Chiral rotary maps of genus 2 to 301 ------------------------------------ Below is a list of all orientably-regular but chiral (irreflexible) maps on surfaces of genus 2 to 301, up to isomorphism, reflection and duality. The notation "Cg.n" is used for the nth chiral rotary map of genus g. These were found by Marston Conder (University of Auckland) in 2011 with the help of the "LowIndexNormalSubgroups" routine in Magma, and the list extends the list of those of genus 2 to 101 which he found in 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, and Marston Conder, Regular maps and hypermaps of Euler characteristic -1 to -200, J. Combinatorial Theory, Series B, 99 (2009), 455-459. Total number of maps in list below: 3870 Marston Conder August 2012 and February 2013 [plus one correction made for genus 301 on 18 February 2013, after Primoz Potocnik discovered a small bug in the LowIndexNormalSubgroups routine that meant quotients isomorphic to the wreath product A_5 \wr S_2 (and covers of this group) had been omitted -- specifically, the map C301.1 was added, and the others of genus 301 were re-numbered] Genus 2 [None] Genus 3 [None] Genus 4 [None] Genus 5 [None] Genus 6 [None] Genus 7 C7.1 : Type {6,9}_18 Order 54 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^-3 * S * R^-1 * S^-1 ] C7.2 : Type {7,7}_4 Order 56 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S * R^-3 * S^2 * R^-1 ] Genus 8 C8.1 : Type {6,6}_14 Order 84 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R ] Genus 9 [None] Genus 10 C10.1 : Type {3,8}_12 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^8, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^-2 * R * S^-3 * R * S^-1 ] C10.2 : Type {4,8}_8 Order 144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, R * S^-3 * R^2 * S^-2 * R * S^-1 ] C10.3 : Type {8,8}_6 Order 72 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, R * S^-1 * R^3 * S^-3, R^-1 * S * R^3 * S^-1 * R * S^-1 ] Genus 11 C11.1 : Type {4,8}_40 Order 160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C11.2 : Type {4,8}_40 Order 160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C11.3 : Type {4,12}_30 Order 120 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S * R * S^-2 * R^2 * S^-1 * R * S^2 ] C11.4 : Type {8,8}_20 Order 80 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R^-1 * S * R^2 * S^-1 * R * S^-1 ] C11.5 : Type {8,8}_10 Order 80 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-2 * R^2 * S^-1 * R * S^-1 ] C11.6 : Type {12,12}_10 Order 60 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S^-2 * R^2 * S^-1 * R ] Genus 12 C12.1 : Type {5,10}_22 Order 110 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, S * R^-1 * S * R^2 * S^-1 * R * S ] C12.2 : Type {5,10}_22 Order 110 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, S^-1 * R * S^-1 * R^-2 * S^-4 ] Genus 13 [None] Genus 14 C14.1 : Type {6,6}_26 Order 156 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^6, R * S^-1 * R * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] Genus 15 C15.1 : Type {3,12}_56 Order 336 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * R^-1 * S ] Genus 16 C16.1 : Type {6,18}_18 Order 108 mV = 6 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^-1 * S * R^3 * S^-4 ] Genus 17 C17.1 : Type {3,7}_16 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^-7, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] C17.2 : Type {4,6}_12 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, (R * S^-2)^4 ] C17.3 : Type {6,6}_8 Order 192 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-1 * R^2 * S * R^-1 * S, R^2 * S^-2 * R^3 * S^-1 * R * S^3 ] C17.4 : Type {7,14}_4 Order 112 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S^2 * R^-2 * S * R^-1 * S ] Genus 18 C18.1 : Type {8,8}_34 Order 136 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, S^-3 * R^2 * S * R^-1 * S^-1 ] Genus 19 C19.1 : Type {4,8}_8 Order 288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-3 * R * S^-1 * R^2 * S^-3 * R * S^-1 ] C19.2 : Type {8,8}_6 Order 144 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-2 * R^3 * S^-1 * R * S^-1 ] Genus 20 C20.1 : Type {6,6}_38 Order 228 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, R^-1 * S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] Genus 21 C21.1 : Type {4,8}_10 Order 320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (S^-1 * R)^5, R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S ] C21.2 : Type {4,8}_40 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] C21.3 : Type {4,8}_20 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] C21.4 : Type {4,12}_60 Order 240 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^12 ] C21.5 : Type {4,20}_10 Order 200 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-6 ] C21.6 : Type {8,8}_20 Order 160 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] C21.7 : Type {8,8}_20 Order 160 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-2 * S^-1 ] C21.8 : Type {12,12}_10 Order 120 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R^12 ] C21.9 : Type {14,14}_4 Order 112 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-1 * S, R * S^-2 * R^8 * S^-1 * R^2 ] C21.10 : Type {20,20}_10 Order 100 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R^6 * S^-1 * R * S^-2 ] Genus 22 C22.1 : Type {3,12}_42 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^3 ] C22.2 : Type {6,6}_42 Order 252 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 ] C22.3 : Type {6,6}_42 Order 252 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, R^-1 * S * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 ] C22.4 : Type {6,12}_28 Order 168 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R * S^-3 * R^2 * S * R^-1 * S^-2 ] C22.5 : Type {6,12}_28 Order 168 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^-2 * S * R^3 * S^-1 * R * S^2 ] C22.6 : Type {9,18}_14 Order 126 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S ] Genus 23 [None] Genus 24 [None] Genus 25 C25.1 : Type {4,16}_8 Order 256 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 ] C25.2 : Type {6,9}_36 Order 216 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S^-1 ] C25.3 : Type {6,27}_54 Order 162 mV = 9 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R * S^-4 * R^-3 * S^5 ] C25.4 : Type {16,16}_8 Order 128 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, S^-2 * R^3 * S * R^-1 * S^-1 ] Genus 26 C26.1 : Type {8,8}_10 Order 200 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R^-1 * S * R^4 * S^-1 * R^2 * S ] Genus 27 C27.1 : Type {3,12}_104 Order 624 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C27.2 : Type {4,8}_104 Order 416 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] C27.3 : Type {4,8}_104 Order 416 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] C27.4 : Type {4,12}_78 Order 312 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C27.5 : Type {8,8}_26 Order 208 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C27.6 : Type {8,8}_52 Order 208 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C27.7 : Type {12,12}_26 Order 156 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, (S^-1 * R)^3, R^-1 * S * R^4 * S^-1 * R^2 * S^-1 ] C27.8 : Type {12,12}_26 Order 156 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 ] Genus 28 C28.1 : Type {3,8}_36 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^8, S * R * S^-3 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^2 ] C28.2 : Type {3,18}_18 Order 486 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (S^2 * R^-1 * S^2)^3, S * R * S^-2 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] C28.3 : Type {4,8}_24 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S^2 * R^2 * S^-2 * R * S^-2 ] C28.4 : Type {8,8}_6 Order 216 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S * R^-1 * S * R^2 * S^-1 * R * S, S^-2 * R^4 * S^2 * R^-1 * S^-1 ] C28.5 : Type {9,18}_18 Order 162 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-9, S * R^-4 * S * R^-1 * S^2 ] Genus 29 C29.1 : Type {6,6}_28 Order 336 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^-2 ] C29.2 : Type {6,15}_70 Order 210 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^-1 * S * R^-3 * S^-1 * R * S * R^-1 * S^-1 ] C29.3 : Type {12,12}_14 Order 168 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12 ] Genus 30 [None] Genus 31 C31.1 : Type {4,16}_80 Order 320 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R * S^3 ] C31.2 : Type {4,16}_80 Order 320 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^16 ] C31.3 : Type {4,28}_70 Order 280 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S * R * S^-5 * R^-1 * S * R^-1 * S^-2 * R * S^5 ] C31.4 : Type {16,16}_10 Order 160 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-3 * R^8 * S^-1 * R^3 ] C31.5 : Type {16,16}_20 Order 160 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R^2 * S^-2 * R ] C31.6 : Type {28,28}_10 Order 140 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^2 * S^-2 * R^9 * S^-1 ] Genus 32 C32.1 : Type {5,10}_62 Order 310 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^2 * R * S^-2 * R^-1 * S^4 * R^-1 ] C32.2 : Type {5,10}_62 Order 310 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 ] C32.3 : Type {6,6}_62 Order 372 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S * R * S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 * R^-1 * S ] Genus 33 C33.1 : Type {3,12}_16 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, S^2 * R^-1 * S^2 * R * S^-3 * R * S^-1 * R * S^-2 * R * S^2 ] C33.2 : Type {4,6}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S ] C33.3 : Type {4,6}_24 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S ] C33.4 : Type {6,6}_8 Order 384 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-1 * R^2 * S * R^-1 * S, (R * S^-1 * R)^4 ] C33.5 : Type {6,6}_8 Order 384 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-2 ] Genus 34 C34.1 : Type {6,36}_36 Order 216 mV = 12 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-4 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-5 ] C34.2 : Type {9,12}_18 Order 216 mV = 1 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^4 * R^-2 * S^-3 * R * S ] C34.3 : Type {10,10}_22 Order 220 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^10, (R * S^-1 * R^3)^2, S^-1 * R * S^-1 * R^3 * S^-4 ] C34.4 : Type {10,10}_22 Order 220 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^-1 * S * R^2 * S^-1 * R * S, R^10, (R * S^-1 * R^3)^2 ] Genus 35 C35.1 : Type {4,8}_136 Order 544 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] C35.2 : Type {4,8}_136 Order 544 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R ] C35.3 : Type {4,12}_102 Order 408 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] C35.4 : Type {8,8}_34 Order 272 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R ] C35.5 : Type {8,8}_34 Order 272 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 ] C35.6 : Type {8,8}_68 Order 272 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-2 * S^-2 ] C35.7 : Type {12,12}_34 Order 204 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R ] C35.8 : Type {21,21}_4 Order 168 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^2 * R^-1, R^3 * S^-8 * R^8 * S^-2 ] Genus 36 [None] Genus 37 C37.1 : Type {3,8}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^8, (R * S^-2)^6, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S, S * R * S^-2 * R * S^-4 * R * S^-2 * R * S^4 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] C37.2 : Type {4,8}_8 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R^-1 * S * R * S^-2 * R^2 * S^3 * R^-1 * S * R^-1 ] C37.3 : Type {8,8}_12 Order 288 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R^2 * S^-1 * R^4 * S * R^-1 * S^-1 * R * S^-1 ] Genus 38 C38.1 : Type {6,6}_74 Order 444 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^6, S^-1 * R^-2 * S^-2 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] Genus 39 C39.1 : Type {3,12}_152 Order 912 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-2 ] Genus 40 C40.1 : Type {3,12}_78 Order 936 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] C40.2 : Type {6,6}_78 Order 468 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 ] C40.3 : Type {6,6}_78 Order 468 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^2 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] C40.4 : Type {6,12}_52 Order 312 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 ] C40.5 : Type {6,12}_52 Order 312 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^12, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^-2 ] C40.6 : Type {9,18}_26 Order 234 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 ] C40.7 : Type {12,18}_36 Order 216 mV = 3 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S^-1 * R^-1 * S * R^3 * S^-4 ] Genus 41 C41.1 : Type {4,8}_10 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] C41.2 : Type {4,8}_20 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S ] C41.3 : Type {4,8}_20 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (S^-1 * R)^5, R * S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-3 ] C41.4 : Type {4,8}_40 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] C41.5 : Type {4,8}_40 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 ] C41.6 : Type {4,8}_20 Order 640 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-1 * R ] C41.7 : Type {4,8}_40 Order 640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] C41.8 : Type {4,12}_30 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, S^-5 * R^2 * S^-2 * R * S^-1 * R ] C41.9 : Type {4,12}_60 Order 480 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] C41.10 : Type {4,20}_20 Order 400 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^20 ] C41.11 : Type {4,36}_90 Order 360 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^-9 * R * S^2 * R^-1 * S^-2 * R * S * R^-1 * S^-4 ] C41.12 : Type {6,8}_12 Order 384 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1)^4, S^8, S^-2 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1 ] C41.13 : Type {8,8}_10 Order 320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S * R^-1 * S * R^2 * S^-1 * R * S, S^-1 * R * S^-1 * R^3 * S^-3 * R ] C41.14 : Type {8,8}_20 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R ] C41.15 : Type {8,8}_40 Order 320 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] C41.16 : Type {8,8}_40 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-2 * S^-1 ] C41.17 : Type {8,8}_40 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] C41.18 : Type {8,8}_40 Order 320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R ] C41.19 : Type {8,16}_8 Order 256 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2, S^-1 * R^-1 * S^2 * R^2 * S^-1 * R * S^-2 ] C41.20 : Type {8,24}_60 Order 240 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^2 * R * S^-1 * R^2 * S^-2 * R * S ] C41.21 : Type {8,24}_30 Order 240 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 ] C41.22 : Type {12,12}_20 Order 240 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^-1 * R^5 * S * R^-1 * S^-1 * R ] C41.23 : Type {12,12}_20 Order 240 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C41.24 : Type {14,14}_4 Order 224 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^3 * R^-1, R^-14 ] C41.25 : Type {20,20}_10 Order 200 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-3 * R * S^-1 * R^7 * S^-1 * R * S^-2 * R * S^-1 * R ] C41.26 : Type {36,36}_10 Order 180 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-1 * S^3 * R^-10 * S^2 * R^-2 ] Genus 42 C42.1 : Type {5,10}_82 Order 410 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^-3 ] C42.2 : Type {5,10}_82 Order 410 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R * S^-1 * R^-2 * S^5 * R^-1 ] C42.3 : Type {8,8}_82 Order 328 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R^2 * S^-1 * R^4 * S^-3 * R * S^-1 ] Genus 43 C43.1 : Type {3,9}_18 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^-9, S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2, S^-1 * R * S^-2 * R^-1 * S^3 * R * S^-3 * R * S^-4 * R * S^-3 * R * S^-1 ] C43.2 : Type {3,12}_168 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] C43.3 : Type {6,9}_126 Order 378 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-1 * S ] C43.4 : Type {6,9}_126 Order 378 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R * S^-1 * R^2 * S^-1 * R * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] C43.5 : Type {6,9}_126 Order 378 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R^-1 * S * R * S^-1 * R^-1 * S * R^-3 * S * R^-2 * S * R^-2 * S^-2 ] C43.6 : Type {6,12}_56 Order 336 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 * R * S ] C43.7 : Type {6,21}_14 Order 294 mV = 7 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S^-4 ] C43.8 : Type {6,45}_90 Order 270 mV = 15 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-8 * R^3 * S * R^-1 * S^-6 ] C43.9 : Type {12,36}_18 Order 216 mV = 12 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-1 * R^3 * S^4, R^12 ] C43.10 : Type {15,30}_14 Order 210 mV = 5 mF = 5 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^2 * S^-2 * R^8 * S^-1 * R * S^-1 ] Genus 44 C44.1 : Type {6,6}_86 Order 516 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S ] Genus 45 C45.1 : Type {8,32}_32 Order 256 mV = 8 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-4 * R^3 * S * R^-1 * S^-3 ] C45.2 : Type {15,15}_4 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S^2 * R^-2, R^-1 * S^2 * R^-9 * S * R^-1 * S ] Genus 46 C46.1 : Type {3,8}_30 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^8, S * R * S^-3 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^4 * R^-1 * S ] C46.2 : Type {4,12}_30 Order 540 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S ] C46.3 : Type {4,24}_24 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-3 * R^2 * S^-1 * R * S^-3, S * R * S^-4 * R^-2 * S^-5 * R * S^2 ] C46.4 : Type {6,8}_12 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^8, (S * R^-1 * S)^3, S^-1 * R^-1 * S * R^-3 * S^-1 * R * S^-3 ] C46.5 : Type {6,18}_18 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^2 * S^-4 ] C46.6 : Type {10,25}_50 Order 250 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^2 * R^-3 * S^-1 * R * S^2 ] C46.7 : Type {10,25}_50 Order 250 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R * S^-2 * R^-2 * S^-3 * R ] C46.8 : Type {24,24}_6 Order 216 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^5 * S^3 * R^-1, S^-1 * R^6 * S^-1 * R * S^-1 * R^2 ] Genus 47 [None] Genus 48 [None] Genus 49 C49.1 : Type {4,5}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^-5, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1)^4 ] C49.2 : Type {4,6}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-2 ] C49.3 : Type {5,5}_12 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^-5, S^-5, (R * S^-1)^6, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] C49.4 : Type {6,6}_24 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R * S^-1 ] C49.5 : Type {6,6}_12 Order 576 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-2 ] C49.6 : Type {6,12}_8 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2, R^2 * S^-2 * R^3 * S^-1 * R * S^3 ] C49.7 : Type {6,12}_8 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2, R^2 * S^-2 * R^3 * S^-1 * R * S^-3 ] C49.8 : Type {28,28}_4 Order 224 mV = 4 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^2 * R^-1, R^-2 * S^12 * R^-1 * S * R^-9 * S^2 * R^-1 ] C49.9 : Type {28,28}_4 Order 224 mV = 4 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S^2, R^-10 * S^2 * R^-1 * S ] Genus 50 C50.1 : Type {4,6}_12 Order 1176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R ] C50.2 : Type {6,6}_98 Order 588 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 ] C50.3 : Type {6,6}_14 Order 588 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, R * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^3 ] C50.4 : Type {6,6}_14 Order 588 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S ] C50.5 : Type {6,24}_56 Order 336 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R^-1 * S * R^2 * S^-3 * R, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] C50.6 : Type {6,24}_56 Order 336 mV = 8 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R * S^-4 * R^-1 * S * R^-3 * S^-1 * R * S^2 ] C50.7 : Type {18,18}_14 Order 252 mV = 3 mF = 6 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S^2 * R^-1 * S, S * R^-12 * S^5 ] Genus 51 C51.1 : Type {3,12}_8 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-2)^4, S^12, S^-1 * R * S^-6 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-4 ] C51.2 : Type {4,8}_8 Order 800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-1)^4, S^8, S^-1 * R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-3, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] C51.3 : Type {4,8}_200 Order 800 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R * S^-1 ] C51.4 : Type {4,8}_200 Order 800 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S * R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R^-1 ] C51.5 : Type {4,12}_6 Order 600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^-3 * R * S^-1 * R^2 * S^3 * R^-1 * S^-1 ] C51.6 : Type {4,12}_150 Order 600 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^2 ] C51.7 : Type {4,24}_120 Order 480 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^24 ] C51.8 : Type {4,24}_120 Order 480 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, R^-1 * S^5 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] C51.9 : Type {4,44}_110 Order 440 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^11 * R^2 * S * R^-1 * S^-2 * R * S^8 ] C51.10 : Type {8,8}_10 Order 400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R * S^-1 * R^4 * S^4 * R^-1 ] C51.11 : Type {8,8}_50 Order 400 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R ] C51.12 : Type {8,8}_4 Order 400 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^8, R * S^-2 * R^4 * S^3 * R^-1 * S^-1 ] C51.13 : Type {8,8}_100 Order 400 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] C51.14 : Type {8,16}_80 Order 320 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 ] C51.15 : Type {8,16}_80 Order 320 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C51.16 : Type {12,12}_10 Order 300 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, (S^-1 * R)^3, S^-2 * R^4 * S * R^-1 * S^-2 ] C51.17 : Type {12,12}_50 Order 300 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R^-2 * S^2 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^2 ] C51.18 : Type {24,24}_10 Order 240 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, S^-1 * R^6 * S^-1 * R * S^-1 * R^9 * S^-1 * R^4 ] C51.19 : Type {24,24}_20 Order 240 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-1 ] C51.20 : Type {44,44}_10 Order 220 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-3 * R^2 * S^-2 * R^6 * S^-1 * R * S^-3 * R * S^-2 ] Genus 52 C52.1 : Type {6,54}_54 Order 324 mV = 18 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^9 * R * S^-1 * R * S^4 * R^-1 * S^-1 * R * S^3 ] C52.2 : Type {16,16}_34 Order 272 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R * S^-1 * R^3 * S^-2 * R ] C52.3 : Type {16,16}_34 Order 272 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^4 * S^-2 * R ] Genus 53 C53.1 : Type {4,8}_104 Order 832 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R^2 * S^-1 ] C53.2 : Type {4,8}_52 Order 832 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^-1 * S ] C53.3 : Type {4,12}_156 Order 624 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] C53.4 : Type {4,20}_130 Order 520 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 ] C53.5 : Type {6,6}_52 Order 624 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] C53.6 : Type {6,15}_130 Order 390 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1 * S^-1 ] C53.7 : Type {8,8}_52 Order 416 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^2 * S * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] C53.8 : Type {8,8}_52 Order 416 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^2 * S * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] C53.9 : Type {12,12}_26 Order 312 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R ] C53.10 : Type {12,12}_26 Order 312 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, R * S^-3 * R * S^-1 * R * S^-2 * R * S^-2 ] C53.11 : Type {12,12}_26 Order 312 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^3 * S * R^-2 * S^-1, S^3 * R^3 * S^-1 * R * S^2, R^12 ] C53.12 : Type {16,32}_32 Order 256 mV = 8 mF = 4 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-2 * R^-1 * S * R^3 * S^-5 ] C53.13 : Type {20,20}_26 Order 260 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R ] Genus 54 [None] Genus 55 C55.1 : Type {4,6}_18 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-2)^6 ] C55.2 : Type {4,8}_24 Order 864 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, (R * S^-1)^6 ] C55.3 : Type {4,16}_16 Order 576 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-3 * R^2 * S^-1 * R * S^-3, S^16 ] C55.4 : Type {4,16}_16 Order 576 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-3 * R^2 * S^-1 * R * S^3 ] C55.5 : Type {6,6}_12 Order 648 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R^-1 * S * R^2 * S^-1 * R * S, R^2 * S^-3 * R * S^-1 * R^3 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C55.6 : Type {6,9}_18 Order 486 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S * R^-1 * S * R ] C55.7 : Type {8,8}_6 Order 432 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S * R * S^-1 * R^2 * S * R^-1 * S, R^2 * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-1 ] C55.8 : Type {16,16}_6 Order 288 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^5 * S^3 * R^-1, R^-3 * S * R^-8 * S^2 * R^-1 * S ] C55.9 : Type {16,16}_12 Order 288 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S^-2 * R^3 * S^-1 * R * S^-1 ] Genus 56 C56.1 : Type {5,10}_110 Order 550 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-2 * S^-1 ] C56.2 : Type {5,10}_110 Order 550 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] C56.3 : Type {10,15}_66 Order 330 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5 * S * R^-1 * S^-2 ] C56.4 : Type {10,15}_66 Order 330 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-3 * R^-2 * S^-1 * R * S^-1 * R ] Genus 57 C57.1 : Type {3,12}_56 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] C57.2 : Type {6,6}_56 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-1 * R^3 * S^2 * R^-2, R^-1 * S^-3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S ] C57.3 : Type {12,12}_28 Order 336 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12 ] Genus 58 C58.1 : Type {3,12}_114 Order 1368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^-1 ] C58.2 : Type {6,6}_114 Order 684 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S * R * S^-1 * R * S^-2 * R^-2 * S^2 * R^-1 * S^3 * R^-1 * S ] C58.3 : Type {6,6}_114 Order 684 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S ] C58.4 : Type {6,12}_76 Order 456 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S^2 * R^-1 * S ] C58.5 : Type {6,12}_76 Order 456 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^12, R * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1 * S * R^-1 * S ] C58.6 : Type {9,18}_38 Order 342 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-9, R^-1 * S * R^-3 * S^3 * R^-1 ] C58.7 : Type {9,18}_38 Order 342 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R^-1 * S * R^2 * S^-1 * R * S, R^-9, R^-2 * S * R^-2 * S * R^-1 * S^2 ] C58.8 : Type {9,18}_38 Order 342 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-9, S^3 * R^-2 * S * R^-1 * S^2 ] C58.9 : Type {9,18}_38 Order 342 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] Genus 59 C59.1 : Type {4,8}_232 Order 928 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] C59.2 : Type {4,8}_232 Order 928 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 * S ] C59.3 : Type {4,12}_174 Order 696 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C59.4 : Type {7,14}_58 Order 406 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S * R^-1 * S * R^2 * S^-1 * R * S ] C59.5 : Type {7,14}_58 Order 406 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S^2 * R^-1 * S * R^2 * S^-2 * R * S, S^3 * R^-3 * S^-1 * R * S * R^-1 * S ] C59.6 : Type {7,14}_58 Order 406 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S * R * S^-1 * R^-3 * S * R^-3 * S ] C59.7 : Type {8,8}_58 Order 464 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R^-1 * S * R^2 * S^-2 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C59.8 : Type {8,8}_116 Order 464 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C59.9 : Type {12,12}_58 Order 348 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R^-2 * S * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S^-1 ] Genus 60 [None] Genus 61 C61.1 : Type {4,6}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1, (R * S^-1)^8, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R ] C61.2 : Type {4,12}_20 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^12, R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-2 * R * S^3 ] C61.3 : Type {4,16}_80 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^16 ] C61.4 : Type {4,16}_80 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-1 * R^-1 * S^2 * R * S^-2 * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] C61.5 : Type {4,28}_140 Order 560 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^28 ] C61.6 : Type {4,52}_130 Order 520 mV = 13 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^13 * R^2 * S * R^-1 * S^-2 * R * S^10 ] C61.7 : Type {6,6}_8 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, (S^-1 * R)^5, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] C61.8 : Type {6,18}_36 Order 432 mV = 6 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^-1 * S * R^-2 * S * R^3 * S^-1 * R * S * R^-1 * S^-2 ] C61.9 : Type {6,63}_126 Order 378 mV = 21 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-11 * R^3 * S^5 * R * S^-5 ] C61.10 : Type {12,12}_30 Order 360 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, R^12, S * R * S^-2 * R^3 * S * R^-1 * S^-1 * R * S ] C61.11 : Type {12,12}_30 Order 360 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-2 * S * R^3 * S * R^-1 * S^-2, S * R * S^-3 * R * S^4, R^12 ] C61.12 : Type {16,16}_40 Order 320 mV = 4 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^4 * S^-3, S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C61.13 : Type {16,16}_20 Order 320 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C61.14 : Type {16,16}_20 Order 320 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R^-1 * S^3 * R^-9 * S^3 ] C61.15 : Type {28,28}_10 Order 280 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-1 * S^4 * R^-1 * S * R^-3 * S * R^-9 * S * R^-1 * S^3 * R^-1 * S^2 ] C61.16 : Type {30,45}_18 Order 270 mV = 15 mF = 5 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-1 * R^3 * S^4, R^-1 * S * R^-1 * S * R^-8 * S^3 ] C61.17 : Type {52,52}_10 Order 260 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-2 * S^2 * R^-1 * S * R^-3 * S * R^-9 * S * R^-1 * S^3 * R^-1 * S ] Genus 62 C62.1 : Type {5,10}_122 Order 610 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 ] C62.2 : Type {5,10}_122 Order 610 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-3 ] C62.3 : Type {6,6}_122 Order 732 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^3 * R^-2 * S^-1 * R * S^-2 * R * S^2 ] Genus 63 C63.1 : Type {3,12}_248 Order 1488 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C63.2 : Type {35,35}_4 Order 280 mV = 5 mF = 5 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-1 * S, R^-22 * S^2 * R^-10 * S ] Genus 64 C64.1 : Type {3,12}_42 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C64.2 : Type {3,18}_42 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S * R * S^-5 * R * S^6, (S^2 * R^-1 * S^2)^3, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] C64.3 : Type {3,24}_84 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^-2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-1 * R * S^-3 * R * S^-1, S * R * S^-5 * R^-1 * S * R^-1 * S^-5 * R * S^2 ] C64.4 : Type {6,6}_42 Order 756 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] C64.5 : Type {6,6}_42 Order 756 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C64.6 : Type {6,6}_42 Order 756 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, S^-1 * R * S^-3 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R * S^-1 ] C64.7 : Type {6,12}_84 Order 504 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, R * S^-3 * R^2 * S * R^-1 * S^-2, S^12 ] C64.8 : Type {6,12}_84 Order 504 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^12, R^-1 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-2 * S^-2 ] C64.9 : Type {6,12}_84 Order 504 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S^2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S ] C64.10 : Type {6,12}_84 Order 504 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R * S^-1 * R^3 * S^-1 * R^2 * S^-2 ] C64.11 : Type {6,30}_70 Order 420 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, R * S^-3 * R^2 * S * R^-1 * S^-2, S^-3 * R^-1 * S^2 * R^-2 * S^4 * R^-1 * S^-1 ] C64.12 : Type {6,30}_70 Order 420 mV = 10 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^-1 * S^3 * R^-2 * S * R^-2 * S * R^-1 * S^-5 ] C64.13 : Type {8,12}_24 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-3)^2, S^-1 * R * S^-1 * R^4 * S^-1 * R^3 * S^-1, R^2 * S^-2 * R^3 * S^2 * R^-1 * S^-2 ] C64.14 : Type {8,12}_8 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-3)^2, R * S^-2 * R^3 * S^-1 * R * S^-1 * R ] C64.15 : Type {8,12}_24 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-3)^2, S^-1 * R^-1 * S * R^3 * S^-1 * R * S^-1 * R ] C64.16 : Type {9,18}_42 Order 378 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] C64.17 : Type {12,24}_56 Order 336 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S * R^-1 * S^2 * R^2 * S^3 * R^-1 ] C64.18 : Type {12,24}_56 Order 336 mV = 8 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S^-1 * R^-1 * S * R^3 * S^-1 * R^2 * S^-1 ] C64.19 : Type {18,18}_18 Order 324 mV = 3 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^3 * R^-1, S * R * S^-1 * R^3 * S^2 * R^-2, S^-1 * R^2 * S^-2 * R^9 * S^-2 * R * S^-1 ] C64.20 : Type {21,42}_14 Order 294 mV = 7 mF = 7 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^12 * S^-2 * R * S^-1 * R * S^-3 * R ] Genus 65 C65.1 : Type {4,6}_48 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 ] C65.2 : Type {4,8}_16 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (R * S^-2)^4, S * R * S^-3 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R ] C65.3 : Type {4,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] C65.4 : Type {4,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-5)^2, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S * R^-1 * S * R * S^-2 * R^2 * S^-1 * R * S^3 * R^-1 ] C65.5 : Type {4,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, (R * S^-2)^4, (R * S^-5)^2, S^12 ] C65.6 : Type {4,12}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, (R * S^-5)^2, S^12, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^-2 ] C65.7 : Type {5,6}_10 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, S^6, (S^-1 * R)^5, (R * S^-2)^4, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-2 * S ] C65.8 : Type {6,6}_16 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, (R * S^-2)^4, R^2 * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] C65.9 : Type {6,6}_16 Order 768 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-1 * R^2 * S * R^-1 * S, R^-1 * S * R^2 * S^-2 * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^2 ] C65.10 : Type {6,6}_8 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2, (S^-1 * R^2 * S^-1)^3 ] C65.11 : Type {6,15}_10 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R^-3 * S^2 * R^-1 * S^-1, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] C65.12 : Type {8,8}_16 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^8, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ] C65.13 : Type {8,8}_8 Order 512 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1)^4, S^8, R^-2 * S * R^3 * S^-1 * R * S^2, S^2 * R^-1 * S * R^2 * S^-2 * R * S ] C65.14 : Type {8,8}_8 Order 512 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S^8, R^-2 * S * R^3 * S^-1 * R * S^2, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] C65.15 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^12, S^-1 * R^6 * S^-5, R^2 * S^-2 * R^3 * S^-1 * R * S^-3 ] C65.16 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^12, S^-1 * R^6 * S^-5, R^2 * S^-2 * R^3 * S^-1 * R * S^3 ] C65.17 : Type {12,12}_8 Order 384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S^-1 * R * S^-2 ] C65.18 : Type {14,21}_12 Order 336 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S^4, S^-1 * R^-5 * S * R^-3 * S^-1 ] Genus 66 [None] Genus 67 C67.1 : Type {9,12}_72 Order 432 mV = 2 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, (R * S^-5)^2, R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S^2 ] C67.2 : Type {15,30}_22 Order 330 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S^4, R^-2 * S * R^3 * S^-1 * R * S^2, R^-3 * S * R^-9 * S * R^-1 ] C67.3 : Type {15,30}_22 Order 330 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^2 * R^-1 * S * R^2 * S^-2 * R * S, R^-2 * S * R^-9 * S * R^-2 ] Genus 68 C68.1 : Type {6,6}_134 Order 804 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-2 * R^-2 * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] Genus 69 C69.1 : Type {4,8}_136 Order 1088 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R^2 * S ] C69.2 : Type {4,8}_68 Order 1088 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R^-1 * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-2 * S ] C69.3 : Type {4,12}_204 Order 816 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S ] C69.4 : Type {4,20}_170 Order 680 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 * S^-2 ] C69.5 : Type {8,8}_68 Order 544 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] C69.6 : Type {8,8}_68 Order 544 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] C69.7 : Type {8,8}_68 Order 544 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R * S^-1 * R^4 * S^3 * R^-1 * S ] C69.8 : Type {12,12}_34 Order 408 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] C69.9 : Type {20,20}_34 Order 340 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-1 * R * S^-2 * R^2 * S^-1 * R * S^-1 * R ] Genus 70 C70.1 : Type {6,72}_72 Order 432 mV = 24 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^12 * R^3 * S^-1 * R * S^11 ] Genus 71 C71.1 : Type {4,32}_160 Order 640 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^32 ] C71.2 : Type {4,32}_160 Order 640 mV = 8 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2 * R, S * R * S^-6 * R^-1 * S * R^2 * S * R^-1 * S^-5 * R * S^2 ] C71.3 : Type {4,60}_30 Order 600 mV = 15 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^15 * R * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^8 ] C71.4 : Type {6,33}_154 Order 462 mV = 11 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-1 * S, R * S^-4 * R^-1 * S * R^-3 * S^-1 * R * S^5 ] C71.5 : Type {8,12}_120 Order 480 mV = 3 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^12 ] C71.6 : Type {8,12}_120 Order 480 mV = 3 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1, S^12 ] C71.7 : Type {8,40}_10 Order 400 mV = 10 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R^-1 * S^2 * R * S^-2 * R^2 * S^-6 ] C71.8 : Type {8,40}_20 Order 400 mV = 10 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^6 ] C71.9 : Type {24,24}_14 Order 336 mV = 4 mF = 8 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S^2 * R^-1 * S, S^2 * R^-2 * S * R^-14 * S^5 ] C71.10 : Type {24,24}_28 Order 336 mV = 4 mF = 8 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S^2 * R^-1 * S * R^2 * S^-2 * R * S, R^8 * S^-1 * R^2 * S^-1 ] C71.11 : Type {32,32}_10 Order 320 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, S^14 * R^-11 * S * R^-3 * S^3 ] C71.12 : Type {32,32}_20 Order 320 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1, R^-1 * S^3 * R^-7 * S^2 * R^-1 * S * R^-1 ] C71.13 : Type {60,60}_10 Order 300 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-1 * S^6 * R^-1 * S * R^-3 * S * R^-9 * S * R^-1 * S^3 * R^-1 * S * R^-1 ] Genus 72 C72.1 : Type {5,10}_142 Order 710 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R * S^-1 * R^-2 * S^4 * R^-1 * S ] C72.2 : Type {5,10}_142 Order 710 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-5, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-4 ] Genus 73 C73.1 : Type {3,10}_24 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^10, S^2 * R * S^-2 * R * S^-4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S, S * R * S^-3 * R * S^-3 * R * S^-1 * R * S^-4 * R * S^-2 * R * S^2 ] C73.2 : Type {4,7}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^-7, (R * S^-1)^6, 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 * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-3 * R ] C73.3 : Type {4,8}_12 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (R * S^-2)^4, S^-2 * R * S^-3 * R^2 * S^-1 * R * S^-1 * R * S^-2 ] C73.4 : Type {4,8}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S ] C73.5 : Type {8,8}_24 Order 576 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1)^4, S^8, S * R * S^-1 * R^4 * S^-1 * R^3 * S ] C73.6 : Type {8,8}_12 Order 576 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^4 * S^-1 * R * S^-3 ] C73.7 : Type {8,8}_8 Order 576 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^8, S * R^2 * S^-2 * R^2 * S^-1 * R * S^-1 * R * S, R * S^-4 * R^2 * S * R^-1 * S^-3 ] C73.8 : Type {8,8}_8 Order 576 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^-3 * R * S^-1 * R^2 * S^-3 * R * S^-1 ] C73.9 : Type {8,24}_6 Order 432 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1)^4, S * R * S^-1 * R^3 * S^4 ] C73.10 : Type {21,42}_4 Order 336 mV = 6 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S^2, R * S^-1 * R * S^-4 * R * S^-1 * R^8 * S^-4 ] Genus 74 C74.1 : Type {6,6}_146 Order 876 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^6, R^-2 * S^-1 * R * S^-1 * R^2 * S^2 * R^2 * S^-1 * R * S^-1 * R^4 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-2 * R^-2 * S ] C74.2 : Type {8,8}_146 Order 584 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R * S^-1 * R^-1 * S * R^3 * S^-1 * R^2 * S^2 ] Genus 75 C75.1 : Type {3,12}_296 Order 1776 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C75.2 : Type {4,8}_296 Order 1184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 * R * S^-1 ] C75.3 : Type {4,8}_296 Order 1184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R * S^-1 * R * S^-1 ] C75.4 : Type {4,12}_222 Order 888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-2 ] C75.5 : Type {8,8}_74 Order 592 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-2 * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S ] C75.6 : Type {8,8}_148 Order 592 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S * R^-2 * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] C75.7 : Type {12,12}_74 Order 444 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] C75.8 : Type {12,12}_74 Order 444 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, (S^-1 * R)^3, R^12, (R * S^-2 * R^3)^2, S^-1 * R^-1 * S * R^4 * S * R^-3 * S^-1 ] Genus 76 C76.1 : Type {9,24}_36 Order 432 mV = 2 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, S^4 * R^-2 * S^-3 * R * S ] Genus 77 C77.1 : Type {6,6}_76 Order 912 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-3 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] C77.2 : Type {6,15}_190 Order 570 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S * R^-2 * S * R^-1 * S * R^-1 * S ] C77.3 : Type {12,12}_38 Order 456 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S^-1 * R * S^-2 * R * S^-1 * R^-2 * S^3 * R^-1 * S * R^-1 * S^-2 ] C77.4 : Type {42,42}_4 Order 336 mV = 6 mF = 6 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-1 * S, R^-28 * S^2 * R^-10 * S * R^-1 ] Genus 78 C78.1 : Type {10,20}_44 Order 440 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, R * S^-2 * R^3 * S^-1 * R^2 * S^-1, R * S^-1 * R * S^-1 * R^2 * S^-4 ] C78.2 : Type {10,20}_44 Order 440 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, S * R * S^-1 * R^3 * S * R^-2 * S, S^-3 * R^3 * S^-1 * R * S^-2 ] C78.3 : Type {10,20}_44 Order 440 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, R * S^-1 * R^4 * S^-3 * R ] C78.4 : Type {10,20}_44 Order 440 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, (R * S^-2 * R^2)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-3 * R^2 * S^-2 * R * S^-1 ] Genus 79 C79.1 : Type {3,12}_312 Order 1872 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S * R^-1 * S^3 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S ] C79.2 : Type {4,16}_208 Order 832 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^16, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 ] C79.3 : Type {4,16}_208 Order 832 mV = 4 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^16, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] C79.4 : Type {4,28}_182 Order 728 mV = 7 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^2 * R^2 * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^2 * S^-1 * R * S^7 ] C79.5 : Type {6,9}_234 Order 702 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R^-1 * S * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-2 ] C79.6 : Type {6,9}_234 Order 702 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R ] C79.7 : Type {6,9}_234 Order 702 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * S^-1 * R^2 * S^-2 ] C79.8 : Type {6,12}_104 Order 624 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^-3 * S^-4, S * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S ] C79.9 : Type {6,21}_182 Order 546 mV = 7 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S * R^-2 * S * R^2 * S * R^-1 * S^-1 * R * S^2 ] C79.10 : Type {6,81}_162 Order 486 mV = 27 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-14 * R^3 * S * R^-1 * S^-12 ] C79.11 : Type {12,18}_72 Order 432 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, (R * S^-2)^2, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R * S ] C79.12 : Type {12,18}_18 Order 432 mV = 6 mF = 1 Defining relations for automorphism group: [ (R * S)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, R^12, S * R * S^-1 * R^5 * S * R^-2 * S^3 ] C79.13 : Type {15,30}_26 Order 390 mV = 5 mF = 5 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^2, R^-15 ] C79.14 : Type {16,16}_26 Order 416 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S, S^-3 * R * S^-1 * R^8 * S^-2 * R ] C79.15 : Type {16,16}_52 Order 416 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C79.16 : Type {28,28}_26 Order 364 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S, R * S^-1 * R^6 * S^-1 * R * S^-1 * R * S^-2 ] Genus 80 C80.1 : Type {6,6}_158 Order 948 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R^2 * S^-3 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 * R * S^-1 ] Genus 81 C81.1 : Type {4,8}_10 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] C81.2 : Type {4,8}_20 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R * S^-3 ] C81.3 : Type {4,8}_20 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * R * S^-1 * R, S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2 ] C81.4 : Type {4,8}_40 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 ] C81.5 : Type {4,8}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 ] C81.6 : Type {4,8}_40 Order 1280 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-3 * R^2 * S^4 * R^-1, R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] C81.7 : Type {4,8}_80 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 * R * S^-1 ] C81.8 : Type {4,12}_60 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-2)^4, S^12, S * R^-1 * S * R * S^-3 * R^-2 * S^-1 * R * S^-3 * R * S ] C81.9 : Type {4,12}_120 Order 960 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R * S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] C81.10 : Type {4,20}_20 Order 800 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2 * R, S^20 ] C81.11 : Type {4,36}_180 Order 720 mV = 9 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^36 ] C81.12 : Type {4,68}_170 Order 680 mV = 17 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^17 * R^2 * S * R^-1 * S^-2 * R * S^14 ] C81.13 : Type {6,8}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-3)^2, S^8, S * R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^2 * R^-2, S * R^2 * S^-2 * R^3 * S^-1 * R * S^2 * R^-2 ] C81.14 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^8, S^-2 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R * S^-3 ] C81.15 : Type {6,8}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-3)^2, S^8, (R * S^-1 * R)^4, R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 ] C81.16 : Type {6,8}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-3)^2, S^8, R * S^-2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] C81.17 : Type {6,8}_24 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1 * R * S^-2 * R)^2, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 ] C81.18 : Type {6,8}_24 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1)^4, S^8, S^2 * R^-1 * S * R^3 * S^-2 * R^2 * S ] C81.19 : Type {8,8}_10 Order 