Regular polytopes with up to 2000 flags (ordered by the number of flags for each rank) ...................................................................................... Below is a complete list of all abstract regular polytopes with up to 2000 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 2000 in the relevant Coxeter groups, with the help of the MAGMA system. Marston Conder June 2012 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.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 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 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 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 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 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 * 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 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 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.3 * A.2 * A.3 * 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 [ 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 [ 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.2 * A.1 * A.2 * 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, 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, 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.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, 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, 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.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 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 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.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.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.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.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, 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, 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 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.3 * A.1 * A.2 * A.3 * 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 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.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.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.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.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, 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, 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.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 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 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 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 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, 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.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, 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, 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.3 * A.2 * A.1 * A.2)^3, (A.2 * A.3)^6 ] 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, 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 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, 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 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.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.2 * A.3 * A.1 * 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.3 * A.1 * 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.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.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 ] 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 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^32 ] 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 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.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 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, 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, 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.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 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 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 * 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 [ 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 [ 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * 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 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.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, 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, 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.3 * 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 [ 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 [ 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 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.3 * A.2 * A.1 * A.2, (A.1 * A.2)^12, (A.2 * A.3)^12 ] 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 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.2 * A.3 * A.2 * 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 [ 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 [ 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 [ 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 [ 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.3 * A.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.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.3 * A.1 * A.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.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 [ 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 [ 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.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, 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, 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.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, 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.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, 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, 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.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, 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 [ 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.3 * A.1 * A.2 * A.3 * 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 [ 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.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 ] 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.1 * A.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, 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.3 * A.1 * A.2 * A.3 * A.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.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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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.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, 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.3 * A.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, 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, 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.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, 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.3 * A.1 * A.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.3 * A.1 * A.2 * A.3 * 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, 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.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 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.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 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, 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.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, 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 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 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 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 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 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.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.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.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.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, 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, 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, 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, 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.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.3 * A.1 * 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.2 * A.3 * A.2 * A.3 * 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.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.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.3 * A.1 * A.2 * A.3 * 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.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.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.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.3 * 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 * 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.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.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.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 * 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^56 ] 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 [ 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.1 * A.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, 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, 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 * 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 [ 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 [ 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.2 * A.3 * A.1 * A.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, 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, 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.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, 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, 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.1 * A.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, 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, 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.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.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.3 * A.1 * 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.3 * 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 [ 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 [ 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.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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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, 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.1 * A.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.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 * 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, 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.3 * A.2 * A.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 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 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, 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.3 * A.2 * A.1 * A.2 * A.1 * 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)^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)^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 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 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * 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.1 * A.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.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.2 * A.3 * A.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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * 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, 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 [ 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 [ 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.1 * A.2 * A.1 * A.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.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.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)^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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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 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 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.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.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, 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, 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, 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, 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 [ 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 [ 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 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 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.2 * A.1 * A.2 * A.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, 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.1 * A.2 * A.1 * A.2 * 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, 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.1 * A.2 * A.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, 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.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, 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)^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 [ 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 [ 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)^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, 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 * 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, 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 [ 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 [ 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 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.3 * A.1 * A.2 * A.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 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, 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)^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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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, 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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.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 [ 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 [ 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.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.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 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.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 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 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 * 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 [ 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 [ 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 * 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, 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)^2, (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.3 * A.1 * A.2 * A.3 * 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, 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, 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 [ 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 [ 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, 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, 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.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 [ 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 [ 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.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.2 * A.3 * A.1 * A.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.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.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 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.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 [ 10, 10 ] [ 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.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.1 * A.2 * A.1 * A.2 * A.1 * A.2)^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 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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 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 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 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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 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.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, 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, 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.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.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.3 * A.1 * A.2 * A.3 * A.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.1 * A.2 * A.1 * A.2 * 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.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.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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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.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, 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, 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, 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 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.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 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2, (A.2 * A.3)^18 ] 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 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.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, 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.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, 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.1 * A.2 * A.3 * A.1 * A.2 * A.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.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.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, 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.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * 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, 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, 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, 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 * 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 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 [ 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.3 * A.1 * A.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.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.2 ] 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, 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.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.3 * A.2 * A.3 * A.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * 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.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * 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.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, 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, 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.3 * A.2 * A.3 * A.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)^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 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.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 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 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.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.3 * A.1 * 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 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, 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.3 * A.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 [ 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.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.1 * A.2 * A.1 * A.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.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, 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, 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.3 * 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 * 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.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.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 [ 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 [ 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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, 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, 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.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, 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, 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, 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.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.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.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, 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.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.1 * A.2 * A.3 * A.2 * A.3 * A.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.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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.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.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.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, 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, 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.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, 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 [ 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 [ 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.2 * A.1 * A.2 * A.1)^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.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.3 * A.1 * 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.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.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.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, 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.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.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.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.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.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.3 * A.1 * A.2 * A.3 * A.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.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.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.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.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, 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, 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.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.3 * A.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.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.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.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.