Orientable regular maps of genus 2 to 101 ----------------------------------------- Below is a list of all (reflexible) orientable regular maps on surfaces of genus 2 to 101, up to isomorphism and duality. The notation "Rg.n" is used for the nth orientable regular map of genus g. These were found by Marston Conder (University of Auckland) with the help of the "LowIndexNormalSubgroups" routine in Magma, in August 2006. For background information (and regular maps of genus up to 15), see: Marston Conder and P. Dobcs\'anyi, Determination of all regular maps of small genus, J. Combinatorial Theory, Series B 81 (2001), 224-242. Total number of maps in list below: 3378 R2.1 : Type {3,8}_12 Order 96 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2 ] R2.2 : Type {4,6}_12 Order 48 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 ] R2.3 : Type {4,8}_8 Order 32 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-2 * R^2 * S^-2 ] R2.4 : Type {5,10}_2 Order 20 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-5 ] R2.5 : Type {6,6}_2 Order 24 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^6 ] R2.6 : Type {8,8}_2 Order 16 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, R^3 * S^-1, S * R^2 * S, (R^-1 * T)^2 ] R3.1 : Type {3,7}_8 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-2)^4 ] R3.2 : Type {3,8}_6 Order 192 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ] R3.3 : Type {3,12}_8 Order 96 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3 ] R3.4 : Type {4,6}_6 Order 96 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^6 ] R3.5 : Type {4,8}_8 Order 64 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2 ] R3.6 : Type {4,8}_8 Order 64 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 ] R3.7 : Type {4,12}_6 Order 48 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * R^2 * S^-3 ] R3.8 : Type {6,6}_4 Order 48 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-2 ] R3.9 : Type {7,14}_2 Order 28 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-7 ] R3.10 : Type {8,8}_4 Order 32 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, S^-1 * R^2 * S^-1, (R * S)^2, (R^-1 * T)^2, (S^-1 * T)^2 ] R3.11 : Type {8,8}_2 Order 32 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 ] R3.12 : Type {12,12}_2 Order 24 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * S^-1 ] R4.1 : Type {3,12}_6 Order 144 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ] R4.2 : Type {4,5}_6 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-2 * R * S^-1)^2 ] R4.3 : Type {4,6}_4 Order 144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^2 * S^-1 * R * S ] R4.4 : Type {4,10}_20 Order 80 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 ] R4.5 : Type {4,16}_16 Order 64 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-4 * R^2 * S^-4 ] R4.6 : Type {5,5}_6 Order 120 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S^-1 * R)^3 ] R4.7 : Type {6,6}_6 Order 72 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^6 ] R4.8 : Type {6,6}_6 Order 72 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^6 ] R4.9 : Type {6,12}_4 Order 48 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-2 * R^2 * S^-2 ] R4.10 : Type {9,18}_2 Order 36 mV = 18 mF = 9 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R * S^-1 * T * S * R^-5 * T * R ] R4.11 : Type {10,10}_2 Order 40 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-2 * T * R^6 * T * R^-2 ] R4.12 : Type {16,16}_2 Order 32 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * S^-1 ] R5.1 : Type {3,8}_12 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R5.2 : Type {3,10}_10 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2 ] R5.3 : Type {4,5}_10 Order 320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^4 ] R5.4 : Type {4,6}_12 Order 192 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1 ] R5.5 : Type {4,8}_4 Order 128 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^4 ] R5.6 : Type {4,8}_8 Order 128 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ] R5.7 : Type {4,12}_12 Order 96 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^12 ] R5.8 : Type {4,20}_10 Order 80 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R * S^-4 * R * S ] R5.9 : Type {5,5}_4 Order 160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R5.10 : Type {6,6}_4 Order 96 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^2 ] R5.11 : Type {6,15}_10 Order 60 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-2 * R^-2 * S^-3 ] R5.12 : Type {8,8}_4 Order 64 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3 ] R5.13 : Type {8,8}_4 Order 64 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^8 ] R5.14 : Type {11,22}_2 Order 44 mV = 22 mF = 11 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-11 ] R5.15 : Type {12,12}_2 Order 48 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * T * S * R^-7 * S * T * R ] R5.16 : Type {20,20}_2 Order 40 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-2 * T * R^6 * T * R^-1 * S ] R6.1 : Type {3,10}_6 Order 300 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^10 ] R6.2 : Type {4,6}_10 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^6 ] R6.3 : Type {4,9}_18 Order 144 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-9 ] R6.4 : Type {4,14}_28 Order 112 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^14 ] R6.5 : Type {4,24}_24 Order 96 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * R^2 * S^6 ] R6.6 : Type {5,10}_10 Order 100 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-1 * R * S^2 ] R6.7 : Type {6,8}_24 Order 96 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^8 ] R6.8 : Type {6,8}_12 Order 96 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R^-3 * S^-3 ] R6.9 : Type {9,9}_4 Order 72 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-9 ] R6.10 : Type {10,15}_6 Order 60 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-2 * S^2 ] R6.11 : Type {13,26}_2 Order 52 mV = 26 mF = 13 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^2 * T * R^7 * S^-1 * T * R^-1 * S ] R6.12 : Type {14,14}_2 Order 56 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * S^-2 ] R6.13 : Type {24,24}_2 Order 48 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * T * S * R^-7 * S * T * S^-1 ] R7.1 : Type {3,7}_18 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ] R7.2 : Type {3,12}_24 Order 288 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R7.3 : Type {4,16}_16 Order 128 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4 ] R7.4 : Type {4,16}_16 Order 128 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^16 ] R7.5 : Type {4,28}_14 Order 112 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^7 * R^2 * S^7 ] R7.6 : Type {6,9}_18 Order 108 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-9 ] R7.7 : Type {6,12}_8 Order 96 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-2 * S^-2 * R ] R7.8 : Type {6,21}_14 Order 84 mV = 21 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^3 * R^-2 * S^4 ] R7.9 : Type {15,30}_2 Order 60 mV = 30 mF = 15 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * T * R^6 * S^-1 * T * S^2 ] R7.10 : Type {16,16}_2 Order 64 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^3 * T * R^9 * S^-1 * T * S^2 ] R7.11 : Type {16,16}_4 Order 64 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^6 * S^-2 ] R7.12 : Type {28,28}_2 Order 56 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * S^-1 * R ] R8.1 : Type {3,8}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4 ] R8.2 : Type {3,8}_14 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] R8.3 : Type {4,18}_36 Order 144 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^18 ] R8.4 : Type {4,32}_32 Order 128 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 * R^2 * S^8 ] R8.5 : Type {6,10}_30 Order 120 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^10 ] R8.6 : Type {6,24}_8 Order 96 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^4 * R^2 * S^4 ] R8.7 : Type {8,12}_24 Order 96 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^-2 * R^4 * S^-4 ] R8.8 : Type {10,20}_4 Order 80 mV = 20 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^10 ] R8.9 : Type {17,34}_2 Order 68 mV = 34 mF = 17 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^2 * S^-2 * T * S * R^-9 * T * S^-3 ] R8.10 : Type {18,18}_2 Order 72 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-11 * T ] R8.11 : Type {32,32}_2 Order 64 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^3 * T * R^9 * S^-1 * T * S * R^-1 ] R9.1 : Type {3,12}_8 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2 ] R9.2 : Type {4,5}_20 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S^2 ] R9.3 : Type {4,6}_24 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R9.4 : Type {4,6}_6 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R9.5 : Type {4,8}_8 Order 256 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] R9.6 : Type {4,8}_4 Order 256 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^8 ] R9.7 : Type {4,8}_8 Order 256 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 ] R9.8 : Type {4,8}_8 Order 256 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 ] R9.9 : Type {4,12}_6 Order 192 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ] R9.10 : Type {4,12}_12 Order 192 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ] R9.11 : Type {4,12}_12 Order 192 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12 ] R9.12 : Type {4,20}_20 Order 160 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^20 ] R9.13 : Type {4,36}_18 Order 144 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^2 * S^9 ] R9.14 : Type {5,5}_8 Order 320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R9.15 : Type {5,6}_10 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2)^2 ] R9.16 : Type {5,6}_4 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R9.17 : Type {6,6}_8 Order 192 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^2 * S * R^-1 * S ] R9.18 : Type {6,6}_4 Order 192 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R9.19 : Type {8,8}_8 Order 128 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^8 ] R9.20 : Type {8,8}_8 Order 128 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^8 ] R9.21 : Type {8,8}_8 Order 128 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^3 * S * R^-1 * S^-1 ] R9.22 : Type {8,8}_4 Order 128 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R9.23 : Type {8,8}_8 Order 128 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R^2 * S^-1 * R * S ] R9.24 : Type {8,24}_12 Order 96 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^3 * R^2 * S^3 ] R9.25 : Type {8,24}_6 Order 96 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^-3 * R^2 * S^-3 ] R9.26 : Type {12,12}_4 Order 96 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-2, (S^-1 * R)^3 ] R9.27 : Type {12,12}_4 Order 96 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-2 * R^7 * S^-2 ] R9.28 : Type {12,12}_4 Order 96 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-7 * S^2 ] R9.29 : Type {14,21}_6 Order 84 mV = 21 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-4 * S^3 ] R9.30 : Type {19,38}_2 Order 76 mV = 38 mF = 19 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * T * R^9 * S^-1 * T * S * R^-3 ] R9.31 : Type {20,20}_2 Order 80 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * T * R^-10 * T * S^-4 * R ] R9.32 : Type {36,36}_2 Order 72 mV = 36 mF = 36 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^6 * T * R^-11 * T ] R10.1 : Type {3,9}_12 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 ] R10.2 : Type {3,12}_6 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^12 ] R10.3 : Type {3,15}_10 Order 360 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5 ] R10.4 : Type {3,18}_6 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-6 * R^-1 * S^5 * R^-1 * S^-1 ] R10.5 : Type {3,24}_12 Order 288 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4 ] R10.6 : Type {4,5}_8 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (S^-1 * R)^5 ] R10.7 : Type {4,6}_12 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2 * R * S^-1)^2 ] R10.8 : Type {4,6}_12 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R10.9 : Type {4,7}_8 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-7 ] R10.10 : Type {4,12}_6 Order 216 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-3 * R * S^4 ] R10.11 : Type {4,22}_44 Order 176 mV = 11 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^22 ] R10.12 : Type {4,40}_40 Order 160 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 * R^2 * S^10 ] R10.13 : Type {6,6}_6 Order 216 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^2 * S^2 * R^-1 ] R10.14 : Type {6,6}_6 Order 216 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R10.15 : Type {6,6}_6 Order 216 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] R10.16 : Type {6,12}_12 Order 144 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^2 ] R10.17 : Type {6,12}_12 Order 144 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^12 ] R10.18 : Type {6,12}_12 Order 144 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^12 ] R10.19 : Type {6,30}_10 Order 120 mV = 30 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-5 * R^2 * S^-5 ] R10.20 : Type {9,18}_6 Order 108 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-9 ] R10.21 : Type {12,24}_8 Order 96 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^2 * S^-2 ] R10.22 : Type {21,42}_2 Order 84 mV = 42 mF = 21 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * R^-2 * T * R^8 * T * R^-4 * S ] R10.23 : Type {22,22}_2 Order 88 mV = 22 mF = 22 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * S * R^-6 * S * T * S^-2 ] R10.24 : Type {40,40}_2 Order 80 mV = 40 mF = 40 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^5 * T * R^-10 * T * S^-5 ] R11.1 : Type {4,6}_10 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R11.2 : Type {4,24}_24 Order 192 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^4 * R * S^-2 * R^-1 * S^6 ] R11.3 : Type {4,24}_24 Order 192 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^24 ] R11.4 : Type {4,44}_22 Order 176 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^11 * R^2 * S^11 ] R11.5 : Type {6,6}_6 Order 240 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R11.6 : Type {6,8}_12 Order 192 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-3)^2 ] R11.7 : Type {6,8}_6 Order 192 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R^2 * S^-1 * R^2 * S^3 ] R11.8 : Type {6,33}_22 Order 132 mV = 33 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-6 * R * S^4 * R^-1 * S^-1 ] R11.9 : Type {8,16}_16 Order 128 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^3 * R^-4 * S^5 ] R11.10 : Type {8,16}_16 Order 128 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^3 * R * S^-1 * R * S^4 ] R11.11 : Type {23,46}_2 Order 92 mV = 46 mF = 23 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-1 * S * T * S^-1 * R^7 * T * R^-8 ] R11.12 : Type {24,24}_2 Order 96 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-9 * T * R^2 * S^-4 * R ] R11.13 : Type {24,24}_4 Order 96 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-9 ] R11.14 : Type {44,44}_2 Order 88 mV = 44 mF = 44 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * S * R^-6 * S * T * S^-1 * R ] R12.1 : Type {4,15}_30 Order 240 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-15 ] R12.2 : Type {4,26}_52 Order 208 mV = 13 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^26 ] R12.3 : Type {4,48}_48 Order 192 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^12 * R^2 * S^12 ] R12.4 : Type {6,14}_42 Order 168 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^14 ] R12.5 : Type {8,10}_40 Order 160 mV = 5 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^10 ] R12.6 : Type {10,30}_6 Order 120 mV = 30 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^10 ] R12.7 : Type {14,28}_4 Order 112 mV = 28 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-2 * R^8 * S^-2 ] R12.8 : Type {15,15}_4 Order 120 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S * R^-1 * S * R^-8 * S^2 ] R12.9 : Type {25,50}_2 Order 100 mV = 50 mF = 25 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^5 * R^-2 * T * R^9 * T * R^-7 * S ] R12.10 : Type {26,26}_2 Order 104 mV = 26 mF = 26 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-8 * S * T * R * S^-1 * T ] R12.11 : Type {48,48}_2 Order 96 mV = 48 mF = 48 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-9 * T * R^2 * S^-5 ] R13.1 : Type {3,10}_30 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-1 * R * S^2 * R^-1 * S^2 ] R13.2 : Type {3,12}_12 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R13.3 : Type {4,12}_4 Order 288 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^6 ] R13.4 : Type {4,16}_16 Order 256 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ] R13.5 : Type {4,16}_16 Order 256 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-5 ] R13.6 : Type {4,28}_28 Order 224 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^28 ] R13.7 : Type {4,52}_26 Order 208 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^13 * R^2 * S^13 ] R13.8 : Type {5,10}_6 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2 * R)^2 ] R13.9 : Type {6,6}_12 Order 288 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R13.10 : Type {6,12}_4 Order 192 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R13.11 : Type {6,12}_8 Order 192 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^3 ] R13.12 : Type {6,15}_30 Order 180 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-15 ] R13.13 : Type {6,39}_26 Order 156 mV = 39 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-7 * R^2 * S^-6 ] R13.14 : Type {9,18}_4 Order 144 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-9 ] R13.15 : Type {12,12}_6 Order 144 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-5 * S^5 ] R13.16 : Type {12,12}_6 Order 144 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^12 ] R13.17 : Type {16,16}_8 Order 128 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^4 * S^-3 ] R13.18 : Type {16,16}_4 Order 128 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R^4 * S^3 ] R13.19 : Type {16,16}_4 Order 128 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-2 * S * R^-10 * S^3 ] R13.20 : Type {27,54}_2 Order 108 mV = 54 mF = 27 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-2 * T * R^10 * S^-2 * T * R^-8 ] R13.21 : Type {28,28}_2 Order 112 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^11 * S^-2 * R * T * S * R^-7 * T * R^3 * S^-3 ] R13.22 : Type {52,52}_2 Order 104 mV = 52 mF = 52 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^15 * R^-8 * S * T * R * S^-1 * T ] R14.1 : Type {3,7}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (S * R^-1 * S)^6 ] R14.2 : Type {3,7}_26 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 ] R14.3 : Type {3,7}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R14.4 : Type {4,30}_60 Order 240 mV = 15 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^30 ] R14.5 : Type {4,56}_56 Order 224 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^14 * R^2 * S^14 ] R14.6 : Type {6,16}_48 Order 192 mV = 8 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^16 ] R14.7 : Type {6,42}_14 Order 168 mV = 42 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^7 * R^2 * S^7 ] R14.8 : Type {8,20}_40 Order 160 mV = 10 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^5 * R^4 * S^5 ] R14.9 : Type {10,35}_14 Order 140 mV = 35 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^-2 * S^-4 ] R14.10 : Type {29,58}_2 Order 116 mV = 58 mF = 29 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^14 * T * S^2 * R^-10 * T * R^3 ] R14.11 : Type {30,30}_2 Order 120 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-8 ] R14.12 : Type {56,56}_2 Order 112 mV = 56 mF = 56 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^11 * S^-2 * R * T * S * R^-7 * T * R^3 * S^-2 * R ] R15.1 : Type {3,9}_14 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] R15.2 : Type {3,14}_6 Order 588 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^14 ] R15.3 : Type {3,20}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, (S^2 * R^-1 * S^2 * R^-1 * S)^2 ] R15.4 : Type {4,6}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (S * R^-1 * S)^3 ] R15.5 : Type {4,18}_18 Order 288 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^18 ] R15.6 : Type {4,32}_32 Order 256 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ] R15.7 : Type {4,32}_32 Order 256 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^32 ] R15.8 : Type {4,60}_30 Order 240 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^15 * R^2 * S^15 ] R15.9 : Type {6,10}_10 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^3 * S^-3 ] R15.10 : Type {7,14}_14 Order 196 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-7 ] R15.11 : Type {8,12}_12 Order 192 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S * R * S^-2 * R * S^3 ] R15.12 : Type {8,12}_6 Order 192 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4 ] R15.13 : Type {8,12}_24 Order 192 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^12 ] R15.14 : Type {8,12}_24 Order 192 mV = 3 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^12 ] R15.15 : Type {8,40}_20 Order 160 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^5 * R^-2 * S^5 ] R15.16 : Type {8,40}_10 Order 160 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^5 * R^2 * S^5 ] R15.17 : Type {14,35}_10 Order 140 mV = 35 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-2 * S^3 ] R15.18 : Type {18,18}_4 Order 144 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^4 * R^-1 * S * R^-8 * S^2 ] R15.19 : Type {22,33}_6 Order 132 mV = 33 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-8 * S^3 ] R15.20 : Type {31,62}_2 Order 124 mV = 62 mF = 31 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^8 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-7 ] R15.21 : Type {32,32}_2 Order 128 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-8 * R ] R15.22 : Type {32,32}_4 Order 128 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-2 * S * R^-10 * S * R^-2 ] R15.23 : Type {60,60}_2 Order 120 mV = 60 mF = 60 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^7 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-7 * R ] R16.1 : Type {3,8}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ] R16.2 : Type {4,5}_30 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^6, S^-2 * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-2 * S^-1 * R ] R16.3 : Type {4,10}_4 Order 400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^10 ] R16.4 : Type {4,34}_68 Order 272 mV = 17 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^34 ] R16.5 : Type {4,64}_64 Order 256 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^16 * R^2 * S^16 ] R16.6 : Type {5,5}_6 Order 600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R16.7 : Type {6,8}_8 Order 288 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ] R16.8 : Type {6,18}_18 Order 216 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^18 ] R16.9 : Type {6,18}_18 Order 216 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^18 ] R16.10 : Type {6,48}_16 Order 192 mV = 48 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^8 * R * S^-1 * R * S^7 ] R16.11 : Type {10,10}_10 Order 200 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^10, (R * S^-1 * R^3)^2 ] R16.12 : Type {10,10}_10 Order 200 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^10 ] R16.13 : Type {10,40}_8 Order 160 mV = 40 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-4 * R^2 * S^-4 ] R16.14 : Type {18,36}_4 Order 144 mV = 36 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^2 * R^-1 * S * R^-12 * S ] R16.15 : Type {33,66}_2 Order 132 mV = 66 mF = 33 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^9 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-7 * S ] R16.16 : Type {34,34}_2 Order 136 mV = 34 mF = 34 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^9 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-10 ] R16.17 : Type {64,64}_2 Order 128 mV = 64 mF = 64 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^8 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-9 ] R17.1 : Type {3,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ] R17.2 : Type {3,14}_8 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S ] R17.3 : Type {4,6}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R17.4 : Type {4,6}_6 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4 ] R17.5 : Type {4,6}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, (R * S^-2)^4 ] R17.6 : Type {4,8}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R17.7 : Type {4,8}_8 Order 512 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S * R * S^-3 * R^2 * S^4 * R^-1 ] R17.8 : Type {4,8}_8 Order 512 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1 ] R17.9 : Type {4,8}_16 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R17.10 : Type {4,12}_12 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ] R17.11 : Type {4,12}_24 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^-2 * R * S ] R17.12 : Type {4,12}_24 Order 384 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 ] R17.13 : Type {4,20}_20 Order 320 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 ] R17.14 : Type {4,36}_36 Order 288 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^36 ] R17.15 : Type {4,68}_34 Order 272 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^17 * R^2 * S^17 ] R17.16 : Type {5,6}_8 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 ] R17.17 : Type {5,10}_8 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ] R17.18 : Type {5,10}_4 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R)^2 ] R17.19 : Type {6,6}_8 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, (R * S^-1 * R)^4 ] R17.20 : Type {6,6}_4 Order 384 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R17.21 : Type {6,6}_8 Order 384 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2 ] R17.22 : Type {6,6}_8 Order 384 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R17.23 : Type {6,15}_20 Order 240 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-2 * S * R^-2 * S^4 ] R17.24 : Type {6,51}_34 Order 204 mV = 51 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-9 * R * S * R^-1 * S^-7 ] R17.25 : Type {8,8}_8 Order 256 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ] R17.26 : Type {8,8}_8 Order 256 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ] R17.27 : Type {8,8}_8 Order 256 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ] R17.28 : Type {8,8}_8 Order 256 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^4 ] R17.29 : Type {8,8}_4 Order 256 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ] R17.30 : Type {8,8}_8 Order 256 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 ] R17.31 : Type {8,8}_4 Order 256 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^4 ] R17.32 : Type {8,24}_12 Order 192 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^6 * R^3 * S^-2 * T * S * R * T * S^3 ] R17.33 : Type {8,24}_12 Order 192 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^4 * R * S^-2 * R^-1 * S^6 ] R17.34 : Type {12,12}_4 Order 192 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S * R^-5 * S^2 * R^-1 ] R17.35 : Type {12,12}_8 Order 192 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^2 ] R17.36 : Type {12,12}_4 Order 192 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^12 ] R17.37 : Type {20,20}_4 Order 160 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R^12 * S^-1 * R * S^-2 * R ] R17.38 : Type {35,70}_2 Order 140 mV = 70 mF = 35 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-3 * T * R^7 * S^-1 * T * R^-1 * S * T * R^2 * T * R^-9 ] R17.39 : Type {36,36}_2 Order 144 mV = 36 mF = 36 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-2 * T * R^2 * T * R^-8 * T * R^3 * S^-8 * R ] R17.40 : Type {68,68}_2 Order 136 mV = 68 mF = 68 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^9 * T * R^-2 * T * S^-1 * R * T * S * R^-7 * T * R^3 * S^-9 * R ] R18.1 : Type {4,21}_42 Order 336 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-21 ] R18.2 : Type {4,38}_76 Order 304 mV = 19 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^38 ] R18.3 : Type {4,72}_72 Order 288 mV = 72 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^18 * R^2 * S^18 ] R18.4 : Type {6,20}_60 Order 240 mV = 10 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^20 ] R18.5 : Type {8,14}_56 Order 224 mV = 7 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^14 ] R18.6 : Type {10,45}_18 Order 180 mV = 45 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^2 * R * S^-2 * R^-1 * S^5 ] R18.7 : Type {12,16}_48 Order 192 mV = 8 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-2 * T * S^2 * R^5 * S^-2 * T * S * R * S^-1 ] R18.8 : Type {14,42}_6 Order 168 mV = 42 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-2 * S^2 * R^-6 * S^4 ] R18.9 : Type {20,40}_8 Order 160 mV = 40 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^6 * S^-4 ] R18.10 : Type {21,21}_4 Order 168 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^7 * R^-1 * S * R^-8 * S^2 ] R18.11 : Type {26,39}_6 Order 156 mV = 39 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R * S^-3 * R^9 ] R18.12 : Type {37,74}_2 Order 148 mV = 74 mF = 37 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^9 * R^-3 * T * R^8 * T * R^-2 * T * R^2 * T * R^-11 * S ] R18.13 : Type {38,38}_2 Order 152 mV = 38 mF = 38 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-3 * T * R^2 * T * R^-7 * S * T * S^-13 ] R18.14 : Type {72,72}_2 Order 144 mV = 72 mF = 72 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-2 * T * R^2 * T * R^-8 * T * R^3 * S^-9 ] R19.1 : Type {3,12}_24 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S ] R19.2 : Type {3,24}_6 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ] R19.3 : Type {4,5}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S * R^-2 * S^2 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R19.4 : Type {4,7}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R19.5 : Type {4,8}_24 Order 576 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^6 ] R19.6 : Type {4,8}_24 Order 576 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] R19.7 : Type {4,10}_6 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2 ] R19.8 : Type {4,12}_6 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R19.9 : Type {4,12}_6 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R19.10 : Type {4,40}_40 Order 320 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^40 ] R19.11 : Type {4,40}_40 Order 320 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ] R19.12 : Type {4,76}_38 Order 304 mV = 76 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^19 * R^2 * S^19 ] R19.13 : Type {5,5}_10 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (R * S^-1)^4 ] R19.14 : Type {6,9}_18 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-9 ] R19.15 : Type {6,9}_6 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R^-2 * S)^3 ] R19.16 : Type {6,9}_18 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 ] R19.17 : Type {6,9}_6 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, (R^-2 * S)^3 ] R19.18 : Type {6,12}_6 Order 288 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R19.19 : Type {6,12}_6 Order 288 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R19.20 : Type {6,12}_24 Order 288 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R19.21 : Type {6,21}_42 Order 252 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-21 ] R19.22 : Type {6,57}_38 Order 228 mV = 57 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-10 * R^2 * S^-9 ] R19.23 : Type {7,7}_6 Order 336 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1)^4, S^-7, (R^-2 * S)^3 ] R19.24 : Type {8,8}_12 Order 288 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R19.25 : Type {8,8}_6 Order 288 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R19.26 : Type {10,10}_6 Order 240 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-2 * R)^2, R^10 ] R19.27 : Type {12,12}_6 Order 216 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^4 * S^3 ] R19.28 : Type {12,12}_6 Order 216 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^4 * S^-3 ] R19.29 : Type {12,24}_8 Order 192 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^12 ] R19.30 : Type {12,24}_8 Order 192 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^12 ] R19.31 : Type {15,30}_6 Order 180 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-1 * S * R^-1 * S^2 * R^-9 * S ] R19.32 : Type {39,78}_2 Order 156 mV = 78 mF = 39 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^26 * T * S * R^-1 * T * R^2 * T * R^-7 * S * T * R ] R19.33 : Type {40,40}_4 Order 160 mV = 40 mF = 40 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R^12 * S^-1 * R * S^-1 * R * S^-1 ] R19.34 : Type {40,40}_2 Order 160 mV = 40 mF = 40 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^25 * R^-1 * T * S^-1 * R^12 * T ] R19.35 : Type {76,76}_2 Order 152 mV = 76 mF = 76 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^12 * T * R^-3 * T * R^2 * T * R^-7 * S * T * S^-12 * R ] R20.1 : Type {4,42}_84 Order 336 mV = 21 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^42 ] R20.2 : Type {4,80}_80 Order 320 mV = 80 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^20 * R^2 * S^20 ] R20.3 : Type {6,22}_66 Order 264 mV = 11 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^22 ] R20.4 : Type {6,60}_20 Order 240 mV = 60 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^10 * R^2 * S^10 ] R20.5 : Type {8,9}_36 Order 288 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-9 ] R20.6 : Type {8,28}_56 Order 224 mV = 14 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^7 * R^3 * S^-2 * T * R^-1 * S^-1 * T * S^4 ] R20.7 : Type {10,12}_60 Order 240 mV = 6 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^12 ] R20.8 : Type {12,48}_16 Order 192 mV = 48 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R^2 * S^4 ] R20.9 : Type {18,45}_10 Order 180 mV = 45 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-4 * S^4 ] R20.10 : Type {22,44}_4 Order 176 mV = 44 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R * S^-1 * R^2 ] R20.11 : Type {41,82}_2 Order 164 mV = 82 mF = 41 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^11 * R^-28 * S ] R20.12 : Type {42,42}_2 Order 168 mV = 42 mF = 42 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-31 ] R20.13 : Type {80,80}_2 Order 160 mV = 80 mF = 80 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^26 * R^-1 * T * S^-1 * R^12 * T ] R21.1 : Type {3,16}_6 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^16 ] R21.2 : Type {3,16}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ] R21.3 : Type {4,6}_20 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R21.4 : Type {4,12}_10 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^4 ] R21.5 : Type {4,12}_10 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R21.6 : Type {4,24}_24 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R21.7 : Type {4,24}_24 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^24 ] R21.8 : Type {4,24}_12 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3 ] R21.9 : Type {4,24}_6 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R21.10 : Type {4,24}_24 Order 384 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ] R21.11 : Type {4,24}_12 Order 384 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S^5 * R * S^-1 * R^2 * S^-6 ] R21.12 : Type {4,44}_44 Order 352 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^44 ] R21.13 : Type {4,84}_42 Order 336 mV = 84 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^21 * R^2 * S^21 ] R21.14 : Type {6,6}_6 Order 480 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R)^2 ] R21.15 : Type {6,8}_6 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ] R21.16 : Type {6,8}_6 Order 384 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S ] R21.17 : Type {6,8}_12 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S^2 * R^-2 ] R21.18 : Type {6,8}_24 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 ] R21.19 : Type {6,8}_12 Order 384 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, (S * R^-1 * S)^3 ] R21.20 : Type {8,16}_16 Order 256 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^16 ] R21.21 : Type {8,16}_16 Order 256 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^16 ] R21.22 : Type {8,16}_16 Order 256 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^4 * R^-4 * S^4 ] R21.23 : Type {8,16}_16 Order 256 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-3 * R^4 * S^-5 ] R21.24 : Type {8,16}_16 Order 256 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R^-3 * S^-5 ] R21.25 : Type {8,16}_16 Order 256 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4 ] R21.26 : Type {8,16}_16 Order 256 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R^2 * S^-1 * R^2 * S^-3 ] R21.27 : Type {8,16}_16 Order 256 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^8 ] R21.28 : Type {8,56}_28 Order 224 mV = 56 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^7 * R^2 * S^7 ] R21.29 : Type {8,56}_14 Order 224 mV = 56 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^7 * R * S^-2 * R * S^5 ] R21.30 : Type {16,48}_12 Order 192 mV = 48 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^2 * S^-3 ] R21.31 : Type {16,48}_6 Order 192 mV = 48 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S * R^-1 * S * R^-12 ] R21.32 : Type {24,24}_8 Order 192 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-2 ] R21.33 : Type {24,24}_8 Order 192 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^4 * S * R^-2 ] R21.34 : Type {24,24}_4 Order 192 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S * R^-7 * S ] R21.35 : Type {24,24}_4 Order 192 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^10 * R^-1 * S * R^-8 * S^2 ] R21.36 : Type {24,24}_4 Order 192 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S * R^-2 * S * R^-1 * S * R^-16 * S ] R21.37 : Type {24,24}_4 Order 192 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S^-1 * R * S^-1 ] R21.38 : Type {43,86}_2 Order 172 mV = 86 mF = 43 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-28 ] R21.39 : Type {44,44}_2 Order 176 mV = 44 mF = 44 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-13 * S ] R21.40 : Type {84,84}_2 Order 168 mV = 84 mF = 84 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^10 * R^-30 * S ] R22.1 : Type {3,8}_42 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R22.2 : Type {3,8}_24 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^2 ] R22.3 : Type {4,8}_14 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 ] R22.4 : Type {4,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3 ] R22.5 : Type {4,46}_92 Order 368 mV = 23 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^46 ] R22.6 : Type {4,88}_88 Order 352 mV = 88 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^22 * R^2 * S^22 ] R22.7 : Type {5,8}_6 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R22.8 : Type {6,24}_24 Order 288 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^24 ] R22.9 : Type {6,24}_24 Order 288 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4 ] R22.10 : Type {6,24}_24 Order 288 mV = 8 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^24 ] R22.11 : Type {6,24}_12 Order 288 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ] R22.12 : Type {6,66}_22 Order 264 mV = 66 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^11 * R * S^-1 * R * S^10 ] R22.13 : Type {8,12}_8 Order 288 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-2 * R^4 * S^-4 ] R22.14 : Type {10,55}_22 Order 220 mV = 55 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-6 * R * S^3 * R^-1 * S^-2 ] R22.15 : Type {18,18}_6 Order 216 mV = 9 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^11 * S^-1 * R^5 ] R22.16 : Type {45,90}_2 Order 180 mV = 90 mF = 45 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^14 * R^-14 * S * R^-14 * S ] R22.17 : Type {46,46}_2 Order 184 mV = 46 mF = 46 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^30 * R^-15 ] R22.18 : Type {88,88}_2 Order 176 mV = 88 mF = 88 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-14 ] R23.1 : Type {4,48}_48 Order 384 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^48 ] R23.2 : Type {4,48}_48 Order 384 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R * S^-1 * R * S^11 ] R23.3 : Type {4,92}_46 Order 368 mV = 92 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^23 * R^2 * S^23 ] R23.4 : Type {6,69}_46 Order 276 mV = 69 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-12 * R * S * R^-1 * S^-10 ] R23.5 : Type {8,32}_32 Order 256 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^8 * R^4 * S^8 ] R23.6 : Type {8,32}_32 Order 256 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^8 * R * S^-1 * R * S^7 ] R23.7 : Type {12,20}_30 Order 240 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^-5 * R^6 * S^-5 ] R23.8 : Type {47,94}_2 Order 188 mV = 94 mF = 47 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^34 * R^-1 * S * R^-9 * S ] R23.9 : Type {48,48}_4 Order 192 mV = 48 mF = 48 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^2 * R^-2 * S * R^-1 * S * R^-17 ] R23.10 : Type {48,48}_2 Order 192 mV = 48 mF = 48 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^16 * T * R^-8 * S * T * S^-1 * R * S^-20 * R ] R23.11 : Type {92,92}_2 Order 184 mV = 92 mF = 92 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^30 * R^-14 * S ] R24.1 : Type {4,27}_54 Order 432 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-27 ] R24.2 : Type {4,50}_100 Order 400 mV = 25 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^50 ] R24.3 : Type {4,96}_96 Order 384 mV = 96 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^24 * R^2 * S^24 ] R24.4 : Type {6,26}_78 Order 312 mV = 13 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^26 ] R24.5 : Type {8,18}_36 Order 288 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-4 * R^4 * S^-5 ] R24.6 : Type {8,18}_72 Order 288 mV = 9 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^18 ] R24.7 : Type {10,14}_70 Order 280 mV = 7 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^14 ] R24.8 : Type {10,60}_12 Order 240 mV = 60 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-5 * R^-1 * S * R * S^-6 ] R24.9 : Type {12,30}_20 Order 240 mV = 15 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S * R * S^-7 * R * S^2 ] R24.10 : Type {14,56}_8 Order 224 mV = 56 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-11 * S ] R24.11 : Type {15,20}_6 Order 240 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R, S^-3 * R^-2 * S^-3 * R ] R24.12 : Type {26,52}_4 Order 208 mV = 52 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^4 * R^-2 * S * R^-1 * S * R^-17 ] R24.13 : Type {27,27}_4 Order 216 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^13 * R^-1 * S * R^-8 * S^2 ] R24.14 : Type {34,51}_6 Order 204 mV = 51 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-1 * S * R^-9 * S^2 * R^-1 ] R24.15 : Type {49,98}_2 Order 196 mV = 98 mF = 49 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^20 * T * R^11 * S^-1 * T * S * R^-1 * S * R^-12 * S ] R24.16 : Type {50,50}_2 Order 200 mV = 50 mF = 50 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^15 * S^-1 * R * S^-1 * T * S * R^-11 * T * S^-19 * R ] R24.17 : Type {96,96}_2 Order 192 mV = 96 mF = 96 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^16 * T * R^-8 * S * T * S^-1 * R * S^-21 ] R25.1 : Type {3,10}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] R25.2 : Type {3,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 ] R25.3 : Type {3,12}_24 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ] R25.4 : Type {3,24}_16 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2, S^-1 * R^-1 * S^5 * R^-1 * S^-6 ] R25.5 : Type {3,30}_10 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5, (S^-1 * R * S^-1)^5 ] R25.6 : Type {4,10}_20 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ] R25.7 : Type {4,10}_10 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 ] R25.8 : Type {4,12}_4 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12 ] R25.9 : Type {4,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 ] R25.10 : Type {4,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4 ] R25.11 : Type {4,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R25.12 : Type {4,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R25.13 : Type {4,16}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R25.14 : Type {4,16}_4 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^8 ] R25.15 : Type {4,28}_28 Order 448 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 ] R25.16 : Type {4,52}_52 Order 416 mV = 26 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^52 ] R25.17 : Type {4,100}_50 Order 400 mV = 100 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^25 * R^2 * S^25 ] R25.18 : Type {6,6}_6 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^-2 * S * R^-1 * S^-2 * R ] R25.19 : Type {6,6}_24 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R25.20 : Type {6,9}_36 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R25.21 : Type {6,12}_8 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ] R25.22 : Type {6,12}_8 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, (R * S^-2)^4 ] R25.23 : Type {6,21}_28 Order 336 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-5 ] R25.24 : Type {6,27}_54 Order 324 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-27 ] R25.25 : Type {6,75}_50 Order 300 mV = 75 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-13 * R^2 * S^-12 ] R25.26 : Type {10,10}_4 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, S^-1 * R^5 * S^-4 ] R25.27 : Type {10,10}_8 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ] R25.28 : Type {12,12}_12 Order 288 mV = 2 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^12 ] R25.29 : Type {12,12}_12 Order 288 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^12 ] R25.30 : Type {12,60}_10 Order 240 mV = 60 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^-5 * R^2 * S^-5 ] R25.31 : Type {15,30}_4 Order 240 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^15 ] R25.32 : Type {16,16}_8 Order 256 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ] R25.33 : Type {16,16}_8 Order 256 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-1 * R^11 * S^-2 * R * S^-1 ] R25.34 : Type {16,16}_8 Order 256 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^7 * S^3 ] R25.35 : Type {16,16}_8 Order 256 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^3 * R * S^-1 * R * S^4 ] R25.36 : Type {16,16}_4 Order 256 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R25.37 : Type {16,16}_8 Order 256 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 ] R25.38 : Type {16,16}_4 Order 256 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^2 * S^-3 * R^8 * S^-1 * R^2 ] R25.39 : Type {16,16}_8 Order 256 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R * S^-1 * R^2 * S^2 * R^-1 ] R25.40 : Type {22,55}_10 Order 220 mV = 55 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-6 * S^5 ] R25.41 : Type {28,28}_4 Order 224 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^22 * S^-1 * R * S^-1 * R^3 ] R25.42 : Type {51,102}_2 Order 204 mV = 102 mF = 51 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^34 * T * R^12 * S^-1 * T * S * R^-2 ] R25.43 : Type {52,52}_2 Order 208 mV = 52 mF = 52 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^18 * S^-1 * T * S * R^-11 * T * S^-20 * R ] R25.44 : Type {100,100}_2 Order 200 mV = 100 mF = 100 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^15 * S^-1 * R * S^-1 * T * S * R^-11 * T * S^-20 ] R26.1 : Type {3,10}_30 Order 1500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S ] R26.2 : Type {3,11}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-11, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R26.3 : Type {4,54}_108 Order 432 mV = 27 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 ] R26.4 : Type {4,104}_104 Order 416 mV = 104 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^26 * R^2 * S^26 ] R26.5 : Type {5,10}_10 Order 500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ] R26.6 : Type {6,6}_10 Order 600 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-2 * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S ] R26.7 : Type {6,28}_84 Order 336 mV = 14 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^28 ] R26.8 : Type {6,78}_26 Order 312 mV = 78 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^13 * R^2 * S^13 ] R26.9 : Type {8,36}_72 Order 288 mV = 18 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^9 * R^-3 * S^-5 * R * S^4 ] R26.10 : Type {10,15}_30 Order 300 mV = 3 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-15 ] R26.11 : Type {10,65}_26 Order 260 mV = 65 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-7 * R^2 * S^-6 ] R26.12 : Type {20,30}_12 Order 240 mV = 15 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^4 * S^-4 ] R26.13 : Type {28,56}_8 Order 224 mV = 56 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-8 * S^3 * R^-1 ] R26.14 : Type {53,106}_2 Order 212 mV = 106 mF = 53 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^21 * T * R^11 * S^-1 * T * S * R^-17 * S ] R26.15 : Type {54,54}_2 Order 216 mV = 54 mF = 54 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^20 * T * R^-12 * S * T * S^-21 ] R26.16 : Type {104,104}_2 Order 208 mV = 104 mF = 104 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^18 * S^-1 * T * S * R^-11 * T * S^-21 ] R27.1 : Type {4,30}_30 Order 480 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^30 ] R27.2 : Type {4,56}_56 Order 448 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 ] R27.3 : Type {4,56}_56 Order 448 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ] R27.4 : Type {4,108}_54 Order 432 mV = 108 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^27 * R^2 * S^27 ] R27.5 : Type {5,12}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R ] R27.6 : Type {8,20}_40 Order 320 mV = 10 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^20 ] R27.7 : Type {8,20}_40 Order 320 mV = 5 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^20 ] R27.8 : Type {8,72}_36 Order 288 mV = 72 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^9 * R * S^-2 * R * S^7 ] R27.9 : Type {8,72}_18 Order 288 mV = 72 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^9 * R^2 * S^9 ] R27.10 : Type {9,36}_8 Order 288 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-9 ] R27.11 : Type {14,63}_18 Order 252 mV = 63 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^-2 * S^-5 ] R27.12 : Type {20,60}_6 Order 240 mV = 60 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-1 * R^15 * S^-2 * R * S^-1 ] R27.13 : Type {30,30}_4 Order 240 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^15 * S^-2 * R^11 ] R27.14 : Type {38,57}_6 Order 228 mV = 57 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-1 * R^16 * S^-2 ] R27.15 : Type {55,110}_2 Order 220 mV = 110 mF = 55 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^37 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R27.16 : Type {56,56}_4 Order 224 mV = 56 mF = 56 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^21 * S^-1 * R * S^-1 * R^2 * S^-1 ] R27.17 : Type {56,56}_2 Order 224 mV = 56 mF = 56 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * T * R^12 * S^-1 * T * R^-1 * S^2 ] R27.18 : Type {108,108}_2 Order 216 mV = 108 mF = 108 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^20 * T * R^-12 * S * T * S^-20 * R ] R28.1 : Type {3,12}_18 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-2 * R^-1 * S^2 * R^2 * S^-2 * R * S^3 ] R28.2 : Type {3,12}_18 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S ] R28.3 : Type {3,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-3 * R * S^-2 * R * S^-1 ] R28.4 : Type {3,18}_6 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^18 ] R28.5 : Type {3,24}_12 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^3, S^5 * R * S^-2 * R * S^-2 * R * S^5 ] R28.6 : Type {4,6}_12 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R28.7 : Type {4,58}_116 Order 464 mV = 29 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 ] R28.8 : Type {4,112}_112 Order 448 mV = 112 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^28 * R^2 * S^28 ] R28.9 : Type {6,6}_6 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R28.10 : Type {6,6}_6 Order 648 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R28.11 : Type {6,6}_18 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1 ] R28.12 : Type {6,6}_18 Order 648 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-1 * S * R^-1 * S * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-2 ] R28.13 : Type {6,12}_4 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R28.14 : Type {6,12}_12 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ] R28.15 : Type {6,12}_4 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ] R28.16 : Type {6,12}_12 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, (R * S^-3)^2 ] R28.17 : Type {6,12}_12 Order 432 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R28.18 : Type {6,12}_12 Order 432 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^12 ] R28.19 : Type {6,12}_12 Order 432 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ] R28.20 : Type {6,12}_12 Order 432 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ] R28.21 : Type {6,30}_30 Order 360 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^4 * R * S^-1 * R * S^5 ] R28.22 : Type {6,30}_30 Order 360 mV = 10 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^30 ] R28.23 : Type {6,30}_30 Order 360 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^30 ] R28.24 : Type {6,84}_28 Order 336 mV = 84 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^14 * R * S^-1 * R * S^13 ] R28.25 : Type {9,18}_18 Order 324 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-9 ] R28.26 : Type {9,18}_6 Order 324 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, (S * R^-1 * S)^3 ] R28.27 : Type {9,18}_6 Order 324 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^-2 * R^-3 * S^-4, (S * R^-1 * S)^3 ] R28.28 : Type {10,16}_80 Order 320 mV = 8 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^16 ] R28.29 : Type {10,70}_14 Order 280 mV = 70 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^7 * R * S^-1 * R * S^6 ] R28.30 : Type {12,24}_24 Order 288 mV = 8 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R28.31 : Type {12,24}_24 Order 288 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^-6 * R^-6 * S^-6 ] R28.32 : Type {12,24}_24 Order 288 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^5 * S * R^-1 * S^-2 ] R28.33 : Type {18,63}_14 Order 252 mV = 63 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-2 * S^4 ] R28.34 : Type {21,42}_6 Order 252 mV = 21 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^2 * S^-1 * R^3 * S^-2 * R^10 * S^-1 * R^2 ] R28.35 : Type {30,60}_4 Order 240 mV = 60 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^23 * S^-2 * R * S^-2 * R^2 ] R28.36 : Type {57,114}_2 Order 228 mV = 114 mF = 57 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^19 * R^-36 * S ] R28.37 : Type {58,58}_2 Order 232 mV = 58 mF = 58 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^38 * S^-20 ] R28.38 : Type {112,112}_2 Order 224 mV = 112 mF = 112 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * T * R^12 * S^-1 * T * R^-1 * S * R^-1 ] R29.1 : Type {4,6}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R29.2 : Type {4,18}_36 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 ] R29.3 : Type {4,32}_32 Order 512 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 ] R29.4 : Type {4,32}_32 Order 512 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R29.5 : Type {4,60}_60 Order 480 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 ] R29.6 : Type {4,116}_58 Order 464 mV = 116 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^29 * R^2 * S^29 ] R29.7 : Type {5,8}_20 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, (R * S^-3)^2 ] R29.8 : Type {5,8}_10 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 ] R29.9 : Type {6,6}_8 Order 672 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R29.10 : Type {6,10}_10 Order 480 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-4)^2 ] R29.11 : Type {6,10}_4 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, (R * S^-3 * R)^2 ] R29.12 : Type {6,10}_8 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 ] R29.13 : Type {6,24}_8 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R29.14 : Type {6,24}_4 Order 384 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S^4 ] R29.15 : Type {6,87}_58 Order 348 mV = 87 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-15 * R * S * R^-1 * S^-13 ] R29.16 : Type {8,12}_12 Order 384 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 ] R29.17 : Type {8,12}_12 Order 384 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ] R29.18 : Type {8,12}_12 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^12 ] R29.19 : Type {8,12}_6 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^3 * S^2 * R^-1 * S^-1, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ] R29.20 : Type {8,12}_12 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1 ] R29.21 : Type {8,12}_24 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S * R * S^-2 * R^2 * S^-2 * R * S ] R29.22 : Type {8,12}_24 Order 384 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 ] R29.23 : Type {8,12}_12 Order 384 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ] R29.24 : Type {8,40}_20 Order 320 mV = 20 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^10 * R^-3 * S^-3 * T * R^-1 * S^-1 * T * S^6 ] R29.25 : Type {8,40}_20 Order 320 mV = 20 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^10 * R * S^-1 * R * S^9 ] R29.26 : Type {18,18}_4 Order 288 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-1 * S * R^-2 * S * R^-9 * S * R^-2 ] R29.27 : Type {32,32}_4 Order 256 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^7 * R^-1 * S^3 * R^-2 * S * R^-17 * S ] R29.28 : Type {32,32}_8 Order 256 mV = 16 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^12 * S^-4 ] R29.29 : Type {32,32}_4 Order 256 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-3 * R^8 * S^-2 * R ] R29.30 : Type {59,118}_2 Order 236 mV = 118 mF = 59 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R * T * S * R^-13 * T ] R29.31 : Type {60,60}_2 Order 240 mV = 60 mF = 60 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^37 * S^-22 * R ] R29.32 : Type {116,116}_2 Order 232 mV = 116 mF = 116 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^38 * S^-19 * R ] R30.1 : Type {4,33}_66 Order 528 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-33 ] R30.2 : Type {4,62}_124 Order 496 mV = 31 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 ] R30.3 : Type {4,120}_120 Order 480 mV = 120 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^30 * R^2 * S^30 ] R30.4 : Type {6,32}_96 Order 384 mV = 16 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^32 ] R30.5 : Type {8,22}_88 Order 352 mV = 11 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^22 ] R30.6 : Type {12,14}_84 Order 336 mV = 7 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^14 ] R30.7 : Type {14,70}_10 Order 280 mV = 70 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-1 * S^4 * R^-5 * S^4 ] R30.8 : Type {22,66}_6 Order 264 mV = 66 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-1 * S^3 * R^-15 * S ] R30.9 : Type {26,65}_10 Order 260 mV = 65 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-8 * S^5 ] R30.10 : Type {33,33}_4 Order 264 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^18 * S^-2 * R^11 ] R30.11 : Type {61,122}_2 Order 244 mV = 122 mF = 61 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^24 * R^-15 * S * R^-19 * S ] R30.12 : Type {62,62}_2 Order 248 mV = 62 mF = 62 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^21 * S^-1 * R^15 * S^-25 ] R30.13 : Type {120,120}_2 Order 240 mV = 120 mF = 120 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^37 * S^-23 ] R31.1 : Type {3,21}_8 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-7 * R^-1 * S^6 * R^-1 * S^-1, S^3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S ] R31.2 : Type {3,30}_6 Order 900 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^2 * R * S^-9 * R * S^9 ] R31.3 : Type {4,6}_30 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R31.4 : Type {4,14}_8 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^5 ] R31.5 : Type {4,14}_8 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R31.6 : Type {4,24}_8 Order 576 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^6 ] R31.7 : Type {4,24}_8 Order 576 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^3 * R^-1 ] R31.8 : Type {4,64}_64 Order 512 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 ] R31.9 : Type {4,64}_64 Order 512 mV = 32 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R * S^-1 * R * S^15 ] R31.10 : Type {4,124}_62 Order 496 mV = 124 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^31 * R^2 * S^31 ] R31.11 : Type {5,20}_12 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S * R^-1 * S)^3, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R31.12 : Type {6,6}_6 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ] R31.13 : Type {6,33}_66 Order 396 mV = 11 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-33 ] R31.14 : Type {6,93}_62 Order 372 mV = 93 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-16 * R^2 * S^-15 ] R31.15 : Type {15,30}_10 Order 300 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, R^9 * S^-1 * R^4 * S^-1 ] R31.16 : Type {18,36}_8 Order 288 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-4 * S^2 * R^-1 * S ] R31.17 : Type {24,24}_12 Order 288 mV = 8 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^6 * S^-5 ] R31.18 : Type {24,24}_12 Order 288 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^6 * S^-5 ] R31.19 : Type {24,24}_6 Order 288 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^6 * S^5 ] R31.20 : Type {24,24}_6 Order 288 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-4 * S * R^-1 ] R31.21 : Type {63,126}_2 Order 252 mV = 126 mF = 63 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^23 * R^-15 * S * R^-23 ] R31.22 : Type {64,64}_4 Order 256 mV = 64 mF = 64 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^6 * R^-1 * S^3 * R^-2 * S * R^-18 ] R31.23 : Type {64,64}_2 Order 256 mV = 64 mF = 64 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-15 * S ] R31.24 : Type {124,124}_2 Order 248 mV = 124 mF = 124 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^21 * S^-1 * R^15 * S^-24 * R ] R32.1 : Type {4,66}_132 Order 528 mV = 33 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 ] R32.2 : Type {4,128}_128 Order 512 mV = 128 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^32 * R^2 * S^32 ] R32.3 : Type {6,34}_102 Order 408 mV = 17 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^34 ] R32.4 : Type {6,96}_32 Order 384 mV = 96 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^16 * R^2 * S^16 ] R32.5 : Type {8,44}_88 Order 352 mV = 22 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^11 * R * S^-4 * T * R^-3 * T * S^7 ] R32.6 : Type {10,18}_90 Order 360 mV = 9 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^18 ] R32.7 : Type {10,80}_16 Order 320 mV = 80 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^8 * R * S^-2 * R * S^6 ] R32.8 : Type {16,20}_80 Order 320 mV = 10 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^2 * S * T * S^-3 * R^-6 * S^-1 * T * S^4 ] R32.9 : Type {18,72}_8 Order 288 mV = 72 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^11 * S^-3 * R * S^-1 ] R32.10 : Type {34,68}_4 Order 272 mV = 68 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^8 * R^-1 * S^3 * R^-2 * S * R^-18 ] R32.11 : Type {65,130}_2 Order 260 mV = 130 mF = 65 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R32.12 : Type {66,66}_2 Order 264 mV = 66 mF = 66 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ] R32.13 : Type {128,128}_2 Order 256 mV = 128 mF = 128 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-16 ] R33.1 : Type {3,8}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ] R33.2 : Type {3,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, (S * R^-1 * S)^8 ] R33.3 : Type {3,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R33.4 : Type {3,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2 ] R33.5 : Type {4,6}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^8, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R33.6 : Type {4,6}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R33.7 : Type {4,6}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, R * S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] R33.8 : Type {4,6}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R33.9 : Type {4,8}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^8 ] R33.10 : Type {4,8}_16 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S ] R33.11 : Type {4,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R33.12 : Type {4,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R33.13 : Type {4,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-2 * R ] R33.14 : Type {4,8}_16 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 ] R33.15 : Type {4,8}_16 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R33.16 : Type {4,8}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R33.17 : Type {4,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] R33.18 : Type {4,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S ] R33.19 : Type {4,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4 ] R33.20 : Type {4,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S ] R33.21 : Type {4,12}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R33.22 : Type {4,12}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 ] R33.23 : Type {4,12}_24 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ] R33.24 : Type {4,12}_24 Order 768 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R33.25 : Type {4,20}_40 Order 640 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^20 ] R33.26 : Type {4,36}_36 Order 576 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^36 ] R33.27 : Type {4,36}_18 Order 576 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ] R33.28 : Type {4,36}_36 Order 576 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ] R33.29 : Type {4,68}_68 Order 544 mV = 34 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 ] R33.30 : Type {4,132}_66 Order 528 mV = 132 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^33 * R^2 * S^33 ] R33.31 : Type {5,10}_8 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-2 * R^-2 * S * R^-2 * S^2 ] R33.32 : Type {6,6}_8 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-1 * R)^4 ] R33.33 : Type {6,6}_4 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R)^4 ] R33.34 : Type {6,6}_8 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R33.35 : Type {6,6}_8 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4 ] R33.36 : Type {6,6}_8 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, (S^-1 * R^2 * S^-1)^3 ] R33.37 : Type {6,7}_14 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-7 ] R33.38 : Type {6,7}_8 Order 672 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7, (R * S^-2)^4 ] R33.39 : Type {8,8}_8 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^8 ] R33.40 : Type {8,8}_8 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 ] R33.41 : Type {8,8}_8 Order 512 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 ] R33.42 : Type {8,8}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 ] R33.43 : Type {8,8}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 ] R33.44 : Type {8,8}_8 Order 512 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1 ] R33.45 : Type {8,8}_8 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ] R33.46 : Type {8,8}_8 Order 512 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, S^3 * R^3 * S^3 * R^-1 ] R33.47 : Type {8,8}_8 Order 512 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ] R33.48 : Type {8,8}_16 Order 512 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R33.49 : Type {8,8}_8 Order 512 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R^-1 * S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R33.50 : Type {8,8}_4 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ] R33.51 : Type {8,8}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^8, S * R * S^-1 * R^3 * S * R^-2 * S ] R33.52 : Type {8,8}_8 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, S * R * S^-1 * R^3 * S * R^-2 * S ] R33.53 : Type {8,8}_4 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ] R33.54 : Type {8,24}_6 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ] R33.55 : Type {8,24}_12 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^3 * S^2 * R^-1 * S^-1 ] R33.56 : Type {8,24}_24 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R33.57 : Type {8,24}_24 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-5 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-5 ] R33.58 : Type {8,24}_24 Order 384 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^24 ] R33.59 : Type {8,24}_24 Order 384 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^24 ] R33.60 : Type {8,24}_24 Order 384 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R^-3 * S^6 ] R33.61 : Type {8,24}_12 Order 384 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^6 * R^4 * S^6 ] R33.62 : Type {8,24}_24 Order 384 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^6 * R^4 * S^6 ] R33.63 : Type {8,24}_24 Order 384 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-5 * R^-1 * S * R^-1 * S^-6 ] R33.64 : Type {8,88}_22 Order 352 mV = 88 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^11 * R * S^-2 * R * S^9 ] R33.65 : Type {8,88}_44 Order 352 mV = 88 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^11 * R^2 * S^11 ] R33.66 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, R * S^-1 * R^4 * S^-1 * R * S^2 ] R33.67 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^4 * S^-1 * R * S^2 ] R33.68 : Type {12,12}_4 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-5 ] R33.69 : Type {12,12}_4 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S * R^-1, R^12 ] R33.70 : Type {12,12}_8 Order 384 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^12 ] R33.71 : Type {12,12}_4 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^12 ] R33.72 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^12 ] R33.73 : Type {12,12}_8 Order 384 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-2 * R^2 * S^3 * R^-1 ] R33.74 : Type {12,12}_8 Order 384 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ] R33.75 : Type {12,28}_42 Order 336 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^7 * R^6 * S^2 * T * S^-2 * T * S^3 ] R33.76 : Type {14,77}_22 Order 308 mV = 77 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R * S^-2 * R^-1 * S^6 ] R33.77 : Type {20,20}_4 Order 320 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S^2 * R^-1 * S * R^-8 * S^2 * R^-2 * S^2 ] R33.78 : Type {36,36}_4 Order 288 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-2 * S * R^-2 * S * R^-9 * S^3 ] R33.79 : Type {36,36}_4 Order 288 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^21 * S^-2 * R^11 ] R33.80 : Type {36,36}_4 Order 288 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^9 * R^-3 * S * R^-1 * S * R^-19 * S ] R33.81 : Type {46,69}_6 Order 276 mV = 69 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-1 * S^3 * R^-14 * S^2 ] R33.82 : Type {67,134}_2 Order 268 mV = 134 mF = 67 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^49 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R33.83 : Type {68,68}_2 Order 272 mV = 68 mF = 68 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^50 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ] R33.84 : Type {132,132}_2 Order 264 mV = 132 mF = 132 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R34.1 : Type {4,5}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R^-1 * S * R^-1 * S^2)^3 ] R34.2 : Type {4,5}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R34.3 : Type {4,15}_6 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ] R34.4 : Type {4,70}_140 Order 560 mV = 35 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 ] R34.5 : Type {4,136}_136 Order 544 mV = 136 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^34 * R^2 * S^34 ] R34.6 : Type {5,5}_12 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (S^-1 * R^2 * S^-1)^3 ] R34.7 : Type {5,5}_10 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (R * S^-1)^6, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 ] R34.8 : Type {6,36}_36 Order 432 mV = 18 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^36 ] R34.9 : Type {6,36}_36 Order 432 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^36 ] R34.10 : Type {6,102}_34 Order 408 mV = 102 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^17 * R * S^-1 * R * S^16 ] R34.11 : Type {8,10}_6 Order 480 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ] R34.12 : Type {9,12}_18 Order 432 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R34.13 : Type {10,85}_34 Order 340 mV = 85 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-9 * R * S * R^-1 * S^-7 ] R34.14 : Type {12,42}_28 Order 336 mV = 21 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^7 * R * S^-3 * R * S^4 ] R34.15 : Type {15,15}_6 Order 360 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-3 * S^-2 * R^2 ] R34.16 : Type {36,72}_8 Order 288 mV = 72 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^13 * S^-4 * R ] R34.17 : Type {69,138}_2 Order 276 mV = 138 mF = 69 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^51 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R34.18 : Type {70,70}_2 Order 280 mV = 70 mF = 70 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^52 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ] R34.19 : Type {136,136}_2 Order 272 mV = 136 mF = 136 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^50 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R35.1 : Type {4,72}_72 Order 576 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 ] R35.2 : Type {4,72}_72 Order 576 mV = 36 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^18 * R * S^-1 * R * S^17 ] R35.3 : Type {4,140}_70 Order 560 mV = 140 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^35 * R^2 * S^35 ] R35.4 : Type {6,20}_30 Order 480 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-6 ] R35.5 : Type {6,20}_20 Order 480 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^-2 * S^-4 * R ] R35.6 : Type {6,105}_70 Order 420 mV = 105 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-18 * R * S * R^-1 * S^-16 ] R35.7 : Type {8,48}_48 Order 384 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^12 * R^2 * S^3 * T * S^-1 * R^-2 * T * S^8 ] R35.8 : Type {8,48}_48 Order 384 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^12 * R * S^-1 * R * S^11 ] R35.9 : Type {12,16}_48 Order 384 mV = 8 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^16 ] R35.10 : Type {12,16}_48 Order 384 mV = 8 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^3 * R * S^-1 * R * S^4, R^12 ] R35.11 : Type {12,84}_14 Order 336 mV = 84 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^7 * R^2 * S^7 ] R35.12 : Type {16,80}_20 Order 320 mV = 80 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^2 * S^5 ] R35.13 : Type {16,80}_10 Order 320 mV = 80 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, S^-2 * R^9 * S^-3 * R * S^-1 ] R35.14 : Type {20,40}_8 Order 320 mV = 20 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^13 * S^-3 * R * S^-1 ] R35.15 : Type {20,40}_8 Order 320 mV = 20 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^6 * S^-1 * R^11 * S^-1 * R ] R35.16 : Type {22,77}_14 Order 308 mV = 77 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-4 * S^5 ] R35.17 : Type {71,142}_2 Order 284 mV = 142 mF = 71 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^53 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R35.18 : Type {72,72}_4 Order 288 mV = 72 mF = 72 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^10 * R^-3 * S * R^-1 * S * R^-20 ] R35.19 : Type {72,72}_2 Order 288 mV = 72 mF = 72 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^54 * T * R^13 * S^-1 * T * R^-1 * S * R^-1 ] R35.20 : Type {140,140}_2 Order 280 mV = 140 mF = 140 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^52 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R36.1 : Type {3,16}_28 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] R36.2 : Type {3,16}_16 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-3 * R^-1 * S^4 * R^-1 * S^-3 * R * S^-1 ] R36.3 : Type {3,20}_6 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^20 ] R36.4 : Type {4,14}_4 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^14 ] R36.5 : Type {4,39}_78 Order 624 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-39 ] R36.6 : Type {4,74}_148 Order 592 mV = 37 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 ] R36.7 : Type {4,144}_144 Order 576 mV = 144 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^36 * R^2 * S^36 ] R36.8 : Type {5,15}_10 Order 600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, (S^-1 * R)^5 ] R36.9 : Type {6,8}_4 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 ] R36.10 : Type {6,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^8, (R * S^-3 * R)^2 ] R36.11 : Type {6,10}_6 Order 600 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^10 ] R36.12 : Type {6,10}_6 Order 600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^10 ] R36.13 : Type {6,38}_114 Order 456 mV = 19 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^38 ] R36.14 : Type {8,26}_104 Order 416 mV = 13 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^26 ] R36.15 : Type {10,20}_20 Order 400 mV = 4 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^20 ] R36.16 : Type {10,20}_20 Order 400 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^20 ] R36.17 : Type {10,20}_20 Order 400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^10 ] R36.18 : Type {10,90}_18 Order 360 mV = 90 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^9 * R * S^-3 * R * S^6 ] R36.19 : Type {14,14}_14 Order 392 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^14 ] R36.20 : Type {14,14}_14 Order 392 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^14, (R * S^-1 * R^5)^2 ] R36.21 : Type {14,84}_12 Order 336 mV = 84 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-5 * S^4, S^5 * R * S^-5 * R * S^2 ] R36.22 : Type {20,80}_16 Order 320 mV = 80 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^2 * S^-4 ] R36.23 : Type {21,28}_6 Order 336 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-3 * S^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R36.24 : Type {26,78}_6 Order 312 mV = 78 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^18 * S^-1 * R^3 * S^-1 * R^3 ] R36.25 : Type {38,76}_4 Order 304 mV = 76 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^12 * R^-3 * S * R^-1 * S * R^-20 ] R36.26 : Type {39,39}_4 Order 312 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^24 * S^-2 * R^11 ] R36.27 : Type {50,75}_6 Order 300 mV = 75 mF = 25 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-1 * S * R^-3 * S * R^-16 * S ] R36.28 : Type {73,146}_2 Order 292 mV = 146 mF = 73 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^55 * T * R^14 * T * R^-2 * S ] R36.29 : Type {74,74}_2 Order 296 mV = 74 mF = 74 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * R^14 * T * R^-3 ] R36.30 : Type {144,144}_2 Order 288 mV = 144 mF = 144 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^54 * T * R^13 * S^-1 * T * R^-1 * S^2 ] R37.1 : Type {3,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, (S * R^-1 * S)^6 ] R37.2 : Type {3,15}_20 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S^-15 ] R37.3 : Type {3,18}_12 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2, (S * R^-1 * S)^6 ] R37.4 : Type {3,18}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^5 * R^2 * S^-6, (S * R^-1 * S^3)^3, (S * R^-1 * S)^6 ] R37.5 : Type {3,24}_12 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-4 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^7 ] R37.6 : Type {3,24}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 ] R37.7 : Type {3,24}_12 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^3, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ] R37.8 : Type {4,6}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R37.9 : Type {4,8}_12 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^8, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R37.10 : Type {4,8}_6 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, (R * S^-2)^4, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-3 ] R37.11 : Type {4,8}_12 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R37.12 : Type {4,8}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] R37.13 : Type {4,10}_12 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R37.14 : Type {4,12}_12 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^12 ] R37.15 : Type {4,12}_12 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (R * S^-1)^6 ] R37.16 : Type {4,12}_12 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^12 ] R37.17 : Type {4,12}_12 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1 ] R37.18 : Type {4,20}_30 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-2 ] R37.19 : Type {4,40}_40 Order 640 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^40 ] R37.20 : Type {4,40}_20 Order 640 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^10 * R^2 * S^5 * R^-1 * S^-1 * R * S^4 ] R37.21 : Type {4,76}_76 Order 608 mV = 38 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 ] R37.22 : Type {4,148}_74 Order 592 mV = 148 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^37 * R^2 * S^37 ] R37.23 : Type {6,6}_12 Order 864 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R37.24 : Type {6,6}_12 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ] R37.25 : Type {6,12}_24 Order 576 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R37.26 : Type {6,12}_12 Order 576 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R37.27 : Type {6,12}_12 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R37.28 : Type {6,12}_24 Order 576 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R37.29 : Type {6,12}_12 Order 576 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^12 ] R37.30 : Type {6,12}_12 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^12 ] R37.31 : Type {6,15}_30 Order 540 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ] R37.32 : Type {6,30}_20 Order 480 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^4 * R^2 * S * R^-1 * S^-5 ] R37.33 : Type {6,39}_78 Order 468 mV = 13 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-39 ] R37.34 : Type {6,111}_74 Order 444 mV = 111 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-19 * R^2 * S^-18 ] R37.35 : Type {8,8}_12 Order 576 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R^-1 * S * R^2 * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] R37.36 : Type {8,8}_12 Order 576 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^6 ] R37.37 : Type {9,18}_12 Order 432 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R37.38 : Type {10,10}_6 Order 480 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, (R * S^-1 * R^3)^2 ] R37.39 : Type {12,12}_6 Order 432 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R37.40 : Type {12,12}_6 Order 432 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R37.41 : Type {12,12}_6 Order 432 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ] R37.42 : Type {12,12}_6 Order 432 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, S^-1 * R^6 * S^-5 ] R37.43 : Type {12,12}_6 Order 432 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-1 * R^6 * S^-5 ] R37.44 : Type {12,24}_8 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, R * S^-1 * R^4 * S^-1 * R * S^2 ] R37.45 : Type {12,24}_4 Order 384 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 ] R37.46 : Type {12,24}_8 Order 384 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12 ] R37.47 : Type {12,24}_4 Order 384 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12 ] R37.48 : Type {20,20}_6 Order 360 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R^5 * S^-1 * R * S^-1 * R ] R37.49 : Type {21,42}_4 Order 336 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^2 * R^-1 * S^3 * R^-2 * S * R^-12 ] R37.50 : Type {27,54}_6 Order 324 mV = 27 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R * S^-2 * R^4 * S^-1 * R^11 * S^-1 * R^4 * S^-1 * R ] R37.51 : Type {40,40}_4 Order 320 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^33 * S^-1 * R * S^-1 * R^4 ] R37.52 : Type {40,40}_4 Order 320 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^4 * R^-1 * S * R^-8 * S^2 * R^-2 * S * R^-1 ] R37.53 : Type {75,150}_2 Order 300 mV = 150 mF = 75 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^29 * R^-16 * S * R^-28 ] R37.54 : Type {76,76}_2 Order 304 mV = 76 mF = 76 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^29 * S^-1 * R^16 * S^-29 * R ] R37.55 : Type {148,148}_2 Order 296 mV = 148 mF = 148 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * R^14 * T * R^-2 * S ] R38.1 : Type {4,78}_156 Order 624 mV = 39 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 ] R38.2 : Type {4,152}_152 Order 608 mV = 152 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^38 * R^2 * S^38 ] R38.3 : Type {6,40}_120 Order 480 mV = 20 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^40 ] R38.4 : Type {6,114}_38 Order 456 mV = 114 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^19 * R^2 * S^19 ] R38.5 : Type {8,15}_60 Order 480 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-15 ] R38.6 : Type {8,52}_104 Order 416 mV = 26 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^13 * R^-3 * S^-3 * T * S * R * T * S^9 ] R38.7 : Type {10,95}_38 Order 380 mV = 95 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-10 * R * S^2 * R^-1 * S^-7 ] R38.8 : Type {12,32}_96 Order 384 mV = 16 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^8 * R^6 * S * T * S^-3 * T * S^4 ] R38.9 : Type {28,42}_12 Order 336 mV = 21 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-6 * S^2 * R^-1 ] R38.10 : Type {77,154}_2 Order 308 mV = 154 mF = 77 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^32 * R^-16 * S * R^-26 * S ] R38.11 : Type {78,78}_2 Order 312 mV = 78 mF = 78 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^44 * S^-34 ] R38.12 : Type {152,152}_2 Order 304 mV = 152 mF = 152 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^29 * S^-1 * R^16 * S^-30 ] R39.1 : Type {4,42}_42 Order 672 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^42 ] R39.2 : Type {4,80}_80 Order 640 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 ] R39.3 : Type {4,80}_80 Order 640 mV = 40 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 * R * S^-1 * R * S^19 ] R39.4 : Type {4,156}_78 Order 624 mV = 156 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^39 * R^2 * S^39 ] R39.5 : Type {8,9}_18 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-9 ] R39.6 : Type {8,28}_56 Order 448 mV = 14 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^28 ] R39.7 : Type {8,28}_56 Order 448 mV = 7 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^28 ] R39.8 : Type {8,104}_26 Order 416 mV = 104 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^13 * R^2 * S^13 ] R39.9 : Type {8,104}_52 Order 416 mV = 104 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^13 * R * S^-2 * R * S^11 ] R39.10 : Type {10,12}_20 Order 480 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R^-4 * S^-2 * R * S^-1 ] R39.11 : Type {12,48}_16 Order 384 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^8 * R * S^-1 * R * S^7 ] R39.12 : Type {12,48}_16 Order 384 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S * R * S^-2 * R^3 * S^5 ] R39.13 : Type {14,91}_26 Order 364 mV = 91 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^2 * R * S^-9 * R * S^2 ] R39.14 : Type {16,24}_48 Order 384 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^4 * R * S^-2 * R^-1 * S^6 ] R39.15 : Type {16,24}_48 Order 384 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * T * S^-3 * T * S * R^-8 * S^6 ] R39.16 : Type {28,84}_6 Order 336 mV = 84 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-4 * S * R^-3 * S * R^-19 ] R39.17 : Type {42,42}_4 Order 336 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^27 * S^-2 * R^11 ] R39.18 : Type {79,158}_2 Order 316 mV = 158 mF = 79 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * S^-32 * R ] R39.19 : Type {80,80}_4 Order 320 mV = 80 mF = 80 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^32 * S^-1 * R * S^-1 * R^3 * S^-1 ] R39.20 : Type {80,80}_2 Order 320 mV = 80 mF = 80 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * S^-32 * R ] R39.21 : Type {156,156}_2 Order 312 mV = 156 mF = 156 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^44 * S^-33 * R ] R40.1 : Type {4,30}_20 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R40.2 : Type {4,82}_164 Order 656 mV = 41 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 ] R40.3 : Type {4,160}_160 Order 640 mV = 160 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^40 * R^2 * S^40 ] R40.4 : Type {6,16}_16 Order 576 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ] R40.5 : Type {6,42}_42 Order 504 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^-7 * R * S^4 * R^-1 * S^-3 ] R40.6 : Type {6,42}_42 Order 504 mV = 21 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^42 ] R40.7 : Type {6,42}_42 Order 504 mV = 14 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^42 ] R40.8 : Type {6,120}_40 Order 480 mV = 120 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^20 * R * S^-1 * R * S^19 ] R40.9 : Type {7,8}_4 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (S * R^-1 * S)^3 ] R40.10 : Type {7,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ] R40.11 : Type {9,36}_6 Order 432 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ] R40.12 : Type {10,22}_110 Order 440 mV = 11 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^22 ] R40.13 : Type {12,18}_36 Order 432 mV = 3 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^18 ] R40.14 : Type {12,18}_36 Order 432 mV = 9 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^18 ] R40.15 : Type {12,96}_32 Order 384 mV = 96 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^8 * R * S^-4 * R * S^4 ] R40.16 : Type {18,90}_10 Order 360 mV = 90 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^18 ] R40.17 : Type {22,88}_8 Order 352 mV = 88 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-2 * S * R^-17 * S * R^-1 ] R40.18 : Type {30,30}_6 Order 360 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R40.19 : Type {30,30}_6 Order 360 mV = 10 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^20 * S^-1 * R * S^-2 * R * S^-1 * R^4 ] R40.20 : Type {34,85}_10 Order 340 mV = 85 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^12 * S^-5 ] R40.21 : Type {42,84}_4 Order 336 mV = 84 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^35 * S^-1 * R * S^-1 * R^4 ] R40.22 : Type {81,162}_2 Order 324 mV = 162 mF = 81 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^65 * T * R^14 * T * S ] R40.23 : Type {82,82}_2 Order 328 mV = 82 mF = 82 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * T * R^14 * T * R^-1 ] R40.24 : Type {160,160}_2 Order 320 mV = 160 mF = 160 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * S^-33 ] R41.1 : Type {3,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ] R41.2 : Type {3,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, (S * R^-1 * S)^6 ] R41.3 : Type {4,6}_40 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R41.4 : Type {4,12}_10 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R41.5 : Type {4,12}_20 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R * S ] R41.6 : Type {4,20}_4 Order 800 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 ] R41.7 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ] R41.8 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R41.9 : Type {4,24}_12 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R41.10 : Type {4,24}_12 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R41.11 : Type {4,24}_24 Order 768 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^24 ] R41.12 : Type {4,24}_24 Order 768 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S * R * S^-5 * R * S^3 * R^-1 * S^-3 ] R41.13 : Type {4,24}_12 Order 768 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^5 * R^-1 * S^-2 ] R41.14 : Type {4,24}_24 Order 768 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R41.15 : Type {4,44}_44 Order 704 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^44 ] R41.16 : Type {4,84}_84 Order 672 mV = 42 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 ] R41.17 : Type {4,164}_82 Order 656 mV = 164 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^41 * R^2 * S^41 ] R41.18 : Type {5,6}_10 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-2 * R * S^-1 * R)^2 ] R41.19 : Type {5,6}_20 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1)^4, R^2 * S^-3 * R * S^-1 * R^-2 * S^3 * R^-1 * S ] R41.20 : Type {5,20}_8 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R41.21 : Type {5,20}_4 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2 ] R41.22 : Type {6,6}_12 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2 ] R41.23 : Type {6,8}_6 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ] R41.24 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R41.25 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1 * R)^4 ] R41.26 : Type {6,8}_12 Order 768 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R41.27 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R41.28 : Type {6,8}_6 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S ] R41.29 : Type {6,8}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R41.30 : Type {6,8}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R41.31 : Type {6,8}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R41.32 : Type {6,8}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R41.33 : Type {6,8}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R41.34 : Type {6,33}_44 Order 528 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^4 * R * S^-1 * R^2 * S^-1 * R * S^5 ] R41.35 : Type {6,123}_82 Order 492 mV = 123 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-21 * R * S * R^-1 * S^-19 ] R41.36 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ] R41.37 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ] R41.38 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R41.39 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R41.40 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-3 * R^4 * S^-5 ] R41.41 : Type {8,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R41.42 : Type {8,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R41.43 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5 ] R41.44 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4 ] R41.45 : Type {8,16}_16 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4 ] R41.46 : Type {8,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ] R41.47 : Type {8,16}_16 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4 ] R41.48 : Type {8,16}_4 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-3 * R^4 * S^-5 ] R41.49 : Type {8,16}_8 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-3 * R^4 * S^-5 ] R41.50 : Type {8,56}_28 Order 448 mV = 28 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^14 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^10 ] R41.51 : Type {8,56}_28 Order 448 mV = 28 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^14 * R * S^-1 * R * S^13 ] R41.52 : Type {12,12}_6 Order 480 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R41.53 : Type {12,12}_6 Order 480 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^3 * S^-1 * R * S^2, S * R^-1 * S * R^3 * S * R^-1 * S^2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ] R41.54 : Type {16,48}_12 Order 384 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S * R * S^-9 * R * S^2 ] R41.55 : Type {16,48}_24 Order 384 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-9 * R * S^2 ] R41.56 : Type {16,48}_24 Order 384 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^5 * R * S^-5 * R * S^2 ] R41.57 : Type {16,48}_12 Order 384 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^2 * S^-3 * R^7 * S^-3 * R ] R41.58 : Type {20,20}_10 Order 400 mV = 10 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^2 * R^-2 * S * R^-8 * S * R^-6 ] R41.59 : Type {20,20}_10 Order 400 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * T * S^-1 * R^-8 * S^-3 * T * S * R^2 * S ] R41.60 : Type {24,24}_4 Order 384 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^7 * R^-11 * S * R^-2 ] R41.61 : Type {24,24}_4 Order 384 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^8 * S^-1 * R^2 * S^-1 ] R41.62 : Type {24,24}_8 Order 384 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^7 * S^-2 * R * S^-2 ] R41.63 : Type {24,24}_8 Order 384 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^8 * S^-1 * R^2 * S^-1 ] R41.64 : Type {24,24}_8 Order 384 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^9 * S^-1 * R * S^-1 ] R41.65 : Type {24,24}_8 Order 384 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R * S^-2 * R^4 * S^-1 * R^8 * S^-3 * R^3 * S^-2 ] R41.66 : Type {24,24}_4 Order 384 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-5 * S * R^-1 * S * R^-9 * S * R^-3 ] R41.67 : Type {24,24}_8 Order 384 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R41.68 : Type {24,24}_8 Order 384 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R^6 * S^-1 * R^2 * S^-2 ] R41.69 : Type {44,44}_4 Order 352 mV = 22 mF = 22 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^15 * R^-4 * S * R^-1 * S * R^-21 * S ] R41.70 : Type {83,166}_2 Order 332 mV = 166 mF = 83 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^67 * T * R^14 * T * S ] R41.71 : Type {84,84}_2 Order 336 mV = 84 mF = 84 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-2 * T * R^10 * T * S * R^-1 ] R41.72 : Type {164,164}_2 Order 328 mV = 164 mF = 164 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * T * R^14 * T * S ] R42.1 : Type {4,45}_90 Order 720 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-45 ] R42.2 : Type {4,86}_172 Order 688 mV = 43 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 ] R42.3 : Type {4,168}_168 Order 672 mV = 168 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^42 * R^2 * S^42 ] R42.4 : Type {6,44}_132 Order 528 mV = 22 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^44 ] R42.5 : Type {8,30}_60 Order 480 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-8 * R^3 * S^6 * R * S^-1 ] R42.6 : Type {8,30}_120 Order 480 mV = 15 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^30 ] R42.7 : Type {10,105}_42 Order 420 mV = 105 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-11 * R * S^3 * R^-1 * S^-7 ] R42.8 : Type {14,16}_112 Order 448 mV = 8 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^16 ] R42.9 : Type {26,91}_14 Order 364 mV = 91 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-6 * S^6 ] R42.10 : Type {44,88}_8 Order 352 mV = 88 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^3 * R^-18 * S ] R42.11 : Type {45,45}_4 Order 360 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^29 * S^-2 * R^11 * S^-1 ] R42.12 : Type {58,87}_6 Order 348 mV = 87 mF = 29 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-3 * S * R^-3 * S * R^-18 * S ] R42.13 : Type {85,170}_2 Order 340 mV = 170 mF = 85 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^36 * R^-11 * S^3 * R^-33 * S ] R42.14 : Type {86,86}_2 Order 344 mV = 86 mF = 86 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-3 * R^11 * S^-37 ] R42.15 : Type {168,168}_2 Order 336 mV = 168 mF = 168 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-2 * T * R^10 * T * S^2 ] R43.1 : Type {3,9}_14 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ] R43.2 : Type {3,20}_60 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-2)^2 ] R43.3 : Type {4,8}_14 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] R43.4 : Type {4,8}_6 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^2 ] R43.5 : Type {4,88}_88 Order 704 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 ] R43.6 : Type {4,88}_88 Order 704 mV = 44 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^22 * R * S^-1 * R * S^21 ] R43.7 : Type {4,172}_86 Order 688 mV = 172 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^43 * R^2 * S^43 ] R43.8 : Type {6,24}_12 Order 576 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4 ] R43.9 : Type {6,24}_6 Order 576 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R43.10 : Type {6,24}_12 Order 576 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R43.11 : Type {6,24}_6 Order 576 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R43.12 : Type {6,45}_90 Order 540 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-45 ] R43.13 : Type {6,129}_86 Order 516 mV = 129 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-22 * R^2 * S^-21 ] R43.14 : Type {8,8}_6 Order 672 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R43.15 : Type {8,8}_8 Order 672 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, (R * S^-2 * R^2)^2 ] R43.16 : Type {8,12}_8 Order 576 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^6 ] R43.17 : Type {8,12}_8 Order 576 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12, S^-3 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-2 ] R43.18 : Type {10,20}_12 Order 480 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-3 * S^-2 * R^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 ] R43.19 : Type {12,15}_40 Order 480 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-4 * S^-1 * R * S^3 ] R43.20 : Type {12,36}_18 Order 432 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^9 * R^6 * S * T * S^-3 * T * S^5 ] R43.21 : Type {12,36}_18 Order 432 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^9 * R * S^-2 * R * S^7 ] R43.22 : Type {24,48}_16 Order 384 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-3 * R^4 * S^-5 ] R43.23 : Type {24,48}_16 Order 384 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^4 * S^-5 ] R43.24 : Type {87,174}_2 Order 348 mV = 174 mF = 87 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * S^-1 * T * R^-9 * S * T * S^-1 * R * S^-1 ] R43.25 : Type {88,88}_4 Order 352 mV = 88 mF = 88 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^14 * R^-4 * S * R^-1 * S * R^-22 ] R43.26 : Type {88,88}_2 Order 352 mV = 88 mF = 88 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-1 * R^12 * S^-39 * R ] R43.27 : Type {172,172}_2 Order 344 mV = 172 mF = 172 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-3 * R^11 * S^-36 * R ] R44.1 : Type {4,90}_180 Order 720 mV = 45 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 ] R44.2 : Type {4,176}_176 Order 704 mV = 176 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^44 * R^2 * S^44 ] R44.3 : Type {6,46}_138 Order 552 mV = 23 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^46 ] R44.4 : Type {6,132}_44 Order 528 mV = 132 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^22 * R^2 * S^22 ] R44.5 : Type {8,60}_120 Order 480 mV = 30 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^15 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^11 ] R44.6 : Type {10,24}_120 Order 480 mV = 12 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^24 ] R44.7 : Type {10,110}_22 Order 440 mV = 110 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^11 * R^2 * S^11 ] R44.8 : Type {18,99}_22 Order 396 mV = 99 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R * S^-1 * R^-1 * S^6 ] R44.9 : Type {46,92}_4 Order 368 mV = 92 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^16 * R^-3 * S * R^-1 * S * R^-13 * S^2 * R^-1 * S^2 * R^-5 ] R44.10 : Type {89,178}_2 Order 356 mV = 178 mF = 89 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^39 * R^-48 * S ] R44.11 : Type {90,90}_2 Order 360 mV = 90 mF = 90 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^50 * S^-40 ] R44.12 : Type {176,176}_2 Order 352 mV = 176 mF = 176 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^35 * S^-1 * R^12 * S^-40 ] R45.1 : Type {3,10}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ] R45.2 : Type {3,10}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 ] R45.3 : Type {3,22}_6 Order 1452 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^22 ] R45.4 : Type {3,28}_16 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1 ] R45.5 : Type {4,15}_30 Order 960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-15 ] R45.6 : Type {4,48}_48 Order 768 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-2 * R * S^10 ] R45.7 : Type {4,48}_48 Order 768 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^48 ] R45.8 : Type {4,48}_48 Order 768 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 ] R45.9 : Type {4,48}_48 Order 768 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 * R^2 * S^5 * R^-1 * S^-1 * R * S^6 ] R45.10 : Type {4,92}_92 Order 736 mV = 46 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 ] R45.11 : Type {4,180}_90 Order 720 mV = 180 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^45 * R^2 * S^45 ] R45.12 : Type {5,6}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ] R45.13 : Type {5,6}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R45.14 : Type {6,14}_8 Order 672 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, (R * S^-2)^4 ] R45.15 : Type {8,10}_10 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 ] R45.16 : Type {8,10}_20 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^-4 * S^-4 ] R45.17 : Type {8,32}_32 Order 512 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^32 ] R45.18 : Type {8,32}_32 Order 512 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^32 ] R45.19 : Type {8,32}_32 Order 512 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^8 * R^3 * S^-4 * R * S^4 ] R45.20 : Type {8,32}_32 Order 512 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R^-2 * S^2 * R^-1 * S^-3 * R * S^3 ] R45.21 : Type {8,32}_32 Order 512 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R^-2 * S^2 * R^-1 * S^-1 * R * S^5 ] R45.22 : Type {8,32}_32 Order 512 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ] R45.23 : Type {8,120}_60 Order 480 mV = 120 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^15 * R^2 * S^15 ] R45.24 : Type {8,120}_30 Order 480 mV = 120 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^15 * R * S^-2 * R * S^13 ] R45.25 : Type {11,22}_22 Order 484 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-11 ] R45.26 : Type {12,20}_10 Order 480 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R^3 * S^-3, R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] R45.27 : Type {12,20}_10 Order 480 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^3 * S^3, (S^-1 * R)^5 ] R45.28 : Type {12,20}_60 Order 480 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^20 ] R45.29 : Type {14,105}_30 Order 420 mV = 105 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-8 * R * S^4 * R^-1 * S^-3 ] R45.30 : Type {15,15}_4 Order 480 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^4, R^-1 * S^4 * R^-6 * S^4 ] R45.31 : Type {22,99}_18 Order 396 mV = 99 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^4 * R^-2 * S^5 ] R45.32 : Type {32,96}_12 Order 384 mV = 96 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^2 * S^-3 * R^8 * S^-3 ] R45.33 : Type {32,96}_6 Order 384 mV = 96 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S * R^-4 * S * R^-1 * S^2 * R^-1 * S * R^-9 * S^3 * R^-1 * S^3 * R^-3 * S ] R45.34 : Type {38,95}_10 Order 380 mV = 95 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^4 * R^-1 * S^-1, R^-1 * S * R^-12 * S^4 * R^-1 ] R45.35 : Type {48,48}_8 Order 384 mV = 16 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^7 * S^-1 * R * S^-1 * R * S^-1 ] R45.36 : Type {48,48}_4 Order 384 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^7 * R^-12 * S^2 ] R45.37 : Type {48,48}_4 Order 384 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, S * R^-1 * S^31 * R^-1 * S * R^-13 ] R45.38 : Type {48,48}_4 Order 384 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^17 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-3 * S ] R45.39 : Type {48,48}_8 Order 384 mV = 24 mF = 24 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-3 * R^12 * S^-1 * R * S^-1 * R * S^-1 ] R45.40 : Type {48,48}_4 Order 384 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-5 * S * R^-1 * S * R^-9 * S * R^-1 * S * R^-1 ] R45.41 : Type {62,93}_6 Order 372 mV = 93 mF = 31 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^2 * R^-3 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S^2 * R^-1 * S^2 * R^-4 * S ] R45.42 : Type {91,182}_2 Order 364 mV = 182 mF = 91 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^38 * R^-52 ] R45.43 : Type {92,92}_2 Order 368 mV = 92 mF = 92 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^75 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * S * R^-2 ] R45.44 : Type {180,180}_2 Order 360 mV = 180 mF = 180 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^50 * S^-39 * R ] R46.1 : Type {3,8}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2 ] R46.2 : Type {3,8}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^5 ] R46.3 : Type {3,36}_6 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-9 * R^-1 * S^11 * R^-1 * S^-4 ] R46.4 : Type {4,8}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, (S^-2 * R * S^-1)^3, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] R46.5 : Type {4,8}_6 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S^-1 * R)^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R ] R46.6 : Type {4,8}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R ] R46.7 : Type {4,9}_6 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-9, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R46.8 : Type {4,9}_18 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 ] R46.9 : Type {4,94}_188 Order 752 mV = 47 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 ] R46.10 : Type {4,184}_184 Order 736 mV = 184 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^46 * R^2 * S^46 ] R46.11 : Type {6,8}_24 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R * S^-1 * R)^2 ] R46.12 : Type {6,8}_24 Order 864 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R46.13 : Type {6,12}_10 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S * R * S^-3 * R * S^4 ] R46.14 : Type {6,18}_18 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^18 ] R46.15 : Type {6,18}_18 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^18 ] R46.16 : Type {6,18}_18 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-3 * R)^2 ] R46.17 : Type {6,18}_6 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, (R * S^-1)^6 ] R46.18 : Type {6,18}_6 Order 648 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^5 * R * S^-5 * R * S^2 ] R46.19 : Type {6,18}_18 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ] R46.20 : Type {6,18}_6 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R46.21 : Type {6,18}_18 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R46.22 : Type {6,18}_6 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R46.23 : Type {6,48}_48 Order 576 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^8 * R * S^-1 * R * S^7 ] R46.24 : Type {6,48}_48 Order 576 mV = 16 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^48 ] R46.25 : Type {6,48}_48 Order 576 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^48 ] R46.26 : Type {6,138}_46 Order 552 mV = 138 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^23 * R * S^-1 * R * S^22 ] R46.27 : Type {9,9}_4 Order 648 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-9 ] R46.28 : Type {9,9}_12 Order 648 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S * R^-1 * S^2, S^-2 * R^-4 * S^-2 * R * S^-1 * R ] R46.29 : Type {10,25}_50 Order 500 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-25 ] R46.30 : Type {10,115}_46 Order 460 mV = 115 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-12 * R^2 * S^-11 ] R46.31 : Type {16,28}_112 Order 448 mV = 14 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S^-5 * R^7 * S^7 ] R46.32 : Type {18,36}_12 Order 432 mV = 12 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^2 * R^-11 * S^3 * R^-1 * S ] R46.33 : Type {18,36}_12 Order 432 mV = 18 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, R^-1 * S * R^-2 * S * R^-9 * S * R^-2 * S ] R46.34 : Type {33,66}_6 Order 396 mV = 33 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^-2 * S * R^-1 * S^2 * R^-5 * S * R^-11 * S * R^-1 * S * R^-3 * S^4 ] R46.35 : Type {93,186}_2 Order 372 mV = 186 mF = 93 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^37 * R^-54 * S ] R46.36 : Type {94,94}_2 Order 376 mV = 94 mF = 94 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-13 * S ] R46.37 : Type {184,184}_2 Order 368 mV = 184 mF = 184 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^75 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * S * R^-1 * S ] R47.1 : Type {4,96}_96 Order 768 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 ] R47.2 : Type {4,96}_96 Order 768 mV = 48 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 * R * S^-1 * R * S^23 ] R47.3 : Type {4,188}_94 Order 752 mV = 188 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^47 * R^2 * S^47 ] R47.4 : Type {6,141}_94 Order 564 mV = 141 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-24 * R * S * R^-1 * S^-22 ] R47.5 : Type {8,18}_18 Order 576 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^18 ] R47.6 : Type {8,18}_36 Order 576 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^18 ] R47.7 : Type {8,64}_64 Order 512 mV = 32 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^16 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^12 ] R47.8 : Type {8,64}_64 Order 512 mV = 32 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^16 * R * S^-1 * R * S^15 ] R47.9 : Type {12,30}_40 Order 480 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S * R^-2 * S^4 ] R47.10 : Type {95,190}_2 Order 380 mV = 190 mF = 95 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^41 * R^-12 * S * R^-40 ] R47.11 : Type {96,96}_4 Order 384 mV = 96 mF = 96 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^18 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-4 ] R47.12 : Type {96,96}_2 Order 384 mV = 96 mF = 96 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-10 * S * T * R * S^-1 * T ] R47.13 : Type {188,188}_2 Order 376 mV = 188 mF = 188 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-14 ] R48.1 : Type {4,51}_102 Order 816 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-51 ] R48.2 : Type {4,98}_196 Order 784 mV = 49 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 ] R48.3 : Type {4,192}_192 Order 768 mV = 192 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^48 * R^2 * S^48 ] R48.4 : Type {6,50}_150 Order 600 mV = 25 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^50 ] R48.5 : Type {8,34}_136 Order 544 mV = 17 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^34 ] R48.6 : Type {10,26}_130 Order 520 mV = 13 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^26 ] R48.7 : Type {10,120}_24 Order 480 mV = 120 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^12 * R * S^-1 * R * S^11 ] R48.8 : Type {12,40}_120 Order 480 mV = 20 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^10 * R^6 * S^10 ] R48.9 : Type {14,18}_126 Order 504 mV = 9 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^18 ] R48.10 : Type {14,112}_16 Order 448 mV = 112 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^8 * R^2 * S^8 ] R48.11 : Type {26,104}_8 Order 416 mV = 104 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^3 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^2 ] R48.12 : Type {34,102}_6 Order 408 mV = 102 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^2 * R^-4 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-3 * S * R^-4 * S ] R48.13 : Type {50,100}_4 Order 400 mV = 100 mF = 25 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^20 * R^-4 * S * R^-1 * S * R^-13 * S * R^-2 * S^3 * R^-4 ] R48.14 : Type {51,51}_4 Order 408 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^34 * R^-1 * S * R^-11 * S^2 ] R48.15 : Type {97,194}_2 Order 388 mV = 194 mF = 97 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^40 * R^-12 * S * R^-42 * S ] R48.16 : Type {98,98}_2 Order 392 mV = 98 mF = 98 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R^13 * S^-41 ] R48.17 : Type {192,192}_2 Order 384 mV = 192 mF = 192 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-12 * S ] R49.1 : Type {3,10}_16 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R^-1 * S^2 * R * S^-3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] R49.2 : Type {3,12}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R49.3 : Type {3,14}_24 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-2 * R * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R49.4 : Type {3,14}_18 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-2 ] R49.5 : Type {4,5}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^6, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R49.6 : Type {4,6}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R49.7 : Type {4,7}_14 Order 1792 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-7, (R * S^-2)^4 ] R49.8 : Type {4,10}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] R49.9 : Type {4,10}_10 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S ] R49.10 : Type {4,10}_20 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^10, (R * S^-2)^4, S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-4 ] R49.11 : Type {4,12}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S^12 ] R49.12 : Type {4,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^16 ] R49.13 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R49.14 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^16 ] R49.15 : Type {4,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] R49.16 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 ] R49.17 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^-3 * R * S ] R49.18 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R49.19 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R49.20 : Type {4,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^8 ] R49.21 : Type {4,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R49.22 : Type {4,16}_8 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R49.23 : Type {4,16}_8 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S ] R49.24 : Type {4,16}_4 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^16 ] R49.25 : Type {4,16}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^3 ] R49.26 : Type {4,20}_12 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-2 ] R49.27 : Type {4,20}_6 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] R49.28 : Type {4,28}_56 Order 896 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^28 ] R49.29 : Type {4,52}_52 Order 832 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^52 ] R49.30 : Type {4,100}_100 Order 800 mV = 50 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 ] R49.31 : Type {4,196}_98 Order 784 mV = 196 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^49 * R^2 * S^49 ] R49.32 : Type {5,5}_6 Order 1920 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6 ] R49.33 : Type {5,6}_6 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R49.34 : Type {6,6}_6 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R49.35 : Type {6,6}_24 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R49.36 : Type {6,6}_24 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R49.37 : Type {6,6}_12 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R49.38 : Type {6,6}_6 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R49.39 : Type {6,12}_4 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4 ] R49.40 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2 ] R49.41 : Type {6,12}_4 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R49.42 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R49.43 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S * R * S^-2 * R^3 * S^3 * R^-2 ] R49.44 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^4, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R49.45 : Type {6,12}_8 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-5)^2 ] R49.46 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, (R * S^-2)^4 ] R49.47 : Type {6,12}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R * S^-1 * R)^4 ] R49.48 : Type {6,12}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ] R49.49 : Type {6,15}_30 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-3 * R^-2 * S * R^-2 * S^-1 ] R49.50 : Type {6,15}_10 Order 720 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2 ] R49.51 : Type {6,15}_60 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-15 ] R49.52 : Type {6,15}_12 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R^-2 * S)^3 ] R49.53 : Type {6,15}_4 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^-2 * S)^3 ] R49.54 : Type {6,39}_52 Order 624 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-4 * R^-1 * S * R * S^-7 ] R49.55 : Type {6,51}_102 Order 612 mV = 17 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-51 ] R49.56 : Type {6,147}_98 Order 588 mV = 147 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-25 * R^2 * S^-24 ] R49.57 : Type {7,7}_4 Order 896 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-7, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R49.58 : Type {7,14}_6 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1)^4, (S * R^-1 * S)^3 ] R49.59 : Type {8,24}_4 Order 576 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^6 ] R49.60 : Type {8,24}_4 Order 576 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-3 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-2 ] R49.61 : Type {9,18}_8 Order 576 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] R49.62 : Type {10,10}_8 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R49.63 : Type {10,10}_8 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R49.64 : Type {10,10}_4 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2 ] R49.65 : Type {10,10}_8 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, R^10, (R * S^-4)^2 ] R49.66 : Type {12,12}_6 Order 576 mV = 3 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R49.67 : Type {12,12}_12 Order 576 mV = 3 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R49.68 : Type {12,12}_24 Order 576 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R^6 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R49.69 : Type {12,12}_12 Order 576 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R49.70 : Type {12,12}_12 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2 ] R49.71 : Type {12,12}_6 Order 576 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^-2 * R^5 * S^3 * R^-1 * S^-1 ] R49.72 : Type {12,12}_12 Order 576 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^12 ] R49.73 : Type {12,12}_12 Order 576 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^12 ] R49.74 : Type {12,60}_20 Order 480 mV = 30 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^10 * R * S^-3 * R * S^7 ] R49.75 : Type {16,16}_16 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^16 ] R49.76 : Type {16,16}_16 Order 512 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^16 ] R49.77 : Type {16,16}_16 Order 512 mV = 2 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^16 ] R49.78 : Type {16,16}_16 Order 512 mV = 2 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^16 ] R49.79 : Type {16,16}_16 Order 512 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-4 * R^3 * S * R^-1 * S^-3 ] R49.80 : Type {16,16}_16 Order 512 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^4 * R^-7 * S^4 * R^-1 ] R49.81 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R49.82 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R^8 * S^6 ] R49.83 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4 ] R49.84 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-1 * S^3 * R^-5 * S * R^-2 * S^2 * R^-2 ] R49.85 : Type {16,16}_16 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R^7 * S^-5 ] R49.86 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, (R * S^-3)^2 ] R49.87 : Type {16,16}_4 Order 512 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, (R * S^-3)^2 ] R49.88 : Type {16,16}_4 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ] R49.89 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-3)^2 ] R49.90 : Type {16,16}_4 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S * R^-1 * S * R^-7 * S * R^-1 * S * R^-1 ] R49.91 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R49.92 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R49.93 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (R * S^-1)^4 ] R49.94 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, (R * S^-1)^4 ] R49.95 : Type {16,16}_8 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-2 * T * R^-2 * S * R^-6 * S^2 * T * R * S^-1 * R ] R49.96 : Type {16,112}_14 Order 448 mV = 112 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^-2 * R^-1 * S^6 * R^-1 * S^-6 ] R49.97 : Type {16,112}_28 Order 448 mV = 112 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^7 * R * S^-2 * R * S^5 ] R49.98 : Type {20,20}_6 Order 480 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-2 * R)^2 ] R49.99 : Type {20,20}_6 Order 480 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S^4, R^2 * S^-1 * R^3 * S * R^-2 * S^-1 ] R49.100 : Type {27,54}_4 Order 432 mV = 18 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^10 * R^-12 * S^2 ] R49.101 : Type {28,28}_4 Order 448 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^9 * S^-1 * R^9 * S^-5 * R ] R49.102 : Type {30,105}_14 Order 420 mV = 105 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^2 * S^-3 * R^6 * S^-4 ] R49.103 : Type {36,36}_6 Order 432 mV = 18 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^4 * S^-3 * R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-3 * R ] R49.104 : Type {52,52}_4 Order 416 mV = 26 mF = 26 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^27 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^4 ] R49.105 : Type {99,198}_2 Order 396 mV = 198 mF = 99 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * S * R^-1 * T * S^-1 * R^11 ] R49.106 : Type {100,100}_2 Order 400 mV = 100 mF = 100 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * S^-1 * R * S^-1 * T * R^-10 * T * R^3 ] R49.107 : Type {196,196}_2 Order 392 mV = 196 mF = 196 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^43 * S^-1 * R^13 * S^-40 * R ] R50.1 : Type {3,13}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-13, S * R * S^-3 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S, S^-2 * R * S^-5 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-3 ] R50.2 : Type {4,102}_204 Order 816 mV = 51 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^102 ] R50.3 : Type {4,200}_200 Order 800 mV = 200 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^50 * R^2 * S^50 ] R50.4 : Type {6,6}_14 Order 1176 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] R50.5 : Type {6,52}_156 Order 624 mV = 26 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^52 ] R50.6 : Type {6,150}_50 Order 600 mV = 150 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^25 * R^2 * S^25 ] R50.7 : Type {8,8}_14 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R^-1 * S * R^3 * S * R^-1 * S^2 ] R50.8 : Type {8,68}_136 Order 544 mV = 34 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^17 * R^3 * S^-2 * T * R^-1 * S^-2 * T * S^13 ] R50.9 : Type {12,22}_132 Order 528 mV = 11 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^22 ] R50.10 : Type {12,120}_40 Order 480 mV = 120 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^10 * R^2 * S^10 ] R50.11 : Type {15,40}_12 Order 480 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-3 * R^-2 * S^-3 * R ] R50.12 : Type {20,24}_120 Order 480 mV = 12 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-1 * T * S^3 * R * T * S^2 * R^-5 * S^-3 * T * S * R^4 * T * S^-2 ] R50.13 : Type {22,110}_10 Order 440 mV = 110 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^17 * S^-1 * R * S^-1 * R^2 ] R50.14 : Type {42,105}_10 Order 420 mV = 105 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S^2 * R^-1 * S * R^-11 * S^4 * R^-1 ] R50.15 : Type {52,104}_8 Order 416 mV = 104 mF = 26 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-3 ] R50.16 : Type {101,202}_2 Order 404 mV = 202 mF = 101 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^45 * R^-12 * T * R^2 * T * R^-40 * S ] R50.17 : Type {102,102}_2 Order 408 mV = 102 mF = 102 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^42 * S^-1 * R^12 * S^-47 ] R50.18 : Type {200,200}_2 Order 400 mV = 200 mF = 200 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * S^-1 * R * S^-1 * T * R^-10 * T * R^2 * S^-1 ] R51.1 : Type {3,12}_40 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-2 * R * S^-1 ] R51.2 : Type {3,30}_10 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1 ] R51.3 : Type {4,8}_40 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^10 ] R51.4 : Type {4,8}_40 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 ] R51.5 : Type {4,12}_30 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R51.6 : Type {4,20}_10 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-3 * R * S^4 ] R51.7 : Type {4,24}_20 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^-1 * S^4 * R^2 * S^-4 * R * S^2 ] R51.8 : Type {4,24}_20 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^4 * R * S^-1 * R * S^4 * R^-1 ] R51.9 : Type {4,54}_54 Order 864 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^54 ] R51.10 : Type {4,104}_104 Order 832 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^104 ] R51.11 : Type {4,104}_104 Order 832 mV = 52 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^26 * R * S^-1 * R * S^25 ] R51.12 : Type {4,204}_102 Order 816 mV = 204 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^51 * R^2 * S^51 ] R51.13 : Type {6,8}_20 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R51.14 : Type {6,8}_10 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R51.15 : Type {6,28}_42 Order 672 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-5 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 ] R51.16 : Type {8,8}_20 Order 800 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] R51.17 : Type {8,8}_10 Order 800 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R51.18 : Type {8,36}_18 Order 576 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^9 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^2 ] R51.19 : Type {8,36}_36 Order 576 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^9 * R * S^-2 * R * S^7 ] R51.20 : Type {8,36}_72 Order 576 mV = 18 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^36 ] R51.21 : Type {8,36}_72 Order 576 mV = 9 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^36 ] R51.22 : Type {8,136}_34 Order 544 mV = 136 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^17 * R^2 * S^17 ] R51.23 : Type {8,136}_68 Order 544 mV = 136 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^17 * R * S^-2 * R * S^15 ] R51.24 : Type {12,12}_10 Order 600 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S ] R51.25 : Type {14,119}_34 Order 476 mV = 119 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-9 * R * S^5 * R^-1 * S^-3 ] R51.26 : Type {15,60}_8 Order 480 mV = 20 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-8 * S^2 * R^-2 ] R51.27 : Type {20,30}_6 Order 480 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S^-1 * R^5 * S^-2 * R * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R51.28 : Type {28,56}_8 Order 448 mV = 28 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-1 * S * R^-1 * S * R^-15 * S * R^-1 * S * R^-3 * S ] R51.29 : Type {28,56}_8 Order 448 mV = 28 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-1 * S * R^-4 * S^3 * R^-10 * S^2 * R^-4 * S^2 * R^-1 ] R51.30 : Type {54,54}_4 Order 432 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^37 * R^-1 * S * R^-11 * S^2 ] R51.31 : Type {70,105}_6 Order 420 mV = 105 mF = 35 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^7 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^4 * S^-1 ] R51.32 : Type {103,206}_2 Order 412 mV = 206 mF = 103 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * R^-12 * S * R^-42 ] R51.33 : Type {104,104}_4 Order 416 mV = 104 mF = 104 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^27 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^2 * S^-2 ] R51.34 : Type {104,104}_2 Order 416 mV = 104 mF = 104 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^90 * R^-11 * T * R^2 * T ] R51.35 : Type {204,204}_2 Order 408 mV = 204 mF = 204 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^42 * S^-1 * R^12 * S^-46 * R ] R52.1 : Type {3,8}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-3 ] R52.2 : Type {3,8}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^2 ] R52.3 : Type {4,106}_212 Order 848 mV = 53 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^106 ] R52.4 : Type {4,208}_208 Order 832 mV = 208 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^52 * R^2 * S^52 ] R52.5 : Type {6,20}_20 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ] R52.6 : Type {6,54}_54 Order 648 mV = 27 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^54 ] R52.7 : Type {6,54}_54 Order 648 mV = 18 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^54 ] R52.8 : Type {6,156}_52 Order 624 mV = 156 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^26 * R * S^-1 * R * S^25 ] R52.9 : Type {10,28}_140 Order 560 mV = 14 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^28 ] R52.10 : Type {10,130}_26 Order 520 mV = 130 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^13 * R * S^-2 * R * S^11 ] R52.11 : Type {12,16}_16 Order 576 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-5 * R ] R52.12 : Type {18,117}_26 Order 468 mV = 117 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S * R^-1 * S^-6 ] R52.13 : Type {24,30}_40 Order 480 mV = 15 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^4 * R * S^-1 * R * S^5 ] R52.14 : Type {28,112}_16 Order 448 mV = 112 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^6 * S^-6 ] R52.15 : Type {54,108}_4 Order 432 mV = 108 mF = 27 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^28 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^5 ] R52.16 : Type {105,210}_2 Order 420 mV = 210 mF = 105 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^91 * T * R^-2 * T * R^12 ] R52.17 : Type {106,106}_2 Order 424 mV = 106 mF = 106 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^45 * T * R^-2 * T * R^11 * S^-48 ] R52.18 : Type {208,208}_2 Order 416 mV = 208 mF = 208 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^90 * R^-12 * S ] R53.1 : Type {4,30}_60 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^30 ] R53.2 : Type {4,56}_56 Order 896 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^56 ] R53.3 : Type {4,56}_28 Order 896 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^14 * R^2 * S^5 * R^-1 * S^-1 * R * S^8 ] R53.4 : Type {4,108}_108 Order 864 mV = 54 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^108 ] R53.5 : Type {4,212}_106 Order 848 mV = 212 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^53 * R^2 * S^53 ] R53.6 : Type {6,16}_48 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^16 ] R53.7 : Type {6,16}_48 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R53.8 : Type {6,16}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R53.9 : Type {6,42}_28 Order 672 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-6 * R^2 * S^-1 * R^2 * S^-7 ] R53.10 : Type {6,159}_106 Order 636 mV = 159 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-27 * R * S * R^-1 * S^-25 ] R53.11 : Type {8,20}_40 Order 640 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^20 ] R53.12 : Type {8,20}_20 Order 640 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^20 ] R53.13 : Type {8,72}_36 Order 576 mV = 36 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^18 * R^4 * S^18 ] R53.14 : Type {8,72}_36 Order 576 mV = 36 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^18 * R * S^-1 * R * S^17 ] R53.15 : Type {12,44}_66 Order 528 mV = 22 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^11 * R^6 * S^11 ] R53.16 : Type {16,32}_32 Order 512 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^8 * R * S^-3 * R * S^5 ] R53.17 : Type {16,32}_32 Order 512 mV = 8 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^8 * R * S^-3 * R * S^5 ] R53.18 : Type {16,32}_32 Order 512 mV = 16 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^-8 * R^-7 * S * T * S^-3 * T * S^2 * R^-1 * S^-2 ] R53.19 : Type {16,32}_32 Order 512 mV = 16 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^8 * R * S^-1 * R * S^7 ] R53.20 : Type {20,60}_12 Order 480 mV = 30 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^3 * R^-11 * S^4 * R^-1 * S ] R53.21 : Type {24,40}_30 Order 480 mV = 20 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^2 * R * S^-2 * R^5 * S^6 ] R53.22 : Type {24,40}_60 Order 480 mV = 20 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^4 * R^6 * S^6 ] R53.23 : Type {30,30}_4 Order 480 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^13 * R^-11 * S * R^-2 ] R53.24 : Type {56,56}_4 Order 448 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^30 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^5 ] R53.25 : Type {56,56}_4 Order 448 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^9 * S^-1 * R^9 * S^-6 ] R53.26 : Type {107,214}_2 Order 428 mV = 214 mF = 107 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * R^-11 * T * R^2 * T * R^-45 ] R53.27 : Type {108,108}_2 Order 432 mV = 108 mF = 108 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * T * R^-2 * T * R^11 * S^-48 * R ] R53.28 : Type {212,212}_2 Order 424 mV = 212 mF = 212 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^45 * T * R^-2 * T * R^11 * S^-47 * R ] R54.1 : Type {4,57}_114 Order 912 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-57 ] R54.2 : Type {4,110}_220 Order 880 mV = 55 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^110 ] R54.3 : Type {4,216}_216 Order 864 mV = 216 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^54 * R^2 * S^54 ] R54.4 : Type {6,56}_168 Order 672 mV = 28 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^56 ] R54.5 : Type {8,38}_152 Order 608 mV = 19 