640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^8, S^-1 * R * S^-1 * R^3 * S^-3 * R ] C81.20 : Type {8,8}_10 Order 640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S * R^-1 * S * R^2 * S^-1 * R * S, S * R * S^-2 * R^3 * S * R^-2 * S^2, (R * S^-1 * R)^4 ] C81.21 : Type {8,8}_10 Order 640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^8, S^-3 * R^3 * S^-2 * R^2 ] C81.22 : Type {8,8}_40 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S ] C81.23 : Type {8,8}_20 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] C81.24 : Type {8,8}_40 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, S^-1 * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R ] C81.25 : Type {8,8}_40 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^8, R^-1 * S * R^2 * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S ] C81.26 : Type {8,8}_20 Order 640 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] C81.27 : Type {8,8}_40 Order 640 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^8, S^3 * R^3 * S^3 * R^-1, R^-1 * S * R^2 * S^-2 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 ] C81.28 : Type {8,8}_40 Order 640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-2 ] C81.29 : Type {8,16}_8 Order 512 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S * R * S^-2 * R^2 * S * R^-1 * S^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] C81.30 : Type {8,16}_8 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S * R * S^-2 * R^2 * S * R^-1 * S^2 ] C81.31 : Type {8,16}_8 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-3)^2, R^-2 * S * R^3 * S^-1 * R * S^2 ] C81.32 : Type {8,16}_8 Order 512 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, R^-2 * S * R^3 * S^-1 * R * S^2, S * R * S^-3 * R * S^4 ] C81.33 : Type {8,16}_8 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S^2 * R^2 * S^-1 * R * S^-2 ] C81.34 : Type {8,24}_60 Order 480 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-6 ] C81.35 : Type {8,24}_60 Order 480 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-6 ] C81.36 : Type {12,12}_20 Order 480 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R^12, S^-2 * R^5 * S^-1 * R * S^-1 * R^2 ] C81.37 : Type {12,12}_20 Order 480 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 ] C81.38 : Type {16,48}_24 Order 384 mV = 12 mF = 4 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-3)^2, S^-1 * R^6 * S * R^-1 * S^-1 * R * S^-1, S^-3 * R^2 * S^-2 * R * S * R^-1 * S^-6 ] C81.39 : Type {20,20}_20 Order 400 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1, R^3 * S^-3 * R * S^-1 * R^6 * S^-2 * R * S^-1 * R * S^-1 ] C81.40 : Type {36,36}_10 Order 360 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-2 * S^9 * R^-2 * S * R^-3 * S^2 * R^-8 * S * R^-3 * S^5 ] C81.41 : Type {68,68}_10 Order 340 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R^-1 * S * R^-8 * S * R^-2 * S * R^-11 * S * R^-3 * S^5 ] Genus 82 C82.1 : Type {3,8}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^8, (R * S^-2)^6, S * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2, S^-1 * R^-1 * S^3 * R * S^-3 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-2 ] C82.2 : Type {3,24}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^-1 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S^7 * R^-1 * S^-8 ] C82.3 : Type {4,8}_8 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-1 ] C82.4 : Type {4,12}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * S^-1 ] C82.5 : Type {4,12}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3 * R * S^-1)^2, S^-4 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] C82.6 : Type {4,12}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3 * R * S^-1)^2, S^12, R * S^-2 * R * S^-2 * R^2 * S^-1 * R * S^-4 ] C82.7 : Type {4,40}_40 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-3 * R^2 * S^-1 * R * S^-3, S^-10 * R^2 * S^-5 * R * S^2 * R^-1 * S^-3 ] C82.8 : Type {6,6}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-2, (R * S^-1)^6, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-2 * S^-1 ] C82.9 : Type {8,8}_18 Order 648 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R * S ] C82.10 : Type {9,18}_6 Order 486 mV = 1 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, (S * R^-1 * S)^3, R^-1 * S * R * S^-5 * R^-1 * S^6 ] C82.11 : Type {9,18}_18 Order 486 mV = 1 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-2, R^-1 * S * R * S^-5 * R^-1 * S^6 ] C82.12 : Type {9,18}_18 Order 486 mV = 1 mF = 3 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R^-9, S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S, S^2 * R * S^-5 * R^-2 * S^5 ] C82.13 : Type {12,24}_8 Order 432 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-3, R^-1 * S^3 * R^2 * S^2 * R^-1 * S ] C82.14 : Type {40,40}_6 Order 360 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S * R^5 * S^3 * R^-1, R^-2 * S^2 * R^-13 * S * R^-2 ] Genus 83 C83.1 : Type {4,8}_328 Order 1312 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S * R^-1 * S * R ] C83.2 : Type {4,8}_328 Order 1312 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R ] C83.3 : Type {4,12}_246 Order 984 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R * S^3 * 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 ] C83.4 : Type {8,8}_82 Order 656 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] C83.5 : Type {8,8}_164 Order 656 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R ] C83.6 : Type {8,8}_82 Order 656 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S^-1 * R * S^-3 * R^2 * S * R^-1 * S^-3 ] C83.7 : Type {12,12}_82 Order 492 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R^2 * S^-2 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] Genus 84 [None] Genus 85 C85.1 : Type {3,12}_84 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C85.2 : Type {6,6}_84 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-2, S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R * S^-1 * R^2 ] C85.3 : Type {6,6}_84 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^6, R * S^2 * R^2 * S * R^-1 * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S * R^2 * S^-1 * R ] C85.4 : Type {6,12}_56 Order 672 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, (R * S^-5)^2, S * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ] C85.5 : Type {6,12}_28 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-1 * R * S^-3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S ] C85.6 : Type {6,12}_56 Order 672 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-2 * R * S^3, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, S * R^-2 * S * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-2 ] C85.7 : Type {6,12}_28 Order 672 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^12, R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S^-1 * R * S^2 ] C85.8 : Type {6,15}_210 Order 630 mV = 5 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-1 * S, S^-15 ] C85.9 : Type {6,39}_182 Order 546 mV = 13 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-2 * S * R^-1 * S, S^-3 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R^2 * S^-7 ] C85.10 : Type {9,18}_28 Order 504 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * R * S^-2 ] C85.11 : Type {12,12}_42 Order 504 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, R^12, S * R^-1 * S^2 * R * S^-1 * R^-2 * S^3 * R^-1 * S^2 * R^-1 * S ] C85.12 : Type {12,12}_42 Order 504 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^-2 * S * R^3 * S * R^-1 * S^-2, R^12, S^-1 * R^6 * S^-5 ] C85.13 : Type {12,36}_36 Order 432 mV = 6 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^6 * R^-3 * S^-1 * R * S^5 ] C85.14 : Type {27,54}_14 Order 378 mV = 9 mF = 9 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S^2 * R^-1 * S, R * S^-5 * R * S^-2 * R^11 * S^-4 * R * S^-1 * R ] Genus 86 C86.1 : Type {24,24}_34 Order 408 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, R^-2 * S * R^3 * S * R^-1 * S^-2, S^-1 * R^6 * S^-1 * R * S^-3 ] Genus 87 C87.1 : Type {3,12}_344 Order 2064 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^-3 * R * S^-1 ] C87.2 : Type {7,14}_86 Order 602 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, R^-2 * S * R^3 * S * R^-1 * S^-2 ] C87.3 : Type {7,14}_86 Order 602 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, S^-1 * R^-1 * S * R^-3 * S^3 * R^-1 * S^-1 ] C87.4 : Type {7,14}_86 Order 602 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-7, R^-2 * S * R^3 * S^-1 * R * S^2 ] Genus 88 C88.1 : Type {6,90}_90 Order 540 mV = 30 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^15 * R^3 * S^-1 * R * S^14 ] C88.2 : Type {12,72}_72 Order 432 mV = 24 mF = 2 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, R * S^-6 * R^2 * S^-1 * R * S^5 ] C88.3 : Type {18,24}_72 Order 432 mV = 4 mF = 3 Defining relations for automorphism group: [ (R * S)^2, R^-1 * S * R^4 * S^-2 * R * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5 ] C88.4 : Type {18,24}_36 Order 432 mV = 2 mF = 6 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3, S^-1 * R * S^-3 * R^-2 * S^-6 ] C88.5 : Type {42,63}_18 Order 378 mV = 21 mF = 7 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-1 * R^3 * S^4, S^-1 * R^3 * S^-2 * R * S^-2 * R^8 * S^-1 * R^2 * S^-1 ] Genus 89 C89.1 : Type {4,48}_24 Order 768 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S^4 * R^-1 * S^-5 * R * S ] C89.2 : Type {14,28}_4 Order 448 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^6 * S^3 * R^-2, R^14 ] C89.3 : Type {20,20}_22 Order 440 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, S^2 * R^-1 * S * R^2 * S^-2 * R * S, R^-1 * S * R^-3 * S * R^-1 * S * R^-8 * S^3 * R^-1 ] C89.4 : Type {20,20}_22 Order 440 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^3 * S^4, R^-2 * S * R^3 * S^-1 * R * S^2, R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-9 * S^2 ] C89.5 : Type {48,48}_8 Order 384 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^-1 * R^6 * S^-1 * R^2 * S^-2 ] Genus 90 C90.1 : Type {8,8}_178 Order 712 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R * S^-3 * R^3 * S^-1 * R * S^-3 ] Genus 91 C91.1 : Type {4,8}_40 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-3, S^-1 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2 ] C91.2 : Type {4,8}_40 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-2)^4 ] C91.3 : Type {4,8}_120 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 ] C91.4 : Type {4,8}_120 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^2 * S^-1 ] C91.5 : Type {4,12}_30 Order 1080 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-3 * R * S^4, S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1, S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 ] C91.6 : Type {4,12}_30 Order 1080 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] C91.7 : Type {4,24}_24 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-3 * R^2 * S^-1 * R * S^-3, S^24 ] C91.8 : Type {4,40}_40 Order 800 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-2 * R, S^-9 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-6 ] C91.9 : Type {4,40}_40 Order 800 mV = 10 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^40 ] C91.10 : Type {4,76}_190 Order 760 mV = 19 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^19 * R * S^-1 * R * S^5 * R^-1 * S^-1 * R * S^12 ] C91.11 : Type {6,8}_12 Order 864 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^8, R^-1 * S * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] C91.12 : Type {6,8}_12 Order 864 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^8, S^-2 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1, (S^-1 * R^2 * S^-1)^3 ] C91.13 : Type {8,8}_30 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S * R^-1 * S * R^2 * S^-1 * R * S, R^-2 * S^2 * R^3 * S * R^-1 * S^-3 ] C91.14 : Type {8,8}_30 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^8, S^-1 * R^-1 * S * R^4 * S^-1 * R * S^-3, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-1 * R * S^-1 ] C91.15 : Type {8,8}_30 Order 720 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-2 * R * S^-1 * R ] C91.16 : Type {8,8}_60 Order 720 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^2 * S^-1 * R * S^-1 * R ] C91.17 : Type {8,16}_16 Order 576 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S, S * R * S^-3 * R^2 * S^-1 * R * S^3 ] C91.18 : Type {8,16}_16 Order 576 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, S^-1 * R * S^-3 * R^2 * S^-1 * R * S^-3 ] C91.19 : Type {12,12}_30 Order 540 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^-1 * R ] C91.20 : Type {12,12}_30 Order 540 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^4 * S^-3, R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R ] C91.21 : Type {12,24}_40 Order 480 mV = 6 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] C91.22 : Type {12,24}_40 Order 480 mV = 6 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-3, S * R * S^-3 * R * S^4, R^12, S^-2 * R^5 * S^-3 * R * S^-1, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] C91.23 : Type {24,24}_6 Order 432 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^-1 * S * R^2 * S^-1 * R * S, S * R^5 * S * R^-1 * S^2, R^-1 * S^4 * R^-5 * S * R^-2 * S * R^-6 * S * R^-1 * S * R^-1 ] C91.24 : Type {40,40}_10 Order 400 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, S^-1 * R^13 * S^-1 * R * S^-3 * R^3 * S^-1 * R^9 * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C91.25 : Type {40,40}_20 Order 400 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, R * S^-1 * R * S^-3 * R * S^-1 * R^6 * S^-1 * R * S^-1 * R^2 * S^-1 ] C91.26 : Type {49,49}_4 Order 392 mV = 7 mF = 7 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-1 * S, R * S^-1 * R^31 * S^-2 * R^14 ] C91.27 : Type {76,76}_10 Order 380 mV = 19 mF = 19 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, R * S^-1 * R^11 * S^-1 * R * S^-3 * R^3 * S^-1 * R^10 * S^-2 * R^2 * S^-1 * R ] Genus 92 C92.1 : Type {6,6}_182 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^2 * R^-1 * S^3 ] C92.2 : Type {6,6}_182 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^-1 ] C92.3 : Type {6,6}_182 Order 1092 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] C92.4 : Type {6,6}_182 Order 1092 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] C92.5 : Type {6,24}_104 Order 624 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-2 * R^2 * S^-1 * R^2 * S^-5, R * S^-3 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] C92.6 : Type {6,24}_104 Order 624 mV = 8 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^2 * S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S^-5 ] C92.7 : Type {6,42}_14 Order 588 mV = 14 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-1 * S * R^-3 * S * R^-2 * S * R^-2 * S, S^4 * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R * S^7 ] C92.8 : Type {6,42}_14 Order 588 mV = 7 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R^-1 * S * R^2 * S^-3 * R, S^-6 * R^2 * S^-1 * R^2 * S^-7 ] C92.9 : Type {18,18}_26 Order 468 mV = 3 mF = 6 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^2, S^-1 * R^12 * S^-5 ] C92.10 : Type {30,30}_14 Order 420 mV = 5 mF = 10 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, S * R^2 * S^-1 * R^2 * S^4, S * R * S^-2 * R^2 * S * R^-1 * S^2, R^2 * S^-7 * R^12 * S^-3 * R^3 * S^-2 * R ] Genus 93 C93.1 : Type {8,64}_64 Order 512 mV = 16 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^8 * R * S^-2 * R * S * R^-1 * S^-1 * R * S^4 ] C93.2 : Type {11,22}_46 Order 506 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1, R^-11, S * R^-5 * S * R^-2 * S^2 ] C93.3 : Type {11,22}_46 Order 506 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-1 * S^2, R^-11 ] C93.4 : Type {11,22}_46 Order 506 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R^-1 * S * R^3 * S^-1 * R * S * R^-1, R^-11 ] C93.5 : Type {11,22}_46 Order 506 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R * S^-2 * R^2 * S^2 * R^-1 * S, R^-11 ] C93.6 : Type {11,22}_46 Order 506 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-11, S * R^-5 * S^2 * R^-1 * S * R^-1 ] Genus 94 C94.1 : Type {3,12}_186 Order 2232 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (S^2 * R^-1 * S^2)^3, S * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] C94.2 : Type {6,6}_186 Order 1116 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-3 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^2 ] C94.3 : Type {6,6}_186 Order 1116 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-2 * S^-1 ] C94.4 : Type {6,12}_124 Order 744 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, S * R^2 * S^-1 * R^2 * S^4, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-2 ] C94.5 : Type {6,12}_124 Order 744 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^12, R * S^-1 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R ] C94.6 : Type {9,18}_62 Order 558 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S * R^-2, R^-9, S^2 * R^-3 * S^4, S * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S^-1 * R * S ] C94.7 : Type {10,10}_62 Order 620 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^10, (R * S^-1 * R^3)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 ] C94.8 : Type {10,10}_62 Order 620 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^10, (R * S^-1 * R^3)^2, (R * S^-3 * R)^2, (R * S^-2 * R * S^-1)^2, S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S ] C94.9 : Type {24,36}_72 Order 432 mV = 6 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^3 * S^-4 ] Genus 95 [None] Genus 96 C96.1 : Type {10,50}_50 Order 500 mV = 10 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, R * S^-1 * R^4 * S^-1 * R * S^-2, S * R * S^-3 * R^3 * S^6 ] C96.2 : Type {10,50}_50 Order 500 mV = 10 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^10, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-6 ] Genus 97 C97.1 : Type {3,12}_48 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^12, (R * S^-4 * R * S^-3)^2, S * R^-1 * S^3 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S ] C97.2 : Type {3,24}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, S^2 * R^-1 * S^4 * R * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S, S * R^-1 * S^2 * R^-1 * S^3 * R * S^-1 * R * S^-4 * R * S^3 ] C97.3 : Type {4,5}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^-5, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R ] C97.4 : Type {4,6}_16 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^6, S^-1 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-2 * R ] C97.5 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^2 * R * S^-1 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2 ] C97.6 : Type {4,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-3 * R^2 * S^-3 * R * S, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R ] C97.7 : Type {5,5}_24 Order 1920 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^-5, S^-5, (R * S^-1)^6, S^-1 * R^-2 * S^2 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R ] C97.8 : Type {6,6}_12 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, R * S^-3 * R^-2 * S * R^-1 * S^-2 * R ] C97.9 : Type {6,6}_24 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, (R * S^-1 * R)^4, (R * S^-2 * R * S^-1 * R)^2, (R * S^-1 * R * S^-2 * R)^2, R * S^-2 * R * S^-2 * R^2 * S * R^-1 * S^-1 * R * S^2 ] C97.10 : Type {6,6}_24 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^6, S^6, R^-1 * S * R^2 * S^-1 * R^2 * S^-2 * R * S^-2, S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^-2 * R^2 ] C97.11 : Type {6,9}_72 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-9, R^-1 * S * R^-2 * S * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S^-1 * R^2 * S^-1 * R^2 * S^-2 ] C97.12 : Type {6,12}_16 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2, S^-2 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R ] C97.13 : Type {6,12}_8 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S^-2 * R * S^-1 * R^2 * S * R^-1 * S^-2, (R * S^-1 * R)^4 ] C97.14 : Type {6,12}_16 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, R * S^-3 * R^-2 * S * R^-1 * S * R^-1 * S, (R * S^-2 * R * S^-1 * R)^2, S^-1 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * R^-1 * S^-1 ] C97.15 : Type {6,27}_108 Order 648 mV = 9 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S * R^-2 * S^4 ] C97.16 : Type {6,99}_198 Order 594 mV = 33 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R, S^-17 * R^3 * S * R^-1 * S^-15 ] C97.17 : Type {15,30}_4 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^6 * S * R^-1 * S * R^-1 * S, R^-15 ] C97.18 : Type {16,16}_16 Order 512 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^-2 * R ] C97.19 : Type {16,16}_8 Order 512 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^-2 * S * R^3 * S^-1 * R * S^2, S^2 * R^-1 * S * R^2 * S^-2 * R * S, R * S^-1 * R^5 * S * R^-1 * S^-2 * R ] C97.20 : Type {16,16}_8 Order 512 mV = 2 mF = 2 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1)^4, S * R * S^-1 * R^3 * S * R^-2 * S, S^2 * R^-1 * S * R^2 * S^-2 * R * S ] C97.21 : Type {16,16}_16 Order 512 mV = 2 mF = 4 Defining relations for automorphism group: [ (R * S)^2, (R * S^-1 * R^2)^2, S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S * R^6 * S^-2 * R * S^3 ] C97.22 : Type {24,72}_18 Order 432 mV = 24 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R * S^-1 * R^3 * S^4, S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-9 * S * R^-2 * S * R^-1 ] C97.23 : Type {24,72}_36 Order 432 mV = 24 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^2 * S^-1 * R^4 * S^-5 ] C97.24 : Type {28,28}_4 Order 448 mV = 4 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S * R^5 * S * R^-1 * S^2, R^-4 * S^9 * R^-2 * S * R^-9 * S * R^-1 * S ] Genus 98 C98.1 : Type {6,6}_194 Order 1164 mV = 1 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^6, (R * S^-1 * R)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] C98.2 : Type {8,8}_194 Order 776 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, S * R * S^-3 * R^2 * S * R^-1 * S^-1 * R * S ] Genus 99 C99.1 : Type {3,12}_392 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^-3, (R * S)^2, (R * S^-5)^2, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] C99.2 : Type {12,12}_14 Order 588 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, (S^-1 * R)^3, R^12, (R * S^-2 * R^3)^2, S^-1 * R^-1 * S * R^4 * S^3 * R^-1 * S^-1 ] Genus 100 C100.1 : Type {6,36}_36 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S * R * S^-2 * R^3 * S^-2 * R * S * R^-1, S^-5 * R^-1 * S * R^-2 * S^3 * R^-1 * S^-3 ] C100.2 : Type {18,27}_54 Order 486 mV = 3 mF = 3 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^2 * R^-1 * S, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R * S^-1 * R^-3 * S^6 ] C100.3 : Type {18,27}_54 Order 486 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S^3 * R^-2 * S * R^-1 * S * R^-1 ] C100.4 : Type {18,27}_54 Order 486 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, S * R^-4 * S * R^-2 * S ] C100.5 : Type {18,27}_54 Order 486 mV = 3 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^-1 * S * R^-3 * S^4 ] Genus 101 C101.1 : Type {4,8}_200 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] C101.2 : Type {4,8}_100 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^8, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] C101.3 : Type {4,8}_10 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, (S^-1 * R)^5, S * R^-1 * S * R * S^-3 * R^-2 * S^-1 * R * S^4 * R^-1, R^-1 * S * R^-1 * S^2 * R * S^-1 * R^2 * S^-2 * R * S^-2 * R * S^-1 ] C101.4 : Type {4,8}_50 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S^8, S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-2 * R * S^3 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-2 ] C101.5 : Type {4,8}_8 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-1)^4, S^8, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-4 * R^-2 * S^2 * R^-1 * S^-2 * R * S^-2 * R ] C101.6 : Type {4,12}_12 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-2)^4, S^12, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-2 * R, S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-3 ] C101.7 : Type {4,12}_300 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^12, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] C101.8 : Type {4,12}_10 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3 * R * S^-1)^2, S^12, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^3 * R^-1 * S^-2, S * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 ] C101.9 : Type {4,20}_50 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-2 * R * S^3 ] C101.10 : Type {4,20}_10 Order 1000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, (R * S^-2)^4, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^2 * R^-1 * S^-3 ] C101.11 : Type {4,24}_30 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, R * S^-1 * R * S^-2 * R^2 * S^-5 ] C101.12 : Type {4,24}_60 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S, S * R * S^-1 * R * S^-2 * R^2 * S^6 ] C101.13 : Type {4,24}_120 Order 960 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^24 ] C101.14 : Type {4,24}_60 Order 960 mV = 6 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R^-1 * S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-3 ] C101.15 : Type {4,44}_220 Order 880 mV = 11 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^44 ] C101.16 : Type {4,84}_210 Order 840 mV = 21 mF = 1 Defining relations for automorphism group: [ R^4, (R * S)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, S^21 * R^2 * S^2 * R^-1 * S^-2 * R * S^17 ] C101.17 : Type {8,8}_20 Order 800 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-2 * R)^2, (R * S^-1)^4, R^-3 * S * R^4 * S^-1 * R^2 * S * R^-1 * S ] C101.18 : Type {8,8}_4 Order 800 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^8, R^-3 * S * R^4 * S^-1 * R^2 * S * R^-1 * S ] C101.19 : Type {8,8}_100 Order 800 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, S^2 * R^-2 * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 ] C101.20 : Type {8,8}_100 Order 800 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^8, S^-1 * R^4 * S^-3, R * S^2 * R^-2 * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] C101.21 : Type {8,16}_80 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] C101.22 : Type {8,16}_80 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^8, S * R * S^-3 * R * S^4, S * R * S^-1 * R^4 * S^2 * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] C101.23 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1, S^16 ] C101.24 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^2 * S^-2 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 ] C101.25 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 ] C101.26 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^16 ] C101.27 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-2 * S^-2 ] C101.28 : Type {8,16}_80 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S^-3 * R^4 * S^-5, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] C101.29 : Type {8,56}_70 Order 560 mV = 14 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1, R^-1 * S^5 * R * S^-2 * R^-1 * S * R^-1 * S^-6 ] C101.30 : Type {8,56}_140 Order 560 mV = 14 mF = 2 Defining relations for automorphism group: [ (R * S)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-3)^2, S * R^2 * S^-2 * R^2 * S^2 * R^-1 * S * R^-1, S^6 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2 ] C101.31 : Type {12,12}_10 Order 600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, R^12, S^-2 * R^5 * S^-1 * R * S^-3, S * R * S^-1 * R^4 * S^3 * R^-1 * S, R * S^-3 * R^3 * S^-2 * R * S^-1 * R ] C101.32 : Type {12,12}_50 Order 600 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R^12, R^-1 * S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] C101.33 : Type {16,48}_30 Order 480 mV = 12 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-3, S^-1 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2, R^-1 * S^3 * R^-9 * S^3 ] C101.34 : Type {16,48}_60 Order 480 mV = 12 mF = 4 Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S * R^-3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^2, R * S^-3 * R^3 * S * R^-1 * S^-2 * R ] C101.35 : Type {20,20}_50 Order 500 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^2 ] C101.36 : Type {20,20}_50 Order 500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R^6 * S^-1 * R * S^-2 ] C101.37 : Type {20,20}_50 Order 500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R * S)^2, R * S^-1 * R^4 * S^-1 * R^2 * S^-1 ] C101.38 : Type {20,20}_10 Order 500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R * S^-1 * R^2 * S * R^-1 * S, R * S^-2 * R^3 * S^-3 * R, S^-2 * R^-1 * S * R^3 * S^2 * R^-2 * S^-1 ] C101.39 : Type {24,24}_40 Order 480 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^5 * S^-1 * R^2 * S ] C101.40 : Type {24,24}_40 Order 480 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R * S)^2, S^-1 * R^-1 * S * R^3 * S^-1 * R * S^-2, R^7 * S^-1 * R * S * R^-1 * S ] C101.41 : Type {24,24}_20 Order 480 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1, R^-1 * S^3 * R^-1 * S * R^-9 * S^7 * R^-1 * S ] C101.42 : Type {24,24}_20 Order 480 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] C101.43 : Type {44,44}_10 Order 440 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R * S^-1 * R^2 * S * R^-1 * S, R^2 * S^-13 * R^3 * S^-5 * R^11 * S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-1 * R ] C101.44 : Type {84,84}_10 Order 420 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ (R * S)^2, S * R^4 * S^3, S * R^-1 * S * R^2 * S^-1 * R * S, S^-1 * R^15 * S^-1 * R * S^-3 * R^3 * S^-1 * R^9 * S^-1 * R^2 * S^-1 * R * S^-1 * R^2 ] Genus 102 C102.1 : Type {5,10}_202 Order 1010 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, (R*S)^2, (R*S^-3*R)^2, (R*S^-2*R*S^-1)^2, S^-4*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-1 ] C102.2 : Type {5,10}_202 Order 1010 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, (R*S)^2, (R*S^-3*R)^2, (R*S^-2*R*S^-1)^2, S^-1*R^-1*S^2*R*S^-1*R^-2*S^-2*R*S^-4 ] Genus 103 C103.1 : Type {4,16}_272 Order 1088 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C103.2 : Type {4,16}_272 Order 1088 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^-1*S*R*S^-1*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C103.3 : Type {4,28}_238 Order 952 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S*R^-1*S^-6 ] C103.4 : Type {16,16}_34 Order 544 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S*R^-2*S, R^16 ] C103.5 : Type {16,16}_34 Order 544 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^-2*R*S, S*R^6*S*R^-2*S^2, R^16 ] C103.6 : Type {16,16}_34 Order 544 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S*R^6*S^2*R^-2*S, R^-16 ] C103.7 : Type {16,16}_34 Order 544 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^2*R^-1*S, R^16 ] C103.8 : Type {16,16}_68 Order 544 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, R*S^-2*R^4*S*R^-1*S^-3 ] C103.9 : Type {16,16}_68 Order 544 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C103.10 : Type {28,28}_34 Order 476 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^6*S^-2*R*S^-1*R*S^-1 ] Genus 104 C104.1 : Type {6,6}_206 Order 1236 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1 ] Genus 105 C105.1 : Type {3,12}_104 Order 2496 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S ] C105.2 : Type {4,8}_52 Order 1664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S^-2*R^-1*S*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 ] C105.3 : Type {4,8}_104 Order 1664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1 ] C105.4 : Type {4,8}_104 Order 1664 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-1 ] C105.5 : Type {4,8}_104 Order 1664 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-1 ] C105.6 : Type {4,12}_78 Order 1248 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S ] C105.7 : Type {4,12}_156 Order 1248 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1 ] C105.8 : Type {4,20}_260 Order 1040 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^2, S^20 ] C105.9 : Type {4,36}_234 Order 936 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S*R*S^-6*R^-1*S^2*R^2*S*R^-1*S^-6*R*S^2 ] C105.10 : Type {6,6}_104 Order 1248 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-2*S^-1*R*S ] C105.11 : Type {8,8}_52 Order 832 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R^2*S^-2*R*S^-1 ] C105.12 : Type {8,8}_104 Order 832 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S ] C105.13 : Type {8,8}_104 Order 832 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1 ] C105.14 : Type {8,8}_104 Order 832 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2 ] C105.15 : Type {8,8}_104 Order 832 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R ] C105.16 : Type {8,24}_78 Order 624 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R^2*S^-2*R*S^3 ] C105.17 : Type {8,24}_156 Order 624 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S ] C105.18 : Type {12,12}_52 Order 624 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R*S^-1*R^2*S^-2*R*S^-1, R^12 ] C105.19 : Type {12,12}_52 Order 624 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, R^-1*S*R^6*S^-3*R*S*R^-1 ] C105.20 : Type {12,12}_52 Order 624 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, R^12, R*S^-1*R^5*S^-2*R*S^-1*R, S^-1*R*S^-2*R^3*S^-5 ] C105.21 : Type {12,12}_52 Order 624 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, S^-1*R^-1*S*R*S^-2*R^2*S^2*R^-1*S*R^-1*S^-1 ] C105.22 : Type {12,12}_52 Order 624 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S^-2*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R^2*S*R^-1 ] C105.23 : Type {16,32}_32 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^-4*R^3*S*R^-1*S^-3 ] C105.24 : Type {16,32}_32 Order 512 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-2*R^3*S^5, R^16 ] C105.25 : Type {16,32}_32 Order 512 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-2*S^2, R^2*S^-1*R^10*S^-3 ] C105.26 : Type {20,20}_26 Order 520 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^-2*S^2*R^-1*S*R^-7*S*R^-1*S*R^-2*S*R^-1 ] C105.27 : Type {30,30}_4 Order 480 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-2*S, R^-3*S*R^-11*S^3*R^-9*S*R^-1*S ] C105.28 : Type {36,36}_26 Order 468 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S^3*R^3*S^-1*R*S^2, R*S^-1*R*S^-1*R^13*S^-1 ] C105.29 : Type {36,36}_26 Order 468 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R*S^-3*R^7*S^-1*R*S^-1*R*S^-2*R ] C105.30 : Type {56,56}_4 Order 448 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R^-4*S^9*R^-2*S*R^-8*S*R^-3 ] C105.31 : Type {56,56}_4 Order 448 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^3*S^-40*R^12*S^-1 ] Genus 106 C106.1 : Type {6,18}_126 Order 756 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, R*S^-4*R^2*S^-3*R*S^-1 ] C106.2 : Type {6,18}_126 Order 756 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2 ] C106.3 : Type {6,18}_126 Order 756 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^18 ] C106.4 : Type {6,18}_126 Order 756 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^18 ] C106.5 : Type {6,18}_126 Order 756 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R^2*S^-1*R^3*S^-1*R*S*R^-1*S^-1*R*S^2 ] C106.6 : Type {6,18}_126 Order 756 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-2*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R*S^2 ] C106.7 : Type {6,48}_112 Order 672 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^7*R^-2*S*R^2*S*R^-2*S^7 ] C106.8 : Type {6,48}_112 Order 672 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^2*S^-1*R^2*S^-1*R*S^-1*R^3*S^-1*R^2*S^2, S*R*S^-1*R^-1*S^6*R^-2*S*R^-2*S^7 ] C106.9 : Type {6,108}_108 Order 648 mV = 36 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^18*R*S^-1*R*S^5*R^-1*S^-1*R*S^11 ] C106.10 : Type {18,36}_28 Order 504 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R^-1*S*R^2*S^-2*R*S, R^2*S^-1*R^2*S^-1*R^8*S^-1*R^2*S^-1 ] C106.11 : Type {18,36}_28 Order 504 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, R^-18 ] C106.12 : Type {33,66}_14 Order 462 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, S*R^-1*S^2*R^-1*S*R^-2*S^2*R^-3*S^3*R^-10*S^4*R^-1*S*R^-1 ] Genus 107 C107.1 : Type {4,8}_424 Order 1696 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1 ] C107.2 : Type {4,8}_424 Order 1696 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1 ] C107.3 : Type {4,12}_318 Order 1272 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R ] C107.4 : Type {8,8}_106 Order 848 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-2*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1 ] C107.5 : Type {8,8}_212 Order 848 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-2*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1 ] C107.6 : Type {12,12}_106 Order 636 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-1*S*R^-1*S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1*S*R^-1*S ] Genus 108 [None] Genus 109 C109.1 : Type {3,8}_36 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S*R^-1*S^3*R^-1*S^-4*R^-1*S^2*R^-1*S^4*R*S^-3*R^-1*S ] C109.2 : Type {3,18}_36 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R^-1*S^4*R^2*S^-2*R*S^-5, S^18, S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-3*R*S^2*R^-1*S^-2*R*S ] C109.3 : Type {4,6}_36 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, R^-1*S^-3*R^-2*S^-3*R^-2*S^-3*R^2*S^3*R^2*S^3*R^2*S^3*R^-1 ] C109.4 : Type {4,8}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^2*R^-1*S*R^-1*S*R^2*S^-2*R*S*R^-1*S ] C109.5 : Type {4,16}_16 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^16 ] C109.6 : Type {4,16}_16 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1, S^-1*R^-1*S*R*S^-2*R*S^-1*R^2*S*R^-1*S^-4 ] C109.7 : Type {6,6}_12 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R*S^-3*R^-1*S*R^-2*S*R^-2*S^3*R*S^-2*R ] C109.8 : Type {8,8}_12 Order 864 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, R^-1*S^-4*R^-2*S^-1*R*S^3 ] C109.9 : Type {9,18}_36 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R*S^-2*R*S^-1*R^-2*S^-2*R*S^-3 ] C109.10 : Type {16,16}_12 Order 576 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, R^2*S^-1*R^4*S*R^-1*S^-1*R*S^-1 ] C109.11 : Type {16,16}_12 Order 576 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^2*S^-1*R*S^-1*R^5*S^-2*R*S^-2*R ] C109.12 : Type {16,16}_24 Order 576 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, R^2*S^-1*R^4*S*R^-1*S^-1*R*S^-1 ] C109.13 : Type {16,64}_64 Order 512 mV = 16 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^-8*R^-3*S^2*R^-1*S^-6 ] C109.14 : Type {27,54}_18 Order 486 mV = 9 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S^2*R^-2, R^-7*S^2*R^-1*S*R^-2*S^2*R^-9*S^3 ] Genus 110 C110.1 : Type {6,6}_218 Order 1308 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, R^-1*S^3*R^-1*S*R^-1*S^2*R^-1*S^2*R^2*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^3*R^-1*S ] Genus 111 C111.1 : Type {4,48}_240 Order 960 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^48 ] C111.2 : Type {4,48}_240 Order 960 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^-10*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-8 ] C111.3 : Type {4,92}_230 Order 920 mV = 23 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^23*R^2*S*R^-1*S^-2*R*S^20 ] C111.4 : Type {8,32}_160 Order 640 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C111.5 : Type {8,32}_160 Order 640 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C111.6 : Type {12,20}_30 Order 600 mV = 5 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, R^-1*S*R*S^-2*R^3*S*R^-1*S^-6 ] C111.7 : Type {48,48}_10 Order 480 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^-1*R*S^-17*R*S^-9*R^9*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1 ] C111.8 : Type {48,48}_20 Order 480 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S*R^-2*S*R^-1*S*R^-9*S^9 ] C111.9 : Type {92,92}_10 Order 460 mV = 23 mF = 23 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^-1*R*S^-15*R^3*S^-5*R^11*S^-1*R*S^-1*R^3*S^-1*R*S^-1*R ] Genus 112 C112.1 : Type {3,12}_222 Order 2664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-3*R*S^-1 ] C112.2 : Type {6,6}_222 Order 1332 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R^2*S^2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R*S^-1 ] C112.3 : Type {6,6}_222 Order 1332 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1 ] C112.4 : Type {6,12}_148 Order 888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^2*R^-1*S^2*R*S^-2*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S ] C112.5 : Type {6,12}_148 Order 888 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R*S^2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R^2*S^-1 ] C112.6 : Type {9,18}_74 Order 666 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S*R^-1*S*R^4*S^-1*R*S*R^-2 ] C112.7 : Type {9,18}_74 Order 666 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, R^-1*S*R^-1*S*R^3*S^-2*R*S^2 ] C112.8 : Type {9,18}_74 Order 666 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^3*R^3*S^-1*R*S^2 ] C112.9 : Type {9,18}_74 Order 666 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-2*R*S^-2*R^-1*S^2*R*S^-1*R^-2*S^3*R^-1*S*R^-1*S^-2*R*S^-1 ] C112.10 : Type {18,30}_90 Order 540 mV = 5 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^2*R*S^-3*R^2*S^-3*R*S^2 ] Genus 113 C113.1 : Type {3,12}_14 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, S*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^2, (S^-1*R*S^-1)^7 ] C113.2 : Type {4,18}_36 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, (R*S^-5)^2, S^18 ] C113.3 : Type {4,32}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-1, R*S^-3*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^-1*R*S^-1 ] C113.4 : Type {6,6}_28 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R*S^-1*R*S^-3*R^-1*S*R*S^-1*R^2*S*R^-1*S^3*R*S^-2 ] C113.5 : Type {6,6}_56 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S ] C113.6 : Type {6,6}_56 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^2*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-2*S^-1*R*S^2 ] C113.7 : Type {6,6}_56 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-1*S*R^-1*S^2 ] C113.8 : Type {6,6}_56 Order 1344 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S ] C113.9 : Type {6,15}_140 Order 840 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^-1*S*R*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R ] C113.10 : Type {6,24}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, R*S^-4*R^2*S^-1*R*S^3 ] C113.11 : Type {6,24}_8 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S^3*R^-2*S*R^-1*S^-1*R^2*S ] C113.12 : Type {6,51}_238 Order 714 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-2*S*R^2*S^-1*R^-2*S*R^-2*S*R^-1*S, S^-7*R^-1*S*R*S^-1*R^-1*S*R^-2*S^6*R^-1*S^-1 ] C113.13 : Type {7,14}_28 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^4*R^3*S^-1*R^2*S*R^-1 ] C113.14 : Type {8,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^12 ] C113.15 : Type {8,12}_12 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, R^-2*S^2*R^3*S^-1*R*S^3 ] C113.16 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S*R*S^-2*R*S^-1*R^2*S^2*R^-1*S^-1*R*S ] C113.17 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-2)^4 ] C113.18 : Type {8,12}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S ] C113.19 : Type {8,12}_24 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S ] C113.20 : Type {8,12}_24 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1 ] C113.21 : Type {12,12}_28 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, R^12, R^2*S^-1*R^4*S^-1*R^2*S^-2, R^3*S^-1*R^3*S^-5 ] C113.22 : Type {12,12}_28 Order 672 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R^2*S^-3*R*S^-2*R^-2*S^-1*R*S^3*R^-1*S*R^-1*S ] C113.23 : Type {12,12}_56 Order 672 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R)^2, R^12, S^-1*R^6*S^-5, S^-1*R*S^-2*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2 ] C113.24 : Type {14,35}_20 Order 560 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-5*S^-1*R*S^3 ] C113.25 : Type {18,18}_8 Order 576 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, R^-18 ] C113.26 : Type {32,32}_16 Order 512 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, R*S^-1*R^-1*S*R^4*S*R^-2*S^5 ] C113.27 : Type {36,36}_14 Order 504 mV = 12 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-1*S*R^-1, R*S^-2*R*S^-2*R*S^-3*R^2*S^-3*R^12*S^-2*R*S^-1*R*S^-1*R*S^-2 ] Genus 114 C114.1 : Type {8,8}_226 Order 904 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S^2*R*S^-1*R^-2*S^4*R*S^-2 ] Genus 115 C115.1 : Type {3,12}_456 Order 2736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1 ] C115.2 : Type {6,9}_342 Order 1026 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^2*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-2*R^-1*S*R^2 ] C115.3 : Type {6,9}_342 Order 1026 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-2*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-2*R^-1*S*R*S^-1 ] C115.4 : Type {6,9}_342 Order 1026 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-1*S*R*S^-1*R^-1*S*R ] C115.5 : Type {6,12}_152 Order 912 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S^-1*R^-1*S*R^2*S^-2*R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^3*R*S^-1 ] C115.6 : Type {6,21}_266 Order 798 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R*S^2 ] C115.7 : Type {6,117}_234 Order 702 mV = 39 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-20*R*S*R^-1*S^-1*R*S^5*R^-1*S^-12 ] C115.8 : Type {15,30}_38 Order 570 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, R*S^-3*R*S^-1*R^-2*S^3*R^-1*S*R^-1*S^-2 ] Genus 116 [None] Genus 117 C117.1 : Type {4,8}_116 Order 1856 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R*S^-1 ] C117.2 : Type {4,8}_232 Order 1856 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-2*R^2*S^-2*R^2*S^2*R*S^-1 ] C117.3 : Type {4,12}_348 Order 1392 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^2*R^-2*S^-2*R*S^-1 ] C117.4 : Type {4,20}_290 Order 1160 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-2*S*R^-1*S^-1*R*S^2*R^-1*S^-3 ] C117.5 : Type {8,8}_116 Order 928 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^2*S^-2*R*S^-1*R^-1*S*R*S^-1 ] C117.6 : Type {8,8}_116 Order 928 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^2*R^-2*S^-1*R*S^2*R*S^-1 ] C117.7 : Type {12,12}_58 Order 696 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R^-1*S*R^2*S^-1*R*S^-2*R^2*S^2*R^-1*S*R^-1*S*R^-1*S ] C117.8 : Type {20,20}_58 Order 580 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-2 ] Genus 118 C118.1 : Type {3,12}_78 Order 2808 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (S^2*R^-1*S^2)^3, S*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^2 ] C118.2 : Type {3,18}_78 Order 2106 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (S^2*R^-1*S^2)^3, S*R^-1*S^3*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C118.3 : Type {3,24}_156 Order 1872 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-2*R^-1*S^4*R^2*S^-2*R*S^5, (R*S^-5*R*S^-2)^2, S*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C118.4 : Type {4,12}_78 Order 1404 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, R*S^-1*R*S^2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C118.5 : Type {4,56}_56 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^14*R^2*S^2*R^-1*S^-4*R*S^8 ] C118.6 : Type {6,6}_78 Order 1404 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S^-3*R^-1*S*R^-2*S^-1*R*S^-1*R*S^2 ] C118.7 : Type {6,6}_78 Order 1404 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^-1 ] C118.8 : Type {6,6}_78 Order 1404 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1 ] C118.9 : Type {6,12}_156 Order 936 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R ] C118.10 : Type {6,12}_156 Order 936 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S^2 ] C118.11 : Type {6,12}_156 Order 936 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^12, S^-1*R^-1*S*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1 ] C118.12 : Type {6,12}_156 Order 936 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^2*S*R^-1*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S^-1*R^2*S^2 ] C118.13 : Type {6,30}_130 Order 780 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1 ] C118.14 : Type {6,30}_130 Order 780 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-4*R^-1*S*R^3*S^-1*R*S*R^-1*S^-1*R*S^2 ] C118.15 : Type {8,20}_40 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S^-1*R*S^-1, S^-2*R^-1*S*R*S^-1*R^-3*S*R^-1*S^-5 ] C118.16 : Type {9,18}_78 Order 702 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-1*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C118.17 : Type {9,36}_18 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S^-1*R*S^-1*R*S^-1*R^-2*S^-5*R ] C118.18 : Type {12,18}_36 Order 648 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-1*S*R*S^-1*R^2*S^-4, R^12 ] C118.19 : Type {12,24}_104 Order 624 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S^-3*R^4*S*R^-2*S^-2, S^-1*R^-1*S^2*R*S^-1*R*S^-2*R*S^-2 ] C118.20 : Type {12,24}_104 Order 624 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R*S^-1*R^3*S*R^-1*S^-1*R*S^2 ] C118.21 : Type {21,42}_26 Order 546 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R*S^-1*R*S^2*R^-1*S^2, R^-3*S*R^-2*S*R^-10*S*R^-2*S ] C118.22 : Type {56,56}_6 Order 504 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^5*S^3*R^-1, R^-7*S*R^-1*S^3*R^-1*S*R^-8*S*R^-2*S*R^-2 ] Genus 119 C119.1 : Type {63,63}_4 Order 504 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^42*R^-1*S*R^-12*S^5 ] Genus 