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, 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, 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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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, 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, 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.3 * A.1 * A.2 * A.3 * A.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)^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.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.1 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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.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.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.3 * A.1 * A.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.3 * A.1 * A.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 * 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.1 * 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.2 * A.3 * A.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.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.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.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.1 * A.2)^8, (A.1 * A.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.3 * A.2 * A.3 * A.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)^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, 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.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, 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.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.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 * 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.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.3 * A.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, 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.3 * A.1 * A.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.3 * A.1 * A.2 * A.3 * 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.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.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.2 * A.3 * A.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.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.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, 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.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * 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.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 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 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 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.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 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.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.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, 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.3 * A.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.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.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, 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.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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 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.3 * A.2 * A.1 * A.2 * A.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.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 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.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 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.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.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.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.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 [ 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 [ 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 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 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.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)^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 * 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 [ 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 [ 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^104 ] 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 [ 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.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.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, 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.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, 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.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.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 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, 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, 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.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.2 * A.3 * A.2 * A.3 * 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.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, 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.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.3 * A.1 * A.2 * A.3 * A.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, 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 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.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.1 * A.2 * A.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 ] 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.2 * A.3 * A.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)^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.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.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.3 * A.2 * A.1 * A.2 * A.1 * 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 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.3 * A.2 * A.1 * 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 ] 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 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.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 ] 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 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, 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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 ] 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.3 * A.1 * A.2 * A.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 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 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.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 [ 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.3 * A.1 * A.2 * A.3 * 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.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 [ 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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 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 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 * 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 [ 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 [ 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.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, 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, 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.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, 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, 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.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, 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.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, 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, 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, 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 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 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.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, 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, 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.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, 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, 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.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.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.1 * A.2 * A.3 * A.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, 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.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, 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, 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, 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.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, 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, 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, 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, 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, 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 * 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, 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 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 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.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.3 * A.1 * A.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)^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.3 * A.1 * 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, 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, 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.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, 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, 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.1 * A.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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, 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, 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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.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.3 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.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.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.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, 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, 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, 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, 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, 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.3 * A.2 * A.3 * A.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, 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.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.1 * A.2 * 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.3 * A.2 * A.1 * 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.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.3 * A.2 * A.1 * A.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.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.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 [ 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.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.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 ] 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.1 * A.2 * A.1 * A.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 * 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 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 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.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 * 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 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.3 * A.1 * 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.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, 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.2 * A.3 * A.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, 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.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, 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, 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, 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, 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.3 * A.2 * A.1 * A.2 * 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.1 * A.3 * A.2 * A.1 * 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.1 * A.3 * A.2 * A.1 * 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, 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 * 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 [ 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)^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 [ 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.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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.3 * A.2 * A.3 * A.1 * A.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, 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, 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.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.2 * A.3 * A.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.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.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 [ 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 [ 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.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.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.3 * A.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, 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, 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.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.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 [ 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 [ 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.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 [ 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 [ 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.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.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.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.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.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.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.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.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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, 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.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.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.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.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, 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.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 * 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.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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^128 ] 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 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.1 * A.2 * A.1 * 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.3 * A.2 * A.3 * A.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 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 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)^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 ] 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 * 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 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 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.3 * A.1 * 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.3 * A.1 * 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.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.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.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 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 * 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.1 * A.2 * A.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.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)^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.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.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.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.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, 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.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.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.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.3 * 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.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)^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.1 * A.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.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 * 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.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.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.3 * A.1 * 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.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.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.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.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.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.2 * A.3 * A.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.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.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.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 * 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.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.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.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.2 * A.3 * A.1 * A.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.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.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.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.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, 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, 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.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * 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.1 * A.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.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.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.2 * A.3 * A.2 * A.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.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.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.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 [ 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 [ 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.3 * A.1 * A.2 * A.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.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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 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.1 * A.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)^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 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.2 * A.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 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, 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.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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 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 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.3 * A.2 * A.1 * A.3 * A.2 * A.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, 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, 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.2 * A.3 * A.2 * A.3 * A.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, 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, 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.3 * A.1 * A.2 * A.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 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 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^136 ] 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 [ 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 * 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 [ 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 [ 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.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, 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, 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.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, 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.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, 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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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, 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, 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, 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, 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, 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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, 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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, 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.1 * A.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, 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 [ 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 [ 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 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.2 * A.3 * A.1 * A.2 * A.1 * A.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.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.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 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, 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.1 * 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.3 * A.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.1 * A.2 * A.3 * A.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.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.2 * A.3 * A.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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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.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.1 * A.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.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, 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.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.1 * A.2 * A.1 * A.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.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, 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.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.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.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.1 * A.2 * A.3 * A.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.