Chiral proper orientably-regular hypermaps of genus 2 to 101 ------------------------------------------------------------ Below is a list of all proper chiral (irreflexible) orientably-regular hypermaps on surfaces of genus 2 to 101, up to isomorphism, triality and reflection - hence with one of each chiral pair listed. Here "proper" means that each of the parameters p, q and r in the type {p,q,r} is greater than 2. (Chiral orientably-regular maps are listed elsewhere.) The notation "CHg.n" is used for the nth proper chiral hypermap of genus g. The defining relations for the automorphism groups are given in terms of a rotation R about a face and a rotation S about a vertex. These were found by Marston Conder (University of Auckland) with the help of the "LowIndexNormalSubgroups" routine in Magma, in September 2006. Total number of chiral hypermaps in list below: 2191 CH3.1 : Type {3,3,7} Order 21 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S * R ] CH4.1 : Type {4,4,5} Order 20 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^2 * S^2 ] CH6.1 : Type {3,3,13} Order 39 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH7.1 : Type {3,9,9} Order 27 Defining relations for automorphism group: [ R^-3, R * S^-1 * R^-1 * S^-2 ] CH8.1 : Type {3,6,6} Order 42 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH8.2 : Type {3,6,6} Order 42 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH9.1 : Type {3,3,19} Order 57 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R ] CH9.2 : Type {4,4,10} Order 40 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 ] CH10.1 : Type {3,3,4} Order 216 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 ] CH10.2 : Type {3,3,21} Order 63 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 ] CH10.3 : Type {3,6,14} Order 42 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH10.4 : Type {4,4,4} Order 72 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S ] CH10.5 : Type {4,4,4} Order 72 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S * R * S^-1 * R^2 * S^2 * R ] CH10.6 : Type {9,9,9} Order 27 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, S^-2 * R^-1 * S^-1 * R ] CH11.1 : Type {4,4,4} Order 80 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH11.2 : Type {4,4,4} Order 80 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH11.3 : Type {4,4,6} Order 60 Defining relations for automorphism group: [ R^4, S^4, S * R^-1 * S^-1 * R * S^-1 * R ] CH11.4 : Type {4,8,8} Order 40 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, S * R^-1 * S^-1 * R^-1 * S^2 * R ] CH11.5 : Type {4,8,8} Order 40 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 ] CH12.1 : Type {3,3,14} Order 84 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH12.2 : Type {4,4,13} Order 52 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH12.3 : Type {5,5,5} Order 55 Defining relations for automorphism group: [ R^-5, R * S * R^2 * S^-2, S^-5 ] CH12.4 : Type {5,5,5} Order 55 Defining relations for automorphism group: [ R^-5, S^2 * R^2 * S * R^-1, S^-5 ] CH12.5 : Type {5,8,8} Order 40 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R, S^8 ] CH12.6 : Type {6,6,7} Order 42 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^-1 * S * R ] CH12.7 : Type {6,6,7} Order 42 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, R * S * R^2 * S^2 ] CH13.1 : Type {3,4,6} Order 96 Defining relations for automorphism group: [ R^-3, S^4, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1 ] CH14.1 : Type {3,6,6} Order 78 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S ] CH14.2 : Type {3,6,6} Order 78 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S ] CH14.3 : Type {4,4,15} Order 60 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R * S * R^-1 ] CH14.4 : Type {8,8,10} Order 40 Defining relations for automorphism group: [ S * R^3 * S * R^-1, R^-1 * S^-1 * R^2 * S^-2 ] CH15.1 : Type {3,3,6} Order 168 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH15.2 : Type {3,3,6} Order 168 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH15.3 : Type {3,3,31} Order 93 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH15.4 : Type {3,4,12} Order 84 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH15.5 : Type {5,5,11} Order 55 Defining relations for automorphism group: [ R^-5, S^2 * R^2 * S^-1 * R^-1, S^-5 ] CH15.6 : Type {5,5,11} Order 55 Defining relations for automorphism group: [ R^-5, R * S * R^2 * S^2, S^-5 ] CH16.1 : Type {3,8,8} Order 72 Defining relations for automorphism group: [ R^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^8 ] CH16.2 : Type {3,18,18} Order 54 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-2 * R * S^-1 * R^-1 * S^-3 ] CH16.3 : Type {4,4,5} Order 100 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH16.4 : Type {4,4,17} Order 68 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 ] CH16.5 : Type {4,6,12} Order 60 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R * S^-1 * R^-2 * S^-1 * R^-1 * S^-1 ] CH16.6 : Type {6,6,9} Order 54 Defining relations for automorphism group: [ R^6, (R * S * R)^2, S * R^-1 * S^-1 * R * S * R^-1 ] CH16.7 : Type {6,6,9} Order 54 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R ] CH17.1 : Type {3,3,7} Order 168 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH17.2 : Type {3,4,4} Order 192 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH17.3 : Type {3,4,4} Order 192 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 ] CH17.4 : Type {3,6,6} Order 96 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 ] CH17.5 : Type {4,4,4} Order 128 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH17.6 : Type {4,4,10} Order 80 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R * S * R^-1 * S^-1 * R^-2 * S * R * S * R * S^-1 ] CH17.7 : Type {7,7,7} Order 56 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-2, (R * S * R)^2, R^-7 ] CH17.8 : Type {7,7,7} Order 56 Defining relations for automorphism group: [ (R * S^-1 * R)^2, R^-1 * S * R^2 * S^2, R^-7 ] CH18.1 : Type {3,3,37} Order 111 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 ] CH19.1 : Type {3,3,6} Order 216 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH19.2 : Type {3,3,39} Order 117 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH19.3 : Type {3,6,26} Order 78 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH19.4 : Type {4,4,4} Order 144 Defining relations for automorphism group: [ R^4, S^4, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1 ] CH19.5 : Type {4,4,4} Order 144 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^2 * R^-1 ] CH19.6 : Type {4,4,20} Order 80 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH19.7 : Type {4,4,20} Order 80 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH19.8 : Type {4,8,8} Order 72 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, R^-1 * S * R^-2 * S^-3 ] CH19.9 : Type {4,8,8} Order 72 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, R^-1 * S^-1 * R^-2 * S^3 ] CH19.10 : Type {4,8,16} Order 64 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH19.11 : Type {4,12,15} Order 60 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-2 ] CH19.12 : Type {6,9,18} Order 54 Defining relations for automorphism group: [ R * S^-1 * R^-1 * S^-2, R^6, S^-2 * R^-2 * S^-1 * R^2 ] CH20.1 : Type {3,6,6} Order 114 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^2 * R * S^2 * R * S * R * S^2 * R * S^-2 * R^-1 * S ] CH20.2 : Type {3,6,6} Order 114 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 ] CH20.3 : Type {5,12,12} Order 60 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^12 ] CH21.1 : Type {3,3,43} Order 129 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 ] CH21.2 : Type {4,4,4} Order 160 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S ] CH21.3 : Type {4,4,4} Order 160 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R * S ] CH21.4 : Type {4,4,6} Order 120 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH21.5 : Type {4,4,10} Order 100 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH21.6 : Type {4,6,6} Order 96 Defining relations for automorphism group: [ R^4, S^6, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R ] CH21.7 : Type {4,8,8} Order 80 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH21.8 : Type {4,8,8} Order 80 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH21.9 : Type {4,16,16} Order 64 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R * S^-2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH21.10 : Type {6,12,12} Order 60 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH21.11 : Type {7,9,9} Order 63 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^-9 ] CH22.1 : Type {3,3,6} Order 252 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH22.2 : Type {3,6,6} Order 126 Defining relations for automorphism group: [ R^-3, S^6, S * R * S^-1 * R^-1 * S^-2 * R^-1 ] CH22.3 : Type {3,6,6} Order 126 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R ] CH22.4 : Type {3,6,6} Order 126 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH22.5 : Type {3,6,6} Order 126 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH22.6 : Type {3,6,6} Order 126 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R^-1 * S^-2 * R^-1 * S^-2 * R * S * R * S^2 * R * S^2 ] CH22.7 : Type {3,12,12} Order 84 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^-1 ] CH22.8 : Type {3,12,12} Order 84 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH22.9 : Type {4,6,12} Order 84 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH22.10 : Type {6,6,6} Order 84 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^2 * S^-2 * R ] CH22.11 : Type {6,6,6} Order 84 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, (R * S * R)^2, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH22.12 : Type {9,9,9} Order 63 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, R^-1 * S^-1 * R^-2 * S^-1 * R * S ] CH22.13 : Type {9,18,18} Order 54 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^-2 * R^-1 * S^-1 * R * S^-3 ] CH24.1 : Type {3,3,26} Order 156 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH24.2 : Type {3,3,49} Order 147 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH24.3 : Type {3,12,28} Order 84 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH24.4 : Type {4,4,25} Order 100 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R * S * R * S * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1 ] CH24.5 : Type {6,6,13} Order 78 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R * S * R^2 * S^2 * R ] CH24.6 : Type {6,6,13} Order 78 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH24.7 : Type {9,9,21} Order 63 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 ] CH24.8 : Type {12,12,15} Order 60 Defining relations for automorphism group: [ (R * S^-1)^2, R * S * R^2 * S^2 ] CH25.1 : Type {3,4,6} Order 192 Defining relations for automorphism group: [ R^-3, S^4, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S ] CH25.2 : Type {3,9,9} Order 108 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH25.3 : Type {3,27,27} Order 81 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-3 * R * S^-1 * R^-1 * S^-5 ] CH25.4 : Type {4,4,8} Order 128 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH25.5 : Type {4,4,8} Order 128 Defining relations for automorphism group: [ R^4, S^4, S * R^-1 * S^-1 * R^2 * S^2 * R ] CH25.6 : Type {4,4,26} Order 104 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH25.7 : Type {8,16,16} Order 64 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, S^-1 * R^-1 * S^-1 * R * S^-2 ] CH26.1 : Type {3,3,4} Order 600 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH26.2 : Type {3,3,4} Order 600 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R * S^-1 ] CH26.3 : Type {3,3,28} Order 168 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH26.4 : Type {3,4,4} Order 300 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH26.5 : Type {3,4,4} Order 300 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 ] CH26.6 : Type {4,4,4} Order 200 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH26.7 : Type {4,5,20} Order 100 Defining relations for automorphism group: [ R^4, S^-5, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH26.8 : Type {6,6,14} Order 84 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 ] CH26.9 : Type {6,6,14} Order 84 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-2 * R^3 * S^-1 * R^-1 * S^-1 ] CH27.1 : Type {3,3,6} Order 312 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S ] CH27.2 : Type {3,4,12} Order 156 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH27.3 : Type {3,4,12} Order 156 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 ] CH27.4 : Type {3,4,12} Order 156 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH27.5 : Type {4,4,4} Order 208 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1 ] CH27.6 : Type {4,4,4} Order 208 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 ] CH27.7 : Type {4,4,6} Order 156 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^2 * S^2 * R^-1 * S ] CH27.8 : Type {4,8,8} Order 104 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH27.9 : Type {4,8,8} Order 104 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S ] CH27.10 : Type {8,8,10} Order 80 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S * R * S * R^2 * S^2 * R ] CH27.11 : Type {8,8,10} Order 80 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 ] CH28.1 : Type {3,3,4} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R ] CH28.2 : Type {3,3,9} Order 243 Defining relations for automorphism group: [ R^-3, S^-3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH28.3 : Type {3,3,9} Order 243 Defining relations for automorphism group: [ R^-3, S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S, (R^-1 * S^-1 * R * S^-1)^3, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] CH28.4 : Type {3,3,21} Order 189 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH28.5 : Type {3,3,57} Order 171 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH28.6 : Type {3,4,6} Order 216 Defining relations for automorphism group: [ R^-3, S^4, (S^-1 * R)^3, (R^-1 * S^-1)^6, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1 ] CH28.7 : Type {3,6,14} Order 126 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 ] CH28.8 : Type {3,6,38} Order 114 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 * R ] CH28.9 : Type {3,9,18} Order 108 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R ] CH28.10 : Type {4,4,4} Order 216 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, (R^-1 * S^-1)^4, S^-1 * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH28.11 : Type {4,4,29} Order 116 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH28.12 : Type {5,16,16} Order 80 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^16 ] CH28.13 : Type {9,9,9} Order 81 Defining relations for automorphism group: [ S^2 * R^2 * S * R, S * R^4 * S^2 * R^-1, R^-9 ] CH28.14 : Type {9,9,9} Order 81 Defining relations for automorphism group: [ R * S^-1 * R^2 * S^-2, S^-1 * R^4 * S^-1 * R^-1 * S^-1, R^-9 ] CH29.1 : Type {3,4,8} Order 192 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S ] CH29.2 : Type {3,6,6} Order 168 Defining relations for automorphism group: [ R^-3, S^6, R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1, R * S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 * S^-1 ] CH29.3 : Type {3,6,6} Order 168 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH29.4 : Type {3,6,6} Order 168 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R * S^2 * R * S^2 * R * S * R * S^2 * R * S^-2 * R^-1 * S^-2 ] CH29.5 : Type {3,15,15} Order 105 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-2 * R * S^-1 * R^-1 * S^-2 * R^-1 ] CH29.6 : Type {4,4,30} Order 120 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH29.7 : Type {6,12,12} Order 84 Defining relations for automorphism group: [ R^6, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1, S * R * S^-1 * R^-1 * S^-2 * R^-1 ] CH29.8 : Type {6,12,12} Order 84 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, R^6, S^2 * R * S^-1 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH29.9 : Type {8,8,20} Order 80 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 ] CH29.10 : Type {8,8,20} Order 80 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 ] CH30.1 : Type {3,3,61} Order 183 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R ] CH30.2 : Type {7,12,12} Order 84 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R, S^-1 * R^3 * S * R, S^12 ] CH30.3 : Type {7,12,12} Order 84 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, S * R^3 * S^-1 * R^-1, S^12 ] CH31.1 : Type {3,6,7} Order 168 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, S^2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R ] CH31.2 : Type {3,6,7} Order 168 Defining relations for automorphism group: [ R^-3, S^6, S * R^-1 * S^-1 * R^-1 * S^2 * R, S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 ] CH31.3 : Type {3,6,7} Order 168 Defining relations for automorphism group: [ R^-3, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, S^-3 * R^-1 * S^-1 * R^-1 * S^-2 * R * S * R^-1 ] CH31.4 : Type {3,6,7} Order 168 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R ] CH31.5 : Type {3,6,42} Order 126 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S * R^-1 ] CH31.6 : Type {3,15,35} Order 105 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-2 * R ] CH31.7 : Type {4,4,8} Order 160 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 ] CH31.8 : Type {4,4,8} Order 160 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 ] CH31.9 : Type {4,4,8} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH31.10 : Type {4,4,8} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH31.11 : Type {4,4,14} Order 140 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 ] CH31.12 : Type {4,6,12} Order 120 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH31.13 : Type {4,9,12} Order 108 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH31.14 : Type {4,10,20} Order 100 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-2 * S^-1 * R^-1 * S^-2 ] CH31.15 : Type {6,12,28} Order 84 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^-1 * S * R * S, S * R * S^-1 * R^-1 * S^2 * R^-1 ] CH31.16 : Type {8,16,16} Order 80 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH31.17 : Type {8,16,16} Order 80 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S ] CH31.18 : Type {8,16,16} Order 80 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^8 ] CH32.1 : Type {3,6,6} Order 186 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] CH32.2 : Type {3,6,6} Order 186 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^-2 ] CH32.3 : Type {5,5,5} Order 155 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 ] CH32.4 : Type {5,5,5} Order 155 Defining relations for automorphism group: [ R^-5, S^-5, R^-1 * S^-1 * R^-2 * S^-1 * R * S ] CH32.5 : Type {10,16,16} Order 80 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, S * R^3 * S^-1 * R^-1, S^-2 * R * S^-1 * R^-2 * S^-5 ] CH33.1 : Type {3,3,6} Order 384 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH33.2 : Type {3,3,67} Order 201 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH33.3 : Type {3,4,4} Order 384 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH33.4 : Type {3,4,4} Order 384 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] CH33.5 : Type {3,4,12} Order 192 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] CH33.6 : Type {3,4,12} Order 192 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH33.7 : Type {3,6,6} Order 192 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, (R * S^-1)^4 ] CH33.8 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH33.9 : Type {4,4,6} Order 192 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1 ] CH33.10 : Type {4,4,10} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH33.11 : Type {4,4,34} Order 136 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH33.12 : Type {4,8,8} Order 128 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH33.13 : Type {4,8,8} Order 128 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S ] CH33.14 : Type {12,12,14} Order 84 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, S * R^-1 * S^-1 * R^2 * S * R * S ] CH33.15 : Type {12,12,14} Order 84 Defining relations for automorphism group: [ (S^-1 * R)^3, S^-1 * R^4 * S^-1 * R^-1 * S^-1, S * R^4 * S * R^-2 ] CH34.1 : Type {3,36,36} Order 108 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^4 * R * S^4 * R^-1 * S^4 ] CH34.2 : Type {4,4,35} Order 140 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 ] CH34.3 : Type {4,6,8} Order 144 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^6, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1 ] CH34.4 : Type {4,6,8} Order 144 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S ] CH34.5 : Type {4,6,8} Order 144 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^-2 * R^-1, S * R^-1 * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S ] CH34.6 : Type {4,12,18} Order 108 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S * R^-1 * S^-1 * R * S^-3 ] CH34.7 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, S^-2 * R^-2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH34.8 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, R^-1 * S * R^-2 * S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R ] CH34.9 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ (R * S^-1)^2, R^-5, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1 ] CH34.10 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ (R * S^-1)^2, R^-5, R^-2 * S^-1 * R^-2 * S * R * S^-2 ] CH34.11 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, (R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S^-2 * R^-1 ] CH34.12 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R^-1 * S^-2 * R ] CH34.13 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, S^2 * R^-2 * S * R^-1 * S, S * R^-1 * S^-1 * R^-1 * S^-2 * R ] CH34.14 : Type {5,10,10} Order 110 Defining relations for automorphism group: [ R^-5, S^-2 * R^-2 * S * R * S^-1, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH34.15 : Type {6,6,18} Order 108 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH34.16 : Type {6,6,18} Order 108 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] CH34.17 : Type {6,9,9} Order 108 Defining relations for automorphism group: [ R^6, S^-2 * R^-2 * S^-1 * R^2, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 ] CH34.18 : Type {9,27,27} Order 81 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^-2 * R * S^-2 * R^-1 * S^-5 ] CH34.19 : Type {16,16,20} Order 80 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-2, R^5 * S^-1 * R * S^-1 ] CH35.1 : Type {4,4,4} Order 272 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S * R^2 * S * R * S * R^-1 * S * R ] CH35.2 : Type {4,4,4} Order 272 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH35.3 : Type {4,4,6} Order 204 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R * S^-1 * R * S^-1 * R^2 * S^2 * R * S^-1 ] CH35.4 : Type {4,8,8} Order 136 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-1 * S^-2 * R * S * R * S^-1 * R * S^-1 ] CH35.5 : Type {4,8,8} Order 136 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 ] CH35.6 : Type {4,8,8} Order 136 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-1 * S^-2 * R * S * R * S^-1 * R^-1 * S^-1 ] CH35.7 : Type {4,8,8} Order 136 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, S * R * S^-1 * R^-1 * S * R * S ] CH35.8 : Type {4,8,8} Order 136 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R^-2 * S^-1 * R^-2 * S * R^-1 * S^-2 ] CH35.9 : Type {4,10,12} Order 120 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S^-2 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R * S ] CH36.1 : Type {3,3,38} Order 228 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S ] CH36.2 : Type {3,3,73} Order 219 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH36.3 : Type {3,7,21} Order 147 Defining relations for automorphism group: [ R^-3, (S, R^-1, S), S^-7, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH36.4 : Type {4,4,37} Order 148 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R * S * R ] CH36.5 : Type {4,6,6} Order 168 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R^-1 * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH36.6 : Type {5,20,20} Order 100 Defining relations for automorphism group: [ R^-5, R * S^-1 * R^-2 * S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH36.7 : Type {5,20,20} Order 100 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R, S^20 ] CH36.8 : Type {5,20,20} Order 100 Defining relations for automorphism group: [ R^-5, (R^-1 * S^-2)^2, R^-1 * S * R^-2 * S^3 ] CH36.9 : Type {6,6,19} Order 114 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R * S * R * S * R^2 * S * R * S^2 ] CH36.10 : Type {6,6,19} Order 114 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH36.11 : Type {8,8,13} Order 104 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R * S * R^-1 * S^-1 * R^2 * S^2 * R * S ] CH37.1 : Type {3,3,4} Order 864 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 ] CH37.2 : Type {3,3,21} Order 252 Defining relations for automorphism group: [ R^-3, S^-3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S, (R^-1 * S^-1 * R * S^-1)^3 ] CH37.3 : Type {3,4,6} Order 288 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 ] CH37.4 : Type {3,6,14} Order 168 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH37.5 : Type {4,4,4} Order 288 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-1 * S * R^-2 * S^-1 * R^2 * S^2 * R * S^2, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^-1 ] CH37.6 : Type {4,4,4} Order 288 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-2 * R^-2 * S^-1 * R^2 * S * R * S^2 * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH37.7 : Type {4,4,20} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH37.8 : Type {4,4,20} Order 160 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R * S * R * S * R * S * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH37.9 : Type {4,8,8} Order 144 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH37.10 : Type {4,8,8} Order 144 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, S^-1 * R * S^-1 * R^2 * S^-2 * R^-1 ] CH37.11 : Type {5,10,22} Order 110 Defining relations for automorphism group: [ R^-5, R * S * R^-2 * S^3, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S ] CH37.12 : Type {5,10,22} Order 110 Defining relations for automorphism group: [ R^-5, S^2 * R^-2 * S^-1 * R^-1 * S, R * S^-2 * R^-1 * S^-1 * R * S^-1 ] CH37.13 : Type {9,9,9} Order 108 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 * R ] CH37.14 : Type {27,27,27} Order 81 Defining relations for automorphism group: [ R * S^-1 * R^2 * S^-2, S^-1 * R^4 * S^-1 * R^-1 * S^-1, R^-6 * S^-3 ] CH38.1 : Type {3,6,6} Order 222 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R ] CH38.2 : Type {3,6,6} Order 222 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 ] CH38.3 : Type {4,4,39} Order 156 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S ] CH38.4 : Type {8,8,26} Order 104 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH39.1 : Type {3,3,6} Order 456 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH39.2 : Type {3,3,79} Order 237 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S ] CH39.3 : Type {3,4,12} Order 228 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R ] CH39.4 : Type {3,9,9} Order 171 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-3, R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 ] CH39.5 : Type {3,9,9} Order 171 Defining relations for automorphism group: [ R^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2, R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S ] CH39.6 : Type {3,9,9} Order 171 Defining relations for automorphism group: [ R^-3, S^2 * R^-1 * S^-1 * R * S^2 * R ] CH39.7 : Type {4,4,40} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S ] CH39.8 : Type {4,4,40} Order 160 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH39.9 : Type {4,8,32} Order 128 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH39.10 : Type {4,12,30} Order 120 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S * R * S * R^2 * S^-2 * R, S^-2 * R * S^-1 * R * S^-3 ] CH39.11 : Type {7,15,15} Order 105 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R, S^-1 * R^3 * S * R, S^-15 ] CH40.1 : Type {3,3,6} Order 468 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] CH40.2 : Type {3,3,42} Order 252 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, (R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1)^2 ] CH40.3 : Type {3,6,6} Order 234 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH40.4 : Type {3,6,6} Order 234 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] CH40.5 : Type {3,6,6} Order 234 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R ] CH40.6 : Type {3,6,6} Order 234 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (S * R^-1 * S)^3, S * R * S^2 * R^-1 * S^-1 * R^-1 * S^3 * R * S ] CH40.7 : Type {3,6,6} Order 234 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^-2 * R^-1 * S ] CH40.8 : Type {3,6,28} Order 168 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, S^2 * R * S^-1 * R * S^2 * R, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH40.9 : Type {3,12,12} Order 156 Defining relations for automorphism group: [ R^-3, (R^-1 * S^-2)^2, (R * S^-1)^4, S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 ] CH40.10 : Type {3,12,12} Order 156 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 ] CH40.11 : Type {3,12,12} Order 156 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R * S * R^-1 * S^-1 * R * S^2 * R * S ] CH40.12 : Type {3,16,16} Order 144 Defining relations for automorphism group: [ R^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^16 ] CH40.13 : Type {4,4,15} Order 180 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R * S * R * S * R * S * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 ] CH40.14 : Type {4,4,41} Order 164 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 ] CH40.15 : Type {4,6,12} Order 156 Defining relations for automorphism group: [ R^4, S^6, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 ] CH40.16 : Type {4,6,12} Order 156 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R * S ] CH40.17 : Type {4,6,12} Order 156 Defining relations for automorphism group: [ R^4, S^6, S * R * S * R^2 * S^-2 * R, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 ] CH40.18 : Type {4,6,12} Order 156 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^-1 ] CH40.19 : Type {6,6,6} Order 156 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-1 * R * S^-1 * R^2 * S^-2 * R ] CH40.20 : Type {6,6,6} Order 156 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH40.21 : Type {6,6,21} Order 126 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH40.22 : Type {6,6,21} Order 126 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R * S * R^-1, (S^-1 * R)^3 ] CH40.23 : Type {6,6,21} Order 126 Defining relations for automorphism group: [ R^6, R * S * R^2 * S^2, (S^-1 * R)^3 ] CH40.24 : Type {6,6,21} Order 126 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R * S^2 * R^2 * S * R * S * R ] CH40.25 : Type {6,18,18} Order 108 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-3 ] CH40.26 : Type {9,9,9} Order 117 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S * R^-1 * S * R^-2 * S^-1 * R^-1 * S * R^-1 ] CH40.27 : Type {9,9,18} Order 108 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-9, S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R^-1 ] CH40.28 : Type {9,12,12} Order 108 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, R^-4 * S^-1 * R^-1 * S, S^12 ] CH40.29 : Type {9,12,12} Order 108 Defining relations for automorphism group: [ S^-2 * R^-2 * S^2 * R^-1, S^2 * R^-2 * S * R * S ] CH40.30 : Type {10,10,11} Order 110 Defining relations for automorphism group: [ S^2 * R^2 * S^-1 * R^-1, R^-1 * S * R^3 * S * R * S, R^10 ] CH40.31 : Type {10,10,11} Order 110 Defining relations for automorphism group: [ S^2 * R^2 * S^-1 * R^-1, R^-1 * S^-1 * R^3 * S^3, R^10 ] CH40.32 : Type {10,10,11} Order 110 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S * R, S * R^4 * S^2 * R^-1, R^10 ] CH40.33 : Type {10,10,11} Order 110 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^-1 * S^-1 * R^3 * S * R^-1 * S, R^10 ] CH41.1 : Type {3,3,8} Order 384 Defining relations for automorphism group: [ R^-3, S^-3, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 ] CH41.2 : Type {3,8,8} Order 192 Defining relations for automorphism group: [ R^-3, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, S^8, S^2 * R * S^-1 * R^-1 * S^3 * R ] CH41.3 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1, S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R ] CH41.4 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 ] CH41.5 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH41.6 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R ] CH41.7 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R * S^2 * R * S^-1 ] CH41.8 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH41.9 : Type {4,4,4} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R^-1 ] CH41.10 : Type {4,4,6} Order 240 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R * S * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S ] CH41.11 : Type {4,4,6} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] CH41.12 : Type {4,4,6} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH41.13 : Type {4,4,10} Order 200 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S * R * S * R * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S ] CH41.14 : Type {4,4,10} Order 200 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 ] CH41.15 : Type {4,4,10} Order 200 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH41.16 : Type {4,4,18} Order 180 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R * S^-1 ] CH41.17 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, (S^-1 * R)^3, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH41.18 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R ] CH41.19 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] CH41.20 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] CH41.21 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] CH41.22 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH41.23 : Type {4,6,6} Order 192 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R * S^-1 * R^-1 * S^2 * R ] CH41.24 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH41.25 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1 * S^-1 ] CH41.26 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH41.27 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH41.28 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH41.29 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^2 * R * S^-1 ] CH41.30 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R ] CH41.31 : Type {4,8,8} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R ] CH41.32 : Type {4,16,16} Order 128 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 ] CH41.33 : Type {4,16,16} Order 128 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R * S^-2)^2, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH41.34 : Type {4,16,16} Order 128 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH41.35 : Type {4,16,16} Order 128 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH41.36 : Type {4,24,24} Order 120 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 ] CH41.37 : Type {4,24,24} Order 120 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R ] CH41.38 : Type {6,12,12} Order 120 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH41.39 : Type {7,14,14} Order 112 Defining relations for automorphism group: [ (R * S * R)^2, R^-7, S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R ] CH41.40 : Type {7,14,14} Order 112 Defining relations for automorphism group: [ (R * S^-1 * R)^2, R^-7, S * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 ] CH41.41 : Type {7,14,14} Order 112 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, R^-7, R * S * R^-2 * S^-3 ] CH41.42 : Type {8,8,8} Order 128 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S ] CH41.43 : Type {8,8,12} Order 120 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S * R^-1, R^8, S^-1 * R^4 * S^-3 ] CH41.44 : Type {8,8,12} Order 120 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, R * S^-1 * R^3 * S * R * S^-1 ] CH41.45 : Type {10,20,20} Order 100 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, S^-1 * R^4 * S^-3 ] CH41.46 : Type {10,20,20} Order 100 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S * R^-1 * S^-1 * R^-1 * S^-2 * R, R^10 ] CH42.1 : Type {5,5,5} Order 205 Defining relations for automorphism group: [ R^-5, S^-5, S * R^-1 * S^-1 * R^-2 * S * R^2 * S, R^2 * S^-1 * R^-2 * S^2 * R^-1 * S ] CH42.2 : Type {5,5,5} Order 205 Defining relations for automorphism group: [ R^-5, S^-5, R^-1 * S^-2 * R^-2 * S * R^-1 * S * R^-1, R * S^-2 * R^-2 * S^-1 * R^-1 * S^2 ] CH42.3 : Type {8,8,15} Order 120 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S * R^-1, R^8, S^-1 * R^4 * S^-3 ] CH42.4 : Type {9,9,13} Order 117 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-9 ] CH43.1 : Type {3,3,6} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH43.2 : Type {3,3,6} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S ] CH43.3 : Type {3,4,6} Order 336 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R ] CH43.4 : Type {3,4,12} Order 252 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R ] CH43.5 : Type {3,8,24} Order 168 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH43.6 : Type {3,9,9} Order 189 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R ] CH43.7 : Type {3,9,9} Order 189 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH43.8 : Type {3,9,9} Order 189 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, R * S^-1 * R * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH43.9 : Type {3,21,21} Order 147 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^-4 ] CH43.10 : Type {3,45,45} Order 135 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-8 * R * S^-2 * R^-1 * S^-5 ] CH43.11 : Type {4,6,12} Order 168 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH43.12 : Type {4,6,12} Order 168 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH43.13 : Type {4,8,10} Order 160 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R * S^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH43.14 : Type {4,8,10} Order 160 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, (R^-1 * S^-3)^2, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH43.15 : Type {6,6,6} Order 168 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^-2 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 ] CH43.16 : Type {6,6,6} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, R * S * R^-2 * S * R * S, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH43.17 : Type {6,8,8} Order 144 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, S^-1 * R * S^-1 * R^2 * S^2 * R, S^8 ] CH43.18 : Type {6,9,18} Order 126 Defining relations for automorphism group: [ S * R^-2 * S^2, R^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH43.19 : Type {6,9,18} Order 126 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-2, R^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH43.20 : Type {6,36,36} Order 108 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-2 * R^-2 * S^-4 ] CH43.21 : Type {9,12,36} Order 108 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^12 ] CH43.22 : Type {12,12,18} Order 108 Defining relations for automorphism group: [ S * R^4 * S * R^-2, R^-1 * S^-1 * R^3 * S^-1 * R * S^-1 ] CH43.23 : Type {12,12,18} Order 108 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^4 * S^-1 * R^-2, R^-12 ] CH43.24 : Type {15,15,15} Order 105 Defining relations for automorphism group: [ R^-1 * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R^-2 * S * R^-1 * S^-1, S^2 * R^-3 * S^4 ] CH44.1 : Type {3,6,6} Order 258 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] CH44.2 : Type {3,6,6} Order 258 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 ] CH44.3 : Type {4,4,45} Order 180 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 ] CH44.4 : Type {5,24,24} Order 120 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^24 ] CH44.5 : Type {8,8,30} Order 120 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, R^-1 * S^-1 * R^3 * S * R * S^-1 ] CH45.1 : Type {3,3,91} Order 273 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH45.2 : Type {3,3,91} Order 273 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH45.3 : Type {3,12,52} Order 156 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S ] CH45.4 : Type {4,6,8} Order 192 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^-2 ] CH45.5 : Type {4,32,32} Order 128 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-3 * R^-1 * S^-1 * R * S^-4 ] CH45.6 : Type {5,5,31} Order 155 Defining relations for automorphism group: [ R^-5, S^-5, R^-2 * S^-1 * R^2 * S * R * S ] CH45.7 : Type {5,5,31} Order 155 Defining relations for automorphism group: [ R^-5, S^-1 * R^-1 * S^-1 * R^-1 * S * R ] CH45.8 : Type {6,6,7} Order 168 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1, S^-2 * R * S^-1 * R^-1 * S^-2 * R ] CH45.9 : Type {6,6,7} Order 168 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-2, R^-2 * S^-1 * R^-2 * S^-1 * R * S^2 ] CH45.10 : Type {8,8,16} Order 128 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S ] CH45.11 : Type {8,8,16} Order 128 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH45.12 : Type {9,9,39} Order 117 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S * R^-1 * S^-1 * R^-2 * S * R * S * R ] CH45.13 : Type {10,12,12} Order 120 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, S * R^3 * S^-1 * R, S^12 ] CH45.14 : Type {15,15,35} Order 105 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S * R * S, S * R * S^-1 * R^-1 * S^2 * R^-1, R^-6 * S^-3 ] CH45.15 : Type {15,15,35} Order 105 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S * R^-2 * S^-1 * R^-1 * S^-1 ] CH46.1 : Type {3,3,4} Order 1080 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 ] CH46.2 : Type {3,3,93} Order 279 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH46.3 : Type {3,6,62} Order 186 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH46.4 : Type {3,8,8} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^8, S^2 * R * S^-1 * R^-1 * S^-2 * R^-1 * S ] CH46.5 : Type {3,8,8} Order 216 Defining relations for automorphism group: [ R^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^8 ] CH46.6 : Type {3,8,8} Order 216 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^8 ] CH46.7 : Type {3,18,18} Order 162 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-1 * S^-2 * R * S^-3 ] CH46.8 : Type {4,4,12} Order 216 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, (R * S^-1)^4, S * R^-2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 ] CH46.9 : Type {4,4,12} Order 216 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S ] CH46.10 : Type {4,4,12} Order 216 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH46.11 : Type {4,6,6} Order 216 Defining relations for automorphism group: [ R^4, (S^-1 * R)^3, S^6, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R * S * R^-2 * S^-1 * R^-1 * S^-2 ] CH46.12 : Type {4,6,12} Order 180 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 ] CH46.13 : Type {4,14,28} Order 140 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, R * S^-1 * R^-1 * S^-1 * R^-2 * S^-5 ] CH46.14 : Type {4,16,16} Order 144 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S ] CH46.15 : Type {5,25,25} Order 125 Defining relations for automorphism group: [ R^-5, S^-3 * R^-1 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH46.16 : Type {5,25,25} Order 125 Defining relations for automorphism group: [ R^-5, R * S^-2 * R^-1 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH46.17 : Type {6,6,9} Order 162 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^6, S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH46.18 : Type {6,6,9} Order 162 Defining relations for automorphism group: [ R^6, S^6, R * S^-1 * R^3 * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH46.19 : Type {6,6,9} Order 162 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH46.20 : Type {8,12,24} Order 120 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R * S * R^-2 * S * R^-1 * S, R^8 ] CH46.21 : Type {8,12,24} Order 120 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R * S^-1 * R^-2 * S^-1 * R^-1 * S^-1, R^8 ] CH46.22 : Type {9,36,36} Order 108 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^4 * R * S^2 * R^-1 * S^6 ] CH46.23 : Type {12,18,36} Order 108 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-3, R^-5 * S * R^-1 * S^2 ] CH46.24 : Type {18,18,18} Order 108 Defining relations for automorphism group: [ R^5 * S * R * S^-1, S * R^4 * S^-1 * R^2, S^-2 * R^-1 * S^-1 * R * S^-3 ] CH47.1 : Type {4,8,20} Order 160 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R * S^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH47.2 : Type {4,8,20} Order 160 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, (R^-1 * S^-3)^2, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R * S^-1 ] CH47.3 : Type {8,15,24} Order 120 Defining relations for automorphism group: [ S^-2 * R^-1 * S^-1 * R, R^8, R * S^-1 * R^-3 * S^-2 * R^2 ] CH48.1 : Type {3,3,97} Order 291 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH48.2 : Type {7,18,18} Order 126 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^18 ] CH48.3 : Type {7,18,18} Order 126 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, S^-1 * R^3 * S * R^-1, S^18 ] CH48.4 : Type {8,8,17} Order 136 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^8, (R * S^-1 * R^2)^2 ] CH48.5 : Type {8,8,17} Order 136 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S * R, R^8, (R * S^-1 * R^2)^2 ] CH48.6 : Type {8,8,17} Order 136 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R * S * R * S * R^2 * S^2 * R * S ] CH49.1 : Type {3,4,4} Order 576 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^2 ] CH49.2 : Type {3,4,6} Order 384 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 ] CH49.3 : Type {3,4,6} Order 384 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S * R^-1 * S^-1 ] CH49.4 : Type {3,5,15} Order 240 Defining relations for automorphism group: [ R^-3, S^-5, (R^-1, S^-1)^2, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R ] CH49.5 : Type {3,6,6} Order 288 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] CH49.6 : Type {3,6,6} Order 288 Defining relations for automorphism group: [ R^-3, S^6, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] CH49.7 : Type {3,6,6} Order 288 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-1)^4, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-3 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 ] CH49.8 : Type {3,12,12} Order 192 Defining relations for automorphism group: [ R^-3, (R * S^-1)^4, S^2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S^2 * R * S^-1 * R^-1 * S^-3 * R^-1 ] CH49.9 : Type {3,12,12} Order 192 Defining relations for automorphism group: [ R^-3, (R * S^-1)^4, S^2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S^2 * R * S^-1 * R^-1 * S^3 * R^-1 ] CH49.10 : Type {4,4,5} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1, (S^-1 * R^-1)^5 ] CH49.11 : Type {4,4,5} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH49.12 : Type {4,4,8} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-2 * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^2 * R * S^2 * R^-1 ] CH49.13 : Type {4,4,8} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH49.14 : Type {4,4,8} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R * S^2 ] CH49.15 : Type {4,4,8} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S ] CH49.16 : Type {4,4,26} Order 208 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1 * R^-1 * S^2 ] CH49.17 : Type {4,4,50} Order 200 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R ] CH49.18 : Type {4,6,12} Order 192 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH49.19 : Type {4,6,12} Order 192 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2 ] CH49.20 : Type {4,8,40} Order 160 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S ] CH49.21 : Type {4,8,40} Order 160 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S * R * S^-1 * R^2 * S^-1 * R * S, S^8 ] CH49.22 : Type {4,28,35} Order 140 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S * R * S^-1 * R^2 * S^-1 * R * S, S^-1 * R^-1 * S^-2 * R^2 * S^-4 ] CH49.23 : Type {6,6,6} Order 192 Defining relations for automorphism group: [ R^6, S^6, R^-2 * S^-1 * R^2 * S^-1 * R * S, S * R * S^-1 * R^2 * S^2 * R ] CH49.24 : Type {6,6,6} Order 192 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^2 * R ] CH49.25 : Type {6,6,6} Order 192 Defining relations for automorphism group: [ R^6, (R^-1 * S^-2)^2, S^6, R * S^-2 * R^2 * S^-1 * R^-1 * S ] CH49.26 : Type {6,6,6} Order 192 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S * R * S^-1 * R^2 * S^2 * R, (R * S^-2 * R)^2 ] CH49.27 : Type {8,16,16} Order 128 Defining relations for automorphism group: [ R^8, R * S^-1 * R^3 * S^-3, R * S * R^3 * S^3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH49.28 : Type {8,24,30} Order 120 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-2, R^8, S^-2 * R^3 * S^-1 * R^-2 ] CH49.29 : Type {9,14,18} Order 126 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S^-2, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S * R^-1 * S, R^-9 ] CH49.30 : Type {12,12,30} Order 120 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^12 ] CH49.31 : Type {18,36,36} Order 108 Defining relations for automorphism group: [ R^5 * S * R * S^-1, S * R^4 * S^-1 * R^2, S^-2 * R^-3 * S^-4 ] CH50.1 : Type {3,3,4} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 ] CH50.2 : Type {3,3,4} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 ] CH50.3 : Type {3,3,52} Order 312 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH50.4 : Type {3,4,4} Order 588 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S^-1 ] CH50.5 : Type {3,4,4} Order 588 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S^-2 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R * S^2 * R^-1 ] CH50.6 : Type {3,6,6} Order 294 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^-2 * R^-1 * S^-2 ] CH50.7 : Type {3,6,6} Order 294 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S ] CH50.8 : Type {3,6,6} Order 294 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH50.9 : Type {3,6,6} Order 294 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S ] CH50.10 : Type {3,24,24} Order 168 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-3 ] CH50.11 : Type {3,24,24} Order 168 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, S^-3 * R * S^-1 * R * S^-4 ] CH50.12 : Type {4,4,4} Order 392 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-1, R^-1 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1 * S ] CH50.13 : Type {4,4,4} Order 392 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R * S^-2 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R * S, S^-1 * R * S * R * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH50.14 : Type {4,4,51} Order 204 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH50.15 : Type {4,12,12} Order 168 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH50.16 : Type {6,6,12} Order 168 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S * R * S, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S ] CH50.17 : Type {6,6,12} Order 168 Defining relations for automorphism group: [ R^6, (R * S * R)^2, S^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH50.18 : Type {6,6,12} Order 168 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH50.19 : Type {6,6,26} Order 156 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, R * S^2 * R^2 * S * R * S ] CH50.20 : Type {6,6,26} Order 156 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH50.21 : Type {8,8,34} Order 136 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH50.22 : Type {9,18,18} Order 126 Defining relations for automorphism group: [ S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1, S * R * S^-1 * R^-1 * S^-2 * R^-1, R^-9 ] CH50.23 : Type {9,18,18} Order 126 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R^-9 ] CH50.24 : Type {9,18,18} Order 126 Defining relations for automorphism group: [ (R * S * R)^2, R^-4 * S * R^-1 * S, S^-2 * R^-3 * S^-4, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH50.25 : Type {9,18,18} Order 126 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, S^2 * R * S^-1 * R * S^3, R^-9, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH50.26 : Type {10,24,24} Order 120 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, S * R^3 * S^-1 * R^-1, S^-5 * R * S^-1 * R^-2 * S^-6 ] CH51.1 : Type {3,3,6} Order 600 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S ] CH51.2 : Type {3,3,6} Order 600 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH51.3 : Type {3,3,28} Order 336 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH51.4 : Type {3,3,103} Order 309 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH51.5 : Type {3,4,12} Order 300 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, R * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] CH51.6 : Type {4,4,4} Order 400 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-2 * S^-1 * R^-2 * S * R^2 * S * R^2 * S^-1 * R^-1 ] CH51.7 : Type {4,4,4} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1 * S * R^-1 * S^-1)^2, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R ] CH51.8 : Type {4,4,4} Order 400 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S ] CH51.9 : Type {4,4,4} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R * S^-1 ] CH51.10 : Type {4,4,4} Order 400 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH51.11 : Type {4,4,6} Order 300 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 ] CH51.12 : Type {4,4,6} Order 300 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, S * R * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R ] CH51.13 : Type {4,4,6} Order 300 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^-1 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] CH51.14 : Type {4,4,12} Order 240 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH51.15 : Type {4,4,12} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] CH51.16 : Type {4,4,12} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH51.17 : Type {4,4,12} Order 240 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH51.18 : Type {4,4,22} Order 220 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH51.19 : Type {4,4,52} Order 208 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-2 * R * S * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH51.20 : Type {4,4,52} Order 208 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH51.21 : Type {4,8,8} Order 200 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S^-3 * R^-2 * S^-2 * R * S^-1 ] CH51.22 : Type {4,8,8} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH51.23 : Type {4,8,8} Order 200 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R^-1 * S^-2 * R^-2 * S^4 ] CH51.24 : Type {4,8,8} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH51.25 : Type {4,12,39} Order 156 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R * S ] CH51.26 : Type {4,16,16} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] CH51.27 : Type {4,16,16} Order 160 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH51.28 : Type {6,6,14} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH51.29 : Type {6,6,14} Order 168 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R * S^2 * R * S * R^2 * S * R * S * R * S ] CH51.30 : Type {8,8,8} Order 160 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^4 * S^-3, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH51.31 : Type {8,8,8} Order 160 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^4 * S^-3, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH51.32 : Type {12,24,24} Order 120 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-3 * S^2 * R^-1 * S ] CH51.33 : Type {12,24,24} Order 120 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S * R^-1 * S^-1 * R^-1 * S^-2 * R, R^12 ] CH52.1 : Type {3,9,63} Order 189 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1 ] CH52.2 : Type {3,9,63} Order 189 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH52.3 : Type {3,9,63} Order 189 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R^-1 ] CH52.4 : Type {3,24,56} Order 168 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S * R^-1, S^-2 * R * S^-2 * R^-1 * S^-1 * R * S^-3 ] CH52.5 : Type {3,54,54} Order 162 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^9 * R * S * R^-1 * S^8 ] CH52.6 : Type {4,4,53} Order 212 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-2 ] CH52.7 : Type {4,6,9} Order 216 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH52.8 : Type {4,6,12} Order 204 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R^-1 ] CH52.9 : Type {5,28,28} Order 140 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^28 ] CH52.10 : Type {6,6,27} Order 162 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R ] CH52.11 : Type {6,6,27} Order 162 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R * S * R ] CH52.12 : Type {6,16,16} Order 144 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, S^-1 * R * S^-1 * R^2 * S^2 * R, S^-3 * R^-3 * S^-5 ] CH52.13 : Type {9,18,42} Order 126 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R * S^-1 * R^2 * S * R * S^-1 ] CH52.14 : Type {9,18,42} Order 126 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S^2 * R, S^-1 * R * S^-1 * R^-1 * S * R * S^-1, R^-9 ] CH52.15 : Type {15,24,24} Order 120 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, S^-1 * R^-4 * S^2 * R * S^-1, S^-2 * R * S^-2 * R * S^-4 ] CH53.1 : Type {3,6,6} Order 312 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S ] CH53.2 : Type {3,6,6} Order 312 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^3 * R * S ] CH53.3 : Type {3,15,15} Order 195 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-2 * R^-1 * S^-1 * R * S^-1 * R ] CH53.4 : Type {4,4,4} Order 416 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^2 * R^-1 * S^2 * R * S ] CH53.5 : Type {4,4,4} Order 416 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] CH53.6 : Type {4,4,6} Order 312 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH53.7 : Type {4,4,10} Order 260 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R ] CH53.8 : Type {4,4,15} Order 240 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S * R * S^-1 * R^2 * S^2 * R^-1 * S ] CH53.9 : Type {4,4,15} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R * S^-1 * R * S^-1 * R^2 * S^2 * R * S ] CH53.10 : Type {4,8,8} Order 208 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH53.11 : Type {4,8,8} Order 208 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R * S^-1 ] CH53.12 : Type {6,12,12} Order 156 Defining relations for automorphism group: [ R^6, S^-2 * R^-2 * S * R * S^-1, (R * S^-2 * R)^2 ] CH53.13 : Type {6,12,12} Order 156 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, R^6, S^2 * R * S^-1 * R * S^3, R^-1 * S^-3 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 ] CH53.14 : Type {6,12,12} Order 156 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-3 * S^-4, S * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R ] CH53.15 : Type {6,12,12} Order 156 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S ] CH53.16 : Type {6,12,12} Order 156 Defining relations for automorphism group: [ R^6, S * R * S^-1 * R^-1 * S * R * S, R * S^-1 * R^3 * S^-3 ] CH53.17 : Type {8,8,10} Order 160 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH53.18 : Type {8,8,10} Order 160 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH53.19 : Type {8,32,32} Order 128 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-2 * R^3 * S^2 * R, (S, R^-1, S), S^-3 * R * S^-1 * R^-1 * S^-4 ] CH53.20 : Type {16,16,16} Order 128 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, R^5 * S^-1 * R * S, S^-2 * R^-1 * S^-2 * R * S^-4 ] CH53.21 : Type {16,16,16} Order 128 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^-1 * S^-1 * R^3 * S^-3 ] CH54.1 : Type {3,3,109} Order 327 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S * R * S ] CH54.2 : Type {4,4,55} Order 220 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R * S * R * S * R * S ] CH54.3 : Type {6,6,28} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, R * S^-1 * R^-2 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH54.4 : Type {6,6,28} Order 168 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S * R * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S ] CH54.5 : Type {6,6,28} Order 168 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH54.6 : Type {18,18,21} Order 126 Defining relations for automorphism group: [ S * R^3 * S^2, S^-1 * R * S^-1 * R^2 * S * R * S^-1 ] CH54.7 : Type {18,18,21} Order 126 Defining relations for automorphism group: [ S^2 * R^2 * S * R, (R * S^-2)^2 ] CH54.8 : Type {24,24,30} Order 120 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, R * S^-1 * R^3 * S^2 * R ] CH55.1 : Type {3,3,6} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH55.2 : Type {3,3,39} Order 351 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH55.3 : Type {3,3,111} Order 333 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH55.4 : Type {3,4,4} Order 648 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, (R * S^-1)^6 ] CH55.5 : Type {3,4,6} Order 432 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, (R^-1 * S^-1)^6, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH55.6 : Type {3,4,6} Order 432 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R * S^-1 ] CH55.7 : Type {3,6,26} Order 234 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH55.8 : Type {3,6,74} Order 222 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R * S * R * S^-2 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH55.9 : Type {3,8,24} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^8, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH55.10 : Type {3,9,9} Order 243 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, R^-1 * S^-3 * R * S^3, (S^-1 * R^-1 * S^-1)^3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH55.11 : Type {3,9,9} Order 243 Defining relations for automorphism group: [ R^-3, S^2 * R * S^-1 * R * S^2 * R, R^-1 * S * R^-1 * S * R^-1 * S^4, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH55.12 : Type {3,9,9} Order 243 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-2 ] CH55.13 : Type {3,9,9} Order 243 Defining relations for automorphism group: [ R^-3, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-4, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 ] CH55.14 : Type {3,9,9} Order 243 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] CH55.15 : Type {3,9,18} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R * S^3, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R ] CH55.16 : Type {4,4,4} Order 432 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S ] CH55.17 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 ] CH55.18 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R ] CH55.19 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH55.20 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH55.21 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, S^-1 * R^-2 * S * R^-2 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 ] CH55.22 : Type {4,4,8} Order 288 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, S^-1 * R^-2 * S * R^-2 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 ] CH55.23 : Type {4,8,8} Order 216 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^-1 * S * R^-1 * S, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1 ] CH55.24 : Type {4,8,8} Order 216 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^-1 * S^-2 * R, S^-1 * R * S^-1 * R^2 * S^-2 * R^-1 ] CH55.25 : Type {4,12,15} Order 180 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R * S * R * S^-1 ] CH55.26 : Type {6,6,6} Order 216 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S * R * S^-1 * R^2 * S^2 * R, R * S * R^-3 * S^-2 * R * S^-1, (R^-2 * S)^3 ] CH55.27 : Type {6,7,21} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-7, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH55.28 : Type {6,9,18} Order 162 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, (R^-1 * S^-3)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH55.29 : Type {6,9,18} Order 162 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, (R * S^-3)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH55.30 : Type {6,9,18} Order 162 Defining relations for automorphism group: [ R^6, R * S^-1 * R^-2 * S^-2 * R, (S, R^-1, S), R^-1 * S^-3 * R * S^3 ] CH55.31 : Type {8,16,16} Order 144 Defining relations for automorphism group: [ R^-1 * S * R^-2 * S^-3, R^8, S^-2 * R^3 * S^-2 * R^-1 ] CH55.32 : Type {8,16,16} Order 144 Defining relations for automorphism group: [ S^2 * R^-2 * S^-1 * R^-1 * S, R^8, S^2 * R^3 * S^2 * R^-1 ] CH55.33 : Type {8,16,16} Order 144 Defining relations for automorphism group: [ R * S * R^-2 * S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^8 ] CH55.34 : Type {9,15,45} Order 135 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^-15 ] CH56.1 : Type {4,5,20} Order 220 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-5, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S ] CH56.2 : Type {4,5,20} Order 220 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-5, R^-1 * S^2 * R^-1 * S^-1 * R * S * R * S^-2 ] CH56.3 : Type {5,5,5} Order 275 Defining relations for automorphism group: [ R^-5, S^-5, R^-1 * S^-2 * R^-2 * S * R^-1 * S * R^-1, R * S^-2 * R^-2 * S^-1 * R * S^-2 ] CH56.4 : Type {5,5,5} Order 275 Defining relations for automorphism group: [ R^-5, S^-5, R^-2 * S^-1 * R^-2 * S^-1 * R^-1 * S^2 ] CH56.5 : Type {5,8,8} Order 200 Defining relations for automorphism group: [ R^-5, S^-2 * R^-2 * S^2 * R, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^8 ] CH56.6 : Type {5,8,8} Order 200 Defining relations for automorphism group: [ R^-5, S^-1 * R * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R * S, S^8 ] CH56.7 : Type {5,15,15} Order 165 Defining relations for automorphism group: [ R^-5, R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 ] CH56.8 : Type {5,15,15} Order 165 Defining relations for automorphism group: [ R^-5, S^2 * R^2 * S * R^-1 ] CH56.9 : Type {5,15,15} Order 165 Defining relations for automorphism group: [ R^-5, S^-2 * R^2 * S^-1 * R^-1 ] CH56.10 : Type {5,15,15} Order 165 Defining relations for automorphism group: [ R^-5, S^-1 * R * S^-1 * R^2 * S^-1 * R^-2 ] CH56.11 : Type {25,25,25} Order 125 Defining relations for automorphism group: [ S^-1 * R^-3 * S * R^-2, S^-3 * R^-1 * S^-2 * R ] CH56.12 : Type {25,25,25} Order 125 Defining relations for automorphism group: [ R^-4 * S^-1 * R^-1 * S, S^-3 * R^-1 * S^-2 * R ] CH57.1 : Type {3,3,6} Order 672 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R^-1 * S)^3, (R * S * R^-1 * S * R^-1 * S^-1)^2 ] CH57.2 : Type {3,3,6} Order 672 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S ] CH57.3 : Type {3,4,8} Order 384 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1)^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S^-1 ] CH57.4 : Type {3,4,8} Order 384 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-1 ] CH57.5 : Type {3,4,8} Order 384 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^-1 ] CH57.6 : Type {3,4,8} Order 384 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^-1 ] CH57.7 : Type {3,4,12} Order 336 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH57.8 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ R^-3, S^6, S * R * S^-1 * R^-1 * S^-1 * R * S^-2 * R * S, S^-3 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 ] CH57.9 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 ] CH57.10 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-3 * R * S^3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 ] CH57.11 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-3 * R * S^3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH57.12 : Type {3,6,6} Order 336 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R * S^2 * R * S ] CH57.13 : Type {3,10,30} Order 210 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^10, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH57.14 : Type {4,4,16} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH57.15 : Type {4,4,16} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-2 * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^2 * R * S^2 * R ] CH57.16 : Type {4,4,16} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 ] CH57.17 : Type {4,4,16} Order 256 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^2, R^-1 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S ] CH57.18 : Type {4,4,30} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 ] CH57.19 : Type {4,4,58} Order 232 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 ] CH57.20 : Type {4,12,12} Order 192 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^-1 * S^2 * R, S * R^-1 * S^-1 * R^-2 * S^-1 * R * S * R, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 ] CH57.21 : Type {4,12,12} Order 192 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S * R * S^-1 * R^-2 * S^-1 * R^-1 * S * R^-1, R * S^-1 * R * S^-1 * R^-1 * S^-4 ] CH57.22 : Type {4,12,12} Order 192 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^12 ] CH57.23 : Type {4,12,12} Order 192 Defining relations for automorphism group: [ R^4, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2, R * S^-1 * R * S^-1 * R^-1 * S^-4 ] CH57.24 : Type {6,8,8} Order 192 Defining relations for automorphism group: [ R^6, R * S^-1 * R^-2 * S^3, S * R * S * R^2 * S^-2 * R^-1 ] CH57.25 : Type {6,8,24} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, S^-1 * R^-3 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH57.26 : Type {6,12,12} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R * S^-2 * R^2 * S^-1 * R * S^-1 ] CH57.27 : Type {6,12,12} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^2 * R^-1 * S^-1 * R^2 * S^3 * R ] CH57.28 : Type {6,12,12} Order 168 Defining relations for automorphism group: [ R^6, (R^-1 * S^-2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^2 * R * S^-1 * R * S^3, R^-2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ] CH57.29 : Type {7,21,21} Order 147 Defining relations for automorphism group: [ (S^-1 * R)^3, R^-7, S^-1 * R^-3 * S^-2 * R^-1 ] CH57.30 : Type {7,21,21} Order 147 Defining relations for automorphism group: [ R^-7, R * S * R^-2 * S * R^-1 * S, S^2 * R^3 * S * R^2 ] CH57.31 : Type {7,21,21} Order 147 Defining relations for automorphism group: [ R^-1 * S * R^2 * S^2, R^-7, S^3 * R^2 * S^-1 * R^-1 * S ] CH57.32 : Type {7,21,21} Order 147 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R, S^-1 * R^3 * S * R, S^-21 ] CH57.33 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 ] CH57.34 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH57.35 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S * R * S, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH57.36 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S ] CH57.37 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH57.38 : Type {8,8,20} Order 160 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH57.39 : Type {16,32,32} Order 128 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, R^5 * S^-1 * R^-1 * S, S^-3 * R^-1 * S^-1 * R * S^-4 ] CH57.40 : Type {16,32,32} Order 128 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, R^5 * S^-1 * R^-1 * S, S^-3 * R * S^-1 * R^-1 * S^-4 ] CH58.1 : Type {3,3,6} Order 684 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] CH58.2 : Type {3,6,6} Order 342 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH58.3 : Type {3,6,6} Order 342 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^2 * R * S^-2 ] CH58.4 : Type {3,6,6} Order 342 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S, (S^-1 * R^-1 * S^-1)^3, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] CH58.5 : Type {3,6,6} Order 342 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (S * R^-1 * S)^3, R * S^-2 * R^-1 * S^-3 * R * S * R * S^2 * R * S^2 ] CH58.6 : Type {3,6,6} Order 342 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH58.7 : Type {3,6,21} Order 252 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^-1 ] CH58.8 : Type {3,6,78} Order 234 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-2 * R * S * R * S * R * S * R ] CH58.9 : Type {3,9,36} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R * S^3, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH58.10 : Type {3,12,12} Order 228 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH58.11 : Type {3,12,12} Order 228 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R ] CH58.12 : Type {3,15,65} Order 195 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 ] CH58.13 : Type {4,6,12} Order 228 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R * S ] CH58.14 : Type {4,6,18} Order 216 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH58.15 : Type {6,6,6} Order 228 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] CH58.16 : Type {6,6,6} Order 228 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, (R * S * R)^2, S^6, R * S * R^-1 * S^-2 * R^-1 * S^-2 * R * S * R * S^2 * R * S^-2 ] CH58.17 : Type {6,12,14} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^2 * R, S * R * S^-1 * R^2 * S^-2 * R ] CH58.18 : Type {6,12,14} Order 168 Defining relations for automorphism group: [ R^6, (R * S^-2)^2, R^-1 * S^-1 * R^3 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH58.19 : Type {6,12,52} Order 156 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-3 * S^-4, S^-1 * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 * R^-1 ] CH58.20 : Type {9,9,9} Order 171 Defining relations for automorphism group: [ (S^-1 * R)^3, R * S * R^-2 * S^-1 * R^-1 * S^-1 ] CH58.21 : Type {9,9,9} Order 171 Defining relations for automorphism group: [ (S^-1 * R)^3, S^-3 * R^2 * S * R * S^-1, R^-9, S^-1 * R^-4 * S * R^2 * S^-1 ] CH58.22 : Type {9,9,9} Order 171 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, R^-1 * S * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S ] CH58.23 : Type {9,9,9} Order 171 Defining relations for automorphism group: [ (S^-1 * R)^3, S^2 * R^-2 * S * R * S, S * R * S * R^2 * S^-1 * R * S ] CH58.24 : Type {9,45,45} Order 135 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^-8 * R * S^-1 * R^-1 * S^-6 ] CH59.1 : Type {4,4,4} Order 464 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R * S^-1 ] CH59.2 : Type {4,4,4} Order 464 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^-1 ] CH59.3 : Type {4,4,6} Order 348 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S ] CH59.4 : Type {4,4,60} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R * S^-1 ] CH59.5 : Type {4,4,60} Order 240 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S^-1 * R^-1 ] CH59.6 : Type {4,8,8} Order 232 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-1 ] CH59.7 : Type {4,8,8} Order 232 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R * S * R * S^-1 ] CH59.8 : Type {4,8,48} Order 192 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S ] CH59.9 : Type {5,15,33} Order 165 Defining relations for automorphism group: [ R^-5, R^-1 * S * R^-2 * S * R * S ] CH59.10 : Type {5,15,33} Order 165 Defining relations for automorphism group: [ R^-5, S^2 * R^2 * S * R ] CH59.11 : Type {7,7,7} Order 203 Defining relations for automorphism group: [ R^-7, R^-1 * S^-1 * R^-2 * S * R * S^-1, R * S^-1 * R^-2 * S^-3 ] CH59.12 : Type {7,7,7} Order 203 Defining relations for automorphism group: [ R^-7, R * S^-1 * R^3 * S * R * S^-1, S^-7, R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 ] CH59.13 : Type {7,7,7} Order 203 Defining relations for automorphism group: [ R^-7, R * S * R^3 * S^-2 * R, S * R * S * R^2 * S^-1 * R * S ] CH59.14 : Type {7,7,7} Order 203 Defining relations for automorphism group: [ R^-7, R * S^-1 * R^-2 * S * R^-1 * S, S^2 * R^-2 * S * R * S ] CH59.15 : Type {8,8,40} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH59.16 : Type {8,8,40} Order 160 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S * R^2 * S^-1 * R^-1 * S, (R * S^-1 * R^-1 * S^-1)^2 ] CH60.1 : Type {3,3,62} Order 372 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S * R * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S * R * S ] CH60.2 : Type {4,4,61} Order 244 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH60.3 : Type {5,5,41} Order 205 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^-1 * S^-1 * R^-2 * S * R * S * R^-1 ] CH60.4 : Type {5,5,41} Order 205 Defining relations for automorphism group: [ R^-5, S^-5, S * R^-1 * S^-1 * R^2 * S^2 * R, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH60.5 : Type {5,32,32} Order 160 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R, S^32 ] CH60.6 : Type {6,6,31} Order 186 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R * S * R * S * R^2 * S^2 * R * S * R ] CH60.7 : Type {6,6,31} Order 186 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH60.8 : Type {12,12,13} Order 156 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^-1 * S * R^3 * S^-1 * R^-1 * S, R^12 ] CH60.9 : Type {12,12,13} Order 156 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R * S * R^-1 * S^-1 * R^2 * S^2 * R * S, R^12 ] CH60.10 : Type {12,12,13} Order 156 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S * R^-1, S * R^4 * S^2 * R^-1, R^12 ] CH60.11 : Type {12,12,13} Order 156 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R^4 * S * R^-2, R * S^2 * R^2 * S * R * S, R^12 ] CH60.12 : Type {12,12,13} Order 156 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^12 ] CH61.1 : Type {3,4,4} Order 720 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^2 ] CH61.2 : Type {3,6,12} Order 288 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH61.3 : Type {3,18,18} Order 216 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH61.4 : Type {3,18,18} Order 216 Defining relations for automorphism group: [ R^-3, (S, R^-1, S), S^-1 * R * S^-2 * R^-1 * S^-3 ] CH61.5 : Type {3,63,63} Order 189 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-11 * R * S^-1 * R^-1 * S^-9 ] CH61.6 : Type {4,4,6} Order 360 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * R ] CH61.7 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S * R, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^2 ] CH61.8 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-2 * S^2 * R * S^-1 * R^-1 ] CH61.9 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, R * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 ] CH61.10 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 ] CH61.11 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S ] CH61.12 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R ] CH61.13 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R ] CH61.14 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^2 * R * S^-1 ] CH61.15 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH61.16 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 ] CH61.17 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 ] CH61.18 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S ] CH61.19 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R ] CH61.20 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R ] CH61.21 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R ] CH61.22 : Type {4,4,8} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R ] CH61.23 : Type {4,4,14} Order 280 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R * S * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH61.24 : Type {4,4,26} Order 260 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH61.25 : Type {4,6,6} Order 288 Defining relations for automorphism group: [ R^4, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-2 ] CH61.26 : Type {4,6,12} Order 240 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 ] CH61.27 : Type {4,6,12} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^-2 * S^-1 * R^-1 * S * R * S * R^-1 * S * R ] CH61.28 : Type {4,6,36} Order 216 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH61.29 : Type {4,9,12} Order 216 Defining relations for automorphism group: [ R^4, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH61.30 : Type {4,10,20} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S^-2 * R * S^3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 ] CH61.31 : Type {4,10,20} Order 200 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^2 * R, S * R * S * R^2 * S^-2 * R, S^10 ] CH61.32 : Type {4,10,20} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, S^10 ] CH61.33 : Type {4,18,36} Order 180 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1, S^3 * R^-2 * S * R^-1 * S * R * S^4 ] CH61.34 : Type {6,6,9} Order 216 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-3 * R^3 * S^-1 * R * S^-1 * R ] CH61.35 : Type {6,12,12} Order 180 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH61.36 : Type {6,12,12} Order 180 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^-2 * R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH61.37 : Type {6,12,12} Order 180 Defining relations for automorphism group: [ R^6, S * R * S^-1 * R^-1 * S^-2 * R^-1, R^2 * S^-1 * R^2 * S^-3 ] CH61.38 : Type {6,12,28} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R ] CH61.39 : Type {6,12,28} Order 168 Defining relations for automorphism group: [ R^6, (R * S^-2)^2, R^-1 * S^-1 * R^3 * S^-3 ] CH61.40 : Type {8,16,16} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^8, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH61.41 : Type {8,16,16} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^8, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH61.42 : Type {8,16,16} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 ] CH61.43 : Type {8,16,16} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH61.44 : Type {14,28,28} Order 140 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^4 * R^2 * S^4 ] CH61.45 : Type {14,28,28} Order 140 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, S^-4 * R^2 * S^-4 ] CH61.46 : Type {14,28,28} Order 140 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R * S * R^12 * S^-1 * R ] CH61.47 : Type {15,45,45} Order 135 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S^-1 * R^-1 * S^-2, S * R^-1 * S * R^-2 * S^4 ] CH61.48 : Type {15,45,45} Order 135 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-2 * S^-4 ] CH62.1 : Type {3,6,6} Order 366 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] CH62.2 : Type {3,6,6} Order 366 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 ] CH62.3 : Type {5,5,5} Order 305 Defining relations for automorphism group: [ R^-5, S^-5, S * R^-1 * S^-1 * R^-2 * S^2 * R^-1 * S ] CH62.4 : Type {5,5,5} Order 305 Defining relations for automorphism group: [ R^-5, S^-5, R^-2 * S^-1 * R^-2 * S^-2 * R * S^-1 ] CH63.1 : Type {3,3,6} Order 744 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH63.2 : Type {3,3,127} Order 381 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH63.3 : Type {3,4,12} Order 372 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH63.4 : Type {4,16,24} Order 192 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R^-1 * S^-2 * R * S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH63.5 : Type {6,21,21} Order 168 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-3 * R^-2 * S^-4, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH63.6 : Type {9,9,19} Order 171 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-9, S^2 * R^-3 * S * R^-2 * S ] CH63.7 : Type {9,9,19} Order 171 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R ] CH63.8 : Type {9,9,19} Order 171 Defining relations for automorphism group: [ R * S * R^3 * S * R^-1 * S, S^2 * R^3 * S^-1 * R^-2, R^-9 ] CH63.9 : Type {9,9,19} Order 171 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^-9, S * R^-4 * S * R^-1 * S^2 ] CH63.10 : Type {10,16,16} Order 160 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, S * R^3 * S^-1 * R^-1, S^16 ] CH63.11 : Type {10,16,16} Order 160 Defining relations for automorphism group: [ R^-1 * S^-2 * R^-1 * S^2, S^-1 * R^4 * S * R^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S, S^-2 * R * S^-1 * R^3 * S^-5 ] CH63.12 : Type {12,12,26} Order 156 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH63.13 : Type {12,12,26} Order 156 Defining relations for automorphism group: [ (S^-1 * R)^3, S * R^4 * S * R^-2, R * S^-1 * R^3 * S^-1 * R * S, R * S^2 * R^2 * S * R * S ] CH64.1 : Type {3,3,6} Order 756 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 ] CH64.2 : Type {3,3,9} Order 567 Defining relations for automorphism group: [ R^-3, S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S, (R^-1 * S^-1 * R * S^-1)^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R ] CH64.3 : Type {3,3,9} Order 567 Defining relations for automorphism group: [ R^-3, S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S, (R^-1 * S^-1 * R * S^-1)^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R ] CH64.4 : Type {3,3,12} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH64.5 : Type {3,3,21} Order 441 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R * S^-1)^3, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R^-1 * S^-1 * R^-1 * S)^3 ] CH64.6 : Type {3,3,129} Order 387 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH64.7 : Type {3,4,6} Order 504 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S * R^-1 * S * R ] CH64.8 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R ] CH64.9 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (S * R^-1 * S)^3, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH64.10 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH64.11 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 ] CH64.12 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (S * R^-1 * S)^3, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^3 * R^-1 ] CH64.13 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH64.14 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^3 * R * S ] CH64.15 : Type {3,6,6} Order 378 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] CH64.16 : Type {3,6,14} Order 294 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1, S^-1 * R * S * R^-1 * S^-1 * R * S^3 * R ] CH64.17 : Type {3,6,14} Order 294 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S * R * S^-2 * R^-1 * S^2 * R^-1 * S, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 ] CH64.18 : Type {3,6,86} Order 258 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S * R * S * R * S^-1 * R^-1 * S^-2 * R * S * R * S * R * S * R ] CH64.19 : Type {3,12,12} Order 252 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R, S^12 ] CH64.20 : Type {3,12,12} Order 252 Defining relations for automorphism group: [ R^-3, R^-1 * S * R * S^-1 * R^-1 * S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH64.21 : Type {3,12,12} Order 252 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S, S^12 ] CH64.22 : Type {3,12,12} Order 252 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^2 * R * S * R * S^-3 * R * S^2 * R * S^2 * R ] CH64.23 : Type {3,12,12} Order 252 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, S^12 ] CH64.24 : Type {3,18,36} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R * S^3, R^-1 * S * R * S^-1 * R^-1 * S * R * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH64.25 : Type {3,24,24} Order 216 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R, R * S^-2 * R^-1 * S * R^-1 * S, S^24 ] CH64.26 : Type {3,24,24} Order 216 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, (R * S^-4)^2 ] CH64.27 : Type {3,30,30} Order 210 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-2 * R * S^-1 * R * S^-1 * R^-1 * S^-6 ] CH64.28 : Type {3,30,30} Order 210 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, (R^-1 * S^-5)^2 ] CH64.29 : Type {4,4,65} Order 260 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S * R * S ] CH64.30 : Type {4,4,65} Order 260 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R ] CH64.31 : Type {4,4,65} Order 260 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH64.32 : Type {4,4,65} Order 260 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH64.33 : Type {4,6,12} Order 252 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH64.34 : Type {4,12,12} Order 216 Defining relations for automorphism group: [ R^4, S * R^-1 * S * R^2 * S^-2 * R, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH64.35 : Type {4,12,12} Order 216 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 ] CH64.36 : Type {4,12,12} Order 216 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-2 * R^-1, R^-1 * S^-2 * R^2 * S^-1 * R * S^-1 ] CH64.37 : Type {4,12,12} Order 216 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R, S * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1, S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-2 ] CH64.38 : Type {4,12,12} Order 216 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R, R * S^-2 * R^2 * S^-1 * R * S ] CH64.39 : Type {4,36,45} Order 180 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S * R * S * R^2 * S^-2 * R, S^-2 * R * S^-2 * R^2 * S^-5 ] CH64.40 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] CH64.41 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S * R * S^-1 * R^2 * S * R * S ] CH64.42 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^-2, S^6, R^-1 * S^-1 * R^3 * S^-1 * R^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH64.43 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH64.44 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH64.45 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH64.46 : Type {6,6,6} Order 252 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, (R * S * R)^2, S^6, R^-2 * S^-3 * R^-1 * S^-2 * R * S * R * S^2 * R * S^2 ] CH64.47 : Type {6,6,15} Order 210 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S * R * S, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH64.48 : Type {6,6,15} Order 210 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] CH64.49 : Type {6,8,8} Order 216 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^8, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S ] CH64.50 : Type {6,8,8} Order 216 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^8, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S ] CH64.51 : Type {6,8,8} Order 216 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^8, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R * S ] CH64.52 : Type {6,24,24} Order 168 Defining relations for automorphism group: [ R^6, R * S^-2 * R^-1 * S^-1 * R * S^-1, R^-1 * S^-1 * R^3 * S * R^-2 ] CH64.53 : Type {6,24,24} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S * R * S^-1 * R^-2 * S^4, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R * S ] CH64.54 : Type {6,27,54} Order 162 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-3 * R * S^-1 * R^-1 * S^-5 ] CH64.55 : Type {8,12,24} Order 168 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH64.56 : Type {8,12,24} Order 168 Defining relations for automorphism group: [ S * R^-2 * S^2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH64.57 : Type {9,9,9} Order 189 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, R^-1 * S * R^-1 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S ] CH64.58 : Type {9,9,9} Order 189 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH64.59 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^18 ] CH64.60 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R, R^-4 * S * R^-1 * S^-1, S^18 ] CH64.61 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ S^-2 * R^-2 * S^2 * R^-1, R * S^-1 * R^3 * S * R^2, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, (R * S^-3)^2 ] CH64.62 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ S^-2 * R^-2 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-3 ] CH64.63 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^-1 * R^-1 * S^-1 * R^-2 * S^-4 ] CH64.64 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, R^-1 * S^2 * R^-2 * S^4 ] CH64.65 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ S^-2 * R^-2 * S * R * S^-1, S * R * S^-1 * R^-1 * S * R * S, R^-9 ] CH64.66 : Type {9,18,18} Order 162 Defining relations for automorphism group: [ (R * S^-1)^2, R^-9, S^-1 * R^-4 * S^-3 * R^-1 ] CH64.67 : Type {12,12,12} Order 168 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R^2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 ] CH64.68 : Type {12,12,12} Order 168 Defining relations for automorphism group: [ R^5 * S * R^-1 * S, S^-1 * R^4 * S^-1 * R^-2, S^2 * R * S^-1 * R * S^3, S^-2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH64.69 : Type {12,12,39} Order 156 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH64.70 : Type {21,21,21} Order 147 Defining relations for automorphism group: [ R^-1 * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R^-2 * S * R^-1 * S^-1, S^5 * R^-3 * S^4 ] CH64.71 : Type {21,21,21} Order 147 Defining relations for automorphism group: [ R * S^-2 * R^-1 * S^-1 * R * S^-1, R^-1 * S^-1 * R^3 * S * R^-2, S * R * S^-1 * R^2 * S * R^2 ] CH64.72 : Type {28,28,35} Order 140 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-2, S^-2 * R^3 * S^-1 * R^-2, R^9 * S^-1 * R * S^-1 ] CH64.73 : Type {28,28,35} Order 140 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R * S, S^2 * R^3 * S^-1 * R^2, R * S^-2 * R^2 * S^-3 ] CH64.74 : Type {28,28,35} Order 140 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^2 * S^2 * R^7 * S^3 ] CH64.75 : Type {45,45,45} Order 135 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-6 * S^-3, S * R^-1 * S * R^-2 * S^4 ] CH65.1 : Type {3,4,4} Order 768 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R ] CH65.2 : Type {3,4,4} Order 768 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, R^-1 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 ] CH65.3 : Type {3,4,4} Order 768 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 ] CH65.4 : Type {3,4,4} Order 768 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH65.5 : Type {3,4,12} Order 384 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] CH65.6 : Type {3,4,12} Order 384 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R * S^-1 ] CH65.7 : Type {3,6,6} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 ] CH65.8 : Type {3,6,6} Order 384 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R * S^-1 * R^-1 * S^-1 ] CH65.9 : Type {3,6,6} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH65.10 : Type {3,6,6} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-1)^4, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^-1 ] CH65.11 : Type {3,15,15} Order 240 Defining relations for automorphism group: [ R^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3, (R^-1, S^-1)^2 ] CH65.12 : Type {4,4,4} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S ] CH65.13 : Type {4,4,4} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH65.14 : Type {4,4,4} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH65.15 : Type {4,4,4} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S^-1 ] CH65.16 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R * S * R * S^-1 * R^2 * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 ] CH65.17 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, S * R^-1 * S^-2 * R^2 * S^-1 * R * S * R ] CH65.18 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S^2 * R * S, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 ] CH65.19 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R * S^-1 * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S ] CH65.20 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R * S ] CH65.21 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH65.22 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, R * S^-2 * R * S^-1 * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH65.23 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S ] CH65.24 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S * R * S ] CH65.25 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S ] CH65.26 : Type {4,4,6} Order 384 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH65.27 : Type {4,4,10} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH65.28 : Type {4,4,34} Order 272 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-2 * S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-2 ] CH65.29 : Type {4,7,28} Order 224 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-7, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 * S^-1 ] CH65.30 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R ] CH65.31 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R ] CH65.32 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1 ] CH65.33 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R ] CH65.34 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH65.35 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH65.36 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] CH65.37 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] CH65.38 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2 ] CH65.39 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^8, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH65.40 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R ] CH65.41 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH65.42 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^8, R^-1 * S^-4 * R * S^4 ] CH65.43 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^8, S^-3 * R^-1 * S^-1 * R^2 * S^-3 * R^-1 * S^-1 ] CH65.44 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 ] CH65.45 : Type {4,8,8} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^-2 * R^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] CH65.46 : Type {4,16,48} Order 192 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R * S, S^-2 * R^-1 * S^-2 * R * S^-4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH65.47 : Type {6,12,12} Order 192 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^-1 * S^-2 * R, R^-1 * S^-1 * R^3 * S * R^-2, (R * S^-1)^4, S * R * S^-2 * R^-1 * S * R * S^2 ] CH65.48 : Type {6,12,12} Order 192 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^-1 * S^-2 * R, R^-1 * S^-1 * R^3 * S * R^-2, (R * S^-1)^4, S^-1 * R * S^-2 * R^-1 * S * R * S^-2 ] CH65.49 : Type {7,21,21} Order 168 Defining relations for automorphism group: [ R^-7, S^-1 * R^-3 * S^-2 * R^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH65.50 : Type {7,21,21} Order 168 Defining relations for automorphism group: [ R^-7, R * S * R^-2 * S * R^-1 * S, R * S * R^3 * S^2 * R ] CH65.51 : Type {7,21,21} Order 168 Defining relations for automorphism group: [ S^2 * R^2 * S * R^-1, R^-7, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH65.52 : Type {11,15,15} Order 165 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^5 * S^-1 * R^-1 * S, S^-15 ] CH65.53 : Type {11,15,15} Order 165 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, R^-4 * S^-1 * R * S, S^-15 ] CH65.54 : Type {12,12,14} Order 168 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S * R * S, S * R * S^-1 * R^2 * S^2 * R^-1, R^12 ] CH65.55 : Type {12,12,14} Order 168 Defining relations for automorphism group: [ S * R^4 * S * R^-2, R^-1 * S^-1 * R^3 * S^3, R^12 ] CH66.1 : Type {3,3,133} Order 399 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH66.2 : Type {3,3,133} Order 399 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH66.3 : Type {3,12,76} Order 228 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 ] CH66.4 : Type {3,30,70} Order 210 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S * R^-1, S^-2 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-6 ] CH66.5 : Type {4,4,15} Order 300 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S * R * S^-1 * R ] CH66.6 : Type {4,6,6} Order 312 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R^-1 * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S ] CH66.7 : Type {5,8,40} Order 200 Defining relations for automorphism group: [ R^-5, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, S^8 ] CH66.8 : Type {6,24,56} Order 168 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R, R^-1 * S^-1 * R^3 * S * R^-2 ] CH66.9 : Type {7,24,24} Order 168 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^24 ] CH66.10 : Type {7,24,24} Order 168 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, S^-1 * R^3 * S * R^-1, S^24 ] CH66.11 : Type {8,8,10} Order 200 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH66.12 : Type {9,9,57} Order 171 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, R^-1 * S^-1 * R^-1 * S * R^-2 * S * R * S^-1 * R^-1 * S^-1 ] CH67.1 : Type {4,4,68} Order 272 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-2 * S^-2 * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH67.2 : Type {4,4,68} Order 272 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH67.3 : Type {4,6,8} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^6, R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R * S, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R * S^-1 ] CH67.4 : Type {4,6,8} Order 288 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH67.5 : Type {4,6,8} Order 288 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^-2 * R^-1, S * R^-1 * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 ] CH67.6 : Type {4,10,20} Order 220 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-2 * S^-3, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S ] CH67.7 : Type {4,10,20} Order 220 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-2 * S^-3, R^-1 * S^2 * R^-1 * S^-1 * R * S * R * S^-2 ] CH67.8 : Type {4,12,18} Order 216 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH67.9 : Type {4,12,51} Order 204 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-2 ] CH67.10 : Type {4,24,48} Order 192 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH67.11 : Type {6,6,18} Order 216 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-3 * R^3 * S^-1 * R^-1 * S^-1 * R^-1 ] CH67.12 : Type {6,9,9} Order 216 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R ] CH67.13 : Type {15,15,15} Order 165 Defining relations for automorphism group: [ R * S * R^-2 * S^-1 * R^-1 * S^-1, S^2 * R^3 * S^-1 * R * S, S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S ] CH67.14 : Type {15,15,15} Order 165 Defining relations for automorphism group: [ S^-1 * R^-3 * S * R * S^-1, R^-1 * S * R^-2 * S^-1 * R * S^-1, S^3 * R^-2 * S^2 * R^-1 * S ] CH67.15 : Type {16,16,20} Order 160 Defining relations for automorphism group: [ R^5 * S^-1 * R * S^-1, S * R^4 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^2 * R ] CH67.16 : Type {16,16,20} Order 160 Defining relations for automorphism group: [ R^5 * S^-1 * R * S^-1, S * R^4 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^-1 * R^-1 * S ] CH68.1 : Type {3,6,6} Order 402 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^3 * R * S ] CH68.2 : Type {3,6,6} Order 402 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] CH68.3 : Type {5,36,36} Order 180 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^36 ] CH68.4 : Type {6,6,35} Order 210 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R^2 * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH68.5 : Type {6,6,35} Order 210 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R ] CH68.6 : Type {10,32,32} Order 160 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, S * R^3 * S^-1 * R^-1, S^8 * R * S * R^-1 * S^3 * R * S^4 ] CH68.7 : Type {12,12,28} Order 168 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R^2, S * R * S^-1 * R^2 * S^-2 * R, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1 ] CH68.8 : Type {12,12,28} Order 168 Defining relations for automorphism group: [ S * R^4 * S * R^-2, R^-1 * S^-1 * R^3 * S^-3 ] CH69.1 : Type {3,3,139} Order 417 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH69.2 : Type {4,4,4} Order 544 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 ] CH69.3 : Type {4,4,4} Order 544 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R * S^-1 ] CH69.4 : Type {4,4,6} Order 408 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^2 * S^-1 ] CH69.5 : Type {4,4,10} Order 340 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] CH69.6 : Type {4,4,70} Order 280 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S * R * S^-1 * R^-1 ] CH69.7 : Type {4,5,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^-5, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S ] CH69.8 : Type {4,5,8} Order 320 Defining relations for automorphism group: [ R^4, S^-5, (R * S^-1)^4, S * R^-1 * S^-1 * R^-2 * S^-2 * R^-1 * S, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH69.9 : Type {4,5,8} Order 320 Defining relations for automorphism group: [ R^4, S^-5, (R^-1 * S * R^-1 * S^-1)^2, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1, (R * S^-2 * R^-1 * S^-1)^2 ] CH69.10 : Type {4,5,8} Order 320 Defining relations for automorphism group: [ R^4, S^-5, S^-1 * R * S * R^2 * S^-2 * R, (R * S^-2 * R^-1 * S^-1)^2 ] CH69.11 : Type {4,8,8} Order 272 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S ] CH69.12 : Type {4,8,8} Order 272 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S^2 * R^-1 * S^-1 * R^2 * S^2 * R * S ] CH69.13 : Type {4,8,8} Order 272 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^2 * R^-1 * S^-1 ] CH69.14 : Type {4,8,8} Order 272 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R^-1 * S * R * S^-1 * R^2 * S^4 ] CH69.15 : Type {4,8,8} Order 272 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R * S * R^-1 * S^-1 * R^2 * S^4 ] CH69.16 : Type {4,10,12} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S^-2 * R * S^3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R ] CH69.17 : Type {4,48,48} Order 192 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^5 * R * S * R^-1 * S^6 ] CH69.18 : Type {6,12,12} Order 204 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R * S^-1 ] CH69.19 : Type {16,16,40} Order 160 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, (R * S * R^2)^2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH69.20 : Type {16,16,40} Order 160 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^2 * S^4 * R^10 ] CH69.21 : Type {16,16,40} Order 160 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, R * S^2 * R^2 * S * R * S ] CH69.22 : Type {16,16,40} Order 160 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, (R * S * R^2)^2, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 ] CH70.1 : Type {3,12,28} Order 252 Defining relations for automorphism group: [ R^-3, S^2 * R * S^-1 * R^-1 * S * R * S^2, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 ] CH70.2 : Type {3,72,72} Order 216 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^12 * R * S * R^-1 * S^11 ] CH70.3 : Type {4,12,36} Order 216 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH70.4 : Type {6,6,36} Order 216 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, R^-1 * S * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S * R * S ] CH70.5 : Type {6,6,36} Order 216 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, R * S * R * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH70.6 : Type {6,9,12} Order 216 Defining relations for automorphism group: [ R^6, S^-2 * R^-2 * S^-1 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH70.7 : Type {6,9,12} Order 216 Defining relations for automorphism group: [ R^6, R * S^-1 * R^-2 * S^-2 * R, (R * S^-1)^4, R^-1 * S^-3 * R * S^-3 ] CH70.8 : Type {7,7,29} Order 203 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH70.9 : Type {7,7,29} Order 203 Defining relations for automorphism group: [ R^-7, R * S * R^3 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-7 ] CH70.10 : Type {7,7,29} Order 203 Defining relations for automorphism group: [ R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R * S, S^-7 ] CH70.11 : Type {9,9,21} Order 189 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, R * S * R^-1 * S^-1 * R^-2 * S * R * S * R * S ] CH70.12 : Type {9,9,21} Order 189 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH70.13 : Type {9,54,54} Order 162 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^9 * R * S^2 * R^-1 * S^7 ] CH70.14 : Type {12,12,15} Order 180 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, R * S * R^3 * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 ] CH70.15 : Type {12,12,15} Order 180 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S * R, S * R^4 * S^3, R^12 ] CH70.16 : Type {12,12,15} Order 180 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, R^12 ] CH70.17 : Type {15,15,33} Order 165 Defining relations for automorphism group: [ R * S * R^2 * S^2, R^-1 * S^-1 * R^-2 * S * R^-1 * S ] CH70.18 : Type {15,15,33} Order 165 Defining relations for automorphism group: [ S * R^-3 * S^-1 * R^-1 * S, R * S * R^-2 * S^3 ] CH71.1 : Type {3,33,33} Order 231 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R, S^-2 * R^-1 * S^-2 * R * S^-1 * R^-1 * S^-6 ] CH71.2 : Type {4,4,16} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S ] CH71.3 : Type {4,4,16} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S ] CH71.4 : Type {4,4,16} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R ] CH71.5 : Type {4,4,16} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R^-1 * S * R^-1 * S ] CH71.6 : Type {4,4,30} Order 300 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R * S^-1 * R * S * R * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH71.7 : Type {4,6,6} Order 336 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S^-1 * R * S ] CH71.8 : Type {4,8,24} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH71.9 : Type {4,8,24} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH71.10 : Type {4,12,12} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^12 ] CH71.11 : Type {4,12,12} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, S^12 ] CH71.12 : Type {4,12,12} Order 240 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S, S^-1 * R * S^-2 * R^2 * S^-2 * R^-1 * S^-1 ] CH71.13 : Type {4,12,12} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, S^12 ] CH71.14 : Type {4,40,40} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-6 ] CH71.15 : Type {4,40,40} Order 200 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2, R * S^-3 * R^-1 * S^-1 * R^-1 * S^-6 ] CH71.16 : Type {6,8,8} Order 240 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH71.17 : Type {6,8,8} Order 240 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH71.18 : Type {6,10,15} Order 210 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3, R * S^-1 * R * S^-1 * R * S^-3, R * S^-1 * R^-1 * S^-1 * R^2 * S * R^-2 * S ] CH71.19 : Type {6,36,36} Order 180 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH71.20 : Type {8,8,20} Order 200 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH71.21 : Type {8,8,20} Order 200 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R ] CH71.22 : Type {8,12,16} Order 192 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-2 * R^3 * S^-2 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH71.23 : Type {12,24,24} Order 168 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^2 * S^2 * R, S^2 * R^-3 * S^4 ] CH71.24 : Type {12,24,24} Order 168 Defining relations for automorphism group: [ S * R * S^-1 * R^-1 * S * R * S, R * S^-2 * R^-1 * S * R^-1 * S^-1, R^3 * S^-1 * R^-3 * S, R^12 ] CH71.25 : Type {12,24,24} Order 168 Defining relations for automorphism group: [ R^-4 * S * R^-1 * S, S * R * S * R^2 * S^2 * R^-1, S^2 * R * S^-1 * R * S^3, S^2 * R^-1 * S^-1 * R^2 * S^3 * R ] CH71.26 : Type {12,24,24} Order 168 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, S^2 * R * S^-1 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1, R^12 ] CH71.27 : Type {16,32,32} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, S^-4 * R^4 * S^-4 ] CH71.28 : Type {16,32,32} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-3 * S * R^-1 * S^2, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R ] CH71.29 : Type {16,32,32} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^3 * R^4 * S^5 ] CH71.30 : Type {16,32,32} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^-1 * R^-5 * S * R^-1 * S^2 * R^-1 ] CH71.31 : Type {16,32,32} Order 160 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-4 * S^-1 * R^-12 * S ] CH72.1 : Type {3,3,74} Order 444 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH72.2 : Type {4,4,73} Order 292 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-2 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-2 ] CH72.3 : Type {5,5,5} Order 355 Defining relations for automorphism group: [ R^-5, S^-5, R^-1 * S^-2 * R^-2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^-1, R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^2 ] CH72.4 : Type {5,5,5} Order 355 Defining relations for automorphism group: [ R^-5, S^-5, R^-1 * S^-2 * R^-2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^-1, R * S * R^-1 * S^-1 * R^2 * S * R * S^-2 ] CH72.5 : Type {6,6,37} Order 222 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R^2 * S * R * S^2 * R^2 * S^2 * R * S * R * S ] CH72.6 : Type {6,6,37} Order 222 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R ] CH72.7 : Type {8,8,25} Order 200 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH72.8 : Type {14,24,24} Order 168 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, R^5 * S^-1 * R * S, S^-4 * R * S^-2 * R^-2 * S^-6 ] CH72.9 : Type {14,24,24} Order 168 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, R^5 * S^-1 * R^-1 * S, S^-4 * R * S^-2 * R^-2 * S^-6 ] CH72.10 : Type {20,32,32} Order 160 Defining relations for automorphism group: [ S * R^3 * S^-1 * R, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R * S^-3 * R^-2 * S^-5 ] CH73.1 : Type {3,3,5} Order 1080 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R^-1)^5, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S^-1, (R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1)^2 ] CH73.2 : Type {3,3,6} Order 864 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R * S * R ] CH73.3 : Type {3,3,21} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R^-1 * S)^3, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] CH73.4 : Type {3,3,39} Order 468 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, (R * S^-1)^6, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH73.5 : Type {3,3,147} Order 441 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R ] CH73.6 : Type {3,4,6} Order 576 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, (R^-1 * S^-1)^6, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 ] CH73.7 : Type {3,6,6} Order 432 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-1)^4, R^-1 * S^-3 * R * S^3, (R^-1 * S^-1)^6, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH73.8 : Type {3,6,8} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 * R ] CH73.9 : Type {3,6,8} Order 384 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, S * R * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH73.10 : Type {3,6,8} Order 384 Defining relations for automorphism group: [ R^-3, S^6, R * S^-2 * R^-1 * S * R * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH73.11 : Type {3,6,8} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] CH73.12 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, S * R^-1 * S^-1 * R^-1 * S^2 * R ] CH73.13 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S * R * S^-2 * R^-1 * S^2 * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 ] CH73.14 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-3 * R * S^3, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-2 * R ] CH73.15 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 ] CH73.16 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 ] CH73.17 : Type {3,6,14} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH73.18 : Type {3,6,26} Order 312 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S ] CH73.19 : Type {3,6,98} Order 294 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S ] CH73.20 : Type {3,12,84} Order 252 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1, S^12 ] CH73.21 : Type {3,33,77} Order 231 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1, S^-2 * R * S^-2 * R * S^-1 * R^-1 * S^-6 ] CH73.22 : Type {4,4,4} Order 576 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH73.23 : Type {4,4,4} Order 576 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH73.24 : Type {4,4,4} Order 576 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH73.25 : Type {4,4,10} Order 360 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH73.26 : Type {4,4,20} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH73.27 : Type {4,4,20} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-2 * R * S * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH73.28 : Type {4,4,20} Order 320 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH73.29 : Type {4,4,20} Order 320 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^2 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R * S * R * S^-1 * R^-1 * S * R ] CH73.30 : Type {4,4,20} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-2 * R * S * R^-2 * S^2 * R^2 * S^-1 * R^-1 * S^-1 ] CH73.31 : Type {4,4,74} Order 296 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-1 * R^-1 ] CH73.32 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^4 * R ] CH73.33 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^4 * R^-1 ] CH73.34 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^8, S * R^-2 * S^-1 * R^2 * S^-1 * R * S * R^-1 ] CH73.35 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ] CH73.36 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1, (R^-1 * S * R^-1 * S^-1)^2 ] CH73.37 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S * R^-1 * S * R^2 * S^-2 * R^-1, S^8, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH73.38 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S^-2 * R * S * R^2 * S^-1 * R^-1 * S^-2 ] CH73.39 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-2 * R^-1, (R^-1 * S * R^-1 * S^-1)^2 ] CH73.40 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^2 * R^-1, S^8, S * R^-2 * S^-1 * R^2 * S^-1 * R * S * R ] CH73.41 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-2 * R^-1, (R^-1, S^-1)^2 ] CH73.42 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, S * R * S * R^2 * S^-2 * R^-1, S^8, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] CH73.43 : Type {4,8,8} Order 288 Defining relations for automorphism group: [ R^4, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1, (R^-1, S^-1)^2 ] CH73.44 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R ] CH73.45 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S ] CH73.46 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, S^8, S^-2 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-2 ] CH73.47 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] CH73.48 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 ] CH73.49 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-2, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 ] CH73.50 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R * S^-1 ] CH73.51 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^3, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 ] CH73.52 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^-2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S, S^8, S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-2 ] CH73.53 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^8, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH73.54 : Type {4,8,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^-2 * R^-1, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R ] CH73.55 : Type {4,12,15} Order 240 Defining relations for automorphism group: [ R^4, (R^-1 * S * R^-1 * S^-1)^2, S^2 * R^-1 * S^-1 * R * S^2 * R^-1 ] CH73.56 : Type {4,14,28} Order 224 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-3 * R^-2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3 * R * S^-1 ] CH73.57 : Type {4,24,24} Order 216 Defining relations for automorphism group: [ R^4, S * R * S * R^2 * S^-2 * R, S^-1 * R * S^-1 * R^-2 * S^-4 ] CH73.58 : Type {4,24,24} Order 216 Defining relations for automorphism group: [ R^4, S * R^-1 * S * R^2 * S^-2 * R^-1, S^-1 * R^-1 * S^-1 * R^-2 * S^-4 ] CH73.59 : Type {6,6,6} Order 288 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^2 * S^-1 * R * S, (R * S^-1)^4, R * S^-1 * R^-3 * S^-2 * R * S ] CH73.60 : Type {6,8,24} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH73.61 : Type {6,9,18} Order 216 Defining relations for automorphism group: [ R^6, S^-2 * R^-2 * S^-1 * R^2, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 ] CH73.62 : Type {6,9,18} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH73.63 : Type {6,9,18} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH73.64 : Type {8,8,12} Order 216 Defining relations for automorphism group: [ R^8, R * S * R^3 * S^-2 * R, S^2 * R^3 * S * R * S ] CH73.65 : Type {8,8,12} Order 216 Defining relations for automorphism group: [ R^8, R * S * R^3 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^2 * R)^2 ] CH73.66 : Type {8,8,12} Order 216 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-2 * R^4 * S^2 * R * S^-1 ] CH73.67 : Type {8,8,12} Order 216 Defining relations for automorphism group: [ (S^-1 * R)^3, R^8, R^-1 * S^-1 * R^3 * S * R^-1 * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S ] CH73.68 : Type {8,8,12} Order 216 Defining relations for automorphism group: [ (S^-1 * R)^3, R^8, S^-1 * R^4 * S^-1 * R^-1 * S^-1, S * R^-1 * S^-1 * R^2 * S * R^-2 ] CH73.69 : Type {9,9,63} Order 189 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-9, R^-1 * S^-1 * R^-1 * S * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH73.70 : Type {9,9,63} Order 189 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH73.71 : Type {9,9,63} Order 189 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-9, R * S^-1 * R^-1 * S * R^-2 * S * R * S * R * S ] CH73.72 : Type {12,24,56} Order 168 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S * R * S, S * R * S^-1 * R^-1 * S^2 * R^-1, R^-12 ] CH73.73 : Type {12,24,56} Order 168 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R, S^-2 * R^-3 * S^-4 ] CH73.74 : Type {18,27,54} Order 162 Defining relations for automorphism group: [ R^5 * S * R * S^-1, S * R^4 * S^-1 * R^2, S^-3 * R * S^-1 * R^-1 * S^-5 ] CH73.75 : Type {18,27,54} Order 162 Defining relations for automorphism group: [ R^5 * S^-1 * R * S, S^-1 * R^4 * S * R^2, S^-3 * R * S^-1 * R^-1 * S^-5 ] CH73.76 : Type {21,21,21} Order 168 Defining relations for automorphism group: [ (R * S * R)^2, S^-1 * R^-3 * S * R * S^-1, S^3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 ] CH73.77 : Type {21,21,21} Order 168 Defining relations for automorphism group: [ R * S^-2 * R^-1 * S^-1 * R * S^-1, S * R^4 * S^-1 * R * S ] CH74.1 : Type {3,3,76} Order 456 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S * R * S^-1 ] CH74.2 : Type {3,6,6} Order 438 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R^-1 * S * R^-1 ] CH74.3 : Type {3,6,6} Order 438 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R * S^2 * R * S^2 * R^-2 * S^2 * R * S^2 * R * S^-2 * R^-1 * S^2 * R * S ] CH74.4 : Type {4,4,75} Order 300 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-2 * S * R * S^-2 * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH74.5 : Type {6,6,38} Order 228 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-2 * R ] CH74.6 : Type {6,6,38} Order 228 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^3 * S * R * S^3, S^-1 * R^-1 * S^-2 * R^3 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH74.7 : Type {6,14,15} Order 210 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^2 * S * R^-1 * S, S^-3 * R^2 * S^-1 * R^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH74.8 : Type {8,8,50} Order 200 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S^2 * R * S * R^-2 * S^-1 ] CH74.9 : Type {32,32,40} Order 160 Defining relations for automorphism group: [ R * S^-1 * R^3 * S^2 * R, R * S * R^3 * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3 ] CH74.10 : Type {32,32,40} Order 160 Defining relations for automorphism group: [ S^-2 * R^2 * S^-1 * R^-1, R^-1 * S^-1 * R^3 * S^-2 * R^-1, R^7 * S * R^3 * S ] CH75.1 : Type {3,3,6} Order 888 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH75.2 : Type {3,3,151} Order 453 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH75.3 : Type {3,4,12} Order 444 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S^-1 * R^-1 * S)^3, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R ] CH75.4 : Type {3,4,12} Order 444 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S^-1 * R^-1 * S)^3, S * R^-1 * S * R^-1 * S^-2 * R^-1 * S^2 * R * S^2 * R^-1 ] CH75.5 : Type {3,4,12} Order 444 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R ] CH75.6 : Type {3,9,9} Order 333 Defining relations for automorphism group: [ R^-3, R * S^-3 * R^-1 * S^-2 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R ] CH75.7 : Type {3,9,9} Order 333 Defining relations for automorphism group: [ R^-3, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-2 ] CH75.8 : Type {3,9,9} Order 333 Defining relations for automorphism group: [ R^-3, R * S * R^-1 * S^-1 * R^-1 * S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH75.9 : Type {4,4,4} Order 592 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R * S^-1 ] CH75.10 : Type {4,4,4} Order 592 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 ] CH75.11 : Type {4,4,6} Order 444 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R * S^-1 ] CH75.12 : Type {4,8,8} Order 296 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R * S^-1 ] CH75.13 : Type {4,8,8} Order 296 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH75.14 : Type {4,12,20} Order 240 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^2 * R * S^-1 * R^2 * S^3 * R, S * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^2 ] CH75.15 : Type {4,12,20} Order 240 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^2 * R * S^-1 * R^2 * S^3 * R, S * R^-1 * S^-2 * R^2 * S^-2 * R * S ] CH75.16 : Type {7,27,27} Order 189 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^-27 ] CH75.17 : Type {8,8,26} Order 208 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^-1 ] CH75.18 : Type {8,8,26} Order 208 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1 ] CH75.19 : Type {8,12,48} Order 192 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-2 * R^3 * S^2 * R, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH75.20 : Type {24,24,28} Order 168 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^2 * S^-1 * R^2 * S^-1 * R * S, R * S^2 * R^2 * S * R * S ] CH75.21 : Type {24,24,28} Order 168 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R * S^2 * R^2 * S * R * S ] CH75.22 : Type {24,24,28} Order 168 Defining relations for automorphism group: [ R * S^-1 * R^3 * S^-1 * R * S, R * S * R^3 * S^-2 * R, S^2 * R^3 * S * R * S ] CH75.23 : Type {24,24,28} Order 168 Defining relations for automorphism group: [ (S^-1 * R)^3, S^-1 * R^4 * S^-1 * R^-1 * S^-1, S^2 * R^3 * S * R * S ] CH76.1 : Type {3,3,78} Order 468 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 ] CH76.2 : Type {3,4,6} Order 600 Defining relations for automorphism group: [ R^-3, S^4, (S^-1 * R)^3, (R^-1 * S^-1)^6, R^-1 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R * S * R * S^-1 ] CH76.3 : Type {3,4,6} Order 600 Defining relations for automorphism group: [ R^-3, S^4, (S^-1 * R)^3, (R^-1 * S^-1)^6, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R ] CH76.4 : Type {3,4,6} Order 600 Defining relations for automorphism group: [ R^-3, S^4, (S^-1 * R)^3, (R^-1 * S^-1)^6, R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S ] CH76.5 : Type {3,6,52} Order 312 Defining relations for automorphism group: [ R^-3, (S^-1 * R)^3, S^6, S^2 * R * S^-1 * R * S^2 * R, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 ] CH76.6 : Type {3,12,12} Order 300 Defining relations for automorphism group: [ R^-3, (R^-1 * S^-2)^2, (R * S^-1)^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R ] CH76.7 : Type {4,4,5} Order 500 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^-1 * S^2 ] CH76.8 : Type {4,4,5} Order 500 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH76.9 : Type {4,4,5} Order 500 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-2 * R^2 * S^2 * R * S^-1, (S^-1 * R^-1)^5, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] CH76.10 : Type {4,6,12} Order 300 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R * S^-2 * R^-2 * S^-2 * R^-1 * S ] CH76.11 : Type {4,6,12} Order 300 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R * S^-1 * R^-1 ] CH76.12 : Type {4,22,44} Order 220 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1, S * R^-1 * S^4 * R^-1 * S * R^-1 * S * R * S^4 ] CH76.13 : Type {5,40,40} Order 200 Defining relations for automorphism group: [ R^-5, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R * S^3 * R^-2 * S^5 ] CH76.14 : Type {5,40,40} Order 200 Defining relations for automorphism group: [ R^-5, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-4 ] CH76.15 : Type {5,40,40} Order 200 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R, S^40 ] CH76.16 : Type {6,6,14} Order 252 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^2 * R ] CH76.17 : Type {6,6,14} Order 252 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S^6, S^-1 * R * S * R^2 * S^2 * R^-1 ] CH76.18 : Type {6,6,39} Order 234 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 ] CH76.19 : Type {6,6,39} Order 234 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^3 * S * R * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S ] CH76.20 : Type {6,6,39} Order 234 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^-1 * S^-1 * R^3 * S^2 * R * S ] CH76.21 : Type {6,6,39} Order 234 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R^2 * S * R * S^2 * R^2 * S * R * S * R * S^2 ] CH76.22 : Type {6,9,36} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^3 * S * R^-2, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R ] CH76.23 : Type {6,12,18} Order 216 Defining relations for automorphism group: [ R^6, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] CH76.24 : Type {6,12,18} Order 216 Defining relations for automorphism group: [ R^6, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH76.25 : Type {8,10,40} Order 200 Defining relations for automorphism group: [ R^8, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-4 * S^-4 ] CH76.26 : Type {9,9,12} Order 216 Defining relations for automorphism group: [ S * R^3 * S^2, R^-9, S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R^-1 ] CH76.27 : Type {12,18,36} Order 180 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^-1 * S * R^-2 * S * R * S, R^12 ] CH76.28 : Type {12,18,36} Order 180 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1, R^12 ] CH76.29 : Type {27,54,54} Order 162 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S^-4, R^-8 * S * R^-1 * S^-1 ] CH76.30 : Type {27,54,54} Order 162 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-3 * S^-4, R^-8 * S * R^-1 * S^-1 ] CH77.1 : Type {3,6,6} Order 456 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH77.2 : Type {3,6,6} Order 456 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^3 * R * S ] CH77.3 : Type {3,15,15} Order 285 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] CH77.4 : Type {4,4,40} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S * R ] CH77.5 : Type {4,4,40} Order 320 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH77.6 : Type {4,4,40} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH77.7 : Type {4,4,78} Order 312 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH77.8 : Type {4,8,32} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-4 * R^-1 * S^4, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 ] CH77.9 : Type {4,12,30} Order 240 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH77.10 : Type {6,12,12} Order 228 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-3 * S^-4, S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R^-1 ] CH77.11 : Type {6,12,12} Order 228 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, R^6, S^2 * R * S^-1 * R * S^3, S * R * S^2 * R^-1 * S^-2 * R * S * R * S^3 * R * S ] CH77.12 : Type {8,8,52} Order 208 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH77.13 : Type {8,8,52} Order 208 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-2 * R * S * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH77.14 : Type {8,16,48} Order 192 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-2 * R^3 * S^2 * R, S^-2 * R^-1 * S^-2 * R * S^-4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH77.15 : Type {12,16,16} Order 192 Defining relations for automorphism group: [ S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^-1 * R * S * R^2 * S * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^5 * S^-3 * R^-1 ] CH78.1 : Type {3,3,157} Order 471 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S * R * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S * R * S * R * S * R * S * R * S * R * S * R * S ] CH78.2 : Type {4,9,36} Order 252 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R * S^3, S^-9, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH78.3 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, R^-1 * S^-1 * R^-2 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1 ] CH78.4 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R, R^-2 * S^-1 * R^-2 * S^2 * R^-1 * S^-1 ] CH78.5 