Non-orientable regular maps of genus 2 to 202 --------------------------------------------- Below is a list of all (reflexible) non-orientable regular maps on surfaces of genus 2 to 202, up to isomorphism and duality. The notation "Ng.n" is used for the nth non-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. [Note: the above paper contained some errors in the multiplicities for those non-orientable regular maps that Steve Wilson describes as "cantankerous"; the following list has the correct multiplicities.] Total number of maps in list below: 862 N4.1 : Type {4,6}_6 Order 48 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^6 ] N4.2 : Type {4,6}_3 Order 48 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, R * S^-1 * R^-2 * S^-2 * T ] N5.1 : Type {4,5}_6 Order 120 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 * S^-1 * R^2 * S * R^-1 * T ] N5.2 : Type {4,6}_4 Order 72 mV = 2 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^2 * S * R^-1 * T, S * R * S^-1 * R^2 * S^-1 * R * S ] N5.3 : Type {5,5}_3 Order 60 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, R * S^-1 * R^-2 * S^-2 * T ] N5.4 : Type {6,6}_3 Order 36 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, S^-1 * R^-3 * S^2 * T ] N6.1 : Type {3,10}_10 Order 120 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 * R * S^-1 * R * S^-3 * T ] N6.2 : Type {3,10}_5 Order 120 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^-1 * S * R^-1 * S * T ] N6.3 : Type {4,5}_5 Order 160 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, S^-1 * T * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 ] N7.1 : Type {4,6}_5 Order 120 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, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T ] N7.2 : Type {4,9}_9 Order 72 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-9 ] N8.1 : Type {3,7}_9 Order 504 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^-1 * S * R^-1 * S^2 * R^-1 * T * S^-1 ] N9.1 : Type {3,8}_7 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^8, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N9.2 : Type {3,8}_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^8, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N9.3 : Type {6,10}_15 Order 60 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^-2 * R^-3 * S^3 * T ] N10.1 : Type {4,6}_6 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^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N10.2 : Type {4,12}_12 Order 96 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^2 * R * S^-1 * R^2 * S^-3 * T ] N10.3 : Type {4,12}_12 Order 96 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^12 ] N10.4 : Type {5,6}_10 Order 120 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, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T ] N10.5 : Type {5,6}_5 Order 120 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, S^-1 * R * S^-1 * R^-2 * S * R^-2 * T ] N10.6 : Type {5,6}_4 Order 120 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, S^-3 * R^-2 * S * R^-2 * T ] N11.1 : Type {4,6}_12 Order 216 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^2 * S * R^-1 * T ] N11.2 : Type {6,6}_3 Order 108 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^-2 * S^-2 * T ] N12.1 : Type {4,6}_5 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^6, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N12.2 : 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^6, S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * T ] N12.3 : Type {6,6}_6 Order 120 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^6, R * S^-1 * R^3 * S * R^-1 * T, S^-1 * R * S^-2 * R * S^2 * T ] N13.1 : Type {4,15}_15 Order 120 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-15 ] N13.2 : Type {6,14}_21 Order 84 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^4 * R^3 * S^-3 * T ] N14.1 : Type {3,10}_15 Order 360 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^-2 * T * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 ] N14.2 : Type {5,10}_6 Order 120 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, S^-3 * R^2 * S * R^-1 * T ] N14.3 : Type {5,10}_3 Order 120 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 * R^-2 * S^-2 * T ] N15.1 : Type {3,7}_13 Order 1092 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 * S^-1 * R * S^2 * R^-1 * T * S^-2 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N16.1 : Type {3,9}_7 Order 504 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 * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N16.2 : Type {4,6}_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^6, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T ] N16.3 : Type {4,18}_9 Order 144 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, R^-1 * S * T * S^-3 * R^2 * S^-5 ] N16.4 : Type {4,18}_18 Order 144 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^18 ] N16.5 : Type {6,10}_5 Order 120 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, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N16.6 : Type {6,10}_10 Order 120 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, S^-1 * R * S^-2 * R^2 * S * R^-1 * S * T ] N16.7 : Type {8,12}_3 Order 96 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 * S^-1 * R^-2 * S^-2 * T ] N16.8 : Type {8,12}_6 Order 96 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^-1 * S * R^-2 * S^2 * T ] N17.1 : Type {3,8}_10 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^8, S^-2 * T * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N17.2 : Type {4,10}_4 Order 200 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, S^10, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * T ] N17.3 : Type {6,18}_9 Order 108 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^2 * T * S^-2 * R^-3 * S^5 ] N17.4 : Type {10,10}_5 Order 100 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, R^-1 * T * S^-2 * R^4 * S^-3 ] N19.1 : Type {4,21}_21 Order 168 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-21 ] N20.1 : Type {4,10}_6 Order 240 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 * R^-1 * T, (R * S^-4)^2 ] N20.2 : Type {4,10}_6 Order 240 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, R * S^-1 * R * S^-1 * R^-2 * S^-4 * T ] N20.3 : Type {6,12}_3 Order 144 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 * R^-2 * S^-2 * T, (R * S^-1)^4 ] N20.4 : Type {10,10}_3 Order 120 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^-2 * S^-2 * T ] N20.5 : Type {10,10}_6 Order 120 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^3 * S^-2 * T ] N21.1 : Type {6,22}_33 Order 132 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^2 * T * S^-4 * R^3 * S^5 ] N22.1 : Type {4,24}_24 Order 192 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^6 * R^-2 * S * R^-1 * S^-2 * T * S^3 ] N22.2 : Type {4,24}_24 Order 192 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^24 ] N22.3 : Type {6,6}_6 Order 240 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R * S^-1 * R^3 * S * R^-1 * T ] N22.4 : Type {6,8}_3 Order 192 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 * R^-2 * S^-2 * T, S^8 ] N23.1 : Type {3,8}_21 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^8, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, S^-2 * R * S^-4 * R * S^-1 * R^-1 * S^2 * R^-1 * S * T * S^-2 * R * S^-1 ] N23.2 : Type {4,8}_7 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 * S^-1 * R^2 * S * R^-1 * T, S^8, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^2 ] N23.3 : Type {4,8}_6 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^8, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T ] N25.1 : Type {4,27}_27 Order 216 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-27 ] N25.2 : Type {6,26}_39 Order 156 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^-7 * R^3 * S^5 * T * S^-1 ] N25.3 : Type {10,14}_35 Order 140 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^3 * R^-5 * S^-3 * T * S ] N26.1 : Type {3,10}_8 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, (R * S^-2)^4, S^-2 * T * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N26.2 : Type {4,10}_5 Order 320 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N26.3 : Type {4,10}_10 Order 320 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, S^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-2 ] N28.1 : Type {4,30}_15 Order 240 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^-8 * R * S * R^-1 * S^-3 * T * S * R^-1 * S^-2 ] N28.2 : Type {4,30}_30 Order 240 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^30 ] N29.1 : Type {3,12}_9 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^12, S * R * S^-3 * R^-1 * S * R^-1 * S^-3 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * T * S^-1 ] N29.2 : Type {6,6}_9 Order 324 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, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N29.3 : Type {6,12}_12 Order 216 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N29.4 : Type {6,12}_12 Order 216 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^3 * S * R^-1 * T, (R * S^-3)^2 ] N29.5 : Type {6,12}_4 Order 216 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, R^2 * S^-1 * R^3 * S^-3 * T ] N29.6 : Type {6,30}_15 Order 180 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^-8 * R^3 * S^5 * T * S^-2 ] N30.1 : 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^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] N30.2 : 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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N30.3 : Type {5,8}_5 Order 320 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, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N30.4 : Type {5,8}_10 Order 320 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, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * T ] N30.5 : Type {6,6}_8 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^6, S^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] N30.6 : Type {6,10}_5 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^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N30.7 : 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^-1 * R * S^-2 * R^2 * S * R^-1 * S * T ] N30.8 : 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, R * S^-2 * R * S^-1 * R * S^-3 * T ] N30.9 : 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, (R * S^-4)^2, S^-2 * R * S^-1 * R^-2 * S^-2 * R * S * T ] N30.10 : Type {6,10}_4 Order 240 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, S^-2 * R^-3 * S^2 * R^-1 * T ] N30.11 : Type {6,10}_4 Order 240 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^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T ] N31.1 : Type {4,33}_33 Order 264 mV = 11 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-33 ] N32.1 : Type {4,6}_15 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^6, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] N33.1 : Type {6,34}_51 Order 204 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^-9 * R^3 * S^5 * T * S^-3 ] N33.2 : Type {10,18}_45 Order 180 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^-1 * R^2 * T * S^3 * R^3 * S^-5 ] N34.1 : 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N34.2 : 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N34.3 : Type {4,36}_36 Order 288 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^36 ] N34.4 : Type {4,36}_36 Order 288 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^9 * R^2 * S * R^-1 * S^-2 * T * S^6 ] N34.5 : Type {6,7}_7 Order 336 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^3 * S * R^-1 * T, S^-7 ] N34.6 : Type {8,24}_24 Order 192 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^2 * R * S^-1 * R^2 * S^-3 * T ] N34.7 : Type {8,24}_24 Order 192 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^-2 * R^-1 * S * R^2 * S^3 * T ] N35.1 : Type {4,5}_11 Order 1320 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 * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1, (R^-1 * S * R^-1 * S^2)^3 ] N35.2 : Type {4,5}_12 Order 1320 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 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N35.3 : Type {5,5}_5 Order 660 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N36.1 : Type {6,20}_15 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^-1)^4, (R * S^-3)^2, R^-1 * S^2 * R^-2 * S^3 * T ] N37.1 : Type {4,14}_4 Order 392 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, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T * S^-1 * R ] N37.2 : Type {4,39}_39 Order 312 mV = 13 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-39 ] N37.3 : Type {6,8}_4 Order 336 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, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-4 * R^-2 * S^2 * R^-2 * T ] N37.4 : Type {6,8}_6 Order 336 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^8, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N37.5 : Type {6,10}_3 Order 300 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 * R^-2 * S^-2 * T, S^10 ] N37.6 : Type {6,38}_57 Order 228 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^-10 * R^3 * S^5 * T * S^-4 ] N37.7 : Type {14,14}_7 Order 196 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, S^-3 * R^6 * S^-2 * T * S * R * S^-1 ] N38.1 : Type {4,10}_12 Order 480 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^3 * R * S^-1 * R^2 * S^-3 * R * T ] N38.2 : Type {4,10}_12 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^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N38.3 : Type {10,10}_6 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S^-2 * T, R^10 ] N38.4 : Type {10,10}_3 Order 240 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^-2 * S^-2 * T, (R * S^-2 * R)^2 ] N38.5 : 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, (R * S^-2 * R)^2, S^-2 * R^-3 * S * R^-1 * S * T ] N40.1 : Type {4,42}_42 Order 336 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^42 ] N40.2 : Type {4,42}_21 Order 336 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^-11 * R * S * R^-1 * S^-3 * T * S * R^-1 * S^-5 ] N41.1 : Type {6,42}_21 Order 252 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^-11 * R^3 * S^5 * T * S^-5 ] N41.2 : Type {7,8}_4 Order 336 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, R^-2 * S * R^3 * S * R^-1 * S * T ] N41.3 : Type {7,8}_3 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, S^8 ] N41.4 : Type {10,22}_55 Order 220 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^6 * R^3 * S^-2 * T * R^-1 * S^-1 * R * S^2 ] N42.1 : Type {5,6}_5 Order 600 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2 * R * S^-1 * R)^2 ] N42.2 : Type {6,8}_6 