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.1 * A.2 * 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, 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)^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 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 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, 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.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.1 * A.2)^8, (A.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 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.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, 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, 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.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.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)^8, (A.1 * A.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.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, 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, 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)^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.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.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, 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.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.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.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.3 * A.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.3 * A.1 * A.2 * A.3 * 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, 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.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 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.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 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.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.1 * A.2 * A.1 * A.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.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 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.3 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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 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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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)^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, 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, 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, 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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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, 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.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.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.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.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.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.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.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.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.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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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, 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)^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 [ 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 * 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 [ 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 [ 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 [ 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.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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.3 * A.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.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.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)^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.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.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 ] 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.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 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 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 * 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 [ 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 [ 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.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, 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, 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.3 * A.1 * A.2 * A.3 * A.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.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)^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 [ 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 [ 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, 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)^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)^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 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 * 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 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 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.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 [ 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 [ 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 * 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 [ 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 [ 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)^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, 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 * 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, 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 * 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)^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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.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, 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.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.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, 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.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.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, 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.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.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, 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.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.2 * A.3 * A.1 * A.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)^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.1 * A.2)^8, (A.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.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.2 * A.3 * A.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, 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.1 * A.2)^8, (A.1 * A.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.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.2 * A.3 * A.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.3 * A.2 * A.3 * A.2 * 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, 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.2 * A.3 * A.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.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, 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.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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.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 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 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.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 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 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, 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.3 * A.1 * 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.3 * A.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.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.3 * A.1 * 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, 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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.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 [ 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.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 [ 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.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, 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, 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, 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, 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.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, 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, 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.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.1 * A.2 * A.3 * A.2 * A.1 * A.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.2 * A.1 * A.2 * A.3 * A.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.3 * A.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, 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.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.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.3 * A.1 * A.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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.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.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 * 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.2 * A.1 * A.2 * A.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.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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.2 * A.3 * A.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.3 * A.1 * A.2 * A.1 * A.2 * 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.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.3 * A.1 * A.2 * A.3 * A.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.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.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.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.2 * A.3 * A.2 * A.3 * 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)^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.3 * A.1 * A.2 * A.3 * 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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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.3 * A.2 * A.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.1 * A.2 * A.1 * A.2 * 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.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.2 * A.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.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.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.3 * 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 * 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.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)^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, 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 * 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.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.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.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, 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, 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, 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 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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 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, 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.2 * A.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 ] 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.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, 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.2 * A.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.1 * A.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.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.3 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.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.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.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.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.1 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.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.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.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.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.1 * A.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.1 * A.2)^5 ] 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.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, 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.3 * A.1 * A.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.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, 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 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 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.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, 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, 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.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.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.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.1 * A.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, 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, 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, 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, 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.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, 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.3 * A.1 * A.2 * A.3 * 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, 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 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.3 * A.1 * A.2 * A.3 * 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 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.3 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.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.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.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.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.3 * A.2 * A.3 * A.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, 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, 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.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)^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.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, 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.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, 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.3 * A.1 * A.2 * A.3 * A.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, 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.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, 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, 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, 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.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 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.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 NSD Type [ 8, 8 ] [ 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)^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 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.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.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 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 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 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)^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.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 * 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.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.3 * A.1 * 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)^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, 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 * 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, 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 [ 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 [ 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, 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, 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, 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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 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 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.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.2 * A.3)^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.3 * 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 [ 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 [ 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 * 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 [ 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 [ 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.3 * A.1 * A.2 * A.3 * 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, 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, 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.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 [ 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 [ 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 * A.1 * A.2 * A.3 * 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, 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, 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.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.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, 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, 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 * 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 [ 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 [ 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 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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 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.2 * A.3 * A.1 * A.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 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 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.1 * A.2 * A.1 * A.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.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.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, 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, 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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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.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, 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, 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.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, 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, 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 * 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.3 * A.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.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.2 * A.3 * A.1 * A.2 * A.1 * A.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.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, 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, 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.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 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 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.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.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.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.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, 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, 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.3 * A.2 * A.3 * A.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.2 * A.3)^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.1 * A.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, 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, 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.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, 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, 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 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.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 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.3 * A.1 * A.2 * A.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 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 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 * 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 [ 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 [ 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.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, 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, 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 [ 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 [ 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.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, 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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * 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, 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, 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 * A.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.3 * A.2 * A.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, 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.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, 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, 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 [ 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 [ 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.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, 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, 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 [ 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 [ 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, 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.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)^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, 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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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.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.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.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.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.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.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.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.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.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, 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 * 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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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.