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S^2 * R^-2 * S * R^-1 * S, S * R^-1 * S * R^2 * S * R * S ] CH78.6 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, R * S^2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S^2 * R^-2 ] CH78.7 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1, R^-2 * S^-1 * R^-2 * S^-1 * R^-1 * S^2 ] CH78.8 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1 ] CH78.9 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S * R^-1 * S * R^2 * S^-2 * R^-1, S * R * S * R^2 * S * R^-1 * S ] CH78.10 : Type {5,20,20} Order 220 Defining relations for automorphism group: [ R^-5, S * R^-1 * S * R^2 * S^2 * R, R^-2 * S^-1 * R^-2 * S^-1 * R^-1 * S^2 ] CH78.11 : Type {6,6,7} Order 294 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S * R * S^-1 ] CH78.12 : Type {6,6,7} Order 294 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R^-2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH78.13 : Type {6,6,7} Order 294 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S * R * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R * S * R ] CH78.14 : Type {6,6,7} Order 294 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-1 * R^-1 * S^-2 * R^3 * S^-1 * R^-1 * S^-2 * R^-1, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 ] CH78.15 : Type {6,15,30} Order 210 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^-2 * S^-1 * R^-1 * S^-2 ] CH78.16 : Type {6,15,30} Order 210 Defining relations for automorphism group: [ R^6, S * R^-1 * S * R^-1 * S^3, R^-1 * S^-2 * R^-2 * S^-2 * R^-1 * S^-1, R^-2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ] CH78.17 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ R * S^-1 * R^3 * S^3, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1, S * R * S * R^2 * S^-1 * R * S ] CH78.18 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S * R^2 * S^2 * R ] CH78.19 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ (R * S^-1)^2, R^10, (R * S * R^3)^2, R^-2 * S^-1 * R^3 * S * R * S^-2 ] CH78.20 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^10, (R * S * R^3)^2 ] CH78.21 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R * S * R^2)^2, S * R^-1 * S * R^2 * S^-2 * R^-1 ] CH78.22 : Type {10,10,10} Order 220 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R * S * R^2)^2, S * R^-1 * S * R^2 * S^2 * R, R^10 ] CH78.23 : Type {13,15,15} Order 195 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, R^-4 * S^-1 * R^-1 * S, S^-15 ] CH79.1 : Type {3,3,6} Order 936 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH79.2 : Type {3,3,42} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH79.3 : Type {3,4,6} Order 624 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1, S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R ] CH79.4 : Type {3,4,12} Order 468 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R ] CH79.5 : Type {3,4,12} Order 468 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R ] CH79.6 : Type {3,4,12} Order 468 Defining relations for automorphism group: [ R^-3, S^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R, S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] CH79.7 : Type {3,6,28} Order 336 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH79.8 : Type {3,8,24} Order 312 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 ] CH79.9 : Type {3,8,24} Order 312 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2, R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^2 ] CH79.10 : Type {3,8,24} Order 312 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH79.11 : Type {3,9,9} Order 351 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R * S^-1 * R * S ] CH79.12 : Type {3,9,9} Order 351 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] CH79.13 : Type {3,9,9} Order 351 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R ] CH79.14 : Type {3,21,21} Order 273 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 ] CH79.15 : Type {3,81,81} Order 243 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-14 * R * S^-1 * R^-1 * S^-12 ] CH79.16 : Type {4,4,8} Order 416 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH79.17 : Type {4,4,8} Order 416 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R^-1 * S * R * S^-1 ] CH79.18 : Type {4,4,8} Order 416 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R * S^-1 * R ] CH79.19 : Type {4,4,8} Order 416 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S ] CH79.20 : Type {4,4,14} Order 364 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R ] CH79.21 : Type {4,4,80} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S^-1 ] CH79.22 : Type {4,4,80} Order 320 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R ] CH79.23 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S * R^-1 ] CH79.24 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S ] CH79.25 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-2 * R * S ] CH79.26 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-3 * R * S^3, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH79.27 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-3 * R * S^3, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R ] CH79.28 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, S^6, S * R^-1 * S * R^2 * S^-2 * R^-1 ] CH79.29 : Type {4,6,12} Order 312 Defining relations for automorphism group: [ R^4, S^6, S * R * S * R^2 * S^-2 * R ] CH79.30 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3 * R ] CH79.31 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, R^-1 * S^-3 * R^2 * S^-2 * R^-1 * S^-1 ] CH79.32 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R^-1 * S, (R * S^-1 * R^-1 * S^-1)^2, S^-2 * R^-1 * S^-1 * R^2 * S * R * S^-2 ] CH79.33 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-2 * R^-1, (R * S^-1 * R^-1 * S^-1)^2 ] CH79.34 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, (R * S^-1 * R^-1 * S^-1)^2, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ] CH79.35 : Type {4,8,12} Order 288 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-2 * R, (R * S^-1 * R^-1 * S^-1)^2 ] CH79.36 : Type {4,8,64} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S * R * S * R * S * R * S * R * S * R * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S ] CH79.37 : Type {4,10,20} Order 260 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^10, R * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH79.38 : Type {4,12,60} Order 240 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S * R * S^-1 * R^2 * S^-1 * R * S, S^12 ] CH79.39 : Type {4,12,60} Order 240 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^2 * S^-3 * R ] CH79.40 : Type {4,44,55} Order 220 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S * R * S * R^2 * S^-2 * R, S^-4 * R^-1 * S^-1 * R^2 * S^-6 ] CH79.41 : Type {6,6,6} Order 312 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, R * S * R^-2 * S * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S ] CH79.42 : Type {6,9,18} Order 234 Defining relations for automorphism group: [ S * R^-2 * S^2, R^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S ] CH79.43 : Type {6,9,18} Order 234 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-2, R^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S * R * S^-1 * R * S ] CH79.44 : Type {6,12,36} Order 216 Defining relations for automorphism group: [ R^6, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S ] CH79.45 : Type {6,12,36} Order 216 Defining relations for automorphism group: [ R^6, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH79.46 : Type {6,18,18} Order 216 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S^-4 ] CH79.47 : Type {6,18,18} Order 216 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH79.48 : Type {6,18,18} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, (S, R^-1, S), S^-1 * R^-1 * S^-2 * R * S^-3, S^-1 * R * S^-1 * R^-2 * S * R * S^-2 ] CH79.49 : Type {8,9,24} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, R^-1 * S^-3 * R * S^-3, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S ] CH79.50 : Type {8,16,16} Order 208 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^8, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH79.51 : Type {8,16,16} Order 208 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH79.52 : Type {8,16,16} Order 208 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^8, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 ] CH79.53 : Type {9,9,18} Order 216 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, R^-9, S * R^-1 * S^-1 * R^-2 * S^-1 * R * S * R^-1 ] CH79.54 : Type {9,12,12} Order 216 Defining relations for automorphism group: [ (R * S^-1)^2, (R * S * R)^2, R^-9, S^-1 * R^-1 * S^-2 * R^2 * S^-2 * R^-1 * S^-1, R * S^3 * R^-2 * S^-5 ] CH79.55 : Type {9,12,12} Order 216 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R^-1 * S^-3)^2, R^-9, S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 ] CH79.56 : Type {9,21,63} Order 189 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^-21 ] CH79.57 : Type {12,16,24} Order 192 Defining relations for automorphism group: [ S * R * S^-1 * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^12 ] CH79.58 : Type {12,36,45} Order 180 Defining relations for automorphism group: [ R * S^-1 * R^3 * S^-2 * R, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, (R^-1 * S^-3)^2 ] CH79.59 : Type {12,36,45} Order 180 Defining relations for automorphism group: [ S^-2 * R^2 * S^-1 * R^-1, R^-1 * S^-1 * R^3 * S^-2 * R^-1, R^12 ] CH79.60 : Type {15,15,15} Order 195 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-6 * S^-3, S^2 * R^-3 * S^4, R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 ] CH80.1 : Type {3,6,6} Order 474 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R * S^2 * R * S^2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^3 * R * S ] CH80.2 : Type {3,6,6} Order 474 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH80.3 : Type {6,15,70} Order 210 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S^-2 * R * S^-1 ] CH80.4 : Type {12,12,17} Order 204 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R * S * R * S * R^2 * S^2 * R * S, R^12 ] CH80.5 : Type {15,36,36} Order 180 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, S^-1 * R^-4 * S^2 * R * S^-1, S^-4 * R * S^-2 * R * S^-6 ] CH81.1 : Type {3,3,8} Order 768 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S * R^-1, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R ] CH81.2 : Type {3,3,35} Order 525 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R ] CH81.3 : Type {3,3,163} Order 489 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 ] CH81.4 : Type {3,6,12} Order 384 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-1)^4, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1, S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1 ] CH81.5 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, (R * S^-2 * R^-1 * S^-1)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R ] CH81.6 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, (R^-1 * S * R^-1 * S^-1)^2, S^8, S * R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 ] CH81.7 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2, R * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S, S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] CH81.8 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH81.9 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, (R * S^-1)^4, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2 ] CH81.10 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, (R * S^-1)^4, S^8, S^2 * R * S^-1 * R^-1 * S^3 * R, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] CH81.11 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, (R^-1 * S * R^-1 * S^-1)^2, S^8, R * S^-3 * R^-1 * S^2 * R^-1 * S ] CH81.12 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, S^8, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-2, S * R^-1 * S * R^-1 * S^-1 * R * S^3 * R ] CH81.13 : Type {3,8,8} Order 384 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^3 * R ] CH81.14 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH81.15 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1, R^-1 * S * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S ] CH81.16 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1 ] CH81.17 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, R^-1 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 ] CH81.18 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R * S^-1 ] CH81.19 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH81.20 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 ] CH81.21 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 ] CH81.22 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R ] CH81.23 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1 * S^-1 ] CH81.24 : Type {4,4,4} Order 640 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R * S^-1 ] CH81.25 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R * S^-1 * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH81.26 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1 * S^-1, (R^-1 * S^-1)^6 ] CH81.27 : Type {4,4,6} Order 480 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH81.28 : Type {4,4,10} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * R ] CH81.29 : Type {4,4,10} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH81.30 : Type {4,4,10} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH81.31 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH81.32 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] CH81.33 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S * R^-1 * S^2 * R, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH81.34 : Type {4,4,12} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R ] CH81.35 : Type {4,4,18} Order 360 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 ] CH81.36 : Type {4,4,34} Order 340 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH81.37 : Type {4,4,82} Order 328 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH81.38 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2 ] CH81.39 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH81.40 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, (S^-1 * R)^3, S^6, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH81.41 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2, S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH81.42 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-3 * R^2 * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S^3 ] CH81.43 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] CH81.44 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 * R * S ] CH81.45 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, S^-2 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^2, R^-1 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1 * S ] CH81.46 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH81.47 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S ] CH81.48 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] CH81.49 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-2 * R * S ] CH81.50 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] CH81.51 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S ] CH81.52 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R * S^-2 ] CH81.53 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S ] CH81.54 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S * R^-1 * S^-1 ] CH81.55 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, (S^-1 * R^-1 * S^-1)^3, (S * R^-1 * S)^3 ] CH81.56 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^3 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^3 ] CH81.57 : Type {4,6,6} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R * S^-1 ] CH81.58 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, (R * S^-1)^4, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ] CH81.59 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^-2 * R^-1, (R * S^-1)^4, S^8, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R ] CH81.60 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 ] CH81.61 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH81.62 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^8, R^-1 * S^-4 * R * S^4, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH81.63 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^8, R^-1 * S^-4 * R * S^4, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-2 * R^-1 * S^-1 ] CH81.64 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^2 * R * S^-1 ] CH81.65 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH81.66 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH81.67 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1 ] CH81.68 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1 ] CH81.69 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S ] CH81.70 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH81.71 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH81.72 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH81.73 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R ] CH81.74 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R^-1 ] CH81.75 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^2 * R^-1 * S^-1 ] CH81.76 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 * S * R ] CH81.77 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 * R ] CH81.78 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R ] CH81.79 : Type {4,8,8} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 * S * R ] CH81.80 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-4 * R * S^-4 ] CH81.81 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-4 * R * S^-4 ] CH81.82 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-2 * R^-2 * S^-1 * R^2 * S^-5 ] CH81.83 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S^-5 ] CH81.84 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-4 * R * S^-4 ] CH81.85 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-4 * R * S^-4 ] CH81.86 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH81.87 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH81.88 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1 ] CH81.89 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 ] CH81.90 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 ] CH81.91 : Type {4,16,16} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 ] CH81.92 : Type {4,24,24} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^-6 * R^2 * S^-6 ] CH81.93 : Type {4,24,24} Order 240 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, S^-6 * R^2 * S^-6 ] CH81.94 : Type {5,5,55} Order 275 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH81.95 : Type {5,5,55} Order 275 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH81.96 : Type {5,15,15} Order 240 Defining relations for automorphism group: [ R^-5, S^-1 * R^-1 * S * R^2 * S^-3, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1 ] CH81.97 : Type {5,15,15} Order 240 Defining relations for automorphism group: [ R^-5, S * R^-1 * S^-1 * R^2 * S^3, R^-1 * S^-2 * R^2 * S * R^-1 * S ] CH81.98 : Type {5,20,44} Order 220 Defining relations for automorphism group: [ R^-5, R * S^-2 * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH81.99 : Type {5,20,44} Order 220 Defining relations for automorphism group: [ R^-5, S^2 * R^-2 * S * R * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH81.100 : Type {6,8,24} Order 240 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH81.101 : Type {6,8,24} Order 240 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH81.102 : Type {6,12,12} Order 240 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^-1 * S^-2 * R, (R * S^-2 * R)^2 ] CH81.103 : Type {6,12,12} Order 240 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R ] CH81.104 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, R * S^-2 * R^2 * S^2 * R, S^-1 * R * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8 ] CH81.105 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, R * S^-2 * R^2 * S^2 * R, S^-1 * R * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, S^8 ] CH81.106 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH81.107 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^8, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH81.108 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-2 * R^2 * S^2 * R, S * R * S * R^2 * S * R^-1 * S, S^8, S * R^-1 * S^-1 * R^3 * S * R * S^-1 * R ] CH81.109 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R * S^-2 * R^2 * S^2 * R, S * R^-1 * S * R^2 * S * R * S, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 ] CH81.110 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, R^-1 * S^-2 * R^2 * S^-2 * R^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S * R^-1 * S^-1 * R^3 * S^-1 * R * S * R^-1 ] CH81.111 : Type {8,8,8} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R ] CH81.112 : Type {8,8,12} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH81.113 : Type {8,8,12} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R^-1 * S * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH81.114 : Type {8,20,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^8, S * R * S * R^-2 * S * R^-1 * S^2 ] CH81.115 : Type {8,20,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^8, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-2 ] CH81.116 : Type {8,48,48} Order 192 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-2 * R^3 * S^2 * R, (S, R^-1, S), S^-5 * R * S^-1 * R^-1 * S^-6 ] CH81.117 : Type {10,20,20} Order 200 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, S * R^3 * S^-1 * R, S^20 ] CH81.118 : Type {10,20,20} Order 200 Defining relations for automorphism group: [ S^-2 * R^3 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^10 ] CH81.119 : Type {10,20,20} Order 200 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, S^2 * R^3 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^10 ] CH81.120 : Type {10,20,20} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^4 * S^-3, (R * S^-1)^4, R^10, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH81.121 : Type {10,20,20} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^10, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH81.122 : Type {12,16,48} Order 192 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S^-2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^12 ] CH81.123 : Type {16,16,24} Order 192 Defining relations for automorphism group: [ S * R^4 * S^3, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH81.124 : Type {18,36,36} Order 180 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-3 * S^2 * R^-1 * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH81.125 : Type {18,36,36} Order 180 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S * R^-1 * S^-1 * R^-1 * S^-2 * R, S * R^-4 * S^2 * R^-12 * S ] CH82.1 : Type {3,3,4} Order 1944 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R ] CH82.2 : Type {3,3,4} Order 1944 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R ] CH82.3 : Type {3,3,4} Order 1944 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R ] CH82.4 : Type {3,3,12} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1, (R * S^-1)^6 ] CH82.5 : Type {3,3,12} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 ] CH82.6 : Type {3,3,21} Order 567 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH82.7 : Type {3,3,57} Order 513 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R ] CH82.8 : Type {3,3,84} Order 504 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH82.9 : Type {3,4,6} Order 648 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1)^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^2, (R^-1 * S^-1)^6 ] CH82.10 : Type {3,6,6} Order 486 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (R * S^-2 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 ] CH82.11 : Type {3,6,6} Order 486 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, (R * S^-2 * R^-1 * S^-1)^2, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R ] CH82.12 : Type {3,6,6} Order 486 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, (R * S^-2 * R^-1 * S^-1)^2 ] CH82.13 : Type {3,6,6} Order 486 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-2, R^-1 * S * R^-1 * S^-2 * R^2 * S^-1 * R * S * R^-1 * S, (R^-1 * S^-1 * R^-1 * S)^3, S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] CH82.14 : Type {3,6,8} Order 432 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (S * R^-1 * S)^3, R * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S, (R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1)^2 ] CH82.15 : Type {3,6,8} Order 432 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (S * R^-1 * S)^3, R * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH82.16 : Type {3,6,8} Order 432 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (S * R^-1 * S)^3, R * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S ] CH82.17 : Type {3,6,14} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1, S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] CH82.18 : Type {3,6,38} Order 342 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 * R ] CH82.19 : Type {4,4,4} Order 648 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1 * S^-1, S^-2 * R * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S^2 * R^-1 ] CH82.20 : Type {4,4,4} Order 648 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-1 * S^-2 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S^2 * R ] CH82.21 : Type {4,4,4} Order 648 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-2 * S * R^-2 * S^-1 * R^2 * S * R^-1 * S^2 * R * S^-1, S^-1 * R * S^-1 * R^-1 * S^-2 * R^2 * S^2 * R * S^2 * R^-1 ] CH82.22 : Type {4,4,4} Order 648 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-2 * S * R^-2 * S^-1 * R^2 * S * R * S * R^-1 * S^2, R^-1 * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R^-1 * S ] CH82.23 : Type {4,4,20} Order 360 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S ] CH82.24 : Type {4,4,20} Order 360 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S ] CH82.25 : Type {6,6,42} Order 252 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH82.26 : Type {6,6,42} Order 252 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S * R * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] CH82.27 : Type {6,6,42} Order 252 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S^-1 * R^3 * S^-1 * R^-1 * S^2 ] CH82.28 : Type {6,6,42} Order 252 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-1 * R^-1 * S^-2 * R^3 * S^-1 * R^-1 * S^-2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH82.29 : Type {6,18,36} Order 216 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (S, R^-1, S), S^-1 * R * S^-2 * R^-1 * S^-3 ] CH82.30 : Type {6,18,36} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^3 * S * R^-2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH82.31 : Type {6,24,24} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^-1 * S^-1 * R^-1 * S^2 * R * S ] CH82.32 : Type {6,30,35} Order 210 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-2 * R ] CH82.33 : Type {6,30,35} Order 210 Defining relations for automorphism group: [ R^6, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^2 * S^-2 * R^-1 ] CH82.34 : Type {8,12,24} Order 216 Defining relations for automorphism group: [ S^-1 * R^-3 * S^-1 * R * S^-1, R^8, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1 ] CH82.35 : Type {8,12,24} Order 216 Defining relations for automorphism group: [ S * R^-3 * S^2 * R, R^8, S * R^-1 * S * R^2 * S^-2 * R^-1 ] CH82.36 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ S * R^3 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^2, R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] CH82.37 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S * R^-1 * S * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R ] CH82.38 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-9, S^-2 * R^-3 * S^-1 * R^3 ] CH82.39 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ (S^-1 * R)^3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, R^-9, R * S^-1 * R^-3 * S^-2 * R^2 ] CH82.40 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R^-9, S^-2 * R^-3 * S^-1 * R^3 ] CH82.41 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ S^2 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^2 * R * S^-1 * R * S^2 * R, R^-9, R * S^-1 * R^-3 * S^-2 * R^2 ] CH82.42 : Type {9,9,9} Order 243 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^2 * R * S^-1 * R * S^2 * R, R^-9, R * S^-1 * R^-3 * S^-2 * R^2 ] CH82.43 : Type {9,9,36} Order 216 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, R^-9, S^-1 * R^-1 * S * R^-2 * S * R * S^-1 * R^-1 ] CH82.44 : Type {9,12,18} Order 216 Defining relations for automorphism group: [ R * S^-1 * R^-2 * S^-1 * R * S^-1, S^-2 * R^-2 * S^2 * R^-1 ] CH82.45 : Type {9,63,63} Order 189 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^-11 * R * S^-2 * R^-1 * S^-8 ] CH82.46 : Type {12,12,12} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 ] CH82.47 : Type {12,12,12} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^2 * S^2 * R, R * S^2 * R^2 * S * R * S^-1 ] CH82.48 : Type {12,12,12} Order 216 Defining relations for automorphism group: [ S * R^4 * S^3, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R, S^-1 * R^-1 * S * R^2 * S^-2 * R^-1 ] CH82.49 : Type {12,12,12} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^2 * R^2 * S * R * S, (R^-1, S^-1)^2 ] CH83.1 : Type {4,4,4} Order 656 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R * S^2 * R^-1 * S^2 * R * S^-1 ] CH83.2 : Type {4,4,4} Order 656 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^2 * R * S^2 * R^-1 * S^2 * R^-1 * S^-1 ] CH83.3 : Type {4,4,6} Order 492 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, R^-1 * S^2 * R^-2 * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S * R^-1 * S^2 * R^-1 ] CH83.4 : Type {4,8,8} Order 328 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R * S^-2 * R * S ] CH83.5 : Type {4,8,8} Order 328 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-1 * R^-2 * S^-1 * R^-2 * S * R^2 * S^-1 * R^-1 ] CH83.6 : Type {4,8,8} Order 328 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-2, S * R^-2 * S^-1 * R^-2 * S * R^-1 * S * R^2 ] CH83.7 : Type {4,8,8} Order 328 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, R^-2 * S^-1 * R^-2 * S * R * S^2 ] CH83.8 : Type {4,8,8} Order 328 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH83.9 : Type {12,24,48} Order 192 Defining relations for automorphism group: [ S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S, R^12 ] CH84.1 : Type {3,3,86} Order 516 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH84.2 : Type {3,3,169} Order 507 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH84.3 : Type {3,21,91} Order 273 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R * S^-2 * R * S^-1 * R^-1 * S^-2 * R * S^-2 ] CH84.4 : Type {4,4,85} Order 340 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R * S * R^-1 * S ] CH84.5 : Type {4,4,85} Order 340 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 ] CH84.6 : Type {4,4,85} Order 340 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R * S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R * S^2 * R^2 * S^-2 ] CH84.7 : Type {4,4,85} Order 340 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH84.8 : Type {5,44,44} Order 220 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^44 ] CH84.9 : Type {6,6,43} Order 258 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R * S * R * S * R * S * R^2 * S^2 * R * S * R * S ] CH84.10 : Type {6,6,43} Order 258 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 ] CH84.11 : Type {7,30,30} Order 210 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^30 ] CH84.12 : Type {7,30,30} Order 210 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, S^-1 * R^3 * S * R^-1, S^30 ] CH84.13 : Type {8,8,29} Order 232 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R^2 * S^-1 * R^-1 * S^-2 * R^-2 * S^2 * R * S * R * S ] CH84.14 : Type {10,10,22} Order 220 Defining relations for automorphism group: [ R * S * R^3 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^10 ] CH84.15 : Type {10,10,22} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^10 ] CH84.16 : Type {10,10,22} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^2 * R, R^10 ] CH84.17 : Type {10,10,22} Order 220 Defining relations for automorphism group: [ S^2 * R^3 * S * R * S, S * R * S^-1 * R^2 * S^2 * R^-1, R^10 ] CH84.18 : Type {12,12,51} Order 204 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH84.19 : Type {13,16,16} Order 208 Defining relations for automorphism group: [ R^-1 * S^-2 * R^-1 * S^2, S^-1 * R^-3 * S * R^-2, S^16 ] CH84.20 : Type {15,15,65} Order 195 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-6 * S^-3, S^2 * R^-3 * S^4, S * R^-1 * S^-1 * R^-2 * S * R * S * R ] CH84.21 : Type {15,15,65} Order 195 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R * S * R * S * R^2 * S^2 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S ] CH84.22 : Type {21,27,27} Order 189 Defining relations for automorphism group: [ R^-4 * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^3 * R^-1 * S * R^2 * S^5 ] CH84.23 : Type {36,36,45} Order 180 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^3, R^6 * S^-2 * R * S ] CH84.24 : Type {36,36,45} Order 180 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-3 * R^-10 * S^-2 * R^-2 ] CH85.1 : Type {3,3,6} Order 1008 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] CH85.2 : Type {3,4,6} Order 672 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R ] CH85.3 : Type {3,4,6} Order 672 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S * R^-1 * S^-1 * R ] CH85.4 : Type {3,4,6} Order 672 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R ] CH85.5 : Type {3,4,6} Order 672 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S * R^-1 * S * R ] CH85.6 : Type {3,4,8} Order 576 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1)^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^2 ] CH85.7 : Type {3,4,12} Order 504 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 ] CH85.8 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1, S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S ] CH85.9 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, (R * S^-2 * R^-1 * S^-1)^2, (R^-1 * S^-1)^6, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH85.10 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, (R * S^-2 * R^-1 * S^-1)^2, (R^-1 * S^-1)^6, R * S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] CH85.11 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S * R^-1 * S * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S ] CH85.12 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, (R * S^-2 * R^-1 * S^-1)^2, S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^-1 ] CH85.13 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (S * R^-1 * S)^3, S * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R * S^2 * R * S ] CH85.14 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S ] CH85.15 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R * S^-3 * R^-1 * S^-1 * R^-1 * S^3 * R * S, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH85.16 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^2 * R * S^-3 * R^-1 * S^-1 ] CH85.17 : Type {3,6,6} Order 504 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R ] CH85.18 : Type {3,6,114} Order 342 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH85.19 : Type {3,12,12} Order 336 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-4, (S * R^-1 * S)^3, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH85.20 : Type {3,12,12} Order 336 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^12, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] CH85.21 : Type {3,12,12} Order 336 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 ] CH85.22 : Type {3,12,12} Order 336 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, (R^-1 * S^-5)^2, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-2 ] CH85.23 : Type {3,14,42} Order 294 Defining relations for automorphism group: [ R^-3, (S, R^-1, S), S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, S^14 ] CH85.24 : Type {3,14,42} Order 294 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S, S^14 ] CH85.25 : Type {3,15,15} Order 315 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R, S^-15 ] CH85.26 : Type {3,15,95} Order 285 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-2 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2 * R ] CH85.27 : Type {3,39,39} Order 273 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^4 * R * S * R^-1 * S * R^-1 * S^7 ] CH85.28 : Type {4,4,30} Order 360 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH85.29 : Type {4,6,12} Order 336 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R * S^-1 * R * S ] CH85.30 : Type {4,6,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R^-1 * S^-1 * R * S^3 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^2 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^2 ] CH85.31 : Type {4,6,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, R^-1 * S^-3 * R^-1 * S^-1 * R * S * R * S^3 ] CH85.32 : Type {4,8,10} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, S^2 * R * S^-1 * R^2 * S^3 * R, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH85.33 : Type {4,8,10} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-2 * R^-1 ] CH85.34 : Type {4,9,18} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-3 * R * S^3, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, S^-9 ] CH85.35 : Type {4,16,32} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-4 * R * S^-4, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH85.36 : Type {4,16,32} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^2 * R^-1 * S^-2 * R^-1 * S^4, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S * R^-1 ] CH85.37 : Type {4,16,32} Order 256 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R * S^-2)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S^-5, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 ] CH85.38 : Type {4,16,32} Order 256 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S^-5, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R ] CH85.39 : Type {4,16,32} Order 256 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R^-1 * S^-2 * R * S^4, S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R^-1 ] CH85.40 : Type {4,18,36} Order 252 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R * S^3, S^-4 * R^-2 * S^-5, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH85.41 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^2 * S^-1 * R^-2 * S * R^-1 * S^-2 ] CH85.42 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^-2 * S * R^-1 * S ] CH85.43 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S * R^2 * S^2 * R, R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 ] CH85.44 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S * R^2 * S^2 * R, R^-2 * S * R^-2 * S^-2 * R * S ] CH85.45 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH85.46 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH85.47 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, (R * S * R)^2, S^6, S * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 * S^-1 * R^2 * S^3 * R * S * R * S^-1 * R^-1 * S ] CH85.48 : Type {6,6,6} Order 336 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, R^6, S^6, S^-1 * R * S * R * S^-3 * R * S * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 ] CH85.49 : Type {6,6,12} Order 288 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH85.50 : Type {6,6,12} Order 288 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S^-1 * R^3 * S^2 * R * S ] CH85.51 : Type {6,8,8} Order 288 Defining relations for automorphism group: [ R^6, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, S^-1 * R * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8 ] CH85.52 : Type {6,12,12} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-3 * S^-4, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-2 * R * S^-1 * R ] CH85.53 : Type {6,12,12} Order 252 Defining relations for automorphism group: [ R^6, S * R * S^-1 * R^-1 * S^-2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2 ] CH85.54 : Type {6,12,12} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^3 * S * R^-2, S^-2 * R^-3 * S^-4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH85.55 : Type {6,12,12} Order 252 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, R^6, S^2 * R * S^-1 * R * S^3, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R * S * R * S^3 * R^-1 * S^-1 ] CH85.56 : Type {6,12,12} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-3 * S^-4, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH85.57 : Type {6,12,76} Order 228 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-3 * S^-4, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S ] CH85.58 : Type {6,36,36} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-5 * R * S^-1 * R^-1 * S^-6 ] CH85.59 : Type {8,18,24} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2 ] CH85.60 : Type {9,9,9} Order 252 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R^-1 * S * R^-1 * S * R^-1 ] CH85.61 : Type {9,18,18} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-2 * S^-1 * R^-1 * S * R^-1 ] CH85.62 : Type {9,18,18} Order 216 Defining relations for automorphism group: [ S^-2 * R^-2 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2, (S, R^-1, S), S^-1 * R * S^-2 * R^-1 * S^-3 ] CH85.63 : Type {10,15,30} Order 210 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^-4 * S^3, S^3 * R^2 * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH85.64 : Type {10,15,30} Order 210 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-2, R^10, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH85.65 : Type {10,15,30} Order 210 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^-4 * S^-3, S^-3 * R^2 * S^-3, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH85.66 : Type {12,12,18} Order 216 Defining relations for automorphism group: [ S * R^4 * S * R^-2, S^2 * R^3 * S^2 * R, R^12, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH85.67 : Type {12,12,18} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-1 * R^-2, S^-2 * R^3 * S^-2 * R, R^12, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH85.68 : Type {12,48,48} Order 192 Defining relations for automorphism group: [ S^-2 * R^3 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S^-2 * R, R^-12 ] CH85.69 : Type {16,24,48} Order 192 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, R^5 * S^-1 * R^-1 * S, S^4 * R^-1 * S^2 * R * S^6 ] CH85.70 : Type {27,27,27} Order 189 Defining relations for automorphism group: [ R * S^-1 * R^-2 * S^-1 * R^-1 * S, R^-1 * S * R^-2 * S^-1 * R * S^-1, S^-5 * R * S^-2 * R * S^-2 * R * S^-3 ] CH85.71 : Type {27,27,27} Order 189 Defining relations for automorphism group: [ S^-1 * R * S^-1 * R^-1 * S^-2 * R, R^-1 * S^-1 * R^3 * S * R^-2, R^-6 * S^-3 ] CH86.1 : Type {4,4,87} Order 348 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH86.2 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, R^-1 * S^2 * R^-1 * S^-1 * R * S * R * S^-2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R * S * R ] CH86.3 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, S^-2 * R^-2 * S^-1 * R * S^-1 ] CH86.4 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH86.5 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH86.6 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R ] CH86.7 : Type {4,16,16} Order 272 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-2 * S^-1 * R^-2 * S^-1 * R^-1 * S^-2 ] CH86.8 : Type {8,8,58} Order 232 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, R^-2 * S^-2 * R^-1 * S^-1 * R^-2 * S * R * S * R * S^2 ] CH86.9 : Type {10,40,40} Order 200 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, S * R^3 * S^-1 * R, S^10 * R^2 * S * R * S^9 ] CH86.10 : Type {10,40,40} Order 200 Defining relations for automorphism group: [ S^2 * R^-2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^10 ] CH86.11 : Type {10,40,40} Order 200 Defining relations for automorphism group: [ S^-2 * R^-2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R, R^10 ] CH87.1 : Type {3,3,6} Order 1032 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S ] CH87.2 : Type {3,4,12} Order 516 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R ] CH87.3 : Type {3,12,14} Order 336 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R * S^3, (S^-1 * R^-1 * S^-1)^3, R^-1 * S * R^-1 * S * R^-1 * S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH87.4 : Type {3,39,91} Order 273 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^2 * R^-1, S^3 * R * S^2 * R^-1 * S * R * S^7 ] CH87.5 : Type {4,10,28} Order 280 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-2 * R * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R ] CH87.6 : Type {7,7,7} Order 301 Defining relations for automorphism group: [ R^-7, S^-2 * R^3 * S^-1 * R^-2, S^-7 ] CH87.7 : Type {7,7,7} Order 301 Defining relations for automorphism group: [ R^-7, R^-1 * S^-1 * R^-2 * S^3, S^3 * R^2 * S * R * S ] CH87.8 : Type {7,7,7} Order 301 Defining relations for automorphism group: [ R^-7, S^-1 * R * S^-1 * R^2 * S^-1 * R^-2, S^-7, S^2 * R^-3 * S^-3 * R ] CH87.9 : Type {7,7,7} Order 301 Defining relations for automorphism group: [ R^-7, S^-2 * R^-2 * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S^-3 ] CH87.10 : Type {8,8,30} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S * R * S, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH87.11 : Type {8,8,30} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH87.12 : Type {27,27,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^2 * S^-1 * R^2 * S * R * S^-1, S^2 * R^-3 * S^4 ] CH87.13 : Type {27,27,63} Order 189 Defining relations for automorphism group: [ R^-1 * S * R^-2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^3 * S * R^-2, S^2 * R^-3 * S^4 ] CH87.14 : Type {27,27,63} Order 189 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S * R * S, S * R * S^-1 * R^-1 * S^2 * R^-1, R^-2 * S^-2 * R^-9 * S^-1 * R^-1 ] CH88.1 : Type {3,32,32} Order 288 Defining relations for automorphism group: [ R^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^32 ] CH88.2 : Type {3,90,90} Order 270 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^15 * R * S * R^-1 * S^14 ] CH88.3 : Type {4,4,89} Order 356 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R ] CH88.4 : Type {4,6,12} Order 348 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-2 * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R^-1 ] CH88.5 : Type {6,6,45} Order 270 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-2 * R^3 * S^-2 * R, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R * S * R * S ] CH88.6 : Type {6,6,45} Order 270 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, S^-2 * R^3 * S^-2 * R^-1, R * S * R * S * R * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R * S ] CH88.7 : Type {6,72,72} Order 216 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-4 * R^-1 * S^-2 * R^-2 * S^-6 ] CH88.8 : Type {8,24,36} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^3 * R^2 * S^3, R^-1 * S * R^-1 * S^-1 * R * S^-3 ] CH88.9 : Type {8,24,36} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^3 * R^2 * S^3, S^2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S ] CH88.10 : Type {9,18,36} Order 216 Defining relations for automorphism group: [ (S^-1 * R)^3, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-3 * R * S^3, R^-9, S^-2 * R^-3 * S^-4, S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R^-1 ] CH88.11 : Type {9,24,24} Order 216 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, R^-4 * S^-1 * R^-1 * S, S^24 ] CH88.12 : Type {9,24,24} Order 216 Defining relations for automorphism group: [ S^-2 * R^-2 * S^2 * R^-1, R * S^-1 * R^3 * S * R^2, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-3 * R * S^-1 * R * S^-4 ] CH88.13 : Type {12,12,36} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-1 * R^-2, S^-2 * R^3 * S^-2 * R, R^12, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] CH88.14 : Type {12,12,36} Order 216 Defining relations for automorphism group: [ S * R^4 * S * R^-2, S^2 * R^3 * S^2 * R, R^12, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 ] CH88.15 : Type {12,18,18} Order 216 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R^2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R * S^-3 ] CH88.16 : Type {12,18,18} Order 216 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S^-1 * R * S^-1 ] CH88.17 : Type {14,15,30} Order 210 Defining relations for automorphism group: [ S * R^3 * S^-1 * R, R^5 * S * R * S^-1, S^-15 ] CH88.18 : Type {16,16,26} Order 208 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^2 ] CH88.19 : Type {21,63,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S^-1 * R^-1 * S^-2, S^-4 * R^3 * S^-5 ] CH88.20 : Type {21,63,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S * R^-1 * S^2, S^4 * R^3 * S^5 ] CH88.21 : Type {21,63,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S^-4, R^8 * S^-2 * R * S^-1 ] CH89.1 : Type {3,3,14} Order 672 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S * R * S^-1 * R^-1 * S^-1)^2 ] CH89.2 : Type {3,8,12} Order 384 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] CH89.3 : Type {4,4,24} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S * R * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S ] CH89.4 : Type {4,4,24} Order 384 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R ] CH89.5 : Type {4,4,90} Order 360 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R * S * R * S * R ] CH89.6 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1)^4, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^2 ] CH89.7 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1)^4, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^2, R^-1 * S * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1 ] CH89.8 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1)^4, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 ] CH89.9 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1)^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1, S^2 * R * S^-1 * R^2 * S^3 * R^-1 ] CH89.10 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, S^6, (R * S^-1)^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 ] CH89.11 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^6, S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R * S, (R^-1 * S^-2)^4 ] CH89.12 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, S * R^-2 * S^-1 * R^2 * S * R * S * R, R * S^-3 * R^2 * S^-2 * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-2 * R * S^2 ] CH89.13 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1)^4, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] CH89.14 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R * S^-2 ] CH89.15 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-3 * R^-1 * S^3, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH89.16 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 ] CH89.17 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2 ] CH89.18 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH89.19 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S * R^-2 * S^-1 * R * S^-2, S^-1 * R * S * R^-2 * S^-1 * R^-1 * S^-2, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 ] CH89.20 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^-2, S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH89.21 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH89.22 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1, S * R^-1 * S^-2 * R^-1 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH89.23 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1, S * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 ] CH89.24 : Type {4,6,8} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^2 ] CH89.25 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ R^-5, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R, (R * S^-2 * R)^2 ] CH89.26 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ R^-5, (R^-1 * S^-2)^2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, (R * S^-1)^4 ] CH89.27 : Type {5,8,8} Order 320 Defining relations for automorphism group: [ R^-5, (R * S^-2)^2, (R * S^-1 * R^-1 * S^-1)^2, S^8, R^2 * S^-1 * R^-2 * S^-2 * R^-1 * S^-1 ] CH89.28 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, R^-1 * S^-3 * R * S^3, R^-3 * S^-1 * R^3 * S^-1 * R^3 * S^-1 ] CH89.29 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, R^-2 * S^-1 * R^2 * S * R * S, S^2 * R * S^-1 * R * S^2 * R ] CH89.30 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R * S * R^2 * S^2 * R^-1, S^-2 * R * S^-1 * R^-1 * S^-2 * R ] CH89.31 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-2 ] CH89.32 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, (S^-1 * R)^3, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^2 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] CH89.33 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH89.34 : Type {6,6,7} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S^2 * R, S^2 * R^-1 * S^-2 * R^2 * S^-1 * R * S^2 * R^-1 ] CH89.35 : Type {7,28,28} Order 224 Defining relations for automorphism group: [ R^-7, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1, (R^-1, S^-1)^2 ] CH89.36 : Type {7,28,28} Order 224 Defining relations for automorphism group: [ R^-7, R * S^-2 * R^-1 * S^-1 * R * S^-1, (R^-1, S^-1)^2 ] CH89.37 : Type {7,28,28} Order 224 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, R^-7, R^-1 * S * R^3 * S^3 ] CH89.38 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH89.39 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, S^8, R^-1 * S^-1 * R^4 * S^-1 * R^-1 * S^-2 ] CH89.40 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^-2 * R^-1, S^2 * R^3 * S^2 * R^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8, R^-1 * S^-1 * R^4 * S^-1 * R^-1 * S^2 ] CH89.41 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R^-1 * S^-2 * R^-1 * S^2, R^8, S^8, S^-1 * R^-1 * S^-1 * R^3 * S^-1 * R * S^-1 * R, S^-1 * R * S^-1 * R^3 * S * R * S * R ] CH89.42 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, (R * S^-2)^2, R^8, S^8, S * R^-1 * S^-1 * R^3 * S * R^-1 * S^-1 * R^-1, S^-1 * R * S^-1 * R^3 * S * R * S * R ] CH89.43 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S ] CH89.44 : Type {8,8,16} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S ] CH89.45 : Type {8,8,60} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] CH89.46 : Type {8,8,60} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R * S^-1 ] CH89.47 : Type {8,10,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-1 * R^-1, R^8, S^-1 * R^-1 * S^-2 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S ] CH89.48 : Type {8,10,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S^-1 * R^-1, R^8, S * R^-1 * S^-2 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH89.49 : Type {10,12,12} Order 240 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R, R * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^4 * S * R^2, S^12 ] CH89.50 : Type {10,12,12} Order 240 Defining relations for automorphism group: [ R^-1 * S^-2 * R^-1 * S^2, S^-1 * R^4 * S * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S, S^12 ] CH89.51 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ R * S^-1 * R^-2 * S^3, S * R^-1 * S^-1 * R^-1 * S * R * S, R^10 ] CH89.52 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ S * R * S^-1 * R^-1 * S * R^-1 * S, S^-2 * R^3 * S^-1 * R^-1 * S^-1, R^10 ] CH89.53 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-1 * S * R^3 * S^3, R^10 ] CH89.54 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ R * S * R^-2 * S^-3, R * S^-2 * R^-1 * S * R^-1 * S^-1, R^10 ] CH89.55 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ R^-4 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-2 * S^-1 * R^-2 * S^-2 * R * S ] CH89.56 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ R^-4 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ] CH89.57 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ S^-1 * R^-3 * S^-1 * R^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^10 ] CH89.58 : Type {10,20,20} Order 220 Defining relations for automorphism group: [ S^-1 * R^-3 * S^-1 * R^2, S * R * S^-1 * R^-1 * S * R * S, R^10 ] CH89.59 : Type {14,14,14} Order 224 Defining relations for automorphism group: [ (R * S * R)^2, S^2 * R^3 * S^-1 * R * S, (R^-1, S^-1)^2, (R * S^-3)^2 ] CH89.60 : Type {14,14,14} Order 224 Defining relations for automorphism group: [ (R * S^-1 * R)^2, R * S * R^3 * S^-3, (R^-1, S^-1)^2, (R^-1 * S^-3)^2 ] CH89.61 : Type {24,48,48} Order 192 Defining relations for automorphism group: [ R * S^-1 * R^3 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-7 * S^-3 * R^-1 * S^-1 ] CH90.1 : Type {3,3,181} Order 543 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R ] CH90.2 : Type {4,4,91} Order 364 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R * S * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R ] CH90.3 : Type {4,20,65} Order 260 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-2 ] CH90.4 : Type {5,5,61} Order 305 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^-2 * S * R * S * R ] CH90.5 : Type {5,5,61} Order 305 Defining relations for automorphism group: [ R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^2 * R^2 * S * R * S ] CH90.6 : Type {9,9,14} Order 252 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 ] CH90.7 : Type {11,20,20} Order 220 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^5 * S^-1 * R^-1 * S, S^20 ] CH90.8 : Type {11,20,20} Order 220 Defining relations for automorphism group: [ S * R^3 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^20 ] CH90.9 : Type {11,20,20} Order 220 Defining relations for automorphism group: [ S * R^3 * S^-1 * R, R^-4 * S * R^-1 * S^-1, S^20 ] CH90.10 : Type {11,20,20} Order 220 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, R^5 * S^-1 * R * S, S^20 ] CH90.11 : Type {12,12,19} Order 228 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R, R^12 ] CH90.12 : Type {12,12,19} Order 228 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R^4 * S * R^-2, S^2 * R * S * R^2 * S * R * S * R, R^12 ] CH90.13 : Type {16,16,52} Order 208 Defining relations for automorphism group: [ R^5 * S^-1 * R * S^-1, S * R^4 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-2 ] CH91.1 : Type {3,3,18} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S * R ] CH91.2 : Type {3,3,18} Order 648 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH91.3 : Type {3,3,63} Order 567 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R ] CH91.4 : Type {3,3,63} Order 567 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH91.5 : Type {3,3,183} Order 549 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH91.6 : Type {3,6,42} Order 378 Defining relations for automorphism group: [ R^-3, S^6, (S^-1 * R^-1 * S^-1)^3, S^-3 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R ] CH91.7 : Type {3,6,42} Order 378 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R ] CH91.8 : Type {3,6,122} Order 366 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R ] CH91.9 : Type {3,8,8} Order 432 Defining relations for automorphism group: [ R^-3, S^8, S^-1 * R^-1 * S^-2 * R^-1 * S * R * S^-2, (S * R^-1 * S)^3 ] CH91.10 : Type {3,8,8} Order 432 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^8, S^2 * R * S^2 * R^-1 * S^-2 * R^2 * S^-2 * R^-1 * S^3 * R * S ] CH91.11 : Type {3,8,8} Order 432 Defining relations for automorphism group: [ R^-3, (R^-1 * S^-3)^2, S^8, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S ] CH91.12 : Type {3,13,13} Order 351 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^3 * R, S^-13 ] CH91.13 : Type {3,13,13} Order 351 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S, S^-13 ] CH91.14 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH91.15 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 ] CH91.16 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 * R * S^2 * R ] CH91.17 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R * S * R * S^-1 ] CH91.18 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^-2 * S * R * S * R^-1 * S * R * S * R^-1 * S * R^-2 * S * R^-1 ] CH91.19 : Type {4,4,4} Order 720 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-1 ] CH91.20 : Type {4,4,6} Order 540 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH91.21 : Type {4,4,6} Order 540 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S, S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1, S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R ] CH91.22 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S * R^-2 * S^-1 * R^2 * S^2 * R * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S ] CH91.23 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R * S * R^-2 * S^-1 * R^2 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S ] CH91.24 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S * R^-1 * S * R * S^-1 ] CH91.25 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1, R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R * S^-1 ] CH91.26 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 ] CH91.27 : Type {4,4,12} Order 432 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, (R * S^-1)^4, R^-1 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 ] CH91.28 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH91.29 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S^-1 * R * S ] CH91.30 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S^-1 * R ] CH91.31 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^2 * R^-1 ] CH91.32 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S * R^-1 * S^-1)^2, (R * S^-1)^4, S * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S * R ] CH91.33 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH91.34 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S * R^-1 * S^-1 ] CH91.35 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH91.36 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R * S^-1 ] CH91.37 : Type {4,4,20} Order 400 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 ] CH91.38 : Type {4,4,38} Order 380 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S ] CH91.39 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ R^4, (S^-1 * R)^3, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R * S * R * S^-1 * R^2 * S^2 * R * S ] CH91.40 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ R^4, (S^-1 * R)^3, S^6, S^2 * R * S^-1 * R * S^2 * R, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH91.41 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ R^4, S^6, S * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S * R, (S^-1 * R^-1 * S^-1)^3, S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-2 ] CH91.42 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] CH91.43 : Type {4,6,6} Order 432 Defining relations for automorphism group: [ R^4, S^6, S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2 ] CH91.44 : Type {4,6,12} Order 360 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S^3 ] CH91.45 : Type {4,6,12} Order 360 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH91.46 : Type {4,6,12} Order 360 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH91.47 : Type {4,8,8} Order 360 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-1 ] CH91.48 : Type {4,8,8} Order 360 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] CH91.49 : Type {4,8,8} Order 360 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^-1 * S * R^-1 * S, S * R * S^-2 * R^-1 * S^3 * R^-1 ] CH91.50 : Type {4,8,8} Order 360 Defining relations for automorphism group: [ R^4, S^8, S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1, R * S^-3 * R^-1 * S^-2 * R * S^-1 ] CH91.51 : Type {4,8,8} Order 360 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^-1 * S^-2 * R, S * R * S^-2 * R^-1 * S * R * S^2 ] CH91.52 : Type {4,8,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S ] CH91.53 : Type {4,8,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S ] CH91.54 : Type {4,8,16} Order 320 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S ] CH91.55 : Type {4,8,16} Order 320 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-3 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH91.56 : Type {4,12,15} Order 300 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-2 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH91.57 : Type {4,14,28} Order 280 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, S^14 ] CH91.58 : Type {4,16,16} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-2 ] CH91.59 : Type {4,16,16} Order 288 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R * S^-2 ] CH91.60 : Type {4,26,52} Order 260 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, S^-4 * R * S^-1 * R^-1 * S^-1 * R^2 * S^-7 ] CH91.61 : Type {6,12,28} Order 252 Defining relations for automorphism group: [ R^6, S * R * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-1 * R^3 * S * R^-2 ] CH91.62 : Type {6,24,24} Order 240 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH91.63 : Type {6,24,24} Order 240 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH91.64 : Type {8,8,8} Order 288 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R * S * R^2 * S^2 * R^-1 ] CH91.65 : Type {8,8,8} Order 288 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1 ] CH91.66 : Type {8,8,8} Order 288 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-2 * R^-1 ] CH91.67 : Type {8,8,8} Order 288 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^2 * R^-1 ] CH91.68 : Type {8,12,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^8, R^-1 * S^-1 * R^4 * S * R^-3, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S^-1 * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH91.69 : Type {8,12,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, R^8, R^-1 * S^-1 * R^4 * S * R^-3, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S^-1 * R^3 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S^-1 * R^2 * S * R^2 * S ] CH91.70 : Type {9,24,72} Order 216 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^24 ] CH91.71 : Type {12,12,12} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^4 * S^-3, (R * S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH91.72 : Type {12,12,12} Order 240 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, S^-1 * R^4 * S^-3, (R * S^-1)^4, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1, R^12 ] CH91.73 : Type {12,18,36} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R * S^-1 * R^-1 * S^-3, R^12 ] CH91.74 : Type {12,24,24} Order 216 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-3 * S^3 * R^-1 ] CH91.75 : Type {12,24,24} Order 216 Defining relations for automorphism group: [ S^-2 * R^-2 * S * R * S^-1, S * R^-1 * S^-1 * R^-1 * S^-2 * R, R^-12 ] CH91.76 : Type {18,18,18} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S * R^2, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, R^-1 * S^-3 * R * S^3, R * S^-1 * R^-3 * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-4 ] CH91.77 : Type {18,18,18} Order 216 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-4 * S^-1 * R^-1 * S^-1 * R^-1, S^-1 * R^-1 * S * R^-2 * S^-1 * R^-1 * S * R ] CH91.78 : Type {20,40,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, R * S^-4 * R^6 * S^-4 * R ] CH91.79 : Type {20,40,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, R^-1 * S * R^-1 * S^2 * R^-7 * S^-1 ] CH91.80 : Type {20,40,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R * S^-1 * R^-1 * S^-3 * R, R^6 * S^4 ] CH91.81 : Type {20,40,40} Order 200 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-8 * S^-1 * R^-12 * S ] CH91.82 : Type {63,63,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-6 * S^-3, S^-3 * R * S^-1 * R^2 * S^-5 ] CH91.83 : Type {63,63,63} Order 189 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S * R^-1 * S^2, S^2 * R * S^2 * R^2 * S^5 ] CH92.1 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH92.2 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S * R * S * R^-1 * S^-1 * R * S^2 * R * S ] CH92.3 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^2 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^2 * R * S^-1 ] CH92.4 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R ] CH92.5 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-3 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 ] CH92.6 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S * R * S ] CH92.7 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 ] CH92.8 : Type {3,6,6} Order 546 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^2 * R * S^-3 * R^-1 * S^-1 ] CH92.9 : Type {3,24,24} Order 312 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-5 ] CH92.10 : Type {3,24,24} Order 312 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-3 * R * S^-1 * R * S^-4, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 * S^-1 ] CH92.11 : Type {3,24,24} Order 312 Defining relations for automorphism group: [ R^-3, R^-1 * S^-3 * R^-1 * S^2 * R^-1 * S, R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R * S, S^-3 * R^-1 * S^-1 * R^-1 * S^-3 * R * S^-1 ] CH92.12 : Type {3,42,42} Order 294 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^-1 * S^3 * R^-1, S^-6 * R * S^-1 * R * S^-7 ] CH92.13 : Type {3,42,42} Order 294 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^2 * R, S^-4 * R^-1 * S^-2 * R * S^-1 * R^-1 * S^-7 ] CH92.14 : Type {4,6,24} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R^-1 * S^-1 * R * S^3 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^2 ] CH92.15 : Type {4,6,24} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 ] CH92.16 : Type {4,12,12} Order 312 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R * S^-1 ] CH92.17 : Type {5,48,48} Order 240 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^48 ] CH92.18 : Type {6,6,8} Order 336 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S^6, S * R * S * R^2 * S * R * S, S^-1 * R * S^-2 * R^2 * S^2 * R * S^-1, R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH92.19 : Type {6,6,12} Order 312 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^3 * S^-1 * R * S * R ] CH92.20 : Type {6,6,12} Order 312 Defining relations for automorphism group: [ R^6, (R * S * R)^2, S^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 ] CH92.21 : Type {6,6,12} Order 312 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R * S^-1 ] CH92.22 : Type {6,6,21} Order 294 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S * R^-1 * S * R^2 * S * R * S, S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R ] CH92.23 : Type {6,6,21} Order 294 Defining relations for automorphism group: [ R^6, (R * S * R)^2, (R^-1 * S^-2)^2, S^-1 * R * S^-2 * R^3 * S^-1 * R * S^-2 * R, S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 ] CH92.24 : Type {6,18,18} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH92.25 : Type {6,18,18} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^3 * R^2 * S^3, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH92.26 : Type {9,18,18} Order 234 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S^-2 * R^-3 * S^-4, S * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R ] CH92.27 : Type {9,18,18} Order 234 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-9 ] CH92.28 : Type {9,18,18} Order 234 Defining relations for automorphism group: [ (R * S * R)^2, R^-4 * S * R^-1 * S, S^-2 * R^-3 * S^-4, S * R * S^2 * R^-1 * S^-1 * R^-1 * S^-3 * R * S ] CH92.29 : Type {9,18,18} Order 234 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, S^2 * R * S^-1 * R * S^3, R^-9, R^-1 * S^-3 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 ] CH92.30 : Type {10,20,44} Order 220 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^2 * R^3 * S * R * S ] CH92.31 : Type {10,20,44} Order 220 Defining relations for automorphism group: [ S^2 * R^-2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-2 * R * S^-1 * R^-1 * S^-3 * R^-1 ] CH92.32 : Type {15,30,30} Order 210 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^2 * S^-2 * R, R^-1 * S^-2 * R^2 * S^-1 * R * S, S^-2 * R^-9 * S^-4 ] CH92.33 : Type {15,30,30} Order 210 Defining relations for automorphism group: [ S * R * S^-1 * R^-1 * S * R * S, R * S^-2 * R^-1 * S * R^-1 * S^-1, R^3 * S^-1 * R^-3 * S, S * R^-3 * S^-1 * R^-12 ] CH92.34 : Type {15,30,30} Order 210 Defining relations for automorphism group: [ (R * S * R)^2, R^5 * S * R^-1 * S, S^2 * R^-3 * S^4, (S * R^-1 * S)^3, S^-2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH92.35 : Type {15,30,30} Order 210 Defining relations for automorphism group: [ S^-1 * R^-2 * S^-1 * R, S^2 * R * S^-1 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1, R^-15 ] CH93.1 : Type {3,12,28} Order 336 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^12, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R * S^-2 * R^-1 ] CH93.2 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-2 * R * S * R^-1 ] CH93.3 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, S^2 * R * S^-1 * R^2 * S^3 * R, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH93.4 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, S^2 * R * S^-1 * R^2 * S^3 * R, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R * S^-1 ] CH93.5 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 ] CH93.6 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R * S^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R * S * R * S * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH93.7 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^8, S^2 * R * S^-1 * R^2 * S^3 * R, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^2 * R^-1 ] CH93.8 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, (R^-1 * S^-3)^2, S^8, S^-1 * R * S * R * S * R * S * R^-2 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 ] CH93.9 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, (R^-1 * S^-3)^2, S^8, S^-1 * R * S * R * S * R * S * R^-2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH93.10 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R * S^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R * S * R^-2 * S^-2 * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH93.11 : Type {4,8,20} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1 * R^-1 * S^-1)^2, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-1 ] CH93.12 : Type {4,18,18} Order 288 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S^2 * R, S^18 ] CH93.13 : Type {4,64,64} Order 256 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^8 * R * S^3 * R^-1 * S^5 ] CH93.14 : Type {7,33,33} Order 231 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^3 * S^-1 * R, S^-33 ] CH93.15 : Type {8,8,32} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, (R * S^-2)^2, R^8, S^8, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 * S^-1 ] CH93.16 : Type {8,8,32} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, (R^-1 * S^-2)^2, R^8, S^8, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R * S ] CH93.17 : Type {8,8,32} Order 256 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R * S^-1 ] CH93.18 : Type {8,8,32} Order 256 Defining relations for automorphism group: [ R^8, S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S * R * S ] CH93.19 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S^2 * R^-2 * S * R^-1 * S, R^-2 * S^-1 * R^-2 * S * R^2 * S^-1 ] CH93.20 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S * R^-1 * S * R^2 * S^-2 * R^-1, S^-2 * R^-1 * S^-1 * R * S^-2 * R, R^-5 * S^-1 * R^-1 * S^-2, R * S^-1 * R^-3 * S * R^-1 * S^-1 * R ] CH93.21 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S^-1 * R^4 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^2 * S^-3, R^-1 * S^-1 * R^-3 * S * R^2 * S^-1 ] CH93.22 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ R * S^-1 * R^-2 * S * R^-1 * S^-1, R^-1 * S * R^-3 * S * R * S^2 ] CH93.23 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ R * S^-1 * R^-2 * S^-1 * R^-1 * S, S^-2 * R^3 * S^-1 * R^2 ] CH93.24 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S * R^-1 * S * R^2 * S^-2 * R^-1, R * S * R^-1 * S^-1 * R^-1 * S^3, S * R^-4 * S^-1 * R^-1 * S * R ] CH93.25 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S^-2 * R^2 * S^-1 * R^-1, S * R^-4 * S * R * S^-1 * R^-1 ] CH93.26 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ R^-1 * S * R^-2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^3 * S^-2 * R^-1 ] CH93.27 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S^-1 * R^-3 * S^2 * R^-1, R^-1 * S * R^-2 * S^-3 ] CH93.28 : Type {11,11,11} Order 253 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, R^-2 * S^-1 * R^2 * S^-1 * R * S^-1 ] CH93.29 : Type {12,12,15} Order 240 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S^-1 * R^5 * S * R^2 * S^-1 ] CH93.30 : Type {12,12,38} Order 228 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^12, S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S ] CH93.31 : Type {12,12,38} Order 228 Defining relations for automorphism group: [ (S^-1 * R)^3, S * R^4 * S * R^-2, R * S^-1 * R^3 * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^4 * S^-1 * R^-1 * S^-2 * R^-1 ] CH94.1 : Type {3,3,6} Order 1116 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R * S^-1)^3, (R^-1 * S^-1 * R^-1 * S)^3, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R ] CH94.2 : Type {3,5,15} Order 465 Defining relations for automorphism group: [ R^-3, S^-5, R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-2 * R^-1 ] CH94.3 : Type {3,5,15} Order 465 Defining relations for automorphism group: [ R^-3, S^-5, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S ] CH94.4 : Type {3,5,15} Order 465 Defining relations for automorphism group: [ R^-3, S^-5, R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S ] CH94.5 : Type {3,5,15} Order 465 Defining relations for automorphism group: [ R^-3, S^-5, S * R * S * R^-1 * S^-1 * R^-1 * S^-2 * R * S, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] CH94.6 : Type {3,6,6} Order 558 Defining relations for automorphism group: [ R^-3, S^6, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R * S^-3 * R^-1 * S^-1 * R^-1 * S^3 * R * S, R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-2 ] CH94.7 : Type {3,6,6} Order 558 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R^-1 * S * R^-1 * S * R^-1 ] CH94.8 : Type {3,6,6} Order 558 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R * S * R^-1 * S^-1 * R * S * R^-1 ] CH94.9 : Type {3,6,6} Order 558 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (S * R^-1 * S)^3, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^2 * R * S^-2 ] CH94.10 : Type {3,6,6} Order 558 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 * R * S^2 * R * S^2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 ] CH94.11 : Type {3,12,12} Order 372 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH94.12 : Type {3,12,12} Order 372 Defining relations for automorphism group: [ R^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^3, S * R * S^2 * R * S^2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1 * R^-1 * S^2 ] CH94.13 : Type {3,15,105} Order 315 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S * R^-1, S^-15 ] CH94.14 : Type {4,4,95} Order 380 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R^-1 * S * R * S * R * S * R^-1 * S^-1 ] CH94.15 : Type {4,6,12} Order 372 Defining relations for automorphism group: [ R^4, S^-1 * R^-2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R * S^-1 ] CH94.16 : Type {4,52,65} Order 260 Defining relations for automorphism group: [ R^4, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S * R * S^-1 * R^2 * S^-1 * R * S, S^-4 * R * S^-3 * R^2 * S^-6 ] CH94.17 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 * R ] CH94.18 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ (R * S^-1)^2, R^-5, S * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^2 ] CH94.19 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 ] CH94.20 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ (R * S^-1)^2, R^-5, (R * S^3 * R)^2, (R^-1 * S^-2 * R^-1 * S^-1)^2, S^-3 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 ] CH94.21 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, S^-1 * R^-1 * S^-1 * R^-2 * S^2 * R^-2, S * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S * R^-1, S * R^-1 * S^-2 * R^-1 * S^-2 * R * S ] CH94.22 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, S * R * S^-1 * R^-1 * S^-2 * R^-1, S^-1 * R^-1 * S^-1 * R^-2 * S^2 * R^-2 ] CH94.23 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, (R * S^-1 * R)^2, (R * S^-3)^2, S * R^-1 * S^-2 * R^-1 * S^-2 * R * S ] CH94.24 : Type {5,10,10} Order 310 Defining relations for automorphism group: [ R^-5, (R * S^-1 * R)^2, (R * S^-3)^2, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH94.25 : Type {6,6,6} Order 372 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] CH94.26 : Type {6,6,6} Order 372 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, (R * S * R)^2, S^6, S * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^2 * S^3 * R * S * R * S^-1 * R^-1 * S ] CH94.27 : Type {6,12,84} Order 252 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-2 * R^-3 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2 * R^-1 ] CH94.28 : Type {9,9,9} Order 279 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-9, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R^-1 * S * R ] CH94.29 : Type {9,18,26} Order 234 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-9 ] CH94.30 : Type {9,72,72} Order 216 Defining relations for automorphism group: [ S * R^-2 * S^-1 * R^-1, R^-4 * S * R * S^-1, S^12 * R * S^2 * R^-1 * S^10 ] CH94.31 : Type {12,36,36} Order 216 Defining relations for automorphism group: [ R * S^-1 * R^3 * S * R^2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-2 * R^-1 * S^-1 * R * S^-3 ] CH94.32 : Type {15,30,70} Order 210 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-5 * S^2 * R^-1 * S^-1 * R^-1 ] CH94.33 : Type {15,30,70} Order 210 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S * R * S, S * R * S^-1 * R^-1 * S^2 * R^-1, R^3 * S * R^3 * S * R * S * R^4 * S * R^2 ] CH94.34 : Type {15,30,70} Order 210 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R * S^-2 * R^2 * S^-1 * R * S, S^-2 * R^-3 * S^-4 ] CH94.35 : Type {18,18,36} Order 216 Defining relations for automorphism group: [ S * R^4 * S^-1 * R^2, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, (S, R^-1, S), S^-1 * R * S^-2 * R^-1 * S^-3 ] CH94.36 : Type {18,18,36} Order 216 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (R^-2 * S^-1)^3, S * R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 * R ] CH94.37 : Type {18,24,24} Order 216 Defining relations for automorphism group: [ R^5 * S * R^-1 * S^-1, S * R^4 * S^-1 * R^-2, S^-4 * R^-1 * S^-2 * R^-2 * S^-6 ] CH94.38 : Type {18,24,24} Order 216 Defining relations for automorphism group: [ R * S * R^-2 * S^3, R * S^-1 * R^3 * S * R^2 ] CH95.1 : Type {4,10,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-2 * R * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 ] CH95.2 : Type {4,10,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^-2 * R^-1, S^-1 * R^-1 * S^-2 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R * S ] CH95.3 : Type {8,20,24} Order 240 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R * S * R)^2, R^8, R * S^-2 * R^3 * S^-4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] CH95.4 : Type {8,20,24} Order 240 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R * S * R)^2, R^8, R * S^-2 * R^3 * S^-4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R * S ] CH95.5 : Type {12,12,20} Order 240 Defining relations for automorphism group: [ S * R^4 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^2 * R, S^-1 * R^8 * S^-3 ] CH95.6 : Type {12,12,20} Order 240 Defining relations for automorphism group: [ S * R^4 * S^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^12 ] CH95.7 : Type {20,20,22} Order 220 Defining relations for automorphism group: [ S^2 * R^3 * S * R * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R * S, S^-1 * R^5 * S^-4 ] CH95.8 : Type {20,20,22} Order 220 Defining relations for automorphism group: [ S^2 * R^3 * S^-1 * R^-1 * S, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^5 * S^-4 ] CH95.9 : Type {20,20,22} Order 220 Defining relations for automorphism group: [ S^2 * R^3 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^2 * R^2 * S * R * S, S^-1 * R^5 * S^-2 * R^2 ] CH95.10 : Type {20,20,22} Order 220 Defining relations for automorphism group: [ R * S * R^3 * S^3, S * R^-1 * S^-1 * R^2 * S * R * S, R^6 * S^-1 * R * S^-2 ] CH96.1 : Type {3,3,98} Order 588 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S * R * S * R * S ] CH96.2 : Type {3,3,193} Order 579 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH96.3 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, S^-2 * R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1, S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH96.4 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, R * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-2 ] CH96.5 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-2, R^-1 * S^2 * R^-1 * S^-1 * R * S * R * S^-2 ] CH96.6 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, (R * S^-3)^2, (R^-1 * S^-2 * R^-1 * S^-1)^2, S * R * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] CH96.7 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, (R * S^-3)^2, (R^-1 * S^-2 * R^-1 * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2 ] CH96.8 : Type {3,18,18} Order 342 Defining relations for automorphism group: [ R^-3, (R * S^-3)^2, S^-2 * R * S^-1 * R^-1 * S^-3 * R^-1 ] CH96.9 : Type {4,4,97} Order 388 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 ] CH96.10 : Type {4,6,6} Order 456 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, R^-1 * S^-3 * R^-1 * S^3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^2 * R * S^-1 * R * S ] CH96.11 : Type {4,12,30} Order 300 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R * S^-2 * R^2 * S^-2 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R ] CH96.12 : Type {4,15,20} Order 300 Defining relations for automorphism group: [ R^4, (S, R^-1, S), S^-1 * R^-1 * S^-1 * R^-2 * S^-3 * R^-1 ] CH96.13 : Type {5,12,12} Order 300 Defining relations for automorphism group: [ R^-5, S * R * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R * S^-1, S^12 ] CH96.14 : Type {5,12,12} Order 300 Defining relations for automorphism group: [ R^-5, S^-1 * R * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R * S, S^12 ] CH96.15 : Type {5,50,50} Order 250 Defining relations for automorphism group: [ R^-5, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-3 * R * S^-2 * R^-1 * S^-5 ] CH96.16 : Type {5,50,50} Order 250 Defining relations for automorphism group: [ R^-5, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-4 * R * S^-1 * R^-1 * S^-5 ] CH96.17 : Type {6,6,49} Order 294 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, R * S * R^2 * S^2 * R * S * R^2 * S^2 * R^2 * S^2 ] CH96.18 : Type {6,6,49} Order 294 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S * R * S ] CH96.19 : Type {9,9,42} Order 252 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-2 * S * R * S * R * S * R ] CH96.20 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R^-1 * S^-2)^2, S^2 * R^3 * S^2 * R^-1, R^10, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R ] CH96.21 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ (R * S^-1 * R)^2, (R^-1 * S^-2)^2, S^2 * R^3 * S^2 * R^-1, R^10, S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH96.22 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^10, R^-1 * S^-1 * R^4 * S * R^-1 * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH96.23 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ S^-2 * R^3 * S^-2 * R, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^10, R^-1 * S^-1 * R^4 * S * R^-1 * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R ] CH96.24 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ S^2 * R^3 * S^2 * R, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, R^-1 * S^-1 * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH96.25 : Type {10,10,25} Order 250 Defining relations for automorphism group: [ S^2 * R^3 * S^2 * R, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, R^-1 * S^-1 * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 ] CH96.26 : Type {13,18,18} Order 234 Defining relations for automorphism group: [ S^-1 * R^3 * S * R^-1, R^-4 * S^-1 * R^-1 * S, S^18 ] CH96.27 : Type {13,18,18} Order 234 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, R^-4 * S^-1 * R * S, S^18 ] CH96.28 : Type {30,30,35} Order 210 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R * S^-2 * R^2 * S^-1 * R * S, S^2 * R * S * R^2 * S * R * S * R ] CH96.29 : Type {30,30,35} Order 210 Defining relations for automorphism group: [ S^-1 * R^3 * S^-2, (S^-1 * R)^3, S^2 * R * S * R^2 * S * R * S * R ] CH96.30 : Type {30,30,35} Order 210 Defining relations for automorphism group: [ (R * S^-2)^2, R^-1 * S^-1 * R^3 * S^-3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R * S^-1 * R ] CH96.31 : Type {30,30,35} Order 210 Defining relations for automorphism group: [ (S^-1 * R)^3, S^-1 * R^4 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, (R * S * R^3)^2 ] CH97.1 : Type {3,3,6} Order 1152 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1, R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] CH97.2 : Type {3,3,12} Order 768 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R, S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 ] CH97.3 : Type {3,4,4} Order 1152 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-1, R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R * S^2 ] CH97.4 : Type {3,4,6} Order 768 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S ] CH97.5 : Type {3,4,6} Order 768 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, (R^-1 * S^-1)^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^2 * S * R * S * R^-1 * S * R * S^-1 * R^-1 ] CH97.6 : Type {3,4,12} Order 576 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 ] CH97.7 : Type {3,4,12} Order 576 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 ] CH97.8 : Type {3,4,12} Order 576 Defining relations for automorphism group: [ R^-3, S^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1, (R, S)^3 ] CH97.9 : Type {3,4,12} Order 576 Defining relations for automorphism group: [ R^-3, S^4, S * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R, (R, S)^3 ] CH97.10 : Type {3,4,12} Order 576 Defining relations for automorphism group: [ R^-3, S^4, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S ] CH97.11 : Type {3,6,6} Order 576 Defining relations for automorphism group: [ R^-3, S^6, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-2, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R^-1 * S)^3 ] CH97.12 : Type {3,6,6} Order 576 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-2, R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2 ] CH97.13 : Type {3,6,6} Order 576 Defining relations for automorphism group: [ R^-3, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] CH97.14 : Type {3,6,6} Order 576 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-2 * R^-1 * S^-1)^2, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S ] CH97.15 : Type {3,6,6} Order 576 Defining relations for automorphism group: [ R^-3, S^6, (R * S^-1)^4, (R * S^2 * R * S^-1)^2, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1, R^-1 * S^-3 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 ] CH97.16 : Type {3,8,24} Order 384 Defining relations for automorphism group: [ R^-3, S^8, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-4 * R * S^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S * R^-1 ] CH97.17 : Type {3,8,24} Order 384 Defining relations for automorphism group: [ R^-3, S^8, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S^-4 * R * S^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 ] CH97.18 : Type {3,9,9} Order 432 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-9, R^-1 * S^-1 * R * S^2 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S ] CH97.19 : Type {3,9,117} Order 351 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^2 * R^-1 ] CH97.20 : Type {3,9,117} Order 351 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-2 * R ] CH97.21 : Type {3,9,117} Order 351 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-9, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 ] CH97.22 : Type {3,12,12} Order 384 Defining relations for automorphism group: [ R^-3, (R * S^-1)^4, S^2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH97.23 : Type {3,12,12} Order 384 Defining relations for automorphism group: [ R^-3, S^2 * R^-1 * S^-1 * R^-1 * S * R * S^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 ] CH97.24 : Type {3,24,104} Order 312 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-5 ] CH97.25 : Type {3,27,27} Order 324 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-4 ] CH97.26 : Type {3,99,99} Order 297 Defining relations for automorphism group: [ R^-3, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-17 * R * S^-2 * R^-1 * S^-14 ] CH97.27 : Type {4,4,5} Order 640 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R^-1)^5, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R^-1, R * S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-1 * R * S^-1 ] CH97.28 : Type {4,4,5} Order 640 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, (S^-1 * R^-1)^5, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R ] CH97.29 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S ] CH97.30 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S ] CH97.31 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S * R^-1 * S^-1 * R^2 * S^2 * R * S * R^-1 ] CH97.32 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R^-1 ] CH97.33 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S ] CH97.34 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 * S, S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S^-1 * R^-1, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH97.35 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, R^-1 * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1, S * R * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH97.36 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R * S^-1 * R^-1 * S^2 * R * S, S * R * S * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S * R^-1 * S^-1 * R * S^-1 * R^2 * S^2 * R * S^-1 * R ] CH97.37 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH97.38 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S^-2 * R^-2 * S^-1 * R^2 * S * R^-1 * S^2 * R ] CH97.39 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1)^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R * S * R^-2 * S^-1 * R^2 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] CH97.40 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S * R^-1 * S^-1)^2, S^-2 * R^-2 * S^-1 * R^2 * S * R * S^2 * R^-1 ] CH97.41 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^2, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^2 * R ] CH97.42 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH97.43 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^2 ] CH97.44 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S^-1 * R, R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^2 ] CH97.45 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R * S^-1 * R, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R * S^2 ] CH97.46 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-2 * R * S^2 * R * S^2 ] CH97.47 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S^-1 ] CH97.48 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S * R * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S * R ] CH97.49 : Type {4,4,8} Order 512 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, R^-1 * S * R^-2 * S^-1 * R^2 * S * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R^-1 * S^2 ] CH97.50 : Type {4,4,26} Order 416 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^2 * S^-1 * R^-1 * S ] CH97.51 : Type {4,4,50} Order 400 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-2 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-2 * R * S * R * S * R * S * R^-1 ] CH97.52 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH97.53 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^-1 * R^-2 * S * R * S^-1 * R^2 ] CH97.54 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1, (S^-1 * R^-1 * S^-1)^3 ] CH97.55 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R^-1 * S^-1 * R^-2 * S^-1 * R * S^-2 * R^-1 ] CH97.56 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S ] CH97.57 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH97.58 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1 ] CH97.59 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2, S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH97.60 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R * S^-2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH97.61 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH97.62 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH97.63 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1 ] CH97.64 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH97.65 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH97.66 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH97.67 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-3 * R^2 * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S^3 ] CH97.68 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R^-1 * S^-2 ] CH97.69 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, (R^-1 * S * R^-1 * S^-1)^2, (R^-1, S^-1)^2, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH97.70 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH97.71 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH97.72 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 * R * S ] CH97.73 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^6, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2 * R^-1 * S ] CH97.74 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] CH97.75 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, (R^-1 * S^-2 * R^-1 * S^-1)^2 ] CH97.76 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^2 * S^-2 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 ] CH97.77 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R * S^-2 ] CH97.78 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S^-3 * R^-1 * S^3 ] CH97.79 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1 ] CH97.80 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R^-1 * S^3, S^-1 * R^-2 * S^-1 * R^2 * S^2 * R^2, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH97.81 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-3 * R^2 * S^3 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2, S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S^3 ] CH97.82 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S * R^2 * S^-1 * R * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^-1 * S^-1 * R * S ] CH97.83 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-3 * R * S^3, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R^-1 * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S ] CH97.84 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, R^-2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH97.85 : Type {4,6,12} Order 384 Defining relations for automorphism group: [ R^4, S^6, S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1, R^-1 * S * R * S^-1 * R^-1 * S * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S^-2 * R^-1 * S * R^-1 ] CH97.86 : Type {4,8,40} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R^-1 * S * R^-1 * S^-1)^2, S * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH97.87 : Type {4,8,40} Order 320 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R^-1 * S * R^-1 * S^-1)^2, S^-1 * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH97.88 : Type {4,8,40} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^8, S^-1 * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH97.89 : Type {4,8,40} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^8, S * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH97.90 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^-2 * S * R * S * R^-1, R * S^-2 * R^-2 * S^-2 * R * S, S * R^-1 * S^-2 * R^2 * S * R^-1 * S * R^-1 ] CH97.91 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, R * S^-2 * R^2 * S^-1 * R^-1 * S, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R ] CH97.92 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ (R * S^-1)^2, R^6, S^6, S^-1 * R^-1 * S^-1 * R^3 * S * R * S^-2 ] CH97.93 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S^-1 * R^3 * S^2 * R^-1 * S^-1, S^-1 * R * S * R^3 * S^-1 * R^-1 * S^-2 ] CH97.94 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, S * R * S^-1 * R^2 * S^2 * R, R^-1 * S^2 * R^2 * S * R * S, (R * S^-1)^4 ] CH97.95 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, S * R * S^-1 * R^2 * S^2 * R, R^-1 * S^2 * R^2 * S * R * S, S^-3 * R^3 * S^-1 * R * S^-1 * R ] CH97.96 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, R * S^-2 * R^2 * S^-1 * R^-1 * S, R^-1 * S^2 * R^2 * S * R * S ] CH97.97 : Type {6,6,6} Order 384 Defining relations for automorphism group: [ R^6, S^6, S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1, S * R * S^-1 * R^2 * S^2 * R, R * S^-1 * R^-1 * S * R^2 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2 ] CH97.98 : Type {6,10,45} Order 270 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, S^-1 * R * S^-1 * R^3 * S^-1 * R^-1 * S^-2 ] CH97.99 : Type {8,8,12} Order 288 Defining relations for automorphism group: [ R^8, S^2 * R^3 * S * R * S, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] CH97.100 : Type {8,8,12} Order 288 Defining relations for automorphism group: [ R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S, (R * S^-1)^4 ] CH97.101 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, R * S^-2 * R^2 * S^2 * R, S^-1 * R * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, S^-3 * R^4 * S^-5 ] CH97.102 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R * S, R * S^-2 * R^2 * S^2 * R, S^-1 * R * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-3 * R^4 * S^-5 ] CH97.103 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S ] CH97.104 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S^-2 * R^-1 * S ] CH97.105 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R * S^-2 * R^2 * S^2 * R, S * R^-1 * S * R^2 * S * R * S, (R^-1, S^-1)^2 ] CH97.106 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-2 * R^2 * S^2 * R, S * R * S * R^2 * S * R^-1 * S, (R^-1 * S * R^-1 * S^-1)^2 ] CH97.107 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-2, S * R * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH97.108 : Type {8,16,16} Order 256 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-2, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R ] CH97.109 : Type {8,24,30} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3 ] CH97.110 : Type {8,24,30} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^-2 * R, S^-2 * R * S^-1 * R * S^-3 ] CH97.111 : Type {9,18,78} Order 234 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^2 * R^-3 * S^4, S^-1 * R^-1 * S * R^-2 * S^-1 * R^-1 * S^-1 * R^-1 ] CH97.112 : Type {9,18,78} Order 234 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^2 * R^-3 * S^4, S * R^-1 * S^-1 * R^-2 * S * R * S * R ] CH97.113 : Type {12,12,30} Order 240 Defining relations for automorphism group: [ (R * S^-1)^2, S^-1 * R^4 * S^-3, R^12, S * R * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH97.114 : Type {12,72,72} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^2 * R^-2 * S^4, R^12 ] CH97.115 : Type {12,72,72} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-2 * R^-2 * S^-4, R^12 ] CH97.116 : Type {14,28,28} Order 224 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R^-1 * S^-2 * R^2 * S * R^-1 * S, (R^-1 * S^-4)^2 ] CH97.117 : Type {14,28,28} Order 224 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R^-1 * S^-2 * R^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, (R * S^-4)^2 ] CH97.118 : Type {14,28,28} Order 224 Defining relations for automorphism group: [ (R^-1 * S^-2)^2, S^-2 * R^-2 * S * R * S^-1, R^14 ] CH97.119 : Type {15,15,15} Order 240 Defining relations for automorphism group: [ (R * S * R)^2, (R^-1, S^-1)^2, S * R^-4 * S^-1 * R * S^-1 * R, S^3 * R^-2 * S * R^-1 * S^2 ] CH97.120 : Type {18,24,72} Order 216 Defining relations for automorphism group: [ R^5 * S^-1 * R * S, S^-1 * R^4 * S * R^2, S^4 * R^-1 * S^2 * R^-2 * S^6 ] CH97.121 : Type {18,36,36} Order 216 Defining relations for automorphism group: [ R^5 * S * R * S^-1, S * R^4 * S^-1 * R^2, S^-5 * R * S^-1 * R^-1 * S^-6 ] CH97.122 : Type {24,24,36} Order 216 Defining relations for automorphism group: [ R * S * R^3 * S^-1 * R * S^-1, S^2 * R^3 * S^2 * R ] CH97.123 : Type {24,24,36} Order 216 Defining relations for automorphism group: [ S^-1 * R^4 * S^-1 * R^-2, S^-2 * R^3 * S^-2 * R, R * S * R^5 * S * R^3 * S ] CH97.124 : Type {24,24,36} Order 216 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^4 * S^-1 * R^-2, R * S^8 * R^13 * S^2 ] CH97.125 : Type {24,24,36} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S^-1 * R * S^-1, S^2 * R^3 * S^2 * R ] CH98.1 : Type {3,6,6} Order 582 Defining relations for automorphism group: [ R^-3, (R * S^-1)^2, S^6, S^-1 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-3 * R^-1 * S^-1 ] CH98.2 : Type {3,6,6} Order 582 Defining relations for automorphism group: [ R^-3, S^6, S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S * R^-1 * S * R^-1 * S * R * S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] CH98.3 : Type {15,16,16} Order 240 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R, S * R^-4 * S^-2 * R * S, S^16 ] CH99.1 : Type {3,3,6} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, (R^-1, S^-1)^4, S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S^-1 * R * S * R ] CH99.2 : Type {3,3,6} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R * S^-1)^4, (R^-1 * S^-1)^6, (R^-1, S^-1)^4, S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 * S * R ] CH99.3 : Type {3,3,6} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1, R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH99.4 : Type {3,3,6} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R^-1 * S)^3, (S^-1 * R)^7, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S ] CH99.5 : Type {3,3,6} Order 1176 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^6, (R^-1 * S^-1 * R^-1 * S)^3, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S, R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] CH99.6 : Type {3,3,52} Order 624 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R^-1 ] CH99.7 : Type {3,3,199} Order 597 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 ] CH99.8 : Type {3,4,12} Order 588 Defining relations for automorphism group: [ R^-3, S^4, (R * S^-1 * R^-1 * S^-1)^2, (R^-1 * S^-1 * R^-1 * S)^3, R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] CH99.9 : Type {3,4,12} Order 588 Defining relations for automorphism group: [ R^-3, S^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R * S * R^-1 * S * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R ] CH99.10 : Type {3,16,48} Order 336 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S, S^16 ] CH99.11 : Type {4,4,4} Order 784 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH99.12 : Type {4,4,4} Order 784 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^-1 ] CH99.13 : Type {4,4,6} Order 588 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R * S * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1 * S ] CH99.14 : Type {4,4,6} Order 588 Defining relations for automorphism group: [ R^4, S^4, (S^-1 * R)^3, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S * R * S^2 * R^-1 ] CH99.15 : Type {4,4,100} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, R * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S * R * S * R * S ] CH99.16 : Type {4,4,100} Order 400 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S * R * S^2 * R^-1 * S^-1 * R^-1 ] CH99.17 : Type {4,8,80} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, R^-2 * S^-1 * R^2 * S^-3, R^-1 * S * R^-1 * S * R * S * R * S * R * S * R * S * R * S * R * S * R * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S * R * S ] CH99.18 : Type {4,8,80} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S^8, R^-1 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-3 * R^-1 ] CH99.19 : Type {4,8,80} Order 320 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH99.20 : Type {4,12,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^12, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^2 ] CH99.21 : Type {4,12,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R * S^3, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1, S^12 ] CH99.22 : Type {4,12,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-3 * R^2 * S^-3, R^-1 * S^-3 * R^-1 * S^-1 * R * S^3 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^2 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^2 ] CH99.23 : Type {4,12,12} Order 336 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-3 * R^-1 * S^3, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, S^12 ] CH99.24 : Type {4,12,26} Order 312 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, (R^-1 * S^-3)^2, S^12, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R * S^-1 ] CH99.25 : Type {4,12,75} Order 300 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, S^-2 * R * S^-1 * R * S^-3, S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-2 * S^2 * R * S * R ] CH99.26 : Type {4,28,70} Order 280 Defining relations for automorphism group: [ R^4, S * R * S^-1 * R^2 * S^-1 * R * S, S * R * S * R^2 * S^-2 * R, S^-5 * R * S^-5 * R * S^-4 ] CH99.27 : Type {6,6,26} Order 312 Defining relations for automorphism group: [ R^6, S^-1 * R^3 * S^-2, (S^-1 * R)^3, R^-1 * S * R * S * R * S^-1 * R^-1 * S * R^-2 * S * R * S * R * S * R^-2 * S^-1 ] CH99.28 : Type {6,6,26} Order 312 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S * R^-1 * S^-1 * R * S^-1 * R^-1, (S * R * S * R * S^2 * R^2)^2 ] CH99.29 : Type {6,7,42} Order 294 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^3 * S * R^-2, (S, R^-1, S), S^-7, S^-2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH99.30 : Type {6,7,42} Order 294 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, S^-7 ] CH99.31 : Type {8,8,34} Order 272 Defining relations for automorphism group: [ R^8, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 ] CH99.32 : Type {8,8,34} Order 272 Defining relations for automorphism group: [ R^8, (R * S^-1 * R^2)^2, S * R^-1 * S^-1 * R^2 * S * R * S ] CH99.33 : Type {8,8,34} Order 272 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 * R^-2 * S^-1 ] CH99.34 : Type {8,8,34} Order 272 Defining relations for automorphism group: [ S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8, S^-1 * R * S * R * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH99.35 : Type {8,24,60} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, (R^-1 * S^-3)^2 ] CH99.36 : Type {8,24,60} Order 240 Defining relations for automorphism group: [ R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R * S * R^2 * S^-2 * R, (R^-1 * S^-3)^2 ] CH99.37 : Type {9,12,36} Order 252 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, S^-1 * R^-3 * S^-3, R^-9, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH99.38 : Type {9,12,36} Order 252 Defining relations for automorphism group: [ R^-1 * S^-2 * R * S^2, S * R^-3 * S^3, R^-9, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH99.39 : Type {10,24,24} Order 240 Defining relations for automorphism group: [ S^-1 * R^3 * S * R, S * R^3 * S^-1 * R^-1, S^24 ] CH99.40 : Type {10,24,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-2 * R^-1 * S^2, S^-1 * R^4 * S * R^-2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S, S^-2 * R^-1 * S^-3 * R^-1 * S^-1 * R^-2 * S^-6 ] CH99.41 : Type {11,11,23} Order 253 Defining relations for automorphism group: [ S * R^4 * S^2 * R^-1, S * R * S^-1 * R^2 * S^3, R^-1 * S^2 * R^2 * S * R * S^-1, R^-11 ] CH99.42 : Type {11,11,23} Order 253 Defining relations for automorphism group: [ R * S * R^3 * S^3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-2, S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1, R^-11 ] CH99.43 : Type {11,11,23} Order 253 Defining relations for automorphism group: [ R * S * R^3 * S^3, R^-2 * S^-1 * R^2 * S * R * S, R^-11 ] CH99.44 : Type {11,11,23} Order 253 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S * R^-1, S * R^5 * S * R^-1 * S^2, R^-11 ] CH99.45 : Type {11,11,23} Order 253 Defining relations for automorphism group: [ S^2 * R^3 * S^-1 * R^-2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1, R^-11 ] CH99.46 : Type {12,12,60} Order 240 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R * S * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S, R^12 ] CH99.47 : Type {12,12,60} Order 240 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^12 ] CH100.1 : Type {3,3,201} Order 603 Defining relations for automorphism group: [ R^-3, S^-3, (S^-1 * R)^3, S * R * S * R * S * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S * R * S * R^-1 * S^-1 * R * S * R * S * R * S * R ] CH100.2 : Type {3,6,134} Order 402 Defining relations for automorphism group: [ R^-3, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^2 * R^-1 ] CH100.3 : Type {3,27,54} Order 324 Defining relations for automorphism group: [ R^-3, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-4 ] CH100.4 : Type {3,36,36} Order 324 Defining relations for automorphism group: [ R^-3, R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-4 * R * S^-2 * R^-1 * S^-6 ] CH100.5 : Type {4,4,101} Order 404 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R * S * R * S^-2 * R^-1 * S^-1 ] CH100.6 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R * S^-1 * R^-1, R^-1 * S^-3 * R^2 * S^3 * R^-1, S^-3 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1 ] CH100.7 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S^-1 * R^-1, S^6, R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH100.8 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^-2, S^6, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R * S * R^-1 ] CH100.9 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S, R * S^-3 * R^2 * S^-1 * R * S^2 ] CH100.10 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, R * S^-3 * R^2 * S^-1 * R * S^2 ] CH100.11 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, S^6, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S, S^2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH100.12 : Type {4,6,8} Order 432 Defining relations for automorphism group: [ R^4, S^6, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S, S^2 * R^-1 * S^-1 * R^2 * S^3 * R^-1 ] CH100.13 : Type {4,9,36} Order 324 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^2 * R^-1 * S^-1 * R * S * R * S^-2, S^-9, S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^4 * R ] CH100.14 : Type {5,6,30} Order 330 Defining relations for automorphism group: [ R^-5, R^-1 * S^-2 * R * S^2, S^6, R * S^-1 * R^-1 * S^-1 * R^2 * S * R^-2 * S ] CH100.15 : Type {5,6,30} Order 330 Defining relations for automorphism group: [ R^-5, R^-1 * S^-2 * R * S^2, S^6, S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R^-1 ] CH100.16 : Type {5,52,52} Order 260 Defining relations for automorphism group: [ R^-5, S^-1 * R^-2 * S * R^-1, S^52 ] CH100.17 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH100.18 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, R * S^-1 * R^2 * S * R, S^6, (R^-1 * S^-2 * R^-1 * S^-1)^2, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S ] CH100.19 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, (R * S * R)^2, S^6, R^2 * S^-1 * R^2 * S^3, (R * S^-2 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S ] CH100.20 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, S^6, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-2 * R^2 * S^2 * R^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S ] CH100.21 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, R^-1 * S^-2 * R * S^2, S^6, R * S^-1 * R * S^-1 * R^2 * S * R * S * R, S^-1 * R^-2 * S^-1 * R^3 * S * R^-2 * S * R, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH100.22 : Type {6,6,18} Order 324 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^2 * S^2 * R^-1, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S ] CH100.23 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ R * S * R^3 * S * R^-1 * S, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^-9 ] CH100.24 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ S * R^4 * S^2 * R^-1, S * R * S^-1 * R^2 * S^3, R^-1 * S^2 * R^2 * S^-1 * R^-1 * S^-1, R^-9 ] CH100.25 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ S^2 * R^2 * S * R, R^-9, R^-1 * S * R^-3 * S * R^-1 * S * R^-1 ] CH100.26 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ S^-1 * R^4 * S^-1 * R^-1 * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-9 ] CH100.27 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ R * S^-1 * R^2 * S^-2, R^-9, R^-1 * S^-1 * R^-3 * S^-1 * R^-2 * S^-1 ] CH100.28 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S^-1 * R * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S * R^-1 * S * R^2 * S^-2 * R^-1, R^-9 ] CH100.29 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ S^-1 * R^-2 * S * R^-1, R^-4 * S^-1 * R * S, S^-27 ] CH100.30 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^2 * R * S^2 * R^2 * S^5 ] CH100.31 : Type {9,27,27} Order 243 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-9, S^-2 * R * S^-2 * R^-1 * S^-5 ] CH100.32 : Type {12,12,21} Order 252 Defining relations for automorphism group: [ S * R^3 * S^2, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R^-1, R^12 ] CH100.33 : Type {12,12,21} Order 252 Defining relations for automorphism group: [ S^-1 * R^-1 * S^-1 * R * S * R^-1, S * R^5 * S * R^-1 * S * R^-1, R^12 ] CH100.34 : Type {12,12,21} Order 252 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R^-1, S * R^4 * S * R^-2, S * R * S^2 * R^2 * S * R * S * R, R^12 ] CH100.35 : Type {12,12,21} Order 252 Defining relations for automorphism group: [ R * S * R^2 * S^2, S * R^5 * S * R^-1 * S * R^-1, R^12 ] CH100.36 : Type {18,72,72} Order 216 Defining relations for automorphism group: [ R^5 * S^-1 * R * S, S^-1 * R^4 * S * R^2, S^6 * R^-3 * S^6 ] CH100.37 : Type {24,36,72} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S * R^-1 * S^2, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-3 * S^-1 * R^-1 * S^-4 ] CH100.38 : Type {24,36,72} Order 216 Defining relations for automorphism group: [ R^-1 * S^-1 * R^3 * S * R^-2, S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-5 * S^-2 * R^-1 * S^-1, R * S^-3 * R * S^-2 * R^3 * S^-1 * R * S^-3 ] CH100.39 : Type {36,36,36} Order 216 Defining relations for automorphism group: [ R^5 * S * R * S^-1, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-3 ] CH101.1 : Type {3,3,4} Order 2400 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S * R^-1 ] CH101.2 : Type {3,3,4} Order 2400 Defining relations for automorphism group: [ R^-3, S^-3, (R^-1 * S^-1)^4, (R * S^-1)^6, (R^-1, S^-1)^4, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R ] CH101.3 : Type {3,3,28} Order 672 Defining relations for automorphism group: [ R^-3, S^-3, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S * R, R^-1 * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH101.4 : Type {3,4,4} Order 1200 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 ] CH101.5 : Type {3,4,4} Order 1200 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, R * S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH101.6 : Type {3,4,4} Order 1200 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, R * S^-1 * R * S * R * S^-2 * R * S * R^-1 * S^2 * R * S^2 * R^-1 * S ] CH101.7 : Type {3,4,4} Order 1200 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S^-1 * R^-1 * S^-2 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R * S^2 * R * S^-1 ] CH101.8 : Type {3,4,4} Order 1200 Defining relations for automorphism group: [ R^-3, S^4, (R^-1 * S^-1)^4, (R * S^-1)^4, (R, S)^3, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S^2 * R^-1 ] CH101.9 : Type {4,4,4} Order 800 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R^-1, S^-1)^2, (R * S^-1)^4, R^-2 * S * R^-2 * S^-1 * R^2 * S^2 * R^2 * S^2, S^-2 * R * S^-2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 ] CH101.10 : Type {4,4,4} Order 800 Defining relations for automorphism group: [ R^4, S^4, (R^-1 * S^-1)^4, (R * S^-1 * R^-1 * S^-1)^2, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, R^-1 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 ] CH101.11 : Type {4,4,4} Order 800 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, (R^-1 * S^-1)^4, (R * S^-1)^4, S^-1 * R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1 * R, S^-2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-1 * R * S * R^-1 ] CH101.12 : Type {4,4,4} Order 800 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R * S^-1 * R * S * R * S^-1 * R^-1 * S^-2 * R * S^-2 ] CH101.13 : Type {4,4,4} Order 800 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R * S^-1 * R * S * R * S^-1 * R * S * R * S^-1 * R^-1 * S^-2 * R^-1 * S^-2 ] CH101.14 : Type {4,4,6} Order 600 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S ] CH101.15 : Type {4,4,6} Order 600 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S * R * S^2 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S ] CH101.16 : Type {4,4,6} Order 600 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, (R^-1 * S^-1)^6 ] CH101.17 : Type {4,4,6} Order 600 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1, S^-2 * R^-2 * S^-1 * R^2 * S * R^-1 * S^2 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^2 * S * R * S^-1 * R^-1 * S^-1, (R^-1 * S^-1)^6 ] CH101.18 : Type {4,4,6} Order 600 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S^-2 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S ] CH101.19 : Type {4,4,10} Order 500 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] CH101.20 : Type {4,4,10} Order 500 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 ] CH101.21 : Type {4,4,10} Order 500 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S^-1 * R, R^-1 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^-1 ] CH101.22 : Type {4,4,10} Order 500 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-2 * S^-1 * R^2 * S * R^2 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] CH101.23 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] CH101.24 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 ] CH101.25 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S ] CH101.26 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S * R^-1 * S * R^-1 * S * R * S * R^-1 * S * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R ] CH101.27 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S * R^-1 * S^-1 * R^2 * S^2 * R * S, R * S^-1 * R^-2 * S^-1 * R^2 * S * R * S * R * S ] CH101.28 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^-1 * S, S^-1 * R^-1 * S^-2 * R^2 * S^-1 * R * S^-1 * R^-1 ] CH101.29 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, R * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] CH101.30 : Type {4,4,12} Order 480 Defining relations for automorphism group: [ R^4, S^4, R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1, R^-1 * S * R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2 * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S ] CH101.31 : Type {4,4,22} Order 440 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S ] CH101.32 : Type {4,4,42} Order 420 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^-1 ] CH101.33 : Type {4,4,52} Order 416 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S^-1 * R * S * R * S * R^-2 * S^-2 * R^-2 * S * R * S^2 * R^-1 * S^-1 * R^-1 ] CH101.34 : Type {4,4,52} Order 416 Defining relations for automorphism group: [ R^4, (R * S^-1)^2, S^4, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R * S * R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 ] CH101.35 : Type {4,4,102} Order 408 Defining relations for automorphism group: [ R^4, S^4, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, (R * S^-1 * R^-1 * S^-1 * R^-1 * S^-1)^2, R * S * R * S^-2 * R^-1 * S^-1 * R^2 * S^2 * R * S * R^2 * S ] CH101.36 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^-1 * R^-1 * S^-1, (R^-1, S^-1)^2, S * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^-1 ] CH101.37 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, S * R * S * R^2 * S^-2 * R^-1, S^8, S^-2 * R^-1 * S^-1 * R^2 * S * R * S^-2 ] CH101.38 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1, S^-1)^2, S^8, S * R^-2 * S^-1 * R^2 * S^-1 * R * S * R ] CH101.39 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1, S^-1)^2, S^8, S * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 ] CH101.40 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R * S^-1 ] CH101.41 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, (R * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S * R^-2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] CH101.42 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, (R^-1 * S^-2)^2, (R^-1 * S * R^-1 * S^-1)^2, S^8, S * R^-2 * S^-1 * R^2 * S * R * S^-1 * R^-1 ] CH101.43 : Type {4,8,8} Order 400 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^2 * S^-2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R^-1 * S^-2 * R * S^-2 * R^-1 * S^-2 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 ] CH101.44 : Type {4,15,60} Order 300 Defining relations for automorphism group: [ R^4, S^-1 * R * S^-1 * R^2 * S^2 * R, S * R * S * R^2 * S^-2 * R, S^-15 ] CH101.45 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2, S^16 ] CH101.46 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-3 * R * S^-1 ] CH101.47 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^2, S^16 ] CH101.48 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^-3 * R^-1 * S^-1 ] CH101.49 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-2 * R ] CH101.50 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-2 * R^-1 ] CH101.51 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-4 * R^2 * S^-4, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R^-1, S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-2 * R^-1 ] CH101.52 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R^-1 * S * R * S^-2 ] CH101.53 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] CH101.54 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^-2 ] CH101.55 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^3 * R^-2 * S * R^-2 * S * R^-1 * S * R * S^2 ] CH101.56 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S * R, S^16 ] CH101.57 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R^-1 * S^-1 * R ] CH101.58 : Type {4,16,16} Order 320 Defining relations for automorphism group: [ R^4, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^-2 * R * S^-4, R * S^-1 * R^-2 * S^-1 * R^2 * S * R^-1 * S^-3 ] CH101.59 : Type {4,20,30} Order 300 Defining relations for automorphism group: [ R^4, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] CH101.60 : Type {4,56,56} Order 280 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2, S^6 * R * S * R^-1 * S^3 * R * S^4 ] CH101.61 : Type {4,56,56} Order 280 Defining relations for automorphism group: [ R^4, R^-1 * S^-1 * R^2 * S * R^-1, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1, S^-4 * R * S^-3 * R * S^-2 * R^-1 * S^-5 ] CH101.62 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^2 * S * R^-1 * S, S^-1 * R * S * R^2 * S^2 * R^-1, R^-2 * S * R^-2 * S^2 * R^-1 * S ] CH101.63 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^-2 * S * R^-1 * S^-1 ] CH101.64 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1, R^-1 * S^-3 * R * S^3, S^-1 * R^-1 * S^-1 * R^-3 * S^-1 * R * S * R^-2 ] CH101.65 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, S * R^-1 * S^-1 * R^2 * S^2 * R, S^2 * R^-1 * S^-2 * R^-1 * S^-1 * R * S^2 * R^-1 ] CH101.66 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R * S^-1 * R^-2 * S^-1 * R * S^-1, S^2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R ] CH101.67 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1, S * R^-1 * S^-1 * R^-2 * S^-2 * R^-1 * S ] CH101.68 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R * S^-2 * R^2 * S^-1 * R^-1 * S^-1, R^-2 * S^-1 * R^-2 * S^-1 * R * S^2 ] CH101.69 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-2 * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S^-1 * R^-2 * S^-2 * R^2 ] CH101.70 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, S^6, R^-1 * S^-1 * R^3 * S * R^-2, R^-1 * S^-2 * R^2 * S * R^-1 * S, R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S * R * S * R^-1 * S^-1 ] CH101.71 : Type {6,6,14} Order 336 Defining relations for automorphism group: [ R^6, (R * S^-1 * R)^2, (R * S^-2)^2, R * S^2 * R * S * R^2 * S * R * S * R * S ] CH101.72 : Type {6,12,12} Order 300 Defining relations for automorphism group: [ R^6, (R * S^-2 * R)^2, (R * S^-1)^4, S * R * S^-1 * R^-2 * S * R^2 * S ] CH101.73 : Type {6,12,12} Order 300 Defining relations for automorphism group: [ R^6, R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R^-1 * S * R^-1 ] CH101.74 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH101.75 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 * S^-1 ] CH101.76 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH101.77 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 ] CH101.78 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] CH101.79 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^2 * R ] CH101.80 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^4 * S^-3, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^2 * R^-1 ] CH101.81 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^-1 * R^4 * S^-3, (R * S^-1 * R^-1 * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-2 * R^-1 ] CH101.82 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R * S^-1 ] CH101.83 : Type {8,8,8} Order 320 Defining relations for automorphism group: [ R * S^-1 * R^2 * S * R, R^8, S^8, S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R * S^3 * R, S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 ] CH101.84 : Type {8,8,28} Order 280 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S^-1 * R * S^-1 * R^-1 ] CH101.85 : Type {8,8,28} Order 280 Defining relations for automorphism group: [ R^8, S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R * S * R * S * R^-1 ] CH101.86 : Type {8,8,68} Order 272 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S^2 * R^2 * S^-2 ] CH101.87 : Type {8,8,68} Order 272 Defining relations for automorphism group: [ (R * S^-1)^2, R^8, S^-1 * R^4 * S^-3, R * S * R^-1 * S^-1 * R^-1 * S^-1 * R^-1 * S^-1 * R^2 * S * R * S^2 * R * S ] CH101.88 : Type {8,16,32} Order 256 Defining relations for automorphism group: [ R^8, R^2 * S^-1 * R^2 * S^-3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S^-1 * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] CH101.89 : Type {8,16,32} Order 256 Defining relations for automorphism group: [ R^8, R^2 * S^-1 * R^2 * S^-3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^-1 ] CH101.90 : Type {8,16,32} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^2 * S * R^2 * S^3, R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S ] CH101.91 : Type {8,16,32} Order 256 Defining relations for automorphism group: [ R^8, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, R^-1 * S^-2 * R^2 * S^2 * R^-1, R^2 * S * R^2 * S^3, R * S^-1 * R^-1 * S^-1 * R * S^-1 * R * S ] CH101.92 : Type {8,48,48} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^-2 * R * S^-1 * R^-1 * S^-3 * R ] CH101.93 : Type {8,48,48} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R^-1 ] CH101.94 : Type {8,48,48} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^8, S^-2 * R^-1 * S^-1 * R^-1 * S^-3 * R ] CH101.95 : Type {12,24,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^2 * R^-1 * S^-1 * R^-1 * S * R^-1 * S^2 ] CH101.96 : Type {12,24,24} Order 240 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, R^-1 * S^-1 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^-1, R^-1 * S^-2 * R^-1 * S^-1 * R * S * R * S^2, R^12 ] CH101.97 : Type {16,16,24} Order 240 Defining relations for automorphism group: [ S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R^4 * S^-3, R^-1 * S^-1 * R^-10 * S^-1 * R^-1 * S^-2 ] CH101.98 : Type {16,16,24} Order 240 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, S * R^-1 * S^-1 * R^2 * S^-1 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1, S * R * S^-1 * R^3 * S * R^3 ] CH101.99 : Type {16,16,24} Order 240 Defining relations for automorphism group: [ S^-1 * R^4 * S^-3, R * S^-1 * R^3 * S * R^-1 * S ] CH101.100 : Type {22,44,44} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^-2 * R^-1 * S^-1 * R^-1 * S^-2 * R * S^-1, S^-1 * R^-5 * S^2 * R^-1 * S * R^-1 ] CH101.101 : Type {22,44,44} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S * R^-1 * S^-1 * R^-1 * S^-2 * R^-1, R^3 * S^-3 * R * S^-2 * R^2 * S^-3 * R * S^-2 ] CH101.102 : Type {22,44,44} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S * R^-1 * S^-1 * R^-1 * S^2 * R^-1, S^-5 * R^-8 * S^-3 * R^-2 ] CH101.103 : Type {22,44,44} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, R^-1 * S^-1 * R^-3 * S^2 * R^-1 * S, S^4 * R^2 * S^4 ] CH101.104 : Type {22,44,44} Order 220 Defining relations for automorphism group: [ R^-1 * S^-1 * R^2 * S * R^-1, S^2 * R^2 * S^2, S * R^-1 * S^-1 * R^-1 * S^-2 * R, S * R^-8 * S^2 * R^-12 * S ] Total number of chiral hypermaps in list above: 2191