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, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T ] N42.3 : Type {6,8}_6 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^-1 * R^2 * S^-1 * R^3 * S^-1 * R * S^2 * T ] N43.1 : Type {4,45}_45 Order 360 mV = 15 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-45 ] N44.1 : Type {4,8}_7 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 * T * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N44.2 : 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^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^8, S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^2 ] N44.3 : 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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] N44.4 : 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^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] N44.5 : Type {8,8}_3 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 * S^-1 * R^-2 * S^-2 * T, R^8, S^8, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] N44.6 : Type {8,8}_8 Order 336 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^8, S^8, R * S^-1 * R^4 * S * R^-2 * T ] N45.1 : Type {6,46}_69 Order 276 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^-12 * R^3 * S^2 * T * S^-9 ] N46.1 : Type {3,10}_11 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^10, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-1 ] N46.2 : Type {3,10}_12 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^10, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-1 * R^-1 * S * T * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-3 * R * S^-1 ] N46.3 : Type {4,15}_15 Order 480 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, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-15 ] N46.4 : Type {4,48}_48 Order 384 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^48 ] N46.5 : Type {4,48}_48 Order 384 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^12 * R^2 * S * R^-1 * S^-1 * T * S^10 ] N46.6 : Type {5,6}_6 Order 660 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^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N46.7 : Type {8,10}_5 Order 320 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N46.8 : Type {8,10}_10 Order 320 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, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N47.1 : Type {3,8}_10 Order 2160 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^-3 * R^-1 * S^-3 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * T * S^-2 ] N47.2 : Type {4,8}_5 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^8, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N47.3 : Type {4,9}_9 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-9 ] N47.4 : Type {6,18}_9 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^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^5 ] N47.5 : Type {6,18}_9 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^-1 * R * S^-1 * R^-2 * S^3 * T ] N47.6 : Type {6,18}_3 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^-1 * R^-2 * S^-2 * T, (R * S^-1)^6 ] N49.1 : Type {4,51}_51 Order 408 mV = 17 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-51 ] N49.2 : Type {6,50}_75 Order 300 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^-13 * R^3 * S^2 * T * S^-10 ] N49.3 : Type {10,26}_65 Order 260 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^-7 * R^-4 * S^-1 * T * S^3 * R * S^-2 ] N49.4 : Type {14,18}_63 Order 252 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 * S^-5 * R^-5 * S^4 * T * R ] N50.1 : Type {3,14}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S, S^-1 * R^-1 * S * T * S^-1 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-2 * R * S^-1 ] N50.2 : Type {3,14}_9 Order 1008 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^-2 * R * S^-1 * R * S^2 * R^-1 * T * S^-1, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S ] N50.3 : Type {4,5}_12 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^-5, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * T * R * S * R^-1 ] N50.4 : Type {4,6}_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^6, (R * S^-1)^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, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S * T ] N50.5 : Type {4,7}_7 Order 896 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, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T * S ] N50.6 : Type {5,5}_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^-5, S^-5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S * R^-2 * S ] N50.7 : Type {5,6}_6 Order 720 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, R * T * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-1 ] N50.8 : Type {6,6}_6 Order 576 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^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] N50.9 : Type {6,15}_15 Order 360 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N51.1 : Type {3,13}_7 Order 1092 mV = 1 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^-1 * S * T, S^-13, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] N52.1 : Type {4,54}_27 Order 432 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^-14 * R^2 * S^-1 * R * S^2 * T * S^-10 ] N52.2 : Type {4,54}_54 Order 432 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^54 ] N52.3 : Type {6,8}_10 Order 480 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^-1 * R^-3 * S * R^-2 * S * T, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * T ] N52.4 : Type {6,8}_5 Order 480 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 * S^-1 * R^-2 * S^2 * R^-2 * T ] N52.5 : Type {6,28}_21 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^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^-2 * S^-4 * T ] N52.6 : Type {8,36}_9 Order 288 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^4 * R * S^-1 * R^2 * S^-3 * T * S ] N52.7 : Type {8,36}_18 Order 288 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^4 * R * S^-1 * R^-2 * S^-4 * T ] N53.1 : Type {6,20}_20 Order 360 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^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * T ] N53.2 : Type {6,54}_27 Order 324 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^-14 * R^3 * S^2 * T * S^-11 ] N55.1 : Type {4,57}_57 Order 456 mV = 19 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-57 ] N56.1 : Type {4,6}_9 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)^4, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * T * S^-1 * R * S^2 ] N56.2 : Type {4,6}_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^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] N56.3 : Type {4,10}_10 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 * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N56.4 : Type {6,12}_3 Order 432 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 * R^-2 * S^-2 * T, S^12 ] N56.5 : Type {7,7}_9 Order 504 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N56.6 : Type {12,24}_6 Order 288 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 * R^-4 * S * R^-1 * S^-1 * T ] N56.7 : Type {12,24}_3 Order 288 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-3)^2 ] N57.1 : Type {3,12}_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^12, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N57.2 : Type {3,12}_12 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^12, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * T * S^-1, S^2 * T * R * S^-2 * R * S^-3 * R * S^6 * R^-1 * S ] N57.3 : Type {4,6}_10 Order 1320 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 * R^-1 * S * R^-1 * T, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] N57.4 : Type {6,6}_5 Order 660 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N57.5 : Type {6,58}_87 Order 348 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^-15 * R^3 * S^2 * T * S^-12 ] N57.6 : Type {10,30}_15 Order 300 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^-8 * R^-3 * S^2 * T * S^-1 * R^-1 * S * R * S^-3 ] N58.1 : Type {3,18}_14 Order 1008 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)^2, S^-1 * T * R^-1 * S^2 * R * S^-2 * R^-1 * S^5 * R^-1 * S^-2 ] N58.2 : Type {3,18}_7 Order 1008 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^-1 * S * T, S^-1 * R^-1 * S^2 * R * S^-5 * R * S^-4 * R * T * S^-1 * R * S^-2 ] N58.3 : Type {4,18}_18 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^18 ] N58.4 : Type {4,60}_60 Order 480 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^60 ] N58.5 : Type {4,60}_60 Order 480 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^15 * R^2 * S * R^-1 * S^-3 * T * S^11 ] N58.6 : Type {6,6}_8 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^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] N58.7 : Type {8,12}_3 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1 * R * S^-1 * R)^2 ] N58.8 : Type {8,12}_6 Order 384 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^3 * T ] N58.9 : 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, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N58.10 : 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, (R * S^-1)^4, S^-2 * R^4 * S^-4, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N61.1 : Type {4,63}_63 Order 504 mV = 21 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-63 ] N61.2 : Type {6,62}_93 Order 372 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^-16 * R^-2 * S^-3 * T * S * R * S^-11 ] N61.3 : Type {14,22}_77 Order 308 mV = 11 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * T * S^-2 * R^-7 * S^6 ] N62.1 : Type {4,6}_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^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * T * S * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] N62.2 : Type {5,10}_15 Order 600 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, R * S^-2 * R * S^-1 * R^2 * S^4 * T ] N62.3 : Type {6,6}_5 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, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * T * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 ] N62.4 : Type {6,6}_6 Order 720 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 * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T ] N62.5 : Type {6,12}_12 Order 480 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^2 * S^-1 * R^3 * S^-4 * T ] N62.6 : Type {6,12}_12 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^3 * S * R^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N62.7 : Type {10,15}_3 Order 360 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R^-2 * S)^3, R^10 ] N64.1 : Type {4,66}_66 Order 528 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^66 ] N64.2 : Type {4,66}_33 Order 528 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^-17 * R^2 * S^-1 * R * S^2 * T * S^-13 ] N64.3 : Type {7,9}_3 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, S^-9 ] N64.4 : Type {7,9}_7 Order 504 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N64.5 : Type {7,9}_7 Order 504 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^2 * S^-1 * R^-3 * S^4 * T ] N65.1 : Type {4,18}_4 Order 648 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 * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * T * S * R^-1 * S ] N65.2 : Type {5,8}_8 Order 720 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^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T ] N65.3 : Type {5,8}_4 Order 720 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, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S * R^-2 * S ] N65.4 : Type {6,66}_33 Order 396 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^-17 * R^-2 * S^-3 * T * S * R * S^-12 ] N65.5 : Type {10,34}_85 Order 340 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^-9 * R^-4 * S^-1 * T * R^-1 * S^-7 ] N65.6 : Type {18,18}_9 Order 324 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, S^-1 * R^3 * S * T * S^-3 * R^-6 * S^-1 * T * S^3 * T ] N66.1 : Type {4,20}_10 Order 640 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 * T * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] N66.2 : Type {4,20}_5 Order 640 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N66.3 : Type {4,20}_20 Order 640 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, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^20 ] N66.4 : Type {4,20}_20 Order 640 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^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-6 ] N66.5 : Type {5,6}_5 Order 960 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N67.1 : Type {4,69}_69 Order 552 mV = 23 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-69 ] N68.1 : Type {6,36}_9 Order 432 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^-1 * T * S * R * S^-2 * R^2 * S^-5 ] N69.1 : Type {6,70}_105 Order 420 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^-18 * R^-2 * S^-3 * T * S * R * S^-13 ] N70.1 : Type {3,9}_17 Order 2448 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 * T * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 ] N70.2 : Type {4,72}_72 Order 576 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^72 ] N70.3 : Type {4,72}_72 Order 576 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^18 * R^2 * S * R^-1 * S^-3 * T * S^14 ] N70.4 : Type {6,20}_20 Order 480 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^-2 * R * S^-1 * R * S^-3 * T ] N70.5 : Type {6,20}_20 Order 480 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^-1 * S^2 * R * S^-1 * R * S^3 * T ] N70.6 : Type {8,48}_48 Order 384 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^-6 * R^2 * S^-4 * T * R^-1 * S^-2 ] N70.7 : Type {8,48}_48 Order 384 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^-2 * T * S^4 * R^2 * S * R^-1 * S^-5 ] N72.1 : 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^-4 * R^-2 * S^2 * R^-2 * T ] N72.2 : 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, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N72.3 : Type {6,8}_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^8, (R * S^-2)^4, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-1 * T * S ] N72.4 : Type {6,8}_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^8, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N72.5 : Type {6,8}_7 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^8, R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * T ] N72.6 : Type {6,8}_14 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^8, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N72.7 : 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^8, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N72.8 : Type {6,8}_6 Order 672 mV = 2 