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.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, 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.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.3 * A.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.2 * A.3 * A.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.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.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.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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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 * 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, 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.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.3 * A.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.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.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.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.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, 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.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 * 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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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, 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, 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, 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 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 [ 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.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 * A.1 * A.3 * A.2 * A.3 * A.1 * 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.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 * A.1 * A.2 * A.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 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 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.3 * A.1 * A.2 * A.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 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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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.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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.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.2 * A.3 * A.1 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.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 * 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)^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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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.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.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.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.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)^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.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.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.3 * A.1 * A.2 * A.3 * A.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.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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.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.1 * A.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.1 * A.2 * A.1 * A.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.3 * A.1 * A.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.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.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.3 * 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.2 * A.3 * A.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.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, 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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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.2 * A.1 * A.2 * A.1 * A.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.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.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.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.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.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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.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.1 * A.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, 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, 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, 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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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, 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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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)^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.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.3 * A.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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.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.2 * A.3 * A.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.3 * A.2 * A.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.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.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.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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 * 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.1 * 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.1 * 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.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.3 * A.1 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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.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 * 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.1 * 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.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.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.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.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.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.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.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.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)^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.2 * A.1 * A.2 * A.1 * A.2 * A.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.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.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.1 * A.2 * A.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.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.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)^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, 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 * 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 * 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.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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.1 * A.2)^8, (A.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 * 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, 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.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.2 * A.3 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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.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.1 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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)^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.1 * 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.3 * A.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.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.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.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 * 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.2 * A.3 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.3 * A.1 * A.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.1 * 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.2 * A.3 * A.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.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.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.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.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.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.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.2 * A.3 * A.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.2 * A.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.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.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.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 * 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.3 * A.2 * A.3 * A.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.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.3 * A.2 * A.3 * A.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.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.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)^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, 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 * 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.1 * A.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.3 * A.1 * A.2 * A.3 * 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.3 * A.2 * A.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.1 * A.2)^8, (A.1 * A.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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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 * 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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)^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 * 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.2 * A.3 * A.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.2 * A.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.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.1 * 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.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 * 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)^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, 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 * 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.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.3 * A.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, 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.1 * A.2)^8, (A.1 * A.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.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.2 * A.3 * A.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.1 * A.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.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.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.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.3 * 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 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 [ 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.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 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.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 [ 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.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 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.1 * A.2 * A.1 * A.3 * A.2 * A.1 * 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.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.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 [ 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 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.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 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.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.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.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 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.1 * A.2 * A.1 * A.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.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 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 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 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.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.1 * A.2 * A.3 * A.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 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, 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)^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 * 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)^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.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.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, 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.1 * A.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 * 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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, 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, 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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.3 * A.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.1 * A.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.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.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.1 * A.2 * A.1 * A.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, 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.3 * A.2 * A.3 * A.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.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.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.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 [ 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 [ 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.3 * A.2 * A.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, 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.3 * A.1 * A.2 * A.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.1 * A.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.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.1 * 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, 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.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.3 * A.2 * A.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.2 * A.3 * A.2 * A.3 * A.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.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 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.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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.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.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 [ 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 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.3 * 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, 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 * 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.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.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.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.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.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 * 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 [ 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 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 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 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 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.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, 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, 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.3 * A.1 * A.2 * A.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 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 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.3 * 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 [ 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 [ 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.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 [ 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 [ 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.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, 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, 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.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.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.3 * 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 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.1 * A.2 * A.1 * A.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)^20 ] 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, 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.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.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 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.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 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.1 * A.2 * A.3 * A.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, 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, 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.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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.2 * A.3 * A.2 * A.3 * A.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, 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, 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.1 * A.2 * A.3 * A.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, 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, 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 * 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 [ 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 [ 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.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 [ 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 [ 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.3 * A.1 * A.2 * A.3 * 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, 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, 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.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 [ 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 [ 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.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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, 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, 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.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.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.1 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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, 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.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.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, 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.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, 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.3 * A.1 * A.2 * A.3 * 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, 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 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 [ 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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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 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.1 * A.2 * A.3 * A.2 * A.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.3 * A.1 * A.2 * A.1 * A.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.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.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.1 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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.2 * A.1 * A.2 * A.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.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.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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.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.1 * A.2 * A.1 * A.2 * 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.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.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.3 * A.1 * A.2 * A.3 * A.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.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.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.3 * A.1 * A.2 * A.3 * 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.2 * A.3 * A.2 * A.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.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.3 * A.1 * A.2 * A.3 * A.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.3 * 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 [ 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 [ 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.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.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.3 * A.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, 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, 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)^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, 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 * 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, 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 [ 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 [ 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 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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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)^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.1 * A.2 * A.3 * A.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)^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.3 * A.2 * A.1 * 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.3 * 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, 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.2 * A.3 * A.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)^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.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.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 ] 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.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 ] 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.1 * A.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, 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, 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.1 * 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.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.1 * A.2 * A.1 * A.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.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.1 * A.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.2 * A.3 * A.