120 [None] Genus 121 C121.1 : Type {4,6}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, R*S^-3*R*S^-1*R*S^-1*R^2*S*R^-1*S^3*R^2*S^-1 ] C121.2 : Type {4,12}_20 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^12, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1 ] C121.3 : Type {4,16}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-2*R^-1*S*R*S^-2*R^2*S*R^-1*S^-3 ] C121.4 : Type {4,16}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-2*R^2*S*R^-1*S^2 ] C121.5 : Type {4,16}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^3 ] C121.6 : Type {4,16}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (S^-1*R)^5, R^-1*S^2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-3 ] C121.7 : Type {4,16}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S, (R*S^-3*R*S^-1*R*S^-1)^2 ] C121.8 : Type {4,16}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^2*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-2*R*S ] C121.9 : Type {4,16}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C121.10 : Type {4,16}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1 ] C121.11 : Type {4,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S ] C121.12 : Type {4,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, (R*S^-2)^4, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2 ] C121.13 : Type {4,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C121.14 : Type {4,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, (R*S^-2)^4, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^2 ] C121.15 : Type {4,28}_140 Order 1120 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^28 ] C121.16 : Type {4,52}_260 Order 1040 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^52 ] C121.17 : Type {4,100}_50 Order 1000 mV = 25 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^25*R^2*S*R^-1*S^-2*R*S^22 ] C121.18 : Type {6,6}_8 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-2*R ] C121.19 : Type {6,8}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, (R*S^-1)^6 ] C121.20 : Type {6,18}_18 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-2*R^3*S^2*R^-1, S^-1*R^-2*S*R*S^-1*R^2*S*R^-1*S^-3 ] C121.21 : Type {6,18}_72 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S*R^-2*S*R*S^-1*R^-2*S^-1*R*S^2*R^-2 ] C121.22 : Type {12,12}_60 Order 720 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-2*R, S^12 ] C121.23 : Type {12,12}_60 Order 720 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^12 ] C121.24 : Type {12,60}_10 Order 600 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-2*R, S^3*R*S^-2*R^2*S^-1*R*S^4 ] C121.25 : Type {16,16}_20 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2, R^16 ] C121.26 : Type {16,16}_20 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2 ] C121.27 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, R^2*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2 ] C121.28 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^2*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2 ] C121.29 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^-2*R^-8*S^-6 ] C121.30 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R^-2*S*R^3*S*R^-1*S^2*R^-1*S, R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R*S^3 ] C121.31 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^-2*R^2*S^-1 ] C121.32 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C121.33 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1 ] C121.34 : Type {16,16}_40 Order 640 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^16 ] C121.35 : Type {28,28}_20 Order 560 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R^6*S^-2*R*S^-3*R*S^-1*R^3 ] C121.36 : Type {52,52}_10 Order 520 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-22*S*R^-1*S*R^-1*S*R^-1*S*R^-2*S*R^-1*S*R^-9*S*R^-1*S^3*R^-1*S^2*R^-1 ] C121.37 : Type {100,100}_10 Order 500 mV = 25 mF = 25 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R*S^-19*R*S^-1*R^2*S^-1*R*S^-3*R^11*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1 ] Genus 122 C122.1 : Type {3,8}_12 Order 5808 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, (R*S^-2)^6, S*R^-1*S*R^-1*S^3*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^2, S*R^-1*S^2*R^-1*S^3*R^-1*S^-4*R*S^-2*R*S^4*R^-1*S^3*R*S^-2*R*S^3 ] C122.2 : Type {4,8}_8 Order 1936 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, R^-1*S*R^-1*S*R^-1*S^-4*R^2*S*R^-1*S^4*R^2*S, R*S^-1*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^4*R^2*S^-3 ] C122.3 : Type {5,10}_22 Order 1210 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-2*R^-2*S^-5*R^-2*S^-1*R*S*R^-1*S^-1*R ] C122.4 : Type {5,10}_22 Order 1210 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S^2*R^-1*S^-1 ] C122.5 : Type {5,10}_242 Order 1210 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-5*R^-1*S*R^-1*S^-2*R*S^-4 ] C122.6 : Type {5,10}_242 Order 1210 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^-3 ] C122.7 : Type {8,8}_22 Order 968 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^-3*S*R^4*S*R^-3*S^-2 ] C122.8 : Type {10,30}_66 Order 660 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R^2*S^-1*R^3*S^-2*R*S^-1, (R*S^-3*R)^2 ] C122.9 : Type {10,30}_66 Order 660 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, S^3*R^3*S^-1*R*S^2 ] C122.10 : Type {10,30}_66 Order 660 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2 ] C122.11 : Type {10,30}_66 Order 660 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^3*R^4*S*R^-1*S^-1*R*S ] C122.12 : Type {25,50}_22 Order 550 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, R^-2*S*R^3*S^-1*R*S^2, R^-1*S^7*R^-1*S*R^-1*S*R^-10*S*R^-2 ] C122.13 : Type {25,50}_22 Order 550 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-1*S*R^2*S^-2*R*S, R^-1*S^5*R^-1*S^7*R^-11 ] Genus 123 C123.1 : Type {3,12}_488 Order 2928 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^3*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S ] C123.2 : Type {4,8}_488 Order 1952 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S ] C123.3 : Type {4,8}_488 Order 1952 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S ] C123.4 : Type {4,12}_366 Order 1464 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1 ] C123.5 : Type {8,8}_122 Order 976 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R ] C123.6 : Type {8,8}_244 Order 976 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R ] C123.7 : Type {12,12}_122 Order 732 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, S^2*R^6*S^-3*R*S^2 ] C123.8 : Type {12,12}_122 Order 732 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-2*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-2*R^-1*S*R^2*S^-1 ] Genus 124 C124.1 : Type {6,126}_126 Order 756 mV = 42 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^21*R^2*S*R^-2*S^20 ] C124.2 : Type {10,10}_82 Order 820 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-1*R^3)^2, (R*S^-3*R)^2, (R*S^-2*R*S^-1)^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1 ] C124.3 : Type {10,10}_82 Order 820 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^10, S*R*S^-1*R^5*S^3*R^-1*S*R^-1 ] C124.4 : Type {12,27}_54 Order 648 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^12, R*S^-4*R^-5*S*R^-1*S^-4*R ] C124.5 : Type {30,90}_18 Order 540 mV = 30 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S^4, S^2*R^-7*S*R^-1*S^2*R^-1*S^2*R^-12*S*R^-1 ] Genus 125 C125.1 : Type {6,6}_124 Order 1488 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-1*R*S^2*R^-1*S ] C125.2 : Type {6,15}_310 Order 930 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-3*S*R^-2*S*R^-2*S^-2 ] C125.3 : Type {12,12}_62 Order 744 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R*S^-1*R*S^-2*R*S^-2*R^-2*S^3*R^-1*S*R^-1*S^-1*R*S ] Genus 126 C126.1 : Type {8,8}_10 Order 1000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, R*S^-4*R^-1*S*R^-1*S^-2, R*S^-1*R^4*S*R^-2*S^-1 ] C126.2 : Type {24,24}_10 Order 600 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^-2*R*S, R^8*S^-1*R*S^-2 ] C126.3 : Type {24,24}_10 Order 600 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, R*S^-1*R^5*S^-1*R*S^-1*R^2 ] Genus 127 C127.1 : Type {3,12}_168 Order 3024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-1 ] C127.2 : Type {3,24}_42 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R^-1*S^4*R^2*S^-2*R*S^-5, S^-1*R^-1*S^2*R*S^-2*R^-1*S^3*R^2*S^-4*R*S^2*R^-1*S^-2 ] C127.3 : Type {4,32}_32 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^32 ] C127.4 : Type {4,32}_32 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^3*R*S^-5*R^-1*S^5*R^-1*S^-1*R*S^2 ] C127.5 : Type {6,6}_14 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S*R^-1*S)^3, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S*R^-1*S^-1, R^2*S^-1*R*S^-3*R^2*S^3*R^2*S^2 ] C127.6 : Type {6,6}_18 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R*S^-1*R*S^3*R*S^-1, S*R^2*S^-3*R^3*S^3*R^-1, S*R^-2*S*R^-1*S^-3*R^2*S*R^-2*S*R^-2 ] C127.7 : Type {6,9}_42 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S*R^-1*S^-2*R^2*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C127.8 : Type {6,9}_42 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, S*R*S^-2*R*S^3, S^-1*R^-3*S*R^-1*S*R^2*S^-1*R^-2*S*R^3*S*R^-2*S*R^-2*S^-2*R^-1*S*R^2 ] C127.9 : Type {6,9}_126 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S*R^-2*S*R^-2*S*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-2*R^-1*S*R*S^-1 ] C127.10 : Type {6,9}_126 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-2*R^-1*S*R^2 ] C127.11 : Type {6,12}_42 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S*R*S^-2*R*S^-1*R*S^-2*R*S^2 ] C127.12 : Type {6,12}_42 Order 1008 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^12, S^2*R*S^-1*R^-1*S^3*R^-1*S^4*R^-1*S^2, S^2*R*S^-3*R^-1*S*R^2*S^-2*R*S^-2*R*S^2 ] C127.13 : Type {6,12}_168 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S*R*S^-1*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S^-1*R*S ] C127.14 : Type {6,21}_6 Order 882 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R^-2*S)^3, S*R*S^-3*R^2*S*R^-1*S^3, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S ] C127.15 : Type {6,21}_42 Order 882 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^-21 ] C127.16 : Type {6,57}_266 Order 798 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-10*R^2*S^-1*R^2*S^-6*R*S*R^-1*S^-1 ] C127.17 : Type {8,12}_8 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, (R*S^-1*R)^4, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, (R*S^-1)^6 ] C127.18 : Type {8,12}_24 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S^-1*R*S^-1, S^12 ] C127.19 : Type {8,12}_24 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R^-2*S*R*S^-1*R^-2*S^-1*R^3*S, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1 ] C127.20 : Type {8,40}_30 Order 720 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S*R*S^-3*R^3*S^6 ] C127.21 : Type {12,24}_56 Order 672 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S^-1*R*S^-1*R^4*S^-2*R*S^-2 ] C127.22 : Type {12,24}_56 Order 672 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-1*R*S^-2*R, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R^4*S^-1*R^2*S^-1*R ] C127.23 : Type {12,24}_56 Order 672 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^-2*R^2*S^-1*R^2*S^-5 ] C127.24 : Type {12,24}_56 Order 672 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^-1*R^-1*S*R*S^-1*R^3*S^4*R^-1*S^-1 ] C127.25 : Type {12,36}_18 Order 648 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, (R*S^-1*R^4)^2, R*S^-2*R^4*S^-4*R ] C127.26 : Type {15,30}_42 Order 630 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S ] C127.27 : Type {32,32}_6 Order 576 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^5*S^3*R^-1, S^-1*R^8*S^-1*R^5*S^-1*R^9*S^-1*R^3*S^-2*R ] C127.28 : Type {32,32}_12 Order 576 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^2*S^-1*R*S^-1*R^5*S^-1*R^2*S^-1*R^2 ] C127.29 : Type {39,78}_14 Order 546 mV = 13 mF = 13 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S^2*R^-1*S, S^16*R^-3*S*R^-10*S^2*R^-3*S^3*R^-1 ] Genus 128 C128.1 : Type {6,6}_254 Order 1524 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^3*R^-1*S ] Genus 129 C129.1 : Type {3,7}_32 Order 10752 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^7, (R*S)^2, S*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^-3*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2, S*R*S^-2*R^-1*S^2*R*S^-2*R*S^-3*R*S^-2*R^-1*S*R^-1*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^2 ] C129.2 : Type {3,8}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S^2*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S, S^-3*R^-1*S*R^-1*S^-4*R*S^-2*R^-1*S^2*R^-1*S^-2*R*S^3*R^-1*S^-2*R*S^-1 ] C129.3 : Type {3,12}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, S*R*S^-2*R*S^-4*R^-1*S^3*R^-1*S^3*R^-1*S, S^-1*R^-1*S^2*R*S^-3*R*S^-3*R^-1*S^4*R^-1*S^-4*R*S^-1 ] C129.4 : Type {3,12}_32 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (R*S^-4*R*S^-3)^2, S^-1*R^-1*S^3*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-3*R*S^2*R^-1*S^-2 ] C129.5 : Type {3,14}_16 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-6)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S, S^-2*R*S^-3*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-1 ] C129.6 : Type {4,6}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, (R*S^-1)^8, R*S^-2*R*S^-3*R*S^-1*R*S^3*R^-1*S^2*R*S^-1 ] C129.7 : Type {4,6}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R*S^-1, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1 ] C129.8 : Type {4,6}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^-1*S*R*S^-1*R*S^3*R^2*S^3*R ] C129.9 : Type {4,6}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (S*R^-1*S)^8 ] C129.10 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, R*S^-1*R*S^-2*R^-1*S*R^2*S^4*R*S^-2 ] C129.11 : Type {4,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^2*R*S^-1*R*S^-1*R^-2*S^-2*R*S*R^-1*S, (R*S^-1)^8, (R*S^-3)^4 ] C129.12 : Type {4,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2 ] C129.13 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^-3, (R*S^-5)^2, S^12 ] C129.14 : Type {4,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-3*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^-1, (R*S^-5)^2 ] C129.15 : Type {4,12}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-2*R, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2 ] C129.16 : Type {4,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-5)^2, S^12, S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S*R^-1*S ] C129.17 : Type {4,12}_48 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-5)^2, S^12, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-2*R*S*R^-1*S^-1 ] C129.18 : Type {5,6}_8 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, R*S^-1*R*S^-3*R^2*S^-1*R*S^3*R ] C129.19 : Type {5,6}_10 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^2*S*R^-1*S^3*R, S*R^-2*S^-3*R^2*S^-1*R*S^3*R^-1 ] C129.20 : Type {5,6}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^2*S*R^-1*S^3*R, R^-1*S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S^-2 ] C129.21 : Type {5,6}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, (S^-1*R)^5, S^-1*R^-2*S^-3*R^2*S*R^-1*S^3*R ] C129.22 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-1*R^-2*S*R^3*S*R^-2*S^-1, R*S^-3*R*S^-1*R*S^3*R*S^-1, S*R^-2*S*R*S^-1*R^2*S^3*R^-2*S ] C129.23 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R*S^-3*R^3*S*R^-2*S^-1 ] C129.24 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^3*R*S^-1, S^-1*R^-1*S*R^-1*S*R^-3*S^-1*R^2*S^-1*R*S^-1 ] C129.25 : Type {6,6}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^6, R*S^-2*R*S^-1*R^-2*S*R^-1*S^-1*R^2*S^-1*R, R*S^-2*R^-1*S*R^-2*S^3*R*S^-2*R ] C129.26 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-1*R^2*S^-1*R^2*S^-2*R*S^-2 ] C129.27 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^-1*S^-3*R^-3*S^-3*R^3*S^3*R^3*S^3*R^-2 ] C129.28 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S*R^-2*S^-3*R^2*S^-1*R*S*R^-2*S ] C129.29 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-2)^4, S*R^2*S^-1*R^-2*S*R^2*S^-1*R^2*S*R^-2*S ] C129.30 : Type {6,6}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, R^-1*S^2*R*S^-1*R^-2*S^-1*R*S*R^-2*S*R^-1, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R ] C129.31 : Type {6,7}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, S^-2*R^2*S^-1*R^2*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4 ] C129.32 : Type {6,7}_16 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, S^-2*R^2*S^-1*R^2*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R*S^-2*R^2*S*R^-1*S^2*R^-1*S ] C129.33 : Type {7,14}_8 Order 896 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^3*R^-3*S^-1*R*S^2*R^-1 ] C129.34 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R*S^-1*R^-1*S*R^3*S^-3*R*S^-1 ] C129.35 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S^2*R^-1*S*R^2*S^-2*R*S, R^-1*S^-4*R^4*S^4*R^-3 ] C129.36 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, R*S^-1*R^-1*S*R^3*S^-3*R*S^-1 ] C129.37 : Type {8,8}_8 Order 1024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^2*R^-1*S*R^2*S^-2*R*S ] C129.38 : Type {8,8}_8 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-2)^4, S^-1*R*S^-4*R^3*S*R^-1*S^4*R, S^2*R*S^-1*R*S^-1*R^2*S^-2*R*S*R^-1*S ] C129.39 : Type {8,8}_16 Order 1024 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, R*S^-4*R^2*S^4*R, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S^2 ] C129.40 : Type {12,12}_8 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, R^-1*S^2*R^4*S^-1*R^2*S^-2 ] C129.41 : Type {12,12}_8 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-2*R*S^-1*R, S*R*S^-1*R^4*S^4*R^-1 ] C129.42 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, S*R*S^-2*R^3*S^3*R^-2 ] C129.43 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, R^2*S^-2*R^3*S^-1*R*S^-3 ] C129.44 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, S^-1*R^6*S^-5, (R*S^-1*R)^4 ] C129.45 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S^-1*R*S^-2, R^12, S^-1*R^6*S^-5 ] C129.46 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^3*S^-1*R*S^2, R^12, S^-1*R^6*S^-5 ] C129.47 : Type {12,12}_8 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, S*R*S^-2*R^3*S^-2*R*S*R^-1 ] C129.48 : Type {12,12}_16 Order 768 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, S^-1*R^6*S^-5, S*R^-2*S*R^4*S*R^-2*S*R^-2 ] C129.49 : Type {35,70}_4 Order 560 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R^-4*S^16*R^-2*S*R^-8*S*R^-3 ] Genus 130 C130.1 : Type {3,12}_258 Order 3096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (S^2*R^-1*S^2)^3, S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-3*R*S^-1 ] C130.2 : Type {6,6}_258 Order 1548 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S*R*S^-1*R*S^-2*R*S^-3*R^-1*S*R^-1*S^-2*R*S^-2*R*S^-1*R*S ] C130.3 : Type {6,6}_258 Order 1548 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-2 ] C130.4 : Type {6,12}_172 Order 1032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S^-2*R*S^-1 ] C130.5 : Type {6,12}_172 Order 1032 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^2 ] C130.6 : Type {9,18}_86 Order 774 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^-2*R*S^-1*R*S*R^-1*S^-1 ] C130.7 : Type {12,54}_108 Order 648 mV = 9 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^9*R^2*S*R^-1*S^-5*R*S^3 ] Genus 131 C131.1 : Type {4,8}_520 Order 2080 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C131.2 : Type {4,8}_520 Order 2080 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^-1 ] C131.3 : Type {4,8}_520 Order 2080 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C131.4 : Type {4,8}_520 Order 2080 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^-1 ] C131.5 : Type {4,12}_390 Order 1560 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1 ] C131.6 : Type {4,12}_390 Order 1560 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1 ] C131.7 : Type {4,24}_312 Order 1248 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^24 ] C131.8 : Type {4,24}_312 Order 1248 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C131.9 : Type {4,44}_286 Order 1144 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^2*R*S^-5*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S*R^-1*S^-5*R*S^5 ] C131.10 : Type {4,56}_280 Order 1120 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^56 ] C131.11 : Type {4,56}_280 Order 1120 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^14*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-5*R*S^5 ] C131.12 : Type {4,108}_270 Order 1080 mV = 27 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^27*R^2*S*R^-1*S^-2*R*S^24 ] C131.13 : Type {6,33}_286 Order 858 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S^-5*R^2*S^-1*R^-3*S*R^-2*S^4 ] C131.14 : Type {8,8}_130 Order 1040 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R ] C131.15 : Type {8,8}_130 Order 1040 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-2*S^2*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1 ] C131.16 : Type {8,8}_260 Order 1040 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^2*R^-2*S^-1*R*S^2*R ] C131.17 : Type {8,8}_260 Order 1040 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^2*S^-2*R*S^-1*R*S^-1*R ] C131.18 : Type {8,16}_208 Order 832 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S^2*R^-1*S*R^-1*S ] C131.19 : Type {8,16}_208 Order 832 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S ] C131.20 : Type {8,20}_8 Order 800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-4*R^3*S^-2*R*S^-2, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3 ] C131.21 : Type {8,20}_40 Order 800 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^20 ] C131.22 : Type {8,20}_40 Order 800 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^20 ] C131.23 : Type {8,72}_90 Order 720 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^5*R*S^-2*R^-1*S^2*R^-2*S^9 ] C131.24 : Type {8,72}_180 Order 720 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^5*R*S^-2*R^-1*S^2*R^2*S^9 ] C131.25 : Type {12,12}_130 Order 780 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^6*S*R^-1*S^-2 ] C131.26 : Type {12,12}_130 Order 780 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S^-3*R ] C131.27 : Type {12,12}_130 Order 780 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^2*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C131.28 : Type {12,12}_130 Order 780 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R^2*S^-1 ] C131.29 : Type {20,60}_30 Order 600 mV = 15 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^-1*S^3*R^-1*S*R^-1*S*R^-7*S*R^-2*S ] C131.30 : Type {24,24}_26 Order 624 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S^3*R^3*S^-1*R*S^2, R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-10*S^3 ] C131.31 : Type {24,24}_26 Order 624 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^-1*S^2*R^-1*S^3*R^-1*S^2*R^-8*S^2*R^-1*S^3 ] C131.32 : Type {24,24}_26 Order 624 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, S^-2*R*S^-1*R*S^-2*R^10*S^-2*R*S^-1*R*S^-2 ] C131.33 : Type {24,24}_52 Order 624 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R^6*S*R^-2*S^2, R*S^-1*R^5*S^-1*R^2*S^-2 ] C131.34 : Type {24,24}_52 Order 624 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-1*R*S^-1*R^2*S^-2*R*S^-1*R ] C131.35 : Type {24,24}_52 Order 624 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-1*R*S^-1*R^2 ] C131.36 : Type {44,44}_26 Order 572 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R^-2*S*R^-1*S^3*R^-1*S*R^-6*S^2*R^-1*S*R^-2*S ] C131.37 : Type {56,56}_10 Order 560 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-26*S*R^-1*S*R^-1*S*R^-1*S*R^-2*S*R^-1*S*R^-8*S^2*R^-1*S^2*R^-2*S^2*R^-1 ] C131.38 : Type {56,56}_20 Order 560 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R*S^-3*R^2*S^-1*R*S^-1*R*S^-1*R^6*S^-2*R*S^-3*R*S^-1*R*S^-2 ] C131.39 : Type {108,108}_10 Order 540 mV = 27 mF = 27 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S*R^-1*S^23*R^-2*S^2*R^-2*S*R^-1*S*R^-1*S*R^-9*S*R^-1*S^3*R^-1*S^2*R^-1 ] Genus 132 C132.1 : Type {5,10}_262 Order 1310 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-1*R*S^-1*R^-2*S^2*R^2*S^5*R^-1*S ] C132.2 : Type {5,10}_262 Order 1310 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-1 ] Genus 133 C133.1 : Type {6,36}_36 Order 864 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^-1*S*R^-2*S*R^-3*S^-8 ] C133.2 : Type {6,36}_72 Order 864 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S ] C133.3 : Type {6,135}_270 Order 810 mV = 45 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-23*R^2*S^-1*R*S^4*R^-1*S^-17 ] C133.4 : Type {9,12}_36 Order 864 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^2*R*S^-2*R^-2*S^-1*R*S^-2*R*S ] C133.5 : Type {12,108}_54 Order 648 mV = 36 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^9*R^2*S^4*R^-1*S^-2*R*S^3 ] C133.6 : Type {70,70}_4 Order 560 mV = 10 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-1*S, R^-54*S^2*R^-12*S^2 ] Genus 134 C134.1 : Type {6,6}_266 Order 1596 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S^-2*R*S^-3*R^2*S*R^-1*S^3*R^-1*S ] C134.2 : Type {6,6}_266 Order 1596 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R, S^-2*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^3*R*S^-1*R ] C134.3 : Type {6,6}_266 Order 1596 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-3*R*S^-1 ] C134.4 : Type {6,6}_266 Order 1596 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R^2*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C134.5 : Type {6,24}_152 Order 912 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^-2 ] C134.6 : Type {6,24}_152 Order 912 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C134.7 : Type {6,60}_140 Order 840 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^10*R^2*S*R^-1*S^-3*R*S^6 ] C134.8 : Type {6,60}_140 Order 840 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^10*R^3*S^-1*R*S*R^-1*S^-1*R*S^7 ] C134.9 : Type {12,48}_112 Order 672 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^2*R*S^-2*R^2*S^-3*R*S ] C134.10 : Type {12,48}_112 Order 672 mV = 16 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^-1*R^-1*S*R*S^-1*R^3*S*R^-1*S^-4 ] C134.11 : Type {18,18}_38 Order 684 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^-2*S*R^4*S^-1*R*S^2*R^-1, (R^-4*S*R^-4)^2 ] C134.12 : Type {18,18}_38 Order 684 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^2*R^-1*S*R^2*S^-2*R*S, R^-1*S^6*R^-6*S*R^-2*S*R^-1 ] C134.13 : Type {18,18}_38 Order 684 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^6*S*R^-2*S^2, R^-2*S*R^-1*S*R^-1*S*R^-6*S*R^-1*S^2*R^-1 ] C134.14 : Type {18,18}_38 Order 684 mV = 3 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-2*R*S, S^5*R^-9*S*R^-3 ] C134.15 : Type {18,45}_70 Order 630 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^-2*S*R^-4*S*R^-1*S^-1*R*S^2 ] C134.16 : Type {42,42}_14 Order 588 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, R^-1*S*R^-13*S*R^-4*S^2*R^-1*S*R^-8*S*R^-1*S^2*R^-2*S*R^-1*S*R^-1 ] Genus 135 C135.1 : Type {3,12}_536 Order 3216 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] Genus 136 C136.1 : Type {3,36}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^-2, S^2*R*S^-10*R^-1*S^9*R^-1*S^-2*R*S ] C136.2 : Type {4,12}_10 Order 1620 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (S^-1*R)^5, S^12, R*S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^2, S^2*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1, R^-1*S^2*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S ] C136.3 : Type {4,24}_24 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-1)^6, S^2*R*S^-4*R^-1*S^4*R^-1*S^-1*R*S ] C136.4 : Type {6,8}_12 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R*S^-4*R^-2*S^-1*R^2*S^-1 ] C136.5 : Type {6,18}_6 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-3*S^-3*R*S^-1, S^-1*R^-1*S^2*R^-3*S^-1*R^2*S^-2 ] C136.6 : Type {6,18}_18 Order 972 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-2*R^-1*S^2*R*S^-2*R^-1*S^3*R^-1*S^-3 ] C136.7 : Type {6,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^2*R*S^-1*R*S^-1*R*S^-3*R*S ] C136.8 : Type {6,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-1*R^2*S^-1*R^-3*S^2*R^-1*S^-2 ] C136.9 : Type {6,18}_18 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^-3*S^-1*R^2*S^-2, (R*S^-1)^6, S^-2*R*S^-1*R*S^-1*R*S^2*R^-1*S^-2 ] C136.10 : Type {6,18}_18 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^2*R ] C136.11 : Type {13,26}_6 Order 702 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S*R^6*S^2*R^-1*S*R^-1, R^-13 ] C136.12 : Type {13,26}_6 Order 702 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^3*S^-1*R*S*R^-1, S*R*S^-3*R^2*S*R^-1*S^3, R^-13 ] C136.13 : Type {18,36}_36 Order 648 mV = 4 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-2*R^-1*S^4*R^-3*S^-6, (R^4*S^-2*R^3)^2 ] C136.14 : Type {18,36}_36 Order 648 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, R*S^-1*R^-8*S^-1*R*S^-2*R^2, S^-2*R^5*S^-1*R^3*S^-1*R^3*S^-2*R ] C136.15 : Type {24,24}_6 Order 648 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^5*S^-1*R^2*S^-2, S^-1*R^-1*S*R^4*S*R^-3*S^-1 ] Genus 137 C137.1 : Type {4,8}_68 Order 2176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R^2*S*R^-1*S^-1*R ] C137.2 : Type {4,8}_136 Order 2176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R^2*S*R^-1*S^2*R^-1 ] C137.3 : Type {4,8}_136 Order 2176 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1 ] C137.4 : Type {4,8}_136 Order 2176 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1 ] C137.5 : Type {4,12}_102 Order 1632 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S*R*S^-2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S^2 ] C137.6 : Type {4,12}_204 Order 1632 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1*S ] C137.7 : Type {4,20}_340 Order 1360 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R, S^20 ] C137.8 : Type {4,36}_306 Order 1224 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^-1*R^-1*S^6*R*S^-2*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-5 ] C137.9 : Type {8,8}_68 Order 1088 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-1*S^3*R^4*S^4*R^-1*S^2 ] C137.10 : Type {8,8}_68 Order 1088 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^2*S^-2*R^2*S^2*R^2*S ] C137.11 : Type {8,8}_136 Order 1088 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3 ] C137.12 : Type {8,8}_136 Order 1088 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, R^-2*S*R^-3*S^4*R*S^-1 ] C137.13 : Type {8,8}_136 Order 1088 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R ] C137.14 : Type {8,8}_136 Order 1088 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^2*R^-2*S^-1*R*S^2*R^2*S ] C137.15 : Type {8,8}_136 Order 1088 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^2*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2 ] C137.16 : Type {8,8}_136 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R ] C137.17 : Type {8,24}_102 Order 816 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2 ] C137.18 : Type {8,24}_102 Order 816 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-2*R^-2*S^-1*R^3*S^-1, S^-1*R^2*S^-1*R^3*S*R^-1*S^-3 ] C137.19 : Type {8,24}_102 Order 816 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-6*R^-4*S^-6, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-2*S^2*R^-1*S ] C137.20 : Type {8,24}_204 Order 816 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-6*R^-4*S^-6, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S ] C137.21 : Type {8,48}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R*S^-2*R^3*S*R^-1*S*R^-1*S^-1, R*S^-4*R^2*S^3*R^-1*S^-1, S^4*R*S^-1*R^-2*S^-5*R*S^2 ] C137.22 : Type {12,12}_68 Order 816 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, S^-1*R*S^-2*R^3*S*R^-2*S^-1*R ] C137.23 : Type {12,12}_68 Order 816 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-2*R^-1*S*R^2*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C137.24 : Type {12,16}_24 Order 768 mV = 2 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^2*R^2*S^-1*R*S^-2, R^12 ] C137.25 : Type {14,42}_12 Order 672 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, S*R*S^-1*R^4*S^3*R^-1*S, R^14 ] C137.26 : Type {16,80}_40 Order 640 mV = 20 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^10*R^2*S*R^-2*S^9 ] C137.27 : Type {20,20}_34 Order 680 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^2*R^-1*S*R*S^-1*R^-2*S^-2*R*S^-1*R^2*S*R^-1, R^-4*S^2*R^-8*S*R^-1*S^3*R^-1 ] C137.28 : Type {21,21}_4 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^2*R^-3, R^2*S^-2*R*S^-2*R*S^-2*R^8*S^-1*R*S^-1 ] C137.29 : Type {36,36}_34 Order 612 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S*R^-2*S^-1*R, S^-1*R*S^-1*R*S^-1*R*S^-2*R^4*S^-2*R*S^-2*R ] Genus 138 C138.1 : Type {8,8}_274 Order 1096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^-2*R*S^-4*R^4*S^-1*R*S*R^-1*S^-1 ] Genus 139 [None] Genus 140 C140.1 : Type {6,6}_278 Order 1668 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] Genus 141 C141.1 : Type {4,32}_160 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^32 ] C141.2 : Type {4,32}_160 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S^-5*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C141.3 : Type {4,60}_60 Order 1200 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^60 ] C141.4 : Type {4,116}_290 Order 1160 mV = 29 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^29*R^2*S*R^-1*S^-2*R*S^26 ] C141.5 : Type {8,12}_30 Order 960 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^5*R^2*S^2*R^-1*S*R^-1 ] C141.6 : Type {8,12}_60 Order 960 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, R*S^-1*R*S^-2*R^2*S^-5 ] C141.7 : Type {8,12}_60 Order 960 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R^-1*S*R^2*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C141.8 : Type {8,12}_120 Order 960 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R^2*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C141.9 : Type {8,40}_20 Order 800 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^10*R^-3*S^-7*R*S^3 ] C141.10 : Type {8,40}_20 Order 800 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^10*R^-3*S^-7*R*S^3 ] C141.11 : Type {8,96}_96 Order 768 mV = 24 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S^12*R^3*S^-2*R*S^10 ] C141.12 : Type {12,12}_70 Order 840 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^-2*R*S, R^12 ] C141.13 : Type {12,12}_70 Order 840 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, R^12, S^-2*R^5*S^-1*R*S^-1*R^2 ] C141.14 : Type {14,49}_98 Order 686 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^3*R^-3*S^-1*R*S^3 ] C141.15 : Type {14,49}_98 Order 686 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-4*R^-2*S^-2*R^2*S^-1 ] C141.16 : Type {14,49}_98 Order 686 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R*S^-3*R^-2*S^-4*R ] C141.17 : Type {24,24}_28 Order 672 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, R^-2*S*R^-2*S*R^-3*S*R^-6*S*R^-3*S^4 ] C141.18 : Type {24,24}_28 Order 672 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, R^7*S^-2*R*S^-2 ] C141.19 : Type {32,32}_20 Order 640 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1, S^3*R^-2*S*R^-1*S^3*R^-1*S^2*R^-10*S^9 ] C141.20 : Type {32,32}_20 Order 640 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2, S^-1*R*S^-1*R^6*S^-1*R*S^-2*R*S^-1*R ] C141.21 : Type {32,32}_40 Order 640 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^12*S^-4 ] C141.22 : Type {60,60}_10 Order 600 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^2*S^-1*R*S, S*R^-1*S^29*R^-2*S^2*R^-1*S^3*R^-1*S^2*R^-8*S*R^-1*S^3*R^-1*S^3*R^-1 ] C141.23 : Type {116,116}_10 Order 580 mV = 29 mF = 29 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S*R^-1*S^27*R^-2*S^2*R^-2*S*R^-1*S*R^-1*S*R^-8*S^2*R^-1*S^2*R^-2*S^2*R^-1 ] Genus 142 C142.1 : Type {6,144}_144 Order 864 mV = 48 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^24*R^2*S*R^-1*S^-5*R*S^18 ] C142.2 : Type {66,99}_18 Order 594 mV = 33 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S^3*R^3*S^-1*R*S^2, R^-3*S*R^-1*S^14*R^-12*S^2 ] Genus 143 C143.1 : Type {7,14}_142 Order 994 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-4*R^-2*S^-1*R*S^-1*R^2 ] C143.2 : Type {7,14}_142 Order 994 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, R^2*S^-2*R^-2*S^-1*R*S^-3 ] C143.3 : Type {7,14}_142 Order 994 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, R^2*S^-2*R^-2*S^-3*R*S^-1 ] Genus 144 C144.1 : Type {10,35}_154 Order 770 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^-2*R^-5*S^3*R^-1*S^-2 ] C144.2 : Type {10,35}_154 Order 770 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R^-1*S^3*R^-2*S*R^-1*S^-3 ] C144.3 : Type {30,30}_22 Order 660 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^-2*S*R^3*S^-1*R*S^2, R*S^-1*R^11*S^-1*R*S^-3*R^9*S^-1*R^2 ] C144.4 : Type {30,30}_22 Order 660 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^-1*R^5*S^-1*R^2*S^-1*R^2*S^-1*R*S^-1*R^8*S^-2*R^2*S^-1*R^2 ] Genus 145 C145.1 : Type {3,8}_12 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, (R*S^-2)^6, S*R*S^-2*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^2, S^-1*R*S^-3*R*S^-3*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^3*R^-1*S^3*R^-1*S^2*R^-1*S^-2 ] C145.2 : Type {3,10}_48 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, (R*S)^2, S^2*R*S^-4*R*S^-3*R*S^-2*R*S^3*R^-1*S^2 ] C145.3 : Type {4,6}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-2)^4, R^-1*S^-2*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S, R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1 ] C145.4 : Type {4,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S*R^-1*S^-3*R*S^-1*R^-1*S*R^-1*S^3*R^2*S, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1 ] C145.5 : Type {4,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S*R^-1*S^-3*R*S^-1*R^-1*S*R^-1*S^3*R^2*S, R*S^-2*R^-1*S*R^-2*S^-3*R^-1*S*R^-2*S^-1*R*S*R^-1*S^-1*R*S^3*R^2*S^-1 ] C145.6 : Type {4,7}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, (R*S)^2, (R*S^-1)^6, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, R*S^3*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2 ] C145.7 : Type {4,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, S*R^-2*S^-4*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2 ] C145.8 : Type {4,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (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^3*R*S^-1*R*S^-1*R^2*S*R^-1*S^4*R^-1 ] C145.9 : Type {4,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (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, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S ] C145.10 : Type {6,6}_12 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-2*S*R^3*S^3*R^-1*S, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-1*S*R^-1 ] C145.11 : Type {6,6}_12 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-2*S*R^3*S^3*R^-1*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C145.12 : Type {6,6}_24 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S*R^2*S^-1*R^-2*S*R^2*S^3*R*S^-2*R^-1 ] C145.13 : Type {6,6}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R^-1*S^2*R^-1*S^2*R^2*S*R^-1*S^-2*R*S^-1*R*S^2 ] C145.14 : Type {6,12}_12 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, R*S^-3*R^-3*S^-1*R^2*S^-2, S^12 ] C145.15 : Type {6,12}_12 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-3*R*S^4, (R*S^-1*R)^4, (R*S^-1*R*S^-2*R)^2, S^-1*R*S^-3*R^2*S^-3*R*S^-1 ] C145.16 : Type {6,12}_12 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^12, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1 ] C145.17 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-5)^2, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R*S^-1 ] C145.18 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R*S ] C145.19 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^12, R^-1*S^2*R*S^-1*R^-3*S^-1*R^2*S^-1*R*S ] C145.20 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, (R*S^-5)^2, S*R^2*S^-2*R^-2*S*R^-2*S^-1*R^2*S ] C145.21 : Type {6,12}_24 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^-1*S^2*R^-3*S^-1*R^2*S^-2, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R ] C145.22 : Type {6,30}_10 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-1*R^-2*S*R^3*S*R^-2*S^-1, S^-2*R^2*S^-1*R^2*S^2*R^-1*S^-1*R, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1 ] C145.23 : Type {6,30}_40 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S*R^2*S^-2*R^-2*S^-1*R^2*S*R^-2*S, S^-1*R^-1*S^4*R^2*S*R^-1*S^-4 ] C145.24 : Type {7,7}_6 Order 1344 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, (R*S)^2, (R*S^-1)^4, S*R*S^-2*R^3*S*R^-2*S^2 ] C145.25 : Type {7,7}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^7, (R*S)^2, (R^-2*S)^3, S^-1*R*S^-1*R*S^-2*R^-2*S^-1*R*S^-3*R*S^-1 ] C145.26 : Type {8,8}_8 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S, S*R^2*S^-3*R^2*S^3*R^-1*S*R^-1 ] C145.27 : Type {8,8}_8 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S, S*R^-1*S*R*S^-2*R^2*S^3*R^-1*S*R^-1 ] C145.28 : Type {8,8}_12 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^2*R^2*S^-4*R^-2*S^-2*R*S^4*R^-1 ] C145.29 : Type {8,8}_24 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, R*S^-3*R^3*S^-1*R*S*R^-1*S^-1 ] C145.30 : Type {8,8}_24 Order 1152 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S*R^-3*S*R^2*S^4*R^-1 ] C145.31 : Type {8,24}_12 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S^2*R*S^-4*R^-2*S^-2*R*S^4 ] C145.32 : Type {12,24}_8 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R*S^-1*R^2*S*R^-1*S^-2, R^2*S^-2*R^3*S^-1*R*S^-3 ] C145.33 : Type {12,24}_8 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-3*R^2)^2 ] C145.34 : Type {36,36}_18 Order 648 mV = 6 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S^2*R^-2, R^-2*S*R^-10*S*R^-1*S^2*R^-1*S*R^-2*S*R^-8*S^2*R^-1*S*R^-1*S ] Genus 146 C146.1 : Type {10,75}_150 Order 750 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R*S^-1*R^4*S^-1*R*S^-2, S^-6*R^2*S^-2*R^-2*S^-7 ] C146.2 : Type {10,75}_150 Order 750 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R*S^-1*R^4*S^-1*R*S^-2, S^3*R*S^-1*R^-1*S^3*R^-2*S^8 ] C146.3 : Type {14,14}_58 Order 812 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-3*S, R^-2*S*R^4*S*R^-1*S^-1*R*S, R^14 ] C146.4 : Type {14,14}_58 Order 812 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^-2*S^2*R^3*S*R^-1*S^-3, R^14, R*S^-1*R^6*S^-2*R^3*S^-1 ] C146.5 : Type {14,14}_58 Order 812 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S*R*S^-1*R^4*S^4*R^-1, R^14 ] Genus 147 C147.1 : Type {3,12}_584 Order 3504 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^2*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C147.2 : Type {4,8}_584 Order 2336 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^-1*R*S^-1 ] C147.3 : Type {4,8}_584 Order 2336 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^-1*R*S^-1 ] C147.4 : Type {4,12}_438 Order 1752 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R ] C147.5 : Type {8,8}_146 Order 1168 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^-1*R^3*S^-1*R^-3*S^-1*R*S^-3*R ] C147.6 : Type {8,8}_146 Order 1168 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1 ] C147.7 : Type {8,8}_292 Order 1168 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1 ] C147.8 : Type {12,12}_146 Order 876 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, R*S^-1*R^-1*S*R^4*S^-1*R^3*S^2 ] C147.9 : Type {12,12}_146 Order 876 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-2*R^-2*S^2*R^-1*S*R^2*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C147.10 : Type {77,77}_4 Order 616 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^58*R^-1*S*R^-15 ] Genus 148 C148.1 : Type {3,12}_294 Order 3528 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (S^2*R^-1*S^2)^3, S^2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C148.2 : Type {4,16}_16 Order 1568 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^4*R^-1*S*R^-1*S*R^-1*S^-1*R*S^3 ] C148.3 : Type {4,16}_16 Order 1568 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^4*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S*R^-1, R*S^-1*R*S^-2*R^-1*S*R^-1*S^-3*R*S*R^-1*S^-2 ] C148.4 : Type {6,6}_6 Order 1764 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, S*R^-1*S^-3*R^2*S^-1*R^-3*S^3*R*S^-1*R*S ] C148.5 : Type {6,6}_42 Order 1764 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^2*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S^3*R^-1 ] C148.6 : Type {6,6}_42 Order 1764 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S*R^2*S^-1*R^2*S^-1*R^3*S^-1*R^2*S*R^-2*S, S^-2*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^3*R*S^-1*R ] C148.7 : Type {6,6}_294 Order 1764 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R^-1*S^-1*R*S^2*R^2*S^-1*R^-2*S*R*S^-1*R^-2*S^-1*R^2*S^-1*R^2*S^-2*R^-1*S*R*S^-1*R^-1 ] C148.8 : Type {6,6}_294 Order 1764 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S*R^-1*S^-2*R*S^-1 ] C148.9 : Type {6,12}_4 Order 1176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, (R*S^-1*R)^4, (R*S^-1)^6, S*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-1 ] C148.10 : Type {6,12}_28 Order 1176 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^12, S^-4*R*S^-1*R^2*S^2*R^-2*S^-1*R ] C148.11 : Type {6,12}_28 Order 1176 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, R*S^-2*R^-1*S*R^-2*S^-1*R^2*S^2 ] C148.12 : Type {6,12}_196 Order 1176 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C148.13 : Type {6,12}_196 Order 1176 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C148.14 : Type {6,24}_84 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-7*R^3*S^-5, (S^2*R^-1*S^2)^3, S^-2*R^-1*S^3*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2 ] C148.15 : Type {6,24}_168 Order 1008 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S ] C148.16 : Type {6,24}_168 Order 1008 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^24 ] C148.17 : Type {6,24}_168 Order 1008 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S*R^-2*S*R*S^-1*R^-2*S^-1*R*S^4 ] C148.18 : Type {6,24}_168 Order 1008 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^24 ] C148.19 : Type {6,66}_154 Order 924 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^11*R^2*S^4*R^-1*S^-1*R*S^6 ] C148.20 : Type {6,66}_154 Order 924 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^11*R*S^-1*R*S*R^-1*S^-1*R^2*S^-2*R^-1*S^6 ] C148.21 : Type {9,18}_98 Order 882 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C148.22 : Type {16,16}_14 Order 784 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^7*S^-1*R^2*S^2 ] C148.23 : Type {16,16}_14 Order 784 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S^-2*R, R^2*S^-2*R^3*S^-1*R^2*S^2 ] C148.24 : Type {18,18}_42 Order 756 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^6*S^5, R^-4*S^2*R^-1*S*R^-4*S^4*R^-1*S ] C148.25 : Type {18,18}_42 Order 756 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, R*S^-1*R^-1*S*R^2*S^-1*R^-3*S*R^-2*S^-1*R*S^-1, R^-1*S^2*R^-2*S^2*R^-7*S^4 ] C148.26 : Type {45,90}_14 Order 630 mV = 15 mF = 15 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, S*R^-1*S*R^-13*S*R^-1*S*R^-1*S^2*R^-1*S^4*R^-9*S*R^-2*S*R^-3*S^2 ] Genus 149 C149.1 : Type {4,8}_148 Order 2368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S ] C149.2 : Type {4,8}_296 Order 2368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^2*S ] C149.3 : Type {4,12}_444 Order 1776 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C149.4 : Type {4,20}_370 Order 1480 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C149.5 : Type {6,6}_148 Order 1776 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^3*R*S^-1*R*S ] C149.6 : Type {6,15}_370 Order 1110 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^2*S^2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-2*R^-1*S ] C149.7 : Type {8,8}_148 Order 1184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1 ] C149.8 : Type {8,8}_148 Order 1184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1*R*S^-1*R*S^-1 ] C149.9 : Type {12,12}_74 Order 888 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, S^-1*R^-1*S*R^4*S*R^-3*S^-1, S^-4*R^3*S^-3*R*S^-1 ] C149.10 : Type {12,12}_74 Order 888 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R^-1*S^-3*R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-2*R*S^2*R^-1*S ] C149.11 : Type {12,12}_74 Order 888 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-1*S^-1*R*S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-1*S*R^-2*S^-2*R*S^-1*R^2*S ] C149.12 : Type {20,20}_74 Order 740 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S^-1 ] Genus 150 [None] Genus 151 C151.1 : Type {3,12}_24 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, S*R^-1*S^3*R*S^-2*R*S^-2*R*S^3*R^-1*S^-3*R*S^2, S*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^3*R^-1*S^2*R^-1*S ] C151.2 : Type {4,16}_400 Order 1600 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^2*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2 ] C151.3 : Type {4,16}_400 Order 1600 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^-2*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C151.4 : Type {4,24}_40 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^2*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-2*R*S ] C151.5 : Type {4,24}_40 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, R*S^-1*R*S^-3*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1 ] C151.6 : Type {4,28}_350 Order 1400 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^2*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2, S*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S^-2*R*S^2 ] C151.7 : Type {4,64}_320 Order 