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^-1 * R * S^-3 * R * S^3 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] N72.9 : Type {9,9}_9 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, R * S^-2 * R^3 * S^-3 * T, S^-9 ] N73.1 : Type {4,75}_75 Order 600 mV = 25 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-75 ] N73.2 : Type {6,74}_111 Order 444 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^-19 * R^-2 * S^-3 * T * S * R * S^-14 ] N73.3 : Type {10,38}_95 Order 380 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^-10 * R^-2 * S^-3 * T * S * R^3 * S^-5 ] N73.4 : Type {14,26}_91 Order 364 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^7 * R^-3 * S^-3 * T * S * R^4 * S^2 ] N74.1 : Type {3,10}_8 Order 2160 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^-2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * T * S^-2 ] N74.2 : Type {5,10}_5 Order 720 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 * R * S^-1 * R)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N76.1 : Type {4,78}_39 Order 624 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^-20 * R^2 * S^-1 * R * S^2 * T * S^-16 ] N76.2 : Type {4,78}_78 Order 624 mV = 26 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^78 ] N77.1 : Type {4,10}_20 Order 1000 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^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ] N77.2 : Type {6,28}_28 Order 504 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^-6 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-4 ] N77.3 : Type {6,78}_39 Order 468 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^-20 * R^-2 * S^-3 * T * S * R * T * S^2 * T * S^-13 ] N77.4 : Type {10,10}_5 Order 500 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, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T ] N78.1 : Type {10,12}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * T ] N78.2 : Type {10,12}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] N78.3 : Type {10,12}_4 Order 480 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, S^-3 * R^3 * S * R^-2 * T ] N78.4 : Type {10,12}_4 Order 480 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, R^-2 * S * R^3 * S^3 * T ] N79.1 : Type {4,81}_81 Order 648 mV = 27 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-81 ] N79.2 : Type {6,14}_3 Order 588 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 * R^-2 * S^-2 * T, S^-2 * R * S^-1 * R^-2 * S^7 * R^-2 * S^-1 * R * S^-1 ] N80.1 : Type {12,18}_9 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)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^5 ] N81.1 : Type {6,82}_123 Order 492 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^-21 * R^-2 * S^-3 * T * S * R * S^-16 ] N81.2 : Type {10,42}_105 Order 420 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^-11 * R^-2 * S^-3 * T * S * R^3 * S^-6 ] N81.3 : Type {18,22}_99 Order 396 mV = 11 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * T * R^3 * S * T * S^-3 * R^-4 * S^-3 * T * S * R^2 * S ] N82.1 : Type {4,9}_9 Order 1152 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^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N82.2 : 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^-3 * R * S^-1 * R * S^-4 * T ] N82.3 : 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^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2)^4 ] N82.4 : 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^24 ] N82.5 : 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, (R * S^-2)^4, (R * S^-5)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S, S^-1 * R^-1 * T * S^-2 * R^-1 * S^2 * R * S^-7 ] N82.6 : Type {4,84}_84 Order 672 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^84 ] N82.7 : Type {4,84}_84 Order 672 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^21 * R^2 * S * R^-1 * S^-3 * T * S^17 ] N82.8 : 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, (R * S^-1)^4, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, (S^-1 * R^2 * S^-1)^3 ] N82.9 : 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, (R * S^-1)^4, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-3 * R^2 * S^4 * R^-1 ] N82.10 : 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, (R * S^-1)^4, S^8, S^-1 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S * T ] N83.1 : Type {4,6}_12 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^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * T * S^-1, S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] N83.2 : Type {6,6}_9 Order 972 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^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] N83.3 : Type {6,12}_12 Order 648 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N83.4 : Type {6,30}_15 Order 540 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^-9 * R * S * R^-1 * S^-1 * T * R^-1 * S^-4 ] N84.1 : Type {6,44}_33 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^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * T * S^-5 * R^-2 * S^-6 ] N85.1 : Type {4,87}_87 Order 696 mV = 29 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-87 ] N85.2 : Type {6,86}_129 Order 516 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^-22 * R^3 * S^2 * T * S^-19 ] N85.3 : Type {14,30}_105 Order 420 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^-8 * R^-3 * S^2 * T * S^-1 * R^-3 * S^3 * R * S^-1 ] N86.1 : Type {3,8}_21 Order 4032 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^-1 * T * S * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] N86.2 : Type {3,20}_15 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^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-1 ] N86.3 : Type {4,6}_24 Order 2016 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 * R * S^-1 * R^2 * S * R^-1 * S * T ] N86.4 : Type {4,8}_28 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 * S^-1 * T * R * S^-3 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] N86.5 : Type {4,8}_28 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^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^8 ] N86.6 : Type {4,8}_12 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^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N86.7 : Type {4,8}_12 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 * T * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 ] N86.8 : Type {4,25}_25 Order 800 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, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-25 ] N86.9 : Type {6,10}_15 Order 720 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, S * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^2 ] N86.10 : Type {6,10}_30 Order 720 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, S^2 * R * S^-2 * R^-2 * S^3 * R^-1 * S^-1 * T * S ] N86.11 : Type {6,10}_12 Order 720 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^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, (R * S^-3 * R)^2 ] N86.12 : Type {6,24}_3 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 * R^-2 * S^-2 * T, (R^-1 * S^3 * R^-1 * S * R^-1 * S)^2 ] N86.13 : 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^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-1 * R^-3 * S^2 * R^-2 * S * R^-2 * T ] N86.14 : Type {8,8}_3 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 * S^-1 * R^-2 * S^-2 * T, R^8, S^8 ] N86.15 : Type {8,8}_8 Order 672 mV = 2 mF = 1 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^-2 * S * R^3 * S * R^-1 * S * T ] N86.16 : Type {10,20}_12 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-3 * R^2 * S * R^-1 * T, R^10 ] N86.17 : Type {10,20}_12 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N88.1 : Type {4,90}_90 Order 720 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^90 ] N88.2 : Type {4,90}_45 Order 720 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^-23 * R^2 * S^-1 * R * S * T * S^-20 ] N88.3 : Type {8,60}_30 Order 480 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^-8 * R^2 * S^-1 * R * S^2 * T * S^-4 ] N88.4 : Type {8,60}_15 Order 480 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^-8 * R * S^4 * T * R * S * R^-1 * S^-2 ] N89.1 : Type {6,90}_45 Order 540 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^-23 * R^3 * S^2 * T * S^-20 ] N89.2 : Type {10,46}_115 Order 460 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^-12 * R^5 * S^6 * T * S^-5 ] N90.1 : 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 * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N90.2 : 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R^2 * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * T ] N90.3 : Type {6,14}_14 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^3 * S * R^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-4 * R^-2 * S^-4 * R * S^2 ] N90.4 : Type {6,14}_7 Order 672 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, S * T * S^-3 * R^3 * S^-1 * R^2 * S^2 ] N90.5 : Type {8,10}_5 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 * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N90.6 : 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 * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T ] N90.7 : 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 * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T ] N90.8 : 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 * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N90.9 : 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, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N90.10 : Type {12,20}_5 Order 480 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N91.1 : Type {4,93}_93 Order 744 mV = 31 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-93 ] N92.1 : Type {4,8}_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^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, 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^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N92.2 : 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^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] N92.3 : Type {4,8}_5 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N92.4 : Type {6,12}_15 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^-3)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N92.5 : Type {8,8}_5 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^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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N93.1 : Type {3,12}_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^12, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * T * S^-2 ] N93.2 : Type {3,12}_7 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^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^12 ] N93.3 : Type {4,6}_7 Order 2184 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 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T ] N93.4 : Type {6,94}_141 Order 564 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^-24 * R^3 * S^2 * T * S^-21 ] N94.1 : Type {4,96}_96 Order 768 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^96 ] N94.2 : Type {4,96}_96 Order 768 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^24 * R^2 * S * R^-1 * S^-3 * T * S^20 ] N94.3 : Type {8,18}_9 Order 576 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^2 * R * S^-4 * R^2 * S^-3 * T ] N96.1 : Type {12,40}_15 Order 480 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^-1 * S^2 * R^-2 * S^3 * T ] N96.2 : Type {12,40}_30 Order 480 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^-4 * S^-2 * R * S * T ] N97.1 : Type {3,9}_9 Order 3420 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 * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T ] N97.2 : Type {3,9}_10 Order 3420 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 * S^-1)^5, S^2 * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3 * R * S ] N97.3 : Type {4,99}_99 Order 792 mV = 33 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-99 ] N97.4 : Type {6,98}_147 Order 588 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^-25 * R^-2 * S^-3 * T * S * R * S^-20 ] N97.5 : Type {10,12}_12 Order 600 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, S * T * R^2 * S^-1 * R^-3 * S * R^-1 * S^-2 * R * S ] N97.6 : Type {10,50}_25 Order 500 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^-13 * R^-3 * S^2 * T * S^-2 * R^2 * S^-8 ] N97.7 : Type {14,34}_119 Order 476 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^-9 * R^-2 * S^-3 * T * S * R^4 * T * S^-2 * T * R * S^-2 ] N97.8 : Type {18,26}_117 Order 468 mV = 13 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * T * S^2 * R^-5 * S^-3 * T * S * R^4 * T * S^-2 ] N98.1 : 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, S^-7, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N98.2 : Type {4,7}_7 Order 1792 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^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N98.3 : 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^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^12, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N98.4 : Type {4,20}_24 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^-2 * R * S^-1)^2, S * R^-1 * S * R * S^-3 * R^-1 * S * R^-1 * S^-3 * T ] N98.5 : Type {4,20}_24 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^2 * S * R^-1 * T, S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^4 ] N98.6 : Type {5,5}_12 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^-5, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 ] N98.7 : 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, (R * S^-1)^4, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] N98.8 : Type {6,7}_9 Order 1008 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^-1 * S * R * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N98.9 : Type {6,7}_18 Order 1008 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^-1 * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N98.10 : Type {12,12}_3 Order 576 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 * R^-2 * S^-2 * T, (R * S^-1)^4, R^12 ] N98.11 : 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^-1 * R^3)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R * S^-1 * R^-4 * S^2 * R^-2 * T ] N98.12 : Type {20,20}_3 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^-1 * R^-2 * S^-2 * T, (R * S^-1 * R^3)^2, (R * S^-4)^2 ] N100.1 : Type {4,102}_51 Order 816 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^-26 * R^2 * S^-1 * R * S * T * S^-23 ] N100.2 : Type {4,102}_102 Order 816 mV = 34 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^102 ] N100.3 : Type {6,52}_39 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^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^5 * R^-2 * S^6 * T * R * S^2 ] N101.1 : Type {4,10}_6 Order 1320 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, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N101.2 : Type {4,10}_12 Order 1320 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^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N101.3 : Type {4,22}_4 Order 968 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 * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * T * S * R^-1 * S * R^-1 * S ] N101.4 : Type {6,36}_36 Order 648 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^9 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^5 ] N101.5 : Type {6,36}_36 Order 648 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 * R * S^-2 * R^3 * S^2 * R^-1 * S^-1 * T ] N101.6 : Type {6,36}_36 Order 648 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^-1 * R^2 * S^-1 * R^3 * S^4 * T ] N101.7 : Type {6,102}_51 Order 612 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^-26 * R^3 * S^2 * T * S^-23 ] N101.8 : Type {8,10}_10 Order 720 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, R * S^-1 * R^4 * S * R^-2 * T, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N101.9 : Type {8,10}_3 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (S^-1 * R)^5 ] N101.10 : Type {9,12}_3 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-9, (R * S^-2 * R * S^-1)^2 ] N101.11 : Type {9,12}_9 Order 648 mV = 2 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, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 * T ] N101.12 : Type {22,22}_11 Order 484 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, S * R^-3 * S^-1 * T * S^3 * R^8 * S^6 ] N102.1 : Type {10,15}_5 Order 600 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] N103.1 : Type {4,105}_105 Order 840 mV = 35 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-105 ] N104.1 : Type {8,14}_3 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1 * R)^4 ] N104.2 : Type {8,14}_6 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] N104.3 : Type {8,14}_4 Order 672 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^-2 * S * R^3 * S^3 * T, (R * S^-2 * R * S^-1)^2 ] N104.4 : Type {8,14}_4 Order 672 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^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S^4 * T ] N105.1 : Type {6,106}_159 Order 636 mV = 53 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^-27 * R^-2 * S^-3 * T * R^-1 * S^-23 ] N105.2 : Type {10,54}_135 Order 540 mV = 27 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 * R^4 * S^-1 * T * S^3 * R^-1 * S^-9 ] N106.1 : Type {3,14}_7 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^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^14 ] N106.2 : Type {3,14}_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^14, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N106.3 : Type {3,14}_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^14, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-2 * R * S, S * T * R * S^-4 * R * S^-2 * R^-1 * S^3 * R^-1 * S^4 ] N106.4 : Type {3,14}_13 Order 2184 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 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R * T * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-3 * R * S * T * S^-1 * R * S^-1 ] N106.5 : Type {3,14}_26 Order 2184 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^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N106.6 : Type {4,30}_30 Order 960 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^30 ] N106.7 : Type {4,30}_15 Order 960 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^-4)^2, R^-1 * S * R * S^-6 * R^-2 * S^-6 * T * R^-1 * S^-2 ] N106.8 : Type {4,30}_30 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^30 ] N106.9 : Type {4,108}_108 Order 864 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^108 ] N106.10 : Type {4,108}_108 Order 864 mV = 36 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 * R^2 * S * R^-1 * S^-3 * T * S^23 ] N106.11 : Type {6,7}_13 Order 1092 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^-2 * S)^3, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-2 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-2 ] N106.12 : Type {6,16}_3 Order 768 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 * R^-2 * S^-2 * T, S^5 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^5 ] N106.13 : Type {8,20}_20 Order 640 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^4 * R^-4 * S^6 ] N106.14 : Type {8,20}_20 Order 640 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^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^4 * R^-4 * S^6 ] N106.15 : Type {8,20}_10 Order 640 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^-4)^2, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N106.16 : Type {8,20}_5 Order 640 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^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N106.17 : Type {8,72}_72 Order 576 mV = 24 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^2 * S^-3 * T * S^5 ] N106.18 : Type {8,72}_72 Order 576 mV = 24 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^10 * R^-1 * S^-1 * R * S * T * S^-3 * R * S^3 ] N107.1 : Type {4,11}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-11, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] N109.1 : Type {4,111}_111 Order 888 mV = 37 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-111 ] N109.2 : Type {6,110}_165 Order 660 mV = 55 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 * R^3 * S^6 * T * S^-21 ] N109.3 : Type {14,38}_133 Order 532 mV = 19 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^-10 * R^-3 * S^2 * T * R * S^2 * R^2 * S^2 * R * S^-3 ] N110.1 : Type {4,10}_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, (R * S^-1)^4, S^10, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^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, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * T * S ] N110.2 : 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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N110.3 : 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^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * T ] N110.4 : Type {6,30}_30 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-4)^2, S * R * S^-2 * R^3 * S^3 * R^-2 ] N110.5 : Type {6,30}_15 Order 720 mV = 6 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 * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * T ] N110.6 : Type {10,10}_4 Order 720 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 * S^-1)^4, R^10, S^10, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^-1 * R * S^-5 * R^-1 * S * R^-3 * T ] N110.7 : Type {10,10}_8 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 * S^-2 * R)^2, R^10, R^-2 * S * R^3 * S * R^-1 * S * T, (S^-1 * R)^5 ] N112.1 : 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 * T * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] N112.2 : 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 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] N112.3 : Type {4,12}_10 Order 1320 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^-1 * R^2 * S * R^-1 * T, S^12, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N112.4 : Type {4,12}_5 Order 1320 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.5 : Type {4,114}_57 Order 912 mV = 38 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^-29 * R^2 * S^-1 * R * S^2 * T * S^-25 ] N112.6 : Type {4,114}_114 Order 912 mV = 38 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^114 ] N112.7 : Type {6,6}_10 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^6, (S * R^-1 * S)^3, S^-1 * R^2 * S^-2 * R^-2 * S * R^-1 * S * R^-2 * S^-1, R * T * S * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 ] N112.8 : Type {6,6}_5 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^6, (S * R^-1 * S)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.9 : Type {6,6}_5 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, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.10 : 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, (S^-1 * R)^5, R * T * S * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 ] N113.1 : Type {6,114}_57 Order 684 mV = 57 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^-29 * R^3 * S^6 * T * S^-22 ] N113.2 : Type {10,58}_145 Order 580 mV = 29 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^-15 * R^5 * S^3 * T * S^-11 ] N113.3 : Type {18,30}_45 Order 540 mV = 15 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^8 * S^-4 * T * S^2 * R^-1 * S^-1 ] N114.1 : Type {4,12}_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, (R * S^-5)^2, S^12, S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N114.2 : Type {4,12}_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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, (R * S^-5)^2, S^12, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N114.3 : Type {6,9}_7 Order 1008 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^-1 * T * S * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R ] N114.4 : Type {6,9}_14 Order 1008 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^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N114.5 : 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N114.6 : 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 * R * S^-2 * R^3 * S * R^-1 * S^-2 * T ] N114.7 : 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, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S * R * S^-1 * R^4 * S^2 * R^-3, R^3 * S^-1 * R^3 * S^5 ] N114.8 : 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, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R * S^-1 * R^4 * S^2 * R^-3, R^3 * S^-1 * R^3 * S^5 ] N114.9 : 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N114.10 : 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^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^12 ] N115.1 : Type {4,117}_117 Order 936 mV = 39 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-117 ] N116.1 : Type {3,10}_9 Order 3420 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 * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 ] N116.2 : Type {6,60}_15 Order 720 mV = 15 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^-8 * R * S^5 * T * R * S * R^-1 * S^-1 ] N116.3 : Type {10,12}_6 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T ] N117.1 : Type {6,118}_177 Order 708 mV = 59 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 * R^3 * S^6 * T * S^-23 ] N118.1 : Type {4,120}_120 Order 960 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^120 ] N118.2 : Type {4,120}_120 Order 960 mV = 40 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 * R^2 * S * R^-1 * S^-3 * T * S^26 ] N119.1 : Type {4,7}_6 Order 2184 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^-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^2 * S * R^-1 * S * R^-1 * S * T ] N119.2 : Type {4,7}_14 Order 2184 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^-3 * R * S^-2)^2, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] N119.3 : Type {4,7}_12 Order 2184 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^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * T * S * R^-1 * S * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 ] N119.4 : Type {6,42}_21 Order 756 mV = 7 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^-11 * R * S * R^-1 * S^-1 * R * T * S^-8 ] N119.5 : Type {7,7}_7 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, (S * R^-1 * S)^3, R * S^-1 * R^-1 * S * R^3 * S^-1 * R * S^-1 * R * S^-1 * R, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N119.6 : Type {7,7}_7 Order 1092 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^-2 * R)^2, S^-7, R^3 * S^-1 * R^3 * S * R^-2 * S * T ] N119.7 : Type {7,7}_7 Order 1092 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^-1 * R^2 * S^-2 * R * S^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 ] N121.1 : Type {4,123}_123 Order 984 mV = 41 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-123 ] N121.2 : Type {6,122}_183 Order 732 mV = 61 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^-31 * R^2 * S^-5 * R^-1 * S * T * S^-24 ] N121.3 : Type {8,14}_8 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^3 * S^-3 * T ] N121.4 : Type {8,14}_8 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^-1 * R * S * R^-2, R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-2 * T ] N121.5 : Type {10,62}_155 Order 620 mV = 31 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 * R^5 * S^3 * T * S^-12 ] N121.6 : Type {14,42}_21 Order 588 mV = 21 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^-11 * R^-6 * S^-1 * T * S^5 * R * S^-4 ] N121.7 : Type {22,26}_143 Order 572 mV = 13 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * T * S^-3 * R^-11 * S^7 ] N122.1 : Type {4,6}_15 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^-2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S, R^-1 * S * R * T * S * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] N122.2 : 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^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N122.3 : 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^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N122.4 : Type {6,6}_5 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N122.5 : 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 * R * S^-2 * R^-3 * S^2 * R^-1 * S^-1 * R * T ] N122.6 : Type {6,8}_8 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^3 * S * R^-1 * T, S^8, S * R * S^-2 * R * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 * S^2 ] N122.7 : Type {6,8}_4 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^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S * T ] N122.8 : Type {6,8}_8 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^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N124.1 : Type {4,126}_126 Order 1008 mV = 42 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^126 ] N124.2 : Type {4,126}_63 Order 1008 mV = 42 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^-32 * R^2 * S^-1 * R * S * T * S^-29 ] N124.3 : Type {8,84}_21 Order 672 mV = 28 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^2 * S^-1 * R * S * T * S^-8 ] N124.4 : Type {8,84}_42 Order 672 mV = 28 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 * S * R^-1 * S^-1 * T * R^-1 * S^-7 ] N125.1 : Type {6,44}_44 Order 792 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 * R^2 * S * R^-1 * S^-1, S^11 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^7 ] N125.2 : Type {6,126}_63 Order 756 mV = 63 