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.2 * A.3 * A.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.1 * 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.1 * A.2 * A.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.3 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.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.2 * A.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.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.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.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.3 * A.1 * A.2 * A.3 * 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.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.1 * A.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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.3 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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, 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, 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 [ 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.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.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 [ 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.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.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.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, 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, 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 [ 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 [ 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 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.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 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 * 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 [ 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 [ 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.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, 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, 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, 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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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, 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.1 * A.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.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, 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.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 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 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, 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)^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, 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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.3 * A.2 * A.1 * A.3 * A.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 [ 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 [ 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.1 * A.2)^8, (A.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, 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.2 * A.3 * A.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, 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.3 * A.1 * A.2 * A.3 * 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.2 * A.3 * A.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.1 * A.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.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, 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.2 * A.3 * A.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, 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 [ 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.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 [ 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.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 [ 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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 [ 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.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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, 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, 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.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.3 * 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 * 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.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.2 * A.1 * A.2 * A.1 * A.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.1 * A.2 * A.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 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 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 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 * 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 [ 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 [ 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^232 ] 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 [ 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.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.3 * 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)^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.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.3 * A.1 * A.2 * A.3 * 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.1 * 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.2 * A.3 * A.1 * A.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, 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, 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, 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, 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, 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, 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, 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, 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, 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.3 * A.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, 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.1 * A.2 * A.3 * A.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.1 * A.2 * A.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 * 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.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, 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 * 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)^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)^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.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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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, 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.1 * A.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, 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 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 [ 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 * A.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.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 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, 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.2 * A.3 * A.1 * A.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.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.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, 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.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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.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.2 * A.3 * A.1 * A.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.3 * A.1 * 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 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 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.2 * A.3 * A.1 * A.2 * A.3 * 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, 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, 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.1 * A.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.2 * A.3 * A.2 * A.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.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, 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, 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, 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, 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)^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)^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 * 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.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, 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, 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, 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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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, 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 * 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.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)^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)^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, 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, 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, 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.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, 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.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, 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, 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, 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.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.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, 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, 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 * 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, 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.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.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.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.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.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.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, 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.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.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)^8, (A.1 * A.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.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.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 * 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, 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, 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.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.3 * A.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.3 * A.1 * A.2 * A.3 * 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, 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.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 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.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 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.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, 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, 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.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 * 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)^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.3 * A.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, 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, 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, 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, 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 * 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)^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.2 * A.3 * A.2 * A.3 * A.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, 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, 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.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 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 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.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.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.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.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.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.1 * A.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.1 * A.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.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, 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, 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.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.1 * A.2 * 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, 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.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.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.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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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, 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, 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.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, 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.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 [ 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 [ 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 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 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 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 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, 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.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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, 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.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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.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.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 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 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.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.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, 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, 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, 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, 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.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.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.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 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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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.1 * A.2 * A.1 * A.2 * A.3 * A.2)^3 ] 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.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 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, 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.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, 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, 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.1 * A.2 * 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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.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.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.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.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.3 * A.2 * A.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.2 * A.1 * A.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.3 * A.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.1 * A.2 * A.3 * A.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.3 * A.1 * A.2 * A.1 * A.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.3 * A.1 * A.2 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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.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, 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.3 * A.1 * A.2 * A.3 * A.2 * A.3 * A.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.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, 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.3 * A.1 * A.2 * A.3 * 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.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.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.3 * A.1 * A.2 * A.3 * A.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, 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.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, 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, 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, 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 [ 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 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, 9 ] [ A.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.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.1 * A.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 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.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.3 * A.1 * A.2 * A.3 * A.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.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 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 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.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 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.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.1 * A.2 * A.1 * A.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.3 * A.1 * 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.2 * A.1 * A.2 * A.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.3 * A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.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 [ 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.1 * A.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.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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)^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.2 * A.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.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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)^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.3 * A.2 * A.1 * A.2 * A.1 * A.3 * A.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)^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.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 * 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.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.2 * A.1 * A.3 * A.2 * A.3 * A.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.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.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.2 * A.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 ] 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.2 * A.1 * A.3 * A.2 * A.3 * A.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.1 * A.2 * A.3 * A.1 * A.2 * 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.1 * A.2 * A.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 ] 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.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 * 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.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.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 ] 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.3 * A.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.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 ] 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.3 * A.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.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 [ 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)^2, A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * A.3 * A.1 * A.2 * 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 ] 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.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 * 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 ] 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.3 * A.2 * A.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.1 * A.2 * A.3 * A.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.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.3 * A.1 * A.2 * A.1 * A.2 * 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 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, 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 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 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 * 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 [ 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 [ 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.1 * A.2 * A.3 * A.2)^2, (A.2 * A.3)^248 ] 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 [ 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.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, 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, 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.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, 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.3 * A.1 * 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.2 * A.3 * A.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.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.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.3 * A.2 * A.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.3 * 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, 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 ] 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.2 * A.3 * A.4 * A.3)^2, (A.3 * A.4)^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, 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 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 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.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 ] 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 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.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 ] 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.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.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 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.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.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 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.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 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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)^6 ] 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.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 ] 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.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, 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, 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.