1280 mV = 16 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^16*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-5*R*S^7 ] C151.8 : Type {4,64}_320 Order 1280 mV = 16 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^64 ] C151.9 : Type {4,124}_310 Order 1240 mV = 31 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^31*R^2*S*R^-1*S^-2*R*S^28 ] C151.10 : Type {6,8}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^2*R*S^-1*R^-2*S^4*R^-1*S, (R*S^-1*R)^4, (S^-1*R^2*S^-1)^3 ] C151.11 : Type {6,9}_90 Order 1350 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S^-1*R^3*S^-1*R*S^-1*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S*R^-1*S*R^-1*S*R*S^-1*R ] C151.12 : Type {6,12}_8 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-2)^4, S^12, S^-3*R*S^-1*R^-2*S^-3*R*S^-1*R ] C151.13 : Type {6,153}_306 Order 918 mV = 51 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-26*R^3*S*R^-1*S^-24 ] C151.14 : Type {9,24}_18 Order 864 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S*R^-1*S^2*R^2*S^2*R^-1*S, S^-7*R*S^-1*R^-1*S^6*R^-1*S^-2 ] C151.15 : Type {16,16}_10 Order 800 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S^4*R^-1, R^2*S^-1*R^8*S^-1*R^2*S^-2 ] C151.16 : Type {16,16}_20 Order 800 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S^-3*R^4*S^-1*R*S*R^-1*S^-1 ] C151.17 : Type {16,16}_50 Order 800 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R, R^16 ] C151.18 : Type {16,16}_100 Order 800 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1 ] C151.19 : Type {24,24}_30 Order 720 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S*R*S^-3*R*S^4, R^-1*S*R^-2*S*R^-3*S*R^-2*S^2*R^-7*S*R^-1*S^2 ] C151.20 : Type {24,24}_30 Order 720 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-2*R^3*S*R^-1*S^-3 ] C151.21 : Type {24,24}_60 Order 720 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^6*S^-1*R*S^-1*R*S^-1 ] C151.22 : Type {24,24}_60 Order 720 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R^-1*S*R^3*S^-2*R*S^2 ] C151.23 : Type {28,28}_50 Order 700 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-2 ] C151.24 : Type {64,64}_10 Order 640 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^2*S^-1*R*S, R^-1*S^36*R^-1*S*R^-1*S^3*R^-1*S^2*R^-9*S*R^-3*S^5 ] C151.25 : Type {64,64}_20 Order 640 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1, S^-1*R*S^-1*R*S^-6*R^10*S^-2*R*S^-3*R*S^-1*R^4 ] C151.26 : Type {124,124}_10 Order 620 mV = 31 mF = 31 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-30*S*R^-3*S*R^-2*S*R^-1*S*R^-1*S*R^-9*S*R^-3*S^4*R^-1 ] Genus 152 C152.1 : Type {5,10}_302 Order 1510 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-1*R^2*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^3 ] C152.2 : Type {5,10}_302 Order 1510 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^-1*S*R^2*S^-5*R^2*S^2*R^-1*S^4 ] C152.3 : Type {6,6}_302 Order 1812 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] Genus 153 C153.1 : Type {3,12}_152 Order 3648 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^3*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S ] C153.2 : Type {4,80}_40 Order 1280 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2, S^-10*R*S*R^-1*S^-1*R*S^5*R^-1*S^-3 ] C153.3 : Type {6,6}_152 Order 1824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R*S^-1*R*S^2*R^-1*S^-2*R*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R^-2*S^-2*R*S^-1*R*S^-1*R*S ] C153.4 : Type {12,12}_76 Order 912 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-2*S^-1*R*S^-1 ] C153.5 : Type {12,48}_8 Order 768 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^2*R^-1*S*R^2*S^-2*R*S, R^12 ] C153.6 : Type {16,24}_24 Order 768 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^-2*S*R^3*S^2*R^-1*S, S^-2*R^-1*S^2*R*S^-1*R^3*S*R^-1*S^-6 ] C153.7 : Type {42,42}_4 Order 672 mV = 6 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R^-4*S^23*R^-2*S*R^-9*S*R^-1*S ] C153.8 : Type {80,80}_8 Order 640 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^3*R*S^-1*R^2*S^-1*R*S^3, S^3*R^-3*S^2*R^-5*S^3*R^-4 ] Genus 154 C154.1 : Type {4,12}_102 Order 1836 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1 ] C154.2 : Type {4,72}_72 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^18*R^2*S^2*R^-1*S^-4*R*S^12 ] C154.3 : Type {6,54}_54 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^7*R*S^-1*R^-1*S^3*R^-2*S^7 ] C154.4 : Type {8,8}_102 Order 1224 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-3*S*R^4*S^4*R^2*S ] C154.5 : Type {8,8}_102 Order 1224 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^2*S^-1*R^-3*S^-1*R*S^4*R^-1 ] C154.6 : Type {20,40}_8 Order 720 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R*S^-3*R^2*S^-2*R*S^-1 ] C154.7 : Type {40,40}_34 Order 680 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S^2*R^-2*S, R^-2*S^3*R^-2*S*R^-7*S^5 ] C154.8 : Type {72,72}_6 Order 648 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, S^-1*R^13*S^-5*R^3*S^-1*R^8*S^-2*R^3 ] Genus 155 C155.1 : Type {6,69}_322 Order 966 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-12*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-7 ] C155.2 : Type {48,48}_14 Order 672 mV = 16 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^2*R^-1*S^16*R^-2*S*R^-1*S*R^-1*S*R^-1*S^2*R^-8*S*R^-3*S*R^-2*S*R^-3 ] C155.3 : Type {48,48}_28 Order 672 mV = 16 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, R^-2*S*R^3*S^-1*R*S^2, R^-6*S*R^-2*S^2*R^-8*S^2*R^-2*S ] Genus 156 C156.1 : Type {5,10}_310 Order 1550 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^2*R*S^-1*R*S^-1*R^2*S^-1*R*S^5*R^-1 ] C156.2 : Type {5,10}_310 Order 1550 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-2*R^-1*S*R^-1*S*R^2*S^5*R^-2*S^-1 ] C156.3 : Type {10,15}_186 Order 930 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R^2*S^-1*R^-3*S^3*R^-1*S ] C156.4 : Type {10,15}_186 Order 930 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-2*R*S^-1*R^-2*S^-1*R*S^-1*R*S^2 ] Genus 157 C157.1 : Type {3,12}_156 Order 3744 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, (S^2*R^-1*S^2)^3, S*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S ] C157.2 : Type {4,12}_52 Order 1872 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^12, R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1 ] C157.3 : Type {4,16}_208 Order 1664 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C157.4 : Type {4,16}_208 Order 1664 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S^-1*R*S^3*R*S^-1*R*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^2 ] C157.5 : Type {4,28}_364 Order 1456 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^28 ] C157.6 : Type {4,52}_26 Order 1352 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^-13*R^2*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^-5 ] C157.7 : Type {6,6}_156 Order 1872 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S*R*S^-1*R*S^-1*R*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S^3*R*S^-2*R^-1*S*R^-1*S ] C157.8 : Type {6,6}_156 Order 1872 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-2*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-1*R*S*R^-1*S^3*R^-1*S ] C157.9 : Type {6,12}_52 Order 1248 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^-2*R*S*R^-1*S^-2*R^-2*S^-1 ] C157.10 : Type {6,12}_52 Order 1248 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S*R^-1*S*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R^2*S*R^-1 ] C157.11 : Type {6,12}_104 Order 1248 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, (R*S^-5)^2, R^-1*S^-3*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^2 ] C157.12 : Type {6,12}_104 Order 1248 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R*S^3, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, R^-1*S*R^-1*S*R^2*S^-1*R^2*S^-1*R^3*S^-1*R^2*S*R^-2*S*R^-2*S*R^-1 ] C157.13 : Type {6,15}_390 Order 1170 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^2*S*R^-1*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S^-1*R^2*S^2 ] C157.14 : Type {6,39}_26 Order 1014 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-3*S^-8 ] C157.15 : Type {7,8}_16 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^8, (R*S)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S, R^-1*S^2*R*S^-1*R^2*S^-3*R*S^-1 ] C157.16 : Type {7,8}_16 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, S^8, (R*S)^2, (S^-1*R)^3, R*S^3*R*S^-1*R^3*S^4*R^-2*S^-1 ] C157.17 : Type {9,18}_52 Order 936 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R^-1*S*R^2*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C157.18 : Type {12,12}_78 Order 936 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, R^12 ] C157.19 : Type {12,12}_78 Order 936 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, R^12, R*S^-1*R^5*S^-2*R*S^-1*R ] C157.20 : Type {12,12}_78 Order 936 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^12, R^-1*S^2*R*S^-2*R^2*S^-1*R*S^2*R^-1*S ] C157.21 : Type {12,12}_78 Order 936 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, S*R*S^-2*R^3*S^3*R^-2, S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C157.22 : Type {12,12}_78 Order 936 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S^-2*R*S^-1*R*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C157.23 : Type {12,12}_78 Order 936 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^12, S^2*R*S^-2*R^2*S^-1*R^-3*S^2*R^-1*S*R^-1 ] C157.24 : Type {12,18}_36 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-2*R^2*S^3*R^-1, R^12, S^-1*R^2*S^-1*R^3*S^-2*R^3, R^-2*S*R^5*S^-4*R*S ] C157.25 : Type {12,18}_36 Order 864 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S*R*S^-1*R^-1*S*R^3*S^-1*R^2*S^-1*R*S ] C157.26 : Type {12,18}_72 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, S*R*S^-1*R^-1*S*R^3*S^-1*R^2*S^-1*R*S ] C157.27 : Type {16,16}_52 Order 832 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R^-1*S*R*S^-1*R^-2*S*R^-1*S^2*R^-2*S^-1*R*S^-1*R*S^2*R^-1*S ] C157.28 : Type {16,16}_52 Order 832 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R*S^-1*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S ] C157.29 : Type {16,16}_104 Order 832 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, R^-1*S*R^2*S^-2*R*S^-1*R^-2*S^2*R^-1*S*R^-1*S*R^-2*S^2 ] C157.30 : Type {27,54}_26 Order 702 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R^-1*S^2*R*S^-1*R*S^-2*R*S^2, R^2*S^-3*R^3*S^-1*R^9*S^-8*R ] C157.31 : Type {28,28}_26 Order 728 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R*S^-4*R^12*S^-2*R^4*S^-2*R^3 ] C157.32 : Type {52,52}_26 Order 676 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R^3*S^-3*R*S^-1*R^10*S^-6*R*S^-1 ] Genus 158 C158.1 : Type {6,6}_314 Order 1884 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^3*R*S^-2*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] Genus 159 C159.1 : Type {3,12}_632 Order 3792 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^3*R^-1*S ] Genus 160 C160.1 : Type {6,162}_162 Order 972 mV = 54 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^27*R^2*S*R^-2*S^26 ] C160.2 : Type {18,42}_126 Order 756 mV = 7 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^-6*R^2*S^-1*R^2*S^-7 ] Genus 161 C161.1 : Type {4,8}_20 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2, S^-1*R*S^-1*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S^-2 ] C161.2 : Type {4,8}_20 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1 ] C161.3 : Type {4,8}_20 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, R*S^-4*R^-1*S*R^-1*S*R^2*S^4*R^2*S^-1*R*S^-1, S^2*R*S^-2*R^-1*S*R*S^-2*R^2*S^-1*R*S^2*R^-1*S^-1*R*S ] C161.4 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2 ] C161.5 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^-1*R*S^-1*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S^-2 ] C161.6 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1 ] C161.7 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2 ] C161.8 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C161.9 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2 ] C161.10 : Type {4,8}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C161.11 : Type {4,8}_80 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, (R*S^-2)^4, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1 ] C161.12 : Type {4,8}_80 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C161.13 : Type {4,8}_80 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S ] C161.14 : Type {4,8}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R^2*S ] C161.15 : Type {4,8}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^2*S^2*R^2*S ] C161.16 : Type {4,12}_30 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^3, S^12, S^2*R*S^-4*R*S^-2*R*S*R^-1*S*R^-1*S^-1*R*S ] C161.17 : Type {4,12}_60 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^2*R*S^-2*R*S^-1*R^-1*S*R^2*S^-1*R*S^-1*R*S^2*R^-1 ] C161.18 : Type {4,12}_120 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1 ] C161.19 : Type {4,12}_120 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, R*S^-2*R*S^-2*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-1, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1 ] C161.20 : Type {4,12}_120 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C161.21 : Type {4,20}_40 Order 1600 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-2, S^20 ] C161.22 : Type {4,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^3, S*R*S^-5*R*S^6 ] C161.23 : Type {4,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-2*R, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2, S*R*S^-5*R*S^6 ] C161.24 : Type {4,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-5)^2, S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S*R^-1*S, S^2*R*S^-3*R^-1*S^2*R^-1*S^-3*R*S^2 ] C161.25 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^-3, (R*S^-5)^2, S^-2*R^-1*S*R*S^-1*R^-1*S^2*R^-2*S^4*R^-1*S^-2 ] C161.26 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, (R*S^-5)^2, S^24 ] C161.27 : Type {4,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2, S*R*S^-5*R*S^6 ] C161.28 : Type {4,36}_90 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-9*R*S^2*R^-1*S^-1*R*S^5*R^-1*S^-1 ] C161.29 : Type {4,36}_180 Order 1440 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^36 ] C161.30 : Type {4,68}_340 Order 1360 mV = 17 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^68 ] C161.31 : Type {4,132}_330 Order 1320 mV = 33 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^33*R^2*S*R^-1*S^-2*R*S^30 ] C161.32 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S^-4*R^3*S^4*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S ] C161.33 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S^-4*R^3*S^4*R^-2, (R*S^-1*R)^4, (R*S^-1*R*S^-2*R)^2, S^-1*R*S^-3*R^2*S^-3*R*S^-1 ] C161.34 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, (R*S^-1*R)^4, R*S^-2*R^-2*S*R^2*S^-1*R*S*R^-2*S^-1 ] C161.35 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S^-4*R^3*S^4*R^-2, (R*S^-1*R)^4, S^-1*R*S^-3*R^2*S^-3*R*S^-1, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1 ] C161.36 : Type {6,8}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^3*R*S^-1*R^-2*S^-1*R^2*S*R^-1, (R*S^-1*R)^4 ] C161.37 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R^-2*S*R*S^-1*R^2*S*R^-2*S^2 ] C161.38 : Type {6,8}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-2*R^-2*S*R^2*S^-1*R*S*R^-2*S^-1 ] C161.39 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S^-4*R^3*S^4*R^-2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-1*R*S^-2*R)^2 ] C161.40 : Type {6,8}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-1*R*S^-2*R)^2, S^-1*R*S^-4*R^2*S^-1*R*S*R^-2*S^-1 ] C161.41 : Type {6,8}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^2*R*S^-1*R*S^-1*R*S^-1*R^3*S^-1*R*S*R^-2*S*R^-1 ] C161.42 : Type {6,8}_48 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^2*R*S^-1*R*S^-1*R*S^-1*R^3*S*R^-1*S^-1*R^2*S*R^-1 ] C161.43 : Type {8,8}_10 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-2*S*R^3*S^-2*R*S^2, (R*S^-1*R)^4 ] C161.44 : Type {8,8}_10 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-2*S*R^3*S^-2*R*S^2, S^-2*R^2*S^-1*R^2*S^-1*R*S^-2*R ] C161.45 : Type {8,8}_10 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^-2*S*R^3*S^-2*R*S^2 ] C161.46 : Type {8,8}_10 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, R^-1*S*R^2*S^-1*R^-3*S^-1*R^3*S*R^-1 ] C161.47 : Type {8,8}_10 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^-1*R*S*R^-1*S^-1, R^-1*S*R^2*S^-1*R^-3*S^-1*R^3*S*R^-1 ] C161.48 : Type {8,8}_20 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-3*S*R^3*S^4*R^-2, S^-2*R^2*S^-1*R^2*S^-1*R*S^-2*R ] C161.49 : Type {8,8}_20 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-3*S*R^3*S^4*R^-2, (R*S^-1*R)^4, (R*S^-1*R*S^-2*R)^2 ] C161.50 : Type {8,8}_20 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1 ] C161.51 : Type {8,8}_20 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, (R*S^-1*R)^4 ] C161.52 : Type {8,8}_20 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R*S^-1*R*S^-1*R^-2*S^2*R^-2*S*R^-1*S^-2 ] C161.53 : Type {8,8}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, R*S^-2*R*S^-1*R^-4*S^-1*R^3*S^-2*R ] C161.54 : Type {8,8}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^-1*R*S*R^-1*S^-1, R*S^-2*R*S^-1*R^-4*S^-1*R^3*S*R^-1*S^-1 ] C161.55 : Type {8,8}_20 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S^2 ] C161.56 : Type {8,8}_40 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1 ] C161.57 : Type {8,8}_40 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-2*S*R^-1*S^2*R^-2*S^-2*R*S^-1*R*S^-1 ] C161.58 : Type {8,8}_40 Order 1280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-2*R^2*S*R^-1*S ] C161.59 : Type {8,8}_40 Order 1280 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-2*R^2*S^-2 ] C161.60 : Type {8,8}_40 Order 1280 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, R^-1*S^-4*R^2*S^4*R^-1, S^2*R^-2*S^2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1 ] C161.61 : Type {8,8}_40 Order 1280 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S*R^-1*S^2 ] C161.62 : Type {8,8}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R^2*S^-1*R^3*S^2*R^-1*S^-1, R^-1*S*R^-1*S*R^2*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^-1*S*R^-2*S^-2 ] C161.63 : Type {8,8}_40 Order 1280 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R^2*S^-1*R^3*S^2*R^-1*S^-1, R^-1*S*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-2*R^-1*S ] C161.64 : Type {8,8}_40 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^2*R^2*S^-2*R^2*S^-2*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1 ] C161.65 : Type {8,8}_40 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^2 ] C161.66 : Type {8,8}_40 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^2*R^2*S^-1*R*S^2*R*S^-1*R*S^-1 ] C161.67 : Type {8,8}_40 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^-1*S*R^-2*S^-2 ] C161.68 : Type {8,8}_80 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^-1 ] C161.69 : Type {8,16}_4 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2 ] C161.70 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3 ] C161.71 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1 ] C161.72 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3, S*R*S^-2*R^3*S^2*R^-1*S*R^-1 ] C161.73 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, S*R*S^-3*R^2*S^4*R^-1 ] C161.74 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-2*R^3*S^2*R^-1*S*R^-1, S*R^-1*S^2*R^3*S^-1*R^2*S^2 ] C161.75 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-2*R)^2, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2 ] C161.76 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2 ] C161.77 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C161.78 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R*S^-2*R^3*S^-1*R*S^-1*R*S ] C161.79 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^2*R^-1*S*R^2*S^-2*R*S ] C161.80 : Type {8,16}_8 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-2*R^3*S^-1*R*S^-1*R*S, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R, S^-3*R^-1*S*R^2*S^-2*R*S^-2 ] C161.81 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1, R^-1*S*R^-1*S*R^3*S^-2*R*S^2 ] C161.82 : Type {8,16}_16 Order 1024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R*S^-2*R^3*S*R^-1*S^-2*R, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C161.83 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, (R*S^-2)^4, S^2*R*S^-1*R*S^-1*R^2*S^-3*R^2*S ] C161.84 : Type {8,16}_16 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R*S^-3*R^2*S^-3*R*S, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^2 ] C161.85 : Type {8,24}_30 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, R^-1*S*R^-1*S^2*R^2*S^5 ] C161.86 : Type {8,24}_60 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S^-5*R^2*S^-2*R*S^-1*R ] C161.87 : Type {8,24}_60 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, R*S^-4*R^2*S^-1*R^-1*S^7 ] C161.88 : Type {8,24}_120 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^24 ] C161.89 : Type {8,24}_120 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, R^-1*S^5*R*S^-1*R^2*S^-2*R*S^2*R^-1*S^-2 ] C161.90 : Type {8,24}_120 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^24 ] C161.91 : Type {8,24}_120 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^2*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, R*S^-4*R^2*S^-1*R^-1*S^7 ] C161.92 : Type {8,24}_120 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, R^-1*S*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-6 ] C161.93 : Type {8,88}_110 Order 880 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^11*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S^6 ] C161.94 : Type {8,88}_220 Order 880 mV = 22 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^11*R*S^-1*R^2*S^-2*R*S^8 ] C161.95 : Type {12,12}_20 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^3*S*R^-1*S^-2, R^12, (R*S^-2*R^3)^2 ] C161.96 : Type {12,12}_20 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, (R*S^-1*R*S^-2*R)^2 ] C161.97 : Type {12,12}_40 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-1*R*S^-1*R^2, S*R*S^-1*R^4*S*R^-1*S^3 ] C161.98 : Type {12,12}_40 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, S*R^-1*S*R^4*S^-1*R*S^3 ] C161.99 : Type {12,12}_40 Order 960 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-2*S^-1*R*S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-2*S^-1*R*S^-2*R^2*S^2 ] C161.100 : Type {12,28}_210 Order 840 mV = 7 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^-2*R^-1*S*R*S^-1*R^-1*S^2*R^-2*S^2*R^-1*S^-6 ] C161.101 : Type {14,14}_4 Order 896 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R^14, S^-1*R^7*S^-1*R^3*S^-1*R ] C161.102 : Type {20,20}_20 Order 800 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, R^-3*S^3*R^-1*S*R^-8*S^2*R^-2 ] C161.103 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S^2, S*R^6*S^5, S^-3*R^4*S^-1*R^2*S^-1*R ] C161.104 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^3*S*R^-1*S^-2, S^-1*R^6*S^-5, R^-1*S^2*R^4*S^-1*R^2*S^-2 ] C161.105 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^6*S^5, S*R*S^-2*R^3*S^3*R^-2, R^-2*S^3*R^-1*S*R^-3*S*R^-5*S^6*R^-1*S ] C161.106 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-5, R^2*S^-1*R^4*S^-2*R*S^-1*R, R*S^-3*R^3*S^-1*R*S^-1*R*S^-1 ] C161.107 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, R*S^-1*R*S^-1*R^3*S^-3*R*S^-1 ] C161.108 : Type {24,24}_8 Order 768 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-5, R^2*S^-1*R^4*S^-2*R*S^-1*R, R^2*S^-2*R^3*S^-1*R*S^-3 ] C161.109 : Type {36,36}_20 Order 720 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^-1*S*R^4*S^-1*R*S^3, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1, R^-2*S*R^-1*S*R^-1*S*R^-6*S^2*R^-1*S^2 ] C161.110 : Type {36,36}_20 Order 720 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R*S^-6*R^2*S^-1*R*S^-3*R^12*S^-6*R*S^-2*R ] C161.111 : Type {68,68}_10 Order 680 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^-1*R*S^-33*R^2*S^-5*R^3*S^-1*R^10*S^-1*R*S^-1*R^2*S^-4*R*S^-2 ] C161.112 : Type {84,84}_4 Order 672 mV = 12 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R^-4*S^23*R^-2*S*R^-8*S*R^-3 ] C161.113 : Type {84,84}_4 Order 672 mV = 12 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^65*R^-1*S*R^-15 ] C161.114 : Type {132,132}_10 Order 660 mV = 33 mF = 33 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^2*S^-31*R^2*S^-5*R^3*S^-1*R^9*S^-1*R*S^-3*R*S^-4*R*S^-2 ] Genus 162 C162.1 : Type {12,30}_140 Order 840 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S*R*S^-4*R^2*S^-2*R*S^3 ] C162.2 : Type {12,30}_140 Order 840 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-1*S*R^2*S^-1*R^-3*S*R^-2*S^-1*R*S^-1, S^-2*R^-1*S*R^-2*S*R^-2*S^3*R^-1*S^-3 ] Genus 163 C163.1 : Type {4,8}_8 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, S^2*R^-1*S^-4*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S ] C163.2 : Type {4,8}_24 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-1)^6, (R*S^-2)^4, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S ] C163.3 : Type {4,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R*S^2 ] C163.4 : Type {4,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, S^12, S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-4 ] C163.5 : Type {4,12}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, S^12, S^-3*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-3 ] C163.6 : Type {4,16}_48 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-1)^6, S^16 ] C163.7 : Type {4,16}_48 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^3*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^3 ] C163.8 : Type {4,40}_40 Order 1440 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^40 ] C163.9 : Type {6,9}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, R^-1*S*R^2*S^-1*R^-2*S*R^3*S^-1*R^2*S*R^-2*S^-2 ] C163.10 : Type {6,9}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-1)^6, S^-3*R*S^-1*R^-2*S^-1*R*S^-1*R^2*S^-1 ] C163.11 : Type {6,9}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, S*R^2*S^-1*R^-3*S^-1*R*S*R^-2*S ] C163.12 : Type {6,9}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, (R*S^-1)^6, S^-1*R^2*S^-1*R^-1*S*R^-2*S^-2*R^2*S^-1*R ] C163.13 : Type {8,8}_6 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-2*R ] C163.14 : Type {8,8}_18 Order 1296 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-1*S^-4*R^4*S*R^-3*S^2 ] C163.15 : Type {12,12}_18 Order 972 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S*R^-2*S^-1*R, S^-1*R^-1*S*R^4*S*R^-1*S^-1*R^2 ] C163.16 : Type {12,12}_18 Order 972 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^2 ] C163.17 : Type {12,12}_18 Order 972 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^2*R^-1*S^2 ] C163.18 : Type {12,12}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-2, R^12, S^2*R^5*S^-1*R*S^-1*R*S ] C163.19 : Type {12,12}_18 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S*R^6*S^-1*R^2*S*R^-1, (R*S^-2*R^3)^2 ] C163.20 : Type {12,24}_8 Order 864 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-3*R^4*S^-5, S^-3*R*S^-1*R^2*S^-3*R*S^-1 ] C163.21 : Type {16,16}_6 Order 864 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-1*R^-1*S*R^4*S*R^-3*S^-1, R^16 ] C163.22 : Type {16,16}_12 Order 864 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^-1*R*S^-1*R*S, R^-2*S*R^4*S*R^-1*S^-1*R*S ] C163.23 : Type {40,40}_6 Order 720 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^5*S^3*R^-1, R^18*S^-1*R^2*S^-2*R*S^-2*R^9*S^-1*R^4 ] Genus 164 C164.1 : Type {6,6}_326 Order 1956 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] Genus 165 C165.1 : Type {4,8}_164 Order 2624 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C165.2 : Type {4,8}_328 Order 2624 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C165.3 : Type {4,12}_492 Order 1968 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R^-1*S*R^-1*S*R^-1*S*R*S^-1*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^-1*R*S^2*R^-2*S*R^-1*S^2 ] C165.4 : Type {4,20}_410 Order 1640 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R^-1*S^-3*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-2*R^-1 ] C165.5 : Type {8,8}_164 Order 1312 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R*S^-1*R^-2*S*R^3*S*R^-1*S^-1*R*S^2 ] C165.6 : Type {8,8}_164 Order 1312 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^2*R^2*S^-1*R*S^2*R^2*S ] C165.7 : Type {8,8}_164 Order 1312 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^-1*S*R^2*S ] C165.8 : Type {12,12}_82 Order 984 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C165.9 : Type {16,96}_96 Order 768 mV = 24 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^12*R^-3*S^-6*R^-1*S^6 ] C165.10 : Type {20,20}_82 Order 820 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-3*R^3*S^-1*R^2*S^-1 ] C165.11 : Type {20,20}_82 Order 820 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-4*R^2*S^-3*R ] C165.12 : Type {20,20}_82 Order 820 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C165.13 : Type {24,32}_96 Order 768 mV = 8 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S*R*S^-1*R^4*S^2*R^-3, S^-3*R^-1*S^11*R^-1*S^-2, R^-1*S*R*S^-1*R^-8*S^-5*R^2*S^-1 ] C165.14 : Type {45,45}_4 Order 720 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-2*S, R^-3*S*R^-26*S^3*R^-9*S*R^-1*S ] Genus 166 C166.1 : Type {10,10}_110 Order 1100 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, S^-1*R*S^-2*R^2*S^-1*R*S^-2 ] C166.2 : Type {10,10}_110 Order 1100 mV = 1 mF = 1 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, R*S^-2*R^3*S^-1*R^2*S^-1 ] C166.3 : Type {10,10}_110 Order 1100 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1 ] C166.4 : Type {10,10}_110 Order 1100 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, R^-1*S^2*R*S^-1*R^-2*S^5*R^-2 ] C166.5 : Type {10,40}_88 Order 880 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R^2*S^-1*R^3*S^-2*R*S^-1, S*R*S^-2*R^3*S^5 ] C166.6 : Type {10,40}_88 Order 880 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, S^-2*R*S^-1*R^2*S^-2*R*S^-1, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3 ] C166.7 : Type {10,40}_88 Order 880 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^-1*R^-1*S*R^5*S^-6 ] C166.8 : Type {10,40}_88 Order 880 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3 ] Genus 167 [None] Genus 168 [None] Genus 169 C169.1 : Type {3,9}_36 Order 6048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^9, (R*S)^2, S*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^2 ] C169.2 : Type {3,12}_168 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^12, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2 ] C169.3 : Type {3,12}_168 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S ] C169.4 : Type {3,18}_18 Order 3024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^2, (R*S^-8)^2, S*R^-1*S^2*R*S^-3*R^-1*S^3*R^-1*S^-4*R*S^4*R^-1*S ] C169.5 : Type {3,24}_112 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (R*S^-4*R*S^-3)^2, S^-1*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-3*R*S^-1 ] C169.6 : Type {3,30}_70 Order 2520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^2, S*R*S^-3*R*S^-4*R^-1*S^3*R^-1*S^4*R^-1*S ] C169.7 : Type {5,8}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^8, (R*S)^2, (R*S^-1)^6, R*S^-4*R^-1*S*R^2*S^4*R^-2*S^-1, R*S^-2*R^-1*S^2*R^2*S^-1*R*S^2*R^-1*S^-1 ] C169.8 : Type {6,6}_42 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-1)^6, S^-1*R^-2*S*R*S^-1*R^-3*S^-1*R*S*R^-2*S^-1, S^-1*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R^2*S^-1*R, S^2*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^3*R^-1 ] C169.9 : Type {6,6}_168 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^2*R*S^-2*R^2*S^2*R^-1*S ] C169.10 : Type {6,6}_168 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, S^2*R*S^-1*R^-2*S*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-2 ] C169.11 : Type {6,9}_6 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, (R*S^-1)^6, S*R*S^-2*R*S^-1*R^3*S^2*R^-1*S, S^-1*R^-2*S*R*S^-1*R^-3*S^-1*R*S*R^-2*S^-1 ] C169.12 : Type {6,9}_14 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (S^-1*R)^3, R*S^-1*R^-1*S^2*R^-2*S*R^3*S^-2*R^2*S^-3 ] C169.13 : Type {6,9}_18 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, R*S^-1*R^-2*S*R^3*S^-1*R^2*S^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^3 ] C169.14 : Type {6,9}_252 Order 1512 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S*R^-2*S^2*R*S^-1*R*S^-1*R^-1 ] C169.15 : Type {6,9}_252 Order 1512 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-1*S*R*S^-1*R^-1 ] C169.16 : Type {6,9}_252 Order 1512 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-2*S*R^-1 ] C169.17 : Type {6,12}_56 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, (R*S^-5)^2, R*S^-1*R^-1*S*R*S^-2*R^-1*S^2*R^-2*S^-2*R*S^-2*R*S^-2 ] C169.18 : Type {6,12}_56 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S^12, R*S^-1*R^-1*S*R^-2*S*R^2*S^-1*R^2*S*R^-1*S^-1*R^2*S*R^-1*S ] C169.19 : Type {6,12}_56 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R*S^-1 ] C169.20 : Type {6,21}_28 Order 1176 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-3*S*R^-2*S^-1*R^2*S^-1*R*S^2 ] C169.21 : Type {6,24}_12 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-1*R*S^-2*R)^2, S^-1*R*S^-3*R^2*S^-3*R*S^-1, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2 ] C169.22 : Type {6,24}_12 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, S^-2*R^2*S^-1*R^-2*S^2*R^-1*S^-1*R, S^2*R*S^-5*R^-1*S^3*R^-2*S^2 ] C169.23 : Type {6,27}_378 Order 1134 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-27 ] C169.24 : Type {6,27}_378 Order 1134 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-5*R^-1*S*R^-3*S^-1*R^2*S^-1*R^2*S^-1*R ] C169.25 : Type {6,27}_378 Order 1134 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^3*S^-1*R*S*R^-1*S^-1*R*S^2 ] C169.26 : Type {6,45}_180 Order 1080 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-2*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S^-2, S*R*S^-1*R^-1*S^6*R^-2*S*R^-1*S^-1*R*S^4*R^-2*S ] C169.27 : Type {6,75}_350 Order 1050 mV = 25 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-13*R^2*S^-1*R^2*S^-6*R*S*R^-1*S^-4 ] C169.28 : Type {6,171}_342 Order 1026 mV = 57 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-29*R^2*S^-1*R*S^4*R^-1*S^-23 ] C169.29 : Type {12,12}_84 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, S^2*R*S^-1*R*S^-2*R^-2*S^-2*R*S^3*R^-1 ] C169.30 : Type {12,12}_84 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-2*R*S^-1*R^3*S^-1*R^2*S^-2 ] C169.31 : Type {12,36}_18 Order 864 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-2*R^2*S^3*R^-1, R^12, S^-1*R^2*S^-1*R^3*S^-2*R^3, R^-2*S*R^5*S^-1*R*S^4 ] C169.32 : Type {12,36}_36 Order 864 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^-1*R^6*S^-1*R*S^-2*R, S^-2*R^-1*S^4*R^-3*S^-6 ] C169.33 : Type {12,36}_36 Order 864 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^12, R^-1*S^6*R^-4*S*R^-1*S^-1*R^2*S^-4 ] C169.34 : Type {12,36}_36 Order 864 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^-1*R^-1*S*R*S^-1*R^3*S*R^-2*S*R^-1*S^-1 ] C169.35 : Type {12,36}_72 Order 864 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, R^-1*S*R^-2*S*R^3*S^-1*R*S*R^-1*S^-2 ] C169.36 : Type {12,60}_70 Order 840 mV = 10 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^-2*R^-1*S^3*R^2*S^2*R^-1*S^-3 ] C169.37 : Type {12,60}_70 Order 840 mV = 20 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-1*S*R^2*S^-1*R^-3*S*R^-2*S^-1*R*S^-1, R*S^-1*R^-1*S*R^-2*S*R^-2*S^7 ] C169.38 : Type {15,30}_28 Order 840 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S*R^-1*S*R^-1*S^3*R*S^-1*R*S^-2*R*S^-2*R*S^2 ] C169.39 : Type {24,48}_8 Order 768 mV = 6 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-2*R^2*S*R^-1*S^2, S^-3*R^4*S^-5 ] C169.40 : Type {51,102}_14 Order 714 mV = 17 mF = 17 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S^2*R^-1*S, R^2*S^-1*R^17*S^-1*R*S^-5*R^3*S^-1*R^9*S^-5*R*S^-5 ] C169.41 : Type {78,117}_18 Order 702 mV = 39 mF = 13 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S^3*R^3*S^-1*R*S^2, R^2*S^-13*R*S^-1*R^2*S^-2*R^2*S^-1*R^8*S^-2*R^3*S^-2 ] Genus 170 C170.1 : Type {4,6}_12 Order 4056 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-2)^4, R^-1*S^-2*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1 ] C170.2 : Type {6,6}_26 Order 2028 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S ] C170.3 : Type {6,6}_26 Order 2028 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C170.4 : Type {6,6}_338 Order 2028 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-2*S*R^-3*S^-1*R*S^2*R^-2*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S^-1*R^2*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R ] C170.5 : Type {6,42}_182 Order 1092 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^2*R*S^-3*R^-1*S^3*R^-1*S^-4*R*S^2 ] C170.6 : Type {6,42}_182 Order 1092 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^2*S*R^-1*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S^-1*R^2*S^2, R^2*S^-4*R^-1*S*R*S^-1*R^2*S^-1*R^2*S^-7 ] C170.7 : Type {8,8}_26 Order 1352 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^2*S^-1*R^-4*S*R^-2*S^-1*R^2*S ] C170.8 : Type {30,30}_26 Order 780 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, R*S^-2*R*S^-1*R*S^-1*R*S^-2*R^13*S^-3*R*S^-3 ] Genus 171 C171.1 : Type {4,8}_680 Order 2720 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-2*R^-2*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^2*S ] C171.2 : Type {4,8}_680 Order 2720 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C171.3 : Type {4,8}_680 Order 2720 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-2*R^-2*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S ] C171.4 : Type {4,8}_680 Order 2720 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C171.5 : Type {4,12}_510 Order 2040 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^3*R*S^-1*R*S^-1*R ] C171.6 : Type {4,12}_510 Order 2040 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R ] C171.7 : Type {4,24}_408 Order 1632 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^24 ] C171.8 : Type {4,24}_408 Order 1632 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^2*R*S^-1*R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C171.9 : Type {4,44}_374 Order 1496 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S*R*S^-2*R^-1*S^6*R*S^-2*R^2*S^-1*R*S^5*R^-1*S^-2*R*S^3 ] C171.10 : Type {4,72}_360 Order 1440 mV = 18 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^72 ] C171.11 : Type {4,72}_360 Order 1440 mV = 18 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^18*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-5*R*S^9 ] C171.12 : Type {4,140}_70 Order 1400 mV = 35 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^35*R^2*S*R^-1*S^-2*R*S^32 ] C171.13 : Type {8,8}_170 Order 1360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, S^-1*R*S^-2*R^3*S^-1*R*S*R^-1*S^-1 ] C171.14 : Type {8,8}_170 Order 1360 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1 ] C171.15 : Type {8,8}_170 Order 1360 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R ] C171.16 : Type {8,8}_170 Order 1360 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R^2*S^-1*R*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^2*R^2*S^-1*R*S^2*R^2*S^2*R ] C171.17 : Type {8,8}_340 Order 1360 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-1 ] C171.18 : Type {8,8}_340 Order 1360 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R ] C171.19 : Type {8,16}_272 Order 1088 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S*R^2*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-2*S^2*R^-1*S*R^-1*S ] C171.20 : Type {8,16}_272 Order 1088 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R ] C171.21 : Type {8,48}_240 Order 960 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^12*R^4*S^12 ] C171.22 : Type {8,48}_240 Order 960 mV = 12 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^12*R^4*S^12 ] C171.23 : Type {12,12}_170 Order 1020 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-2*S*R^-1*S^2*R^2*S^-1*R*S^-2*R^-2*S*R^-1*S^-1*R*S^2*R^-1*S*R^2*S^2 ] C171.24 : Type {12,12}_170 Order 1020 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1 ] C171.25 : Type {12,16}_240 Order 960 mV = 4 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^16 ] C171.26 : Type {12,16}_240 Order 960 mV = 4 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^-2*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1*S^-1 ] C171.27 : Type {12,84}_70 Order 840 mV = 21 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, R^-1*S*R*S^-6*R^-1*S^5*R^-1*S^-2 ] C171.28 : Type {16,80}_10 Order 800 mV = 20 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^4*R*S^-1*R^2*S^-2*R*S^3, R^16 ] C171.29 : Type {16,80}_20 Order 800 mV = 20 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1, R^-1*S^2*R*S^-2*R^2*S^-6 ] C171.30 : Type {20,40}_40 Order 800 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, S*R^-1*S*R^-3*S*R^-7*S^3*R^-1*S^2 ] C171.31 : Type {20,40}_40 Order 800 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S*R^-1*S*R^-3*S*R^-7*S^3*R^-1*S^2 ] C171.32 : Type {24,24}_34 Order 816 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S^2*R^-2*S, R^-2*S^4*R^-6*S*R^-9*S*R^-1 ] C171.33 : Type {24,24}_34 Order 816 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, R^13*S^-2*R*S^-3*R*S^-1*R^3 ] C171.34 : Type {24,24}_68 Order 816 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S*R^-1*S^2*R^-1*S ] C171.35 : Type {30,75}_50 Order 750 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^5*R^3*S^-3*R*S^2, R^-8*S^2*R^-2*S^3 ] C171.36 : Type {30,75}_50 Order 750 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^3*R*S^-2*R^2*S^-1*R*S^4, R^-8*S*R^-2*S^4 ] C171.37 : Type {44,44}_34 Order 748 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, S*R^-1*S*R^-1*S^3*R^-1*S*R^-7*S*R^-1*S*R^-1*S*R^-1 ] C171.38 : Type {72,72}_10 Order 720 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^-1*R*S^-36*R^4*S^-4*R*S^-3*R^10*S^-1*R*S^-1*R^2*S^-4*R*S^-2 ] C171.39 : Type {72,72}_20 Order 720 mV = 18 mF = 18 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-1*R^2*S^-11*R^10*S^-2*R^4*S^-3*R^2*S^-1 ] C171.40 : Type {140,140}_10 Order 700 mV = 35 mF = 35 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^2*S^-35*R^2*S^-5*R^3*S^-1*R^10*S^-1*R*S^-1*R^2*S^-4*R*S^-2 ] Genus 172 C172.1 : Type {3,12}_114 Order 4104 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^3*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C172.2 : Type {3,18}_114 Order 3078 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2 ] C172.3 : Type {3,24}_228 Order 2736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^-1*R*S^-5*R*S^2, (R*S^-5*R*S^-2)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^3*R^-1*S^-2*R*S ] C172.4 : Type {6,6}_114 Order 2052 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S*R*S^-1*R^-2*S^2*R^2*S^3*R^-1*S^2*R*S^-1 ] C172.5 : Type {6,6}_114 Order 2052 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-1*R^-1*S*R^2*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^2*R^-1*S*R^-1*S^-2*R*S^-1 ] C172.6 : Type {6,6}_114 Order 2052 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R^2*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^3*R^-1*S ] C172.7 : Type {6,12}_228 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12, S^2*R*S^-1*R^-2*S^2*R^-1*S^2*R^-1*S^3*R^-1 ] C172.8 : Type {6,12}_228 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S^-1*R*S ] C172.9 : Type {6,12}_228 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^12, S^-1*R^-1*S*R^-2*S*R^3*S^-1*R^2*S*R^-2*S^-1 ] C172.10 : Type {6,12}_228 Order 1368 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, S^-1*R^2*S^2*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R*S^2*R^2 ] C172.11 : Type {6,30}_190 Order 1140 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1, R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^-2 ] C172.12 : Type {6,30}_190 Order 1140 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-5*R^-1*S*R^-3*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R ] C172.13 : Type {8,9}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, S^9, (R*S)^2, (R*S^-2)^2, R^2*S^-1*R*S^-1*R^-3*S*R^5*S^-1*R^2*S^-1*R ] C172.14 : Type {8,9}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, S^9, (R*S)^2, (R*S^-2)^2, R^3*S^-1*R*S^-1*R^-3*S*R^-3*S*R^-1*S*R^-1*S ] C172.15 : Type {8,9}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, S^9, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-3*S*R^-3*S^-1*R^2*S^-1*R^3*S^2 ] C172.16 : Type {8,28}_56 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^-4*S^-1*R^3*S^-1, S*R*S^-6*R^-3*S^2*R^-2*S^5 ] C172.17 : Type {9,18}_114 Order 1026 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^-1*R^-1*S*R^3*S*R^-2*S^-1 ] C172.18 : Type {9,18}_114 Order 1026 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S*R*S^-1*R^4*S*R^-3*S ] C172.19 : Type {9,18}_114 Order 1026 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^3*R^4*S*R^-1*S^-1*R*S ] C172.20 : Type {9,18}_114 Order 1026 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S^3*R^-1*S*R^-1*S^2*R^-1*S^2 ] C172.21 : Type {12,24}_152 Order 912 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S^-3*R^4*S*R^-2*S^-2, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^-2*R*S ] C172.22 : Type {12,24}_152 Order 912 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R*S^-2*R*S^6, R^-1*S*R^3*S^-1*R*S^-1*R^-3*S^-1*R^2*S^-2 ] C172.23 : Type {18,45}_90 Order 810 mV = 5 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, (R^-4*S^2*R^-3)^2, S^3*R*S^-4*R^2*S^-6*R*S^2 ] C172.24 : Type {21,42}_38 Order 798 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R*S^-2*R*S^-1*R^-2*S^-2*R*S^3*R^-1, R^13*S^-6*R^2 ] Genus 173 C173.1 : Type {6,6}_172 Order 2064 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^2*R^2*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S ] C173.2 : Type {6,15}_430 Order 1290 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-1*S*R^-2*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R^2*S^-1*R*S^-1*R^-1 ] C173.3 : Type {12,12}_86 Order 1032 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^2*R^-1*S ] C173.4 : Type {24,96}_32 Order 768 mV = 24 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-2*R^3*S^5, R*S^-3*R*S^-1*R^2*S^-2*R^6*S^-1*R*S^-2*R*S^-1*R^2 ] C173.5 : Type {32,48}_96 Order 768 mV = 12 mF = 8 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-2*R^-1*S^2*R^-5*S^-1*R*S^5*R^-1*S^-2 ] Genus 174 [None] Genus 175 C175.1 : Type {4,16}_464 Order 1856 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^2*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C175.2 : Type {4,16}_464 Order 1856 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S^-1*R*S^3*R*S^-1*R*S^-1*R*S^-2*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R ] C175.3 : Type {4,28}_406 Order 1624 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R*S^-2*R^-1*S^2*R*S^-2*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C175.4 : Type {12,72}_72 Order 864 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^-1*R^6*S^-1*R*S^-2*R, R*S^-1*R^-1*S^4*R^-2*S^7 ] C175.5 : Type {12,72}_72 Order 864 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^12*R^-2*S^4*R^-1*S^-1*R*S^7 ] C175.6 : Type {16,16}_58 Order 928 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R^-2*S^2*R^2*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2*R*S^-1 ] C175.7 : Type {16,16}_116 Order 928 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R^-2*S^2*R^2*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^2 ] C175.8 : Type {18,24}_18 Order 864 mV = 2 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^-1*S^2*R^2*S^2*R^-1*S, S^-3*R^5*S^3*R^-1*S^-2 ] C175.9 : Type {18,24}_36 Order 864 mV = 2 mF = 6 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R)^2, S^-3*R^5*S^3*R^-1*S^-2 ] C175.10 : Type {28,28}_58 Order 812 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^4*R^-1, S*R^2*S^-1*R^3*S^3*R^-1*S, R^-2*S^2*R^3*S^-2*R*S^2, R^9*S^-1*R^2*S^-2 ] C175.11 : Type {28,28}_58 Order 812 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S^3*R^-2, R^8*S^-1*R^2*S^-1*R*S^-1 ] C175.12 : Type {28,28}_58 Order 812 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, S^-1*R^7*S^-1*R*S^-3*R ] C175.13 : Type {28,28}_58 Order 812 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R ] C175.14 : Type {91,91}_4 Order 728 mV = 13 mF = 13 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^72*R^-1*S*R^-15 ] Genus 176 C176.1 : Type {6,6}_70 Order 2100 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-2*R*S^-2*R*S^-2 ] C176.2 : Type {6,6}_70 Order 2100 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-2*R*S^-3*R*S^-1*R*S^3*R^-2*S^-2*R*S^-2*R^2*S^2*R^2*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S ] C176.3 : Type {6,78}_182 Order 1092 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^13*R^2*S*R^-1*S^-3*R*S^9 ] C176.4 : Type {6,78}_182 Order 1092 mV = 26 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^13*R^2*S*R^-2*S^4*R^-1*S^-1*R*S^7 ] C176.5 : Type {54,54}_14 Order 756 mV = 18 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^-1*R^2*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R^3*S^-1*R^9*S^-2*R*S^-1*R*S^-2*R*S^-2*R ] Genus 177 C177.1 : Type {5,10}_44 Order 1760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-1*R^-2*S^-5*R^2*S*R^-1*S^5*R ] C177.2 : Type {5,10}_44 Order 1760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S^2*R^-2*S^-1 ] C177.3 : Type {8,32}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R*S^-2*R^3*S*R^-1*S*R^-1*S^-1, S*R*S^-3*R^2*S^-3*R*S, S^5*R^-1*S*R^-2*S^-6*R*S^2 ] C177.4 : Type {8,32}_32 Order 1024 