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^38 ] R54.6 : Type {10,135}_54 Order 540 mV = 135 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-14 * R * S * R^-1 * S^-12 ] R54.7 : Type {12,66}_44 Order 528 mV = 33 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^11 * R * S^-1 * R * S^10 ] R54.8 : Type {14,20}_140 Order 560 mV = 10 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^20 ] R54.9 : Type {14,126}_18 Order 504 mV = 126 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^9 * R * S^-1 * R * S^8 ] R54.10 : Type {20,120}_24 Order 480 mV = 120 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R^2 * S^6 ] R54.11 : Type {24,60}_40 Order 480 mV = 30 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-2 ] R54.12 : Type {26,117}_18 Order 468 mV = 117 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-4 * S^6 ] R54.13 : Type {30,40}_12 Order 480 mV = 10 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R ] R54.14 : Type {30,40}_24 Order 480 mV = 20 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S * R * S^-3 * R * S^4 ] R54.15 : Type {38,114}_6 Order 456 mV = 114 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^5 * R^-5 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ] R54.16 : Type {57,57}_4 Order 456 mV = 19 mF = 19 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^40 * R^-1 * S * R^-11 * S^2 ] R54.17 : Type {74,111}_6 Order 444 mV = 111 mF = 37 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^9 * S^-1 * R^3 * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^4 * S^-1 ] R54.18 : Type {109,218}_2 Order 436 mV = 218 mF = 109 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^49 * R^-11 * T * R^2 * T * R^-45 * S ] R54.19 : Type {110,110}_2 Order 440 mV = 110 mF = 110 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * T * R^-2 * T * R^11 * S^-50 ] R54.20 : Type {216,216}_2 Order 432 mV = 216 mF = 216 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^46 * T * R^-2 * T * R^11 * S^-49 ] R55.1 : Type {3,12}_72 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 ] R55.2 : Type {3,24}_6 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^24 ] R55.3 : Type {3,60}_20 Order 1440 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R * S^5 ] R55.4 : Type {4,6}_18 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, (R * S^-2)^6 ] R55.5 : Type {4,6}_6 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^6 ] R55.6 : Type {4,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2 ] R55.7 : Type {4,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R ] R55.8 : Type {4,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R55.9 : Type {4,12}_6 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R55.10 : Type {4,16}_48 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^16 ] R55.11 : Type {4,16}_48 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R55.12 : Type {4,28}_42 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, R * S^-1 * R^-1 * S^5 * R * S^-1 * R^2 * S^-5 * R * S^2 ] R55.13 : Type {4,112}_112 Order 896 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^112 ] R55.14 : Type {4,112}_112 Order 896 mV = 56 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 * R * S^-1 * R * S^27 ] R55.15 : Type {4,220}_110 Order 880 mV = 220 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^55 * R^2 * S^55 ] R55.16 : Type {5,6}_10 Order 1620 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R55.17 : Type {6,6}_4 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-2 * R * S^-1 * R ] R55.18 : Type {6,6}_12 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, S^-1 * R^-2 * S * R * S^-2 * R^3 * S^2 * R^-1 * S^-1 * R^2 * S^-2 ] R55.19 : Type {6,9}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] R55.20 : Type {6,9}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-9 ] R55.21 : Type {6,9}_6 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R^-2 * S)^3, S * R * S^-2 * R^2 * S^3 * R^-1 ] R55.22 : Type {6,9}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-9, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R55.23 : Type {6,9}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-2 * S^2 * R^-1 * S, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * R^3 * S^-1 * R ] R55.24 : Type {6,12}_6 Order 864 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R55.25 : Type {6,12}_24 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R55.26 : Type {6,12}_6 Order 864 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^12 ] R55.27 : Type {6,12}_6 Order 864 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^12 ] R55.28 : Type {6,21}_42 Order 756 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ] R55.29 : Type {6,30}_10 Order 720 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S^-2 * R * S^-1)^3, S * R * S^-4 * R * S^5 ] R55.30 : Type {6,57}_114 Order 684 mV = 19 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-57 ] R55.31 : Type {6,165}_110 Order 660 mV = 165 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-28 * R^2 * S^-27 ] R55.32 : Type {7,7}_18 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2 ] R55.33 : Type {12,12}_6 Order 648 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4 ] R55.34 : Type {12,24}_12 Order 576 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R55.35 : Type {12,24}_6 Order 576 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4, R^12, R * S^-2 * R^4 * S^-2 * R * S^-2 ] R55.36 : Type {12,24}_24 Order 576 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2 ] R55.37 : Type {12,24}_24 Order 576 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^12 ] R55.38 : Type {12,24}_24 Order 576 mV = 4 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^24 ] R55.39 : Type {12,24}_24 Order 576 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^5 * R * S^-5 * R * S^2 ] R55.40 : Type {12,24}_6 Order 576 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R55.41 : Type {12,24}_12 Order 576 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R55.42 : Type {12,24}_24 Order 576 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^24 ] R55.43 : Type {12,24}_24 Order 576 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^5 * R * S^-1 * R * S^6 ] R55.44 : Type {12,132}_22 Order 528 mV = 132 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^11 * R * S^-4 * R * S^7 ] R55.45 : Type {15,30}_6 Order 540 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^3 * S^-2 * R^6 * S^-4 ] R55.46 : Type {16,16}_6 Order 576 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R * S^-2 * T * R^-2 * S^2 * R^-6 * S * T * S^-1 * R ] R55.47 : Type {16,16}_12 Order 576 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S ] R55.48 : Type {24,120}_10 Order 480 mV = 120 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^2 * S^-1 * R^16 * S^-1 * R * S^-2 * R ] R55.49 : Type {24,120}_20 Order 480 mV = 120 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^2 * S^-5 ] R55.50 : Type {28,28}_6 Order 504 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^9 * S^-1 * R * S^-1 * R * S^-1 ] R55.51 : Type {30,60}_8 Order 480 mV = 20 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-10 * S^2 * R^-1 * S ] R55.52 : Type {39,78}_6 Order 468 mV = 39 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^7 * S^-4 * R^2 * S^-1 * R * S^-1 * R^12 * S^-1 * R^5 * S^-4 ] R55.53 : Type {46,115}_10 Order 460 mV = 115 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-4 * R^14 * S^-1 * R * S^-1 * R * S^-1 ] R55.54 : Type {111,222}_2 Order 444 mV = 222 mF = 111 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * S^-1 * R * S^-1 * T * R^-59 ] R55.55 : Type {112,112}_4 Order 448 mV = 112 mF = 112 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^29 * S^-1 * R * S^-1 * R^15 * S^-1 * R * S^-1 * R^4 * S^-1 ] R55.56 : Type {112,112}_2 Order 448 mV = 112 mF = 112 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^96 * S^-1 * R^11 * T * S * R^-1 * S * T ] R55.57 : Type {220,220}_2 Order 440 mV = 220 mF = 220 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^47 * T * R^-2 * T * R^11 * S^-49 * R ] R56.1 : Type {3,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S * R^-1 * S)^5, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ] R56.2 : Type {3,12}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S^-2 * R * S^-3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ] R56.3 : Type {4,6}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] R56.4 : Type {4,114}_228 Order 912 mV = 57 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^114 ] R56.5 : Type {4,224}_224 Order 896 mV = 224 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^56 * R^2 * S^56 ] R56.6 : Type {6,6}_10 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R^-2 * S)^3, (S * R^-1 * S)^3, (S^-1 * R)^5 ] R56.7 : Type {6,58}_174 Order 696 mV = 29 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^58 ] R56.8 : Type {6,168}_56 Order 672 mV = 168 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^28 * R^2 * S^28 ] R56.9 : Type {8,10}_8 Order 800 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^10 ] R56.10 : Type {8,21}_84 Order 672 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-21 ] R56.11 : Type {8,76}_152 Order 608 mV = 38 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^19 * R^4 * S^19 ] R56.12 : Type {10,30}_30 Order 600 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^30 ] R56.13 : Type {10,30}_30 Order 600 mV = 6 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^30 ] R56.14 : Type {10,30}_30 Order 600 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R56.15 : Type {10,140}_28 Order 560 mV = 140 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^14 * R * S^-3 * R * S^11 ] R56.16 : Type {16,18}_144 Order 576 mV = 9 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^18 ] R56.17 : Type {18,126}_14 Order 504 mV = 126 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, R^-2 * S * R^-13 * S * R^-1 ] R56.18 : Type {25,50}_10 Order 500 mV = 25 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^-1 * R^4 * S^-1 * R^12 * S^-1 * R^4 * S^-1 * R ] R56.19 : Type {30,120}_8 Order 480 mV = 120 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^4 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^4 ] R56.20 : Type {34,119}_14 Order 476 mV = 119 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, S * R^-10 * S^6 ] R56.21 : Type {40,60}_24 Order 480 mV = 30 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-2 * R^4 * S^-4 ] R56.22 : Type {58,116}_4 Order 464 mV = 116 mF = 29 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^24 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ] R56.23 : Type {113,226}_2 Order 452 mV = 226 mF = 113 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^47 * T * S^-1 * R * S^-1 * T * R^-61 * S ] R56.24 : Type {114,114}_2 Order 456 mV = 114 mF = 114 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^62 * S^-1 * T * R^-2 * S * T * S^-48 ] R56.25 : Type {224,224}_2 Order 448 mV = 224 mF = 224 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^97 * S^-1 * R^11 * T * S * R^-1 * S * T ] R57.1 : Type {3,18}_14 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^4 * R^-1 * S * R^-1 * S^-1 * R * S^4 * R^-1 * S, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] R57.2 : Type {4,6}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-1)^8, S^-1 * R * S^-3 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * R ] R57.3 : Type {4,18}_18 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^18 ] R57.4 : Type {4,18}_72 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^18 ] R57.5 : Type {4,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^32 ] R57.6 : Type {4,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R57.7 : Type {4,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^6 ] R57.8 : Type {4,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R57.9 : Type {4,60}_60 Order 960 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^60 ] R57.10 : Type {4,60}_30 Order 960 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^15 * R * S^-2 * R * S^13 ] R57.11 : Type {4,60}_60 Order 960 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^60 ] R57.12 : Type {4,116}_116 Order 928 mV = 58 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^116 ] R57.13 : Type {4,228}_114 Order 912 mV = 228 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^57 * R^2 * S^57 ] R57.14 : Type {5,8}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R57.15 : Type {6,6}_8 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R57.16 : Type {6,10}_10 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^10, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ] R57.17 : Type {6,10}_8 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R57.18 : Type {6,24}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-5 ] R57.19 : Type {6,24}_16 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, S^-5 * R^-2 * S^-5 * R ] R57.20 : Type {8,12}_6 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-2 * R * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] R57.21 : Type {8,12}_12 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-2 * R * S^3, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] R57.22 : Type {8,12}_12 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ] R57.23 : Type {8,12}_6 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^3 ] R57.24 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ] R57.25 : Type {8,12}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^-2 * R * S ] R57.26 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R57.27 : Type {8,12}_6 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R57.28 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R57.29 : Type {8,12}_6 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R57.30 : Type {8,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S * R * S^-1 * R^4 * S^-1 * R * S^3 ] R57.31 : Type {8,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, (R * S^-3 * R)^2 ] R57.32 : Type {8,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] R57.33 : Type {8,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^12 ] R57.34 : Type {8,12}_24 Order 768 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 ] R57.35 : Type {8,12}_12 Order 768 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 ] R57.36 : Type {8,12}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 ] R57.37 : Type {8,12}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3 * R)^2 ] R57.38 : Type {8,12}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R57.39 : Type {8,12}_24 Order 768 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^12 ] R57.40 : Type {8,12}_24 Order 768 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12 ] R57.41 : Type {8,12}_12 Order 768 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 ] R57.42 : Type {8,12}_24 Order 768 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^12 ] R57.43 : Type {8,40}_40 Order 640 mV = 20 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^40 ] R57.44 : Type {8,40}_40 Order 640 mV = 10 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^40 ] R57.45 : Type {8,40}_40 Order 640 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R^3 * S^-2 * R * S^8 ] R57.46 : Type {8,40}_20 Order 640 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R^4 * S^10 ] R57.47 : Type {8,40}_40 Order 640 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^10 * R^3 * S^-4 * R * S^6 ] R57.48 : Type {8,40}_40 Order 640 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ] R57.49 : Type {8,152}_38 Order 608 mV = 152 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^19 * R * S^-2 * R * S^17 ] R57.50 : Type {8,152}_76 Order 608 mV = 152 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^19 * R^2 * S^19 ] R57.51 : Type {10,20}_8 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^-1 * S^-2, R^10, (R * S^-1 * R * S^-1 * R)^2 ] R57.52 : Type {10,20}_4 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, (R * S^-1 * R^3)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 ] R57.53 : Type {14,21}_42 Order 588 mV = 3 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-21 ] R57.54 : Type {14,133}_38 Order 532 mV = 133 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-10 * R^2 * S^-9 ] R57.55 : Type {18,18}_8 Order 576 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^3 * R^-2 * S^3 * R^-10 ] R57.56 : Type {18,18}_4 Order 576 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S * R^-1, R^-5 * S^2 * R^-7 * S * R^-1 * S^2 ] R57.57 : Type {32,32}_16 Order 512 mV = 8 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^-1 * S^3 * R^-7 * S^3 * R^-2 ] R57.58 : Type {32,32}_8 Order 512 mV = 8 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-3 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-4 * S ] R57.59 : Type {32,32}_16 Order 512 mV = 8 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-4 * S^4 * R^-1 * S ] R57.60 : Type {32,32}_8 Order 512 mV = 8 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^4 * R^-5 * S * R^-2 * S^3 * R^-1 ] R57.61 : Type {32,32}_8 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-2 * S^2 * R^-8 * S^2 * R^-2 ] R57.62 : Type {32,32}_4 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^12 * S^-1 * R^9 * S^-3 * R * S^-3 ] R57.63 : Type {32,32}_4 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-2 * S * R^-1 * S * R^-8 * S * R^-1 * S ] R57.64 : Type {32,32}_8 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * T * R^-2 * S * R^-6 * S^2 * T * R^2 * S^-1 ] R57.65 : Type {40,120}_6 Order 480 mV = 120 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^6 * R^-5 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-6 ] R57.66 : Type {40,120}_12 Order 480 mV = 120 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^-1 * S * R^-1 * S * R^-10 * S^6 ] R57.67 : Type {60,60}_4 Order 480 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-3 * S^13 * R^-12 * S^2 ] R57.68 : Type {60,60}_4 Order 480 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^43 * R^-1 * S * R^-11 * S^2 ] R57.69 : Type {60,60}_4 Order 480 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^27 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-5 * S ] R57.70 : Type {115,230}_2 Order 460 mV = 230 mF = 115 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^48 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T * R^-50 ] R57.71 : Type {116,116}_2 Order 464 mV = 116 mF = 116 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^100 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ] R57.72 : Type {228,228}_2 Order 456 mV = 228 mF = 228 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^62 * S^-1 * T * R^-2 * S * T * S^-47 * R ] R58.1 : Type {4,42}_28 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^3 * R * S^-4 * R * S^4 * R^-1 * S^-1 * R * S^2 ] R58.2 : Type {4,118}_236 Order 944 mV = 59 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^118 ] R58.3 : Type {4,232}_232 Order 928 mV = 232 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^58 * R^2 * S^58 ] R58.4 : Type {6,60}_60 Order 720 mV = 20 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^60 ] R58.5 : Type {6,60}_60 Order 720 mV = 30 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^60 ] R58.6 : Type {6,60}_60 Order 720 mV = 30 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^10 * R * S^-3 * R * S^7 ] R58.7 : Type {6,174}_58 Order 696 mV = 174 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^29 * R * S^-1 * R * S^28 ] R58.8 : Type {10,145}_58 Order 580 mV = 145 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-15 * R * S^2 * R^-1 * S^-12 ] R58.9 : Type {12,48}_48 Order 576 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, R * S^-1 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-1 * R ] R58.10 : Type {12,48}_48 Order 576 mV = 16 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^12 * R * S^-2 * R * S^10 ] R58.11 : Type {12,48}_48 Order 576 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^12 * R^6 * S^12 ] R58.12 : Type {18,45}_30 Order 540 mV = 15 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-8 * R * S^3 * R^-1 * S^-4 ] R58.13 : Type {42,42}_6 Order 504 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^9 * S^-1 * R^3 * S^-1 ] R58.14 : Type {42,42}_6 Order 504 mV = 14 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^7 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ] R58.15 : Type {60,120}_8 Order 480 mV = 120 mF = 30 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^2 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 * S^-2 ] R58.16 : Type {117,234}_2 Order 468 mV = 234 mF = 117 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^100 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ] R58.17 : Type {118,118}_2 Order 472 mV = 118 mF = 118 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R * S^-46 ] R58.18 : Type {232,232}_2 Order 464 mV = 232 mF = 232 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^99 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ] R59.1 : Type {4,120}_120 Order 960 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^120 ] R59.2 : Type {4,120}_120 Order 960 mV = 60 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^30 * R * S^-1 * R * S^29 ] R59.3 : Type {4,236}_118 Order 944 mV = 236 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^59 * R^2 * S^59 ] R59.4 : Type {6,177}_118 Order 708 mV = 177 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-31 * R * S^4 * R^-1 * S^-24 ] R59.5 : Type {8,80}_80 Order 640 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^20 * R^4 * S^20 ] R59.6 : Type {8,80}_80 Order 640 mV = 40 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^20 * R * S^-1 * R * S^19 ] R59.7 : Type {20,28}_70 Order 560 mV = 14 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^7 * R^10 * S^7 ] R59.8 : Type {119,238}_2 Order 476 mV = 238 mF = 119 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^45 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * R^-55 * S ] R59.9 : Type {120,120}_4 Order 480 mV = 120 mF = 120 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^26 * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ] R59.10 : Type {120,120}_2 Order 480 mV = 120 mF = 120 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-2 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-48 * R ] R59.11 : Type {236,236}_2 Order 472 mV = 236 mF = 236 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R * S^-45 * R ] R60.1 : Type {4,63}_126 Order 1008 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-63 ] R60.2 : Type {4,122}_244 Order 976 mV = 61 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^122 ] R60.3 : Type {4,240}_240 Order 960 mV = 240 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^60 * R^2 * S^60 ] R60.4 : Type {6,62}_186 Order 744 mV = 31 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^62 ] R60.5 : Type {8,42}_84 Order 672 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-11 * R^4 * S^-10 ] R60.6 : Type {8,42}_168 Order 672 mV = 21 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^42 ] R60.7 : Type {10,32}_160 Order 640 mV = 16 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^32 ] R60.8 : Type {12,26}_156 Order 624 mV = 13 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^26 ] R60.9 : Type {14,22}_154 Order 616 mV = 11 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^22 ] R60.10 : Type {14,140}_20 Order 560 mV = 140 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^10 * R * S^-2 * R * S^8 ] R60.11 : Type {16,36}_144 Order 576 mV = 18 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^9 * R^-6 * S^6 * R^-1 * S^-1 * R * S^2 ] R60.12 : Type {22,132}_12 Order 528 mV = 132 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^17 * S^-1 * R * S^-1 * R^2 ] R60.13 : Type {26,130}_10 Order 520 mV = 130 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^2 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 ] R60.14 : Type {33,44}_6 Order 528 mV = 11 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S ] R60.15 : Type {62,124}_4 Order 496 mV = 124 mF = 31 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^28 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ] R60.16 : Type {63,63}_4 Order 504 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^46 * R^-1 * S * R^-11 * S^2 ] R60.17 : Type {82,123}_6 Order 492 mV = 123 mF = 41 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^5 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ] R60.18 : Type {121,242}_2 Order 484 mV = 242 mF = 121 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^102 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R60.19 : Type {122,122}_2 Order 488 mV = 122 mF = 122 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R ] R60.20 : Type {240,240}_2 Order 480 mV = 240 mF = 240 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * S^-2 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-49 ] R61.1 : Type {4,6}_60 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2 * R * S^-2 * R * S^-1)^2 ] R61.2 : Type {4,6}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R61.3 : Type {4,14}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R61.4 : Type {4,24}_8 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S^-6 * R^-2 * S^5 * R^-1 * S^-1 * R ] R61.5 : Type {4,24}_4 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S ] R61.6 : Type {4,64}_64 Order 1024 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^64 ] R61.7 : Type {4,64}_64 Order 1024 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 * R^2 * S^5 * R^-1 * S^-1 * R * S^10 ] R61.8 : Type {4,124}_124 Order 992 mV = 62 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^124 ] R61.9 : Type {4,244}_122 Order 976 mV = 244 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^61 * R^2 * S^61 ] R61.10 : Type {5,10}_30 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^10 ] R61.11 : Type {5,10}_6 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R61.12 : Type {6,6}_6 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S ] R61.13 : Type {6,6}_6 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-2 * R * S^-1)^2, (R * S^-1 * R)^4 ] R61.14 : Type {6,6}_10 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, (R * S^-1 * R)^4, (R * S^-2)^4, S^2 * R * S^-1 * R^-2 * S * R^-3 * S^3 * R^-1 ] R61.15 : Type {6,12}_12 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R61.16 : Type {6,12}_6 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, R^2 * S^-2 * R^2 * S^4 ] R61.17 : Type {6,18}_36 Order 864 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^18 ] R61.18 : Type {6,48}_16 Order 768 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^7 * R * S^-1 * R^-2 * S^-1 * R * S^7 ] R61.19 : Type {6,48}_16 Order 768 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R61.20 : Type {6,63}_126 Order 756 mV = 21 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-63 ] R61.21 : Type {6,183}_122 Order 732 mV = 183 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-31 * R^2 * S^-30 ] R61.22 : Type {10,15}_6 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ] R61.23 : Type {14,14}_6 Order 672 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ] R61.24 : Type {18,36}_8 Order 576 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-2 * S * R^-1 * S * R^-1 * S * R^-7 * S^3 * R^-1 ] R61.25 : Type {18,36}_4 Order 576 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S^2 * R^-2 * T * S^-1 * R^10 * T * S * R^-2 ] R61.26 : Type {24,24}_12 Order 576 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R^4)^2, R * S^-1 * R^-3 * S * R^4 * S * R^-3 * S^-1 * R ] R61.27 : Type {24,24}_12 Order 576 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, (R^5 * S^-1 * R^6)^2 ] R61.28 : Type {24,24}_12 Order 576 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R^-12 * S^7 ] R61.29 : Type {24,24}_12 Order 576 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^5 * R * S^-1 * R * S^6 ] R61.30 : Type {30,45}_18 Order 540 mV = 15 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^2 * S^-4 * R^4 * S^-5 ] R61.31 : Type {33,66}_4 Order 528 mV = 22 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^16 * S^-2 * R * S^-1 * R^8 * S^-1 * R^2 * S^-1 ] R61.32 : Type {64,64}_4 Order 512 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^29 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-5 * S ] R61.33 : Type {64,64}_8 Order 512 mV = 32 mF = 32 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^2 * R^-3 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-3 * S^2 ] R61.34 : Type {64,64}_4 Order 512 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^12 * S^-1 * R^9 * S^-3 * R * S^-2 * R ] R61.35 : Type {123,246}_2 Order 492 mV = 246 mF = 123 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^51 * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T * R^-54 ] R61.36 : Type {124,124}_2 Order 496 mV = 124 mF = 124 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-51 * R ] R61.37 : Type {244,244}_2 Order 488 mV = 244 mF = 244 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^103 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-2 ] R62.1 : Type {4,126}_252 Order 1008 mV = 63 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^126 ] R62.2 : Type {4,248}_248 Order 992 mV = 248 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^62 * R^2 * S^62 ] R62.3 : Type {6,64}_192 Order 768 mV = 32 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^64 ] R62.4 : Type {6,186}_62 Order 744 mV = 186 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^31 * R^2 * S^31 ] R62.5 : Type {8,84}_168 Order 672 mV = 42 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^21 * R^4 * S^21 ] R62.6 : Type {10,155}_62 Order 620 mV = 155 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-16 * R * S^3 * R^-1 * S^-12 ] R62.7 : Type {20,70}_28 Order 560 mV = 35 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^7 * R * S^-1 * R * S^6 ] R62.8 : Type {44,66}_12 Order 528 mV = 33 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^-1 * R^2 * S^-4 * R^10 * S^-1 * R * S^-1 * R * S^-1 ] R62.9 : Type {125,250}_2 Order 500 mV = 250 mF = 125 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^106 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R62.10 : Type {126,126}_2 Order 504 mV = 126 mF = 126 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^106 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R62.11 : Type {248,248}_2 Order 496 mV = 248 mF = 248 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^55 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-52 ] R63.1 : Type {4,66}_66 Order 1056 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^66 ] R63.2 : Type {4,128}_128 Order 1024 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^128 ] R63.3 : Type {4,128}_128 Order 1024 mV = 64 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 * R * S^-1 * R * S^31 ] R63.4 : Type {4,252}_126 Order 1008 mV = 252 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^63 * R^2 * S^63 ] R63.5 : Type {7,9}_6 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-9 ] R63.6 : Type {7,9}_14 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, S * R^-1 * S * R^3 * S * R^-1 * S^2 ] R63.7 : Type {7,9}_14 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-7, S^-9, (R * S^-3 * R^2)^2 ] R63.8 : Type {8,44}_88 Order 704 mV = 22 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^44 ] R63.9 : Type {8,44}_88 Order 704 mV = 11 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^44 ] R63.10 : Type {8,168}_84 Order 672 mV = 168 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^21 * R * S^-2 * R * S^19 ] R63.11 : Type {8,168}_42 Order 672 mV = 168 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^21 * R^2 * S^21 ] R63.12 : Type {12,21}_56 Order 672 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^4 * S^-3 ] R63.13 : Type {12,52}_78 Order 624 mV = 26 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^13 * R^6 * S^13 ] R63.14 : Type {16,20}_80 Order 640 mV = 10 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^20 ] R63.15 : Type {16,20}_80 Order 640 mV = 5 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^20 ] R63.16 : Type {16,144}_18 Order 576 mV = 144 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^13 * R^-1 * S^-1 * R * S^4 ] R63.17 : Type {16,144}_36 Order 576 mV = 144 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^9 * R * S^-4 * R * S^5 ] R63.18 : Type {20,140}_14 Order 560 mV = 140 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, S^3 * R^-11 * S^4 * R^-1 * S ] R63.19 : Type {38,133}_14 Order 532 mV = 133 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^6 * R^-1 * S^-6, R^-2 * S * R^-10 * S^6 ] R63.20 : Type {44,132}_6 Order 528 mV = 132 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^8 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-5 * S ] R63.21 : Type {66,66}_4 Order 528 mV = 22 mF = 22 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^49 * R^-1 * S * R^-11 * S^2 ] R63.22 : Type {86,129}_6 Order 516 mV = 129 mF = 43 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^9 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-6 ] R63.23 : Type {127,254}_2 Order 508 mV = 254 mF = 127 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T * R^-54 ] R63.24 : Type {128,128}_4 Order 512 mV = 128 mF = 128 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^30 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ] R63.25 : Type {128,128}_2 Order 512 mV = 128 mF = 128 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^109 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * R ] R63.26 : Type {252,252}_2 Order 504 mV = 252 mF = 252 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^107 * R^-1 * S * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R64.1 : Type {3,24}_14 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-3 * R * S^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R64.2 : Type {3,24}_8 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ] R64.3 : Type {3,42}_6 Order 1764 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-8 * R^-1 * S^13 * R^-1 * S^-7 ] R64.4 : Type {4,18}_4 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-18 ] R64.5 : Type {4,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^18 ] R64.6 : Type {4,130}_260 Order 1040 mV = 65 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^130 ] R64.7 : Type {4,256}_256 Order 1024 mV = 256 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^64 * R^2 * S^64 ] R64.8 : Type {5,8}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (S * R^-1 * S)^3, R * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * R * S^-3 ] R64.9 : Type {5,8}_4 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8 ] R64.10 : Type {6,24}_8 Order 864 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R64.11 : Type {6,24}_24 Order 864 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S^5 ] R64.12 : Type {6,24}_24 Order 864 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ] R64.13 : Type {6,24}_8 Order 864 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4, R^2 * S^-2 * R^3 * S^-3 * R * S^-1 ] R64.14 : Type {6,24}_24 Order 864 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^24 ] R64.15 : Type {6,24}_24 Order 864 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ] R64.16 : Type {6,24}_24 Order 864 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R64.17 : Type {6,24}_24 Order 864 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^24 ] R64.18 : Type {6,24}_12 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^5 * R^-3 * S^7 ] R64.19 : Type {6,66}_66 Order 792 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^11 * R * S^-1 * R * S^10 ] R64.20 : Type {6,66}_66 Order 792 mV = 22 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^66 ] R64.21 : Type {6,66}_66 Order 792 mV = 33 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^66 ] R64.22 : Type {6,192}_64 Order 768 mV = 192 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^32 * R * S^-1 * R * S^31 ] R64.23 : Type {8,12}_24 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R64.24 : Type {8,12}_24 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ] R64.25 : Type {10,34}_170 Order 680 mV = 17 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^34 ] R64.26 : Type {10,160}_32 Order 640 mV = 160 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^16 * R^2 * S^16 ] R64.27 : Type {12,15}_30 Order 720 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ] R64.28 : Type {12,15}_6 Order 720 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, S^-3 * R^-3 * S * R^-3 * S^-1, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ] R64.29 : Type {12,78}_52 Order 624 mV = 39 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^13 * R * S^-3 * R * S^10 ] R64.30 : Type {18,18}_6 Order 648 mV = 3 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-2 * R^11 * S^-1 * R * S^-1 ] R64.31 : Type {18,18}_6 Order 648 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^-5 * S * R^-11 * S ] R64.32 : Type {18,18}_18 Order 648 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-1 * S * R^-2 * S * R^-6 * S * R^-5 * S, R^18 ] R64.33 : Type {18,18}_6 Order 648 mV = 3 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-5, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R ] R64.34 : Type {18,18}_18 Order 648 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^18 ] R64.35 : Type {18,144}_16 Order 576 mV = 144 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ] R64.36 : Type {21,42}_14 Order 588 mV = 21 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-8 * S^-1 * R^5, S^-1 * R^13 * S^-1 * R^6 ] R64.37 : Type {28,70}_20 Order 560 mV = 35 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^4 * S^-6 ] R64.38 : Type {34,136}_8 Order 544 mV = 136 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^6 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^6 ] R64.39 : Type {45,90}_6 Order 540 mV = 45 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^11 * S^-5 * R^2 * S^-1 * R * S^-1 * T * R^-12 * T * S^-1 * R^5 * S^-5 ] R64.40 : Type {66,132}_4 Order 528 mV = 132 mF = 33 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^32 * R^-6 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 ] R64.41 : Type {129,258}_2 Order 516 mV = 258 mF = 129 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^59 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T * R^-52 * S ] R64.42 : Type {130,130}_2 Order 520 mV = 130 mF = 130 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^114 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T ] R64.43 : Type {256,256}_2 Order 512 mV = 256 mF = 256 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^109 * T * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-2 ] R65.1 : Type {3,8}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S, S * R * S^-3 * R^-1 * S^2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^-3 * R * S^2 ] R65.2 : Type {3,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (S * R^-1 * S)^5, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] R65.3 : Type {3,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 ] R65.4 : Type {4,5}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^8, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-2 ] R65.5 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^2, R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 ] R65.6 : Type {4,6}_6 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^8 ] R65.7 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^2, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R65.8 : Type {4,6}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1, R * S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * S ] R65.9 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, (R * S^-1)^8, R * S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R65.10 : Type {4,6}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, (R * S^-1)^8, R * S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 ] R65.11 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R65.12 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, (R * S^-1)^8, R * S^-1 * R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R * S^-1 * R * S^2, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R65.13 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R65.14 : Type {4,8}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S ] R65.15 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-1)^8 ] R65.16 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] R65.17 : Type {4,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R65.18 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R65.19 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R65.20 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R * S^2 ] R65.21 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S ] R65.22 : Type {4,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R65.23 : Type {4,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R65.24 : Type {4,8}_32 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] R65.25 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R ] R65.26 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R65.27 : Type {4,12}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4, (R * S^-5)^2, S^12 ] R65.28 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, (R * S^-2)^4 ] R65.29 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^-4 * R ] R65.30 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^12 ] R65.31 : Type {4,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R65.32 : Type {4,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, S^12, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] R65.33 : Type {4,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 ] R65.34 : Type {4,12}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^12 ] R65.35 : Type {4,12}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R65.36 : Type {4,12}_48 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1)^8 ] R65.37 : Type {4,20}_10 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] R65.38 : Type {4,20}_10 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-4 * R * S^5 ] R65.39 : Type {4,20}_20 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^20 ] R65.40 : Type {4,20}_20 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-4 * R * S^5 ] R65.41 : Type {4,20}_40 Order 1280 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^20 ] R65.42 : Type {4,36}_36 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^36 ] R65.43 : Type {4,36}_72 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-8 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-7 ] R65.44 : Type {4,36}_72 Order 1152 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^36 ] R65.45 : Type {4,68}_68 Order 1088 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^68 ] R65.46 : Type {4,132}_132 Order 1056 mV = 66 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^132 ] R65.47 : Type {4,260}_130 Order 1040 mV = 260 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^65 * R^2 * S^65 ] R65.48 : Type {5,5}_8 Order 2560 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2, S^-2 * R^-2 * S^2 * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ] R65.49 : Type {5,6}_10 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, (R * S^-2)^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S * R^-1 * S^2 * R^-1 * S ] R65.50 : Type {6,6}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-1 ] R65.51 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ] R65.52 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S * R^-2 * S ] R65.53 : Type {6,6}_4 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^6 ] R65.54 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, (S^-1 * R^2 * S^-1)^3 ] R65.55 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R65.56 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S ] R65.57 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R65.58 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^2 * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R ] R65.59 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^6, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] R65.60 : Type {6,7}_28 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-7, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] R65.61 : Type {6,15}_40 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 ] R65.62 : Type {6,51}_68 Order 816 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-9 * R^2 * S^-1 * R^2 * S^-7 ] R65.63 : Type {6,195}_130 Order 780 mV = 195 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-33 * R * S * R^-1 * S^-31 ] R65.64 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3 ] R65.65 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, S * R * S^-3 * R^2 * S^4 * R^-1 ] R65.66 : Type {8,8}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R65.67 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R65.68 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1 ] R65.69 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R65.70 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R65.71 : Type {8,8}_16 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R65.72 : Type {8,8}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R65.73 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R65.74 : Type {8,8}_16 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ] R65.75 : Type {8,8}_16 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ] R65.76 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ] R65.77 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^8, R * S^-4 * R^2 * S^3 * R^-1 * S^-1 ] R65.78 : Type {8,8}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R65.79 : Type {8,8}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^8 ] R65.80 : Type {8,8}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 ] R65.81 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] R65.82 : Type {8,8}_4 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8 ] R65.83 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R65.84 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^8, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R65.85 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R65.86 : Type {8,8}_4 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R65.87 : Type {8,8}_4 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^8, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R65.88 : Type {8,24}_24 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R65.89 : Type {8,24}_24 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^24 ] R65.90 : Type {8,24}_12 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^3 ] R65.91 : Type {8,24}_12 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R65.92 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^24 ] R65.93 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^3 * R * S^-2 * R^-3 * S^7 ] R65.94 : Type {8,24}_6 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R65.95 : Type {8,24}_12 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^3 * S^2 * R^-1 * S^-1 ] R65.96 : Type {8,24}_12 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R65.97 : Type {8,24}_12 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-5 * R^2 * S^-1 * R^-1 * S^4 * R^-1 * S^-2 ] R65.98 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R65.99 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, (R * S^-6 * R)^2 ] R65.100 : Type {8,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^24 ] R65.101 : Type {8,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^24 ] R65.102 : Type {8,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ] R65.103 : Type {8,24}_12 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R65.104 : Type {8,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^6 * R^4 * S^6 ] R65.105 : Type {8,24}_12 Order 768 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^2 * R * S^-5 * R^2 * S^-1 * R * S^4 ] R65.106 : Type {8,24}_24 Order 768 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R * S^-5 * R^2 * S^-6 ] R65.107 : Type {8,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^6 * R^4 * S^6 ] R65.108 : Type {8,24}_24 Order 768 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R65.109 : Type {8,24}_12 Order 768 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R65.110 : Type {8,88}_44 Order 704 mV = 44 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^22 * R^3 * S^-5 * R^-1 * S^17 ] R65.111 : Type {8,88}_44 Order 704 mV = 44 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^22 * R * S^-1 * R * S^21 ] R65.112 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2 ] R65.113 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2, R^12, S^-1 * R^6 * S^-5 ] R65.114 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, R^12, R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 ] R65.115 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2, R^12, S^-1 * R^6 * S^-5 ] R65.116 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^12, S^-1 * R^6 * S^-5, S * R * S^-2 * R^3 * S^3 * R^-2 ] R65.117 : Type {12,12}_4 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-5, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] R65.118 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S^-4 * R^2 * S * R^-1 * S^-1 * R, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R65.119 : Type {12,12}_4 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-5, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R65.120 : Type {12,12}_8 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, R^12, (R * S^-1 * R)^4 ] R65.121 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^12 ] R65.122 : Type {12,12}_8 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R^12 ] R65.123 : Type {12,12}_4 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-2 * R^5 * S^-3 * R * S^-1 ] R65.124 : Type {12,12}_8 Order 768 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R^6 * S^-5, (R * S^-2)^4 ] R65.125 : Type {12,12}_8 Order 768 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R65.126 : Type {12,28}_84 Order 672 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^28 ] R65.127 : Type {12,156}_26 Order 624 mV = 156 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^13 * R^2 * S^13 ] R65.128 : Type {20,20}_4 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^5 * S^-4, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] R65.129 : Type {20,20}_8 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S * R * S^-1 * R^3 * S^3 * R^-1 ] R65.130 : Type {20,20}_4 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^4, S^-2 * R * S^-2 * R * S^-1 * R^9 * S^-2 * R^2 ] R65.131 : Type {20,20}_8 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2 ] R65.132 : Type {20,20}_8 Order 640 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^7 * S^-4 * R^2 * S^-1 * R ] R65.133 : Type {22,143}_26 Order 572 mV = 143 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S * R * S^-10 ] R65.134 : Type {28,140}_10 Order 560 mV = 140 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-1 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-2 * S ] R65.135 : Type {36,36}_4 Order 576 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^18 * S^-1 * R * S^-2 * R^8 * S^-1 * R^2 * S^-1 * R ] R65.136 : Type {36,36}_8 Order 576 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-1 * S * R^-1 * S^5 * R^-8 * S ] R65.137 : Type {36,36}_4 Order 576 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^3 * R^-12 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S ] R65.138 : Type {54,135}_10 Order 540 mV = 135 mF = 27 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^2 * R^-2 * S * R^-16 * S * R^-1 * S * R^-1 * S^2 ] R65.139 : Type {68,68}_4 Order 544 mV = 34 mF = 34 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^39 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^7 ] R65.140 : Type {131,262}_2 Order 524 mV = 262 mF = 131 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^57 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-10 * S * R^-55 ] R65.141 : Type {132,132}_2 Order 528 mV = 132 mF = 132 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-56 * S ] R65.142 : Type {260,260}_2 Order 520 mV = 260 mF = 260 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^113 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * S^-1 * T ] R66.1 : Type {3,26}_6 Order 2028 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^26 ] R66.2 : Type {4,30}_12 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^6 ] R66.3 : Type {4,69}_138 Order 1104 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-69 ] R66.4 : Type {4,134}_268 Order 1072 mV = 67 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^134 ] R66.5 : Type {4,264}_264 Order 1056 mV = 264 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^66 * R^2 * S^66 ] R66.6 : Type {6,68}_204 Order 816 mV = 34 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^68 ] R66.7 : Type {8,20}_8 Order 800 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R * S^-3 * R^-2 * S^6 ] R66.8 : Type {8,46}_184 Order 736 mV = 23 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^46 ] R66.9 : Type {9,10}_18 Order 900 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^10 ] R66.10 : Type {10,35}_70 Order 700 mV = 7 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-35 ] R66.11 : Type {10,165}_66 Order 660 mV = 165 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-17 * R^2 * S^-16 ] R66.12 : Type {13,26}_26 Order 676 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-13 ] R66.13 : Type {14,24}_168 Order 672 mV = 12 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^24 ] R66.14 : Type {14,154}_22 Order 616 mV = 154 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^11 * R * S^-3 * R * S^8 ] R66.15 : Type {26,143}_22 Order 572 mV = 143 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-2 * S^6 ] R66.16 : Type {30,30}_10 Order 600 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S * R^-1 * S, S^4 * R * S^-1 * R * S^5 ] R66.17 : Type {30,30}_10 Order 600 mV = 6 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^23 * S^-1 * R * S^-1 * R^4 ] R66.18 : Type {46,138}_6 Order 552 mV = 138 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^11 * R^-6 * S * R^-1 * S^2 * R^-1 * T * S^-1 * R^10 * S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-6 * S ] R66.19 : Type {68,136}_8 Order 544 mV = 136 mF = 34 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-2 * R^4 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^4 * S^-2 ] R66.20 : Type {69,69}_4 Order 552 mV = 23 mF = 23 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^52 * R^-1 * S * R^-11 * S^2 ] R66.21 : Type {133,266}_2 Order 532 mV = 266 mF = 133 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-57 * S ] R66.22 : Type {134,134}_2 Order 536 mV = 134 mF = 134 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^114 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ] R66.23 : Type {264,264}_2 Order 528 mV = 264 mF = 264 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^56 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * S^-1 * R * T * R^-57 ] R67.1 : Type {4,48}_16 Order 1152 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-6 * R^-1 * S * R * S^-1 * R^2 * S^-8 ] R67.2 : Type {4,48}_16 Order 1152 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-4 * R^-1 * S^4 * R^-1 * S ] R67.3 : Type {4,136}_136 Order 1088 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^136 ] R67.4 : Type {4,136}_136 Order 1088 mV = 68 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^34 * R * S^-1 * R * S^33 ] R67.5 : Type {4,268}_134 Order 1072 mV = 268 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^67 * R^2 * S^67 ] R67.6 : Type {6,36}_18 Order 864 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^9 * R^2 * S^2 * R^-1 * S^-1 * R * S^6 ] R67.7 : Type {6,69}_138 Order 828 mV = 23 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-69 ] R67.8 : Type {6,201}_134 Order 804 mV = 201 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-34 * R^2 * S^-33 ] R67.9 : Type {8,10}_6 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1 ] R67.10 : Type {8,10}_12 Order 960 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^10, S^2 * R^-1 * S * R^3 * S^2 * R^-1 * S * R^-1, S^4 * R^3 * S^4 * R^-1 ] R67.11 : Type {9,12}_72 Order 864 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R67.12 : Type {12,42}_56 Order 672 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-5 ] R67.13 : Type {16,40}_80 Order 640 mV = 20 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^10 * R * S^-1 * R * S^9 ] R67.14 : Type {16,40}_80 Order 640 mV = 20 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^10 * R^-6 * S^6 * R^-1 * S^-1 * R * S^3 ] R67.15 : Type {36,72}_8 Order 576 mV = 36 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R^-5 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-6 * S ] R67.16 : Type {36,72}_8 Order 576 mV = 36 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-1 * S^5 * R^-4 * S^3 * R^-11 * S * R^-5 * S^5 * R^-1 ] R67.17 : Type {48,48}_6 Order 576 mV = 24 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^14 * S^-4 * R^5 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-6 ] R67.18 : Type {48,48}_12 Order 576 mV = 24 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, S^-1 * R^3 * S^-1 * R^12 * S^-1 * R^4 * S^-1 * R ] R67.19 : Type {48,48}_6 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^2 * T * R^-3 * S * R^-7 * S * T * R^2 ] R67.20 : Type {48,48}_12 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^5 * S * R^-1 * S^-3 ] R67.21 : Type {135,270}_2 Order 540 mV = 270 mF = 135 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^117 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R67.22 : Type {136,136}_4 Order 544 mV = 136 mF = 136 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^38 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^6 * S^-1 ] R67.23 : Type {136,136}_2 Order 544 mV = 136 mF = 136 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^119 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R67.24 : Type {268,268}_2 Order 536 mV = 268 mF = 268 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^115 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * S^-1 * T ] R68.1 : Type {4,138}_276 Order 1104 mV = 69 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^138 ] R68.2 : Type {4,272}_272 Order 1088 mV = 272 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^68 * R^2 * S^68 ] R68.3 : Type {6,70}_210 Order 840 mV = 35 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^70 ] R68.4 : Type {6,204}_68 Order 816 mV = 204 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^34 * R^2 * S^34 ] R68.5 : Type {8,92}_184 Order 736 mV = 46 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^23 * R^3 * S^-5 * R^-1 * S^18 ] R68.6 : Type {10,36}_180 Order 720 mV = 18 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^36 ] R68.7 : Type {10,170}_34 Order 680 mV = 170 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^17 * R * S^-1 * R * S^16 ] R68.8 : Type {12,56}_168 Order 672 mV = 28 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^14 * R^5 * S^-3 * R^-1 * S^11 ] R68.9 : Type {18,153}_34 Order 612 mV = 153 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-9 * R * S^4 * R^-1 * S^-4 ] R68.10 : Type {20,32}_160 Order 640 mV = 16 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^-9 * S^6 * R^-1 * S^-2 ] R68.11 : Type {36,144}_16 Order 576 mV = 144 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-10 * S^6 ] R68.12 : Type {70,140}_4 Order 560 mV = 140 mF = 35 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^41 * S^-1 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^7 ] R68.13 : Type {137,274}_2 Order 548 mV = 274 mF = 137 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^119 * R^-1 * S * T * R^9 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R68.14 : Type {138,138}_2 Order 552 mV = 138 mF = 138 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^121 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R68.15 : Type {272,272}_2 Order 544 mV = 272 mF = 272 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^118 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R69.1 : Type {3,9}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (R * S^-3)^4 ] R69.2 : Type {3,9}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2 ] R69.3 : Type {3,9}_34 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 ] R69.4 : Type {4,72}_72 Order 1152 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^72 ] R69.5 : Type {4,72}_72 Order 1152 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 * R * S^-2 * R * S^16 ] R69.6 : Type {4,72}_36 Order 1152 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^7 * R * S^-1 * R^-1 * S * R * S^-4 * R * S * R^-1 * S^-1 * R * S^3 ] R69.7 : Type {4,72}_18 Order 1152 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ] R69.8 : Type {4,72}_72 Order 1152 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^72 ] R69.9 : Type {4,72}_36 Order 1152 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^18 * R^2 * S^5 * R^-1 * S^-1 * R * S^12 ] R69.10 : Type {4,140}_140 Order 1120 mV = 70 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^140 ] R69.11 : Type {4,276}_138 Order 1104 mV = 276 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^69 * R^2 * S^69 ] R69.12 : Type {6,20}_20 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-4 * R * S^5, (R * S^-3 * R * S^-2)^2 ] R69.13 : Type {6,20}_20 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-4)^2 ] R69.14 : Type {6,20}_60 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^20 ] R69.15 : Type {6,20}_4 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ] R69.16 : Type {6,20}_8 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3 * R)^2, (R * S^-4)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R69.17 : Type {8,48}_48 Order 768 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^12 * R * S^-2 * R * S^10 ] R69.18 : Type {8,48}_48 Order 768 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 * R^3 * S^-6 * R * S^6 ] R69.19 : Type {8,48}_48 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^48 ] R69.20 : Type {8,48}_48 Order 768 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^48 ] R69.21 : Type {8,48}_48 Order 768 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^12 * R^3 * S^-4 * R * S^8 ] R69.22 : Type {8,48}_48 Order 768 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R^4 * S^12 ] R69.23 : Type {8,48}_48 Order 768 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R^3 * S^-2 * R * S^10 ] R69.24 : Type {8,48}_48 Order 768 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^12 * R * S^-1 * R * S^11 ] R69.25 : Type {8,48}_48 Order 768 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^5 * R * S^-1 * R * S^6 ] R69.26 : Type {8,48}_48 Order 768 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R69.27 : Type {8,184}_46 Order 736 mV = 184 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^23 * R * S^-2 * R * S^21 ] R69.28 : Type {8,184}_92 Order 736 mV = 184 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^23 * R^2 * S^23 ] R69.29 : Type {12,16}_48 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-2 * R^-6 * S^-6 ] R69.30 : Type {12,16}_48 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R69.31 : Type {12,16}_24 Order 768 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, R^12, S^-2 * R^-6 * S^-6 ] R69.32 : Type {12,16}_24 Order 768 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (S * R^-1 * S)^3, R^12, S^-2 * R^-6 * S^-6 ] R69.33 : Type {12,16}_48 Order 768 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^16 ] R69.34 : Type {12,16}_48 Order 768 mV = 4 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R69.35 : Type {12,84}_28 Order 672 mV = 42 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^14 * R * S^-1 * R * S^13 ] R69.36 : Type {14,161}_46 Order 644 mV = 161 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-12 * R * S * R^-1 * S^-10 ] R69.37 : Type {16,80}_20 Order 640 mV = 40 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^10 * R * S^-1 * R * S^9 ] R69.38 : Type {16,80}_40 Order 640 mV = 40 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^10 * R * S^-1 * R * S^9 ] R69.39 : Type {16,80}_40 Order 640 mV = 40 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^10 * R * S^-5 * R * S^5 ] R69.40 : Type {16,80}_20 Order 640 mV = 40 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^10 * R * S^-5 * R * S^5 ] R69.41 : Type {20,40}_8 Order 640 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^2 * S^-1 * R^10 * S^-1 * R^3 * S^-2 * R ] R69.42 : Type {20,40}_4 Order 640 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-5 * S * R^-8 * S^2 * R^-1 * S^3 ] R69.43 : Type {72,72}_8 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^11 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R69.44 : Type {72,72}_8 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-14 * S^3 * R^-1 ] R69.45 : Type {72,72}_4 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-1 * R^17 * S^-1 * R * S^-2 * R^8 * S^-1 * R^2 * S^-2 ] R69.46 : Type {72,72}_4 Order 576 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^55 * R^-1 * S * R^-11 * S^2 ] R69.47 : Type {72,72}_4 Order 576 mV = 36 mF = 36 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^36 * R^-7 * S * R^-1 * S * R^-2 * T * R^12 * T * R^-2 * S * R^-1 * S * R^-7 ] R69.48 : Type {72,72}_4 Order 576 mV = 36 mF = 36 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-12 * S^2 * R^-13 * S * R^-2 * S * R^-2 ] R69.49 : Type {94,141}_6 Order 564 mV = 141 mF = 47 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^16 * S^-1 * R * S^-2 * R * S^-1 * R^10 * S^-1 * R * S^-2 * R * S^-1 * R^6 * S^-1 ] R69.50 : Type {139,278}_2 Order 556 mV = 278 mF = 139 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^121 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R69.51 : Type {140,140}_2 Order 560 mV = 140 mF = 140 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^123 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R69.52 : Type {276,276}_2 Order 552 mV = 276 mF = 276 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^120 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R70.1 : Type {4,142}_284 Order 1136 mV = 71 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^142 ] R70.2 : Type {4,280}_280 Order 1120 mV = 280 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^70 * R^2 * S^70 ] R70.3 : Type {5,11}_4 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^6, (S^-2 * R * S^-1)^3 ] R70.4 : Type {5,11}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S * R^-1 * S)^3, (S^-1 * R)^5 ] R70.5 : Type {6,72}_72 Order 864 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^72 ] R70.6 : Type {6,72}_72 Order 864 mV = 36 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^72 ] R70.7 : Type {6,210}_70 Order 840 mV = 210 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^35 * R * S^-1 * R * S^34 ] R70.8 : Type {12,30}_60 Order 720 mV = 15 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^4 * R * S^-1 * R * S^5 ] R70.9 : Type {12,30}_60 Order 720 mV = 5 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^30 ] R70.10 : Type {12,30}_60 Order 720 mV = 15 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^30 ] R70.11 : Type {12,168}_56 Order 672 mV = 168 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^14 * R * S^-4 * R * S^10 ] R70.12 : Type {16,22}_176 Order 704 mV = 11 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^22 ] R70.13 : Type {22,154}_14 Order 616 mV = 154 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^17 * S^-1 * R * S^-1 * R^2 ] R70.14 : Type {58,145}_10 Order 580 mV = 145 mF = 29 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-4 * R * S^-1 * R^16 * S^-1 * R * S^-1 * R^2 * S^-2 ] R70.15 : Type {141,282}_2 Order 564 mV = 282 mF = 141 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^123 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R70.16 : Type {142,142}_2 Order 568 mV = 142 mF = 142 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^125 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R70.17 : Type {280,280}_2 Order 560 mV = 280 mF = 280 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^122 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R71.1 : Type {4,144}_144 Order 1152 mV = 72 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^144 ] R71.2 : Type {4,144}_144 Order 1152 mV = 72 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 * R * S^-1 * R * S^35 ] R71.3 : Type {4,284}_142 Order 1136 mV = 284 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^71 * R^2 * S^71 ] R71.4 : Type {6,8}_4 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2 ] R71.5 : Type {6,8}_8 Order 1344 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, (R * S^-2)^4 ] R71.6 : Type {6,8}_14 Order 1344 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] R71.7 : Type {6,8}_16 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-2 * R^-2 * S * R^-2 * S * R^-1 ] R71.8 : Type {6,8}_16 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R^-2 * S)^3 ] R71.9 : Type {6,8}_6 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-3 * R)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] R71.10 : Type {6,213}_142 Order 852 mV = 213 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-36 * R * S * R^-1 * S^-34 ] R71.11 : Type {8,12}_10 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R71.12 : Type {8,12}_20 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R71.13 : Type {8,96}_96 Order 768 mV = 48 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^24 * R^3 * S^-5 * R^-1 * S^19 ] R71.14 : Type {8,96}_96 Order 768 mV = 48 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^24 * R * S^-1 * R * S^23 ] R71.15 : Type {9,9}_18 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-9, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3 ] R71.16 : Type {20,80}_16 Order 640 mV = 40 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-14 * S, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ] R71.17 : Type {20,80}_16 Order 640 mV = 40 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, R^2 * S^-1 * R^10 * S^-1 * R^3 * S^-2 * R ] R71.18 : Type {143,286}_2 Order 572 mV = 286 mF = 143 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^125 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R71.19 : Type {144,144}_4 Order 576 mV = 144 mF = 144 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^35 * R^-7 * S * R^-1 * S * R^-2 * T * R^12 * T * R^-2 * S * R^-1 * S * R^-6 * S ] R71.20 : Type {144,144}_2 Order 576 mV = 144 mF = 144 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^127 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R71.21 : Type {284,284}_2 Order 568 mV = 284 mF = 284 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^124 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R72.1 : Type {4,75}_150 Order 1200 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-75 ] R72.2 : Type {4,146}_292 Order 1168 mV = 73 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^146 ] R72.3 : Type {4,288}_288 Order 1152 mV = 288 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^72 * R^2 * S^72 ] R72.4 : Type {6,74}_222 Order 888 mV = 37 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^74 ] R72.5 : Type {8,50}_200 Order 800 mV = 25 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^50 ] R72.6 : Type {10,38}_190 Order 760 mV = 19 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^38 ] R72.7 : Type {10,180}_36 Order 720 mV = 180 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^18 * R * S^-2 * R * S^16 ] R72.8 : Type {14,26}_182 Order 728 mV = 13 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^26 ] R72.9 : Type {14,168}_24 Order 672 mV = 168 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^12 * R * S^-4 * R * S^8 ] R72.10 : Type {18,20}_180 Order 720 mV = 10 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^20 ] R72.11 : Type {20,160}_32 Order 640 mV = 160 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-14 * S, S^8 * R * S^-2 * R * S^6 ] R72.12 : Type {24,28}_168 Order 672 mV = 14 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * R * T * S^2 * T * S^-1 * R^-11 * S^7 ] R72.13 : Type {26,156}_12 Order 624 mV = 156 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^21 * S^-1 * R * S^-1 * R^2 ] R72.14 : Type {34,153}_18 Order 612 mV = 153 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^2 * R^-8 * S^7 ] R72.15 : Type {38,152}_8 Order 608 mV = 152 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^27 * S^-1 * R * S^-1 * R^8 ] R72.16 : Type {39,52}_6 Order 624 mV = 13 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-9 * S^4 ] R72.17 : Type {50,150}_6 Order 600 mV = 150 mF = 25 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^12 * R^-7 * S * R^-1 * S^2 * R^-1 * S * R^-24 ] R72.18 : Type {74,148}_4 Order 592 mV = 148 mF = 37 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^36 * R^-7 * S * R^-1 * S * R^-16 * S * R^-1 * S * R^-8 ] R72.19 : Type {75,75}_4 Order 600 mV = 25 mF = 25 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^58 * R^-1 * S * R^-11 * S^2 ] R72.20 : Type {98,147}_6 Order 588 mV = 147 mF = 49 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^10 * R^-7 * S * R^-1 * S^2 * R^-1 * S * R^-10 * S * R^-1 * S^2 * R^-1 * S * R^-8 ] R72.21 : Type {145,290}_2 Order 580 mV = 290 mF = 145 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^127 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R72.22 : Type {146,146}_2 Order 584 mV = 146 mF = 146 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^129 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R72.23 : Type {288,288}_2 Order 576 mV = 288 mF = 288 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^126 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R73.1 : Type {3,10}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] R73.2 : Type {3,10}_8 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4 ] R73.3 : Type {3,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-3 * R * S^-2 * R * S^-2 ] R73.4 : Type {3,12}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, (S * R^-1 * S)^12 ] R73.5 : Type {3,15}_40 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^2, S^-15 ] R73.6 : Type {3,24}_48 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^4 * R^-1 * S)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R73.7 : Type {3,24}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, (S * R^-1 * S)^6, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] R73.8 : Type {3,24}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-4 * R * S^-2 ] R73.9 : Type {3,30}_30 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R^-1 * S * R^-1 * S^5 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R73.10 : Type {3,42}_8 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^6 * R^-1 * S^-7 ] R73.11 : Type {4,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 ] R73.12 : Type {4,8}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R73.13 : Type {4,8}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^8 ] R73.14 : Type {4,8}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R73.15 : Type {4,8}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6 ] R73.16 : Type {4,8}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ] R73.17 : Type {4,8}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-2 * S^-1 * R * S^-2 ] R73.18 : Type {4,8}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^12 ] R73.19 : Type {4,8}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 ] R73.20 : Type {4,10}_24 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] R73.21 : Type {4,12}_6 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^12, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^4 ] R73.22 : Type {4,12}_12 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R^-2 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ] R73.23 : Type {4,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] R73.24 : Type {4,12}_12 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S ] R73.25 : Type {4,12}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^12 ] R73.26 : Type {4,20}_60 Order 1440 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^20 ] R73.27 : Type {4,28}_8 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-4 * R * S^-4 * R * S ] R73.28 : Type {4,28}_8 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R73.29 : Type {4,36}_18 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^9 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^5 ] R73.30 : Type {4,40}_40 Order 1280 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^40 ] R73.31 : Type {4,40}_40 Order 1280 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^-10 * R^-2 * S^-2 * R * S^3 * R^-1 * S^-5 ] R73.32 : Type {4,40}_20 Order 1280 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^10 * R^2 * S * R^-1 * S^-1 * R * S^8 ] R73.33 : Type {4,40}_40 Order 1280 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^-10 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-5 ] R73.34 : Type {4,76}_76 Order 1216 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^76 ] R73.35 : Type {4,148}_148 Order 1184 mV = 74 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^148 ] R73.36 : Type {4,292}_146 Order 1168 mV = 292 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^73 * R^2 * S^73 ] R73.37 : Type {5,10}_10 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, (R * S^-4)^2 ] R73.38 : Type {5,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2, S^10, (R * S^-4 * R)^2 ] R73.39 : Type {6,6}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R^2 * S^2 * T * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S * T * S^-1 * R * S^-1 ] R73.40 : Type {6,6}_6 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R73.41 : Type {6,6}_24 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R73.42 : Type {6,9}_4 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-9, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] R73.43 : Type {6,9}_12 Order 1296 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-9, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R73.44 : Type {6,9}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ] R73.45 : Type {6,9}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, R^2 * S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S ] R73.46 : Type {6,9}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-2 ] R73.47 : Type {6,9}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, R^-1 * S^2 * R^-2 * S^2 * R^-1 * S, R^2 * S * R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 ] R73.48 : Type {6,12}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, R^-1 * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^2 ] R73.49 : Type {6,12}_24 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^12, R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3 ] R73.50 : Type {6,12}_12 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^12 ] R73.51 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R73.52 : Type {6,12}_6 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ] R73.53 : Type {6,12}_24 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] R73.54 : Type {6,12}_6 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R^-2 * S)^3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-2 * R^-3 * S^2 * R^-2 * S^-1 ] R73.55 : Type {6,12}_6 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^2 * S^-2 * R^-3 * S^-3 * R * S^2 ] R73.56 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^12 ] R73.57 : Type {6,12}_6 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R73.58 : Type {6,12}_24 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^12 ] R73.59 : Type {6,21}_84 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-21 ] R73.60 : Type {6,27}_54 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-27 ] R73.61 : Type {6,27}_54 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^5 ] R73.62 : Type {6,27}_54 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-5 ] R73.63 : Type {6,30}_40 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2 ] R73.64 : Type {6,57}_76 Order 912 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-10 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-3 ] R73.65 : Type {6,75}_150 Order 900 mV = 25 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-75 ] R73.66 : Type {6,219}_146 Order 876 mV = 219 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-37 * R^2 * S^-36 ] R73.67 : Type {8,8}_6 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, R^-2 * S^2 * R^3 * S^2 * R^-2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R73.68 : Type {8,8}_6 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-1)^6 ] R73.69 : Type {8,8}_12 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^-2 * R^-1 * T * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ] R73.70 : Type {8,8}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ] R73.71 : Type {8,8}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S^-2 * R * S^2 ] R73.72 : Type {8,8}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, (R * S^-1)^6 ] R73.73 : Type {8,8}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ] R73.74 : Type {8,24}_12 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R73.75 : Type {8,24}_12 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R73.76 : Type {8,24}_6 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R73.77 : Type {8,24}_6 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] R73.78 : Type {10,10}_6 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^10, R^2 * S^-1 * R^4 * S * R^-2 * S^2 ] R73.79 : Type {12,12}_12 Order 864 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2 ] R73.80 : Type {12,12}_12 Order 864 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^12 ] R73.81 : Type {12,12}_4 Order 864 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^12, (R * S^-1 * R^4)^2 ] R73.82 : Type {12,12}_4 Order 864 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, (R * S^-1 * R^4)^2 ] R73.83 : Type {12,12}_12 Order 864 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, (R * S^-1)^6 ] R73.84 : Type {12,12}_12 Order 864 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, (R * S^-1)^6 ] R73.85 : Type {12,12}_12 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^12 ] R73.86 : Type {12,12}_12 Order 864 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^12 ] R73.87 : Type {12,12}_12 Order 864 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^12 ] R73.88 : Type {12,12}_12 Order 864 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^12, R * S^-1 * R^5 * S^-1 * R * S^3 ] R73.89 : Type {12,24}_8 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R73.90 : Type {12,24}_4 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S^4, R^12 ] R73.91 : Type {12,24}_4 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, R^12 ] R73.92 : Type {12,24}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R73.93 : Type {12,24}_8 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2 ] R73.94 : Type {12,24}_8 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S * R * S^-2 * R^2 * S^3 * R^-1 ] R73.95 : Type {12,24}_8 Order 768 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^2 * R * S^-1 * R^-4 * S^-1 * R * S^4 ] R73.96 : Type {12,24}_16 Order 768 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] R73.97 : Type {12,24}_16 Order 768 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^-2 * R^-3 * S^-4, R^12, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] R73.98 : Type {12,24}_8 Order 768 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12 ] R73.99 : Type {12,24}_4 Order 768 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, R^12, S^-3 * R^4 * S^-5 ] R73.100 : Type {12,24}_8 Order 768 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12 ] R73.101 : Type {12,24}_8 Order 768 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S ] R73.102 : Type {12,60}_30 Order 720 mV = 20 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^15 * R * S^-2 * R * S^13 ] R73.103 : Type {12,60}_30 Order 720 mV = 30 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^15 * R^6 * S^15 ] R73.104 : Type {12,60}_30 Order 720 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2 ] R73.105 : Type {15,30}_6 Order 720 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-3 * S^-2 * R^2, (S * R^-1 * S)^3 ] R73.106 : Type {15,30}_12 Order 720 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, R^-15 ] R73.107 : Type {20,20}_6 Order 720 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, S^2 * R^-1 * S^4 * R^-7 * S * R^-1 * S^3 * R^-1 ] R73.108 : Type {36,36}_6 Order 648 mV = 9 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, R * S^-2 * R^3 * S * R^-1 * S^-2 ] R73.109 : Type {36,36}_6 Order 648 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-2 * S^5 * R^-6 * S^2 * R^-1 * S^2 ] R73.110 : Type {39,78}_4 Order 624 mV = 26 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^34 * S^-1 * R^2 * S^-1 * R ] R73.111 : Type {40,40}_8 Order 640 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ] R73.112 : Type {40,40}_8 Order 640 mV = 20 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-2 * S * R^-1 * S^5 * R^-5 * S * R^-12 * S * R^-5 * S^6 * R^-1 ] R73.113 : Type {40,40}_4 Order 640 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-15 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S * R^-1 ] R73.114 : Type {40,40}_8 Order 640 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-2 * R * S^-1 * R^7 * S^-4 * R^3 * S^-1 ] R73.115 : Type {40,40}_8 Order 640 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R * S^-3 * R^2 * S^-1 * R^6 * S^-1 * R^3 * S^-1 * R^2 ] R73.116 : Type {51,102}_6 Order 612 mV = 51 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^14 * S^-5 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-6 ] R73.117 : Type {76,76}_4 Order 608 mV = 38 mF = 38 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^39 * R^-7 * S * R^-1 * S * R^-26 * S ] R73.118 : Type {147,294}_2 Order 588 mV = 294 mF = 147 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^61 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-8 * S * T * R^2 * T * R^-67 ] R73.119 : Type {148,148}_2 Order 592 mV = 148 mF = 148 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-2 * R^2 * T * S * R^-9 * T * R^3 * S^-1 ] R73.120 : Type {292,292}_2 Order 584 mV = 292 mF = 292 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^128 * R^-2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * S^-2 * T ] R74.1 : Type {4,150}_300 Order 1200 mV = 75 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^150 ] R74.2 : Type {4,296}_296 Order 1184 mV = 296 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^74 * R^2 * S^74 ] R74.3 : Type {6,76}_228 Order 912 mV = 38 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^76 ] R74.4 : Type {6,222}_74 Order 888 mV = 222 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^37 * R^2 * S^37 ] R74.5 : Type {8,27}_108 Order 864 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-27 ] R74.6 : Type {8,100}_200 Order 800 mV = 50 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^25 * R^3 * S^-5 * R^-1 * S^20 ] R74.7 : Type {10,185}_74 Order 740 mV = 185 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-19 * R * S * R^-1 * S^-17 ] R74.8 : Type {16,44}_176 Order 704 mV = 22 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^11 * R^-6 * S^2 * T * S^-2 * T * S^2 * R^-1 * S^-1 * R * S^4 ] R74.9 : Type {21,56}_12 Order 672 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-3 * R * S^4, S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R ] R74.10 : Type {24,42}_56 Order 672 mV = 21 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-3 * R^-1 * S^4 * R * S^-7 ] R74.11 : Type {52,78}_12 Order 624 mV = 39 mF = 26 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^4 * R^-20 * S^2 ] R74.12 : Type {76,152}_8 Order 608 mV = 152 mF = 38 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^3 * R^-5 * S * R^-1 * S * R^-26 * S ] R74.13 : Type {149,298}_2 Order 596 mV = 298 mF = 149 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^64 * R^-1 * S^2 * T * S^-1 * R^2 * T * S * R^-9 * T * R * S^-1 * T * R^-65 * S ] R74.14 : Type {150,150}_2 Order 600 mV = 150 mF = 150 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^66 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-68 ] R74.15 : Type {296,296}_2 Order 592 mV = 296 mF = 296 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^130 * S^-2 * R^2 * T * S * R^-9 * T * R^4 ] R75.1 : Type {4,78}_78 Order 1248 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^78 ] R75.2 : Type {4,152}_152 Order 1216 mV = 76 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^152 ] R75.3 : Type {4,152}_152 Order 1216 mV = 76 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^38 * R * S^-1 * R * S^37 ] R75.4 : Type {4,300}_150 Order 1200 mV = 300 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^75 * R^2 * S^75 ] R75.5 : Type {6,40}_30 Order 960 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^6 ] R75.6 : Type {6,40}_60 Order 960 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6 ] R75.7 : Type {8,15}_30 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-15 ] R75.8 : Type {8,52}_104 Order 832 mV = 26 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^52 ] R75.9 : Type {8,52}_104 Order 832 mV = 13 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^52 ] R75.10 : Type {8,200}_100 Order 800 mV = 200 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^25 * R * S^-2 * R * S^23 ] R75.11 : Type {8,200}_50 Order 800 mV = 200 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^25 * R^2 * S^25 ] R75.12 : Type {12,32}_96 Order 768 mV = 16 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^32 ] R75.13 : Type {12,32}_96 Order 768 mV = 16 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^8 * R * S^-1 * R * S^7 ] R75.14 : Type {14,175}_50 Order 700 mV = 175 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-13 * R * S^2 * R^-1 * S^-10 ] R75.15 : Type {21,84}_8 Order 672 mV = 28 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^21 ] R75.16 : Type {22,165}_30 Order 660 mV = 165 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^17 * S^-1 * R * S^-1 * R^2, S^-8 * R * S^2 * R^-1 * S^-5 ] R75.17 : Type {24,56}_42 Order 672 mV = 28 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^-7 * R^-6 * S^-7 ] R75.18 : Type {24,56}_84 Order 672 mV = 28 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^6 * R * S^-1 * R^-4 * S^-1 * R * S^6 ] R75.19 : Type {28,42}_6 Order 672 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^9 * S^-2 * R * S^-2 ] R75.20 : Type {32,160}_20 Order 640 mV = 160 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-6 * S^7 ] R75.21 : Type {32,160}_10 Order 640 mV = 160 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-3 * S * R^-1 * S * R^-23 * S ] R75.22 : Type {40,80}_16 Order 640 mV = 40 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^-1 * R * S^-1 * R^10 * S^-1 * R^3 * S^-1 * R^2 ] R75.23 : Type {40,80}_16 Order 640 mV = 40 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^3 * R^-1 * S * R^-9 * S^6 ] R75.24 : Type {52,156}_6 Order 624 mV = 156 mF = 26 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^13 * R^-1 * S^2 * R^-6 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ] R75.25 : Type {62,155}_10 Order 620 mV = 155 mF = 31 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^3 * R^-1 * S * R^-1 * S * R^-22 * S^2 ] R75.26 : Type {78,78}_4 Order 624 mV = 26 mF = 26 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^61 * R^-1 * S * R^-11 * S^2 ] R75.27 : Type {151,302}_2 Order 604 mV = 302 mF = 151 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^134 * T * S^-1 * R * S^-1 * T * R^-10 * T * R^3 * T ] R75.28 : Type {152,152}_4 Order 608 mV = 152 mF = 152 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^38 * R^-7 * S * R^-1 * S * R^-27 ] R75.29 : Type {152,152}_2 Order 608 mV = 152 mF = 152 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-66 * R ] R75.30 : Type {300,300}_2 Order 600 mV = 300 mF = 300 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^66 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-67 * R ] R76.1 : Type {3,12}_30 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R76.2 : Type {3,15}_20 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-15 ] R76.3 : Type {3,16}_10 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S ] R76.4 : Type {4,10}_20 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^10 ] R76.5 : Type {4,10}_20 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ] R76.6 : Type {4,154}_308 Order 1232 mV = 77 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^154 ] R76.7 : Type {4,304}_304 Order 1216 mV = 304 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^76 * R^2 * S^76 ] R76.8 : Type {5,20}_6 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-3 * R * S^4 ] R76.9 : Type {6,6}_30 Order 1800 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] R76.10 : Type {6,6}_30 Order 1800 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R * S^-2 ] R76.11 : Type {6,12}_20 Order 1200 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^12, R * S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^2 ] R76.12 : Type {6,12}_20 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^-1 * S^2 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 ] R76.13 : Type {6,28}_28 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ] R76.14 : Type {6,78}_78 Order 936 mV = 39 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^13 * R * S^-3 * R * S^10 ] R76.15 : Type {6,78}_78 Order 936 mV = 26 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^78 ] R76.16 : Type {6,78}_78 Order 936 mV = 39 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^78 ] R76.17 : Type {6,228}_76 Order 912 mV = 228 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^38 * R * S^-1 * R * S^37 ] R76.18 : Type {9,18}_10 Order 900 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 ] R76.19 : Type {9,24}_36 Order 864 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R * S^-3 * R * S^4 ] R76.20 : Type {10,10}_10 Order 1000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S^10 ] R76.21 : Type {10,10}_10 Order 1000 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 ] R76.22 : Type {10,10}_10 Order 1000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^10, S^10 ] R76.23 : Type {10,40}_40 Order 800 mV = 8 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^40 ] R76.24 : Type {10,40}_40 Order 800 mV = 20 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^40 ] R76.25 : Type {10,40}_40 Order 800 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^10, S * R * S^-3 * R * S^4 ] R76.26 : Type {10,190}_38 Order 760 mV = 190 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^19 * R * S^-3 * R * S^16 ] R76.27 : Type {15,60}_6 Order 720 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-15 ] R76.28 : Type {18,171}_38 Order 684 mV = 171 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-2 * S * R^-13 * S * R^-1, S^-10 * R * S^5 * R^-1 * S^-4 ] R76.29 : Type {20,30}_4 Order 720 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S^-2 * R^4 * S^-4 ] R76.30 : Type {24,84}_56 Order 672 mV = 42 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^-7 * R^4 * S^-7 ] R76.31 : Type {54,54}_6 Order 648 mV = 18 mF = 27 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^14 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ] R76.32 : Type {78,156}_4 Order 624 mV = 156 mF = 39 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^40 * R^-1 * S * R^-6 * S * R^-1 * S * R^-26 * S ] R76.33 : Type {153,306}_2 Order 612 mV = 306 mF = 153 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^66 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-10 * T * R * S^-1 * T * R^-67 * S ] R76.34 : Type {154,154}_2 Order 616 mV = 154 mF = 154 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * S * R^-1 * T * R^10 * T * S * R^-1 * S * T * S^-2 * R * S^-67 ] R76.35 : Type {304,304}_2 Order 608 mV = 304 mF = 304 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * R^-3 * T * R^10 * T * S * R^-1 * S * T * S^-67 ] R77.1 : Type {4,42}_84 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^42 ] R77.2 : Type {4,80}_80 Order 1280 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^80 ] R77.3 : Type {4,80}_80 Order 1280 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^20 * R^2 * S^5 * R^-1 * S^-1 * R * S^14 ] R77.4 : Type {4,156}_156 Order 1248 mV = 78 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^156 ] R77.5 : Type {4,308}_154 Order 1232 mV = 308 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^77 * R^2 * S^77 ] R77.6 : Type {6,60}_20 Order 960 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^10 * R * S^-1 * R^2 * S^-1 * R * S^8 ] R77.7 : Type {6,60}_40 Order 960 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R77.8 : Type {6,231}_154 Order 924 mV = 231 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-39 * R * S * R^-1 * S^-37 ] R77.9 : Type {8,9}_36 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-9, R^2 * S^-1 * R * S^-1 * R^-4 * S * R^-2 * S^-1 * R ] R77.10 : Type {8,28}_56 Order 896 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^28 ] R77.11 : Type {8,28}_28 Order 896 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^28 ] R77.12 : Type {8,104}_52 Order 832 mV = 52 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^26 * R^3 * S^-5 * R^-1 * S^21 ] R77.13 : Type {8,104}_52 Order 832 mV = 52 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^26 * R * S^-1 * R * S^25 ] R77.14 : Type {10,12}_20 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] R77.15 : Type {10,12}_20 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] R77.16 : Type {10,12}_8 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-4 * R^2 * S * R^-1 * S^-1 * R, S * R * S^-1 * R^4 * S * R^-3 * S ] R77.17 : Type {10,12}_4 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2 ] R77.18 : Type {12,48}_16 Order 768 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R77.19 : Type {12,48}_16 Order 768 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R^2 * S^-5 ] R77.20 : Type {12,48}_16 Order 768 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^8 * R^4 * S^8 ] R77.21 : Type {12,48}_16 Order 768 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R77.22 : Type {16,24}_48 Order 768 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^24 ] R77.23 : Type {16,24}_48 Order 768 mV = 6 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^24 ] R77.24 : Type {16,24}_48 Order 768 mV = 3 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^24 ] R77.25 : Type {16,24}_48 Order 768 mV = 3 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^3 * R^-9 * S^3, S^24 ] R77.26 : Type {16,24}_48 Order 768 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^6 * R * S^-1 * R^2 * S^-1 * R * S^4 ] R77.27 : Type {16,24}_48 Order 768 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-3 * S^6 * R^-4 * S^2 * R^-1 * S^-4 ] R77.28 : Type {16,24}_48 Order 768 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-3 * S^6 * R^-5 * S^-6 ] R77.29 : Type {16,24}_48 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R * S^6, R^16 ] R77.30 : Type {16,176}_22 Order 704 mV = 176 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^11 * R * S^-2 * R * S^9 ] R77.31 : Type {16,176}_44 Order 704 mV = 176 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-13 * S, S^11 * R * S^-6 * R * S^5 ] R77.32 : Type {18,45}_20 Order 720 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-2 * S^4, S * R^5 * S^2 * R^-1 * S ] R77.33 : Type {20,36}_90 Order 720 mV = 18 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^7 * S^-2 * T * S^2 * R^-1 * T * R * S^-3 * R^-1 * S^2 ] R77.34 : Type {24,168}_14 Order 672 mV = 168 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^19 * S^-1 * R * S^-1 * R^2 ] R77.35 : Type {24,168}_28 Order 672 mV = 168 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R * S^-1 * R^-1 * S^7 ] R77.36 : Type {28,84}_12 Order 672 mV = 42 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-21 * S ] R77.37 : Type {30,165}_22 Order 660 mV = 165 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-2 * S^6 * R^-1 ] R77.38 : Type {42,42}_4 Order 672 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^37 * S^-1 * R^2 * S^-1 * R ] R77.39 : Type {46,161}_14 Order 644 mV = 161 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^13 * S^-1 * R * S^-3 ] R77.40 : Type {80,80}_4 Order 640 mV = 40 mF = 40 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^41 * R^-8 * S * R^-1 * S * R^-26 * S ] R77.41 : Type {80,80}_8 Order 640 mV = 40 mF = 40 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^4 * R^-6 * S * R^-1 * S * R^-27 ] R77.42 : Type {80,80}_4 Order 640 mV = 40 mF = 40 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-1 * S^2 * R^-15 * S^2 * R^-13 * S * R^-2 * S * R^-1 * S^2 ] R77.43 : Type {155,310}_2 Order 620 mV = 310 mF = 155 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^67 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 ] R77.44 : Type {156,156}_2 Order 624 mV = 156 mF = 156 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^70 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-67 * R ] R77.45 : Type {308,308}_2 Order 616 mV = 308 mF = 308 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^69 * T * S * R^-1 * T * R^10 * T * S * R^-1 * S * T * S^-2 * R * S^-66 * R ] R78.1 : Type {3,28}_6 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^28 ] R78.2 : Type {4,81}_162 Order 1296 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-81 ] R78.3 : Type {4,158}_316 Order 1264 mV = 79 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^158 ] R78.4 : Type {4,312}_312 Order 1248 mV = 312 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^78 * R^2 * S^78 ] R78.5 : Type {6,14}_6 Order 1176 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, S^14 ] R78.6 : Type {6,14}_6 Order 1176 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^14 ] R78.7 : Type {6,80}_240 Order 960 mV = 40 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^80 ] R78.8 : Type {8,54}_216 Order 864 mV = 27 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^54 ] R78.9 : Type {8,54}_108 Order 864 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-14 * R^4 * S^-13 ] R78.10 : Type {10,195}_78 Order 780 mV = 195 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-20 * R * S^2 * R^-1 * S^-17 ] R78.11 : Type {12,64}_192 Order 768 mV = 32 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^16 * R^6 * S^16 ] R78.12 : Type {14,28}_28 Order 784 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^28 ] R78.13 : Type {14,28}_28 Order 784 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^14 ] R78.14 : Type {14,28}_28 Order 784 mV = 4 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^28 ] R78.15 : Type {14,182}_26 Order 728 mV = 182 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^13 * R * S^-5 * R * S^8 ] R78.16 : Type {20,45}_18 Order 720 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-2 * R * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-1 * R^-1 * S^4 * R^-1 * S^-1 * R * S^3 ] R78.17 : Type {28,168}_24 Order 672 mV = 168 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^2 * S^-6 ] R78.18 : Type {42,56}_12 Order 672 mV = 14 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-3 * S^3 ] R78.19 : Type {42,56}_24 Order 672 mV = 28 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, R^9 * S^-1 * R^3 * S^-1 ] R78.20 : Type {81,81}_4 Order 648 mV = 27 mF = 27 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^64 * R^-1 * S * R^-11 * S^2 ] R78.21 : Type {106,159}_6 Order 636 mV = 159 mF = 53 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^15 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-24 ] R78.22 : Type {157,314}_2 Order 628 mV = 314 mF = 157 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^68 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 * S ] R78.23 : Type {158,158}_2 Order 632 mV = 158 mF = 158 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-69 ] R78.24 : Type {312,312}_2 Order 624 mV = 312 mF = 312 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^70 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-68 ] R79.1 : Type {4,30}_6 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R79.2 : Type {4,160}_160 Order 1280 mV = 80 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^160 ] R79.3 : Type {4,160}_160 Order 1280 mV = 80 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^40 * R * S^-1 * R * S^39 ] R79.4 : Type {4,316}_158 Order 1264 mV = 316 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^79 * R^2 * S^79 ] R79.5 : Type {6,81}_162 Order 972 mV = 27 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-81 ] R79.6 : Type {6,237}_158 Order 948 mV = 237 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-40 * R^2 * S^-39 ] R79.7 : Type {7,8}_16 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R79.8 : Type {8,20}_6 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^4 * R^3 * S^4 * R^-1 ] R79.9 : Type {8,20}_12 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2 ] R79.10 : Type {9,36}_24 Order 864 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R79.11 : Type {12,18}_72 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^4 * R^6 * S^5 ] R79.12 : Type {12,18}_18 Order 864 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ] R79.13 : Type {12,18}_18 Order 864 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^18 ] R79.14 : Type {12,96}_32 Order 768 mV = 48 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^8 * R * S^-1 * R * S^7 ] R79.15 : Type {12,96}_32 Order 768 mV = 48 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^16 * R * S^-3 * R * S^13 ] R79.16 : Type {30,30}_6 Order 720 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S^4 ] R79.17 : Type {42,84}_8 Order 672 mV = 28 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S^-5 * R^15 * S^-1 ] R79.18 : Type {159,318}_2 Order 636 mV = 318 mF = 159 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^69 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-71 ] R79.19 : Type {160,160}_4 Order 640 mV = 160 mF = 160 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^42 * R^-8 * S * R^-1 * S * R^-27 ] R79.20 : Type {160,160}_2 Order 640 mV = 160 mF = 160 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^140 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-1 * R^2 * T ] R79.21 : Type {316,316}_2 Order 632 mV = 316 mF = 316 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * S^-2 * R * S^-68 * R ] R80.1 : Type {4,162}_324 Order 1296 mV = 81 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^162 ] R80.2 : Type {4,320}_320 Order 1280 mV = 320 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^80 * R^2 * S^80 ] R80.3 : Type {6,82}_246 Order 984 mV = 41 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^82 ] R80.4 : Type {6,240}_80 Order 960 mV = 240 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^40 * R^2 * S^40 ] R80.5 : Type {8,108}_216 Order 864 mV = 54 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^27 * R^3 * S^-5 * R^-1 * S^22 ] R80.6 : Type {10,42}_210 Order 840 mV = 21 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^42 ] R80.7 : Type {12,34}_204 Order 816 mV = 17 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^34 ] R80.8 : Type {12,192}_64 Order 768 mV = 192 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^16 * R^2 * S^16 ] R80.9 : Type {18,22}_198 Order 792 mV = 11 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^22 ] R80.10 : Type {18,180}_20 Order 720 mV = 180 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^13 * S^-2 * R * S^-1, S^10 * R^2 * S^10 ] R80.11 : Type {20,90}_36 Order 720 mV = 45 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^15 * S^-2 * R * S^-1, S^9 * R * S^-3 * R * S^6 ] R80.12 : Type {22,176}_16 Order 704 mV = 176 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^22, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ] R80.13 : Type {34,170}_10 Order 680 mV = 170 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^25 * S^-1 * R * S^-1 * R^6 ] R80.14 : Type {42,168}_8 Order 672 mV = 168 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^30 * S^-1 * R * S^-1 * R^9 ] R80.15 : Type {56,84}_24 Order 672 mV = 42 mF = 28 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R * S^-1 * R^6 * S^-5 * R ] R80.16 : Type {66,165}_10 Order 660 mV = 165 mF = 33 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^21 * S^-1 * R * S^-1 * R^4 * S^-2 ] R80.17 : Type {82,164}_4 Order 656 mV = 164 mF = 41 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^44 * R^-8 * S * R^-1 * S * R^-27 ] R80.18 : Type {161,322}_2 Order 644 mV = 322 mF = 161 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^72 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-2 * T * R^-69 * S ] R80.19 : Type {162,162}_2 Order 648 mV = 162 mF = 162 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^3 * S^-73 ] R80.20 : Type {320,320}_2 Order 640 mV = 320 mF = 320 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^141 * R^-1 * S^2 * T * S^-1 * R * S^-1 * T * R^-9 * S * T * S^-1 * R^2 * T ] R81.1 : Type {3,16}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^16 ] R81.2 : Type {3,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1, (S * R^-1 * S)^6, S * R * S^-2 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 * R * S ] R81.3 : Type {3,16}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^6 * R^2 * S^6 * R^-1 * S^-1 ] R81.4 : Type {3,16}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^16 ] R81.5 : Type {3,22}_10 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, S^2 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] R81.6 : Type {4,9}_18 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-9, (R * S^-2)^4, S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R81.7 : Type {4,12}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.8 : Type {4,12}_40 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.9 : Type {4,20}_4 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-9 * R * S^-1 * R^2 * S^-1 * R * S^-9 ] R81.10 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^-4 * R, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * S^3 ] R81.11 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * S^3 ] R81.12 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^24 ] R81.13 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R81.14 : Type {4,24}_6 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R81.15 : Type {4,24}_6 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * R * S^-5 * R * S^6 ] R81.16 : Type {4,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S ] R81.17 : Type {4,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S ] R81.18 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^24 ] R81.19 : Type {4,24}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 ] R81.20 : Type {4,24}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^24 ] R81.21 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S * R * S^-5 * R * S^6 ] R81.22 : Type {4,24}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^2 * R * S^-1 * R^-1 * S^7 * R^-1 * S^-1 * R * S ] R81.23 : Type {4,24}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R81.24 : Type {4,24}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-2 ] R81.25 : Type {4,24}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^3 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^2, S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^6 * R^-1 * S^-2 ] R81.26 : Type {4,24}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^24 ] R81.27 : Type {4,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^24 ] R81.28 : Type {4,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^24 ] R81.29 : Type {4,24}_48 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 * R * S^2 ] R81.30 : Type {4,44}_88 Order 1408 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^44 ] R81.31 : Type {4,84}_84 Order 1344 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^84 ] R81.32 : Type {4,84}_42 Order 1344 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^21 * R * S^-2 * R * S^19 ] R81.33 : Type {4,84}_84 Order 1344 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^84 ] R81.34 : Type {4,164}_164 Order 1312 mV = 82 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^164 ] R81.35 : Type {4,324}_162 Order 1296 mV = 324 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^81 * R^2 * S^81 ] R81.36 : Type {5,6}_40 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S * R^-1, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R81.37 : Type {5,10}_20 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.38 : Type {5,20}_8 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R81.39 : Type {5,30}_10 Order 1200 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-2 * R * S^3, S^-1 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R^2 * S^-1 * R ] R81.40 : Type {5,30}_4 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * R * S^-3 ] R81.41 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3 ] R81.42 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R81.43 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ] R81.44 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 ] R81.45 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^-2 ] R81.46 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] R81.47 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R81.48 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, (S^-1 * R^2 * S^-1)^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R81.49 : Type {6,8}_6 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R81.50 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] R81.51 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^2 * R^2 * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S * R^-1 ] R81.52 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4 ] R81.53 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, (R * S^-1 * R)^4 ] R81.54 : Type {6,8}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R81.55 : Type {6,8}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] R81.56 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] R81.57 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R81.58 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S^-1 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] R81.59 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.60 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.61 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (S * R^-1 * S)^3, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2 ] R81.62 : Type {6,11}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-11 ] R81.63 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^16 ] R81.64 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 ] R81.65 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^16 ] R81.66 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^16 ] R81.67 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 ] R81.68 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^16 ] R81.69 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^16 ] R81.70 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^16 ] R81.71 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^2 * R * S^-2 * R^-3 * S^2 * R^-1 * S^-1 * R * S ] R81.72 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R81.73 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R81.74 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^2 * R^-3, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 ] R81.75 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R81.76 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.77 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-4 * R^3 * S^3 * R^-1 * S^-1 ] R81.78 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-4 * R^3 * S^3 * R^-1 * S^-1 ] R81.79 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^-1 * S^2 * R^-3 * S^-1 * R * S^2 * R^-1 * S^-1 ] R81.80 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.81 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.82 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^4 * S^2 * R^-3, R^-1 * S * R * S^-2 * R^-3 * S * R^-1 * S^-4 ] R81.83 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.84 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R81.85 : Type {8,16}_16 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R81.86 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-3 * R * S^4 ] R81.87 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4 ] R81.88 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4 ] R81.89 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1 ] R81.90 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.91 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-4 * R^3 * S^3 * R^-1 * S^-1 ] R81.92 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S^-4 * R^3 * S^3 * R^-1 * S^-1 ] R81.93 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^4 * R^-1 ] R81.94 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R81.95 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S^-2 * R^-1 * S^2 * R^-3 * S^-1 * R * S^2 * R^-1 * S^-1 ] R81.96 : Type {8,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R81.97 : Type {8,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S ] R81.98 : Type {8,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^3 * R^3 * S^3 * R^-1, S * R * S^-3 * R * S^4, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R81.99 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ] R81.100 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ] R81.101 : Type {8,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S^-1 * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S^-1, S * R * S^-3 * R^2 * S^-3 * R * S ] R81.102 : Type {8,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S^-5, S * R * S^-3 * R^2 * S^-3 * R * S ] R81.103 : Type {8,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R81.104 : Type {8,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, (R * S^-1)^8 ] R81.105 : Type {8,16}_4 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, (R * S^-1)^8 ] R81.106 : Type {8,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^2 * S^-2 * R^2 * S^5 ] R81.107 : Type {8,16}_4 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^2 * R^2 * S^-1 * R^-3 * S * R^-1 * S^4 ] R81.108 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^3 * S * R^-2 * S, S * R^2 * S^-2 * R^2 * S^5 ] R81.109 : Type {8,16}_8 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R81.110 : Type {8,16}_4 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2 ] R81.111 : Type {8,16}_4 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R81.112 : Type {8,16}_8 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-3)^2 ] R81.113 : Type {8,16}_4 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R81.114 : Type {8,16}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-3 ] R81.115 : Type {8,24}_10 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^4 ] R81.116 : Type {8,24}_10 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-2 * R^3 * S^3 * R^-1 * S^-1 ] R81.117 : Type {8,56}_56 Order 896 mV = 28 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^56 ] R81.118 : Type {8,56}_56 Order 896 mV = 14 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^56 ] R81.119 : Type {8,56}_28 Order 896 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R^4 * S^14 ] R81.120 : Type {8,56}_56 Order 896 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^14 * R^-1 * S^-2 * R * S^3 * R^-1 * S^-2 * R * S^7 ] R81.121 : Type {8,56}_56 Order 896 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R^3 * S^-2 * R * S^12 ] R81.122 : Type {8,56}_56 Order 896 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ] R81.123 : Type {8,216}_108 Order 864 mV = 216 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^27 * R^2 * S^27 ] R81.124 : Type {8,216}_54 Order 864 mV = 216 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^27 * R * S^-2 * R * S^25 ] R81.125 : Type {9,9}_4 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-9, (R^-2 * S)^3, (S * R^-1 * S)^3 ] R81.126 : Type {10,15}_12 Order 960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R ] R81.127 : Type {12,12}_12 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^4 * S^2 * R^-2, R^2 * S^-2 * R^2 * S^4 ] R81.128 : Type {12,12}_6 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, S^-1 * R^6 * S^-5 ] R81.129 : Type {14,189}_54 Order 756 mV = 189 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-14 * R * S^3 * R^-1 * S^-10 ] R81.130 : Type {16,48}_6 Order 768 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-2 * S^2 * R^-5 * S * R^-2 * S^2 ] R81.131 : Type {16,48}_12 Order 768 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-3 ] R81.132 : Type {16,48}_12 Order 768 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R * S^3 ] R81.133 : Type {16,48}_6 Order 768 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^5 * S * R^-3, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-3 ] R81.134 : Type {16,48}_24 Order 768 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^3 * R^-9 * S^3, S^12 * R * S^-3 * R * S^9 ] R81.135 : Type {16,48}_24 Order 768 mV = 12 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^12 * R * S^-3 * R * S^9 ] R81.136 : Type {16,48}_24 Order 768 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^12 * R^-6 * S^6 * R^-1 * S^-1 * R * S^5 ] R81.137 : Type {16,48}_24 Order 768 mV = 24 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^12 * R * S^-1 * R * S^11 ] R81.138 : Type {16,48}_12 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^5 * S * R^-3, S^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ] R81.139 : Type {16,48}_24 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^2 * R * S^-4 * R^2 * S^-4 * R * S^2 ] R81.140 : Type {16,48}_24 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2 ] R81.141 : Type {16,48}_12 Order 768 mV = 12 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2, R^-1 * S^2 * R^-2 * S * R^-5 * S * R^-2 * S^2 ] R81.142 : Type {16,48}_24 Order 768 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^5 * R * S^-1 * R * S^6 ] R81.143 : Type {16,48}_24 Order 768 mV = 24 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S^2 * R^-2 * S * R^-5 * S * R^-2 * S^2 ] R81.144 : Type {20,20}_20 Order 800 mV = 2 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^13 * S^-3 * R * S^-1, S^20 ] R81.145 : Type {20,20}_20 Order 800 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^20 ] R81.146 : Type {20,180}_18 Order 720 mV = 180 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-1 * R^15 * S^-2 * R * S^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R81.147 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R81.148 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^7 * S^-2 * R * S^-2, S * R^6 * S * R^-1 * S^2 * R^-1 ] R81.149 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R * S^-1 * R^4 * S^-1 * R^9 * S^-2 * R^3 * S^-1 ] R81.150 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^7 * S^-2 * R * S^-2 ] R81.151 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^6 * S^-5 ] R81.152 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^2 * S^-2 * R * S^-1 * R^3 * S^-1 * R^8 * S^-6 ] R81.153 : Type {24,24}_8 Order 768 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-2 * R^2 * S^3 * R^-1, R^8 * S^-1 * R^2 * S^-1 ] R81.154 : Type {24,24}_8 Order 768 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^-2 * S * R^-2 * S^2 * R^-2 * S * R^-14 ] R81.155 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2, S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R ] R81.156 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^6 * S^-5 ] R81.157 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R ] R81.158 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S^2 * R^-1 * S^-2 ] R81.159 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^4, R^2 * S^-1 * R^4 * S^-3 * R * S^-1 ] R81.160 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^7 * S^-1 * R * S^-1 * R * S^-1, S * R^6 * S^5 ] R81.161 : Type {24,24}_4 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S * R^-1, R^3 * S^-9 * R^9 * S^-3 ] R81.162 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2, R^7 * S^-1 * R * S^-1 * R * S^-1 ] R81.163 : Type {24,24}_8 Order 768 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-2 * R^5 * S^-1 * R^12 * S^-2 * R * S^-1 ] R81.164 : Type {24,24}_8 Order 768 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S^-1 * R^6 * S^-2 * R^2 * S^-1 ] R81.165 : Type {24,24}_8 Order 768 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 ] R81.166 : Type {24,24}_4 Order 768 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-3 * S * R^-3 * S * R^-16 ] R81.167 : Type {24,24}_4 Order 768 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^6 * S^2 * R^-2 * S, R * S^-1 * R^5 * S^-2 * R * S^-1 * R ] R81.168 : Type {24,24}_8 Order 768 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-1 * R * S^-2 * R ] R81.169 : Type {24,24}_8 Order 768 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R * S^-1 * R^5 * S^-1 * R * S^-1 * R * S^-1 ] R81.170 : Type {35,70}_10 Order 700 mV = 35 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, R * S^-5 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-3 * R^2 ] R81.171 : Type {38,171}_18 Order 684 mV = 171 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R^-2 * S * R^-8 * S^7 ] R81.172 : Type {44,44}_4 Order 704 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, R^-2 * S * R^-19 * S * R^-1 * S^4 * R^-9 * S * R^-2 * S * R^-1 * S^2 ] R81.173 : Type {56,168}_12 Order 672 mV = 168 mF = 28 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, S^-4 * R^17 * S^-1 * R * S^-1 * R^2 * S^-2 ] R81.174 : Type {56,168}_6 Order 672 mV = 168 mF = 28 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^41 * S^-1 * R * S^-2 * R * S^-1 * R^9 ] R81.175 : Type {84,84}_4 Order 672 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-2 * R^35 * S^-1 * R^2 * S^-2 ] R81.176 : Type {84,84}_4 Order 672 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^67 * R^-1 * S * R^-11 * S^2 ] R81.177 : Type {84,84}_4 Order 672 mV = 42 mF = 42 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^72 * S^-1 * R * S^-1 * R^9 ] R81.178 : Type {110,165}_6 Order 660 mV = 165 mF = 55 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^16 * R^-8 * S * R^-1 * S^2 * R^-1 * S * R^-23 * S ] R81.179 : Type {163,326}_2 Order 652 mV = 326 mF = 163 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^72 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-70 ] R81.180 : Type {164,164}_2 Order 656 mV = 164 mF = 164 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * T * R^-2 * S * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^4 * S^-70 * R ] R81.181 : Type {324,324}_2 Order 648 mV = 324 mF = 324 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^71 * T * S^2 * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^3 * S^-72 * R ] R82.1 : Type {3,8}_12 Order 7776 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * R * S ] R82.2 : Type {3,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-1 * R * S^-5 * R * S^-2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R82.3 : Type {3,12}_18 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R82.4 : Type {3,18}_18 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S * R^-1 * S^3)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] R82.5 : Type {3,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^18 ] R82.6 : Type {3,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 ] R82.7 : Type {3,18}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^3)^3, S * R * S^-5 * R * S^-1 * R * S^6 * R^-1 * S, S^18, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-2 ] R82.8 : Type {3,24}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 ] R82.9 : Type {3,24}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S * R * S^-5 * R * S^-1 * R * S^-5 * R * S^2 ] R82.10 : Type {4,6}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-1 * R ] R82.11 : Type {4,6}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 ] R82.12 : Type {4,8}_8 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^3 * R^-1 * S^-1 * R * S^-2 ] R82.13 : Type {4,12}_18 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, (S^-1 * R)^9 ] R82.14 : Type {4,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^12, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R82.15 : Type {4,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-4 ] R82.16 : Type {4,12}_6 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R * S^-1)^2, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2 ] R82.17 : Type {4,166}_332 Order 1328 mV = 83 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^166 ] R82.18 : Type {4,328}_328 Order 1312 mV = 328 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^82 * R^2 * S^82 ] R82.19 : Type {5,10}_6 Order 1620 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R82.20 : Type {6,6}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-1 * R * S^2 ] R82.21 : Type {6,6}_6 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (S^-1 * R^2 * S^-1)^3 ] R82.22 : Type {6,6}_6 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] R82.23 : Type {6,6}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-2 * R^2 ] R82.24 : Type {6,6}_18 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] R82.25 : Type {6,6}_18 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R ] R82.26 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R)^4 ] R82.27 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-3 ] R82.28 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^12 ] R82.29 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] R82.30 : Type {6,12}_12 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] R82.31 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, R^2 * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 ] R82.32 : Type {6,12}_12 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-2 * R^3 * S^-3 * R * S^-1, S^12 ] R82.33 : Type {6,12}_4 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R ] R82.34 : Type {6,12}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12 ] R82.35 : Type {6,12}_36 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R82.36 : Type {6,12}_12 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^12 ] R82.37 : Type {6,12}_12 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^12 ] R82.38 : Type {6,12}_12 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^12 ] R82.39 : Type {6,12}_36 Order 1296 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^12, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] R82.40 : Type {6,12}_36 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^12 ] R82.41 : Type {6,12}_36 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^12 ] R82.42 : Type {6,30}_30 Order 1080 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^-1 * S^3 * R^-2 * S^3 * R^-1 * S^-2 ] R82.43 : Type {6,30}_30 Order 1080 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^30 ] R82.44 : Type {6,30}_30 Order 1080 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^30 ] R82.45 : Type {6,30}_30 Order 1080 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^30 ] R82.46 : Type {6,84}_84 Order 1008 mV = 42 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^14 * R * S^-1 * R * S^13 ] R82.47 : Type {6,84}_84 Order 1008 mV = 42 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^84 ] R82.48 : Type {6,84}_84 Order 1008 mV = 28 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^84 ] R82.49 : Type {6,246}_82 Order 984 mV = 246 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^41 * R * S^-1 * R * S^40 ] R82.50 : Type {8,8}_6 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, (R^3 * S^-1)^3 ] R82.51 : Type {9,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] R82.52 : Type {9,18}_6 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S * R * S^-5 * R * S^6 ] R82.53 : Type {9,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S ] R82.54 : Type {9,18}_6 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4 ] R82.55 : Type {9,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R82.56 : Type {9,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^3 * S^-1 * R^3 * S^-5 ] R82.57 : Type {9,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ] R82.58 : Type {9,18}_6 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-5 * R * S^6 ] R82.59 : Type {9,18}_6 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (S * R^-1 * S)^3, S * R * S^-1 * R^3 * S^2 * R^-2, R^3 * S^-1 * R^3 * S^-5 ] R82.60 : Type {9,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, S * R * S^-5 * R * S^6 ] R82.61 : Type {9,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S * R * S^-1 * R^3 * S^2 * R^-2, R^3 * S^-1 * R^3 * S^-5, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] R82.62 : Type {9,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S^-2 * R^-3 * S^-4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R82.63 : Type {9,72}_12 Order 864 mV = 18 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-3 * R * S^4 ] R82.64 : Type {10,205}_82 Order 820 mV = 205 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-21 * R * S^3 * R^-1 * S^-17 ] R82.65 : Type {12,24}_8 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^4 * S^-1 * R * S^2 ] R82.66 : Type {12,24}_24 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^-2 * R^-1 * S^4 * R^-5 * S^-6 ] R82.67 : Type {12,24}_24 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^2 * R^4 * S^2 * R^-2 ] R82.68 : Type {12,24}_8 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R82.69 : Type {12,24}_24 Order 864 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, R * S^-5 * R^-5 * S^7 ] R82.70 : Type {12,24}_24 Order 864 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R82.71 : Type {12,24}_24 Order 864 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^2 * R * S^-1 * R^-1 * S^2 * R^-4 * S^7 ] R82.72 : Type {12,24}_24 Order 864 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^4 * S * R^-2 * S^-2 ] R82.73 : Type {18,63}_42 Order 756 mV = 21 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^-11 * R * S^6 * R^-1 * S^-4 ] R82.74 : Type {21,42}_6 Order 756 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^5 * R^-10 * S^5 * R^-1 ] R82.75 : Type {30,60}_12 Order 720 mV = 30 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-7 * S^-1 * R^4, R^2 * S^-1 * R^5 * S^-1 * R^11 * S^-1 * R^5 * S^-1 * R^3 ] R82.76 : Type {30,60}_12 Order 720 mV = 20 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R * S^-5 * R * S^2, R^21 * S^-3 * R * S^-3 * R^2 ] R82.77 : Type {30,60}_12 Order 720 mV = 30 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^5 * R * S^-5 * R * S^2 ] R82.78 : Type {57,114}_6 Order 684 mV = 57 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^-1 * R^18 * S^-6 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-7 * R ] R82.79 : Type {84,168}_8 Order 672 mV = 168 mF = 42 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^-3 * R^27 * S^-1 * R * S^-1 * R^8 * S^-1 ] R82.80 : Type {165,330}_2 Order 660 mV = 330 mF = 165 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^70 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-74 ] R82.81 : Type {166,166}_2 Order 664 mV = 166 mF = 166 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 * S^-70 ] R82.82 : Type {328,328}_2 Order 656 mV = 328 mF = 328 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^73 * T * R^-2 * S * T * S^-1 * R^9 * T * S * R^-1 * S * T * R^4 * S^-71 ] R83.1 : Type {4,168}_168 Order 1344 mV = 84 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^168 ] R83.2 : Type {4,168}_168 Order 1344 mV = 84 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^42 * R * S^-1 * R * S^41 ] R83.3 : Type {4,332}_166 Order 1328 mV = 332 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^83 * R * S^-6 * R * S^77 ] R83.4 : Type {6,44}_66 Order 1056 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^11 * R^2 * S^2 * R^-1 * S^-1 * R * S^8 ] R83.5 : Type {6,249}_166 Order 996 mV = 249 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-42 * R * S * R^-1 * S^-40 ] R83.6 : Type {8,30}_30 Order 960 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^30 ] R83.7 : Type {8,30}_60 Order 960 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^30 ] R83.8 : Type {8,112}_112 Order 896 mV = 56 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^28 * R^4 * S^28 ] R83.9 : Type {8,112}_112 Order 896 mV = 56 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^28 * R * S^-1 * R * S^27 ] R83.10 : Type {12,68}_102 Order 816 mV = 34 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^17 * R^6 * S^17 ] R83.11 : Type {24,32}_96 Order 768 mV = 16 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * T * S * R^2 * S * T * S^-3 * R^-9 * S^6 * R^-1 * S^-2 ] R83.12 : Type {24,32}_96 Order 768 mV = 16 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^8 * R * S^-1 * R * S^7 ] R83.13 : Type {44,88}_8 Order 704 mV = 44 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^44 ] R83.14 : Type {44,88}_8 Order 704 mV = 44 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^6 * S^-6 * R^5 * S^-1 * R^12 * S^-1 * R^5 * S^-8 ] R83.15 : Type {167,334}_2 Order 668 mV = 334 mF = 167 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^70 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-76 ] R83.16 : Type {168,168}_4 Order 672 mV = 168 mF = 168 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^71 * S^-1 * R * S^-1 * R^8 * S^-1 ] R83.17 : Type {168,168}_2 Order 672 mV = 168 mF = 168 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-73 * R ] R83.18 : Type {332,332}_2 Order 664 mV = 332 mF = 332 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 * S^-69 * R ] R84.1 : Type {4,87}_174 Order 1392 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-87 ] R84.2 : Type {4,170}_340 Order 1360 mV = 85 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^170 ] R84.3 : Type {4,336}_336 Order 1344 mV = 336 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^84 * R * S^-6 * R * S^78 ] R84.4 : Type {6,86}_258 Order 1032 mV = 43 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^86 ] R84.5 : Type {8,58}_232 Order 928 mV = 29 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^58 ] R84.6 : Type {10,44}_220 Order 880 mV = 22 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^44 ] R84.7 : Type {10,210}_42 Order 840 mV = 210 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^21 * R^2 * S^21 ] R84.8 : Type {12,102}_68 Order 816 mV = 51 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^17 * R * S^-1 * R * S^16 ] R84.9 : Type {14,30}_210 Order 840 mV = 15 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^30 ] R84.10 : Type {16,26}_208 Order 832 mV = 13 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^26 ] R84.11 : Type {26,182}_14 Order 728 mV = 182 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^2 * R^-1 * S^3 * R^-19 * S ] R84.12 : Type {36,90}_20 Order 720 mV = 45 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^8 * S^-6 ] R84.13 : Type {44,176}_16 Order 704 mV = 176 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^14 * S^-2 ] R84.14 : Type {50,175}_14 Order 700 mV = 175 mF = 25 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-18 * S^2 ] R84.15 : Type {58,174}_6 Order 696 mV = 174 mF = 29 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^43 * S^-1 * R * S^-2 * R * S^-1 * R^9 ] R84.16 : Type {86,172}_4 Order 688 mV = 172 mF = 43 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^74 * S^-1 * R * S^-1 * R^9 ] R84.17 : Type {87,87}_4 Order 696 mV = 29 mF = 29 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R^-2 * S^70 * R^-1 * S * R^-11 * S^2 ] R84.18 : Type {169,338}_2 Order 676 mV = 338 mF = 169 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^74 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-75 * S ] R84.19 : Type {170,170}_2 Order 680 mV = 170 mF = 170 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-73 ] R84.20 : Type {336,336}_2 Order 672 mV = 336 mF = 336 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^76 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-74 ] R85.1 : Type {3,8}_42 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-3 * R * S^-2 * R * S^2 ] R85.2 : Type {3,8}_24 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-3, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * R * S ] R85.3 : Type {3,20}_30 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R^-1 * S * R^-1 * S^-4 * R * S^2, S^20 ] R85.4 : Type {3,48}_6 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-11 * R^-1 * S^15 * R^-1 * S^-6 ] R85.5 : Type {3,48}_24 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, S^-3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-1, S^-8 * R^-1 * S^7 * R^-1 * S^-1 ] R85.6 : Type {4,6}_24 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] R85.7 : Type {4,8}_28 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^3 * R^-1 * S^-1 * R * S^-2 ] R85.8 : Type {4,8}_28 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2 ] R85.9 : Type {4,8}_14 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-1)^6, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] R85.10 : Type {4,8}_12 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-4 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R85.11 : Type {4,8}_12 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-2 ] R85.12 : Type {4,8}_6 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-3 * R^-1 * S^2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * R ] R85.13 : Type {4,25}_50 Order 1600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-25 ] R85.14 : Type {4,28}_4 Order 1568 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 ] R85.15 : Type {4,60}_20 Order 1440 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^-7 * R^-1 * S^3 * R * S^-3 * R * S^3 * R^-1 * S^-4 ] R85.16 : Type {4,88}_88 Order 1408 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^88 ] R85.17 : Type {4,88}_44 Order 1408 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^22 * R^2 * S^2 * R^-1 * S^-3 * R * S^17 ] R85.18 : Type {4,172}_172 Order 1376 mV = 86 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^172 ] R85.19 : Type {4,340}_170 Order 1360 mV = 340 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^85 * R * S^-6 * R * S^79 ] R85.20 : Type {6,6}_8 Order 2016 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-2 ] R85.21 : Type {6,10}_30 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10, (R * S^-3 * R * S^-2)^2 ] R85.22 : Type {6,10}_12 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3 * R)^2, S^10 ] R85.23 : Type {6,24}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S^5 * R^-3 * S^7 ] R85.24 : Type {6,24}_12 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3, S^5 * R^-3 * S^7 ] R85.25 : Type {6,24}_12 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R85.26 : Type {6,24}_24 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R85.27 : Type {6,24}_12 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (S * R^-1 * S)^3, S^-6 * R^-1 * S^7 * R^-1 * S^-3 ] R85.28 : Type {6,24}_6 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^-6 * R^-1 * S^7 * R^-1 * S^-3 ] R85.29 : Type {6,24}_6 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, (S^-1 * R^2 * S^-1)^3, S^-5 * R^2 * S^2 * R^-1 * S^-1 * R ] R85.30 : Type {6,24}_12 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-3 * R * S^4 ] R85.31 : Type {6,24}_24 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] R85.32 : Type {6,24}_24 Order 1152 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^24 ] R85.33 : Type {6,24}_12 Order 1152 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S^8 * R^-1 * S^-2 ] R85.34 : Type {6,24}_6 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, (R * S^-1)^8 ] R85.35 : Type {6,24}_6 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^2 * R^2 * S^-1 * R^2 * S^5 ] R85.36 : Type {6,24}_24 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^24 ] R85.37 : Type {6,24}_12 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] R85.38 : Type {6,66}_44 Order 1056 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^11 * R^-1 * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^5 ] R85.39 : Type {6,87}_174 Order 1044 mV = 29 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-87 ] R85.40 : Type {6,255}_170 Order 1020 mV = 255 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-43 * R^2 * S^-42 ] R85.41 : Type {8,8}_6 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] R85.42 : Type {8,8}_6 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3, (R^3 * S^-1)^3 ] R85.43 : Type {8,8}_6 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] R85.44 : Type {8,8}_8 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2 ] R85.45 : Type {8,8}_8 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, R * S^-2 * R^4 * S^2 * R^-2 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2 ] R85.46 : Type {8,8}_8 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R85.47 : Type {8,12}_8 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^12 ] R85.48 : Type {8,12}_4 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^12 ] R85.49 : Type {10,20}_12 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2 ] R85.50 : Type {10,20}_12 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R ] R85.51 : Type {12,15}_10 Order 960 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S^4, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-3 * R^-3 * S * R^-3 * S^-1 ] R85.52 : Type {12,36}_36 Order 864 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^36 ] R85.53 : Type {12,36}_36 Order 864 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^36 ] R85.54 : Type {12,204}_34 Order 816 mV = 204 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^17 * R * S^-4 * R * S^13 ] R85.55 : Type {18,18}_12 Order 864 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-2, R^2 * S^-2 * R^7 * S^-1 * R * S^-1 * R * S^-2 * R ] R85.56 : Type {22,187}_34 Order 748 mV = 187 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-9 * R * S^3 * R^-1 * S^-5 ] R85.57 : Type {24,48}_16 Order 768 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R85.58 : Type {24,48}_16 Order 768 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^8 * R * S^-1 * R * S^7 ] R85.59 : Type {24,48}_16 Order 768 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-5 * S * R^9 * S * R^-2, R^-1 * S^2 * R^-13 * S * R^-6 * S ] R85.60 : Type {24,48}_16 Order 768 mV = 24 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, S * R^6 * S * R^-2 * S^2, S^-1 * R^6 * S^-1 * R^8 * S^-1 * R^4 * S^-1 * R^2 ] R85.61 : Type {24,48}_16 Order 768 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-3 * R^4 * S^-5 ] R85.62 : Type {24,48}_16 Order 768 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-1 * R * S^-2 * R, S^-3 * R^4 * S^-5 ] R85.63 : Type {24,48}_16 Order 768 mV = 12 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^17 * S^-3 * R * S^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7 ] R85.64 : Type {24,48}_16 Order 768 mV = 12 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-2 * R^3 * S^5, S^-2 * R^5 * S^-1 * R^12 * S^-2 * R * S^-1 ] R85.65 : Type {25,25}_4 Order 800 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^4, R * S^-1 * R * S^-1 * R^7 * S^-1 * R * S^-1 * R^11 ] R85.66 : Type {28,28}_14 Order 784 mV = 14 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R * S^-1 * R^-8 * S^-1 * R^5, R^-1 * S * R^-2 * S * R^-5 * S * R^-9 * S * R^-5 * S^2 ] R85.67 : Type {28,28}_14 Order 784 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R * S^-6 * R^13 * S * T * S^-4 * T * S^2 ] R85.68 : Type {36,180}_10 Order 720 mV = 180 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^-1 * S * R^-3 * S^3 * R^-1 * S^3 * R^-23 * S ] R85.69 : Type {45,90}_4 Order 720 mV = 30 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^45 ] R85.70 : Type {60,60}_6 Order 720 mV = 20 mF = 30 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^19 * R^-7 * S^3 * R^-1 * S^3 * R^-25 * S ] R85.71 : Type {60,60}_6 Order 720 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, S^-6 * R^7 * S^-1 * R^3 * S^-1 * R^2 ] R85.72 : Type {88,88}_4 Order 704 mV = 44 mF = 44 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-19 * S * R^-1 * S^4 * R^-9 * S * R^-2 * S * R^-2 * S ] R85.73 : Type {88,88}_4 Order 704 mV = 44 mF = 44 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^88 ] R85.74 : Type {171,342}_2 Order 684 mV = 342 mF = 171 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^73 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-79 ] R85.75 : Type {172,172}_2 Order 688 mV = 172 mF = 172 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^152 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ] R85.76 : Type {340,340}_2 Order 680 mV = 340 mF = 340 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-72 * R ] R86.1 : Type {3,40}_12 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-8 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-10 ] R86.2 : Type {4,174}_348 Order 1392 mV = 87 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^174 ] R86.3 : Type {4,344}_344 Order 1376 mV = 344 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^86 * R * S^-6 * R * S^80 ] R86.4 : Type {6,20}_12 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^2 * S^-1 * R * S^-1 * R^-1 * S^6 ] R86.5 : Type {6,20}_12 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 ] R86.6 : Type {6,88}_264 Order 1056 mV = 44 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^88 ] R86.7 : Type {6,258}_86 Order 1032 mV = 258 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^43 * R^2 * S^43 ] R86.8 : Type {8,116}_232 Order 928 mV = 58 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^29 * R^4 * S^29 ] R86.9 : Type {10,45}_90 Order 900 mV = 9 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-45 ] R86.10 : Type {10,215}_86 Order 860 mV = 215 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-22 * R^2 * S^-21 ] R86.11 : Type {20,40}_40 Order 800 mV = 20 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^-10 * R^-7 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R86.12 : Type {20,40}_40 Order 800 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-9 * S^3 ] R86.13 : Type {20,40}_40 Order 800 mV = 8 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^13 * S^-3 * R * S^-1, S^10 * R * S^-4 * R * S^6 ] R86.14 : Type {173,346}_2 Order 692 mV = 346 mF = 173 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^153 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^4 ] R86.15 : Type {174,174}_2 Order 696 mV = 174 mF = 174 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^154 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ] R86.16 : Type {344,344}_2 Order 688 mV = 344 mF = 344 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^153 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ] R87.1 : Type {4,90}_90 Order 1440 mV = 30 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^90 ] R87.2 : Type {4,176}_176 Order 1408 mV = 88 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^176 ] R87.3 : Type {4,176}_176 Order 1408 mV = 88 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^44 * R * S^-1 * R * S^43 ] R87.4 : Type {4,348}_174 Order 1392 mV = 348 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^87 * R^2 * S^87 ] R87.5 : Type {8,60}_30 Order 960 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^15 * R^4 * S^15 ] R87.6 : Type {8,60}_60 Order 960 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^15 * R * S^-2 * R * S^13 ] R87.7 : Type {8,60}_120 Order 960 mV = 30 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^60 ] R87.8 : Type {8,60}_120 Order 960 mV = 15 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^60 ] R87.9 : Type {8,232}_58 Order 928 mV = 232 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^29 * R^2 * S^29 ] R87.10 : Type {8,232}_116 Order 928 mV = 232 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^29 * R * S^-2 * R * S^27 ] R87.11 : Type {14,203}_58 Order 812 mV = 203 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-15 * R * S^4 * R^-1 * S^-10 ] R87.12 : Type {24,96}_32 Order 768 mV = 48 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^17 * S^-3 * R * S^-1, S^8 * R * S^-1 * R * S^7 ] R87.13 : Type {24,96}_32 Order 768 mV = 48 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^8 * R^4 * S^8 ] R87.14 : Type {90,90}_4 Order 720 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^72 * S^-2 * R^14 ] R87.15 : Type {118,177}_6 Order 708 mV = 177 mF = 59 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^-2 * R^56 * S^-1 ] R87.16 : Type {175,350}_2 Order 700 mV = 350 mF = 175 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^155 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ] R87.17 : Type {176,176}_4 Order 704 mV = 176 mF = 176 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^86 * S^-1 ] R87.18 : Type {176,176}_2 Order 704 mV = 176 mF = 176 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^156 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^3 ] R87.19 : Type {348,348}_2 Order 696 mV = 348 mF = 348 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^154 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * S^-1 ] R88.1 : Type {4,178}_356 Order 1424 mV = 89 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^178 ] R88.2 : Type {4,352}_352 Order 1408 mV = 352 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^88 * R^2 * S^88 ] R88.3 : Type {6,32}_32 Order 1152 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ] R88.4 : Type {6,90}_90 Order 1080 mV = 30 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^90 ] R88.5 : Type {6,90}_90 Order 1080 mV = 45 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^90 ] R88.6 : Type {6,264}_88 Order 1056 mV = 264 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^44 * R * S^-1 * R * S^43 ] R88.7 : Type {10,46}_230 Order 920 mV = 23 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^46 ] R88.8 : Type {10,220}_44 Order 880 mV = 220 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^22 * R * S^-1 * R * S^21 ] R88.9 : Type {12,72}_72 Order 864 mV = 24 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^18 * R * S^-2 * R * S^16 ] R88.10 : Type {12,72}_72 Order 864 mV = 36 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^18 * R^6 * S^18 ] R88.11 : Type {16,52}_208 Order 832 mV = 26 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^13 * R^-6 * S^6 * R^-1 * S^-1 * R * S^6 ] R88.12 : Type {18,24}_72 Order 864 mV = 12 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, (R * S^-1 * R^4)^2, R^18 ] R88.13 : Type {18,24}_72 Order 864 mV = 12 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^24 ] R88.14 : Type {18,24}_36 Order 864 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-3 * R * S^4, R * S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R * S^2 ] R88.15 : Type {18,198}_22 Order 792 mV = 198 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^11 * R * S^-1 * R * S^10 ] R88.16 : Type {34,187}_22 Order 748 mV = 187 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-6 * S^6 ] R88.17 : Type {42,63}_18 Order 756 mV = 21 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^12 * S^-5 ] R88.18 : Type {46,184}_8 Order 736 mV = 184 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^7 * R^-6 * S^3 * R^-1 * S^3 * R^-25 * S ] R88.19 : Type {90,180}_4 Order 720 mV = 180 mF = 45 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^49 * R^-7 * S^3 * R^-1 * S^3 * R^-25 * S ] R88.20 : Type {177,354}_2 Order 708 mV = 354 mF = 177 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^79 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-76 * S ] R88.21 : Type {178,178}_2 Order 712 mV = 178 mF = 178 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 ] R88.22 : Type {352,352}_2 Order 704 mV = 352 mF = 352 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^156 * T * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * S^-1 ] R89.1 : Type {3,10}_44 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] R89.2 : Type {3,10}_24 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^2 * R^-1 * S ] R89.3 : Type {4,15}_60 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, S^-15 ] R89.4 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-2, S^12 * R * S^-5 * R * S^7 ] R89.5 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^48 ] R89.6 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^2 * S^3 * R^-1, S^12 * R * S^-5 * R * S^7 ] R89.7 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^12 * R^2 * S^2 * R^-1 * S^-1 * R * S^9 ] R89.8 : Type {4,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^48 ] R89.9 : Type {4,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-3 * R * S^9 ] R89.10 : Type {4,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1, S^12 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^6 ] R89.11 : Type {4,48}_48 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S^4 * R^-1, S^12 * R * S^-3 * R * S^9 ] R89.12 : Type {4,48}_12 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, (R * S^-1)^8 ] R89.13 : Type {4,48}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^5 * R^-1 * S^-2 ] R89.14 : Type {4,92}_92 Order 1472 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^92 ] R89.15 : Type {4,180}_180 Order 1440 mV = 90 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^180 ] R89.16 : Type {4,356}_178 Order 1424 mV = 356 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^89 * R^2 * S^89 ] R89.17 : Type {5,6}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R * S^-2 * R)^2 ] R89.18 : Type {5,6}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1 * R * S^-1 * R)^2 ] R89.19 : Type {6,14}_8 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-2)^4, (R * S^-6)^2 ] R89.20 : Type {6,14}_14 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R * S^-4 * R^-2 * S^-5 ] R89.21 : Type {6,14}_28 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, S^-4 * R^-2 * S^2 * R^-2 * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ] R89.22 : Type {6,69}_92 Order 1104 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-12 * R^2 * S^-1 * R^2 * S^-10 ] R89.23 : Type {6,267}_178 Order 1068 mV = 267 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-45 * R * S * R^-1 * S^-43 ] R89.24 : Type {8,10}_10 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10 ] R89.25 : Type {8,10}_20 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-1 * R^-3 * S^3 * R^-1 * S^-2 ] R89.26 : Type {8,10}_20 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S^2 ] R89.27 : Type {8,10}_20 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 ] R89.28 : Type {8,10}_10 Order 1280 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^10, S^4 * R^3 * S^4 * R^-1 ] R89.29 : Type {8,10}_20 Order 1280 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^10, S^4 * R^3 * S^4 * R^-1 ] R89.30 : Type {8,10}_20 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 ] R89.31 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^32 ] R89.32 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^32 ] R89.33 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-1 * R * S^5 * R^-1 * S^-2 ] R89.34 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^8 * R^3 * S^-4 * R * S^4 ] R89.35 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-8 * R^2 * S^-2 * R^2 * S^-6 ] R89.36 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^3 * R^3 * S^3 * R^-1, S^8 * R * S^-3 * R * S^5 ] R89.37 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^3 * R^3 * S^3 * R^-1, S^8 * R * S^-3 * R * S^5 ] R89.38 : Type {8,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^8 * R^3 * S^-4 * R * S^4 ] R89.39 : Type {8,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^2 * S * R^-1 * S^-1, S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-6 * R * S^2 ] R89.40 : Type {8,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1, S^-8 * R^2 * S^-2 * R^2 * S^-6 ] R89.41 : Type {8,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R89.42 : Type {8,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-2 * R^-1 * S^11 * R^-1 * S^-3 ] R89.43 : Type {8,120}_60 Order 960 mV = 60 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^30 * R^4 * S^30 ] R89.44 : Type {8,120}_60 Order 960 mV = 60 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^30 * R * S^-1 * R * S^29 ] R89.45 : Type {12,20}_10 Order 960 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^12, S^3 * R * S^-1 * R^2 * S^3 * R^-1 * S ] R89.46 : Type {12,20}_10 Order 960 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-4)^2 ] R89.47 : Type {12,20}_60 Order 960 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, R * S^-3 * R^-1 * S * R^-2 * S^6 ] R89.48 : Type {12,20}_30 Order 960 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^12, S^-5 * R^4 * S^-2 * R * S * R^-1 * S^-2 ] R89.49 : Type {12,20}_60 Order 960 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^20 ] R89.50 : Type {12,20}_4 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^12, (R * S^-1 * R^4)^2, S^3 * R^4 * S^3 * R^-2 ] R89.51 : Type {12,20}_8 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^2, (R * S^-3 * R)^2 ] R89.52 : Type {15,15}_8 Order 960 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^-15 ] R89.53 : Type {32,96}_12 Order 768 mV = 48 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-2 * S^3 * R^-1 * S^3 * R^-20 * S ] R89.54 : Type {32,96}_24 Order 768 mV = 48 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^5 * R^-4 * S^7 ] R89.55 : Type {32,96}_24 Order 768 mV = 48 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S^2 * R^-2 * S * R^-7 * S^3 ] R89.56 : Type {32,96}_12 Order 768 mV = 48 mF = 16 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S^-6 * R^-3 * S^4 * R^-1 * S^-2, R^-1 * S^2 * R^-2 * S * R^-7 * S^3 ] R89.57 : Type {48,48}_4 Order 768 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-2 * S^29 * R^-1 * S * R^-13 * S ] R89.58 : Type {48,48}_4 Order 768 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R * S^-1 * R^4 * S^-1 * R^9 * S^-1 * R^3 * S^-2 ] R89.59 : Type {48,48}_8 Order 768 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S^5 * R^-1 * S * R^-2 * S * R^-13 * S ] R89.60 : Type {48,48}_8 Order 768 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-6 * R^2 * S^-1 * R^9 * S^-5 * R ] R89.61 : Type {48,48}_8 Order 768 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R^-2 * S^5 * R^-1 * S^6 * R^-3 * S * R^-1 * S * R^-13 * S * R^-5 * S^8 * R^-1 ] R89.62 : Type {48,48}_8 Order 768 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S^-1 * R^6 * S^-1 * R^12 * S^-2 * R^2 ] R89.63 : Type {48,48}_8 Order 768 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, (R * S^-1 * R^4)^2, S^-2 * R^-3 * S * R^4 * S^3 * R^-1 * S^-2 ] R89.64 : Type {48,48}_8 Order 768 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S^-1 * R * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] R89.65 : Type {48,48}_8 Order 768 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^7 * S^-1 * R^12 * S^-3 * R ] R89.66 : Type {48,48}_4 Order 768 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^3 * R^-22 * S^2 * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^3 ] R89.67 : Type {48,48}_4 Order 768 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S * R^-3 * S * R^-14 * S^2 ] R89.68 : Type {48,48}_8 Order 768 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R^-1 * S^2 * R^-1 * S * R^-7 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^3 ] R89.69 : Type {92,92}_4 Order 736 mV = 46 mF = 46 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^51 * R^-8 * S^3 * R^-2 * S * R^-26 * S ] R89.70 : Type {179,358}_2 Order 716 mV = 358 mF = 179 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^81 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-2 * T * R^-79 ] R89.71 : Type {180,180}_2 Order 720 mV = 180 mF = 180 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 ] R89.72 : Type {356,356}_2 Order 712 mV = 356 mF = 356 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^79 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-80 * R ] R90.1 : Type {4,93}_186 Order 1488 mV = 31 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-93 ] R90.2 : Type {4,182}_364 Order 1456 mV = 91 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^182 ] R90.3 : Type {4,360}_360 Order 1440 mV = 360 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^90 * R^2 * S^90 ] R90.4 : Type {6,92}_276 Order 1104 mV = 46 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^92 ] R90.5 : Type {8,62}_248 Order 992 mV = 31 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^62 ] R90.6 : Type {12,38}_228 Order 912 mV = 19 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^38 ] R90.7 : Type {14,32}_224 Order 896 mV = 16 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^32 ] R90.8 : Type {14,210}_30 Order 840 mV = 210 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^15 * R^2 * S^15 ] R90.9 : Type {20,22}_220 Order 880 mV = 11 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^22 ] R90.10 : Type {21,35}_10 Order 840 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1, S^-4 * R^-2 * S^-4 * R ] R90.11 : Type {22,198}_18 Order 792 mV = 198 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R90.12 : Type {26,195}_30 Order 780 mV = 195 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-8 * R * S * R^-1 * S^-6 ] R90.13 : Type {38,190}_10 Order 760 mV = 190 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^24 * S^-3 * R * S^-3 * R^7 ] R90.14 : Type {62,186}_6 Order 744 mV = 186 mF = 31 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^19 * R^-8 * S^3 * R^-1 * S^3 * R^-26 ] R90.15 : Type {74,185}_10 Order 740 mV = 185 mF = 37 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^20 * S^-3 * R * S^-3 * R^5 * S^-2 ] R90.16 : Type {92,184}_8 Order 736 mV = 184 mF = 46 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S^4 * R^-8 * S^3 * R^-1 * S^3 * R^-26 ] R90.17 : Type {93,93}_4 Order 744 mV = 31 mF = 31 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^75 * S^-2 * R^14 ] R90.18 : Type {122,183}_6 Order 732 mV = 183 mF = 61 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S^20 * R^-8 * S^3 * R^-1 * S^3 * R^-25 * S ] R90.19 : Type {181,362}_2 Order 724 mV = 362 mF = 181 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^160 * R^-4 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T ] R90.20 : Type {182,182}_2 Order 728 mV = 182 mF = 182 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-82 ] R90.21 : Type {360,360}_2 Order 720 mV = 360 mF = 360 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * S^2 * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-80 * R ] R91.1 : Type {3,21}_18 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^6 * R^-1 * S^-7, S^-2 * R * S^-3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1, (S^-2 * R * S^-3)^3 ] R91.2 : Type {3,30}_6 Order 2700 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^30 ] R91.3 : Type {3,36}_24 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, S^-9 * R^-1 * S^8 * R^-1 * S^-1 ] R91.4 : Type {3,36}_24 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, S * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] R91.5 : Type {4,5}_40 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] R91.6 : Type {4,8}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R * S, S^-4 * R * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R * S^-1 * R ] R91.7 : Type {4,8}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, (S^-2 * R * S^-1)^3 ] R91.8 : Type {4,8}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R91.9 : Type {4,8}_10 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^8, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^3 ] R91.10 : Type {4,8}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^3 * R^-1 ] R91.11 : Type {4,8}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S * R^-1 * S^2 ] R91.12 : Type {4,8}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S^-1 * R)^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R91.13 : Type {4,8}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R ] R91.14 : Type {4,10}_30 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, (R * S^-1)^6, R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S ] R91.15 : Type {4,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^24 ] R91.16 : Type {4,24}_24 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^24 ] R91.17 : Type {4,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-3 ] R91.18 : Type {4,24}_24 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ] R91.19 : Type {4,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-1)^6 ] R91.20 : Type {4,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R91.21 : Type {4,24}_24 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ] R91.22 : Type {4,24}_24 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ] R91.23 : Type {4,40}_8 Order 1600 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^10 ] R91.24 : Type {4,40}_8 Order 1600 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R91.25 : Type {4,44}_66 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^11 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^6 ] R91.26 : Type {4,184}_184 Order 1472 mV = 92 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^184 ] R91.27 : Type {4,184}_184 Order 1472 mV = 92 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^46 * R * S^-1 * R * S^45 ] R91.28 : Type {4,364}_182 Order 1456 mV = 364 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^91 * R^2 * S^91 ] R91.29 : Type {5,5}_10 Order 3600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-2 * R * S^-1 * R * S^-1 ] R91.30 : Type {6,12}_30 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] R91.31 : Type {6,12}_10 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R91.32 : Type {6,18}_12 Order 1296 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^3 * S^-5, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 ] R91.33 : Type {6,33}_66 Order 1188 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-33 ] R91.34 : Type {6,93}_186 Order 1116 mV = 31 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-93 ] R91.35 : Type {6,273}_182 Order 1092 mV = 273 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-46 * R^2 * S^-45 ] R91.36 : Type {8,8}_4 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (S^-1 * R)^5, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ] R91.37 : Type {8,8}_8 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^8, (R^3 * S^-1)^3, (R * S^-3 * R^2)^2, S^-2 * R^3 * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R ] R91.38 : Type {8,8}_10 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, (R * S^-3 * R^2)^2, R * S^-1 * R^3 * S^-1 * R^-3 * S * R^-3 * S ] R91.39 : Type {8,8}_10 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ] R91.40 : Type {8,16}_48 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ] R91.41 : Type {8,16}_48 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, (R * S^-1)^6 ] R91.42 : Type {10,10}_6 Order 1200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R91.43 : Type {15,30}_30 Order 900 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, R^-15 ] R91.44 : Type {16,28}_112 Order 896 mV = 14 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^28 ] R91.45 : Type {16,28}_112 Order 896 mV = 7 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^28 ] R91.46 : Type {16,208}_26 Order 832 mV = 208 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-7 * S^4, S^13 * R * S^-4 * R * S^9 ] R91.47 : Type {16,208}_52 Order 832 mV = 208 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^4 * R^-7 * S^4, S^13 * R^2 * S^13 ] R91.48 : Type {18,36}_6 Order 864 mV = 9 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-1 * R^11 * S^-2 * R^2 * S^-1 ] R91.49 : Type {18,36}_24 Order 864 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S^2 * R^-3 * S^4, S * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] R91.50 : Type {24,24}_12 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R91.51 : Type {24,24}_12 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R91.52 : Type {24,24}_12 Order 864 mV = 8 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^-5 ] R91.53 : Type {24,24}_12 Order 864 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R^6 * S^-5 ] R91.54 : Type {24,24}_12 Order 864 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-1 * R^6 * S^-5 ] R91.55 : Type {24,24}_6 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R91.56 : Type {24,24}_6 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^3 * R^-1 * S * R^-9 * S^7 * R^-1 * S ] R91.57 : Type {24,24}_6 Order 864 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^6 * S^5 ] R91.58 : Type {24,24}_6 Order 864 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^-15 * S * R^-5 * S * R^-2 ] R91.59 : Type {24,24}_6 Order 864 mV = 4 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-2 * S^2 * R^-1 * S^2 * R^-1 * S * R^-10 * S^5 ] R91.60 : Type {30,195}_26 Order 780 mV = 195 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^6 * R^-2 * S^7 ] R91.61 : Type {40,40}_20 Order 800 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^5 * R^-7 * S^-1 * R * S^4 * R ] R91.62 : Type {40,40}_20 Order 800 mV = 8 mF = 20 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-4 * R^10 * S^-6 ] R91.63 : Type {40,40}_10 Order 800 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^5 * R^-9 * S^-5 ] R91.64 : Type {40,40}_10 Order 800 mV = 20 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^6 * S * R^-4, S^7 * R^-3 * S * R^-5 * S * R^-9 * S * R^-5 * S^6 * R^-2 ] R91.65 : Type {44,44}_6 Order 792 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^2 * R^-1 * S * R^-1 * T * R * S^-1 * R * S^-2 * R^6 * S^-1 * T * R^-1 * S * R^-1 * S ] R91.66 : Type {54,189}_14 Order 756 mV = 189 mF = 27 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^-5 * R^12 * S^-3 * R * S^-3 * R * S^-2 ] R91.67 : Type {63,126}_6 Order 756 mV = 63 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R^24 * S^-7 * R^5 * S^-1 * R^13 * S^-1 * R^2 * S^-1 * R^2 * S^-6 * R ] R91.68 : Type {183,366}_2 Order 732 mV = 366 mF = 183 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^82 * R^-3 * T * S^-1 * R^2 * T * S * R^-8 * S * T * S^-1 * R^2 * T * R^-81 ] R91.69 : Type {184,184}_4 Order 736 mV = 184 mF = 184 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^50 * R^-8 * S^3 * R^-2 * S * R^-27 ] R91.70 : Type {184,184}_2 Order 736 mV = 184 mF = 184 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^82 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-82 * R ] R91.71 : Type {364,364}_2 Order 728 mV = 364 mF = 364 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^81 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-81 * R ] R92.1 : Type {3,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S^3 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S, S^2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 ] R92.2 : Type {3,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^3 * R^-1 * S^2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ] R92.3 : Type {4,6}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R^-1 * S * R^-1 * S^2)^3, S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] R92.4 : Type {4,186}_372 Order 1488 mV = 93 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^186 ] R92.5 : Type {4,368}_368 Order 1472 mV = 368 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^92 * R^2 * S^92 ] R92.6 : Type {6,6}_12 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R * S^-2, S^-1 * R * S^-3 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R92.7 : Type {6,16}_16 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R ] R92.8 : Type {6,16}_28 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^-3 * S^-5, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2 ] R92.9 : Type {6,94}_282 Order 1128 mV = 47 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^94 ] R92.10 : Type {6,276}_92 Order 1104 mV = 276 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^46 * R^2 * S^46 ] R92.11 : Type {8,33}_132 Order 1056 mV = 11 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-33 ] R92.12 : Type {8,124}_248 Order 992 mV = 62 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^31 * R^4 * S^31 ] R92.13 : Type {10,48}_240 Order 960 mV = 24 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^48 ] R92.14 : Type {10,230}_46 Order 920 mV = 230 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^23 * R * S^-2 * R * S^21 ] R92.15 : Type {18,207}_46 Order 828 mV = 207 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^-12 * R * S^7 * R^-1 * S^-4 ] R92.16 : Type {94,188}_4 Order 752 mV = 188 mF = 47 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^52 * R^-8 * S^3 * R^-2 * S * R^-27 ] R92.17 : Type {185,370}_2 Order 740 mV = 370 mF = 185 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^83 * R^-3 * T * S^-1 * R^2 * T * S * R^-9 * T * R^3 * T * R^-81 * S ] R92.18 : Type {186,186}_2 Order 744 mV = 186 mF = 186 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * R^-3 * T * R^9 * S^-1 * T * R^-2 * S * T * R^3 * S^-84 ] R92.19 : Type {368,368}_2 Order 736 mV = 368 mF = 368 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^82 * T * R^-2 * S * T * S^-1 * R^8 * S^-1 * T * R^-2 * S * T * R^3 * S^-83 ] R93.1 : Type {4,96}_96 Order 1536 mV = 32 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^24 * R * S^-2 * R * S^22 ] R93.2 : Type {4,96}_96 Order 1536 mV = 32 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^96 ] R93.3 : Type {4,96}_96 Order 1536 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^96 ] R93.4 : Type {4,96}_96 Order 1536 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^24 * R^2 * S^2 * R^-1 * S^-3 * R * S^19 ] R93.5 : Type {4,188}_188 Order 1504 mV = 94 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^188 ] R93.6 : Type {4,372}_186 Order 1488 mV = 372 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^93 * R^2 * S^93 ] R93.7 : Type {7,12}_16 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 ] R93.8 : Type {8,18}_18 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^18 ] R93.9 : Type {8,18}_18 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^18 ] R93.10 : Type {8,18}_36 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^18 ] R93.11 : Type {8,18}_72 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^18 ] R93.12 : Type {8,18}_36 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, R^2 * S^-1 * R * S^-1 * R^-4 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^5 ] R93.13 : Type {8,64}_64 Order 1024 mV = 32 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^64 ] R93.14 : Type {8,64}_64 Order 1024 mV = 16 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^64 ] R93.15 : Type {8,64}_64 Order 1024 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R^3 * S^-2 * R * S^14 ] R93.16 : Type {8,64}_64 Order 1024 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^16 * R^3 * S^-4 * R * S^12 ] R93.17 : Type {8,64}_64 Order 1024 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R^4 * S^16 ] R93.18 : Type {8,64}_64 Order 1024 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^16 * R * S^-1 * R * S^15 ] R93.19 : Type {8,248}_62 Order 992 mV = 248 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^31 * R * S^-2 * R * S^29 ] R93.20 : Type {8,248}_124 Order 992 mV = 248 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^31 * R^2 * S^31 ] R93.21 : Type {12,30}_20 Order 960 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R93.22 : Type {12,30}_40 Order 960 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^-4 * S^7 ] R93.23 : Type {12,76}_114 Order 912 mV = 38 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^19 * R^6 * S^19 ] R93.24 : Type {14,217}_62 Order 868 mV = 217 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-16 * R * S^5 * R^-1 * S^-10 ] R93.25 : Type {64,192}_12 Order 768 mV = 192 mF = 32 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, S^-4 * R^16 * S^-3 * R * S^-3 * R^3 * S^-2 ] R93.26 : Type {64,192}_6 Order 768 mV = 192 mF = 32 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^20 * R^-9 * S^3 * R^-1 * S^3 * R^-25 * S ] R93.27 : Type {96,96}_8 Order 768 mV = 32 mF = 32 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S * R^-14 ] R93.28 : Type {96,96}_4 Order 768 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^-1 * S^29 * R^-1 * S * R^-14 ] R93.29 : Type {96,96}_4 Order 768 mV = 32 mF = 32 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^78 * S^-2 * R^14 ] R93.30 : Type {96,96}_4 Order 768 mV = 48 mF = 48 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^63 * S^-3 * R^2 * S^-1 * T * R^-12 * T * R^15 ] R93.31 : Type {96,96}_8 Order 768 mV = 48 mF = 48 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^-1 * S^5 * R^-9 * S^3 * R^-1 * S^3 * R^-25 * S ] R93.32 : Type {96,96}_4 Order 768 mV = 48 mF = 48 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^-1 * S * R^-22 * S^2 * R^-1 * S * R^-10 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 ] R93.33 : Type {187,374}_2 Order 748 mV = 374 mF = 187 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^168 * T * S * R^-1 * T * R^10 * T * R^-3 * T * R^3 * S^-1 ] R93.34 : Type {188,188}_2 Order 752 mV = 188 mF = 188 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^86 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-82 * R ] R93.35 : Type {372,372}_2 Order 744 mV = 372 mF = 372 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * R^-3 * T * R^9 * S^-1 * T * R^-2 * S * T * R^3 * S^-83 * R ] R94.1 : Type {4,35}_42 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 ] R94.2 : Type {4,66}_44 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, S^11 * R^2 * S * R^-1 * S^-1 * R * S^9 ] R94.3 : Type {4,190}_380 Order 1520 mV = 95 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^190 ] R94.4 : Type {4,376}_376 Order 1504 mV = 376 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^94 * R^2 * S^94 ] R94.5 : Type {6,96}_96 Order 1152 mV = 48 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^16 * R * S^-3 * R * S^13 ] R94.6 : Type {6,96}_96 Order 1152 mV = 32 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^96 ] R94.7 : Type {6,96}_96 Order 1152 mV = 48 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^96 ] R94.8 : Type {6,282}_94 Order 1128 mV = 282 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^47 * R * S^-1 * R * S^46 ] R94.9 : Type {10,235}_94 Order 940 mV = 235 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-24 * R * S * R^-1 * S^-22 ] R94.10 : Type {12,21}_42 Order 1008 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^5 * S * R^-3, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-21 ] R94.11 : Type {12,21}_8 Order 1008 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R^5 * S * R^-3, S^-2 * R^-4 * S^-5 ] R94.12 : Type {12,114}_76 Order 912 mV = 57 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^19 * R * S^-3 * R * S^16 ] R94.13 : Type {18,72}_24 Order 864 mV = 36 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, S^3 * R^-4 * S * R^-2 * S * R^-4 * S^3 ] R94.14 : Type {18,72}_24 Order 864 mV = 24 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^11 * S^-3 * R * S^-1, S^12 * R * S^-2 * R * S^10 ] R94.15 : Type {18,72}_12 Order 864 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, (S * R^-1 * S)^3, S * R * S^-3 * R * S^4 ] R94.16 : Type {24,36}_72 Order 864 mV = 18 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^7 * S^-4 * T * R^-2 * S * R^2 * T * S^-2 * R^-1 * S^2 ] R94.17 : Type {24,36}_72 Order 864 mV = 6 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^9 * S^-1 * R * S^-1, S^9 * R^2 * S * R^-1 * S^-5 * R * S^3 ] R94.18 : Type {30,42}_70 Order 840 mV = 21 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^9 * S * R^-1 * S, S^3 * R * S^-4 * R^-1 * S^7 ] R94.19 : Type {35,35}_6 Order 840 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^4, S * R * S^-1 * R^-3 * S^3 * R^-2 ] R94.20 : Type {66,66}_6 Order 792 mV = 33 mF = 33 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^6 * S^5, R^2 * S^-1 * R^3 * S^-1 * R^8 * S^-1 * R^3 * S^-1 * R^2 ] R94.21 : Type {66,66}_6 Order 792 mV = 33 mF = 22 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, S^24 * R^-1 * S^7 * R^-3 * S * R^-2 * S * R^-12 * S * R^-5 * S^8 * R^-1 ] R94.22 : Type {189,378}_2 Order 756 mV = 378 mF = 189 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^83 * R^-3 * T * R^3 * T * R^-10 * T * R^3 * T * R^-85 * S ] R94.23 : Type {190,190}_2 Order 760 mV = 190 mF = 190 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^87 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-84 ] R94.24 : Type {376,376}_2 Order 752 mV = 376 mF = 376 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^86 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-83 ] R95.1 : Type {4,192}_192 Order 1536 mV = 96 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^192 ] R95.2 : Type {4,192}_192 Order 1536 mV = 96 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^48 * R * S^-1 * R * S^47 ] R95.3 : Type {4,380}_190 Order 1520 mV = 380 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^95 * R^2 * S^95 ] R95.4 : Type {6,285}_190 Order 1140 mV = 285 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-48 * R * S * R^-1 * S^-46 ] R95.5 : Type {8,128}_128 Order 1024 mV = 64 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^32 * R^3 * S^-5 * R^-1 * S^27 ] R95.6 : Type {8,128}_128 Order 1024 mV = 64 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^32 * R * S^-1 * R * S^31 ] R95.7 : Type {12,40}_30 Order 960 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6 ] R95.8 : Type {12,40}_60 Order 960 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^6 ] R95.9 : Type {12,40}_120 Order 960 mV = 20 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^40 ] R95.10 : Type {12,40}_120 Order 960 mV = 