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 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 [ 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.3 * A.4 * A.2 * 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)^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.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 [ 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 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 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.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 [ 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 [ 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.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.2 * A.1 * A.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2 ] 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.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 ] 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.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 ] 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 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 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.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, 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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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, 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, 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 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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 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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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.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.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.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 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.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 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.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 * 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 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.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)^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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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.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.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, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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, 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.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)^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.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.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.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.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.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 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.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.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 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 [ 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.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)^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.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 [ 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.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)^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.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 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 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.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 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 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.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.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.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.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 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.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.1 * A.2)^6, (A.2 * A.3)^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.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, 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, 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.2 * A.1 * A.2)^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.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.2 * A.3 * A.2 * A.4 * A.3 * A.2 * A.3 * A.2 * A.3 ] 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.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, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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, 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.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 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.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 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.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, 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, 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 8 ] [ A.1^2, A.2^2, 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.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, 12 ] [ A.1^2, A.2^2, 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, 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, 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.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.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.3 * A.1 * 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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 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 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.4 * A.3 * A.2 * A.3 * A.4 * A.3 * 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 ] 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.2 * A.3 * A.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.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 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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 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.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.1 * A.3 * A.2 * A.3 * A.2 * A.1 * A.3 * A.2 ] 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.4 * A.3 * A.2 * A.1 * 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.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.3 * A.4 * A.3 * A.2 * A.1 * 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.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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, 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, 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.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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.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.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.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.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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)^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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 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.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.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, 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 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 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 [ 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.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 ] 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.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 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 * 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 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.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (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.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.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 * 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 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 [ 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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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.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 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 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.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 [ 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.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 [ 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.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, 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, 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.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, 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, 6, 6 ] [ A.1^2, A.2^2, A.3^2, 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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.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.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.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.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.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.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.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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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.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.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.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.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.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.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.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 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 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.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 ] 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.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.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.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.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.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.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.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.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.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.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.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 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 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.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)^4 ] 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.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 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 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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 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.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, 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, 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.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, 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, 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.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)^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.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 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 ] 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.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, 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, 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.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 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.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 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.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.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 ] 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.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 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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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.3 * A.1 * 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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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 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 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.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 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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 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 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 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 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.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.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.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.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.4 * A.2 * A.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.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.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.3 * A.1 * 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.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.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.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.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.4 * A.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.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.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.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.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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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, 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.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.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, 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.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.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.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 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.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.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.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 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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 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.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.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, (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, 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, 8 ] [ A.1^2, A.2^2, A.3^2, 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)^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.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.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.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 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 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.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 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.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.3 * A.2 * A.1 * A.3 * A.2 * A.3 ] 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 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.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, 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, 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.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 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 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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 ] 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.3 * A.1 * 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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 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.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, A.3 * A.2 * A.3 * 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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.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 [ 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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.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, 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, 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 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.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.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.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.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.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.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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, 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.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.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.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.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, 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.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 * A.2 ] 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.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)^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.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)^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, 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, 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.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.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.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 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.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.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.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.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, 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 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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.3 * A.2 * A.3 * A.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.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)^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.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 [ 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.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.1 * A.2 * A.3 * 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 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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.4 * A.2 * A.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, 16 ] [ A.1^2, A.2^2, A.3^2, 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.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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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, 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.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, 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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, 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, 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.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 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.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.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.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 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.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 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.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 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.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, 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, 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.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 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 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.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, 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, 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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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, 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.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.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, 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, 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.2 * A.3 * A.4 * A.3)^2, (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.2 * A.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 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.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 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 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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 ] 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.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, 10 ] [ A.1^2, A.2^2, A.3^2, 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, 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.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, 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, 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.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.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.4 * A.2 * A.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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, 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.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, 6 ] [ A.1^2, A.2^2, 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, 18 ] [ A.1^2, A.2^2, 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.3 * A.1 * 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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.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.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, 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, 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.