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 * R^2 * S^-5 * R^-1 * S * T * S^-25 ] N126.1 : Type {4,35}_35 Order 1120 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-35 ] N127.1 : Type {4,129}_129 Order 1032 mV = 43 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-129 ] N128.1 : Type {4,18}_9 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * T ] N128.2 : Type {4,18}_18 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] N129.1 : Type {6,130}_195 Order 780 mV = 65 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^-33 * R^2 * S^-5 * R^-1 * S * T * S^-26 ] N129.2 : Type {10,66}_165 Order 660 mV = 33 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^-17 * R^-4 * S^-1 * T * R^-1 * S^-3 * T * S^2 * T * S^-10 ] N129.3 : Type {18,34}_153 Order 612 mV = 17 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^9 * R^-7 * S^-1 * T * S^5 * R * S^-1 * R^-1 * S ] N130.1 : 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^12 ] N130.2 : 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, (R * S^-1)^4, (R * S^-2)^4, S^12, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] N130.3 : 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^36 ] N130.4 : 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, (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^-8 * R^-1 * S * R^-1 * S^-2 * R * S^2 * T * S^-5 ] N130.5 : Type {4,132}_132 Order 1056 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^132 ] N130.6 : Type {4,132}_132 Order 1056 mV = 44 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 * R^2 * S * R^-1 * S^-3 * T * S^29 ] N130.7 : 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, (R * S^-2)^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R^2 * S^-1 * R * S^-2 * R^-1 * S^2 * R^-2 * S^-1 * T * S ] N130.8 : Type {5,6}_5 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4 ] N130.9 : Type {5,6}_8 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, (R * S^-1)^4, 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^-1 * S * R * S^-2 * R^-2 * S^3 * R^-1 * S^2 * R^-1 * T ] N130.10 : Type {6,35}_35 Order 840 mV = 7 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 * R^-2 * S * R^-2 * S^5, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N130.11 : 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^3 * S * R^-1 * S^-2 * T ] N130.12 : 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^-1 * S^2 * R * S^-1 * R * S^3 * T ] N130.13 : 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, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, (R * S^-6 * R)^2 ] N130.14 : 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, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^4 * T * S^-2 ] N132.1 : Type {4,30}_5 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6, (R * S^-5)^2 ] N132.2 : Type {6,68}_51 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^-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 * S * T * S^-5 ] N133.1 : Type {4,135}_135 Order 1080 mV = 45 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-135 ] N133.2 : Type {6,134}_201 Order 804 mV = 67 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 * R^3 * S^6 * T * S^-27 ] N133.3 : Type {14,46}_161 Order 644 mV = 23 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^-12 * R^-6 * S^-6 * T * R * S^-5 ] N134.1 : Type {3,10}_33 Order 3960 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^2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S, S^-3 * R * S^-4 * R * S^5 * R^-1 * T * S^-1 ] N134.2 : Type {3,17}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N134.3 : Type {5,10}_11 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^10, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N134.4 : Type {5,10}_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, (R * S^-1)^4, S^10, S^-4 * R^-2 * S * R^-2 * S * T ] N134.5 : Type {5,10}_10 Order 1320 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, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N134.6 : Type {5,10}_5 Order 1320 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N134.7 : Type {6,14}_9 Order 1008 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^-1 * S * R * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N134.8 : Type {6,14}_18 Order 1008 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^-1 * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N134.9 : Type {8,10}_24 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, (R * S^-2 * R * S^-1)^2, S^10, S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * T ] N134.10 : Type {8,10}_24 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, (R * S^-2 * R * S^-1)^2, S^10, S^3 * R * S^-1 * R^2 * S^-3 * R * T ] N134.11 : Type {10,30}_6 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, 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 * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N134.12 : Type {10,30}_3 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^10, (R * S^-4)^2 ] N136.1 : Type {4,138}_69 Order 1104 mV = 46 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^-35 * R^2 * S^-1 * R * S^2 * T * S^-31 ] N136.2 : Type {4,138}_138 Order 1104 mV = 46 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^138 ] N136.3 : Type {12,56}_42 Order 672 mV = 14 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 * S^-1 * R^-2 * S^-4 * T ] N136.4 : Type {12,56}_21 Order 672 mV = 14 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^-4 * R^4 * S^-1 * R * S^2 * T ] N137.1 : Type {4,8}_15 Order 2160 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 * R^-1 * S * R^-1 * T, S^2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 ] N137.2 : Type {4,9}_9 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^-9, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N137.3 : Type {6,8}_8 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^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, R^-1 * T * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1 ] N137.4 : Type {6,18}_9 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^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^3 * R * S^-2 * R * S^3 * R^-1 * S^-1 * T ] N137.5 : Type {6,18}_9 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^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^3 * R * S^-2 * R * S^3 * R^-1 * S^-1 * T ] N137.6 : Type {6,18}_9 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^-3 * R)^2, R * S^-2 * R^-3 * S^2 * R^-1 * S * T ] N137.7 : Type {6,18}_3 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 * S^-1 * R^-2 * S^-2 * T, S^-3 * R * S^-1 * R^-2 * S^8 * R^-2 * S^-1 * R * S^-3 ] N137.8 : Type {6,18}_9 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^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1)^6, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N137.9 : Type {6,30}_3 Order 900 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 * R^-2 * S^-2 * T, (R * S^-1)^10 ] N137.10 : Type {6,138}_69 Order 828 mV = 69 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^-35 * R^3 * S^6 * T * S^-28 ] N137.11 : Type {10,70}_35 Order 700 mV = 35 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 * R^4 * S^-2 * T * S * R * S^-1 * T * S^2 * T * S^-11 ] N139.1 : Type {4,141}_141 Order 1128 mV = 47 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-141 ] N140.1 : Type {12,30}_15 Order 720 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, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-8 * R^3 * S^3 * T * S^-1 * R * S^2 * R^-1 * S^-1 ] N141.1 : Type {6,142}_213 Order 852 mV = 71 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 * R^3 * S^6 * T * S^-29 ] N141.2 : Type {22,30}_165 Order 660 mV = 15 mF = 11 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 * T * S^-3 * R^-2 * S^-3 ] N142.1 : Type {3,26}_14 Order 2184 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^-2 * R * S^-3 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N142.2 : Type {3,26}_7 Order 2184 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^-1 * S * T, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] N142.3 : Type {4,144}_144 Order 1152 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^144 ] N142.4 : Type {4,144}_144 Order 1152 mV = 48 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 * R^2 * S * R^-1 * S^-3 * T * S^32 ] N142.5 : Type {6,8}_8 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, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, S * T * R * S^-4 * R^2 * S^2 * R^-1 * S^-1 * R * S^2 ] N142.6 : Type {6,8}_8 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, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N142.7 : Type {6,8}_12 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, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-3 * R * S^-1)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * T ] N142.8 : Type {6,8}_12 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^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] N142.9 : Type {6,10}_10 Order 1200 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, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N142.10 : Type {6,10}_5 Order 1200 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] N142.11 : Type {6,13}_7 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S * R^-1 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N142.12 : Type {6,18}_7 Order 1008 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^-1 * T * S * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R ] N142.13 : Type {6,18}_14 Order 1008 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^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N142.14 : Type {6,24}_24 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^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N142.15 : Type {6,24}_24 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^-1 * R * S^-1 * R)^2, S * R^2 * S^-1 * R^3 * S^-4 * T, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N142.16 : Type {6,24}_24 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^3 * S * R^-1 * T, (R * S^-5)^2 ] N142.17 : Type {6,24}_24 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^-2 * R)^2, (R * S^-5)^2, R * T * S * R * S^-2 * R^-2 * S * R^-1 * S^4 ] N142.18 : Type {8,96}_96 Order 768 mV = 32 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 * S^-1 * R^2 * S^-3 * T * S^8 ] N142.19 : Type {8,96}_96 Order 768 mV = 32 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^-1 * S^-4 * T * R^-1 * S^-1 * R * S^7 ] N144.1 : Type {18,20}_45 Order 720 mV = 5 mF = 3 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^-1 * S * R * S^-1 * R^-4 * S^-1 * R^3 * S * T * S^-1 ] N145.1 : Type {4,26}_4 Order 1352 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^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-4 * T * S * R^-1 * S^4 * R^-1 * S^-1 ] N145.2 : Type {4,147}_147 Order 1176 mV = 49 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-147 ] N145.3 : Type {5,12}_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, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N145.4 : Type {5,12}_5 Order 1320 mV = 2 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N145.5 : Type {5,12}_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, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^2 * S^4 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N145.6 : Type {5,12}_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, S^12, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S^3 * R^-2 * S ] N145.7 : Type {6,146}_219 Order 876 mV = 73 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^-37 * R^3 * S^6 * T * S^-30 ] N145.8 : Type {10,74}_185 Order 740 mV = 37 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^-19 * R^-4 * S^-1 * T * R^-1 * S^-3 * T * S^2 * T * S^-12 ] N145.9 : Type {14,50}_175 Order 700 mV = 25 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^-13 * R^-6 * S^-1 * T * S^4 * R^-1 * S^-7 ] N145.10 : Type {18,38}_171 Order 684 mV = 19 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^-10 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 ] N145.11 : Type {26,26}_13 Order 676 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^3 * T * S^-1 * R^-11 * S^2 * T * S^-2 * T * S^3 ] N146.1 : Type {3,14}_9 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^14, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^2 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] N146.2 : 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, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N146.3 : Type {4,40}_40 Order 1280 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^40 ] N146.4 : Type {4,40}_40 Order 1280 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^-4)^2, S^10 * R^2 * S^2 * R^-1 * S^-1 * R * S * T * S^-2 * R * S^4 ] N146.5 : Type {4,40}_40 Order 1280 mV = 8 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 * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^3 * R^-1 * S^-1 * T * S ] N146.6 : Type {4,40}_40 Order 1280 mV = 8 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^-1 * S * R * S^-2 * R^2 * S^-3 * R * S * T * S^-1 ] N146.7 : Type {5,6}_6 Order 2160 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^-2)^4, S^2 * R^2 * S^-2 * R * S^-1 * R * S^-2 * R^2 * S^-1 * T ] N146.8 : Type {6,6}_6 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, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N146.9 : Type {6,21}_21 Order 1008 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 * R * S^-1 * R)^2, S^-4 * R^-2 * S^2 * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T ] N146.10 : Type {7,14}_18 Order 1008 mV = 2 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)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N146.11 : Type {7,14}_9 Order 1008 mV = 2 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)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T ] N146.12 : Type {7,14}_18 Order 1008 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^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N146.13 : Type {7,14}_9 Order 1008 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^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-3 * R)^2 ] N146.14 : Type {12,12}_12 Order 864 mV = 1 mF = 1 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N147.1 : Type {3,7}_15 Order 12180 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^2 * T * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] N148.1 : Type {4,150}_75 Order 1200 mV = 50 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^-38 * R^2 * S^-1 * R * S^2 * T * S^-34 ] N148.2 : Type {4,150}_150 Order 1200 mV = 50 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^150 ] N148.3 : Type {6,76}_57 