20 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^12, S^10 * R * S^-1 * R * S^9 ] R95.11 : Type {12,228}_38 Order 912 mV = 228 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^19 * R^2 * S^19 ] R95.12 : Type {16,56}_112 Order 896 mV = 28 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^7 * S * R^-1 * S, S^14 * R * S^-1 * R * S^13 ] R95.13 : Type {16,56}_112 Order 896 mV = 28 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^14 * R^-6 * S^6 * R^-1 * S^-1 * R * S^7 ] R95.14 : Type {20,44}_110 Order 880 mV = 22 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^11 * R^-6 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R95.15 : Type {22,209}_38 Order 836 mV = 209 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^15 * S^-3 * R * S^-1, S^-10 * R * S^4 * R^-1 * S^-5 ] R95.16 : Type {78,195}_10 Order 780 mV = 195 mF = 39 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^3 * R^-3 * S^2 * R^-1 * S^2 * R^-26 * S^2 ] R95.17 : Type {191,382}_2 Order 764 mV = 382 mF = 191 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^171 * T * R^-3 * T * R^10 * T * R^-3 * T * R^4 ] R95.18 : Type {192,192}_4 Order 768 mV = 192 mF = 192 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^-1 * R^62 * S^-3 * R^2 * S^-1 * T * R^-12 * T * R^14 * S^-1 ] R95.19 : Type {192,192}_2 Order 768 mV = 192 mF = 192 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^172 * T * R^-3 * T * R^10 * T * R^-3 * T * R^4 ] R95.20 : Type {380,380}_2 Order 760 mV = 380 mF = 380 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^87 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-83 * R ] R96.1 : Type {3,9}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^-3 * R * S^-4 * R * S^-3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-1 ] R96.2 : Type {3,9}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S ] R96.3 : Type {3,9}_10 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (S * R^-1 * S)^5, S^-2 * R^-1 * S^2 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^2 * R^-1 * S^-1 ] R96.4 : Type {4,99}_198 Order 1584 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-99 ] R96.5 : Type {4,194}_388 Order 1552 mV = 97 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^194 ] R96.6 : Type {4,384}_384 Order 1536 mV = 384 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^96 * R^2 * S^96 ] R96.7 : Type {6,98}_294 Order 1176 mV = 49 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^98 ] R96.8 : Type {8,66}_132 Order 1056 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-17 * R^4 * S^-16 ] R96.9 : Type {8,66}_264 Order 1056 mV = 33 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^66 ] R96.10 : Type {10,12}_12 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, R^-1 * S * R^4 * S * R^-1 * S^2, S^12 ] R96.11 : Type {10,12}_12 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^10, S^12 ] R96.12 : Type {10,12}_12 Order 1200 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 ] R96.13 : Type {10,50}_50 Order 1000 mV = 10 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^50 ] R96.14 : Type {10,50}_50 Order 1000 mV = 25 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^50 ] R96.15 : Type {10,240}_48 Order 960 mV = 240 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^24 * R * S^-3 * R * S^21 ] R96.16 : Type {14,34}_238 Order 952 mV = 17 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^34 ] R96.17 : Type {14,224}_32 Order 896 mV = 224 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^16 * R * S^-1 * R * S^15 ] R96.18 : Type {18,26}_234 Order 936 mV = 13 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^26 ] R96.19 : Type {26,208}_16 Order 832 mV = 208 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7, S * R^-1 * S^2 * R^-21 * S ] R96.20 : Type {30,70}_42 Order 840 mV = 35 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^7 * S^-1 * R * S^-1, S^7 * R^-1 * S^-2 * R * S^5 ] R96.21 : Type {34,204}_12 Order 816 mV = 204 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^25 * S^-2 * R * S^-2 * R^4 ] R96.22 : Type {50,200}_8 Order 800 mV = 200 mF = 25 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S^8 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ] R96.23 : Type {51,68}_6 Order 816 mV = 17 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 ] R96.24 : Type {98,196}_4 Order 784 mV = 196 mF = 49 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^56 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ] R96.25 : Type {99,99}_4 Order 792 mV = 33 mF = 33 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^81 * S^-2 * R^14 ] R96.26 : Type {130,195}_6 Order 780 mV = 195 mF = 65 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^-1 * S^22 * R^-8 * S^2 * R^-1 * S * R^-2 * S * R^-26 * S ] R96.27 : Type {193,386}_2 Order 772 mV = 386 mF = 193 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^91 * R^-4 * T * R^10 * T * R^-3 * T * R^3 * T * R^-80 * S ] R96.28 : Type {194,194}_2 Order 776 mV = 194 mF = 194 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * S * R^-1 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-93 ] R96.29 : Type {384,384}_2 Order 768 mV = 384 mF = 384 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^172 * T * R^-3 * T * R^10 * T * R^-3 * T * R^3 * S^-1 ] R97.1 : Type {3,12}_48 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 ] R97.2 : Type {3,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-5 * R^-1 * S * R^-1 * S^6 * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R97.3 : Type {3,12}_48 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] R97.4 : Type {3,12}_24 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-1, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 ] R97.5 : Type {3,24}_16 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^4 * R^-1 * S)^2, (S * R^-1 * S)^8 ] R97.6 : Type {3,24}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2, (S * R^-1 * S)^8 ] R97.7 : Type {3,24}_16 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, (S^2 * R^-1 * S^4 * R^-1 * S)^2 ] R97.8 : Type {3,24}_8 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-5 * R * S^-2 * R * S^6 * R^-1 * S^2 ] R97.9 : Type {3,30}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^2, S * R * S^-3 * R^-1 * S^5 * R^-1 * S^-3 * R * S^6 ] R97.10 : Type {3,30}_40 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3 ] R97.11 : Type {4,5}_24 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R, (R * S^-2 * R * S^-1)^4 ] R97.12 : Type {4,6}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-2)^4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R97.13 : Type {4,7}_14 Order 3584 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] R97.14 : Type {4,7}_28 Order 3584 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 ] R97.15 : Type {4,7}_28 Order 3584 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-7, R * S^-2 * R * S^-3 * R^-2 * S^3 * R^-1 * S^3 * R^-1 * S ] R97.16 : Type {4,10}_20 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-4 * R^2 * S^5 * R^-1 ] R97.17 : Type {4,10}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^2 * R * S^-1 * R * S^-1 * R^-2 * S^-3 * R * S * R^-1 * S^2 ] R97.18 : Type {4,10}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^10, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] R97.19 : Type {4,12}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^12, S^-2 * R * S^-3 * R^2 * S^-3 * R * S^-2 ] R97.20 : Type {4,12}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^12, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] R97.21 : Type {4,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^8, S^16 ] R97.22 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^16 ] R97.23 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R, S^16 ] R97.24 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^16 ] R97.25 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^8, S^16 ] R97.26 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^16 ] R97.27 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^16 ] R97.28 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R * S^2 ] R97.29 : Type {4,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, (R * S^-1)^8 ] R97.30 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-3 ] R97.31 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-1)^8 ] R97.32 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S ] R97.33 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R97.34 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R97.35 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R97.36 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] R97.37 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4 ] R97.38 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ] R97.39 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R97.40 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^6 ] R97.41 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^4 * R^-1, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R97.42 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, (R * S^-1)^8 ] R97.43 : Type {4,16}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R97.44 : Type {4,16}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 ] R97.45 : Type {4,16}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S^16 ] R97.46 : Type {4,16}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-3 ] R97.47 : Type {4,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^16, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] R97.48 : Type {4,16}_16 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, (R * S^-2)^4, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] R97.49 : Type {4,20}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-3 * R ] R97.50 : Type {4,20}_24 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-4 * R^2 * S^-4 * R * S ] R97.51 : Type {4,28}_56 Order 1792 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^28 ] R97.52 : Type {4,52}_104 Order 1664 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^52 ] R97.53 : Type {4,100}_100 Order 1600 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^100 ] R97.54 : Type {4,196}_196 Order 1568 mV = 98 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^196 ] R97.55 : Type {4,388}_194 Order 1552 mV = 388 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^97 * R^2 * S^97 ] R97.56 : Type {5,5}_12 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] R97.57 : Type {6,6}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] R97.58 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^-2 * S * R^2 * S * R^-2 * S^-1 * R * S ] R97.59 : Type {6,6}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R * S^-1 * R^-2 * S * R^2 * S * R^-2 * S^-1 * R * S ] R97.60 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 ] R97.61 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-1 * R)^4 ] R97.62 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R * S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-2 * R * S^-2 ] R97.63 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.64 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R97.65 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] R97.66 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 ] R97.67 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S * R * S^-2 * R^3 * S^3 * R^-2 ] R97.68 : Type {6,7}_18 Order 2016 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7, S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R97.69 : Type {6,9}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-9, R^-1 * S^-1 * R^2 * S * R^-1 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 ] R97.70 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-4 * R^2 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4 ] R97.71 : Type {6,12}_4 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R)^4, (R * S^-4 * R)^2 ] R97.72 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-2 * R * S^2, (R * S^-1 * R)^4 ] R97.73 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, (R * S^-1 * R)^4 ] R97.74 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 ] R97.75 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R97.76 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] R97.77 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 ] R97.78 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, (R * S^-5)^2 ] R97.79 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R^2 * S^3 * R^-1, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, (R * S^-1 * R)^4 ] R97.80 : Type {6,12}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] R97.81 : Type {6,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] R97.82 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4 ] R97.83 : Type {6,15}_24 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, R^2 * S^-2 * R^-2 * S * R^-2 * S^-2 ] R97.84 : Type {6,15}_8 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S^-1 ] R97.85 : Type {6,21}_56 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-4 ] R97.86 : Type {6,27}_108 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-27 ] R97.87 : Type {6,75}_100 Order 1200 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-13 * R * S * R^-1 * S^-4 * R * S * R^-1 * S^-6 ] R97.88 : Type {6,99}_198 Order 1188 mV = 33 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-99 ] R97.89 : Type {6,291}_194 Order 1164 mV = 291 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-49 * R^2 * S^-48 ] R97.90 : Type {7,7}_4 Order 1792 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-7, S^-1 * R^3 * S^-1 * R^3 * S^-3 * R * S^-2 ] R97.91 : Type {7,7}_8 Order 1792 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S^-2 ] R97.92 : Type {7,7}_8 Order 1792 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R97.93 : Type {8,24}_8 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^-1 ] R97.94 : Type {8,24}_8 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, (R * S^-1)^6 ] R97.95 : Type {8,24}_4 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, S^-6 * R^-4 * S^-6 ] R97.96 : Type {8,24}_8 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-6 * R^-4 * S^-6 ] R97.97 : Type {8,24}_8 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S ] R97.98 : Type {8,24}_8 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R^2 * S^-3 * R * S, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 ] R97.99 : Type {10,10}_8 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R^3)^2, (R * S^-4)^2, S * R * S^-2 * R^3 * S * R^-2 * S^2 ] R97.100 : Type {10,10}_8 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, S^10, S * R * S^-1 * R^4 * S * R^-3 * S ] R97.101 : Type {10,10}_4 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^10, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2 ] R97.102 : Type {12,12}_12 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, (R * S^-1 * R^4)^2 ] R97.103 : Type {12,12}_24 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S * R * S^-3 * R * S^4, S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1 ] R97.104 : Type {12,12}_24 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.105 : Type {12,12}_24 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^12, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.106 : Type {12,12}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, R^12, S^-1 * R^6 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.107 : Type {12,12}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, R^12, (R * S^-1 * R^4)^2, S^-3 * R^4 * S * R^-2 * S^-2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.108 : Type {12,12}_12 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, (R * S^-1 * R^4)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] R97.109 : Type {12,12}_24 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^12, R^2 * S^-1 * R^4 * S^-3 * R^2 ] R97.110 : Type {12,12}_6 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12 ] R97.111 : Type {12,12}_12 Order 1152 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^12, S^12 ] R97.112 : Type {12,12}_24 Order 1152 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3 * R)^2, R^12 ] R97.113 : Type {12,12}_24 Order 1152 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, R^12, S^12 ] R97.114 : Type {12,60}_40 Order 960 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-6 ] R97.115 : Type {12,60}_20 Order 960 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-2 * R^2 * S^3 * R^-1, R^12, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^-1 * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-2 ] R97.116 : Type {12,60}_20 Order 960 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^10 * R * S^-3 * R * S^7 ] R97.117 : Type {15,30}_8 Order 960 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^3 * R^-1, R^-15 ] R97.118 : Type {15,30}_4 Order 960 mV = 6 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^6 * S * R^-4, S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-1, R^-15 ] R97.119 : Type {15,30}_8 Order 960 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2, R^-15 ] R97.120 : Type {16,16}_16 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^16, S^16 ] R97.121 : Type {16,16}_16 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^16 ] R97.122 : Type {16,16}_16 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^-16, S^16 ] R97.123 : Type {16,16}_16 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R^5 * S * R^-3, S^16 ] R97.124 : Type {16,16}_16 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R97.125 : Type {16,16}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^2 * R^7 * S^-4 * R * S^2 ] R97.126 : Type {16,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R97.127 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-5 ] R97.128 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^2 * R^8 * S^6 ] R97.129 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R^6 * S * R^-1 * S^2 * R^-1, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-2 * S^2 * R^-1 * S * R^-5 * S * R^-1 * S^2 * R^-1 ] R97.130 : Type {16,16}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^4 * S^2 * R^-3, S^2 * R^7 * S^-4 * R * S^2 ] R97.131 : Type {16,16}_16 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^3 * R * S^-1 * R^2 * S^-1 * R * S^3, R^-1 * S^2 * R^-8 * S * R^-1 * S^3 ] R97.132 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^4 * S^2 * R^-3, R * S^-1 * R^-1 * S * R^5 * S^-4 * R * S^2 ] R97.133 : Type {16,16}_16 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, R * S^-1 * R^-1 * S * R^6 * S^6 ] R97.134 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S^-2 * R^-3 * S * R^4 * S^3 * R^-1 * S^-2, R^-1 * S * R^-3 * S * R^-5 * S * R^-3 * S ] R97.135 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^5 * S * R^-3, R^-1 * S * R * S^-2 * R^-3 * S * R^-1 * S^-4 ] R97.136 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R97.137 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, R^-1 * S^2 * R^-8 * S * R^-1 * S^3 ] R97.138 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R97.139 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] R97.140 : Type {16,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^2 * R^8 * S^6 ] R97.141 : Type {16,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^6 * S^2 * R^-2 * S^-1, S^-1 * R^2 * S^-2 * R^2 * S^-5 ] R97.142 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ] R97.143 : Type {16,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^5 * S * R^-1 * S^-2 * R ] R97.144 : Type {16,16}_8 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^5 * S * R^-3, S * R * S^-3 * R^2 * S^4 * R^-1 ] R97.145 : Type {16,16}_8 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-2 * S * R^-11 * S * R^-1 ] R97.146 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] R97.147 : Type {16,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ] R97.148 : Type {16,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^3 * S * R^-2 * S ] R97.149 : Type {16,16}_8 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R97.150 : Type {16,16}_4 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S * R^6 * S^2 * R^-2 * S ] R97.151 : Type {16,16}_4 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, S * R^6 * S^2 * R^-2 * S ] R97.152 : Type {16,16}_4 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-2 * R^2 * S^5, R^-1 * S * R^-1 * S^2 * R^-6 * S^3 * R^-2 ] R97.153 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^5 * S * R^-1 * S^-2 * R, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R97.154 : Type {16,16}_4 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^6 * S^2 * R^-2 * S, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R^-2 * S^2 * R^-1 * S * R^-7 * S^3 ] R97.155 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S * R^-2 * S, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^-1 * S * R^-3 * S * R^-5 * S * R^-3 * S ] R97.156 : Type {16,16}_4 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] R97.157 : Type {16,16}_4 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4 ] R97.158 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, S * R^6 * S^2 * R^-2 * S, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3 ] R97.159 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, S * R^6 * S^2 * R^-2 * S ] R97.160 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2 ] R97.161 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ] R97.162 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S ] R97.163 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R * S^-2 * R^3 * S * R^-1 * S * R^-1 * S, R^-2 * S * R^-11 * S * R^-1 ] R97.164 : Type {16,16}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S, R * S^-2 * T * R^-8 * S^2 * R^-2 * T * R ] R97.165 : Type {16,16}_16 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R97.166 : Type {16,16}_16 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] R97.167 : Type {16,112}_28 Order 896 mV = 56 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^14 * R * S^-1 * R * S^13 ] R97.168 : Type {16,112}_56 Order 896 mV = 56 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^14 * R * S^-1 * R * S^13 ] R97.169 : Type {16,112}_56 Order 896 mV = 56 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^5 * S^-1 * R * S^-1, S^14 * R * S^-5 * R * S^9 ] R97.170 : Type {16,112}_28 Order 896 mV = 56 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S^5 * R^-5 * S^5, S^14 * R * S^-5 * R * S^9 ] R97.171 : Type {20,20}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2 ] R97.172 : Type {20,20}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^6 * S * R^-4, S^-3 * R^4 * S * R^-1 * S * R^-1 * S^-1 ] R97.173 : Type {24,72}_36 Order 864 mV = 36 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^9 * R^5 * S^-5 * R^-1 * S^4 ] R97.174 : Type {24,72}_36 Order 864 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-21 * S, S^9 * R * S^-2 * R * S^7 ] R97.175 : Type {24,72}_18 Order 864 mV = 36 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R * S^-1 * R^-11 * S^-1, S^9 * R^5 * S^-6 * R * S^3 ] R97.176 : Type {24,72}_18 Order 864 mV = 24 mF = 12 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^-1 * S * R^-21 * S, S^-2 * R^-1 * S^8 * R^-1 * S^-8 ] R97.177 : Type {28,28}_8 Order 896 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-8 * R^9 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 ] R97.178 : Type {36,36}_12 Order 864 mV = 6 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, R^-1 * S * R^-3 * S^2 * R^-1 * S^2 * R^-25 * S ] R97.179 : Type {51,102}_4 Order 816 mV = 34 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^-2 * S^30 * R^-1 * S * R^-1 * S * R^-12 * S * R^-1 ] R97.180 : Type {52,52}_4 Order 832 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-1 * R * S^-1 * R^22 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R^2 ] R97.181 : Type {100,100}_4 Order 800 mV = 50 mF = 50 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^-1 * S^57 * R^-8 * S^2 * R^-1 * S^2 * R^-28 * S ] R97.182 : Type {195,390}_2 Order 780 mV = 390 mF = 195 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^91 * T * R^2 * T * S * R^-1 * T * S^-1 * R^9 * T * R^-3 * T * R * S^-1 * T * R^-84 ] R97.183 : Type {196,196}_2 Order 784 mV = 196 mF = 196 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * T * R^-3 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-92 * R ] R97.184 : Type {388,388}_2 Order 776 mV = 388 mF = 388 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^83 * T * S * R^-1 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-92 * R ] R98.1 : Type {4,198}_396 Order 1584 mV = 99 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^198 ] R98.2 : Type {4,392}_392 Order 1568 mV = 392 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^98 * R^2 * S^98 ] R98.3 : Type {6,100}_300 Order 1200 mV = 50 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^100 ] R98.4 : Type {6,294}_98 Order 1176 mV = 294 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^49 * R^2 * S^49 ] R98.5 : Type {8,132}_264 Order 1056 mV = 66 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^33 * R^3 * S^-5 * R^-1 * S^28 ] R98.6 : Type {10,245}_98 Order 980 mV = 245 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^10, S^-25 * R * S^2 * R^-1 * S^-22 ] R98.7 : Type {12,80}_240 Order 960 mV = 40 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^20 * R^5 * S^-2 * R * S^18 ] R98.8 : Type {16,30}_240 Order 960 mV = 15 mF = 8 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^16, S^30 ] R98.9 : Type {20,110}_44 Order 880 mV = 55 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^11 * S^-4 * R * S^-1, S^11 * R * S^-5 * R * S^6 ] R98.10 : Type {28,32}_224 Order 896 mV = 16 mF = 14 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * T * S^4 * T * S^-1 * R^-13 * S^6 * R^-1 * S^-2 ] R98.11 : Type {30,210}_14 Order 840 mV = 210 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, R^23 * S^-2 * R * S^-2 * R^2 ] R98.12 : Type {42,70}_30 Order 840 mV = 35 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R * S^-1 * R^-7 * S^-1 * R^4, R^9 * S^-1 * R^3 * S^-1, S^-2 * R^-1 * S^3 * R^4 * S^3 * R^-1 * S^-2 ] R98.13 : Type {58,203}_14 Order 812 mV = 203 mF = 29 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^-1 * S^6 * R^-1 * S^-2, S^5 * R^-22 * S^2 ] R98.14 : Type {68,102}_12 Order 816 mV = 51 mF = 34 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2, S^3 * R^-1 * S * R^-1 * S^2 * R^-24 * S^2 ] R98.15 : Type {100,200}_8 Order 800 mV = 200 mF = 50 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, S * R^-1 * S^6 * R^-8 * S^2 * R^-1 * S^2 * R^-28 * S ] R98.16 : Type {197,394}_2 Order 788 mV = 394 mF = 197 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^93 * R^-1 * S * R^-1 * T * S^-1 * R^9 * T * R^-3 * T * R^3 * T * R^-83 * S ] R98.17 : Type {198,198}_2 Order 792 mV = 198 mF = 198 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * R^-3 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T * S^-92 ] R98.18 : Type {392,392}_2 Order 784 mV = 392 mF = 392 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^84 * T * R^-3 * T * R^3 * T * R^-9 * S * T * R * S^-1 * R * S^-93 ] R99.1 : Type {3,12}_56 Order 4704 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] R99.2 : Type {3,14}_42 Order 4116 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 ] R99.3 : Type {4,8}_56 Order 3136 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, (R * S^-1)^14 ] R99.4 : Type {4,8}_56 Order 3136 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R99.5 : Type {4,12}_42 Order 2352 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 ] R99.6 : Type {4,102}_102 Order 1632 mV = 34 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^102 ] R99.7 : Type {4,200}_200 Order 1600 mV = 100 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^200 ] R99.8 : Type {4,200}_200 Order 1600 mV = 100 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^50 * R * S^-1 * R * S^49 ] R99.9 : Type {4,396}_198 Order 1584 mV = 396 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^99 * R^2 * S^99 ] R99.10 : Type {6,52}_78 Order 1248 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^13 * R^2 * S^2 * R^-1 * S^-1 * R * S^10 ] R99.11 : Type {7,14}_14 Order 1372 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R ] R99.12 : Type {8,8}_28 Order 1568 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * T * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 ] R99.13 : Type {8,8}_14 Order 1568 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R * S^-3 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^-1 * S * R * S^-1 * R^3 * S^-1 * R^4 * S^-1 * R * S^2 ] R99.14 : Type {8,8}_14 Order 1568 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * T * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 * S^2 * R * S^-1 * R^-2 * S ] R99.15 : Type {8,12}_6 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S * R * S^-1 * R * S^-1 * R * S^4, R * S^-2 * R^4 * S^2 * R^-2 * S^-1 ] R99.16 : Type {8,12}_6 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, R^2 * S^-2 * R^3 * S^3 * R^-1 * S^-1 ] R99.17 : Type {8,12}_4 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-3 * R^3 * S * R^-2 * S^-1 * R ] R99.18 : Type {8,12}_4 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R^3 * S^-1)^3, R * S^-3 * R^3 * S^-3 * R * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 ] R99.19 : Type {8,68}_136 Order 1088 mV = 34 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^68 ] R99.20 : Type {8,68}_136 Order 1088 mV = 17 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^68 ] R99.21 : Type {8,264}_132 Order 1056 mV = 264 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^33 * R * S^-2 * R * S^31 ] R99.22 : Type {8,264}_66 Order 1056 mV = 264 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^33 * R^2 * S^33 ] R99.23 : Type {12,12}_14 Order 1176 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S ] R99.24 : Type {12,120}_40 Order 960 mV = 60 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, R^12, S^10 * R^3 * S^-2 * R * S^8 ] R99.25 : Type {12,120}_40 Order 960 mV = 60 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^20 * R * S^-1 * R * S^19 ] R99.26 : Type {14,35}_70 Order 980 mV = 5 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-35 ] R99.27 : Type {14,231}_66 Order 924 mV = 231 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^14, S^-17 * R^2 * S^-16 ] R99.28 : Type {15,40}_6 Order 960 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-3 * R^-3 * S^-5 ] R99.29 : Type {20,24}_120 Order 960 mV = 12 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^20, S^24 ] R99.30 : Type {20,24}_120 Order 960 mV = 12 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^5 * R * S^-1 * R * S^6, R^20 ] R99.31 : Type {20,220}_22 Order 880 mV = 220 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^11 * S^-4 * R * S^-1, S^11 * R^2 * S^11 ] R99.32 : Type {27,108}_8 Order 864 mV = 36 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-2 * R * S^3, R^8 * S^-1 * R^2 * S^-1 * T * R^-2 * S * R^-9 * T * R^2 * S^-1 ] R99.33 : Type {38,209}_22 Order 836 mV = 209 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-5 * R^8 * S^-6 ] R99.34 : Type {46,207}_18 Order 828 mV = 207 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^7 * R^-14 * S^2 ] R99.35 : Type {52,104}_8 Order 832 mV = 52 mF = 26 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-3 * R * S^4, R^38 * S^-2 * R * S^-2 * R^9 ] R99.36 : Type {52,104}_8 Order 832 mV = 52 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^5 * S * R^-3, R * S^-1 * R^8 * S^-8 * R^5 * S^-1 * R^12 * S^-1 * R * S^-2 * R^4 * S^-7 * R ] R99.37 : Type {68,204}_6 Order 816 mV = 204 mF = 34 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, R^53 * S^-1 * R^2 * S^-1 * R * S^-2 * R^8 ] R99.38 : Type {102,102}_4 Order 816 mV = 34 mF = 34 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S^2, R * S^-1 * R^84 * S^-2 * R^14 ] R99.39 : Type {134,201}_6 Order 804 mV = 201 mF = 67 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-2 * R * S^3, S * R^-1 * S^23 * R^-8 * S^2 * R^-1 * S * R^-2 * S * R^-26 * S ] R99.40 : Type {199,398}_2 Order 796 mV = 398 mF = 199 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^-1 * R^178 * T * S * R^-1 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T ] R99.41 : Type {200,200}_4 Order 800 mV = 200 mF = 200 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, S^58 * R^-8 * S^2 * R^-1 * S^2 * R^-29 ] R99.42 : Type {200,200}_2 Order 800 mV = 200 mF = 200 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, S^180 * T * R^2 * T * S^2 * T * R^10 * T * R^-3 * T * R^3 * T ] R99.43 : Type {396,396}_2 Order 792 mV = 396 mF = 396 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^85 * T * R^-3 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-3 * T * S^-91 * R ] R100.1 : Type {3,72}_12 Order 2592 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-8 * R^-1 * S^11 * R^-1 * S^-5 ] R100.2 : Type {4,10}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] R100.3 : Type {4,10}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^10, S * R * S^-1 * R^-1 * S^3 * R * S^-2 * R * S * R^-1 * S^-3 * R * S^3 ] R100.4 : Type {4,15}_8 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S * R * S^-4 * R * S^5, S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 ] R100.5 : Type {4,22}_4 Order 1936 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-22 ] R100.6 : Type {4,202}_404 Order 1616 mV = 101 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^202 ] R100.7 : Type {4,400}_400 Order 1600 mV = 400 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^100 * R^2 * S^100 ] R100.8 : Type {6,36}_36 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^5 * R * S^-1 * R^-2 * S^-6 ] R100.9 : Type {6,36}_36 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 ] R100.10 : Type {6,36}_36 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-6 ] R100.11 : Type {6,36}_36 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^36 ] R100.12 : Type {6,36}_36 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ] R100.13 : Type {6,36}_36 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^-1 * R^-1 * S^3 * R * S^-1 * R^2 * S^-7 ] R100.14 : Type {6,36}_12 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^-2 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-2 ] R100.15 : Type {6,36}_12 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-5 * R * S^6 ] R100.16 : Type {6,36}_36 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^36 ] R100.17 : Type {6,36}_12 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^-5 * R^-1 * S^5 * R^-1 * S^-2 ] R100.18 : Type {6,36}_36 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^5 ] R100.19 : Type {6,36}_12 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S * R^-2 * S^-1 * R^2 * S^-1 * R, S^3 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^6 ] R100.20 : Type {6,102}_102 Order 1224 mV = 51 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^2 * S^2 * R^-1, S^17 * R * S^-1 * R * S^16 ] R100.21 : Type {6,102}_102 Order 1224 mV = 34 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^102 ] R100.22 : Type {6,102}_102 Order 1224 mV = 51 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^102 ] R100.23 : Type {6,300}_100 Order 1200 mV = 300 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^50 * R * S^-1 * R * S^49 ] R100.24 : Type {7,16}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (S * R^-1 * S)^3, (R * S^-3 * R^2)^2 ] R100.25 : Type {7,16}_12 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S * R^-1 * S * R^-3 * S * R^-1 * S^3 ] R100.26 : Type {8,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, (R * S^-2 * R^2)^2, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] R100.27 : Type {8,10}_6 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (S^-1 * R)^5 ] R100.28 : Type {9,12}_18 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-9, (S * R^-1 * S)^3 ] R100.29 : Type {9,12}_6 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-2 * R * S^-1)^2 ] R100.30 : Type {9,12}_18 Order 1296 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^12 ] R100.31 : Type {9,12}_6 Order 1296 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, (S * R^-1 * S)^3, S^12 ] R100.32 : Type {9,12}_18 Order 1296 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, S^12 ] R100.33 : Type {9,12}_6 Order 1296 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, (S * R^-1 * S)^3, S^12 ] R100.34 : Type {9,45}_10 Order 1080 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, R^-9, S * R * S^-4 * R * S^5, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-2 ] R100.35 : Type {10,52}_260 Order 1040 mV = 26 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^52 ] R100.36 : Type {12,42}_84 Order 1008 mV = 7 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^42 ] R100.37 : Type {12,42}_84 Order 1008 mV = 21 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^12, S^42 ] R100.38 : Type {12,42}_84 Order 1008 mV = 21 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, R^12, (R * S^-1 * R^4)^2, S^3 * R * S^-4 * R^-1 * S^7 ] R100.39 : Type {12,240}_80 Order 960 mV = 240 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^12, S^20 * R * S^-4 * R * S^16 ] R100.40 : Type {18,27}_54 Order 972 mV = 3 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^9 * S^-4 * R * S^-1, S^-27 ] R100.41 : Type {18,225}_50 Order 900 mV = 225 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^9 * S^-4 * R * S^-1, S^-13 * R^2 * S^-12 ] R100.42 : Type {22,22}_22 Order 968 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^22 ] R100.43 : Type {22,22}_22 Order 968 mV = 11 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S^-1 * R^5 * S^-1 * R^8 * S^-1 * R^4 * S^-1 * R, R^22 ] R100.44 : Type {22,220}_20 Order 880 mV = 220 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-3 * R^13 * S^-4 * R * S^-1, S^-2 * R^-1 * S^9 * R^-1 * S^-9 ] R100.45 : Type {36,72}_24 Order 864 mV = 24 mF = 18 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-6 * R^6 * S^-6 ] R100.46 : Type {36,72}_24 Order 864 mV = 36 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R * S^-3 * R * S^4, R * S^-1 * R^-7 * S^-1 * R^4, R^-1 * S^2 * R^-4 * S * R^-2 * S * R^-4 * S * R^-1 * S ] R100.47 : Type {42,210}_10 Order 840 mV = 210 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, R^29 * S^-2 * R * S^-2 * R^8 ] R100.48 : Type {52,208}_16 Order 832 mV = 208 mF = 26 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S^-2 * R^-1 * S^7 * R^-1 * S^-7, S^-6 * R^13 * S^-2 * R * S^-4 ] R100.49 : Type {69,138}_6 Order 828 mV = 69 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^2, S * R^4 * S * R^-2, R * S^-1 * R^25 * S^-8 * R^5 * S^-1 * R^13 * S^-1 * R^6 * S^-7 * R ] R100.50 : Type {82,205}_10 Order 820 mV = 205 mF = 41 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-4 * R * S^5, S^-3 * R^25 * S^-2 * R * S^-2 * R^6 * S^-2 ] R100.51 : Type {102,204}_4 Order 816 mV = 204 mF = 51 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^89 * S^-2 * R * S^-2 * R^8 ] R100.52 : Type {201,402}_2 Order 804 mV = 402 mF = 201 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^85 * R^-4 * T * R^3 * T * R^-10 * T * S^-2 * T * R^-95 * S ] R100.53 : Type {202,202}_2 Order 808 mV = 202 mF = 202 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^98 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-84 * R ] R100.54 : Type {400,400}_2 Order 800 mV = 400 mF = 400 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^179 * T * R^2 * T * S^2 * T * R^10 * T * R^-3 * T * R^3 * T ] R101.1 : Type {4,8}_40 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 ] R101.2 : Type {4,8}_20 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * R^-1 ] R101.3 : Type {4,12}_60 Order 2400 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1)^10 ] R101.4 : Type {4,20}_10 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^4, S * R^-1 * S * R^-1 * S^3 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] R101.5 : Type {4,20}_10 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] R101.6 : Type {4,24}_20 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-5 * R * S^6 ] R101.7 : Type {4,24}_10 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^3 * R^-1 * S^3 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S ] R101.8 : Type {4,24}_40 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^2 ] R101.9 : Type {4,24}_40 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 ] R101.10 : Type {4,54}_108 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R * S^-2 * R^2 * S^3 * R^-1, S^54 ] R101.11 : Type {4,104}_104 Order 1664 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^104 ] R101.12 : Type {4,104}_52 Order 1664 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^26 * R^2 * S^2 * R^-1 * S^-3 * R * S^21 ] R101.13 : Type {4,204}_204 Order 1632 mV = 102 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^204 ] R101.14 : Type {4,404}_202 Order 1616 mV = 404 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^101 * R^2 * S^101 ] R101.15 : Type {5,20}_10 Order 1600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-3 * R * S^4, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1 ] R101.16 : Type {6,6}_20 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^6, S * R^-1 * S * R^2 * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R * S * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-2 ] R101.17 : Type {6,8}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-2 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 * S^-1 ] R101.18 : Type {6,8}_40 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] R101.19 : Type {6,15}_10 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, (R^-2 * S)^5 ] R101.20 : Type {6,15}_10 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-2 * R * S^3, R * S^-1 * R * S^-2 * R^-2 * S^-2 * R * S^-1 * R * S^-1, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-2 * S^-1 * R ] R101.21 : Type {6,28}_84 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^28 ] R101.22 : Type {6,28}_16 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R, R^-1 * S * R * S^-5 * R * S^-6 ] R101.23 : Type {6,78}_52 Order 1248 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^13 * R * S^-1 * R^2 * S^-1 * R * S^11 ] R101.24 : Type {6,303}_202 Order 1212 mV = 303 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^3 * S^-1 * R, S^-51 * R * S * R^-1 * S^-49 ] R101.25 : Type {8,8}_20 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, (R * S^-1)^10 ] R101.26 : Type {8,8}_20 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R101.27 : Type {8,36}_36 Order 1152 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^36 ] R101.28 : Type {8,36}_36 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R^3 * S^2 * R^-1, S^36 ] R101.29 : Type {8,36}_36 Order 1152 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-2 * R * S^7 ] R101.30 : Type {8,36}_18 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R^3 * S^-3 * R * S^6 ] R101.31 : Type {8,36}_36 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1, S^9 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^5 ] R101.32 : Type {8,36}_72 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^9 * R * S^-4 * R * S * R^-2 * S^4 ] R101.33 : Type {8,36}_72 Order 1152 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^36 ] R101.34 : Type {8,36}_36 Order 1152 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^36 ] R101.35 : Type {8,136}_68 Order 1088 mV = 68 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^8, S^34 * R^3 * S^-5 * R^-1 * S^29 ] R101.36 : Type {8,136}_68 Order 1088 mV = 68 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, R^8, S^34 * R * S^-1 * R * S^33 ] R101.37 : Type {10,15}_10 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, R^-2 * S * R^-4 * S * R^-2 * S^3 ] R101.38 : Type {10,15}_10 Order 1200 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^3, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R ] R101.39 : Type {12,12}_10 Order 1200 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^2 ] R101.40 : Type {12,12}_10 Order 1200 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, R^12, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] R101.41 : Type {20,20}_10 Order 1000 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, (S^-1 * R)^5 ] R101.42 : Type {20,20}_10 Order 1000 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S^3 * R^3 * S^3 * R^-1, (S^-1 * R)^5 ] R101.43 : Type {20,20}_10 Order 1000 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^4 * S^-3, (S^-1 * R)^5 ] R101.44 : Type {20,30}_12 Order 960 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^5 * S * R^-3, S^-2 * R^4 * S^-4, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^2 * S^3 * R^-1 ] R101.45 : Type {24,24}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^-1 * R^6 * S^-5, R^2 * S^-1 * R^4 * S^3 * R^-1 * S ] R101.46 : Type {24,24}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2 ] R101.47 : Type {24,24}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^3 * S^-1 * R * S^2, S * R^-1 * S * R^3 * S * R^-1 * S^2 ] R101.48 : Type {24,24}_6 Order 960 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S ] R101.49 : Type {28,56}_8 Order 896 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^2 * R^-1, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^-1 * S^4 * R^-1 * S^3 * R^-2 * S * R^-7 * S * R^-5 * S * R^-2 ] R101.50 : Type {28,56}_4 Order 896 mV = 14 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^28 ] R101.51 : Type {54,54}_4 Order 864 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S * R^-2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^36 * S^-1 * R * T * S * R^-11 * T * R * S^-1 * R ] R101.52 : Type {104,104}_4 Order 832 mV = 52 mF = 52 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S^2 * R^-1, S^-3 * R^22 * S^-3 * R^3 * S^-1 * R^2 * S^-1 * R^10 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] R101.53 : Type {104,104}_4 Order 832 mV = 52 mF = 52 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^3 * S * R^-1, S * R * S^-1 * R * S^2, R^90 * S^-2 * R * S^-2 * R^9 ] R101.54 : Type {203,406}_2 Order 812 mV = 406 mF = 203 Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^-1 * S^88 * R^-17 * T * S^-2 * T * R^-95 ] R101.55 : Type {204,204}_2 Order 816 mV = 204 mF = 204 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^92 * S^-1 * R^3 * T * S^2 * T * R^16 * S^-89 * R ] R101.56 : Type {404,404}_2 Order 808 mV = 404 mF = 404 Self-dual Defining relations for automorphism group: [ T^2, S * R^2 * S, (R, S), (R * T)^2, (S * T)^2, R^98 * T * S^2 * T * R^10 * T * R^-3 * T * R^4 * S^-85 ] Total number of maps in list above: 3378