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.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.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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (A.1 * A.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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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.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.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 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.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.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 ] 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.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.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.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.3 * 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.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 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.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.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 ] 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.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.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 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.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.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 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.1 * A.2 * A.3 * A.2 * A.1 * A.2)^2, (A.2 * A.3)^6, (A.3 * A.4)^6 ] 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.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.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 ] 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, 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.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.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.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, 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.1 * A.2)^6, (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.2 * A.3 * 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 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.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.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 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.2 * A.3 * A.4 * A.3)^2, (A.1 * A.2)^6, (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 ] 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.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.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 ] 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.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 * A.2 * A.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 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 [ 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.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 [ 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.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, 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, 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.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, 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, 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.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 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 ] 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.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, 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, 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.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 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 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.4 * A.3 * A.2 * A.3)^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.4 * A.3 * A.2 * A.3)^3 ] 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.3 * A.1 * 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.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 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 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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, 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 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.2 * A.1 * A.2)^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 * 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 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.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.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.2 * A.3 * A.2 * A.4 * A.3 * A.2 * 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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, 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.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, 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.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.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.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.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, 6, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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, 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.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.4)^6, 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 ] 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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 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.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.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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 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.3 * 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, 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, 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.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 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.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 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.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 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 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.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 [ 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 [ 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 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 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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.4 * A.2 * A.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.4 * A.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.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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.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.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.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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, 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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.3 * A.1 * A.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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 8 ] [ A.1^2, A.2^2, 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.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.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, 12 ] [ A.1^2, A.2^2, 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)^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.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 * 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.3 * A.1 * 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.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.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.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.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.3 * A.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)^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.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.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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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.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.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, 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.3 * A.4)^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 ] 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.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 ] 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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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.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 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.4 * A.3 * A.2 * A.3 * A.4 * A.3 * A.4, (A.2 * A.3)^6, 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.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.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.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 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.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.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 ] 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.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)^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.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 * 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.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.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.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.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 * 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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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.4 * A.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.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.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)^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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 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, 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, 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.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.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.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 * 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.3 * A.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.3 * A.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.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)^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.1 * 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.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.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.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.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.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.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.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.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.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.3 * A.1 * 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.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.3 * A.1 * 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.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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.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.4 * A.2 * A.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, 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.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.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.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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.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, 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.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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * 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 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.3 * A.1 * A.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 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 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.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.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.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.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.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.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 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 * 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, (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.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.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.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 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 * A.4 * A.3 * A.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.2 * A.3 * A.2 * A.3 * A.2 * A.1 * 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.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.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 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.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)^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 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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.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.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.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.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.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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.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.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.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.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.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.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.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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, 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.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, 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.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.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.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.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.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.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.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.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.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.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)^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.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.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 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.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 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.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.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.2 * A.3 * A.2 * A.3 * A.2 * 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 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.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 ] 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.2 * A.3 * A.4 * A.3)^2, (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.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 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.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)^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.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.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.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.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.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.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.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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.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.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.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.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.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.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, 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.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.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.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.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.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.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.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.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, 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.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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 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 [ 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.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.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 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.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 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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 * 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.2 * A.1 * A.2 * A.1 * A.3 * A.2 * A.1 * A.2, (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.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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 * 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 [ 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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, 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.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.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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, 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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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.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.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.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.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.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.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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 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, 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.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 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 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 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.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, (A.1 * A.2 * A.3 * A.2 * A.1 * A.2 * A.1 * A.2)^2 ] 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.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.4 * A.2 * A.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, 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.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, 24 ] [ A.1^2, A.2^2, A.3^2, 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.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.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.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.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)^8 ] 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.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)^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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^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, 16 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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.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.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.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 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.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.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.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.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 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.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)^8, (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.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.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.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.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 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.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 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.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, 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, 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.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.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.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, 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, 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.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, 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, 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.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 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 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.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, 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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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 [ 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 [ 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (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, 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.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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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.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.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.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.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.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.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.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.