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^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-10 * R * S^5 * T * R * S * R^-1 * S^-3 ] N149.1 : Type {6,52}_52 Order 936 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 * R^2 * S * R^-1 * S^-1, S^13 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^9 ] N149.2 : Type {6,150}_75 Order 900 mV = 75 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 * R^3 * S^6 * T * S^-31 ] N149.3 : Type {8,12}_21 Order 1008 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, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * T * S^-1 * R^-4 * S^-1 * R^3 * S * R^-1 ] N150.1 : Type {6,40}_40 Order 960 mV = 8 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^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N150.2 : Type {6,40}_40 Order 960 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 * S^-1 * R * S^-3 * T ] N150.3 : Type {6,40}_15 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^-1 * R^3 * S^-1 * R * S * R^-1, S^-2 * R * S^-1 * R^-2 * S^4 * T ] N150.4 : Type {8,15}_15 Order 960 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, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-15 ] N150.5 : Type {8,15}_30 Order 960 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, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-15 ] N150.6 : Type {10,21}_35 Order 840 mV = 7 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 * T * S^-4 * R^-1 * S * R^-2 * S * R^-2, S^-1 * R^-1 * S * R^-4 * S^-1 * R^3 * S * T * R ] N151.1 : Type {4,153}_153 Order 1224 mV = 51 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-153 ] N152.1 : Type {6,8}_4 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2)^4, R^-1 * T * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^-3 * R^2 * S^-1 ] N152.2 : Type {6,8}_30 Order 1440 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^-1 * R^-3 * S * R^-2 * S * T ] N152.3 : Type {6,8}_15 Order 1440 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^-2 * R * S * R^-1 * T ] N152.4 : Type {6,8}_10 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^8, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T ] N152.5 : Type {6,8}_10 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^8, S * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * T * R * S^2 ] N153.1 : Type {6,154}_231 Order 924 mV = 77 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^-39 * R^3 * S^6 * T * S^-32 ] N153.2 : Type {10,78}_195 Order 780 mV = 39 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 * R^3 * S^3 * T * S^-1 * R^-2 * T * S^2 * T * S^-13 ] N154.1 : Type {4,42}_42 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^42 ] N154.2 : Type {4,156}_156 Order 1248 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^156 ] N154.3 : Type {4,156}_156 Order 1248 mV = 52 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 * R^2 * S * R^-1 * S^-3 * T * S^35 ] N154.4 : Type {7,18}_6 Order 1008 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 * R^3 * S * R^-1 * S^-1 * R, S^-5 * R^2 * S * R^-1 * S^2 * T ] N154.5 : Type {7,18}_3 Order 1008 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 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] N154.6 : Type {7,18}_14 Order 1008 mV = 2 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N154.7 : Type {7,18}_7 Order 1008 mV = 2 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, R^3 * S^-1 * R^3 * S * R^-2 * S * T, S * T * S^-1 * R^-1 * S * R^-1 * S^6 * R^-1 ] N154.8 : Type {7,18}_14 Order 1008 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 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^4 * T ] N154.9 : Type {7,18}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R^2 * S^-1 * R^-3 * S^4 * T ] N154.10 : Type {10,12}_15 Order 960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^10, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N154.11 : Type {16,24}_6 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^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-6 * S * R^-1 * S^-2 * T ] N154.12 : Type {16,24}_3 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 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4 ] N154.13 : Type {16,24}_12 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^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * T * S * R^4 * S * R^-3 * S^-1 * R ] N154.14 : Type {16,24}_12 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 * S^-1 * R^-2 * S^3 * T, (R * S^-1 * R * S^-1 * R)^2 ] N155.1 : Type {6,20}_60 Order 1080 mV = 5 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 * S^-2 * R^-1 * S * R^-1 * S^-5 * T ] N155.2 : Type {6,54}_27 Order 972 mV = 9 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^-14 * R * S * R^-1 * S^-1 * R * S * T * S^-10 ] N155.3 : Type {6,54}_27 Order 972 mV = 9 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^3 * R * S^-1 * R^-2 * S^-5 * T ] N155.4 : Type {6,54}_27 Order 972 mV = 9 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, R^-1 * S^4 * R^-2 * S^5 * T ] N155.5 : Type {7,13}_3 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R)^7 ] N155.6 : Type {7,13}_13 Order 1092 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 * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 ] N155.7 : Type {7,13}_6 Order 1092 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 * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * T * S * R^3 * S^-6 * R ] N156.1 : Type {6,10}_10 Order 1320 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^3 * S * R^-1 * T, S^10, R^-1 * S * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-4 ] N156.2 : Type {6,10}_4 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^-1 * S * R^2 * S * R^-1 * S^-1, (S * R^-1 * S)^3, S^10, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-2 * R * S * T ] N156.3 : Type {6,10}_6 Order 1320 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)^5, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S * R^2 * S^-1 * R^-2 * S^2 * R^-2 * S^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R ] N156.4 : Type {6,10}_6 Order 1320 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)^5, (R * S^-4)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N156.5 : Type {6,10}_6 Order 1320 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, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-2 * R^2, R * T * S * R * S^-3 * R^-3 * S^-1 * R^2 * S^-1 ] N156.6 : Type {6,10}_6 Order 1320 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^2 * S^-1 * R^-3 * S * R^-2 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-2 * R^2 ] N157.1 : Type {4,159}_159 Order 1272 mV = 53 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-159 ] N157.2 : Type {6,158}_237 Order 948 mV = 79 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 * R^3 * S^6 * T * S^-33 ] N157.3 : Type {10,18}_9 Order 900 mV = 3 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, R * T * S * R * S^-6 * R * S^2 ] N157.4 : Type {14,54}_189 Order 756 mV = 27 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^-14 * R^3 * S^3 * T * S^-1 * R^-2 * S^-2 * R^-2 * S^-7 ] N158.1 : Type {9,10}_45 Order 1080 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^10, S^2 * R * S^-2 * R^-2 * S^3 * R^-1 * S^-1 * T * S ] N158.2 : Type {10,35}_21 Order 840 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-1 * S^3 * R^-2 * S^4 * T, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N160.1 : Type {4,162}_81 Order 1296 mV = 54 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^-41 * R^2 * S^-1 * R * S^2 * T * S^-37 ] N160.2 : Type {4,162}_162 Order 1296 mV = 54 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^162 ] N160.3 : Type {8,108}_54 Order 864 mV = 36 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^2 * S^-1 * R * S^3 * T * S^-9 ] N160.4 : Type {8,108}_27 Order 864 mV = 36 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 * S * R^-1 * S^-1 * R * S * T * S^-10 ] N161.1 : Type {6,162}_81 Order 972 mV = 81 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^-41 * R^3 * S^6 * T * S^-34 ] N161.2 : Type {10,82}_205 Order 820 mV = 41 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^-21 * R^5 * S * T * S^-3 * T * S^2 * T * S^-14 ] N161.3 : Type {18,42}_63 Order 756 mV = 21 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^-11 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-2 ] N161.4 : Type {22,34}_187 Order 748 mV = 17 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S ] N162.1 : Type {4,6}_10 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^6, (R * S^-1)^6, R^-1 * S * T * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^2, 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, R * S^-1 * T * S * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 ] N162.2 : 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, S^-9, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] N162.3 : Type {4,9}_9 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^-9, (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^2 * R * S^-1 * R * S^-2 * R^-2 * S^-3 * R * S^-2 * T ] N162.4 : Type {4,12}_5 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6, S^12, S^2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-1 * T * S ] N162.5 : Type {4,14}_7 Order 1792 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^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N162.6 : Type {4,14}_14 Order 1792 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^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N162.7 : Type {4,14}_7 Order 1792 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^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N162.8 : Type {4,14}_14 Order 1792 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^-6)^2, S^14, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R * S^-1 ] N162.9 : Type {6,6}_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^6, S^6, (S^-1 * R)^5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R^-2 * S * R^-1 * S^-2 * R^2 * S * R^-1, S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * T ] N162.10 : 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, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N162.11 : 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 * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * T * S * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-2 ] N162.12 : Type {9,14}_6 Order 1008 mV = 2 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, S^-4 * R^2 * S * R^-1 * S * T ] N162.13 : Type {9,14}_3 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-9, (R * S^-4 * R)^2 ] N162.14 : Type {9,14}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-9, S * R^-1 * S * R^-3 * S * R^-1 * S^3, S^-3 * R * S^-2 * R * S^3 * R^-1 * T ] N162.15 : Type {9,14}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-9, R^-2 * S * R^3 * S * R^-1 * S * T ] N162.16 : Type {9,14}_14 Order 1008 mV = 2 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^-2 * R^-1 * S^5, R * S^-2 * R^4 * S^4 * T ] N162.17 : Type {9,14}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T ] N163.1 : Type {4,165}_165 Order 1320 mV = 55 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-165 ] N164.1 : Type {4,10}_10 Order 2160 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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10 ] N164.2 : Type {6,12}_9 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^12, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N164.3 : Type {6,12}_9 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^2 * R^2 * S^2 * R^-1 * S^-1, S^12, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N164.4 : Type {6,12}_9 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^-1 * R^3 * S^-1 * R * S * R^-1, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N164.5 : Type {6,12}_18 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^12, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2, R * T * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 ] N164.6 : Type {6,12}_6 Order 1296 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^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] N164.7 : Type {6,84}_21 Order 1008 mV = 21 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 * S * T * S^-7 ] N164.8 : Type {12,24}_6 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N164.9 : Type {12,24}_3 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N165.1 : Type {6,166}_249 Order 996 mV = 83 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 * R^3 * S^6 * T * S^-35 ] N166.1 : Type {4,45}_45 Order 1440 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-45 ] N166.2 : Type {4,168}_168 Order 1344 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^168 ] N166.3 : Type {4,168}_168 Order 1344 mV = 56 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 * R^2 * S * R^-1 * S^-3 * T * S^38 ] N166.4 : Type {8,30}_15 Order 960 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, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-8 * R^-4 * S^-7 ] N166.5 : Type {8,30}_30 Order 960 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, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-3 * R^-1 * S^5 * R^-3 * S^-7 ] N166.6 : Type {8,30}_15 Order 960 mV = 5 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^8 * R^2 * S * R^-1 * S^-3 * T * S^3 ] N167.1 : Type {4,5}_55 Order 6600 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 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N167.2 : Type {6,12}_5 Order 1320 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^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N167.3 : Type {6,12}_11 Order 1320 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^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-3 * S^2 * R^-1 * S^2 * T ] N167.4 : Type {8,21}_3 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1)^6, S^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] N167.5 : Type {8,21}_12 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R^-2 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3 ] N169.1 : Type {4,171}_171 Order 1368 mV = 57 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-171 ] N169.2 : Type {6,170}_255 Order 1020 mV = 85 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^-43 * R^3 * S^6 * T * S^-36 ] N169.3 : Type {10,86}_215 Order 860 mV = 43 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 * R^5 * S * T * S^-3 * T * S^2 * T * S^-15 ] N169.4 : Type {14,58}_203 Order 812 mV = 29 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^-15 * R^-6 * S^-5 * T * R^-1 * S^-9 ] N169.5 : Type {26,30}_195 Order 780 mV = 15 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^13 * S * T * S^-6 ] N170.1 : Type {3,10}_12 Order 5040 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)^6, (S^2 * R^-1 * S^2)^4, S^-1 * R^-1 * S^2 * T * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] N170.2 : Type {3,18}_21 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^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S * R * S^-2 * R^-1 * S^5 * R^-1 * S^5 * R^-1 * T * S^2 ] N170.3 : Type {4,8}_24 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^-3 * R * S^-3 * R * S^4 * R^-1 * T ] N170.4 : Type {4,8}_24 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 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-3 * R^-1 * S^2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * R ] N170.5 : Type {5,8}_6 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^8, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 * T ] N170.6 : Type {5,8}_12 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^8, (S^-1 * R^2 * S^-1)^3, S * T * S^-1 * R^-1 * S^2 * R^2 * S^-3 * R^2 * S ] N170.7 : Type {6,6}_24 Order 2016 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)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N170.8 : Type {6,10}_6 Order 1440 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, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4, S^-2 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * T ] N170.9 : Type {6,10}_6 Order 1440 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, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4, R^-1 * T * S^-1 * R^2 * S^-1 * R^-2 * S^2 * R^-1 * S^-3 ] N170.10 : Type {6,10}_8 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^-2)^4, S * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * T * R * S^2 ] N170.11 : Type {6,10}_8 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^-2)^4, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T ] N170.12 : Type {6,12}_8 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)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12, S^2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2 ] N170.13 : Type {6,12}_8 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)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * T * S^2 * R^-1 * S * R^-3 * S^-1 * R * S^-2 * R ] N170.14 : Type {6,45}_45 Order 1080 mV = 9 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^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^2 ] N170.15 : Type {8,8}_8 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^8, (R * S^-3 * R)^2, S^-1 * R * S^-3 * R * S^3 * T, (R * S^-1 * R * S^-1 * R^2)^2 ] N170.16 : Type {8,8}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-3 * R)^2 ] N170.17 : Type {8,12}_4 Order 1152 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^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, S^12 ] N170.18 : Type {9,18}_18 Order 1008 mV = 2 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^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^3 * S^-1 * R^3 * S * R^-1 * S^-2 * T ] N170.19 : Type {9,18}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, R * S^-2 * R^3 * S^-3 * T ] N170.20 : Type {9,18}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T ] N170.21 : Type {9,18}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T ] N172.1 : Type {4,9}_17 Order 2448 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, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-9 ] N172.2 : Type {4,174}_87 Order 1392 mV = 58 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^-44 * R^2 * S^-1 * R * S^2 * T * S^-40 ] N172.3 : Type {4,174}_174 Order 1392 mV = 58 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^174 ] N172.4 : Type {6,20}_3 Order 1200 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 * R^-2 * S^-2 * T, S^20 ] N172.5 : Type {6,20}_5 Order 1200 mV = 5 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] N173.1 : Type {4,5}_20 Order 6840 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 * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * T * S * R^-1 * S^-1 * R ] N173.2 : Type {4,5}_9 Order 6840 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^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] N173.3 : Type {5,5}_9 Order 3420 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^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1 * T ] N173.4 : Type {6,60}_60 Order 1080 mV = 15 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^15 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^11 ] N173.5 : Type {6,60}_20 Order 1080 mV = 15 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 * T * S^-2 * R^2 * S^-1 * R^3 * S^6 ] N173.6 : Type {6,60}_60 Order 1080 mV = 15 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 * R * S^-2 * R^3 * S^5 * T ] N173.7 : Type {6,174}_87 Order 1044 mV = 87 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 * R^3 * S^6 * T * S^-37 ] N174.1 : Type {10,24}_40 Order 960 mV = 8 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^-1 * S * R^3 * S^-1 * R^-4 * S * R^-1 * S^-1 * T, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-5 * T ] N174.2 : Type {10,24}_40 Order 960 mV = 8 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^-1 * R * S * T ] N174.3 : Type {10,24}_8 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, (R * S^-4 * R)^2 ] N174.4 : Type {10,24}_8 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T ] N175.1 : Type {4,177}_177 Order 1416 mV = 59 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-177 ] N176.1 : Type {12,72}_18 Order 864 mV = 18 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 * T * S^-4 * R^2 * S^-2 * R * S^2 ] N176.2 : Type {12,72}_9 Order 864 mV = 18 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 * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * T * S^-1 ] N177.1 : Type {3,20}_15 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^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-1 ] N177.2 : Type {6,10}_15 Order 1500 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^2 * R^2 * S^2 * R^-1 * S^-1, S^10, R * S^-1 * R^2 * S^-2 * R^2 * S^-2 * R * S^-1 * R * S * T ] N177.3 : Type {6,10}_15 Order 1500 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^10, S^-2 * T * R^-1 * S * R^-2 * S^2 * R^-1 * S^-3 * R^2 * S^-1 * R ] N177.4 : Type {6,178}_267 Order 1068 mV = 89 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^-45 * R^3 * S^6 * T * S^-38 ] N177.5 : Type {10,20}_20 Order 1000 mV = 5 mF = 1 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^10, R^3 * S^-1 * R^3 * S^-1 * R * S^2 * T ] N177.6 : Type {10,20}_4 Order 1000 mV = 5 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^-3)^2, R^10, R^3 * S^-1 * R^3 * S^2 * R^-1 * S * T ] N177.7 : Type {10,20}_20 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S * T ] N177.8 : Type {10,20}_20 Order 1000 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, R * S^-1 * R^5 * S * R^-3 * T ] N177.9 : Type {10,20}_20 Order 1000 mV = 5 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 * R * T * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 ] N177.10 : Type {10,90}_45 Order 900 mV = 45 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^-23 * R^5 * S * T * S^-3 * T * S^2 * T * S^-16 ] N177.11 : Type {18,46}_207 Order 828 mV = 23 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^-12 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-3 ] N178.1 : Type {4,15}_15 Order 1920 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^3 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S^-2 * T, S^-15 ] N178.2 : 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^48 ] N178.3 : 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, (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^12 * R * S^-1 * R * S^2 * R^-1 * T * S^9 ] N178.4 : 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^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-6 * T ] N178.5 : 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^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^-1 * T * S^2 * R * S^-3 * R^-2 * S^-4 * R * S * R^-1 * S^-1 ] N178.6 : Type {4,180}_180 Order 1440 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^180 ] N178.7 : Type {4,180}_180 Order 1440 mV = 60 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 * R^2 * S * R^-1 * S^-3 * T * S^41 ] N178.8 : Type {8,120}_120 Order 960 mV = 40 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 * S^-1 * R^2 * S^-3 * T * S^11 ] N178.9 : Type {8,120}_120 Order 960 mV = 40 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^2 * S^4 * T * R * S^11 ] N180.1 : Type {6,92}_69 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^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-12 * R * S^5 * T * R * S * R^-1 * S^-5 ] N181.1 : Type {4,183}_183 Order 1464 mV = 61 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-183 ] N181.2 : Type {6,182}_273 Order 1092 mV = 91 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 * R^3 * S^6 * T * S^-39 ] N181.3 : Type {14,62}_217 Order 868 mV = 31 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 * R^-6 * S^-5 * T * R^-1 * S^-10 ] N181.4 : Type {22,38}_209 Order 836 mV = 19 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-10 * R^9 * S * T * S^-6 * R * S * R^-1 * S^-1 ] N182.1 : Type {4,6}_24 Order 4320 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 * R^-1 * S * R^-1 * T, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] N182.2 : Type {4,8}_20 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 * T * S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] N182.3 : Type {4,8}_20 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 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * T * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N182.4 : 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^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N182.5 : 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^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, 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^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N182.6 : Type {6,6}_5 Order 2160 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 * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1 * R)^4, R * S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] N182.7 : Type {6,12}_12 Order 1440 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^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^12 ] N182.8 : Type {6,12}_12 Order 1440 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^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, (R * S^-2)^4 ] N182.9 : Type {6,30}_30 Order 1200 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 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] N182.10 : Type {8,8}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-3 * R)^2, S^-1 * R * S^-3 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S ] N182.11 : 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, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2, S^2 * R * S^-1 * R^-3 * S * R^-1 * S^-1 * R * S^-1 * T ] N182.12 : Type {8,8}_5 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, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-3 * R^2)^2 ] N182.13 : Type {10,10}_30 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^10, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N182.14 : Type {10,10}_15 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^10, R^-2 * S * R^-4 * S^2 * R^-1 * S^-2 * T ] N182.15 : Type {10,40}_24 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-2 * S * R^4 * S^2 * R^-1 * S^-1 * T ] N182.16 : Type {10,40}_24 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-3 * R^-1 * S * R^2 * S^4 * T ] N182.17 : Type {14,14}_9 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, R^-1 * S * R^5 * S * R^-2 * S * R^-1 ] N182.18 : Type {14,14}_18 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * S * R^5 * S * R^-2 * S * R^-1 ] N184.1 : 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 * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] N184.2 : Type {4,6}_7 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, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] N184.3 : Type {4,12}_13 Order 2184 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^-1)^3, S^12, (S^-1 * R)^7, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^-1 * T * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-3 ] N184.4 : Type {4,12}_7 Order 2184 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^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, (S^-1 * R)^7 ] N184.5 : Type {4,186}_93 Order 1488 mV = 62 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^-47 * R^2 * S^-1 * R * S^3 * T * S^-42 ] N184.6 : Type {4,186}_186 Order 1488 mV = 62 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^186 ] N184.7 : Type {6,16}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T ] N184.8 : Type {6,16}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] N185.1 : Type {6,186}_93 Order 1116 mV = 93 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^-47 * R^3 * S^6 * T * S^-40 ] N185.2 : Type {10,94}_235 Order 940 mV = 47 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 * R^5 * S * T * S^-3 * T * S^2 * T * S^-17 ] N186.1 : Type {4,50}_50 Order 1600 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^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^50 ] N186.2 : Type {4,50}_25 Order 1600 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^-4)^2, S^-13 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S * R^-1 * S^-7 ] N186.3 : Type {8,18}_18 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, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^18 ] N186.4 : Type {8,18}_18 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, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^18 ] N187.1 : Type {4,189}_189 Order 1512 mV = 63 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-189 ] N188.1 : Type {24,36}_9 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)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S * T * S^-1 * R^-1 * S^4 * R^-2 * S^3 ] N188.2 : Type {24,36}_18 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)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^-1 * T * S^-1 * R^-1 * S^6 * R^-1 * S^-2 ] N189.1 : Type {6,190}_285 Order 1140 mV = 95 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 * R^3 * S^6 * T * S^-41 ] N190.1 : Type {4,192}_192 Order 1536 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^192 ] N190.2 : Type {4,192}_192 Order 1536 mV = 64 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 * R^2 * S * R^-1 * S^-4 * T * S^43 ] N190.3 : Type {12,40}_40 Order 960 mV = 8 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, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N190.4 : Type {12,40}_40 Order 960 mV = 8 