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S*R*S^-1*R^2*S^-5 ] C177.5 : Type {8,32}_32 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-1*S^2*R*S^-1*R^3*S*R^-1*S^-4 ] C177.6 : Type {15,15}_4 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S*R^7*S*R^-2*S^3, R^-15 ] C177.7 : Type {20,20}_44 Order 880 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, S*R*S^-1*R^4*S^3*R^-1*S, R^-1*S^4*R^-2*S*R^-11*S ] C177.8 : Type {20,20}_44 Order 880 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^-1*S*R^-1*S^6*R^-9*S*R^-1 ] C177.9 : Type {35,70}_22 Order 770 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-2*R^2*S*R^-1*S^2, S^-1*R^2*S^-2*R^10*S^-2*R*S^-2*R^14*S^-1 ] C177.10 : Type {35,70}_22 Order 770 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, R^-2*S*R^3*S*R^-1*S^-2, S*R^-1*S^14*R^-3*S*R^-1*S*R^-1*S*R^-7*S^4 ] Genus 178 C178.1 : Type {6,180}_180 Order 1080 mV = 60 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^30*R^2*S*R^-1*S^-5*R*S^24 ] C178.2 : Type {12,144}_144 Order 864 mV = 48 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^12*R^2*S^4*R^-1*S^-2*R*S^6 ] C178.3 : Type {42,126}_18 Order 756 mV = 42 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S^3*R^3*S^-1*R*S^2, S^-19*R*S^-1*R*S^-1*R*S^-4*R^10*S^-3*R ] Genus 179 C179.1 : Type {4,8}_712 Order 2848 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S^-1 ] C179.2 : Type {4,8}_712 Order 2848 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^-1 ] C179.3 : Type {4,12}_534 Order 2136 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S^-1*R ] C179.4 : Type {8,8}_178 Order 1424 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R*S^-1*R^-1*S*R*S^-1*R^-2*S^4*R^-1*S^3 ] C179.5 : Type {8,8}_178 Order 1424 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R ] C179.6 : Type {8,8}_356 Order 1424 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R ] C179.7 : Type {12,12}_178 Order 1068 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S*R^-2*S*R^-1*S ] Genus 180 [None] Genus 181 C181.1 : Type {3,16}_24 Order 3456 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-7)^2, S^-2*R^-1*S^5*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1, S*R*S^-3*R*S^-3*R*S^-2*R*S^3*R^-1*S^3*R^-1*S^-2*R*S ] C181.2 : Type {4,6}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-1)^8, R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2 ] C181.3 : Type {4,6}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-1)^8, S*R*S^-1*R^-2*S^-3*R*S^-1*R*S^3*R*S^-2*R^2*S ] C181.4 : Type {4,8}_30 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, S*R^-2*S^-4*R*S^-1*R^-2*S^-1*R*S^4*R^2*S, R^-1*S^2*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S, R^-1*S^-4*R*S^-1*R*S^-1*R*S^4*R^-1*S*R^-1*S ] C181.5 : Type {4,8}_30 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, S^-2*R^-1*S*R^-1*S^2*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S^-2*R ] C181.6 : Type {4,8}_40 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S ] C181.7 : Type {4,8}_40 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-4*R^-1*S*R^2*S^4*R^2*S^-1, (R*S^-2)^4, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S ] C181.8 : Type {4,8}_60 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3*R*S^-1)^2, R^-1*S^2*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S, R^-1*S^-4*R^-2*S^-4*R^2*S^4*R^2*S^4*R^-1 ] C181.9 : Type {4,8}_60 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S*R*S^-1*R^2*S^2*R^2*S^-1*R*S^-1*R*S^-1 ] C181.10 : Type {4,8}_120 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^-1*R*S^-1*R*S^-1 ] C181.11 : Type {4,12}_60 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, S*R*S^-3*R*S^-1*R*S^4*R^-1*S, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2 ] C181.12 : Type {4,12}_60 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, R*S^-3*R^-1*S*R*S^-1*R*S^-2*R*S*R^-1*S^-2, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2 ] C181.13 : Type {4,12}_60 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, R*S^-1*R*S*R^-1*S^3*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R*S^-1 ] C181.14 : Type {4,12}_60 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S ] C181.15 : Type {4,20}_30 Order 1800 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S^-3*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C181.16 : Type {4,24}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^2*R*S^-4*R^-1*S^4*R^-1*S^-1*R*S ] C181.17 : Type {4,24}_24 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^24 ] C181.18 : Type {4,40}_20 Order 1600 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S*R*S^-1*R^-1*S*R*S^-6*R^-1*S*R^3*S^-1*R*S^5*R^-1*S^-2*R*S^2 ] C181.19 : Type {4,40}_40 Order 1600 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^40 ] C181.20 : Type {4,76}_380 Order 1520 mV = 19 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^76 ] C181.21 : Type {4,148}_370 Order 1480 mV = 37 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^37*R^2*S*R^-1*S^-2*R*S^34 ] C181.22 : Type {6,6}_8 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^2*S^-3*R*S^-1*R^3*S^-2*R*S^-1 ] C181.23 : Type {6,6}_8 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S*R^-1*S^-3*R^2*S^-1*R*S*R^-2*S ] C181.24 : Type {6,8}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (S*R^-1*S)^3, S*R*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S ] C181.25 : Type {6,8}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^3*R*S^-1*R^-2*S^-1*R^2*S*R^-1, S^-2*R^-1*S*R^-1*S*R^-3*S^-1*R^2*S^-2*R*S^-1 ] C181.26 : Type {6,8}_12 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S^-1*R*S^-3*R*S^-1*R^-2*S^3*R^-1*S^2*R^-1*S^-2 ] C181.27 : Type {6,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2 ] C181.28 : Type {8,8}_60 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R*S^-1*R^-2*S*R^3*S^-1*R*S*R^-1*S^2 ] C181.29 : Type {8,8}_60 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R*S^-1*R^-2*S*R^3*S^-1*R*S^-2*R*S^-1 ] C181.30 : Type {8,8}_60 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^2*S^-1 ] C181.31 : Type {8,8}_60 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S^2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^2*S^-1 ] C181.32 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, R*S^-4*R^2*S*R^-1*S^-3, S^16 ] C181.33 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3 ] C181.34 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R*S^-1*R^2*S^-3*R*S^-1, S^16 ] C181.35 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S^2*R*S^-2*R^3*S*R^-1*S^-2*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-2*R*S^-1*R*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1 ] C181.36 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R*S^-1*R^2*S^-3*R*S ] C181.37 : Type {8,16}_16 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S^2*R*S^-2*R^3*S*R^-1*S^-2*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-2*R*S^-1*R*S^-1*R^2*S^3*R^-2*S^-1 ] C181.38 : Type {8,16}_16 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S^-1*R*S^-1, S^16 ] C181.39 : Type {8,16}_16 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R^-2*S*R*S^-1*R^3*S^-1*R*S^2*R^-1*S, R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R*S^3 ] C181.40 : Type {8,16}_16 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-1*R^3*S^-1*R^-3*S^-3*R^2*S^-1 ] C181.41 : Type {8,16}_16 Order 1152 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, R^-2*S*R*S^-1*R^-2*S^-1*R^3*S ] C181.42 : Type {8,16}_48 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^3*S^-1*R^-3*S*R^-2*S^-1, S^16 ] C181.43 : Type {8,16}_48 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R*S^-3*R^3*S^-1*R*S*R^-1*S^-1, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3 ] C181.44 : Type {8,16}_48 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-3*R^2*S^2*R^-1*S^2 ] C181.45 : Type {8,16}_48 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-1*R^-4*S^-1*R^3*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C181.46 : Type {8,56}_42 Order 1008 mV = 7 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S^-2*R^-1*S^2*R*S^-3*R*S^5*R^-1*S^-2 ] C181.47 : Type {12,12}_30 Order 1080 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-2*R^3*S*R^-2*S^2 ] C181.48 : Type {12,12}_30 Order 1080 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-2*R^3*S*R^-2*S^2, S*R^-1*S^2*R^3*S^-1*R^2*S^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1 ] C181.49 : Type {12,12}_30 Order 1080 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2*R*S^-1*R)^2, R*S^-1*R*S^-2*R^2*S^-5 ] C181.50 : Type {12,12}_30 Order 1080 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, R^2*S^-1*R^3*S^2*R^-1*S^-1, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1 ] C181.51 : Type {12,12}_30 Order 1080 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1*S*R^-2*S^-2*R*S^-1*R^-1*S*R^-1 ] C181.52 : Type {12,24}_10 Order 960 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-3*R^4*S^-5, R^-1*S*R^-1*S*R^3*S*R^-1*S*R^-1*S, S^-3*R*S^-1*R^2*S^2*R^-1*S^-1*R ] C181.53 : Type {12,24}_20 Order 960 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, R^12, S^-2*R^5*S^-3*R*S^-1, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2 ] C181.54 : Type {12,24}_40 Order 960 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, R^12, S^-2*R^5*S^-3*R*S^-1, S^2*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1 ] C181.55 : Type {16,48}_6 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, S*R^-2*S*R^3*S^-2*R*S^2, R^16 ] C181.56 : Type {16,48}_12 Order 864 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^5*S*R^-1*S^-3, S*R*S^-1*R^4*S*R^-2*S*R^-1 ] C181.57 : Type {20,20}_30 Order 900 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-2*R*S^-1 ] C181.58 : Type {24,24}_12 Order 864 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^5*S^-1*R^2*S^-2, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1 ] C181.59 : Type {24,24}_12 Order 864 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^2*S^-3*R*S^-1*R^10*S^-1*R^3*S^-3 ] C181.60 : Type {40,40}_20 Order 800 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-2*R^6*S^-2*R^2*S^-1*R*S^-5*R^10*S^-1*R*S^-3*R*S^-2*R^3 ] C181.61 : Type {40,40}_20 Order 800 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, R^-3*S^3*R^-1*S*R^-6*S^2*R^-1*S*R^-1*S ] C181.62 : Type {48,96}_32 Order 768 mV = 24 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-2*R^3*S^5, R*S^-1*R*S^-1*R*S^-1*R^10*S^-1*R*S^-2*R*S^-1*R*S^-1 ] C181.63 : Type {76,76}_10 Order 760 mV = 19 mF = 19 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R*S^-43*R^4*S^-5*R^12*S^-1*R*S^-3*R*S^-2*R^3 ] C181.64 : Type {148,148}_10 Order 740 mV = 37 mF = 37 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R*S^-41*R^4*S^-4*R*S^-3*R^9*S^-1*R*S^-3*R*S^-2*R^2*S^-1 ] Genus 182 C182.1 : Type {5,10}_362 Order 1810 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^5*R^-2*S^-1 ] C182.2 : Type {5,10}_362 Order 1810 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S ] C182.3 : Type {6,6}_362 Order 2172 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R^-3*S^2*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R ] Genus 183 C183.1 : Type {3,12}_728 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-3*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1 ] C183.2 : Type {3,12}_728 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^3*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S ] C183.3 : Type {4,32}_416 Order 1664 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^32 ] C183.4 : Type {4,32}_416 Order 1664 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S*R^-1*S^-5*R*S ] C183.5 : Type {4,60}_390 Order 1560 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^15*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S*R^-1*S^-2*R*S^7 ] C183.6 : Type {8,12}_312 Order 1248 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R^-2*S^2*R^-2*S^-1*R*S^2 ] C183.7 : Type {8,12}_312 Order 1248 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S ] C183.8 : Type {8,40}_130 Order 1040 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^-1*S^2*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-1 ] C183.9 : Type {8,40}_260 Order 1040 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-2*R^2*S^-1 ] C183.10 : Type {9,36}_56 Order 1008 mV = 6 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^-5*R^-2*S^-5*R, S^-1*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-2 ] C183.11 : Type {32,32}_26 Order 832 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R*S^-9*R^10*S^-2*R*S^-3*R*S^-1*R*S^-1*R^2 ] C183.12 : Type {32,32}_52 Order 832 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-1*R^6*S^-2*R*S^-1*R*S^-1*R ] C183.13 : Type {60,60}_26 Order 780 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-1*S^2, S*R*S^-1*R^3*S*R^-2*S, R*S^-2*R*S^-5*R^2*S^-1*R^2*S^-1*R*S^-1*R^8*S^-2*R*S^-1*R ] C183.14 : Type {60,60}_26 Order 780 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, S^-2*R^2*S^-1*R*S^-2*R*S^-2*R^8*S^-1*R*S^-3*R*S^-2*R^3 ] Genus 184 C184.1 : Type {3,12}_366 Order 4392 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^-2*R*S^3*R^-1*S^-3*R*S^3*R^-1*S^2*R^-1*S ] C184.2 : Type {6,6}_366 Order 2196 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-3*R*S^-1*R*S^3*R^-1*S^2*R*S^-2*R^-1 ] C184.3 : Type {6,6}_366 Order 2196 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R^2*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C184.4 : Type {6,12}_244 Order 1464 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R*S^-2*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S^-2*R*S^-2 ] C184.5 : Type {6,12}_244 Order 1464 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S*R^-2*S^2*R ] C184.6 : Type {9,18}_122 Order 1098 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S^3*R^-1*S*R^-1*S^-2*R*S^-1*R*S ] C184.7 : Type {10,10}_122 Order 1220 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, R^2*S^-1*R*S^-1*R^3*S*R^-1*S^-2*R*S^-1 ] C184.8 : Type {10,10}_122 Order 1220 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, R*S^-5*R^-2*S^-1*R*S^-4 ] C184.9 : Type {18,48}_144 Order 864 mV = 8 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^-8*R^-2*S^-4*R*S*R^-1*S^-3 ] Genus 185 C185.1 : Type {8,18}_36 Order 1152 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^18 ] C185.2 : Type {14,56}_8 Order 896 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^3*R^4*S^-1*R*S^2*R^-1, S^4*R^3*S^-2*R*S^2, R^14 ] C185.3 : Type {49,98}_4 Order 784 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R*S^-1*R*S^-30*R*S^-1*R^10*S^-1*R*S^-1*R ] Genus 186 [None] Genus 187 C187.1 : Type {3,12}_744 Order 4464 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2 ] C187.2 : Type {6,9}_558 Order 1674 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-2*S*R^-1 ] C187.3 : Type {6,9}_558 Order 1674 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-1*S*R*S^-1*R^-1 ] C187.4 : Type {6,9}_558 Order 1674 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-2*S^2*R*S^-1*R*S^-1*R^-1 ] C187.5 : Type {6,12}_248 Order 1488 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S*R*S^-1*R^-1*S*R*S^-2*R^-1*S^2*R*S^-1*R*S^-2*R*S^-2*R^-2*S^2*R^-1*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C187.6 : Type {6,21}_434 Order 1302 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R^-1*S^-3*R^-1*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R^2*S*R^-1 ] C187.7 : Type {6,189}_378 Order 1134 mV = 63 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-32*R^2*S^-1*R*S^4*R^-1*S^-26 ] C187.8 : Type {15,30}_62 Order 930 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1, S*R^7*S^3*R^-3, R^-15 ] C187.9 : Type {15,30}_62 Order 930 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^4*S^-1*R*S*R^-1*S, S*R*S^-2*R^3*S^5, R^-15 ] C187.10 : Type {15,30}_62 Order 930 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, S*R^7*S*R^-2*S^2*R^-1, R^-15 ] C187.11 : Type {15,30}_62 Order 930 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^-15 ] C187.12 : Type {15,30}_62 Order 930 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S, R^-15 ] C187.13 : Type {15,30}_62 Order 930 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S*R^6*S*R^-4, R^-15 ] C187.14 : Type {15,30}_62 Order 930 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S^3*R^-1*S^2*R^-1*S ] C187.15 : Type {24,36}_18 Order 864 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S*R^2*S^-1*R^4*S*R^-1*S*R^-3, R^-1*S*R^-2*S*R^3*S^-1*R*S*R^-1*S^-2 ] C187.16 : Type {24,36}_36 Order 864 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S*R*S^-1*R^5*S*R^-2*S^3 ] C187.17 : Type {24,36}_72 Order 864 mV = 3 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^5*R*S^-1*R^-3*S^6 ] C187.18 : Type {24,36}_72 Order 864 mV = 6 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, S^2*R*S^-4*R^-2*S^-2*R*S^4 ] C187.19 : Type {30,135}_54 Order 810 mV = 45 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-2*S^2*R^-4*S^7 ] Genus 188 C188.1 : Type {10,45}_198 Order 990 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^-1*R^-1*S^3*R^-2*S^2*R^-1*S^-3 ] C188.2 : Type {10,45}_198 Order 990 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^-3*R^5*S^-1*R*S*R^-1*S^-1*R, R^-1*S^3*R^-4*S*R^-1*S^-5 ] C188.3 : Type {20,40}_88 Order 880 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-4*R^2*S^-1*R*S^-1*R ] C188.4 : Type {20,40}_88 Order 880 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^3*S^-4 ] C188.5 : Type {20,40}_88 Order 880 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S^-1*R^2*S^-1 ] C188.6 : Type {20,40}_88 Order 880 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-2*R^2*S^-3*R, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C188.7 : Type {48,48}_34 Order 816 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, S*R*S^-2*R^2*S*R^-1*S^2, S^4*R^-1*S*R^-9*S*R^-4*S^2*R^-1*S ] C188.8 : Type {48,48}_34 Order 816 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, R^2*S^-1*R*S^-2*R*S^-1*R*S^-1*R^7*S^-3*R^2*S^-1*R ] Genus 189 C189.1 : Type {8,128}_128 Order 1024 mV = 32 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S^16*R^-3*S^-6*R^-1*S^10 ] C189.2 : Type {98,98}_4 Order 784 mV = 14 mF = 14 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^79*R^-1*S*R^-15 ] Genus 190 C190.1 : Type {3,12}_126 Order 4536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C190.2 : Type {3,18}_42 Order 3402 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^18, S^-1*R*S^-2*R*S^-3*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-1 ] C190.3 : Type {3,18}_126 Order 3402 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^18, S^-1*R*S^-3*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-1 ] C190.4 : Type {3,18}_126 Order 3402 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^18, S^-1*R*S^-3*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-3*R*S^3*R^-1*S^2*R^-1*S^-1 ] C190.5 : Type {3,18}_126 Order 3402 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C190.6 : Type {3,24}_84 Order 3024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^-1*R*S^-5*R*S^2, (R*S^-5*R*S^-2)^2, S*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S ] C190.7 : Type {4,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^2*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S^2 ] C190.8 : Type {4,88}_88 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^22*R^2*S^2*R^-1*S^-4*R*S^16 ] C190.9 : Type {6,6}_42 Order 2268 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^3*R*S^-1*R ] C190.10 : Type {6,6}_42 Order 2268 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R*S*R^-1*S^-2*R^-2*S*R^-2*S*R^-3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R*S^2*R*S^-1*R^2 ] C190.11 : Type {6,6}_42 Order 2268 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1, S^-1*R^2*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-2*S^-1*R^2 ] C190.12 : Type {6,6}_126 Order 2268 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, S^-2*R^-1*S*R^2*S^-2*R^-2*S^3*R*S^-2*R^-1*S^2*R ] C190.13 : Type {6,6}_126 Order 2268 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R^-2*S^-2*R*S^-2*R^2*S^2*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C190.14 : Type {6,12}_28 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, (R*S^-1*R)^4, (R*S^-1)^6, S^-3*R^2*S^-1*R^-1*S^2*R^-1*S^-1*R^2*S^-1 ] C190.15 : Type {6,12}_28 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^2*S^-1*R*S^-1*R^2*S^-1*R*S^3, S^-2*R*S^-2*R^2*S^-2*R*S^-2 ] C190.16 : Type {6,12}_84 Order 1512 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^12 ] C190.17 : Type {6,12}_84 Order 1512 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R*S^3*R^-1 ] C190.18 : Type {6,12}_84 Order 1512 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^12, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R ] C190.19 : Type {6,12}_84 Order 1512 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-3*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2 ] C190.20 : Type {6,12}_84 Order 1512 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1 ] C190.21 : Type {6,12}_84 Order 1512 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S^-1*R*S^-1*R^2*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C190.22 : Type {6,24}_12 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (S*R^-1*S)^3, (S^-1*R^2*S^-1)^3, S^2*R^2*S^-1*R^-3*S^-3*R*S^2 ] C190.23 : Type {6,30}_210 Order 1260 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^30 ] C190.24 : Type {6,30}_210 Order 1260 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S ] C190.25 : Type {6,30}_210 Order 1260 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-3*R^2*S^-1*R^-3*S^4*R^-1*S^-2 ] C190.26 : Type {6,30}_210 Order 1260 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^30 ] C190.27 : Type {6,84}_28 Order 1176 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^2*S*R^-1*S^-2, S^14*R^2*S^4*R^-1*S^-1*R*S^9 ] C190.28 : Type {6,84}_28 Order 1176 mV = 28 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^14*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^9 ] C190.29 : Type {8,12}_8 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R^-1*S^2*R^3*S*R^-1*S^2*R^-1, S*R*S^-3*R^2*S^-3*R*S ] C190.30 : Type {8,12}_24 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, (R*S^-1)^6, S^12, S*R*S^-1*R^-1*S*R^-3*S^-1*R^3*S^2 ] C190.31 : Type {9,18}_42 Order 1134 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2 ] C190.32 : Type {9,18}_42 Order 1134 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^-2*R^-3*S^-4, S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^-1*R*S ] C190.33 : Type {9,18}_126 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S*R*S^-1*R*S^-3*R^-1*S^2*R^-1*S*R^-1*S^-2 ] C190.34 : Type {9,18}_126 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S^-2*R^-1*S^2*R^-1*S^2*R^-2*S^-1*R*S^-2*R*S^-1 ] C190.35 : Type {9,18}_126 Order 1134 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S ] C190.36 : Type {12,24}_168 Order 1008 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^-2*R^-1*S^2*R*S^-1*R^-2*S^-7 ] C190.37 : Type {12,24}_168 Order 1008 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S^-3*R^4*S*R^-2*S^-2, S^2*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^2*R^-1*S ] C190.38 : Type {12,24}_168 Order 1008 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, S^-1*R^-2*S*R^3*S^-4*R ] C190.39 : Type {12,24}_168 Order 1008 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R*S^-2*R*S^6, R^-1*S*R*S^-1*R^-1*S*R^-3*S*R^-2*S*R^-2*S ] C190.40 : Type {18,18}_6 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, R^2*S^-1*R*S^-1*R^2*S^-1*R^-5*S^-1*R^2 ] C190.41 : Type {18,18}_18 Order 972 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^3*R^4*S*R^-1*S^-1*R*S, R^-1*S*R^-1*S*R^-2*S*R^-5*S^2*R^-3*S ] C190.42 : Type {18,18}_18 Order 972 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S*R^-2*S^-1*R, S^-3*R^4*S^-2*R^2*S^-1 ] C190.43 : Type {18,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^18 ] C190.44 : Type {18,18}_18 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^4)^2, R^-2*S*R^4*S^-1*R*S^-1*R*S^-1, S^3*R^4*S*R^-1*S^-1*R*S ] C190.45 : Type {18,18}_18 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^-1*S^2*R^3*S^-1*R^-7*S*R^-1*S^-2 ] C190.46 : Type {18,18}_18 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R*S^-1*R^2*S^-1*R^2*S^-1*R*S^3, R^2*S^-1*R*S^-1*R^2*S^-1*R^-5*S^-1*R^2 ] C190.47 : Type {18,63}_14 Order 882 mV = 21 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R^-2*S*R^-3*S^-1*R*S^4 ] C190.48 : Type {21,42}_42 Order 882 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S*R*S^-1*R*S^-3*R^-1*S^2*R^-1*S*R^-1*S^-2, R^14*S^-1*R^2*S^-1*R^3 ] C190.49 : Type {30,60}_28 Order 840 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R^-1*S*R^2*S^-2*R*S, R^-5*S^3*R^-1*S*R^-1*S^3*R^-7*S*R^-3*S^4*R^-1 ] C190.50 : Type {30,60}_28 Order 840 mV = 20 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, R^-2*S*R^3*S^-1*R*S^2, R*S^-1*R^4*S^-1*R*S^-2*R^4*S^-1*R^7*S^-1*R*S^-1*R^3*S^-1*R ] C190.51 : Type {45,90}_18 Order 810 mV = 15 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-1*S^2, S*R*S^-1*R^3*S^2*R^-2, R^-20*S^2*R^-1*S*R^-2*S^2*R^-10*S*R^-1*S*R^-2*S*R^-1 ] C190.52 : Type {57,114}_14 Order 798 mV = 19 mF = 19 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S^2*R^-1*S, R^-2*S^22*R^-3*S^4*R^-1*S^5*R^-11*S*R^-1*S*R^-1*S^2*R^-1*S*R^-1 ] C190.53 : Type {88,88}_6 Order 792 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, R^23*S^-2*R^2*S^-2*R^8*S^-1*R^2*S^-1*R*S^-1*R ] Genus 191 C191.1 : Type {4,80}_80 Order 1600 mV = 20 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^80 ] C191.2 : Type {4,80}_80 Order 1600 mV = 20 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^20*R^2*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^14 ] C191.3 : Type {4,156}_390 Order 1560 mV = 39 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^39*R^2*S*R^-1*S^-2*R*S^36 ] C191.4 : Type {6,33}_418 Order 1254 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^3*S*R^-2*S^5 ] C191.5 : Type {8,28}_280 Order 1120 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^28 ] C191.6 : Type {8,28}_280 Order 1120 mV = 7 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^28 ] C191.7 : Type {8,104}_130 Order 1040 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^13*R*S^-1*R^2*S^-6*R*S^6 ] C191.8 : Type {8,104}_260 Order 1040 mV = 26 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^13*R^2*S*R^-1*S^-2*R*S^10 ] C191.9 : Type {12,48}_80 Order 960 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^3*R*S^-2*R^2*S^-1*R*S^2*R^-2 ] C191.10 : Type {12,48}_80 Order 960 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S*R*S^-7*R*S^8 ] C191.11 : Type {16,24}_240 Order 960 mV = 6 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, R^16, S^2*R*S^-1*R^-1*S^2*R^-5*S^-1*R*S^6 ] C191.12 : Type {16,24}_240 Order 960 mV = 6 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^3*S*R^-2*S^-1*R*S, R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S^6 ] C191.13 : Type {24,24}_38 Order 912 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, R^-1*S*R^2*S^-1*R^2*S^-1*R^-2*S*R^-2*S^-1*R*S, R*S^-3*R^16*S^-3*R ] C191.14 : Type {24,24}_76 Order 912 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S^-1*R^6*S^-5, R^-1*S*R^3*S^-1*R*S^-1*R^-3*S^-1*R*S^2*R^-1 ] C191.15 : Type {28,84}_30 Order 840 mV = 21 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S^-2*R*S^-1*R^5*S^-1*R*S^-1*R*S^-1*R*S^-1*R^10*S^-1*R ] C191.16 : Type {80,80}_10 Order 800 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-43*S^5*R^-1*S^2*R^-1*S^3*R^-1*S*R^-10*S^8*R^-3 ] C191.17 : Type {80,80}_20 Order 800 mV = 20 mF = 20 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-1*R*S^-9*R*S^-5*R^12*S^-1*R*S^-3*R*S^-2*R^2*S^-1 ] C191.18 : Type {156,156}_10 Order 780 mV = 39 mF = 39 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R*S^-46*R*S^-9*R^10*S^-1*R*S^-3*R*S^-2*R*S^-2 ] Genus 192 C192.1 : Type {5,10}_382 Order 1910 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^-1*S^3*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C192.2 : Type {5,10}_382 Order 1910 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^2*S^-1*R^2*S^-2*R^-1*S*R^2*S^5*R^-1*S ] Genus 193 C193.1 : Type {4,6}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^3*R^-1 ] C193.2 : Type {4,12}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, S^12, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3 ] C193.3 : Type {4,12}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S^12, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^3, S^-2*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-2 ] C193.4 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, S^3*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^2 ] C193.5 : Type {4,16}_8 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^-1, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S ] C193.6 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1, S*R*S^-3*R*S^-1*R*S^4*R^-1*S, S^16 ] C193.7 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^-1, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3, S^16 ] C193.8 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R*S^-3*R*S^-1*R*S^4*R^-1*S, S*R^-1*S*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C193.9 : Type {4,16}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S^3*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^2, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3 ] C193.10 : Type {5,10}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-4)^2, (R*S^-1)^6, R^-1*S^2*R*S^-2*R^-2*S^-1*R*S^-1*R^2*S^-2 ] C193.11 : Type {5,10}_24 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-4)^2, (R*S^-1)^6, S^-1*R^-1*S*R^2*S^-1*R^2*S^-1*R*S^-2*R*S^-1 ] C193.12 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^6, S^-2*R^-2*S*R*S^-1*R^-2*S^-1*R^2*S^3*R, S*R*S^-1*R^-2*S*R^3*S^3*R^-1*S*R^-1*S ] C193.13 : Type {6,6}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^4, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1 ] C193.14 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R ] C193.15 : Type {6,6}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-1)^6, R*S^-3*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2 ] C193.16 : Type {6,6}_48 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R^2*S^-2*R*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S^3*R^-1*S^2*R*S^-2*R^-1 ] C193.17 : Type {6,6}_48 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, S*R^2*S^-2*R^-2*S^3*R^-1*S*R^-1*S, S^-1*R^-2*S^2*R*S^-1*R^2*S^3*R^-2*S^3*R ] C193.18 : Type {6,6}_48 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-2*S^-1 ] C193.19 : Type {6,12}_4 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, (R*S^-1*R*S^-2*R)^2, (R*S^-1)^6 ] C193.20 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^12, S*R^-1*S^4*R^2*S^-1*R*S^4 ] C193.21 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^-3*S^-1*R^2*S^2, (R*S^-1*R*S^-2*R)^2, (R*S^-1)^6 ] C193.22 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-1*R^-2*S*R^3*S*R^-2*S^-1, (R*S^-1*R*S^-2*R)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^12 ] C193.23 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-1)^6, S^12, R*S^-2*R*S^-1*R^-2*S*R^-1*S^-1*R^2*S^-1*R, R*S^-1*R^2*S^-1*R^-3*S*R^-1*S*R^-1*S^-2 ] C193.24 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^-3*S^-1*R^2*S^2, (R*S^-2*R*S^-1*R)^2, (R*S^-4*R)^2 ] C193.25 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^-3*S^-1*R^2*S^2, (R*S^-1*R)^4, (R*S^-1)^6, (R*S^-2)^4 ] C193.26 : Type {6,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^-3*S^-2*R*S^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2 ] C193.27 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^-3*S^-1*R^2*S^2, (R*S^-1)^6, (R*S^-5)^2, S^12 ] C193.28 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^-3*S^-1*R^2*S^2, (S^-1*R^2*S^-1)^3 ] C193.29 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R*S^-2*R^-3*S^-1*R^2*S^-2, (S^-1*R^2*S^-1)^3 ] C193.30 : Type {6,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R*S^-2*R^-3*S^-1*R^2*S^-2, R*S^-1*R^2*S^-1*R^-3*S*R^-1*S*R^-1*S^-2 ] C193.31 : Type {6,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^12, S^-1*R*S^-2*R^-1*S*R^2*S^2*R^-1*S*R^-1*S^-1, S*R^-1*S^4*R^2*S^-1*R*S^4 ] C193.32 : Type {6,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^12, S^2*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^2*R^-1, S*R^-1*S^4*R^2*S^-1*R*S^4 ] C193.33 : Type {6,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^12, S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^2*R^-1*S, S*R^-1*S^4*R^2*S^-1*R*S^4 ] C193.34 : Type {6,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^12, S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^2*R^-1*S, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1 ] C193.35 : Type {6,12}_16 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R^-1*S^2*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S^-2*R*S^-2 ] C193.36 : Type {6,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, (R*S^-5)^2, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1 ] C193.37 : Type {6,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^12, R^2*S^-1*R^2*S^-1*R^2*S^-1*R*S^2*R^-1*S ] C193.38 : Type {6,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-1*R*S^-2, S^-1*R^-2*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R ] C193.39 : Type {6,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-2*R*S^-2*R*S^-1*R^-2*S*R^-1*S^3*R^-1*S^-1 ] C193.40 : Type {6,12}_16 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-5)^2, S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^2*R^-1*S ] C193.41 : Type {6,15}_30 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-1*R^-2*S*R^3*S*R^-2*S^-1, S^-2*R^2*S^-1*R^2*S^2*R^-1*S^-1*R, S^-15 ] C193.42 : Type {12,12}_12 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, R^12, S^-1*R^6*S^-5, R*S^-3*R^3*S^-1*R^2*S^-2 ] C193.43 : Type {12,12}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, R^-1*S*R^5*S*R^-1*S*R^-1*S, S^-1*R^-2*S*R^3*S^-2*R*S^-2 ] C193.44 : Type {12,12}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^-2*R*S*R^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S^-1 ] C193.45 : Type {12,12}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S^-1 ] C193.46 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^16 ] C193.47 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R*S^-1*R^5*S*R^-1*S^-2*R, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-2*R^3*S^-1*R*S^-1*R*S ] C193.48 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, S*R*S^-1*R^3*S*R^-2*S, S*R*S^-2*R^2*S*R^-1*S^2 ] C193.49 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, R*S^-1*R^5*S*R^-1*S^-2*R, S*R^2*S^-1*R^3*S^2*R^-1*S^2 ] C193.50 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^16 ] C193.51 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^16 ] C193.52 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R*S^-1*R^4*S^2*R^-3, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3 ] C193.53 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R^5*S^-1*R^2*S^-2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, R*S^-3*R^3*S*R^-1*S^-1*R*S^-1 ] C193.54 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, R^-1*S*R^5*S^-1*R^2*S^-2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2 ] C193.55 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, S*R*S^-2*R^2*S*R^-1*S^2, R*S^-1*R^5*S*R^-1*S^-2*R ] C193.56 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, R*S^-2*R^4*S*R^-1*S^-1*R^2, S^2*R^6*S^-1*R*S^-2*R*S ] C193.57 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, R*S^-1*R^5*S*R^-1*S^-2*R, R*S^-3*R^3*S*R^-1*S^-1*R*S^-1 ] C193.58 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R*S^-1*R^4*S^2*R^-3, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3 ] C193.59 : Type {16,16}_8 Order 1024 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R^5*S^-1*R^2*S^-2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, S*R*S^-2*R^3*S^2*R^-1*S*R^-1 ] C193.60 : Type {16,16}_8 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3 ] C193.61 : Type {16,16}_8 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S^2*R^-1*S*R^2*S^-2*R*S, S^-2*R^-2*S*R^3*S^-5*R ] C193.62 : Type {16,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S*R*S^-3*R*S^4, R^16 ] C193.63 : Type {16,16}_8 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^-1*S*R^5*S^-1*R^2*S^-2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2 ] C193.64 : Type {16,16}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, R^16 ] C193.65 : Type {16,16}_16 Order 1024 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R*S^-2*R^3*S*R^-1*S^-2*R ] C193.66 : Type {16,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^-2*S*R^3*S^2*R^-1*S, S^16 ] C193.67 : Type {16,16}_16 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R*S^-2*R^4*S*R^-1*S^-1*R^2, R*S^-1*R^6*S*R^-2*S^-1*R*S^-1, R^-1*S^2*R*S^-1*R^3*S*R^-1*S^-4 ] C193.68 : Type {16,112}_56 Order 896 mV = 28 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^14*R^2*S*R^-2*S^13 ] C193.69 : Type {24,72}_36 Order 864 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^2*R*S^-4*R^-2*S^-2*R*S^4, R*S^-1*R^2*S^-1*R^15*S^-2*R^2 ] C193.70 : Type {24,72}_36 Order 864 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, R^-1*S^6*R^-2*S^4*R^-1*S^-2 ] C193.71 : Type {28,28}_4 Order 896 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^3*R^-2, R^4*S^-1*R^10*S^-1*R^10*S^-2 ] Genus 194 C194.1 : Type {6,6}_386 Order 2316 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2*R*S^-1*R^-2*S^-2*R*S^-3*R*S^-1*R*S^3*R^-2*S^-2*R*S^-2*R^2*S^2*R^2*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S ] C194.2 : Type {8,8}_386 Order 1544 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^2*R*S^-1*R^-1*S*R^-3*S*R^-1*S^3*R^-1*S ] Genus 195 C195.1 : Type {3,12}_776 Order 4656 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^3*R^-1*S^2*R^-1*S ] C195.2 : Type {4,8}_776 Order 3104 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C195.3 : Type {4,8}_776 Order 3104 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C195.4 : Type {4,12}_582 Order 2328 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R^2*S^2*R*S^-1*R ] C195.5 : Type {8,8}_194 Order 1552 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^2*S^-1*R^-2*S*R^3*S*R^-1*S^-1*R*S*R^-1*S ] C195.6 : Type {8,8}_194 Order 1552 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^2*S^2*R*S^-1*R ] C195.7 : Type {8,8}_388 Order 1552 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^-1*R ] C195.8 : Type {12,12}_194 Order 1164 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, S^3*R^-3*S*R^-4*S^-1*R*S^3 ] C195.9 : Type {12,12}_194 Order 1164 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-2*S^-2*R*S^-1*R^2*S*R^-1 ] Genus 196 C196.1 : Type {6,18}_234 Order 1404 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, R*S^-3*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C196.2 : Type {6,18}_234 Order 1404 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S, R*S^-3*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C196.3 : Type {6,18}_234 Order 1404 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, R*S^-3*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2, S^18 ] C196.4 : Type {6,18}_234 Order 1404 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^-2*S*R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S*R^-2*S^-1*R, S^18 ] C196.5 : Type {6,18}_234 Order 1404 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R ] C196.6 : Type {6,18}_234 Order 1404 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^2*S^2*R*S^-1*R^-2*S*R^2*S^-1*R^3*S^-1*R^2*S*R^-1*S^-1*R*S^2 ] C196.7 : Type {6,48}_208 Order 1248 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^-1*R*S^2*R*S^-1*R^-1*S^2*R*S^-3*R^2*S^-7 ] C196.8 : Type {6,48}_208 Order 1248 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S^-2*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R^2*S, S^-1*R^-1*S*R*S^-4*R^-1*S*R^-3*S^-1*R*S*R^-1*S^-7 ] C196.9 : Type {6,198}_198 Order 1188 mV = 66 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^33*R^3*S^-1*R*S^32 ] C196.10 : Type {10,100}_100 Order 1000 mV = 20 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R*S^-1*R^4*S^-1*R*S^-2, S^10*R^2*S^3*R^-2*S^7 ] C196.11 : Type {10,100}_100 Order 1000 mV = 20 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^10, R*S^-1*R^4*S^-1*R*S^-2, S^10*R*S^-3*R*S*R^-1*S^-1*R*S^5 ] C196.12 : Type {18,36}_52 Order 936 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R^7*S*R^-5, R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^-3, R^-1*S^2*R^-8*S*R^-4*S*R^-1 ] C196.13 : Type {18,36}_52 Order 936 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S^-1*R^-1*S*R*S^-1*R^3*S*R^-1*S*R^-2*S^-1, R^-18 ] C196.14 : Type {33,66}_26 Order 858 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R*S^-1*R*S^2*R^-1*S^2, R^-2*S^7*R^-2*S*R^-15*S*R^-2*S*R^-2 ] C196.15 : Type {36,48}_144 Order 864 mV = 8 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, S^-3*R^5*S^3*R^-1*S^-2 ] Genus 197 C197.1 : Type {4,6}_12 Order 4704 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-2)^4, R^-1*S^-2*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S, S*R^-2*S^-3*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^3*R^2*S^-1*R*S*R^-1*S ] C197.2 : Type {4,12}_12 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, (R*S^-5)^2, S^12, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1 ] C197.3 : Type {6,6}_28 Order 2352 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-1*S*R^-1*S^2 ] C197.4 : Type {6,6}_28 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-1*S*R^-1*S^2 ] C197.5 : Type {6,6}_196 Order 2352 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R^2*S*R^-1*S^2*R^-1*S^3*R^-2*S^-1*R*S^3*R^-1*S ] C197.6 : Type {6,15}_490 Order 1470 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, S*R^-2*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C197.7 : Type {6,24}_28 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S^4, S^-1*R*S^-1*R^-1*S*R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^-2 ] C197.8 : Type {6,24}_28 Order 1344 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S^4*R*S^-2*R*S^6, R^-1*S*R*S^-1*R^-1*S*R^-2*S*R^3*S*R^-2*S*R^-2*S^-2 ] C197.9 : Type {6,24}_56 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C197.10 : Type {6,24}_56 Order 1344 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S^-2*R^2*S^-1*R^2*S^-1*R^-3*S*R^-1*S^-1*R*S*R^-2*S ] C197.11 : Type {6,87}_406 Order 1218 mV = 29 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-15*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-10 ] C197.12 : Type {12,12}_14 Order 1176 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1 ] C197.13 : Type {12,12}_14 Order 1176 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-2*R*S^-1*R^3*S^-1*R*S^-1*R*S^-1 ] C197.14 : Type {12,12}_14 Order 1176 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^2*S^2*R^-2*S^-1 ] C197.15 : Type {12,12}_98 Order 1176 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C197.16 : Type {18,18}_28 Order 1008 mV = 3 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S^5*R^-9*S*R^-2, S*R^-1*S*R^-1*S^3*R*S^-1*R*S^-2*R*S^-2*R*S^2 ] C197.17 : Type {60,60}_14 Order 840 mV = 10 mF = 20 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S^2*R^-1*S, S^34*R^-1*S^5*R^-11*S*R^-1*S*R^-2*S^2*R^-1*S ] Genus 198 [None] Genus 199 C199.1 : Type {4,48}_48 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^48 ] C199.2 : Type {4,48}_48 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^12*R^2*S*R^-1*S^-3*R*S^8 ] C199.3 : Type {6,36}_18 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, S^-2*R^-1*S^2*R^2*S^-1*R*S^-3, S^4*R*S^-1*R^2*S^2*R^-1*S^3 ] C199.4 : Type {8,32}_32 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, S^-3*R^-1*S*R^2*S^-4*R, S^-2*R^-1*S^6*R^-2*S^5*R^-1*S^-1*R*S*R^-1*S^-1 ] C199.5 : Type {8,32}_32 Order 1152 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^-1*R*S^-3*R^2*S^-1*R*S^-3, S^-1*R^-1*S*R*S^-1*R^-1*S^10*R^-1*S^-3 ] C199.6 : Type {15,30}_66 Order 990 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, S*R^7*S^2*R^-1*S^3, R^-15 ] C199.7 : Type {15,30}_66 Order 990 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S*R^7*S^2*R^-2*S*R^-1, R^-15 ] C199.8 : Type {40,40}_22 Order 880 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-2*R^2*S*R^-1*S^2, S^18*R^-1*S*R^-1*S^3*R^-11*S*R^-2*S*R^-1 ] C199.9 : Type {40,40}_22 Order 880 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S*R^-1*S*R^-1, R^2*S^-2*R^14*S^-3*R^15*S^-3*R ] C199.10 : Type {40,40}_44 Order 880 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, S*R*S^-1*R^4*S^3*R^-1*S, R^-1*S^4*R^-2*S*R^-6*S*R^-5 ] C199.11 : Type {40,40}_44 Order 880 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, R^-2*S*R^4*S*R^-1*S^-1*R*S, R*S^-1*R^2*S^-3*R^6*S^-2*R*S^-4 ] C199.12 : Type {48,48}_6 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, R^-1*S^2*R^-1*S^21*R^-1*S^6*R^-12*S^3*R^-1 ] C199.13 : Type {48,48}_12 Order 864 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^2*S^-2*R*S^-1*R^13*S^-1*R*S^-1*R*S^-1 ] Genus 200 C200.1 : Type {6,6}_398 Order 2388 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^2*R^2*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1 ] Genus 201 C201.1 : Type {3,12}_8 Order 4800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-2)^4, S*R*S^-2*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^2, S*R*S^-2*R*S^-6*R^-1*S^2*R^2*S^-3*R*S^6*R^-1*S^2 ] C201.2 : Type {4,8}_8 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-1)^4, 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*R^-1*S^-4*R*S^-1*R*S^2*R^-1*S^4*R*S^-1 ] C201.3 : Type {4,8}_10 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C201.4 : Type {4,8}_20 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (S^-1*R)^5, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S ] C201.5 : Type {4,8}_20 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^2*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1 ] C201.6 : Type {4,8}_50 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2 ] C201.7 : Type {4,8}_100 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1 ] C201.8 : Type {4,8}_100 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, R*S^-2*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^3 ] C201.9 : Type {4,8}_100 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, R*S^-2*R*S^-1*R*S^-1*R^-2*S^2*R^-1*S*R^-1*S^-2 ] C201.10 : Type {4,8}_200 Order 3200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1 ] C201.11 : Type {4,8}_200 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^-1 ] C201.12 : Type {4,8}_200 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^-1 ] C201.13 : Type {4,12}_6 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1, (R*S^-2)^4, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S^3*R^-1*S^-3 ] C201.14 : Type {4,12}_10 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, S^12, S^-1*R*S^-3*R^-1*S*R^2*S^-1*R*S*R^-1*S^-3 ] C201.15 : Type {4,12}_12 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1, R*S^-4*R^-1*S*R^2*S^-1*R*S*R^-1*S^-3 ] C201.16 : Type {4,12}_150 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1 ] C201.17 : Type {4,12}_300 Order 2400 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1 ] C201.18 : Type {4,20}_20 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, (R*S^-1)^10 ] C201.19 : Type {4,20}_20 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^20 ] C201.20 : Type {4,20}_100 Order 2000 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2, S^20 ] C201.21 : Type {4,24}_30 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, R*S^-5*R*S^-1*R*S^-4*R*S^-2 ] C201.22 : Type {4,24}_60 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-2*R^-1*S*R*S^-3*R^-1*S^4*R^-1*S^-2 ] C201.23 : Type {4,24}_60 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-2*R, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-2*R^-1*S*R*S^-3*R^-1*S^4*R^-1*S^-2 ] C201.24 : Type {4,24}_60 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, R*S^-2*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^2 ] C201.25 : Type {4,24}_120 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^24 ] C201.26 : Type {4,24}_120 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-2*R^-1*S^5*R^2*S*R^-1*S^-1*R*S^2*R^-1*S^-1 ] C201.27 : Type {4,24}_120 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, R*S^-2*R^-1*S^2*R*S^-1*R^-1*S*R^2*S*R^-1*S^-2*R*S^3 ] C201.28 : Type {4,24}_120 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S^24 ] C201.29 : Type {4,24}_120 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S^-3*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C201.30 : Type {4,36}_18 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R^-1*S^2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S*R^-1*S*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^3, S^2*R*S^-1*R^-1*S^5*R*S^-1*R^-1*S*R^-1*S^-5*R*S^3 ] C201.31 : Type {4,36}_450 Order 1800 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2, S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S^-6 ] C201.32 : Type {4,44}_220 Order 1760 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^44 ] C201.33 : Type {4,84}_420 Order 1680 mV = 21 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^84 ] C201.34 : Type {4,164}_410 Order 1640 mV = 41 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^41*R*S^-1*R*S*R^-1*S^-1*R*S^38 ] C201.35 : Type {8,8}_4 Order 1600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, (R*S^-1)^4, S*R^-2*S^2*R^4*S^4*R^-2*S ] C201.36 : Type {8,8}_8 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-4*S^-1*R^3*S^-1*R, R*S^-4*R^-3*S^-1*R^2*S^-3 ] C201.37 : Type {8,8}_8 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S*R^-2*S^-1*R, R^-1*S*R*S^-1*R^-2*S*R^4*S*R^-3*S^-1*R*S^-1 ] C201.38 : Type {8,8}_8 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S*R^-2*S^2*R^-1*S^-1, R*S^-1*R^-1*S*R^-2*S*R^4*S^-1*R*S*R^-3*S^-1 ] C201.39 : Type {8,8}_10 Order 1600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (S^-1*R)^5, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-3*S*R^3*S^4*R^-2 ] C201.40 : Type {8,8}_20 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^-1*R^-1*S*R*S^-1*R^4*S^4*R^-2*S^-1 ] C201.41 : Type {8,8}_40 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-2*S*R^-4*S^-1*R^3*S^-1*R ] C201.42 : Type {8,8}_50 Order 1600 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^4*R, S*R^-3*S*R^3*S^4*R^-2, (R*S^-1*R)^4, R^-1*S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^2 ] C201.43 : Type {8,8}_100 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C201.44 : Type {8,8}_200 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-2*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^2*R^-1*S ] C201.45 : Type {8,8}_200 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C201.46 : Type {8,8}_200 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-2*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C201.47 : Type {8,8}_200 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-2*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2 ] C201.48 : Type {8,16}_20 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R*S^-3*R^2*S^-3*R*S, R*S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S*R^-1*S^2 ] C201.49 : Type {8,16}_40 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R*S^-3*R^2*S^-3*R*S, R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S*R^-1*S^2 ] C201.50 : Type {8,16}_40 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R*S^-3*R^2*S^-3*R*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C201.51 : Type {8,16}_40 Order 1280 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R*S^-3*R^2*S^-3*R*S, R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-2*R*S^-1 ] C201.52 : Type {8,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-2*S*R^-1*S^2*R^-2*S^-2*R*S^-1*R*S^-1 ] C201.53 : Type {8,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1 ] C201.54 : Type {8,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^3*S^-1*R^3*S^6, S^2*R^2*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1 ] C201.55 : Type {8,16}_80 Order 1280 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^3*S^-1*R^3*S^6, R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^2*R^-2*S^-2 ] C201.56 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-2*R*S^2*R^-1*S^-2 ] C201.57 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1, S^16 ] C201.58 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R^2*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1, S^16 ] C201.59 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-2*R*S^-1*R*S^-1*R^2*S^-2*R*S^2*R^-1*S^-2 ] C201.60 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S*R^-1*S*R^2*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-2 ] C201.61 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, S*R*S^-3*R*S^4, R^-2*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R*S^2 ] C201.62 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-2*R^2*S^-1*R*S^2*R^-2*S^-1*R*S^2 ] C201.63 : Type {8,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, S*R*S^-3*R*S^4, R^2*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R*S^2 ] C201.64 : Type {8,24}_6 Order 1200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S*R*S^-1*R^2*S^-2*R^2*S^-1, S^3*R^-1*S*R^2*S^-3*R*S ] C201.65 : Type {8,24}_12 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R^-1*S^3*R^3*S^-1*R^2*S^-2, (S^-1*R^2*S^-1)^3 ] C201.66 : Type {8,24}_12 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-2*R^-1*S*R^3*S^-1*R*S*R^-1*S^-1 ] C201.67 : Type {8,24}_12 Order 1200 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1, S^-1*R^-1*S^3*R^2*S^-1*R*S^-3 ] C201.68 : Type {8,24}_12 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R*S^-2*R^4*S^-4*R ] C201.69 : Type {8,24}_30 Order 1200 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^3*R*S^-1*R^-2*S^-1*R^3*S ] C201.70 : Type {8,24}_150 Order 1200 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-4*R^2*S^-1*R^-1*S^7, R^-1*S*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C201.71 : Type {8,24}_300 Order 1200 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-4*R^2*S^-1*R^-1*S^7, R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S^2*R^-1*S^-2*R*S^2 ] C201.72 : Type {8,56}_140 Order 1120 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^14*R^-3*S^-7*R*S^7 ] C201.73 : Type {8,56}_140 Order 1120 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^14*R^-3*S^-7*R*S^7 ] C201.74 : Type {12,12}_20 Order 1200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, R*S^-3*R^4*S*R^-1*S^-1*R*S^2 ] C201.75 : Type {12,12}_20 Order 1200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^-5, (R*S^-2*R^3)^2 ] C201.76 : Type {12,12}_30 Order 1200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^5, R^12, R*S^-2*R^4*S*R^-2*S^-2 ] C201.77 : Type {12,12}_100 Order 1200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^2*R^-1*S ] C201.78 : Type {12,12}_100 Order 1200 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-2*R^-2*S*R^-1*S^2*R^2*S^-1*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S*R*S^-1*R^2 ] C201.79 : Type {16,48}_60 Order 960 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^-2*R^-1*S^3*R*S^-1*R^-1*S^2*R^-1*S^-4, R^16 ] C201.80 : Type {16,48}_60 Order 960 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S^-2*R^-1*S^3*R*S^-1*R^-1*S^2*R^-1*S^-4 ] C201.81 : Type {16,48}_120 Order 960 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, R*S^-1*R^-1*S^3*R*S^-1*R^-1*S^7 ] C201.82 : Type {16,48}_120 Order 960 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R*S^-1*R^-1*S^3*R*S^-1*R^-1*S^7 ] C201.83 : Type {20,20}_10 Order 1000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-2*R^3*S*R^-2*S^2, R^-2*S^2*R^3*S*R^-1*S^-3, R*S^-3*R^9*S^-2*R^4*S^-1 ] C201.84 : Type {20,20}_10 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, S*R^7*S*R^-2*S^2*R^-1, R^2*S^-2*R*S^-1*R^7*S^-1*R^2*S^-2*R^2 ] C201.85 : Type {20,20}_10 Order 1000 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, R^-1*S^4*R^-6*S^2*R^-2*S^2*R^-1*S^-2 ] C201.86 : Type {20,20}_50 Order 1000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, S*R^-1*S*R^4*S^-1*R*S^3, R*S^-6*R^5*S^-1*R^2*S^-1*R^2*S^-2 ] C201.87 : Type {20,20}_50 Order 1000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S*R^-1*S*R^4*S^-1*R*S^3, (R^6*S^-2*R^2)^2 ] C201.88 : Type {20,20}_50 Order 1000 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S, R*S^-1*R^12*S^-2*R*S^-3 ] C201.89 : Type {24,24}_10 Order 960 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^-2*S*R^3*S^-2*R*S^2, (R*S^-1*R)^4, S^-3*R^5*S^2*R^-2*S^-2 ] C201.90 : Type {24,24}_20 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-1*R^4*S*R^-1*S^3, R^-2*S^2*R^3*S*R^-1*S^-3, R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R^6*S^-3*R^4*S^-1*R ] C201.91 : Type {24,24}_20 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-2*R^5*S^-1*R*S^-1*R^2, S*R*S^-1*R^4*S*R^-1*S^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C201.92 : Type {24,24}_20 Order 960 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, R*S^-4*R^15*S^-4 ] C201.93 : Type {24,24}_40 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1 ] C201.94 : Type {24,24}_40 Order 960 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^5*S^-1*R*S^-1*R^2 ] C201.95 : Type {24,24}_40 Order 960 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S^2*R^-1*S*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1 ] C201.96 : Type {24,24}_40 Order 960 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1 ] C201.97 : Type {24,24}_40 Order 960 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^2*S^-2*R^2*S^-1*R*S^-1*R*S^-1 ] C201.98 : Type {24,24}_40 Order 960 mV = 6 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^2*R^-17*S^3*R^-1*S ] C201.99 : Type {28,56}_8 Order 896 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^3*R^4*S^-1*R*S^2*R^-1, S^4*R^3*S^-2*R*S^2, R^8*S^-3*R^2*S^-1 ] C201.100 : Type {36,36}_10 Order 900 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, S*R^-2*S*R^3*S^-2*R*S^2, R^-1*S*R^-1*S*R^3*S*R^-1*S^-3, S^4*R^-1*S*R^-7*S*R^-1*S*R^-2 ] C201.101 : Type {36,36}_50 Order 900 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R, R^-2*S^2*R^-6*S*R^-1*S*R^-1*S^2*R^-1*S ] C201.102 : Type {44,44}_20 Order 880 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-2*S^8*R^-3*S^8*R^-12*S^7*R^-1*S^3 ] C201.103 : Type {84,84}_10 Order 840 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-47*S^5*R^-1*S*R^-3*S*R^-13*S^8*R^-3 ] C201.104 : Type {164,164}_10 Order 820 mV = 41 mF = 41 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-45*S^5*R^-1*S*R^-3*S*R^-13*S^8*R^-3 ] Genus 202 C202.1 : Type {3,12}_402 Order 4824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^3*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C202.2 : Type {6,6}_402 Order 2412 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S*R^-1*S^-3*R^-1*S ] C202.3 : Type {6,6}_402 Order 2412 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^3*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2 ] C202.4 : Type {6,12}_268 Order 1608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^2*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^-1 ] C202.5 : Type {6,12}_268 Order 1608 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S^-1*R*S*R^-1*S^-2*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-1*S*R^-2 ] C202.6 : Type {9,18}_134 Order 1206 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R^-2*S^-1*R*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] Genus 203 C203.1 : Type {4,8}_808 Order 3232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C203.2 : Type {4,8}_808 Order 3232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C203.3 : Type {4,12}_606 Order 2424 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S*R^-1*S*R*S^-1*R^-2*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^-1 ] C203.4 : Type {8,8}_202 Order 1616 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-2*R^2*S^2*R ] C203.5 : Type {8,8}_404 Order 1616 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^2*S^2*R ] C203.6 : Type {12,12}_202 Order 1212 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C203.7 : Type {105,105}_4 Order 840 mV = 15 mF = 15 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^84*R^-1*S*R^-13*S*R^-3 ] Genus 204 [None] Genus 205 C205.1 : Type {4,12}_68 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^12, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C205.2 : Type {4,16}_272 Order 2176 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S*R^-1 ] C205.3 : Type {4,16}_272 Order 2176 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S^-1*R*S^3*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R ] C205.4 : Type {4,28}_476 Order 1904 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^28 ] C205.5 : Type {4,52}_442 Order 1768 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^13*R^-3*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^6 ] C205.6 : Type {6,54}_108 Order 1296 mV = 18 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R^2*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S^-2, S*R*S^-7*R^-1*S*R^3*S^-1*R^2*S^-1*R*S^7 ] C205.7 : Type {6,207}_414 Order 1242 mV = 69 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-35*R^2*S^-6*R*S*R^-1*S^-27 ] C205.8 : Type {12,12}_102 Order 1224 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^12, S^2*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-2*R^2*S*R^-1 ] C205.9 : Type {12,12}_102 Order 1224 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^12, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2 ] C205.10 : Type {16,16}_68 Order 1088 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^2*R^-1*S^2*R^2*S^-3*R*S, R^16 ] C205.11 : Type {16,16}_68 Order 1088 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-2*S^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1, R^16 ] C205.12 : Type {16,16}_68 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R^2*S^-1*R^3*S^-3*R*S ] C205.13 : Type {16,16}_68 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R^2*S^-1*R^3*S^4*R^-1, R^16 ] C205.14 : Type {16,16}_68 Order 1088 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^-1*R*S^2*R^-1*S*R^2*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C205.15 : Type {16,16}_68 Order 1088 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S*R^-2*S^2*R^-1*S*R^2*S^-2*R^-2*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1 ] C205.16 : Type {16,16}_136 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, S*R^2*S^-1*R^3*S^-3*R*S ] C205.17 : Type {16,16}_136 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, S*R^2*S^-1*R^3*S^4*R^-1 ] C205.18 : Type {16,16}_136 Order 1088 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, S^-1*R*S^-2*R^-1*S*R^2*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R ] C205.19 : Type {28,28}_34 Order 952 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, R^-1*S*R^-3*S*R^-1*S*R^-11*S^9 ] C205.20 : Type {48,144}_18 Order 864 mV = 48 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S^3*R^3*S^-1*R*S^2, S^2*R^-1*S*R^-1*S^22*R^-2*S^2*R^-11*S*R^-5 ] C205.21 : Type {48,144}_36 Order 864 mV = 48 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^2*R*S^-4*R^-2*S^-2*R*S^4, R*S^-2*R*S^-2*R^2*S^-2*R^10*S^-4 ] C205.22 : Type {52,52}_34 Order 884 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, R^2*S^-2*R*S^-1*R*S^-2*R^8*S^-7*R*S^-1 ] Genus 206 C206.1 : Type {5,10}_410 Order 2050 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^2*S^-1*R^2*S^-2*R^-1*S*R^2*S*R^-1*S^-1*R*S^2 ] C206.2 : Type {5,10}_410 Order 2050 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S^3*R^-1*S*R^-1*S^-1*R*S^2 ] C206.3 : Type {10,15}_246 Order 1230 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R^5*S*R^-4*S^-1 ] C206.4 : Type {10,15}_246 Order 1230 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R*S^-1*R^-2*S^2*R^-1*S*R^-1*S ] C206.5 : Type {24,24}_82 Order 984 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-3*S, S^-3*R^4*S^-3*R*S^-1 ] Genus 207 C207.1 : Type {3,12}_824 Order 4944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] Genus 208 C208.1 : Type {6,72}_72 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12*R^-1*S^-4*R^2*S^-1*R*S^7 ] C208.2 : Type {8,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S, R*S^-1*R^-3*S*R^3*S*R^-3*S^-1, (R^-1*S^5)^2, S*R^-1*S^2*R^-3*S^3*R^-2*S ] C208.3 : Type {8,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R^-2*S)^3, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R ] C208.4 : Type {8,18}_36 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, R*S^-1*R^-3*S*R^3*S*R^-3*S^-1, S^-3*R^-3*S*R^2*S^3*R^-1*S^-2 ] C208.5 : Type {18,54}_54 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-1*S^2*R^-1, R^-2*S*R^4*S^-1*R*S*R^-1*S, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, R^-18 ] C208.6 : Type {18,54}_54 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, S*R^6*S*R^-1*S^2*R^-1, R^-1*S^4*R^-1*S*R^-5*S*R^-2*S^2*R^-1 ] C208.7 : Type {18,54}_54 Order 972 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S*R^-1*S^2*R^-1, (R^3*S^-2*R^4)^2 ] C208.8 : Type {18,54}_54 Order 972 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-1*S*R^-2*S*R^-9*S^2*R^-2, S^-2*R^-1*S^7*R*S^-1*R*S^2*R^-1*S^-6 ] C208.9 : Type {22,22}_46 Order 1012 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-1*S*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, R^-2*S^2*R^-2*S^2*R^-8*S^2*R^-4 ] C208.10 : Type {22,22}_46 Order 1012 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-2*R^3*S^2*R^-2*S, S^-3*R^4*S^-2*R^5*S^-1*R*S^-1*R*S^-1*R^3 ] C208.11 : Type {22,22}_46 Order 1012 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S*R^6*S^3*R^-2, R^-2*S*R^-5*S*R^-1*S*R^-5*S^3*R^-1*S^2 ] C208.12 : Type {22,22}_46 Order 1012 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^3*S^-1*R*S*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^-1*R*S^-4*R^2*S^-1*R^7*S^-1*R*S^-2*R*S^-1 ] C208.13 : Type {22,22}_46 Order 1012 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, R^-2*S*R^4*S^-1*R*S^2*R^-1, R*S^-3*R*S^-5*R^5*S^-1*R^2*S^-1*R^3 ] Genus 209 C209.1 : Type {4,8}_104 Order 3328 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S ] C209.2 : Type {4,8}_104 Order 3328 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S^-1 ] C209.3 : Type {4,8}_104 Order 3328 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C209.4 : Type {4,8}_208 Order 3328 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C209.5 : Type {4,12}_156 Order 2496 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S ] C209.6 : Type {4,12}_312 Order 2496 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-2*R^-2*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1 ] C209.7 : Type {4,20}_260 Order 2080 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1*S*R^-1*S*R^-1*S*R^-1*S, S^20 ] C209.8 : Type {4,30}_60 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-2)^4, (R*S^-5)^2, S^30 ] C209.9 : Type {4,36}_468 Order 1872 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^36 ] C209.10 : Type {4,68}_442 Order 1768 mV = 17 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^17*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S*R^-1*S^-2*R*S^9 ] C209.11 : Type {5,12}_8 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, (R*S)^2, (R*S^-1)^4, S^12, S*R*S^-4*R^2*S*R^-1*S^4 ] C209.12 : Type {6,6}_52 Order 2496 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R^2*S^2*R^-1*S^-3*R*S^-1*R*S*R^-1*S^-1*R*S^3*R*S^-1*R*S^2 ] C209.13 : Type {6,6}_104 Order 2496 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R^2*S^2*R^-1*S^-3*R*S^-1*R*S*R^-1*S^-1*R*S^3*R*S^-2*R*S^-1 ] C209.14 : Type {6,6}_104 Order 2496 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, R^-1*S*R^2*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-2*S^-2 ] C209.15 : Type {6,6}_104 Order 2496 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R^-1*S*R^-1*S^-3*R*S^-1*R^-1*S*R*S^-1*R*S^3*R^-1*S^2*R^-1*S^2*R^2*S ] C209.16 : Type {6,6}_104 Order 2496 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^2*S*R^-2*S^-1*R^2*S^-1*R^2*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R^-1*S*R*S^-1*R^3*S^-1*R ] C209.17 : Type {6,15}_260 Order 1560 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^2*S^2*R^-2*S*R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S*R^-2*S^-2*R^-1*S ] C209.18 : Type {6,16}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, S^-3*R^2*S^-1*R^-1*S^2*R^-1*S^-1*R^2*S^-1, R*S^-1*R*S^-1*R*S^-1*R^2*S^4*R^-1*S^-1 ] C209.19 : Type {6,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-1*R*S^-3*R^2*S^-3*R*S^-1, R*S^-1*R*S^-1*R*S^-1*R^2*S^4*R^-1*S^-1 ] C209.20 : Type {6,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, S^3*R^2*S^-1*R^-1*S^2*R^-1*S^-1*R^2*S, R^-2*S*R^-1*S*R^-2*S^-2*R*S*R^-2*S, S*R^-2*S*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1 ] C209.21 : Type {6,16}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-2*R^-1*S*R*S^-2*R^4*S*R^-2*S*R^-2*S^-1 ] C209.22 : Type {6,16}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, (R*S^-1*R)^4, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1 ] C209.23 : Type {6,16}_48 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, S^-2*R^2*S^-1*R^-2*S^2*R^-1*S^-1*R, S^16 ] C209.24 : Type {6,16}_48 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2 ] C209.25 : Type {6,16}_48 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-4, S^-1*R*S^-1*R*S^-2*R^-1*S*R^3*S*R^-1*S^-1*R^2*S^-1*R ] C209.26 : Type {6,16}_48 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1, S^16 ] C209.27 : Type {6,42}_56 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, R^-1*S^2*R*S^-1*R^-3*S^-1*R^2*S^-1*R*S, S^2*R*S^-2*R^-1*S*R^-2*S^9 ] C209.28 : Type {6,51}_442 Order 1326 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R*S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R, S^-3*R^2*S^-4*R^2*S^-1*R^-3*S*R^-1*S^-8 ] C209.29 : Type {8,8}_52 Order 1664 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S ] C209.30 : Type {8,8}_52 Order 1664 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S*R^-1*S*R^-1*S ] C209.31 : Type {8,8}_104 Order 1664 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^2*R^-2*S*R^-1*S*R^-1*S ] C209.32 : Type {8,8}_104 Order 1664 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R*S^-1 ] C209.33 : Type {8,8}_104 Order 1664 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^2*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^-1 ] C209.34 : Type {8,8}_104 Order 1664 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^2*R^-2*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^-1 ] C209.35 : Type {8,8}_104 Order 1664 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-2*R*S^-1*R*S^-1 ] C209.36 : Type {8,24}_156 Order 1248 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-6*R^-4*S^-6, R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S ] C209.37 : Type {8,24}_156 Order 1248 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-6*R^-4*S^-6, R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R^-2*S^2*R^-2*S^-1*R*S^2 ] C209.38 : Type {12,12}_52 Order 1248 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1 ] C209.39 : Type {12,12}_52 Order 1248 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R^2*S^-1*R^4*S^-1*R^2*S^-2, R^3*S^-1*R^3*S^-5, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-1*R^-1*S*R*S^-2*R^2*S^2*R^-1*S*R^-1*S^-1 ] C209.40 : Type {12,12}_52 Order 1248 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, (R*S^-1*R)^4, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^3*R^5*S*R^-2*S^-1*R*S ] C209.41 : Type {12,12}_52 Order 1248 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, R^12, R*S^-1*R^5*S^-2*R*S^-1*R ] C209.42 : Type {12,12}_52 Order 1248 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R^-1*S*R^2*S^3*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C209.43 : Type {12,12}_52 Order 1248 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C209.44 : Type {12,12}_104 Order 1248 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R)^2, R^12, S^-1*R^6*S^-5, S*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^2*R^-1*S^-1*R*S^2*R^-1*S ] C209.45 : Type {14,63}_36 Order 1008 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^3*R^4*S^-1*R*S^2*R^-1, R^-1*S^4*R^-2*S^2*R^-1*S^-3 ] C209.46 : Type {16,32}_32 Order 1024 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R*S^-2*R^4*S*R^-1*S^-1*R^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-5*R^2*S^-1*R*S*R^-1*S^-1 ] C209.47 : Type {16,32}_32 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S^-4*R^3*S^3*R^-1*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R ] C209.48 : Type {16,32}_32 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, R^-1*S^3*R^3*S^-5 ] C209.49 : Type {16,32}_32 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, R^-1*S^3*R^3*S^-5, S*R^2*S^-2*R^3*S*R^-1*S^2*R^-2 ] C209.50 : Type {16,32}_32 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S^-4*R^3*S^3*R^-1*S^-1 ] C209.51 : Type {16,32}_32 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^3*S*R^-2*S^-1, S^5*R^3*S^-2*R^-1*S*R^-2*S^8 ] C209.52 : Type {16,32}_32 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R^-1*S*R^3*S^-2*R*S^3 ] C209.53 : Type {16,32}_32 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^4*R^-1, S*R^7*S^3*R^-1*S^2, R*S^-2*R^-1*S*R^3*S^-2*R*S^3 ] C209.54 : Type {20,20}_52 Order 1040 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-2*S^-2*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1*S, R^-2*S^3*R^-1*S^2*R^-9*S^3 ] C209.55 : Type {30,30}_4 Order 960 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^2*R^-1*S*R^-1, R^3*S^-2*R^11*S^-2*R^7*S^-2*R*S^-2 ] C209.56 : Type {30,30}_8 Order 960 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, S*R^-1*S^2*R^-2*S*R^-3*S^2*R^-2*S^2*R^-7*S*R^-4*S*R^-1 ] C209.57 : Type {36,36}_26 Order 936 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, R^-2*S*R^3*S*R^-1*S^-2, S^-4*R^2*S^-2*R^2*S^-2*R^2*S^-4*R^3*S^-1*R^9*S^-3*R^2 ] C209.58 : Type {36,36}_26 Order 936 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, S*R^-1*S^5*R^-1*S^3*R^-1*S*R^-1*S*R^-10*S^7*R^-1*S^2*R^-1 ] C209.59 : Type {36,36}_26 Order 936 mV = 12 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, R^-1*S^2*R^-2*S*R^-1*S^5*R^-13*S^2*R^-6*S*R^-1*S ] C209.60 : Type {56,56}_4 Order 896 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S^3*R^-1, R^3*S^-1*R^38*S^-1*R^11*S^-2 ] C209.61 : Type {56,56}_4 Order 896 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S*R^-2*S^2, R*S^-1*R*S^-9*R*S^-1*R^9*S^-2*R^2*S^-1 ] C209.62 : Type {68,68}_26 Order 884 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R^2*S^-3*R*S^-5*R^14*S^-6*R*S^-1*R ] Genus 210 [None] Genus 211 C211.1 : Type {3,30}_42 Order 3150 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^2*R*S^-2*R^-1*S^2*R*S^-4*R^-1*S^3*R^-1*S^-4*R*S^3 ] C211.2 : Type {4,6}_14 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, (S*R^-1*S)^5 ] C211.3 : Type {4,6}_14 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-1)^6, S^2*R*S^-1*R*S^-2*R^-1*S*R^-1*S^3*R^-1*S*R^-1, S^-1*R^-2*S^-3*R*S^-1*R*S^-1*R^-1*S*R^-1*S^-1*R*S*R^-1*S^3*R ] C211.4 : Type {4,88}_440 Order 1760 mV = 22 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^88 ] C211.5 : Type {4,88}_440 Order 1760 mV = 22 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^22*R^2*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^16 ] C211.6 : Type {4,172}_430 Order 1720 mV = 43 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^43*R^2*S*R^-1*S^-2*R*S^40 ] C211.7 : Type {6,33}_462 Order 1386 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-33 ] C211.8 : Type {6,93}_434 Order 1302 mV = 31 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-16*R^2*S^-6*R*S*R^-2*S*R^-1*S^-7 ] C211.9 : Type {8,12}_40 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^-3*R*S, S^12, R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-1*S^-3 ] C211.10 : Type {8,12}_40 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^-3*R*S, S^12, S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^-1 ] C211.11 : Type {9,9}_14 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, S^9, (R*S)^2, (R*S^-2*R^3)^2, S^-1*R*S^-2*R^3*S^2*R^-1*S^-2, R*S^-1*R^-2*S*R^3*S*R^-1*S*R^-1*S^-2 ] C211.12 : Type {12,36}_90 Order 1080 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R^2*S^-1*R^3*S^-2*R^3, S*R*S^-2*R^3*S^2*R^-2*S ] C211.13 : Type {12,36}_90 Order 1080 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, R^12, S^-2*R^5*S^-3*R*S^-1 ] C211.14 : Type {12,36}_90 Order 1080 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^5*R*S^-2*R^-1*S^2*R^2*S^9 ] C211.15 : Type {12,36}_90 Order 1080 mV = 9 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^5*R*S^-2*R^-1*S^2*R^-5*S^-4*R^-1*S^5 ] C211.16 : Type {15,30}_70 Order 1050 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S*R^-7*S^3*R^-1*S^2*R^-1 ] C211.17 : Type {18,36}_56 Order 1008 mV = 6 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R, S^-1*R*S^-1*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2 ] C211.18 : Type {24,24}_42 Order 1008 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^6*S^5, R^-3*S^4*R^-2*S^3*R^-7*S*R^-2*S^2 ] C211.19 : Type {24,24}_42 Order 1008 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R*S^-1*R*S^-2*R^-2*S^-2*R*S^3*R^-1, R^16*S^-6*R^2 ] C211.20 : Type {24,24}_84 Order 1008 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-5, S^-1*R*S^-1*R^4*S^-2*R^3 ] C211.21 : Type {24,24}_84 Order 1008 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^8*S^-1*R^2*S^-1, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S ] C211.22 : Type {24,48}_80 Order 960 mV = 12 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-3*R^4*S^-5, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1 ] C211.23 : Type {24,48}_80 Order 960 mV = 12 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-3*R^4*S^-5, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1 ] C211.24 : Type {63,126}_14 Order 882 mV = 21 mF = 21 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, S^3*R^-26*S^7*R^-1*S^2*R^-2*S^2*R^-14*S*R^-2*S*R^-2 ] C211.25 : Type {88,88}_10 Order 880 mV = 22 mF = 22 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-51*S^4*R^-1*S^7*R^-12*S^8*R^-3 ] C211.26 : Type {88,88}_20 Order 880 mV = 22 mF = 22 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-1*S*R^-9*S^10*R^-12*S^7*R^-1*S^2*R^-1 ] C211.27 : Type {172,172}_10 Order 860 mV = 43 mF = 43 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-49*S^4*R^-1*S^7*R^-12*S^8*R^-3 ] Genus 212 C212.1 : Type {5,10}_422 Order 2110 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^2*R*S^-2*R^-1*S*R^2*S^2*R^-1*S^-2*R*S ] C212.2 : Type {5,10}_422 Order 2110 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-2*R^-1*S^2*R*S^-1*R*S^5*R^-1*S^2 ] C212.3 : Type {6,6}_422 Order 2532 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^3*R^2*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] Genus 213 C213.1 : Type {4,8}_212 Order 3392 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C213.2 : Type {4,8}_424 Order 3392 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C213.3 : Type {4,12}_636 Order 2544 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1 ] C213.4 : Type {4,20}_530 Order 2120 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C213.5 : Type {8,8}_212 Order 1696 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1 ] C213.6 : Type {8,8}_212 Order 1696 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1 ] C213.7 : Type {12,12}_106 Order 1272 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S^-2*R^2*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R^2*S*R^-1*S^-1*R*S*R^-1 ] C213.8 : Type {20,20}_106 Order 1060 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^2*S^-1*R*S^-2*R^2*S^-1*R*S^-1*R*S^-1*R*S^2 ] Genus 214 C214.1 : Type {6,216}_216 Order 1296 mV = 72 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^36*R^2*S*R^-2*S^35 ] C214.2 : Type {10,10}_142 Order 1420 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, S*R*S^-1*R*S^-1*R^3*S^4*R^-1*S ] C214.3 : Type {10,10}_142 Order 1420 mV = 1 mF = 2 Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, (R*S^-1*R^3)^2, (R*S^-3*R)^2, R*S^-5*R^-2*S^-1*R*S^-1*R^2*S^-1 ] C214.4 : Type {12,45}_90 Order 1080 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^12, S^7*R^-2*S*R^5*S^-1*R*S^6 ] Genus 215 [None] Genus 216 C216.1 : Type {14,14}_86 Order 1204 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, R^14, (R*S^-1*R^5)^2 ] C216.2 : Type {14,14}_86 Order 1204 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^3*R^4*S*R^-1*S^-1*R*S, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, R^14 ] C216.3 : Type {14,14}_86 Order 1204 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^14 ] C216.4 : Type {20,50}_100 Order 1000 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^-3*R^-1*S*R^3*S^-6 ] C216.5 : Type {20,50}_100 Order 1000 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^-2*R^-1*S*R*S^-1*R^2*S^-6 ] Genus 217 C217.1 : Type {4,6}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^-1*S*R^-1*S*R^2*S^3*R^2*S*R^-1*S^-1*R*S^-1, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1, R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^3*R^2*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C217.2 : Type {4,6}_72 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, R^-1*S^2*R^-1*S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-3*R*S^-1*R^2*S*R^-1*S^3*R^2*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S ] C217.3 : Type {4,8}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S^2 ] C217.4 : Type {4,12}_18 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-5)^2, S^12, S^-1*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C217.5 : Type {4,12}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-5)^2, S^12, (R*S^-2)^6 ] C217.6 : Type {4,16}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R^-1*S*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S^3 ] C217.7 : Type {4,16}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S^-3 ] C217.8 : Type {4,16}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1, S^-5*R*S^-1*R*S^2*R^-1*S^-2*R, S^16 ] C217.9 : Type {4,16}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^-5*R*S^-1*R*S^2*R^-1*S^-2*R, R*S^-4*R^-1*S*R^2*S^3*R^-1*S^-1*R*S^-1 ] C217.10 : Type {4,16}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1 ] C217.11 : Type {4,16}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, R*S^-4*R^-1*S*R^2*S^3*R^-1*S^-1*R*S^-1 ] C217.12 : Type {4,16}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^6, (R*S^-3*R*S^-1)^2, S^-5*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, R^-1*S*R*S^-2*R*S^-1*R^-1*S^2*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C217.13 : Type {4,16}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, (R*S^-3*R*S^-1*R*S^-1)^2, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2 ] C217.14 : Type {4,112}_56 Order 1792 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2, S^14*R^-1*S^-5*R*S*R^-1*S^-1*R*S^7 ] C217.15 : Type {6,6}_12 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S, S*R*S^-1*R*S^-2*R^2*S*R^-1*S^2*R^-1*S, S*R^-1*S*R^-3*S^-3*R^3*S^3*R^-1*S*R^-1 ] C217.16 : Type {6,6}_24 Order 2592 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-1*R*S^-1*R^-2*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-2*S ] C217.17 : Type {6,9}_36 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S*R^-1*S^-2*R^3*S*R^-1*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S*R^-2*S*R^-1*S*R^-1*S*R*S^-1*R^-2 ] C217.18 : Type {6,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^2*S^-3*R^-2*S^-6 ] C217.19 : Type {6,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, (R*S^-1)^6, S^-1*R^2*S^-2*R^-2*S*R^-1*S^-1*R^2*S^-1*R, R^2*S^-3*R^-2*S^-6 ] C217.20 : Type {6,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, (R*S^-1)^6, R^2*S^-3*R^-2*S^-6 ] C217.21 : Type {6,27}_54 Order 1458 mV = 9 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^-1*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R*S*R^-1*S^-2 ] C217.22 : Type {8,8}_12 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S*R^-1*S^2*R^3*S^-2*R*S*R^-1 ] C217.23 : Type {8,8}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-1*R^-4*S^-1*R^3*S, R*S^-1*R*S^-2*R^3*S^-1*R^2*S*R^-1*S ] C217.24 : Type {8,8}_24 Order 1728 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, S*R^-1*S*R^-1*S*R^3*S*R^-1*S*R^-1*S*R^-1 ] C217.25 : Type {8,8}_24 Order 1728 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, (R*S^-1)^6 ] C217.26 : Type {8,24}_6 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R^-2*S*R^3*S^-2*R*S^2, R*S^-4*R^2*S*R^-1*S^-3 ] C217.27 : Type {12,12}_12 Order 1296 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^12, S^-1*R^6*S^-5, R*S^-1*R^-1*S^2*R*S^-1*R^3*S^2*R^-1*S^-1*R^2*S^-2 ] C217.28 : Type {12,12}_12 Order 1296 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, S^-1*R^6*S^-5, S^-3*R^2*S^-2*R^3*S^2*R^-1*S^-1*R^2*S^-1*R ] C217.29 : Type {16,16}_8 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, S^-3*R^-1*S*R^2*S^-4*R, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2 ] C217.30 : Type {16,16}_8 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1, R^16 ] C217.31 : Type {16,16}_8 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^-1*R*S^3, R*S^-1*R^-2*S*R^3*S^-2*R^2*S^2 ] C217.32 : Type {16,16}_8 Order 1152 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^-1*R*S^-3*R^2*S^-1*R*S^-3, R^-1*S*R*S^-1*R^-5*S^2*R^-1*S^-4 ] C217.33 : Type {16,16}_12 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S^-1*R^-1*S*R^4*S^-1*R*S^-3 ] C217.34 : Type {16,16}_12 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R^-1*S*R^4*S^-1*R*S^3, R^16 ] C217.35 : Type {16,16}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, S^-1*R^-1*S*R^4*S^-1*R*S^-3 ] C217.36 : Type {16,16}_24 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, S*R^-1*S*R^4*S^-1*R*S^3 ] C217.37 : Type {16,16}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3, R^16 ] C217.38 : Type {16,16}_24 Order 1152 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^2*S^-1*R^4*S*R^-1*S^-1*R*S^-1, R*S^-3*R^4*S^-2*R*S^3 ] C217.39 : Type {16,16}_24 Order 1152 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R^-5*S^2*R^-1*S^-1*R*S^2, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S^2*R^-1 ] C217.40 : Type {16,64}_64 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-2*R^3*S^5, R^16 ] C217.41 : Type {16,64}_64 Order 1024 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3, R^16 ] C217.42 : Type {16,64}_64 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, R^16, S^-4*R^-1*S^4*R^-2*S^6*R^-1*S^-2 ] C217.43 : Type {16,64}_64 Order 1024 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, R^16, S^4*R*S^-4*R^4*S^-1*R*S^7 ] C217.44 : Type {21,42}_12 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S^4*R^3*S^-1*R^2*S*R^-1, S^-2*R*S^-4*R^7*S^-1*R^5*S^-1 ] C217.45 : Type {31,31}_4 Order 992 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S*R^-1*S*R^-2, R^4*S^-14*R^9*S^-2*R*S^-1 ] C217.46 : Type {31,31}_4 Order 992 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^4*R^-1, R^3*S^-1*R*S^-12*R*S^-1*R^8*S^-2*R^2 ] C217.47 : Type {31,31}_4 Order 992 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^2*R^-1*S^2, R*S^-1*R*S^-2*R^10*S^-1*R*S^-2*R^8*S^-4 ] C217.48 : Type {112,112}_4 Order 896 mV = 16 mF = 16 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^87*R^-1*S*R^-13*S^5*R^-2*S ] C217.49 : Type {112,112}_4 Order 896 mV = 16 mF = 16 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R*S^-1*R*S^-37*R*S^-1*R^10*S^-1*R*S^-1*R ] C217.50 : Type {112,112}_8 Order 896 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^3*R*S^-1*R^2*S^-1*R*S^3, S^-3*R*S^-4*R*S^-3*R^7*S^-1*R^3*S^-3*R^2 ] Genus 218 C218.1 : Type {6,6}_434 Order 2604 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, S^-2*R^-1*S*R^-1*S*R^-1*S^-3*R^-2*S^-1*R*S^-2*R*S^-2*R ] C218.2 : Type {6,6}_434 Order 2604 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R, R*S^-1*R*S^-2*R*S^-2*R^-2*S^-1*R*S*R^-1*S^3*R^-1*S^2 ] C218.3 : Type {6,6}_434 Order 2604 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-2*S^-3*R*S^-1*R^-2*S^-3*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R^-1*S^2*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1*S^-2*R*S^-1 ] C218.4 : Type {6,6}_434 Order 2604 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^3*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C218.5 : Type {6,24}_248 Order 1488 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, R*S^-1*R^-1*S*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S*R^-1*S^-2 ] C218.6 : Type {6,24}_248 Order 1488 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-2*S^-1*R^2*S*R^-1*S^-2 ] C218.7 : Type {6,96}_224 Order 1344 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^16*R^2*S*R^-1*S^-3*R*S^12 ] C218.8 : Type {6,96}_224 Order 1344 mV = 32 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^16*R^3*S^-1*R*S^4*R^-1*S^-1*R*S^10 ] C218.9 : Type {10,20}_124 Order 1240 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^4*S^-1*R^-2*S^-1*R^4*S^-1, S*R*S^-2*R^4*S^4*R^-1*S ] C218.10 : Type {10,20}_124 Order 1240 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^-1*R^4*S^-1*R^-2*S^-1*R^4*S^-1 ] C218.11 : Type {10,20}_124 Order 1240 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1 ] C218.12 : Type {10,20}_124 Order 1240 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R^4*S^-1*R^-3*S^-1*R*S^3 ] C218.13 : Type {18,18}_62 Order 1116 mV = 3 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-4*S*R^-11*S*R^-1, S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C218.14 : Type {18,72}_56 Order 1008 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^3*R*S^-1*R^2*S^-1*R*S^3, S^-1*R*S^-3*R*S^-1*R^10*S^-1 ] C218.15 : Type {18,72}_56 Order 1008 mV = 24 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R*S^-1*R^-1*S*R^3*S^-1*R*S^4, (R^-2*S^2*R^-2*S*R^-1*S)^2 ] C218.16 : Type {66,66}_14 Order 924 mV = 22 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, S^2*R^-31*S*R^-1*S*R^-1*S^5*R^-13*S^2*R^-6*S*R^-2 ] Genus 219 C219.1 : Type {3,12}_872 Order 5232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2 ] C219.2 : Type {4,8}_872 Order 3488 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^2*S^-1*R*S^-2*R^2*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C219.3 : Type {4,8}_872 Order 3488 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C219.4 : Type {4,12}_654 Order 2616 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^2*R ] C219.5 : Type {8,8}_218 Order 1744 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^-1 ] C219.6 : Type {8,8}_436 Order 1744 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^2*R^-1 ] C219.7 : Type {12,12}_218 Order 1308 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, R^2*S^-1*R^6*S*R^-1*S^-4*R ] C219.8 : Type {12,12}_218 Order 1308 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-2*R*S^-1*R^-2*S^-2*R*S^-1 ] Genus 220 C220.1 : Type {3,12}_438 Order 5256 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^3*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S ] C220.2 : Type {6,6}_438 Order 2628 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-2*S^-1*R*S^-1*R*S^-1*R^-1 ] C220.3 : Type {6,6}_438 Order 2628 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-3*R^-1*S*R^2*S^3*R*S^-2*R^-1*S^2*R*S^-2*R^-2*S^-1*R*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1 ] C220.4 : Type {6,12}_292 Order 1752 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-2*S^-3*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S*R^-1*S^-1*R*S ] C220.5 : Type {6,12}_292 Order 1752 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S^-1*R*S*R^-1*S^-2*R^-1*S*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R*S^-1*R^-1 ] C220.6 : Type {9,18}_146 Order 1314 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C220.7 : Type {9,18}_146 Order 1314 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R^-4*S*R^-2*S^-1*R*S ] C220.8 : Type {9,18}_146 Order 1314 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1 ] C220.9 : Type {9,18}_146 Order 1314 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S^3*R^-1*S*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^2 ] C220.10 : Type {12,90}_180 Order 1080 mV = 15 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^15*R^-1*S^-1*R^2*S^-4*R*S^10 ] Genus 221 C221.1 : Type {4,48}_240 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^48 ] C221.2 : Type {4,48}_240 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S^-5*R^-1*S^6*R*S^-1*R^2*S^-1*R*S*R^-1*S^-2*R*S^6*R^-1*S^-2 ] C221.3 : Type {4,92}_460 Order 1840 mV = 23 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^92 ] C221.4 : Type {4,180}_90 Order 1800 mV = 45 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^45*R^2*S*R^-1*S^-2*R*S^42 ] C221.5 : Type {8,32}_160 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-2*S^2*R*S^-1*R^2*S^-2*R*S^3 ] C221.6 : Type {8,32}_160 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-1*S^2*R*S^-1*R^2*S^-2*R^2*S^-2 ] C221.7 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, R*S^-1*R^-1*S^5*R*S^-2*R^-1*S*R^-1*S^-5*R*S^2 ] C221.8 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^32 ] C221.9 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, S^-1*R^-1*S^6*R*S^-1*R^-2*S^-2*R^2*S^-6 ] C221.10 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^32 ] C221.11 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C221.12 : Type {8,32}_160 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^2*S^-2*R^-1*S*R^-2*S^-1*R*S^2*R^-1*S, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C221.13 : Type {8,120}_30 Order 1200 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^15*R*S^-1*R*S^5*R^-1*S^-1*R*S^8 ] C221.14 : Type {8,120}_60 Order 1200 mV = 30 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^15*R*S^-1*R^2*S^-2*R*S^12 ] C221.15 : Type {12,20}_10 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^5, R^12, S^-2*R^5*S^-1*R*S^-1*R^2 ] C221.16 : Type {12,20}_60 Order 1200 mV = 5 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^20 ] C221.17 : Type {16,128}_128 Order 1024 mV = 32 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^16*R^2*S*R^-2*S^15 ] C221.18 : Type {20,100}_50 Order 1000 mV = 20 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S*R*S^-3*R^3*S^6, R^3*S^-1*R^10*S^-1*R^3*S^-2 ] C221.19 : Type {20,100}_50 Order 1000 mV = 20 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S^3*R^-1*S, S^3*R*S^-2*R^2*S^-1*R*S^4, R^3*S^-1*R^10*S^-1*R^3*S^-2 ] C221.20 : Type {32,96}_30 Order 960 mV = 24 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S^-1*R^2*S^-2*R^8*S^-1*R*S^-1*R*S^-1*R*S^-1*R^9*S^-3 ] C221.21 : Type {32,96}_60 Order 960 mV = 24 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^-2*R^-1*S^3*R*S^-1*R^-1*S^2*R^-1*S^-4, R^2*S^-1*R^6*S^-2*R^2*S^-3 ] C221.22 : Type {48,48}_20 Order 960 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-2*S^15*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C221.23 : Type {48,48}_20 Order 960 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, S^-1*R*S^-2*R*S^-2*R^11*S^-1*R*S^-1*R*S^-1*R ] C221.24 : Type {48,48}_40 Order 960 mV = 12 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^2*R^-13*S^3*R^-2*S^3*R^-1 ] C221.25 : Type {92,92}_10 Order 920 mV = 23 mF = 23 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-55*S*R^-3*S*R^-1*S*R^-1*S^2*R^-14*S^7*R^-1*S^3 ] C221.26 : Type {180,180}_10 Order 900 mV = 45 mF = 45 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^2*S^-1*R*S, S*R^-1*S^57*R^-1*S^7*R^-12*S^7*R^-1*S^3 ] Genus 222 C222.1 : Type {56,56}_34 Order 952 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S^2*R^-2*S, R*S^-7*R*S^-1*R^2*S^-1*R^2*S^-1*R^9*S^-3 ] Genus 223 C223.1 : Type {3,12}_888 Order 5328 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-3*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1 ] C223.2 : Type {4,16}_592 Order 2368 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1 ] C223.3 : Type {4,16}_592 Order 2368 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^3*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1 ] C223.4 : Type {4,28}_518 Order 2072 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C223.5 : Type {6,9}_666 Order 1998 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-2*S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1 ] C223.6 : Type {6,9}_666 Order 1998 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-1 ] C223.7 : Type {6,9}_666 Order 1998 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-1*S*R*S^-1*R^-1 ] C223.8 : Type {6,12}_296 Order 1776 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^3*R^2*S*R^-1*S^-2*R*S^-1*R*S ] C223.9 : Type {6,21}_518 Order 1554 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R*S^-1*R^-1*S*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C223.10 : Type {6,225}_450 Order 1350 mV = 75 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-38*R^-2*S^-1*R^2*S^-36 ] C223.11 : Type {12,180}_90 Order 1080 mV = 60 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^15*R^3*S^-1*R*S^14 ] C223.12 : Type {15,30}_74 Order 1110 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S*R^-1*S^-3*R^-1*S^2*R*S^-2*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S ] C223.13 : Type {16,16}_74 Order 1184 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-2*S^-2*R*S^-1*R^2*S ] C223.14 : Type {16,16}_148 Order 1184 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, R*S^-1*R^-1*S*R^2*S^-2*R*S^-1*R^2*S^2*R^-1*S*R^-2*S^-2*R*S^-1*R*S^-1 ] C223.15 : Type {28,28}_74 Order 1036 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S^-2*R*S^-1*R*S^-1 ] C223.16 : Type {102,153}_18 Order 918 mV = 51 mF = 17 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S^3*R^3*S^-1*R*S^2, S^30*R^-2*S^2*R^-1*S*R^-11*S^2*R^-2 ] Genus 224 C224.1 : Type {6,6}_446 Order 2676 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-2*R*S^2*R^-1*S^-3*R^-2*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-3*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] Genus 225 C225.1 : Type {3,12}_56 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, R^-1*S^-6*R*S^-2*R*S^6*R^-1*S^2, (R*S^-4*R*S^-3)^2, S^-1*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2 ] C225.2 : Type {3,12}_112 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, R^-1*S^-6*R*S^-2*R*S^6*R^-1*S^2, (R*S^-4*R*S^-3)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^2 ] C225.3 : Type {3,12}_112 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, R^-1*S^-6*R*S^-2*R*S^6*R^-1*S^2, (R*S^-4*R*S^-3)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2 ] C225.4 : Type {3,12}_112 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, R^-1*S^-6*R*S^-2*R*S^6*R^-1*S^2, (R*S^-4*R*S^-3)^2, S^-1*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2 ] C225.5 : Type {3,12}_112 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^3*R^-1*S ] C225.6 : Type {4,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-3*R^-1*S*R^2*S^-2*R*S*R^-1*S^-1, (R*S^-5)^2, S^18 ] C225.7 : Type {4,18}_72 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-5)^2, (R*S^-1)^8, S^18 ] C225.8 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R^-1*S^2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S*R*S^-3*R*S^-1*R*S^4*R^-1*S, S^3*R*S^-1*R^-1*S^4*R*S^-6*R*S^2 ] C225.9 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^2*R*S^-1*R*S^-1*R^-2*S^-2*R*S*R^-1*S, R*S^-3*R^-1*S*R*S^-1*R*S^-2*R*S*R^-1*S^-2, S^-4*R^-1*S*R*S^-2*R^-1*S*R^2*S^6*R^-1*S^-2 ] C225.10 : Type {4,32}_32 Order 2048 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R^-1*S^2*R*S^-1*R*S^-1*R*S^-6 ] C225.11 : Type {6,6}_14 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-1)^6, S^-1*R^-2*S*R*S^-1*R^-3*S^-1*R*S*R^-2*S^-1, R*S^-2*R^-1*S*R^-2*S^3*R^-1*S^2*R ] C225.12 : Type {6,6}_14 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R*S^-1*R^-3*S^-1*R^2*S, (R*S^-1*R)^4 ] C225.13 : Type {6,6}_14 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, S^-1*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R^2*S^-1*R, S^-1*R^-2*S*R^2*S^-3*R^-2*S^-1*R^2*S^3*R*S^-1 ] C225.14 : Type {6,6}_28 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (S^-1*R^2*S^-1)^3, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, R^-1*S*R^-1*S^-3*R*S^-1*R^-2*S^3*R^-1*S*R^-1*S*R^-1*S^-2 ] C225.15 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S ] C225.16 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-1*R)^4, R*S^-1*R*S^-3*R^-1*S*R*S^-1*R^2*S*R^-1*S^3*R*S^-2 ] C225.17 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S^3*R^-1*S^2*R*S^-2*R ] C225.18 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S ] C225.19 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R*S^-1*R*S^-3*R*S^-1*R^-2*S^3*R^-1*S*R^-1*S*R^-1*S^-2 ] C225.20 : Type {6,6}_56 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R*S^-1*R^-2*S^-3*R*S^-1*R^-2*S^3*R*S^-2*R*S^-2 ] C225.21 : Type {6,10}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, (R*S)^2, (R*S^-4)^2, (R*S^-1*R)^4, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R*S^-1*R*S^-2*R^-1*S^2*R^-1*S^-2*R ] C225.22 : Type {6,10}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, (R*S)^2, (S^-1*R)^5, (R*S^-4)^2, (R*S^-1*R)^4, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1 ] C225.23 : Type {6,10}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, (R*S)^2, (S^-1*R)^5, (R*S^-4)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R*S^-1*R^2*S^-1*R^-2*S^-2*R*S*R^-2*S^-1 ] C225.24 : Type {6,10}_20 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^10, (R*S)^2, (R*S^-4)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R*S^-1*R*S^-2*R^-1*S^2*R^-1*S^-2*R, S^-1*R*S^-1*R^2*S^-1*R^-2*S^-2*R*S*R^-2*S^-1 ] C225.25 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R*S^-4*R^2*S^-1*R*S^3 ] C225.26 : Type {6,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^-3*S^-2*R*S^2, (R*S^-1*R*S^-2*R)^2, (R*S^-2)^4 ] C225.27 : Type {6,24}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-7*R^3*S^-5, S*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^-2*R*S^2 ] C225.28 : Type {6,24}_16 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-1*R*S^-2*R)^2, R*S^-4*R^2*S^-1*R*S^3 ] C225.29 : Type {8,12}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S^-2*R^2*S^-1, (R*S^-2)^4, S^12, R*S^-4*R^3*S*R^-1*S*R^-1*S^2 ] C225.30 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (S^-1*R^2*S^-1)^3, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, (R*S^-2)^4, S^12, S*R^3*S^-1*R^-4*S^-2*R*S^2, S^2*R^2*S^-1*R^3*S^2*R^-3*S ] C225.31 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R^-1*S^2*R*S^-1*R^2*S^-1*R*S^2*R^-1, (R*S^-2)^4, S^12, R*S^-4*R^3*S*R^-1*S*R^-1*S^2 ] C225.32 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2)^4, S^12, S*R*S^-1*R^-1*S*R^3*S^4*R^-1*S ] C225.33 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^12 ] C225.34 : Type {8,12}_12 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, (R*S^-2)^4, S^12, S^5*R^3*S^5*R^-1 ] C225.35 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R^3*S^-1*R^3*S^5, (R*S^-2)^4, S*R*S^-2*R*S^-1*R^2*S^-2*R*S*R^-1*S ] C225.36 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-1*R*S^-2*R)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^12 ] C225.37 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-1*R*S^-2*R)^2, S^2*R^3*S^-1*R^-1*S*R^-1*S^-1*R^3*S ] C225.38 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S*R*S^-2*R*S^-1*R^2*S^-2*R*S*R^-1*S, S*R^-1*S*R*S^-2*R^2*S^-1*R*S^3*R^-1 ] C225.39 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S*R*S^-2*R*S^-1*R^2*S^3*R^-2*S ] C225.40 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S*R*S^-2*R*S^-1*R^2*S^-3*R^2*S ] C225.41 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S*R*S^-2*R*S^-1*R^2*S^3*R^-2*S, S*R^2*S^-3*R^2*S^-1*R*S^-2*R*S ] C225.42 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S*R*S^-2*R*S^-1*R^2*S^-2*R*S*R^-1*S, S*R^2*S^-3*R^2*S^-1*R*S^3*R^-1 ] C225.43 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R*S^-2*R*S^-1*R^2*S^3*R^-2*S ] C225.44 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^12, S*R*S^-2*R*S^-1*R^2*S^-3*R^2*S, S*R^2*S^-3*R^2*S^-1*R*S^3*R^-1 ] C225.45 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R*S^-2*R*S^-1*R^2*S^2*R^-1*S^-1*R*S ] C225.46 : Type {8,12}_12 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, (R*S^-2)^4, (R*S^-5)^2, S^12 ] C225.47 : Type {8,12}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^12 ] C225.48 : Type {8,12}_24 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3, S^12 ] C225.49 : Type {8,12}_24 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^5*R^3*S^5*R^-1 ] C225.50 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S^12 ] C225.51 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2*R*S^-1*R)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, S^12 ] C225.52 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-1*R*S^-2*R)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^12, R*S^-1*R^2*S^-1*R^3*S^3*R^-1*S^-1*R ] C225.53 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, R^-2*S^2*R^3*S^-1*R*S^3 ] C225.54 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S, (R*S^-1*R*S^-2*R)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S ] C225.55 : Type {8,12}_24 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S, (R*S^-1*R*S^-2*R)^2, S^2*R^3*S^-1*R^-1*S*R^-1*S^-1*R^3*S ] C225.56 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-5)^2, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1 ] C225.57 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-5)^2, S^12, S^-2*R^2*S^-1*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1 ] C225.58 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-1)^8 ] C225.59 : Type {8,12}_24 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-5)^2, S^12, S^-1*R*S^-2*R*S^-2*R*S^3*R^-1*S^-2 ] C225.60 : Type {8,12}_48 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-2*R^4*S^-4, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C225.61 : Type {12,12}_28 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, R^-1*S*R^2*S^-2*R*S^-3*R^-2*S^-2*R*S^-2*R*S^-2 ] C225.62 : Type {12,12}_56 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-2*R^4*S^-1*R*S^-3, R^3*S^-1*R^3*S^-5, R^-1*S*R^-1*S*R^3*S*R^-1*S^-3 ] C225.63 : Type {12,12}_56 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, R^12, (R*S^-1*R^4)^2, S^-3*R^4*S*R^-2*S^-2, S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^3*R^-1*S ] C225.64 : Type {12,12}_56 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, R^12, S^-1*R^6*S^-5, S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S^-2 ] C225.65 : Type {12,12}_56 Order 1344 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, R^12, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-3*R*S^-1*R*S^-2 ] C225.66 : Type {12,12}_56 Order 1344 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R)^2, R^12, (R*S^-5)^2, R^-1*S*R^2*S^-3*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S^-3 ] C225.67 : Type {18,18}_8 Order 1152 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, S*R^3*S^-1*R^3*S*R^-2*S*R^-2, R^-1*S^2*R^-2*S*R^-8*S*R^-1*S^2 ] C225.68 : Type {18,18}_8 Order 1152 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S^2, S*R^6*S^5, R^-1*S*R^-1*S^2*R^-7*S^4*R^-2 ] C225.69 : Type {32,32}_8 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S*R*S^-2*R^2*S*R^-1*S^2, S*R^-1*S^2*R^3*S^-1*R^2*S^2, R^2*S^-1*R^6*S^-1*R^3*S^-2*R ] C225.70 : Type {32,32}_8 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S*R*S^-2*R^2*S*R^-1*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^9*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C225.71 : Type {32,32}_8 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^-2*R^2*S, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-5*R^2*S^-1*R*S*R^-1*S^-1 ] C225.72 : Type {32,32}_8 Order 1024 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-2*R^2*S*R^-1*S^2, S^-1*R^8*S^-7 ] C225.73 : Type {32,32}_8 Order 1024 mV = 4 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, R^11*S^-1*R^3*S^-1 ] C225.74 : Type {32,32}_8 Order 1024 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^2*R^-3, S^-2*R^-1*S*R^3*S^-2*R*S^-1*R, R^2*S^-1*R*S^-1*R^2*S*R^-1*S^-3 ] C225.75 : Type {32,32}_16 Order 1024 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^-2*R^2*S, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-1*S*R*S^-1*R^2*S^-5 ] C225.76 : Type {32,32}_16 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S^-2*R^2*S, S^3*R*S^-1*R^2*S^-1*R*S^3 ] C225.77 : Type {32,32}_16 Order 1024 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^3*S^4*R^-1*S^-1 ] C225.78 : Type {32,32}_16 Order 1024 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, R^11*S^-1*R^3*S^-1 ] C225.79 : Type {32,32}_32 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^-3*R^6*S^-1*R^2*S^-4 ] C225.80 : Type {32,32}_32 Order 1024 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^4*R^3*S^-2*R*S^2, R^6*S^-2*R*S^-2*R^10*S^-1*R*S^-4*R*S^-3*R ] C225.81 : Type {36,36}_28 Order 1008 mV = 6 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, S*R^-10*S*R^-1*S*R^-1*S^3*R^-11*S^2*R^-1*S*R^-2*S ] C225.82 : Type {60,60}_4 Order 960 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^6*S^2*R^-1*S*R^-1, R^3*S^-2*R^11*S^-2*R^10*S^-1*R ] C225.83 : Type {60,60}_4 Order 960 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-2*S, R*S^-1*R^41*S^-1*R^13*S^-1*R^2 ] Genus 226 C226.1 : Type {3,16}_30 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-7)^2, S^2*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^3*R^-1*S^-2*R*S^2 ] C226.2 : Type {4,12}_150 Order 2700 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R^2 ] C226.3 : Type {4,104}_104 Order 1872 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^26*R^2*S^2*R^-1*S^-4*R*S^20 ] C226.4 : Type {8,8}_30 Order 1800 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^2*S^-1*R^-2*S*R^2*S^4*R^-1*S^3, R^-1*S*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2 ] C226.5 : Type {8,36}_72 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R^-1*S*R^3*S^-1*R*S^3 ] C226.6 : Type {8,36}_72 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^-4*S^-1*R^3*S^-1, S^-1*R^-1*S^8*R^-2*S^2*R^-2*S*R^-1*S^-6 ] C226.7 : Type {8,36}_72 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R^2*S^-2*R^3*S^2*R^-1*S^-2 ] C226.8 : Type {28,56}_8 Order 1008 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1, S^-2*R^6*S^-3*R*S^-1*R ] C226.9 : Type {40,40}_10 Order 1000 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, S^-1*R*S^-1*R*S^-1*R^6*S^-1*R*S^-3*R*S^-1*R*S^-1 ] C226.10 : Type {54,54}_18 Order 972 mV = 9 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S^2*R^-2, S*R^-1*S*R^-1*S*R^-24*S*R^-1*S*R^-2*S^3*R^-11*S^2*R^-1*S^2*R^-1 ] C226.11 : Type {104,104}_6 Order 936 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, R^-1*S^30*R^-1*S^6*R^-11*S^3 ] Genus 227 C227.1 : Type {4,8}_904 Order 3616 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-2*R^-2*S^-2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S ] C227.2 : Type {4,8}_904 Order 3616 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S^-2*R^-2*S^-2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S ] C227.3 : Type {4,12}_678 Order 2712 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^3*R*S^-1*R*S^-1*R*S^-1*R ] C227.4 : Type {7,14}_226 Order 1582 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-3*R^2*S*R^-1*S^3 ] C227.5 : Type {7,14}_226 Order 1582 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^4*R^-3*S*R^-1*S^-2*R*S ] C227.6 : Type {7,14}_226 Order 1582 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^2*S^-1*R^-3*S^-1*R*S^-3*R ] C227.7 : Type {8,8}_226 Order 1808 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-1*S^2*R*S^-1*R^-4*S*R^-1*S^-1*R*S^2 ] C227.8 : Type {8,8}_226 Order 1808 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C227.9 : Type {8,8}_452 Order 1808 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C227.10 : Type {12,12}_226 Order 1356 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S*R^-1*S^2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1 ] Genus 228 [None] Genus 229 C229.1 : Type {3,12}_228 Order 5472 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-2*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-1 ] C229.2 : Type {6,6}_228 Order 2736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S*R^-1*S*R^2*S^-2*R*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^3*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S ] C229.3 : Type {6,6}_228 Order 2736 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S^2*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C229.4 : Type {6,12}_76 Order 1824 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-3*R^2*S*R^-1*S^-2 ] C229.5 : Type {6,12}_76 Order 1824 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^2*S*R^-1*S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R^-3*S^2 ] C229.6 : Type {6,12}_152 Order 1824 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, (R*S^-5)^2, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2 ] C229.7 : Type {6,12}_152 Order 1824 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R*S^3, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, R*S^-1*R*S^-1*R^-2*S*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S*R^3*S^-1*R ] C229.8 : Type {6,15}_570 Order 1710 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-1*S*R^-1*S*R^2*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C229.9 : Type {6,39}_494 Order 1482 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^4*R*S^-1*R^-1*S*R^-2*S*R^3*S^-1*R^2*S^-5*R^-1 ] C229.10 : Type {9,18}_76 Order 1368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^4*S^4*R^-1, S*R^2*S^-1*R^3*S^3*R^-1*S ] C229.11 : Type {9,18}_76 Order 1368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S ] C229.12 : Type {9,18}_76 Order 1368 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R^-4*S^2*R^-2*S^2 ] C229.13 : Type {9,18}_76 Order 1368 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R^-1*S*R^2*S^3*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^2 ] C229.14 : Type {12,12}_114 Order 1368 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, S*R*S^-2*R^3*S^3*R^-2, R^2*S^-2*R*S^-3*R^-1*S*R^-1*S^3*R^-1*S ] C229.15 : Type {12,12}_114 Order 1368 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1 ] C229.16 : Type {27,54}_38 Order 1026 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^-2*S*R^4*S^-1*R*S^2*R^-1, R^2*S^-1*R*S^-2*R^3*S^-1*R^11*S^-1*R^2*S^-1*R^2 ] C229.17 : Type {27,54}_38 Order 1026 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^3*S^-1*R*S*R^-1, S*R*S^-2*R^2*S*R^-1*S^2, R^2*S^-1*R^3*S^-1*R*S^-1*R^2*S^-1*R^12*S^-1*R*S^-1 ] C229.18 : Type {27,54}_38 Order 1026 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^6*S*R^-2*S^2, R^-1*S^7*R^-3*S^5*R^-8*S*R^-1*S ] C229.19 : Type {27,54}_38 Order 1026 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-2*R*S, R^-1*S*R^-3*S^5*R^-11*S^6 ] Genus 230 C230.1 : Type {6,6}_458 Order 2748 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R^-1*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S^-1*R^2*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R*S^-1*R^-1*S*R^-2*S*R ] Genus 231 C231.1 : Type {4,96}_480 Order 1920 mV = 24 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^96 ] C231.2 : Type {4,96}_480 Order 1920 mV = 24 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^24*R^2*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^18 ] C231.3 : Type {4,188}_470 Order 1880 mV = 47 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^47*R^2*S*R^-1*S^-2*R*S^44 ] C231.4 : Type {8,64}_320 Order 1280 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^16*R^4*S^16 ] C231.5 : Type {8,64}_320 Order 1280 mV = 16 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^16*R^4*S^16 ] C231.6 : Type {96,96}_10 Order 960 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-59*S^4*R^-2*S^3*R^-1*S^2*R^-12*S^7*R^-1*S^3 ] C231.7 : Type {96,96}_20 Order 960 mV = 24 mF = 24 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-1*S*R^-13*S^3*R^-1*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^2*R^-1 ] C231.8 : Type {119,119}_4 Order 952 mV = 17 mF = 17 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^3*S^-95*R^14*S^-4*R*S^-2 ] C231.9 : Type {188,188}_10 Order 940 mV = 47 mF = 47 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-57*S*R^-3*S*R^-1*S^3*R^-1*S^2*R^-12*S^7*R^-1*S^3 ] Genus 232 C232.1 : Type {6,36}_252 Order 1512 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^2*S*R^-1*S^-2, S^36 ] C232.2 : Type {6,36}_252 Order 1512 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^2*R*S^-4*R^2*S^-3*R*S^3 ] C232.3 : Type {6,36}_252 Order 1512 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^-1*R^-1*S^2*R*S^-1*R^-1*S*R*S^-7 ] C232.4 : Type {6,36}_252 Order 1512 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^36 ] C232.5 : Type {6,36}_252 Order 1512 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^3*S*R^-1*S^-1*R*S^5 ] C232.6 : Type {6,36}_252 Order 1512 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^2*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^6 ] C232.7 : Type {6,102}_238 Order 1428 mV = 17 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^17*R^2*S^4*R^-1*S^-1*R*S^12 ] C232.8 : Type {6,102}_238 Order 1428 mV = 34 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^17*R^3*S^-1*R^2*S^-1*R*S^15 ] C232.9 : Type {6,234}_234 Order 1404 mV = 78 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^39*R^2*S*R^-2*S^38 ] C232.10 : Type {9,12}_126 Order 1512 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^-1*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C232.11 : Type {9,12}_126 Order 1512 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, R^-1*S*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C232.12 : Type {9,12}_126 Order 1512 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^-2*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^3*R^-1*S^-2 ] C232.13 : Type {10,55}_22 Order 1210 mV = 11 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, R^-1*S^2*R*S^-2*R^-2*S^-7 ] C232.14 : Type {10,55}_22 Order 1210 mV = 11 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R*S^-1*R^-2*S^-1*R^4*S^-1, R*S^-1*R^-1*S^3*R^4*S^7 ] C232.15 : Type {12,42}_28 Order 1176 mV = 7 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-2*S*R^2*S^-1*R^-2*S*R^-2*S^-1*R*S^-1, R^-1*S*R*S^-4*R^-1*S*R^-3*S^-8 ] C232.16 : Type {12,42}_28 Order 1176 mV = 7 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, R*S^-2*R^4*S^-1*R*S^-3, S^8*R^2*S*R^-1*S^-3*R*S^2 ] C232.17 : Type {18,60}_180 Order 1080 mV = 10 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^10*R^2*S^2*R^-1*S^-3*R*S^5 ] C232.18 : Type {36,72}_56 Order 1008 mV = 12 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^3*R*S^-1*R^2*S^-1*R*S^3, R^2*S^-2*R^2*S^-1*R^10*S^-1 ] C232.19 : Type {36,72}_56 Order 1008 mV = 24 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R*S^-1*R^-1*S*R^3*S^-1*R*S^4, R^-2*S^2*R^-2*S*R^-1*S*R^-3*S*R^-1*S*R^-1*S^2 ] C232.20 : Type {45,90}_22 Order 990 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-2*R^2*S*R^-1*S^2, R^-1*S^22*R^-1*S*R^-2*S^5*R^-11*S^2 ] C232.21 : Type {45,90}_22 Order 990 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, R^-2*S*R^3*S^-1*R*S^2, S*R^-22*S^7*R^-10*S*R^-1*S*R^-2 ] C232.22 : Type {69,138}_14 Order 966 mV = 23 mF = 23 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S^2*R^-1*S, S*R^-1*S^34*R^-2*S^4*R^-3*S^2*R^-15*S^3*R^-4 ] Genus 233 C233.1 : Type {4,8}_116 Order 3712 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R*S^-1 ] C233.2 : Type {4,8}_232 Order 3712 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^2*R^-2*S^2*R*S^-1 ] C233.3 : Type {4,8}_232 Order 3712 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1*R*S^-1 ] C233.4 : Type {4,8}_232 Order 3712 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1*R*S^-1 ] C233.5 : Type {4,12}_174 Order 2784 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C233.6 : Type {4,12}_348 Order 2784 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R^2*S^-1 ] C233.7 : Type {4,20}_580 Order 2320 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S^-1*R*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S, S^20 ] C233.8 : Type {4,36}_522 Order 2088 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^2*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2, S*R*S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^5 ] C233.9 : Type {8,8}_116 Order 1856 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^2*R^2*S^-1 ] C233.10 : Type {8,8}_232 Order 1856 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C233.11 : Type {8,8}_232 Order 1856 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S^-1 ] C233.12 : Type {8,8}_232 Order 1856 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S^-2*R^2*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C233.13 : Type {8,8}_232 Order 1856 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^2*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C233.14 : Type {8,24}_174 Order 1392 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, S^-2*R^-1*S*R^-2*S^2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C233.15 : Type {8,24}_348 Order 1392 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, R^-1*S*R*S^-1*R^2*S^-2*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-2 ] C233.16 : Type {8,80}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R*S^-2*R^3*S*R^-1*S*R^-1*S^-1, R*S^-4*R^2*S^3*R^-1*S^-1, S^-10*R^3*S^2*R^-1*S^-2*R*S*R^-1*S^-5 ] C233.17 : Type {12,12}_116 Order 1392 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^2 ] C233.18 : Type {12,12}_116 Order 1392 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R^2*S*R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^2*R*S^-1 ] C233.19 : Type {14,21}_174 Order 1218 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R^-4*S^-1*R*S^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C233.20 : Type {14,21}_174 Order 1218 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^-3*S*R^-1*S*R^-1*S^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C233.21 : Type {14,21}_174 Order 1218 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-1*S^2*R^-3*S^-1*R*S*R^-1*S ] C233.22 : Type {14,70}_20 Order 1120 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^3*R^4*S^-1*R*S^2*R^-1, R^14, (R*S^-5*R)^2 ] C233.23 : Type {20,20}_58 Order 1160 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S^2*R^2*S^-1*R*S^-2*R^-2*S^-1*R*S^-1*R*S^2*R^-1*S, R^16*S^-4 ] C233.24 : Type {32,64}_64 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S^-4*R^3*S*R^-1*S^-3 ] C233.25 : Type {32,64}_64 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, R^-1*S*R*S^-2*R^2*S^-5 ] C233.26 : Type {32,64}_64 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S^3*R^2*S*R^-1*S^-3, R^10*S^-1*R*S^-2*R*S^-1 ] C233.27 : Type {32,64}_64 Order 1024 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-2*R^3*S^5, R^10*S^-1*R*S^-2*R*S^-1 ] C233.28 : Type {32,64}_64 Order 1024 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, R^11*S^-1*R^3*S^-1, S^4*R*S^-4*R^4*S^-1*R*S^7 ] C233.29 : Type {32,64}_64 Order 1024 mV = 16 mF = 8 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S*R^12*S*R^-2*S^-2*R^-2, S^-7*R^2*S^-1*R^-6*S^-8 ] C233.30 : Type {36,36}_58 Order 1044 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S^2*R^-1*S*R^-1*S^2*R^-2*S*R^-1*S^2*R^-1*S*R^-1 ] Genus 234 C234.1 : Type {8,8}_466 Order 1864 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-3*S*R^4*S^-1*R*S^4*R^-1 ] Genus 235 C235.1 : Type {3,8}_16 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, (S*R^-1*S)^8, S^-2*R*S^-2*R*S^-3*R*S^-2*R*S^-1*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-1 ] C235.2 : Type {3,12}_312 Order 5616 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C235.3 : Type {3,24}_78 Order 3744 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^-1*R*S^-3*R^-1*S^3*R*S^-3*R*S^3*R^-1*S^3*R^-1*S^2*R^-1*S^-2 ] C235.4 : Type {4,8}_104 Order 3744 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C235.5 : Type {4,8}_104 Order 3744 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^-1*R*S^-1*R*S*R^-1*S ] C235.6 : Type {4,8}_312 Order 3744 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C235.7 : Type {4,8}_312 Order 3744 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C235.8 : Type {4,12}_78 Order 2808 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2*R^2*S^-1*R*S^-1*R ] C235.9 : Type {4,12}_78 Order 2808 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C235.10 : Type {4,40}_520 Order 2080 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^40 ] C235.11 : Type {4,40}_520 Order 2080 mV = 10 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*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, S^-5*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^2*R^-1*S^-6 ] C235.12 : Type {4,56}_56 Order 2016 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^56 ] C235.13 : Type {4,76}_494 Order 1976 mV = 19 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^19*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^11 ] C235.14 : Type {6,9}_78 Order 2106 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, S*R*S^-2*R*S^3, R*S^-1*R^2*S*R^-1*S*R^-1*S*R^3*S^-1*R*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R^2*S*R^-1*S*R^2*S^-1*R ] C235.15 : Type {6,9}_78 Order 2106 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-1*R^2*S^-1*R*S^-1*R^-2 ] C235.16 : Type {6,9}_234 Order 2106 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-2*S^-2*R^-1*S*R^-2*S*R*S^-1*R^-1*S*R^-2 ] C235.17 : Type {6,9}_234 Order 2106 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-1*R^2*S^-2*R^-1*S*R^-2 ] C235.18 : Type {6,12}_78 Order 1872 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, S*R*S^-2*R*S^-1*R*S^-2*R*S^2, S^12, R*S^-2*R^-1*S*R^-2*S^-1*R^2*S*R^-2*S^-1 ] C235.19 : Type {6,12}_78 Order 1872 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^3*R^-1*S ] C235.20 : Type {6,12}_312 Order 1872 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^3*R^2*S*R^-1*S^-1*R*S^2*R^-1*S ] C235.21 : Type {6,21}_546 Order 1638 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R*S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R, S^-21 ] C235.22 : Type {6,57}_494 Order 1482 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R*S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R, S^4*R*S^-4*R^-1*S*R*S^-1*R^-2*S^-1*R^2*S^-5*R^-1*S^3 ] C235.23 : Type {8,8}_78 Order 1872 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S ] C235.24 : Type {8,8}_78 Order 1872 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R*S^-2*R*S^-1*R^3*S^-2*R*S^-1*R*S^-1*R ] C235.25 : Type {8,8}_78 Order 1872 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R ] C235.26 : Type {8,8}_156 Order 1872 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R ] C235.27 : Type {8,20}_40 Order 1440 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-4*S^-1*R*S^-1, S^20 ] C235.28 : Type {8,72}_18 Order 1296 mV = 9 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^3*S^-1*R^-3*S*R^-2*S^-1, S^9*R^-3*S^-6*R*S^3 ] C235.29 : Type {9,36}_72 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, R*S^-2*R*S^-1*R^-2*S^-2*R*S^-3 ] C235.30 : Type {12,12}_78 Order 1404 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, R*S^-3*R^5*S^-1*R^4*S^2 ] C235.31 : Type {12,12}_78 Order 1404 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-2*R*S^-1*R^2*S*R^-1*S^-2*R^2*S*R^-1*S^-2*R ] C235.32 : Type {12,12}_78 Order 1404 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, R^2*S^-1*R^3*S^2*R^-1*S^-1, S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2*R^-2*S*R^-1 ] C235.33 : Type {12,18}_18 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S*R*S^-2*R^3*S^-2*R*S*R^-1, R^-2*S*R^5*S^-1*R*S^4 ] C235.34 : Type {12,24}_104 Order 1248 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-1*R^3*S^-1, S*R*S^-1*R^4*S*R^-2*S*R^-1, (R*S^-4*R)^2 ] C235.35 : Type {12,24}_104 Order 1248 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-1*R^2*S^-2 ] C235.36 : Type {12,24}_104 Order 1248 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^-2*R*S^-1*R, S*R*S^-2*R^3*S^5, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C235.37 : Type {12,24}_104 Order 1248 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^-2*R*S^-1*R, S^-1*R*S^-2*R^3*S^-5 ] C235.38 : Type {12,24}_104 Order 1248 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, R^-1*S*R^-1*S^2*R*S^-1*R^-2*S^2*R^-1*S^4 ] C235.39 : Type {12,24}_104 Order 1248 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-1*R*S^-2*R, S^-2*R^5*S^-3*R*S^-1, S^-1*R^-1*S*R*S^-1*R^3*S*R^-1*S*R^-2*S^-1 ] C235.40 : Type {12,24}_104 Order 1248 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, S^-2*R^2*S^-1*R^2*S^-5, R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2 ] C235.41 : Type {12,24}_104 Order 1248 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R^-2*S*R^-3*S^-1*R*S^2*R^-2 ] C235.42 : Type {12,24}_104 Order 1248 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R^-2*S*R^-1*S*R^-1*S^-1*R*S^2 ] C235.43 : Type {12,24}_104 Order 1248 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R^-2*S*R^-1*S^2*R^-2*S^-2 ] C235.44 : Type {15,30}_78 Order 1170 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S^-1*R*S^-3*R^-1*S^2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C235.45 : Type {39,78}_26 Order 1014 mV = 13 mF = 13 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R*S^-1*R*S^2*R^-1*S^2, S*R^-1*S*R^-2*S^2*R^-1*S^5*R^-1*S^5*R^-14*S*R^-2*S*R^-2 ] C235.46 : Type {40,40}_26 Order 1040 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^-2*S*R^-1*S^3*R^-1*S^2*R^-1*S^3*R^-1*S^2*R^-10*S^8*R^-2*S*R^-2 ] C235.47 : Type {40,40}_52 Order 1040 mV = 10 mF = 10 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-2*S^-2*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1*S, S^5*R^-1*S^2*R^-6*S*R^-1*S*R^-1*S*R^-1 ] C235.48 : Type {56,56}_6 Order 1008 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, R^35*S^-2*R^2*S^-2*R^15 ] C235.49 : Type {76,76}_26 Order 988 mV = 19 mF = 19 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, S*R^-1*S^2*R^-2*S*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] Genus 236 [None] Genus 237 C237.1 : Type {8,160}_160 Order 1280 mV = 40 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S^20*R^3*S^-2*R*S^18 ] Genus 238 C238.1 : Type {3,12}_474 Order 5688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-3*R^-1*S^3*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C238.2 : Type {6,6}_474 Order 2844 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^-3*R*S^-1*R^-2*S*R^-1*S^-1*R*S^3*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C238.3 : Type {6,6}_474 Order 2844 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-2*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-3*R^2*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S ] C238.4 : Type {6,12}_316 Order 1896 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^2*R*S^-1*R^-1*S*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1 ] C238.5 : Type {6,12}_316 Order 1896 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-2*S^-2*R^3*S*R^-1*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^2*S^2*R*S^-1 ] C238.6 : Type {9,18}_158 Order 1422 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^3*R^-1 ] C238.7 : Type {30,36}_180 Order 1080 mV = 6 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, S^-1*R^-1*S*R^5*S*R^-1*S^-1*R^3, S^-5*R^-1*S*R^-2*S^3*R^-1*S^-3 ] Genus 239 C239.1 : Type {4,32}_544 Order 2176 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^32 ] C239.2 : Type {4,32}_544 Order 2176 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R^-1, S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R^2*S^-2*R*S^2*R^-1*S^-1*R*S*R^-1*S^-2 ] C239.3 : Type {4,60}_510 Order 2040 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2, S^15*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-6*R^-1*S^3 ] C239.4 : Type {6,105}_70 Order 1470 mV = 35 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-18*R^2*S^-1*R*S*R^-1*S^-4*R*S*R^-1*S^-10 ] C239.5 : Type {8,12}_408 Order 1632 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C239.6 : Type {8,12}_408 Order 1632 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C239.7 : Type {8,40}_170 Order 1360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^2*R*S^-3*R^2*S^-4*R*S ] C239.8 : Type {8,40}_170 Order 1360 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-2*R^-2*S^-1*R^3*S^-1, S^-3*R^-1*S^2*R^2*S^3*R^-1*S^-2 ] C239.9 : Type {8,40}_170 Order 1360 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S^2*R^-2*S^2 ] C239.10 : Type {8,40}_340 Order 1360 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-2*S^2*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S^-3 ] C239.11 : Type {12,84}_14 Order 1176 mV = 14 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, R*S^-2*R^4*S^-1*R*S^-3, S^-2*R^-1*S^2*R*S^-3*R^2*S^-7 ] C239.12 : Type {12,84}_14 Order 1176 mV = 28 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^-1*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S^-2, R*S^-1*R^-1*S^6*R^-2*S*R^-1*S^-1*R*S^5 ] C239.13 : Type {32,32}_34 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-1*S^2, R^-2*S*R^3*S^-1*R*S^2, R^-1*S^5*R^-1*S*R^-4*S*R^-15*S*R^-3 ] C239.14 : Type {32,32}_34 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, S^-1*R^9*S^-5*R^2*S^-2*R^9*S^-4 ] C239.15 : Type {32,32}_34 Order 1088 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^6*S^2*R^-2*S, R*S^-1*R^10*S^-8*R^7*S^-1*R*S^-1*R*S^-1 ] C239.16 : Type {32,32}_34 Order 1088 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^2, S^-3*R*S^-7*R^12*S^-8*R ] C239.17 : Type {32,32}_68 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-3*R^2*S^2*R^-1*S^2, R^11*S^-3*R*S^-1 ] C239.18 : Type {32,32}_68 Order 1088 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R^-1*S*R^3*S*R^-1*S^-3, S^4*R^3*S^-2*R*S^2, S^-1*R^2*S^-1*R^5*S^-3*R*S^-3 ] C239.19 : Type {32,32}_68 Order 1088 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S^3*R^4*S^-1*R*S^2*R^-1, R^2*S^-1*R^6*S^-1*R^2*S^-1*R*S^-1*R ] C239.20 : Type {32,32}_68 Order 1088 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-2*R ] C239.21 : Type {60,60}_34 Order 1020 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, S^-1*R^2*S^-2*R*S^-1*R^12*S^-2*R*S^-3*R*S^-1*R*S^-1*R ] C239.22 : Type {72,72}_14 Order 1008 mV = 24 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, R^-1*S*R^-38*S^3*R^-1*S^4*R^-1*S^2*R^-10*S^2*R^-9 ] C239.23 : Type {72,72}_28 Order 1008 mV = 24 mF = 12 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-2*S, R^-1*S*R^-9*S*R^-1*S*R^-1*S^3*R^-12*S*R^-1*S*R^-3 ] Genus 240 [None] Genus 241 C241.1 : Type {3,21}_16 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-6*R*S^7, (S^-3*R*S^-2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S, S^-2*R*S^-3*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-1 ] C241.2 : Type {4,5}_60 Order 9600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, (R*S)^2, R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2, (R*S^-1)^12 ] C241.3 : Type {4,6}_40 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, R^-1*S^-3*R^-2*S^-3*R*S^-1*R^-2*S^3*R^2*S^3*R^2*S ] C241.4 : Type {4,12}_10 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S^12, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C241.5 : Type {4,12}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S^12, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1, (R*S^-1)^8, S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^-1*R*S^-2*R*S^-1 ] C241.6 : Type {4,12}_40 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^12, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C241.7 : Type {4,14}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^6, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, (R*S^-6)^2, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^14, S^-1*R*S^-1*R^-1*S*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^-1 ] C241.8 : Type {4,14}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^6, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, (R*S^-6)^2, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^14, S^2*R^-1*S*R*S^-2*R*S^-1*R*S^-3*R*S*R^-1*S*R^-1 ] C241.9 : Type {4,14}_16 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^6, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^14, R*S^-3*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1, S^-2*R*S^-1*R^-1*S*R*S^-1*R^-2*S^3*R^-1*S^-1*R*S^-2 ] C241.10 : Type {4,14}_16 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (S^-1*R)^3, S^14, S*R*S^-1*R^-1*S^4*R*S^-3*R*S*R^-1*S^-2*R*S^2 ] C241.11 : Type {4,16}_10 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-2*R^-1*S^2*R*S^-1*R*S^3*R^-1*S^-2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1, S^-1*R*S^-2*R*S^-1*R*S^-1*R*S^-2*R*S^-3*R ] C241.12 : Type {4,16}_20 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S, S^16 ] C241.13 : Type {4,16}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S*R*S^-1*R^-1*S*R*S^-2*R*S^3*R^-1*S^-1*R*S, S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-1 ] C241.14 : Type {4,16}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S*R*S^-1*R^-1*S*R*S^-2*R*S^-3*R*S*R^-1*S ] C241.15 : Type {4,16}_20 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-2*R^-1*S^2*R*S^-1*R*S^-4*R*S^-1 ] C241.16 : Type {4,16}_40 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^2*R*S^-2*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S, S^16 ] C241.17 : Type {4,16}_40 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, (R*S^-3*R*S^-1*R*S^-1)^2, S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R ] C241.18 : Type {4,16}_40 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, (R*S^-3*R*S^-1*R*S^-1)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2 ] C241.19 : Type {4,16}_40 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, (R*S^-2)^4, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.20 : Type {4,16}_40 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^3*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1 ] C241.21 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^16, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2 ] C241.22 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^16, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2 ] C241.23 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^16, R*S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C241.24 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, (R*S^-3*R*S^-1*R*S^-1)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2 ] C241.25 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^16, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C241.26 : Type {4,16}_80 Order 2560 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, (R*S^-3*R*S^-1*R*S^-1)^2, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2 ] C241.27 : Type {4,16}_80 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R*S^-1 ] C241.28 : Type {4,16}_80 Order 2560 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, (R*S^-2)^4, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C241.29 : Type {4,20}_30 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S^2*R*S^-1*R*S^-2*R*S^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1 ] C241.30 : Type {4,28}_280 Order 2240 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S^28 ] C241.31 : Type {4,52}_260 Order 2080 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^52 ] C241.32 : Type {4,100}_100 Order 2000 mV = 25 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^100 ] C241.33 : Type {4,196}_490 Order 1960 mV = 49 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^49*R^2*S^2*R^-1*S^-6*R*S^41 ] C241.34 : Type {5,5}_12 Order 4800 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R^2*S*R^-1*S^-2*R*S^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-2*S^-2 ] C241.35 : Type {6,6}_16 Order 2880 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, S*R^-1*S^-3*R*S^-1*R^3*S*R^-2*S*R^-1*S ] C241.36 : Type {6,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2, (R*S^-1)^6, S^-1*R^-1*S^2*R*S^-1*R^2*S^2*R^-1*S^-2*R ] C241.37 : Type {6,8}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R^-2*S*R*S^-1*R^3*S*R^-2*S^-2*R, R*S^-2*R^2*S^-2*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C241.38 : Type {6,8}_16 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S ] C241.39 : Type {6,8}_16 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2, S^-1*R^-1*S^2*R*S^-1*R^2*S^2*R^-1*S^-2*R, R*S^-1*R^-2*S*R*S^-2*R^2*S*R^-2*S^-3 ] C241.40 : Type {6,8}_16 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R^-2*S*R*S^-1*R^3*S*R^-2*S*R^-1*S^-1, R*S^-2*R^2*S^-2*R^2*S*R^-1*S^2*R^-2*S^-1 ] C241.41 : Type {6,18}_18 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^6, S^2*R*S^-1*R*S^-1*R*S^-3*R*S, (R*S^-2)^4, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S ] C241.42 : Type {6,18}_36 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^2*R*S^-1*R^-2*S*R^3*S*R^-2*S^3 ] C241.43 : Type {6,18}_36 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, R*S^-3*R^-3*S^-1*R^2*S^-2, S^18 ] C241.44 : Type {6,18}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, R^-1*S^2*R*S^-1*R^-3*S^-1*R^2*S^-1*R*S, S^18 ] C241.45 : Type {6,18}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S ] C241.46 : Type {6,18}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, R^-1*S^2*R*S^-1*R^-2*S^-1*R*S*R^-2*S*R^-1 ] C241.47 : Type {6,18}_72 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^-1*R^-2*S*R^2*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-1 ] C241.48 : Type {6,18}_72 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^18, S*R^2*S^2*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S^-2*R^-1 ] C241.49 : Type {6,48}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-2)^4, (R*S^-5)^2, S*R^2*S^-2*R^-2*S*R^-2*S^-1*R^2*S, S^2*R*S^-1*R^-1*S*R^-1*S^-1*R*S*R^-2*S^2 ] C241.50 : Type {6,48}_16 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, R^-1*S^2*R*S^-1*R^-3*S^-1*R^2*S^-1*R*S, S^-2*R^-1*S^7*R^2*S^4*R^-1*S^-3 ] C241.51 : Type {6,63}_252 Order 1512 mV = 21 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R^-1*S*R^2*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1*R*S*R^-1, S^-4*R^-1*S^7*R^3*S^-1*R^2*S^-8*R^-2*S^-1 ] C241.52 : Type {6,243}_486 Order 1458 mV = 81 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-41*R^-2*S^-1*R^2*S^-39 ] C241.53 : Type {8,24}_20 Order 1440 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^-3*R*S, S^2*R^-1*S*R^-1*S*R^2*S^-1*R*S^-2*R*S, S^-6*R^-4*S^-6 ] C241.54 : Type {8,24}_20 Order 1440 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R^2*S^-3*R*S, S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^-1, S^-6*R^-4*S^-6 ] C241.55 : Type {9,30}_18 Order 1350 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S*R^-1*S^2*R^2*S^2*R^-1*S, S^-1*R^2*S^4*R*S^-5*R^-2*S^6*R^-1*S^-4 ] C241.56 : Type {12,12}_8 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, R*S^-2*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1, S*R^-1*S*R^5*S*R^-1*S*R^-1*S*R^-1 ] C241.57 : Type {12,12}_8 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^5, R^12, S^-1*R^6*S^-5, R*S^-2*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1 ] C241.58 : Type {12,12}_30 Order 1440 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, R^12, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^12, S*R*S^-1*R^-1*S*R^3*S*R^-1*S^4 ] C241.59 : Type {12,12}_30 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, R^12, R*S^-1*R^5*S^-2*R^2*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1 ] C241.60 : Type {12,12}_60 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^-2*R^2*S^-1, R^3*S^-1*R^3*S^-5, (R*S^-3*R*S^-1)^2 ] C241.61 : Type {12,12}_60 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, R^12, R^2*S^-1*R^4*S^-3*R^2, R*S^-2*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C241.62 : Type {12,12}_60 Order 1440 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^12, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C241.63 : Type {12,60}_20 Order 1200 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-2*R, S^10*R*S^-3*R*S^7 ] C241.64 : Type {16,16}_10 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^3*S^-3*R, (R*S^-1*R)^4 ] C241.65 : Type {16,16}_10 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^2*R^5*S*R^-1*S*R^-1*S, S*R^-1*S*R^4*S^-1*R*S^3 ] C241.66 : Type {16,16}_20 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-3*R^3*S^-2*R^2, (S^-1*R)^5, (R*S^-1*R)^4 ] C241.67 : Type {16,16}_20 Order 1280 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^2*R^5*S^3*R^-2, S*R^-1*S*R^4*S^-1*R*S^3 ] C241.68 : Type {16,16}_20 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R, R^16 ] C241.69 : Type {16,16}_20 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R^-1*S^2*R^-5*S^-1*R*S^2, R^-1*S*R^2*S^-2*R^-1*S*R^-2*S^2*R^-1*S*R^-1*S ] C241.70 : Type {16,16}_20 Order 1280 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R*S^4, S*R^7*S^3*R^-1*S^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.71 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S*R^2*S^-2*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-2, R^16 ] C241.72 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.73 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R^-1*S^2*R^-5*S^-1*R*S^2, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.74 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R^-1*S^2*R^-5*S^-1*R*S^2, R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S^2*R^-1*S*R^-1*S ] C241.75 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.76 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, S^2*R*S^-1*R^2*S^-1*R*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1 ] C241.77 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^-1*R*S^-1*R^-2*S*R^-1*S^2*R^2*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R*S^-1*R ] C241.78 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R^-1*S^2*R^-5*S^-1*R*S^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.79 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S*R^-1*S*R^-1*S*R^-1*S^2*R^2*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^2*S*R^-1 ] C241.80 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, S^-1*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^2*R^-2*S^-2*R^-1*S*R ] C241.81 : Type {16,16}_40 Order 1280 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-3*R*S^4, S*R^7*S^3*R^-1*S^2, R^-1*S*R^2*S^-2*R^-1*S*R^-2*S^2*R^-1*S*R^-1*S ] C241.82 : Type {16,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^16, (R*S^-1*R^6)^2 ] C241.83 : Type {16,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1, R^16 ] C241.84 : Type {16,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-2*S*R^3*S^-2*R^2*S^-2 ] C241.85 : Type {16,16}_80 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-2*S*R^3*S*R^-1*S^-1*R*S^2, R^16 ] C241.86 : Type {16,16}_80 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, R^16, S^16 ] C241.87 : Type {16,16}_80 Order 1280 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S^2*R^-2*S^2*R^-2*S^2*R^-1, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C241.88 : Type {16,16}_80 Order 1280 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R*S^3, R^16 ] C241.89 : Type {16,48}_8 Order 1152 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^-1 ] C241.90 : Type {16,112}_70 Order 1120 mV = 28 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R^16, R^-1*S*R*S^-6*R^-1*S^5*R^-1*S^-2 ] C241.91 : Type {16,112}_140 Order 1120 mV = 28 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R^16, R^-1*S^5*R*S^-1*R*S^6*R^-1*S^-2 ] C241.92 : Type {18,36}_8 Order 1152 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S^3, R^-1*S*R^-1*S*R^3*S^-2*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^7*S*R^-5, S^3*R^-1*S*R^-2*S*R^-5*S^3*R^-2 ] C241.93 : Type {18,36}_8 Order 1152 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S^3, S*R*S^-2*R^3*S^3*R^-2, R^-1*S*R^-1*S^3*R^-6*S*R^-4*S ] C241.94 : Type {20,20}_30 Order 1200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^-1*S^2*R^3*S^-2*R*S, (R*S^-1*R*S^-1*R^2)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1 ] C241.95 : Type {28,28}_20 Order 1120 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^-2*R*S, R^10*S^-1*R*S^-2 ] C241.96 : Type {28,28}_20 Order 1120 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, R*S^-4*R^14*S^-8*R ] C241.97 : Type {30,45}_36 Order 1080 mV = 15 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^-1*S*R^-2*S*R^3*S^-1*R*S*R^-1*S^-2, S^2*R^-6*S^7 ] C241.98 : Type {36,36}_30 Order 1080 mV = 9 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S*R*S^-3*R*S^4, R*S^-3*R^12*S^-2*R^2*S^-3*R^9*S^-1*R^2*S^-1 ] C241.99 : Type {52,52}_20 Order 1040 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-2*R^18*S^-2*R^2*S^-1*R*S^-5*R^10*S^-2*R*S^-3*R*S^-1*R^3 ] C241.100 : Type {63,126}_4 Order 1008 mV = 18 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R*S^-1*R*S^-44*R*S^-1*R^10*S^-1*R*S^-1*R ] C241.101 : Type {64,64}_32 Order 