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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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, 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, 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.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 * 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 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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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.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.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 * 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.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.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.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 * 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.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.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.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)^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 * 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)^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.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 * 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, 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.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, 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, 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.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, 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.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, 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.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 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.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.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.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.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.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 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.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 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 ] 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 [ 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.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)^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.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 [ 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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 18 ] [ A.1^2, A.2^2, A.3^2, 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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 24 ] [ A.1^2, A.2^2, A.3^2, 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.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.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.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.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, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, 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, 12 ] [ A.1^2, A.2^2, A.3^2, A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.3 * 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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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.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.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, 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.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.3 * 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.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.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, 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.1 * A.2)^6, (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.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)^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.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.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 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.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.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.1 * A.2 * A.3 * 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 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.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.1 * A.2 * A.3 * A.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 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.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.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 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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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.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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.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.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.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.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, 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.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, 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 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 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.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.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 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 [ 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.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 [ 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 [ 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 [ 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.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 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.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 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 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.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, 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, 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.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.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, 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, 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.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, 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, 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.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 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, 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 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 [ 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, 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, 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.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 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 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.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, 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, 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.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 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.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 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.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, 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.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, 6, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.3 * A.2 * A.3 * A.1 * A.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.2 * A.3 * A.1 * A.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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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.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.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.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.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.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 [ 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.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 [ 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.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, 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.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, 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.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, A.3 * A.4 * A.2 * 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, 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, 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^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, 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.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.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.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.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, 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, 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * 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, 8 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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.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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.1 * A.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.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, 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.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, 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, 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 * 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.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.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.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, 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, 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.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 * 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.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)^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.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.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 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.3 * A.2 * A.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 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 [ 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.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 [ 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.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, 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, 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.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, 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, 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.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, 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, 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.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 [ 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 [ 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.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, 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, 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.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, 10 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.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.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.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, 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.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, 12 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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, 24 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (A.1 * A.3)^2, (A.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.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 [ 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 [ 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.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.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.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.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.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.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, 18 ] [ A.1^2, A.2^2, A.3^2, A.4^2, (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.4 * A.2 * A.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.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.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.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.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, 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, 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.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.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 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.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.1 * A.2 * A.1 * A.2 * A.3)^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.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)^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 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.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.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 ] 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.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, 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 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.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, (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 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.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.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.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.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.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, 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, 18 ] [ A.1^2, A.2^2, A.3^2, A.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.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)^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 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.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)^2, (A.2 * A.1 * A.2 * A.1 * A.2 * A.3)^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.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)^2, A.3 * A.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 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.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.1 * A.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 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.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.1 * A.2 * A.3 * A.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.2 * A.3 * 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 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.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 * A.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 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.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.1 * A.2)^6, (A.1 * A.2 * A.3 * A.2)^6 ] 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.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, 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, 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.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 [ 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 [ 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.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)^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.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)^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.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 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 ] 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.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, 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, 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.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.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 [ 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.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 [ 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.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.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 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.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.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.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.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.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.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.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 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 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.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.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.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.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.4 * A.5 * A.3 * A.4 * A.3 * A.5 * A.4 * A.3 * A.5 ] 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.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 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.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 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.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)^6 ] 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.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, 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, 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.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.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, 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.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.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, 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.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 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 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.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.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.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.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.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.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.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, 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, 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, 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, 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.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, 4 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * 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.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, 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.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.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.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.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.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.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.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.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.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.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.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.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.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.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.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, 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, 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.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.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 [ 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 [ 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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, 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.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, 6 ] [ A.1^2, A.2^2, A.3^2, A.4^2, A.5^2, (A.1 * A.3)^2, (A.1 * A.4)^2, (A.2 * A.4)^2, (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.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.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, 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, 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, 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.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.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.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 [ 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 [ 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.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, 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, 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.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.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.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.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.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.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.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.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, 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.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.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.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, 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.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.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 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.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 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 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.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, 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, 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.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 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 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 ] 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 ] Minimum order for self-dual regular 6-polytopes = 1728 Minimum order for non-self-dual regular 6-polytopes = not found here Rank 7 or more .............. None