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, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N190.5 : Type {14,18}_3 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^3)^2, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3 ] N190.6 : Type {14,18}_6 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3 ] N190.7 : Type {14,18}_7 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^2 * S^-1 * R^-3 * S^4 * T ] N190.8 : Type {14,18}_14 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^2 * S^-1 * R^4 * S^4 * T ] N190.9 : Type {14,18}_7 Order 1008 mV = 2 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 * R^3 * S * R^-1 * S^2, R^-1 * T * S^-1 * R^-4 * S * R^-2 * S * R^-2 ] N190.10 : Type {14,18}_14 Order 1008 mV = 2 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 * R^3 * S * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N191.1 : Type {4,13}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-4, S^-13 ] N191.2 : Type {4,18}_12 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 * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * R^-1 * S * R^-1 * S^2 * T * S^-1 * R ] N191.3 : Type {4,18}_12 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^4 * R * S^-1 * R^2 * S^-4 * R * T ] N191.4 : Type {4,18}_12 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 * S^-1 * R^2 * S * R^-1 * T, R * S^-5 * R^-2 * S^-5 * R * S^2 ] N191.5 : Type {5,8}_8 Order 2160 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^-1 * T * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^-1 * S^-2 ] N191.6 : Type {5,8}_12 Order 2160 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^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^2 * T ] N191.7 : Type {6,10}_5 Order 1620 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^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N191.8 : Type {6,66}_33 Order 1188 mV = 11 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^-17 * R * S * R^-1 * S^-1 * R * S * T * S^-13 ] N191.9 : Type {13,13}_7 Order 1092 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^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R^5 * S^-2 * R * S * T, (R * S^-1)^6, R * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-2 ] N191.10 : Type {18,18}_9 Order 972 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 * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R * S^-1 * R^-1 * S * R * S^-3 * R^-4 * S^-3 * R * T * R^-1 * S ] N191.11 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, 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^-1 * T * S * R * S^-1 * R^4 * S^-6 ] N191.12 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^3 * R * S^-1 * R^-2 * S^-5 * T ] N191.13 : Type {18,18}_9 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^-1 * S^-1 * T, (R * S^-1)^6 ] N191.14 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, S^-2 * R^-4 * S * R^-1 * S^2 * T ] N191.15 : Type {18,18}_3 Order 972 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 * S^-2 * T, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] N192.1 : Type {4,42}_35 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^-1)^6, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, S^-1 * R^-1 * S * R * S^-3 * R^2 * S * R^-1 * S^3 * T ] N193.1 : Type {4,195}_195 Order 1560 mV = 65 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-195 ] N193.2 : Type {6,194}_291 Order 1164 mV = 97 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^-49 * R^3 * S^6 * T * S^-42 ] N193.3 : Type {10,98}_245 Order 980 mV = 49 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^-25 * R^5 * S^6 * T * S^-18 ] N193.4 : Type {14,66}_231 Order 924 mV = 33 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^-17 * R^-6 * S^-5 * T * R^-1 * S^-11 ] N193.5 : Type {18,50}_225 Order 900 mV = 25 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^-13 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-4 ] N193.6 : Type {26,34}_221 Order 884 mV = 17 mF = 13 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^2 * T * S^4 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S ] N194.1 : Type {5,10}_6 Order 1920 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] N194.2 : Type {5,10}_6 Order 1920 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^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * T ] N194.3 : Type {5,10}_12 Order 1920 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^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] N194.4 : Type {5,10}_12 Order 1920 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^-3 * 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^-1 * R * S^2, S^-1 * T * S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-1 ] N194.5 : 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^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 * R ] N196.1 : Type {4,198}_198 Order 1584 mV = 66 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^198 ] N196.2 : Type {4,198}_99 Order 1584 mV = 66 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^-50 * R^2 * S^-1 * R * S^3 * T * S^-45 ] N196.3 : Type {6,100}_75 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^-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 * S * T * S^-9 ] N196.4 : Type {8,132}_66 Order 1056 mV = 44 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 * R * S * R^-1 * S^-1 * T * R^-1 * S^-13 ] N196.5 : Type {8,132}_33 Order 1056 mV = 44 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^2 * S^-1 * R * S^3 * T * S^-12 ] N197.1 : Type {4,14}_7 Order 2184 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^-2 * R^2 * S^5 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T ] N197.2 : Type {4,14}_14 Order 2184 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^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^14, R^-1 * S * R * S^-1 * R^-1 * S^5 * R^-1 * S^5 * R^-1 * S^-1 * T * R^-1 * S^-2 ] N197.3 : Type {4,14}_14 Order 2184 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^-1 * R^2 * S * R^-1 * T, S^14, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N197.4 : Type {4,30}_4 Order 1800 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 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * T * S^5 * R^-1 * S^5 ] N197.5 : Type {6,68}_68 Order 1224 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 * R^2 * S * R^-1 * S^-1, S^17 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^13 ] N197.6 : Type {6,198}_99 Order 1188 mV = 99 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 * R^3 * S^6 * T * S^-43 ] N197.7 : Type {30,30}_15 Order 900 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-2 * T * S^4 * T * S^-1 * R^-13 * S^6 * R^-1 * T * S^2 ] N198.1 : Type {8,12}_12 Order 1344 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^4 * S * R^-2 * T, (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 ] N198.2 : Type {8,12}_12 Order 1344 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)^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^2 * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * T ] N198.3 : Type {8,12}_28 Order 1344 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 * R^-1 * S * R^-1 * T ] N198.4 : Type {8,12}_28 Order 1344 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^12, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N198.5 : Type {18,18}_9 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, R^-1 * S * R^5 * S * R^-1 * S^-3 ] N198.6 : Type {18,18}_18 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^5 * S * R^-1 * S^-3 ] N198.7 : Type {20,24}_40 Order 960 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^4 * S * R^-1 * S^-1 * R^2, R^-1 * S * R^8 * S^-1 * R * S * R^-1 * S^-1 * T ] N198.8 : Type {20,24}_40 Order 960 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 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * T ] N198.9 : Type {20,24}_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^-2 * R^2)^2, R^-2 * S * R^3 * S^3 * T ] N198.10 : Type {20,24}_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^-2 * R^2)^2, S^-1 * R * S^-1 * R^4 * S^2 * R^-2 * T ] N199.1 : Type {4,201}_201 Order 1608 mV = 67 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-201 ] N200.1 : 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^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R * S^-2)^2, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * T * S ] N200.2 : 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^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N200.3 : Type {4,10}_22 Order 2640 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^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R ] N200.4 : Type {4,10}_11 Order 2640 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^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * S, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R ] N200.5 : Type {4,10}_12 Order 2640 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^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N200.6 : Type {4,10}_12 Order 2640 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^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^3 * T ] N200.7 : 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^10, 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^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N200.8 : 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^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * T ] N200.9 : Type {6,36}_9 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^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T , S * T * S^-2 * R * S^-1 * R^-2 * S^7 ] N200.10 : Type {6,36}_9 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^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T , S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N200.11 : Type {6,36}_3 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^-1 * R^-2 * S^-2 * T, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 * R * S^-1 ] N200.12 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R^-2 * S * R^3 * S * R^-1 * S * T, S^10, R * S^-2 * R^4 * S^2 * R^-1 * S * T, (R * S^-4 * R)^2 ] N200.13 : Type {8,10}_4 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^2 * S * R^-1 * S^-1, S^10, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R^3 * S^-1 * R^-4 * S * R^-2 * T, S^-2 * R^-3 * S^2 * R^-3 * S^3 * T ] N200.14 : 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, R^8, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N200.15 : Type {8,10}_10 Order 1440 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^4 * S * R^-2 * T, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N200.16 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-4)^2, S^10, R^-2 * S^2 * R^3 * S^2 * R^-1 * S * T ] N200.17 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-4)^2, S^10, R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1, R^2 * S^-2 * R^-3 * S^2 * R^-1 * S^-2 * T ] N200.18 : 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^10, R * S^-3 * R^-3 * S * R^-1 * S * R^-1 * S * T ] N200.19 : Type {8,10}_3 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, S^10, R * S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S^-2 * R ] N200.20 : Type {8,10}_4 Order 1440 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)^2, (R * S^-4)^2, R * T * S * R^2 * S^-1 * R^3 * S^-2 * R^3 * S^-1 ] N200.21 : Type {8,10}_4 Order 1440 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)^2, (R * S^-4)^2, R^2 * S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * T ] N200.22 : Type {10,10}_10 Order 1320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^10, R * S^-1 * R^5 * S * R^-3 * T ] N200.23 : Type {10,10}_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, (S^-1 * R)^3, R^10, S^10, R * T * S * R^3 * S^-1 * R^-2 * S^5 ] N200.24 : Type {10,10}_6 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^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-1)^6, S^-3 * R^-4 * S^2 * R^-2 * S * T ] N200.25 : Type {10,10}_5 Order 1320 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, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N200.26 : Type {10,10}_10 Order 1320 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, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S^2 * T ] N200.27 : Type {12,42}_21 Order 1008 mV = 7 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 * R * S * R^-1 * S^-1 * T * R^-1 * S^-7 ] N201.1 : Type {6,202}_303 Order 1212 mV = 101 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^-51 * R^3 * S^6 * T * S^-44 ] N201.2 : Type {10,102}_255 Order 1020 mV = 51 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 * R^4 * S^-2 * T * S^2 * R^-1 * T * S^2 * T * S^-19 ] N201.3 : Type {22,42}_231 Order 924 mV = 21 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^11 * R^-7 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] N202.1 : Type {4,54}_54 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^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^54 ] N202.2 : Type {4,204}_204 Order 1632 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^204 ] N202.3 : Type {4,204}_204 Order 1632 mV = 68 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 * R^-1 * S^-1 * R * S^4 * R^-1 * T * S^46 ] N202.4 : Type {6,8}_5 Order 1920 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^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-2 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * T ] N202.5 : Type {6,28}_28 Order 1344 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^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R * S^-3 * R * S^-1 * R * S^-3 * R * S * T * S^-1 ] N202.6 : Type {6,28}_28 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^3 * S * R^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N202.7 : Type {6,28}_7 Order 1344 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 * R * S^-1 * R)^2, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N202.8 : Type {6,28}_14 Order 1344 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 * R * S^-1 * R)^2, S * R^2 * S^-1 * R^-3 * S^-5 * T, S^-2 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 ] N202.9 : 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, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^9 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^5 ] N202.10 : 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, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^9 * R^4 * S^9 ] N202.11 : Type {8,36}_9 Order 1152 mV = 6 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^-1 * S^4 * R^-2 * S^5 * T ] N202.12 : Type {8,36}_18 Order 1152 mV = 6 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, S^3 * R * S^-1 * R^-2 * S^-5 * T ] Total number of maps in list above: 862