1024 mV = 8 mF = 16 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-2*R^3*S^5, R^3*S^-1*R^2*S^-1*R^3*S^-1*R^10*S^-3*R^3*S^-2*R^3 ] C241.102 : Type {100,100}_10 Order 1000 mV = 25 mF = 25 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-63*S^4*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C241.103 : Type {196,196}_10 Order 980 mV = 49 mF = 49 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-61*S^4*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] Genus 242 C242.1 : Type {5,10}_482 Order 2410 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-4*R*S^-2*R^-1*S*R^-2*S^-1*R*S^-4*R ] C242.2 : Type {5,10}_482 Order 2410 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-1*S^5*R ] C242.3 : Type {6,6}_482 Order 2892 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^3*R^-1*S^2*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C242.4 : Type {8,8}_482 Order 1928 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^2*S^-4*R^-3*S*R^-1*S^3*R^-1*S ] Genus 243 C243.1 : Type {4,8}_8 Order 3872 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, R^-1*S*R^-1*S*R^-1*S^-4*R^2*S*R^-1*S^4*R^2*S ] C243.2 : Type {8,8}_22 Order 1936 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^-1*R^-1*S*R*S^-1*R^4*S*R^-1*S^4*R ] Genus 244 C244.1 : Type {3,8}_36 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S^-1*R^-1*S^2*R^-1*S^3*R^-1*S^3*R^-1*S^3*R^-1*S^3*R^-1*S^2*R^-1*S^-1, S*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S ] C244.2 : Type {3,8}_36 Order 11664 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S, S*R*S^-1*R*S^-3*R*S^-4*R^-1*S^2*R^-1*S^-2*R*S^4*R^-1*S^3*R^-1*S^2 ] C244.3 : Type {3,18}_18 Order 4374 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5*R*S^-2)^2, S^18, S^-2*R^-1*S^3*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-4*R*S^-1 ] C244.4 : Type {3,18}_54 Order 4374 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5*R*S^-2)^2, S^18, S^-1*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^3*R^-1*S^-2*R*S^-2 ] C244.5 : Type {3,18}_54 Order 4374 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5*R*S^-2)^2, S^18, S*R^-1*S^3*R*S^-3*R^-1*S^3*R^-1*S^-3*R*S^-2*R*S ] C244.6 : Type {3,18}_54 Order 4374 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^18, S^-1*R*S^-2*R^-1*S^2*R*S^-2*R*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R^-1*S^-3*R*S^-2*R*S^-1 ] C244.7 : Type {3,24}_12 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-2)^6, S^-1*R*S^-5*R^-1*S^2*R^2*S^-2*R*S^4*R^-1*S^-2 ] C244.8 : Type {3,24}_36 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^3*R^-1*S, S^-1*R^-1*S^7*R*S^-1*R*S^-8*R*S^-1 ] C244.9 : Type {3,24}_36 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^-1*R^-1*S^7*R*S^-1*R*S^-8*R*S^-1, S^-4*R*S^-2*R*S^-2*R*S^-4*R*S^-3*R*S^-1 ] C244.10 : Type {3,24}_36 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-7*R*S^8, S^-1*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-3 ] C244.11 : Type {4,5}_18 Order 9720 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, (R*S)^2, R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-2*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C244.12 : Type {4,6}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S, S*R^-1*S^-2*R*S^-3*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^3*R^-1, R*S^-2*R^-2*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^3*R^2*S^-2 ] C244.13 : Type {4,6}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R*S^-3*R^-1*S*R*S^-1*R*S^3*R^2*S^-2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C244.14 : Type {4,6}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-1)^6, S^-1*R^-1*S*R^-2*S^-3*R*S^-1*R*S*R^-1*S^-1*R*S^3*R*S^-1 ] C244.15 : Type {4,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S^4*R^2*S^-1, S*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S^2 ] C244.16 : Type {4,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-1)^6, S^-2*R^-2*S^-4*R^2*S^4*R^2*S^-2, S*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S^2 ] C244.17 : Type {4,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S^4*R^2*S^-1, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^-2*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S*R^-1*S^-1 ] C244.18 : Type {4,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S*R*S^-1*R*S^-2*R^-2*S^-1*R*S^-2*R*S*R^-1*S^-1, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-2*R*S ] C244.19 : Type {4,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^-1*R*S^2 ] C244.20 : Type {4,12}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, S^-3*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S^-2*R, S*R^-1*S*R*S^-4*R^2*S*R^-1*S^4 ] C244.21 : Type {4,40}_120 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-1)^6, S^-4*R^-1*S^6*R*S^-3*R*S*R^-1*S^-2*R*S^2*R^-1*S^-2 ] C244.22 : Type {5,5}_18 Order 4860 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, (R*S)^2, R*S^2*R^2*S^-1*R^2*S^-1*R*S^-2*R*S^-1, (S^-1*R)^9 ] C244.23 : Type {6,6}_6 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S ] C244.24 : Type {6,6}_18 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-1*S^-3*R^3*S*R^-2*S, (R*S^-1)^6 ] C244.25 : Type {6,6}_18 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, (R*S^-1)^6, S^-1*R^-2*S*R^2*S^-1*R^3*S^-1*R^2*S*R^-2*S^-1*R, S*R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^2*R^-1*S ] C244.26 : Type {6,6}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1, (R*S^-1)^6, S^-2*R^-3*S^-3*R^2*S*R^-1*S^-1*R*S^-1*R ] C244.27 : Type {6,6}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^6, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S, R*S^-1*R^-2*S*R*S^-1*R^2*S^3*R^-2*S^-2, S^-2*R^-2*S*R*S^-1*R^-2*S^-1*R*S^-2*R*S^-1*R ] C244.28 : Type {6,6}_18 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1, (R*S^-1)^6, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S, S^-1*R^-2*S*R^2*S^-1*R^3*S^-1*R^2*S*R^-2*S^-1*R ] C244.29 : Type {6,12}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^2, S^12 ] C244.30 : Type {6,12}_36 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-3*S^-3*R*S^-1, (R*S^-1)^6, S^12, R*S^-3*R^-1*S*R^2*S^-2*R*S*R^-1*S^-1 ] C244.31 : Type {6,12}_36 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^-3*S^-1*R^2*S^-2, (R*S^-1)^6, S^12, S^-1*R^2*S^-1*R^-1*S*R*S^-1*R^3*S^-4*R ] C244.32 : Type {8,8}_6 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R^3*S^-1)^3, S*R^-1*S^2*R^3*S^-2*R*S*R^-1 ] C244.33 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-1*S^2*R^3*S^-2*R*S*R^-1, S^-1*R^3*S^-1*R^-3*S^-1*R*S*R^-1*S^-1*R ] C244.34 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-2*S*R^3*S^-2*R*S^2, S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-2*R, S^-1*R^3*S^-1*R^-3*S^-1*R*S*R^-1*S^-1*R ] C244.35 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S*R^-1*S^-1, S*R^2*S^-2*R^3*S^2*R^-1*S^-1*R*S ] C244.36 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-2 ] C244.37 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R^-3*S^4*R ] C244.38 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^2*R^4*S^-2*R^2*S, S^-1*R^2*S^-1*R^3*S^-1*R*S^-1*R*S^-1 ] C244.39 : Type {8,8}_18 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-1*R^-4*S^-1*R^3*S, S^-2*R^-1*S^2*R^-2*S^4*R*S^-1*R ] C244.40 : Type {9,18}_6 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, S*R*S^-1*R^3*S^2*R^-2, S^2*R*S^-2*R^-1*S^2*R*S^-3*R*S^3 ] C244.41 : Type {9,18}_6 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (S*R^-1*S)^3, R*S^-3*R^3*S^-1*R*S*R^-1*S, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S ] C244.42 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^3*R*S^-1*R^2*S^-1*R*S^3 ] C244.43 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R*S^-1*R^2*S^-1*R*S^3, R^-1*S^2*R^-4*S*R^-1*S^-1*R*S^2 ] C244.44 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R*S^-1*R^2*S^-1*R*S^3, S*R^-1*S*R^-4*S^-1*R*S^2*R^-1*S ] C244.45 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-2*R^2*S*R^-1*S^2*R^-1, S^2*R*S^-2*R^-1*S^2*R*S^-3*R*S^3 ] C244.46 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, R*S^-1*R^-1*S^3*R^2*S^-1*R*S^-7 ] C244.47 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-3*R^2)^2, S^-3*R*S^-1*R^2*S^-1*R*S^-3, R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1 ] C244.48 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-3*R^2)^2, S^-3*R*S^-1*R^2*S^-1*R*S^-3, S^-1*R^-1*S*R^-4*S^2*R^-1*S*R^-1*S^-1 ] C244.49 : Type {9,18}_18 Order 1458 mV = 1 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-3*R^2)^2, S^-3*R*S^-1*R^2*S^-1*R*S^-3, S*R*S^-1*R^-4*S*R^-1*S^2*R^-1*S ] C244.50 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R*S^-2*R^-1*S^2*R*S^-3*R*S^3 ] C244.51 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^2*R*S^-2*R^-1*S^2*R*S^-3*R*S^3 ] C244.52 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^2*R*S^-4*R*S^-1*R^-2*S^-1*R*S*R^-1*S^3 ] C244.53 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^-2*R^-1*S^2*R*S^-2*R^2*S^3*R^-1*S^-3 ] C244.54 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^6*R^-2*S^-5*R*S, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^3*R^-1*S ] C244.55 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, R*S^-5*R^-2*S^7, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2 ] C244.56 : Type {9,18}_18 Order 1458 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, R*S^-5*R^-2*S^7, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S*R*S^-2*R^-1*S^2*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-2*R*S^2 ] C244.57 : Type {9,18}_18 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^-2*R*S^-2*R*S*R^-1*S^-1 ] C244.58 : Type {9,18}_18 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, R^3*S^-1*R^3*S^-5, S^-1*R*S^-1*R*S^-3*R*S^-1*R^-2*S^-2*R*S^2*R^-1*S^-2 ] C244.59 : Type {9,18}_18 Order 1458 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S*R*S^-5*R*S^6, S^-2*R*S^-4*R^-2*S^-4*R*S^-2, S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S^-2 ] C244.60 : Type {9,72}_36 Order 1296 mV = 6 mF = 1 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S^-1*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-4 ] C244.61 : Type {12,24}_8 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S^2*R^-3, R^2*S^-1*R*S^-1*R^2*S^-1*R*S^3 ] C244.62 : Type {12,24}_24 Order 1296 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-3*R*S^-1*R^2*S^-3*R*S^-1, S^-2*R^-1*S^5*R^-2*S^2*R^-1*S^-3 ] C244.63 : Type {12,24}_24 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S^2*R^-3, R^-1*S^3*R^3*S*R^-1*S^2*R^-1 ] C244.64 : Type {12,24}_24 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^3*R^-1, R^12, S*R*S^-1*R^4*S^2*R^-3 ] C244.65 : Type {12,24}_24 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, R^12, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-1)^6, (R*S^-2)^4, S^-2*R^-1*S^5*R^-1*S^-4*R^2*S^-1 ] C244.66 : Type {12,24}_24 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, R^12, S^-3*R*S^-1*R^2*S^-3*R*S^-1, R^3*S^-5*R^-1*S^4*R^-1*S^-1*R*S^2 ] C244.67 : Type {12,24}_24 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, R^12, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, R*S^-4*R^2*S*R^-1*S^-3, S^-2*R^-1*S^5*R^-1*S^-3*R*S*R^-1*S^-1 ] C244.68 : Type {12,24}_24 Order 1296 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-3*R^4*S^-5, (R*S^-1*R*S^-2*R)^2, S^-2*R*S^-2*R^2*S^2*R^-1*S^-2 ] C244.69 : Type {16,16}_6 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^4*R^-1, S*R^2*S^-1*R^3*S^3*R^-1*S, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, R*S^-1*R^6*S*R^-2*S^-1*R^2 ] C244.70 : Type {18,63}_126 Order 1134 mV = 7 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^18, S^-11*R^-2*S^-1*R*S^5*R^-1*S^-4 ] C244.71 : Type {40,40}_6 Order 1080 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-1*R^-1*S*R^4*S*R^-3*S^-1, R*S^-2*R^10*S^-1*R^2*S^-1*R^2*S^-1 ] Genus 245 C245.1 : Type {4,8}_244 Order 3904 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C245.2 : Type {4,8}_488 Order 3904 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C245.3 : Type {4,12}_732 Order 2928 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-2*R^-1*S*R*S^-1*R^-2*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1 ] C245.4 : Type {4,20}_610 Order 2440 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R*S^2*R^-1*S^-2*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1 ] C245.5 : Type {6,6}_244 Order 2928 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R*S^-1*R^-1*S*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R^2*S*R^-1*S^3*R*S^-2*R^-1*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S ] C245.6 : Type {6,15}_610 Order 1830 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R*S^2*R*S^-1*R^-2*S*R^2*S^-1*R^-3*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-1*S*R ] C245.7 : Type {8,8}_244 Order 1952 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^2*R^2*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^-1 ] C245.8 : Type {8,8}_244 Order 1952 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^2*R^2*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^-1 ] C245.9 : Type {12,12}_122 Order 1464 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, (R*S^-1*R)^4, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^3*R*S^-1*R^3*S*R^-1*S^-1*R*S^2 ] C245.10 : Type {12,12}_122 Order 1464 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-3*R^2*S*R^-1*S^-2*R*S^2*R^-1*S^-3*R*S^-1 ] C245.11 : Type {12,12}_122 Order 1464 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R ] C245.12 : Type {20,20}_122 Order 1220 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^5, R^-1*S^2*R^4*S^-1*R*S^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C245.13 : Type {20,20}_122 Order 1220 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, (S^-1*R)^5 ] C245.14 : Type {20,20}_122 Order 1220 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S*R^-1*S^2*R^2*S^-1*R*S^-2*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S ] C245.15 : Type {126,126}_4 Order 1008 mV = 18 mF = 18 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^94*R^-1*S*R^-13*S^12*R^-2*S ] Genus 246 C246.1 : Type {6,8}_24 Order 2352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1, S^-1*R^-2*S*R^2*S^-1*R^3*S^-1*R^2*S*R^-2*S^-1*R, R*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1*R*S^-1 ] C246.2 : Type {10,125}_250 Order 1250 mV = 25 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R*S^-1*R^4*S^-1*R*S^-2, S^-13*R^2*S^-1*R*S*R^-1*S^-10 ] C246.3 : Type {10,125}_250 Order 1250 mV = 25 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R*S^-1*R^4*S^-1*R*S^-2, S^-13*R^-2*S^-6*R^2*S^-6 ] C246.4 : Type {24,24}_14 Order 1176 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^4*S^-1*R*S^-2*R, (R^3*S^-1)^3, R*S^-1*R*S^-1*R^3*S^-5 ] Genus 247 C247.1 : Type {4,16}_656 Order 2624 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R^-1 ] C247.2 : Type {4,16}_656 Order 2624 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R^2*S^-1 ] C247.3 : Type {4,28}_574 Order 2296 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1, S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^3*R*S^-1 ] C247.4 : Type {12,27}_216 Order 1296 mV = 9 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, R^-1*S*R*S^-1*R^2*S^-1*R^3*S*R^-1*S^-5 ] C247.5 : Type {15,30}_82 Order 1230 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^3*S^-1*R^3*S^2*R^-1*S*R^-1*S, S*R*S^-1*R*S^-1*R^3*S*R^-1*S*R^-2*S, R^-15 ] C247.6 : Type {15,30}_82 Order 1230 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-4, R^-1*S*R^-1*S*R^3*S*R^-1*S^-3, R^-15 ] C247.7 : Type {16,16}_82 Order 1312 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-3*S, R^16 ] C247.8 : Type {16,16}_82 Order 1312 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S^-1*R*S^-1*R ] C247.9 : Type {16,16}_164 Order 1312 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, R^2*S^-1*R^4*S*R^-1*S^-2*R ] C247.10 : Type {16,16}_164 Order 1312 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1 ] C247.11 : Type {28,28}_82 Order 1148 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^2*S^-2*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-2 ] C247.12 : Type {36,60}_90 Order 1080 mV = 10 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, S^2*R*S^-1*R^-1*S^2*R^-2*S^2*R^-2*S^3 ] Genus 248 C248.1 : Type {6,6}_494 Order 2964 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S*R^-1*S^-3*R^-1*S*R^-1*S^3*R^-2*S^-1*R^2*S ] C248.2 : Type {6,6}_494 Order 2964 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-2*R^-1*S*R^-1*S*R^-1*S^-3*R^-2*S^-1*R*S*R^-1*S^-1*R ] C248.3 : Type {6,6}_494 Order 2964 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-2*R^3*S*R^-1*S^-2*R^2*S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-2*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R ] C248.4 : Type {6,6}_494 Order 2964 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R ] C248.5 : Type {6,42}_266 Order 1596 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^2*R^-1*S^2*R^-1*S*R^2*S^2*R^-1*S^3*R^-1, S^4*R*S^-1*R^2*S^-1*R*S^8 ] C248.6 : Type {6,42}_266 Order 1596 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^-3*S*R^-1*S^-8 ] C248.7 : Type {6,60}_260 Order 1560 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^10*R*S^-1*R^2*S^-1*R*S^8 ] C248.8 : Type {6,60}_260 Order 1560 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R*S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R, S^7*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R^2*S^-3*R*S^4 ] C248.9 : Type {12,48}_208 Order 1248 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, S*R^-2*S*R^4*S^6, R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2 ] C248.10 : Type {12,48}_208 Order 1248 mV = 16 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R^-2*S*R^-3*S^-1*R^2*S^-1*R*S ] C248.11 : Type {18,45}_130 Order 1170 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R^-2*S*R^-3*S^-1*R*S^2*R^-2 ] C248.12 : Type {30,30}_38 Order 1140 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, R^-1*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-1*S^-1*R*S, R^7*S^-2*R^10*S^-2*R*S^-4*R*S^-1*R*S^-1 ] C248.13 : Type {42,42}_26 Order 1092 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^-2*S*R^3*S^-1*R^2*S*R^-1, R^-3*S^6*R^-1*S^2*R^-1*S^5*R^-15*S*R^-1*S^2*R^-2*S^2*R^-1 ] Genus 249 C249.1 : Type {3,12}_248 Order 5952 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C249.2 : Type {6,6}_248 Order 2976 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^2*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S ] C249.3 : Type {12,12}_124 Order 1488 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, S*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^3*R^-1*S^2*R^-1*S ] C249.4 : Type {16,20}_40 Order 1280 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^3*S*R^-2*S^-1, S^20 ] C249.5 : Type {16,144}_72 Order 1152 mV = 36 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^18*R^2*S*R^-2*S^17 ] C249.6 : Type {20,20}_62 Order 1240 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^-1*S*R*S^-1*R^2*S^2*R^-2*S^-1, S^-1*R^14*S^-1*R^4 ] C249.7 : Type {20,20}_62 Order 1240 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S*R^6*S*R^-4, R^2*S^-2*R*S^-3*R*S^-1*R^6*S^-1*R^2*S^-1 ] Genus 250 C250.1 : Type {6,252}_252 Order 1512 mV = 84 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^42*R^3*S^-1*R*S^41 ] C250.2 : Type {30,180}_36 Order 1080 mV = 60 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-2*R^-1*S^4*R^-3*S^-6, R^-1*S*R^-2*S*R^-1*S*R^-14*S^2*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C250.3 : Type {45,60}_18 Order 1080 mV = 5 mF = 15 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R*S^-2*R^4*S^5*R^-1, R^-11*S*R^-2*S ] C250.4 : Type {114,171}_18 Order 1026 mV = 57 mF = 19 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S^4, R*S^-33*R*S^-1*R^2*S^-1*R*S^-2*R^10*S^-2*R*S^-2 ] Genus 251 C251.1 : Type {3,8}_30 Order 12000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S^-1*R^-1*S^2*R^-1*S^2*R^-1*S^-4*R^-1*S^2*R^2*S^3*R^-1*S^2*R^-1*S^3*R^-1*S^-2*R*S^-1, S*R^-1*S^2*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^4*R^-1*S^2*R^-1*S^2*R^-1*S, S^-2*R^-1*S*R^-1*S^3*R^-1*S^-4*R*S^-2*R^-1*S^2*R^-1*S^4*R*S^-1*R*S^3*R^-1*S^-2 ] C251.2 : Type {3,12}_40 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, S^-1*R*S^-4*R*S^-4*R^-1*S^4*R^-1*S^3*R^-1*S^-2 ] C251.3 : Type {4,6}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1, R*S^-2*R^-2*S^2*R^-1*S^-3*R*S^-1*R*S*R^-1*S^3*R*S^-2, R*S^-2*R*S^-1*R*S^-3*R^-2*S^-1*R*S*R^-1*S^3*R^2*S*R^-1*S^-2 ] C251.4 : Type {4,6}_30 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^-1*R^-1*S*R^3*S^3*R*S^-2*R^2*S*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2 ] C251.5 : Type {4,8}_8 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^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*S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S^4*R^2*S^-3, (R*S^-3*R*S^-1*R*S^-1)^2, S^-1*R^-1*S*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C251.6 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-1*R*S*R^-1*S^-1, S^-1*R^-2*S^-4*R^-1*S*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1, S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^4*R^-1*S ] C251.7 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3*R*S^-1*R*S^-1)^2, S^-2*R*S^-4*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S^-1, S^2*R*S^-1*R^-1*S^2*R^-1*S*R^2*S^4*R^2*S*R^-1*S ] C251.8 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-1)^4, R*S^-4*R^-1*S*R^-1*S^-2*R*S^-3 ] C251.9 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S^4*R^2*S^-3, (R*S^-3*R*S^-1*R*S^-1)^2, R*S^-4*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1 ] C251.10 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2, S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^-1*R*S^4*R, S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^4*R^-1*S ] C251.11 : Type {4,8}_40 Order 4000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3*R*S^-1*R*S^-1)^2, S^2*R*S^-1*R^-1*S^2*R^-1*S*R^2*S^4*R^2*S*R^-1*S, S^-1*R*S^-4*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2 ] C251.12 : Type {4,8}_200 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S ] C251.13 : Type {4,8}_200 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C251.14 : Type {4,8}_1000 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C251.15 : Type {4,8}_1000 Order 4000 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C251.16 : Type {4,12}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R*S^2*R^-1*S^-1*R*S^-2, R*S^-1*R*S^-4*R^-1*S^2*R^-1*S^-1*R*S^-1*R*S^-1 ] C251.17 : Type {4,12}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S^4*R^-1, S^-3*R^-1*S*R*S^-2*R^2*S^2*R^-1*S^-1*R*S^-3 ] C251.18 : Type {4,12}_30 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, S^2*R^-1*S^2*R^-1*S*R^2*S^3*R^-1*S^-1*R*S ] C251.19 : Type {4,12}_150 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R^2*S^2*R*S^-1*R*S^-1*R ] C251.20 : Type {4,12}_750 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S*R^-1*S*R*S^-1*R^-2*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^-2*R^-1 ] C251.21 : Type {4,20}_10 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (S^-1*R)^5, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S*R^-1*S^-1*R*S^3, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1, S^-1*R*S^-3*R*S^-1*R^-1*S^7*R^-1*S^-2 ] C251.22 : Type {4,20}_50 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-2*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^2, R*S^-4*R^-1*S*R^2*S^3*R^-1*S^-1*R*S^-1 ] C251.23 : Type {4,20}_50 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-4*R^-1*S*R^2*S^3*R^-1*S^-1*R*S^-1, S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S, S^-4*R*S^-1*R*S^-1*R*S^2*R^-1*S^-2*R*S^-1 ] C251.24 : Type {4,20}_50 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R*S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2, R*S^-4*R^-1*S*R^2*S^3*R^-1*S^-1*R*S^-1 ] C251.25 : Type {4,20}_50 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^-1*S^-1*R*S^-2, S^2*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1 ] C251.26 : Type {4,20}_50 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C251.27 : Type {4,24}_20 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, R^-1*S^2*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-3, S*R^-1*S^2*R*S^-1*R*S^-1*R*S^2*R^-1*S^4 ] C251.28 : Type {4,24}_20 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, R*S^-4*R*S^-1*R^-1*S^3*R^-1*S^-1*R*S^2 ] C251.29 : Type {4,24}_24 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R^-1*S^2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S*R^-1*S*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^3, S^24 ] C251.30 : Type {4,24}_24 Order 2400 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R^-1*S^2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, R*S^-3*R^-1*S*R*S^-1*R^2*S*R^-1*S^-4, S^-2*R^-1*S^3*R*S^-2*R*S^2*R^-1*S^-1*R*S*R^-1*S^-1 ] C251.31 : Type {4,24}_24 Order 2400 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^4, S^-3*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-2, S^-2*R^-1*S^3*R*S^-2*R^2*S^-1*R*S^2*R^-1*S^-2 ] C251.32 : Type {4,24}_600 Order 2400 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-2*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2, S^24 ] C251.33 : Type {4,24}_600 Order 2400 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-2*S^2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C251.34 : Type {4,44}_550 Order 2200 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-2*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2, S^2*R*S^-2*R^-1*S^6*R*S^-2*R^-1*S*R^-1*S^-6*R*S*R^-1*S^-1*R*S ] C251.35 : Type {4,104}_520 Order 2080 mV = 26 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^104 ] C251.36 : Type {4,104}_520 Order 2080 mV = 26 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^26*R^2*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^20 ] C251.37 : Type {4,204}_510 Order 2040 mV = 51 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^51*R^2*S*R^-1*S^-2*R*S^48 ] C251.38 : Type {6,6}_20 Order 3000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, R*S^-3*R^-2*S*R^3*S^3*R^3*S^-1*R, R*S^-3*R^-2*S*R*S^-1*R*S^3*R^3*S^-2, S^-1*R*S^-3*R^-1*S*R^-2*S^3*R^-2*S^3*R ] C251.39 : Type {6,6}_20 Order 3000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^-1*S*R^-1*S^-3*R^-3*S^-3*R^-3*S^3*R^3*S*R^-1*S^-3*R^-3 ] C251.40 : Type {8,8}_4 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, R^-2*S^-4*R^4*S^2 ] C251.41 : Type {8,8}_10 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-1*S*R^2*S^-1*R^2*S^-1*R*S^-3 ] C251.42 : Type {8,8}_10 Order 2000 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S*R*S^-2*R^-4*S^-1*R^3*S^2, R^-1*S^-4*R^-3*S^-1*R^2*S^3 ] C251.43 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^3*S^-1*R^3*S*R^-1*S^3*R^-1, S^3*R*S^-1*R^3*S^-1*R*S^3*R^-1, S^2*R^-2*S*R^3*S^-2*R^2*S*R^-1, R^-1*S*R^-1*S^2*R^3*S^-1*R*S*R^-1*S*R^-1 ] C251.44 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-2*R^-1*S*R^3*S^-1*R*S^-1*R*S^-1, R*S^-1*R^2*S^-1*R^3*S^-1*R^2*S^3, S^-2*R*S^-2*R^-3*S^4*R^-1*S*R^-1*S^-1 ] C251.45 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-3*R^3*S^-2*R*S^-1*R, S^-2*R^2*S^-1*R^2*S^-1*R*S^-2*R ] C251.46 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^-4*S^-1*R^3*S^-2, R*S^-4*R^-3*S^-1*R^2*S^-3, R^-1*S*R^-1*S^2*R^3*S^-1*R*S*R^-1*S*R^-1 ] C251.47 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-4*S^-1*R^3*S^-1*R, R*S^-4*R^-1*S*R^-1*S^-2*R*S^-3, R^-2*S*R*S^-1*R^3*S^3*R^-2*S ] C251.48 : Type {8,8}_20 Order 2000 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3, R*S^-1*R^2*S^-1*R^3*S^-2*R*S*R^-1*S, R^-1*S*R^-1*S^2*R^3*S^-1*R^2*S^-1*R*S^-1 ] C251.49 : Type {8,8}_50 Order 2000 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R*S^-1*R*S^-1*R ] C251.50 : Type {8,8}_100 Order 2000 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^-1*R*S^-1*R ] C251.51 : Type {8,8}_250 Order 2000 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S^2*R^-1*S*R^2*S^-2*R^2*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^2*R^-1 ] C251.52 : Type {8,8}_500 Order 2000 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S^-2*R^2*S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R ] C251.53 : Type {8,16}_400 Order 1600 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S^2*R^2*S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S ] C251.54 : Type {8,16}_400 Order 1600 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^-1*S^2*R^2*S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R*S ] C251.55 : Type {8,36}_360 Order 1440 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^36 ] C251.56 : Type {8,36}_360 Order 1440 mV = 9 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^36 ] C251.57 : Type {8,136}_170 Order 1360 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^17*R*S^-1*R^2*S^-6*R*S^10 ] C251.58 : Type {8,136}_340 Order 1360 mV = 34 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^17*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S^12 ] C251.59 : Type {12,12}_10 Order 1500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, (R*S^-1*R)^4, (S^2*R^-1*S*R^-1*S)^2, S^12, S^-1*R^-2*S*R*S^-1*R*S*R^-2*S^-2, R^-1*S*R^6*S^-1*R^3*S*R^-1 ] C251.60 : Type {12,12}_10 Order 1500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, R^3*S^-1*R^3*S^-1*R*S^3, S*R^-2*S*R^3*S^-2*R*S^2 ] C251.61 : Type {12,12}_10 Order 1500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, R*S^-3*R^3*S^-2*R*S^-1*R, R*S^-1*R^-1*S*R^4*S^-3*R*S^2 ] C251.62 : Type {12,12}_50 Order 1500 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^2*R^-1*S*R*S^-1*R^2*S^-1*R*S^2 ] C251.63 : Type {12,12}_250 Order 1500 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^2*R*S^-1*R ] C251.64 : Type {24,24}_4 Order 1200 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, R*S^-2*R^4*S^-4*R, R*S^-3*R^3*S^-2*R*S^-1*R ] C251.65 : Type {24,24}_10 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S^2*R^-1*S, R^-2*S*R^4*S*R^-1*S^-1*R*S, R^-1*S^2*R^-1*S*R^-1*S*R^-1*S*R^-8*S*R^-2*S*R^-1*S*R^-1 ] C251.66 : Type {24,24}_10 Order 1200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^3*R^4*S^-1*R*S^2*R^-1, S*R^2*S^-1*R^3*S^4*R^-1, S*R*S^-2*R^3*S*R^-2*S^2, R*S^-3*R*S^-1*R^13*S^-3*R*S^-1 ] C251.67 : Type {24,24}_10 Order 1200 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S^4*R^-1, (R^3*S^-1*R^3*S^-1*R^4)^2 ] C251.68 : Type {24,24}_20 Order 1200 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^3*R^4*S^-1*R*S^2*R^-1, S*R^2*S^-1*R^3*S^4*R^-1, S^-1*R*S^-2*R^3*S^-3*R^2 ] C251.69 : Type {24,24}_50 Order 1200 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R, R*S^-4*R^15*S^-4 ] C251.70 : Type {24,24}_100 Order 1200 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C251.71 : Type {28,56}_40 Order 1120 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S*R^-3*S*R^-14*S^3*R^-1*S^3*R^-2 ] C251.72 : Type {28,56}_40 Order 1120 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^-2*S^2*R^-1*S^3*R^-1*S*R^-10*S^3*R^-1*S^3*R^-1 ] C251.73 : Type {44,44}_50 Order 1100 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R, R^-2*S^6*R^-6*S*R^-1*S*R^-1*S^2*R^-1*S ] C251.74 : Type {104,104}_10 Order 1040 mV = 26 mF = 26 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-67*S^5*R^-1*S*R^-3*S*R^-13*S^8*R^-3 ] C251.75 : Type {104,104}_20 Order 1040 mV = 26 mF = 26 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-1*R*S^-21*R*S^-5*R^12*S^-2*R*S^-3*R*S^-1*R^2*S^-1 ] C251.76 : Type {204,204}_10 Order 1020 mV = 51 mF = 51 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-65*S^5*R^-1*S*R^-3*S*R^-13*S^8*R^-3 ] Genus 252 C252.1 : Type {5,10}_502 Order 2510 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-4*R*S^-1*R^-2*S*R^-2*S*R^-1*S*R^-1*S^-2*R ] C252.2 : Type {5,10}_502 Order 2510 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-4*R*S^-1*R^-2*S*R^2*S^5*R^-2*S^-1*R ] Genus 253 C253.1 : Type {3,12}_84 Order 6048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2 ] C253.2 : Type {3,18}_84 Order 4536 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-4*R*S^-3)^2, S^18, S^2*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^-3*R*S^2*R^-1*S^2 ] C253.3 : Type {3,18}_84 Order 4536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^-3*R*S^-2*R*S^-1 ] C253.4 : Type {3,24}_84 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-5*R*S^-2)^2, (S*R^-1*S^5)^3, S^-1*R*S^-9*R^-1*S*R^-1*S^-2*R*S^3*R^-1*S^-2 ] C253.5 : Type {3,24}_84 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^-1*R*S^-5*R*S^2, (R*S^-5*R*S^-2)^2, S^2*R^-1*S^3*R*S^-3*R*S^-2*R^-1*S^2*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S ] C253.6 : Type {3,24}_168 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (S^2*R^-1*S^2)^3, S*R*S^-5*R*S^-1*R*S^-5*R*S^2, S*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S ] C253.7 : Type {4,32}_32 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^2*R^-1, S^-5*R*S^-1*R*S^2*R^-1*S^-2*R, S^-3*R^-1*S^4*R*S^-1*R^-2*S^-1*R*S^5*R^-1*S^-2 ] C253.8 : Type {4,32}_32 Order 2304 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^32 ] C253.9 : Type {6,6}_14 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S*R^-1*S)^3, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S*R^-1*S^-1 ] C253.10 : Type {6,6}_14 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, R^-1*S^2*R^-1*S^-3*R^2*S^3*R^-1*S^2*R^-1, S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S*R^-1*S^-1, R^2*S^-1*R*S^-3*R^2*S^3*R^2*S^2 ] C253.11 : Type {6,6}_14 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, R^-1*S^2*R^-1*S^-3*R^2*S^3*R^-1*S^2*R^-1, S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S*R^-1*S^-1, S*R*S^-1*R^-2*S^-3*R^3*S^3*R^2*S ] C253.12 : Type {6,6}_18 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R*S^-1*R*S^3*R*S^-1, R*S^-3*R^-2*S*R^3*S^3*R^3*S^-1*R, S*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-1, (S*R^-2*S*R^-1)^3 ] C253.13 : Type {6,6}_18 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R*S^-1*R*S^3*R*S^-1, R*S^-3*R^-2*S*R^3*S^3*R^3*S^-1*R, S*R^-2*S*R^-1*S^-3*R^2*S*R^-2*S*R^-2, S*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-1 ] C253.14 : Type {6,6}_18 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R*S^-1*R*S^3*R*S^-1, S*R^2*S^-3*R^3*S^3*R^-1 ] C253.15 : Type {6,6}_84 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-1*S*R^-1*S^2, (R*S^-1*R)^6 ] C253.16 : Type {6,6}_84 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-1*R*S^-2*R*S^-3*R^-1*S*R^-1*S^-3*R^-1*S*R*S^-1*R^-1*S^3*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-2*R*S^-1 ] C253.17 : Type {6,6}_84 Order 3024 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^-2*S*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R^2*S*R^-2*S^2*R*S^-1*R^-3*S^2*R*S^-1*R*S^-1*R^-2*S*R^-1 ] C253.18 : Type {6,12}_84 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S^12, S^2*R^-1*S^4*R^2*S^4*R^-1*S^2, S^2*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-2*R*S^-2*R*S^2 ] C253.19 : Type {6,12}_84 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1, S^12, R^-1*S^4*R^-2*S^-1*R*S*R^-2*S^-2 ] C253.20 : Type {6,12}_84 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S*R^-1*S^3*R^-1*S ] C253.21 : Type {6,12}_84 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^12, R^2*S^-1*R^-2*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R^2*S*R^-1*S ] C253.22 : Type {6,12}_84 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12, R*S^-1*R*S^-2*R*S^-3*R*S^-2*R*S^-2*R*S^-2 ] C253.23 : Type {6,12}_84 Order 2016 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-2*S*R^-1 ] C253.24 : Type {6,12}_168 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R ] C253.25 : Type {6,12}_168 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-5)^2, R*S^-1*R*S^-3*R*S^-2*R*S^-1*R*S^2*R^-1*S^-3 ] C253.26 : Type {6,12}_168 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, (R*S^-5)^2, S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R^-1*S^2*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^-1*R*S ] C253.27 : Type {6,12}_168 Order 2016 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R*S^3, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, R*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^2*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-2*S*R^-1*S*R^2*S^-1*R^-2*S*R ] C253.28 : Type {6,15}_210 Order 1890 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-2 ] C253.29 : Type {6,30}_140 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1, S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C253.30 : Type {6,30}_140 Order 1680 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^2*S^2*R*S^-1*R^-1*S*R^-2*S*R^3*S^-1*R*S*R^-1*S^-1*R*S^2 ] C253.31 : Type {6,39}_546 Order 1638 mV = 13 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-39 ] C253.32 : Type {6,111}_518 Order 1554 mV = 37 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-19*R^3*S*R^-2*S^5*R*S^-12 ] C253.33 : Type {8,12}_8 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, (R*S^-1*R)^4, S^12, R^-2*S*R*S^-1*R^3*S^-1*R*S^2*R^-1*S ] C253.34 : Type {8,12}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (S^-1*R^2*S^-1)^3 ] C253.35 : Type {8,12}_12 Order 1728 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, R*S^-1*R^-3*S*R^3*S*R^-3*S^-1, S^12 ] C253.36 : Type {8,12}_12 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-2*R*S^3, S^-1*R*S^-2*R^3*S^-2*R*S^-1*R, R*S^-1*R^-1*S*R^2*S^-1*R^-3*S*R^-3*S^-1*R*S^-1*R ] C253.37 : Type {8,12}_12 Order 1728 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-2)^2, S^12, S^-1*R^-1*S*R^2*S^-1*R^-3*S*R^-3*S*R^-2*S^-1*R ] C253.38 : Type {8,12}_24 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^2*R*S^-1*R^3*S*R^-1*S^-1*R*S, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, (R*S^-2*R*S^-1*R)^2 ] C253.39 : Type {8,12}_24 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S^12, R^-2*S*R*S^-1*R^3*S^-1*R*S^2*R^-1*S ] C253.40 : Type {8,12}_24 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^12, R^-2*S*R*S^-1*R^3*S^-1*R*S^2*R^-1*S, R^-1*S*R*S^-2*R^3*S*R^-2*S^-1*R*S^-1 ] C253.41 : Type {8,40}_60 Order 1440 mV = 5 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S^-10*R^-2*S^-5*R*S*R^-1*S^-4 ] C253.42 : Type {9,18}_84 Order 1512 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R*S^-1*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C253.43 : Type {12,12}_42 Order 1512 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R^2*S^-1*R^3*S^-1*R*S^-3, S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C253.44 : Type {12,12}_42 Order 1512 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C253.45 : Type {12,12}_42 Order 1512 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, S*R*S^-2*R^3*S^3*R^-2, S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R*S^3*R^-1 ] C253.46 : Type {12,12}_42 Order 1512 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, R^12, S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^2*S^-1*R^-3*S^-1*R^2*S*R^-1*S*R^-1*S*R^2*S^-1*R ] C253.47 : Type {12,24}_28 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, R^12, R^2*S^-1*R^4*S^-1*R^2*S^-2 ] C253.48 : Type {12,24}_28 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, R^12, S^-2*R^5*S^-3*R*S^-1 ] C253.49 : Type {12,24}_28 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R*S^-2*R^-1*S*R^2*S^3*R^-1*S^2*R^-1*S ] C253.50 : Type {12,24}_28 Order 1344 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, R*S^-3*R^2*S^-1*R^-1*S*R^-1*S^-7*R, R*S^2*R^2*S^-1*R*S^-1*R^3*S*R^-1*S*R^-3*S^2*R ] C253.51 : Type {12,24}_56 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^3*R*S^-1*R^2*S^-1*R*S^3 ] C253.52 : Type {12,24}_56 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-1*R*S^-2*R, S^-2*R^5*S^-3*R*S^-1, S^-1*R^-1*S*R*S^-1*R^3*S^4*R^-1*S^-1 ] C253.53 : Type {12,24}_56 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S^-3*R^4*S*R^-2*S^-2, S*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S^3*R^-1*S^2*R^-1*S ] C253.54 : Type {12,24}_56 Order 1344 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R*S^-2*R*S^6, R*S^-1*R^3*S^-1*R*S^-1*R^-3*S*R^-1*S^-1*R*S^-1*R^2*S^2 ] C253.55 : Type {12,36}_36 Order 1296 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, S^2*R*S^-1*R^-1*S^3*R^-2*S^6 ] C253.56 : Type {18,18}_36 Order 1296 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S*R*S^-1*R^-1*S*R^2*S^-2*R*S^3, R^-1*S^2*R^-4*S*R^-5*S^2*R^-1*S*R^-1 ] C253.57 : Type {21,42}_28 Order 1176 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^-1*R*S^-1*R*S^-3*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^-2, R^17*S^-1*R^2*S^-1 ] C253.58 : Type {27,54}_42 Order 1134 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S*R*S^-1*R*S^-3*R^-1*S^2*R^-1*S*R^-1*S^-2, R^-1*S^6*R^-1*S*R^-17*S ] C253.59 : Type {32,32}_12 Order 1152 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, R*S^-2*R^2*S^-3*R^3*S^-1*R^4*S^-2*R^8*S^-1*R^2*S^-1*R^2 ] C253.60 : Type {32,32}_12 Order 1152 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R^-1*S*R^4*S^-1*R*S^3, R^2*S^-1*R^6*S^-1*R*S^-1*R^2*S^-1*R ] C253.61 : Type {32,32}_24 Order 1152 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^4*S*R^-1*S^-1*R*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-3*R^2*S^2*R^-1*S^2, R^10*S^-2*R^2*S^-2 ] C253.62 : Type {75,150}_14 Order 1050 mV = 25 mF = 25 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, R^-2*S*R^-38*S^7*R^-1*S^2*R^-2*S^2*R^-14*S*R^-3*S*R^-1 ] Genus 254 C254.1 : Type {10,60}_132 Order 1320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R^2*S^-1*R^3*S^-2*R*S^-1, S^3*R^-2*S*R*S^-6*R*S^2 ] C254.2 : Type {10,60}_132 Order 1320 mV = 6 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-2*R*S^-1*R^2*S^-2*R*S^-1, S^2*R*S^-1*R^-1*S^3*R^-1*S^-5*R*S ] C254.3 : Type {10,60}_132 Order 1320 mV = 12 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^2*R*S^-3*R^5*S^7 ] C254.4 : Type {10,60}_132 Order 1320 mV = 12 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R*S^-1*R^-2*S^-1*R^4*S^-1, S^-1*R^-1*S^3*R^-2*S*R^-1*S^-7 ] C254.5 : Type {15,20}_66 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R*S^-1)^2, S*R*S^-2*R^-2*S^2*R^-2*S, R^-1*S^2*R^-4*S*R^-1*S^-1*R*S^-2 ] C254.6 : Type {15,20}_66 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R*S^-1)^2, S^-1*R*S^-1*R^-3*S^-2*R*S^-2, R*S^-2*R^-1*S*R^2*S^2*R^-2*S^-1 ] C254.7 : Type {50,50}_22 Order 1100 mV = 5 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-1*S*R^2*S^-2*R*S, R^-1*S^27*R^-3*S^2*R^-1*S*R^-13*S^2 ] C254.8 : Type {50,50}_22 Order 1100 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-1*S^2, S*R^-1*S*R^3*S^-1*R*S*R^-1, R^26*S^-1*R^3*S^-2*R^9*S^-1*R*S^-6*R ] Genus 255 C255.1 : Type {3,12}_1016 Order 6096 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^3*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S ] C255.2 : Type {7,14}_254 Order 1778 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S ] C255.3 : Type {7,14}_254 Order 1778 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^2*R^-1*S^2*R^-2*S*R^-1*S^-2*R*S ] C255.4 : Type {7,14}_254 Order 1778 mV = 1 mF = 1 Defining relations for automorphism group: [ R^7, (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2 ] Genus 256 C256.1 : Type {18,66}_198 Order 1188 mV = 11 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^11*R^2*S^4*R^-1*S^-1*R*S^6 ] C256.2 : Type {60,90}_36 Order 1080 mV = 15 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-2*R^-1*S^4*R^-3*S^-6, S^-1*R*S^-1*R*S^-4*R^15*S^-1*R*S^-2*R^2*S^-1 ] Genus 257 C257.1 : Type {3,8}_24 Order 12288 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S*R*S^-2*R*S^-3*R*S^-2*R*S^-1*R*S^-3*R*S^-2*R*S^2*R^-1*S^2 ] C257.2 : Type {3,10}_40 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^10, (R*S)^2, R^-1*S^-5*R^-1*S^2*R*S^-1*R*S^5*R^-1*S^2*R^-1*S ] C257.3 : Type {3,12}_16 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, S*R*S^-2*R*S^-4*R^-1*S^3*R^-1*S^3*R^-1*S, S*R^-1*S^5*R*S^-4*R*S^-2*R*S^2*R^-1*S^-2*R*S^2 ] C257.4 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R^-1*S^-2*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S, S^2*R^-2*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S^3*R^-1*S*R^-1 ] C257.5 : Type {4,6}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, (R*S^-2)^4, R^-1*S^-2*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S, R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2 ] C257.6 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R*S^-2*R*S^-3*R*S^-1*R*S^3*R^-1*S^2*R*S^-1, S*R^-2*S^2*R^-1*S^-3*R*S^-1*R^-2*S^-1*R*S^3*R*S^-2*R^2*S, S^2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R*S*R^-1*S^2*R^-1 ] C257.7 : Type {4,6}_24 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1, R^-1*S*R^-1*S*R^-2*S^-3*R*S^-1*R*S^3*R^2*S^3*R^2*S^2 ] C257.8 : Type {4,6}_48 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^-1*S*R^-1*S*R^2*S^3*R^2*S*R^-1*S^-1*R*S^-1, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1, R*S^-1*R^-2*S^-3*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^3*R^2*S*R^-1*S^-2 ] C257.9 : Type {4,6}_48 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^-1*S*R^-1*S*R^2*S^3*R^2*S*R^-1*S^-1*R*S^-1, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1, R^-1*S*R^-1*S^2*R^-1*S^-3*R*S^-1*R^2*S*R^-1*S^3*R*S^-2*R^2*S ] C257.10 : Type {4,6}_48 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-2*R^-2*S^-3*R^-2*S^-3*R^-2*S^-3*R^-2*S^3*R^2*S^3*R^2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1 ] C257.11 : Type {4,8}_8 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S, R*S^-3*R^-1*S*R*S^-1*R*S^-2*R*S*R^-1*S^-2, (R*S^-1)^8 ] C257.12 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R*S^-2*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C257.13 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-2*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, (R*S^-3*R*S^-1*R*S^-1)^2, S^2*R*S^-1*R^-1*S^2*R^-1*S*R^2*S^4*R^2*S*R^-1*S ] C257.14 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, R*S^-3*R^-1*S*R*S^-1*R*S^-2*R*S*R^-1*S^-2, (R*S^-1)^8, (R*S^-3)^4 ] C257.15 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3, S*R^-1*S*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S*R^-1*S^-1*R*S ] C257.16 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R*S^-2*R^-1*S*R^2*S^4*R*S^-2 ] C257.17 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^2*R*S^-1*R*S^-1*R^-2*S^-2*R*S*R^-1*S, (R*S^-1)^8 ] C257.18 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3, (R*S^-1)^8, S^-2*R^-1*S^2*R^-1*S^3*R^-1*S^2*R^-1*S*R^-1*S^-2*R ] C257.19 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2 ] C257.20 : Type {4,8}_16 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S^-1*R^-1*S*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-1*R*S*R^-1*S^-1 ] C257.21 : Type {4,8}_32 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-3*R^-1*S*R*S^-1*R*S^-2*R*S*R^-1*S^-2, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S*R^-1*S^-3, S^2*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1 ] C257.22 : Type {4,8}_32 Order 4096 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, (R*S^-2)^4, R^-1*S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S ] C257.23 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^12, S^-1*R^-1*S^3*R*S^-2*R*S^3*R^-1*S^-3 ] C257.24 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, S^3*R^-1*S*R^-1*S*R^2*S^-3*R*S*R^-1*S ] C257.25 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^3 ] C257.26 : Type {4,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, S^12, (R*S^-1)^8, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1, R*S^-3*R*S^-2*R*S^-1*R*S^2*R^-1*S^-3*R*S^-1 ] C257.27 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2, (R*S^-1)^8 ] C257.28 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S^2*R*S^-2*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S, S^2*R^-1*S*R*S^-2*R*S^-1*R^-2*S^2*R^-1*S^-1*R*S^-2*R*S ] C257.29 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, S^2*R^-1*S*R*S^-3*R^2*S*R^-1*S*R^-1*S^2, S*R^-1*S*R*S^-1*R*S^-2*R^-1*S*R^-1*S^-3*R*S ] C257.30 : Type {4,12}_24 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^12, (R*S^-1)^8, S^-1*R*S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^-3*R, S^2*R*S^-2*R^-1*S*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S^-1*R*S ] C257.31 : Type {4,12}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-5)^2, S^12, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S^-2, S^-2*R^-1*S^3*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1, R*S^-3*R*S^-2*R*S^-1*R*S^2*R^-1*S^-3*R*S^-1 ] C257.32 : Type {4,12}_48 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-3*R*S^-2, S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^-1*R*S^-1 ] C257.33 : Type {4,12}_48 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-5)^2, S^12, R^-1*S^2*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S ] C257.34 : Type {4,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-3*R^-1*S*R^2*S^-2*R*S*R^-1*S^-1, (R*S^-5)^2, S^2*R*S^-3*R^-1*S^3*R*S^-2*R*S^8 ] C257.35 : Type {4,36}_36 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-2)^4, (R*S^-5)^2, S^36 ] C257.36 : Type {4,36}_72 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-5)^2, (R*S^-1)^8, S^-2*R^-1*S^3*R*S^-3*R^-1*S^2*R^-1*S^-8 ] C257.37 : Type {5,6}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, R*S^-3*R*S^-1*R*S^-1*R*S^3*R*S^-1*R*S^-1, R*S^-1*R^2*S^-1*R*S^-1*R^2*S*R^-1*S^-2*R*S^-2 ] C257.38 : Type {5,6}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, R*S^-3*R^-2*S*R^-2*S^3*R^-1*S^2*R*S^-1, (S*R^-2*S*R^-1)^3 ] C257.39 : Type {5,6}_20 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^6, (R*S)^2, S^-1*R^-2*S^-3*R^2*S*R^-1*S^3*R, R*S^-3*R^-1*S*R*S^-1*R^2*S^3*R^-2*S*R^-1*S^-1 ] C257.40 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S*R^-1*S^2*R*S^-1*R*S^-2*R*S^2, S^-1*R*S^-5*R^2*S^-1*R*S^-3*R ] C257.41 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S*R*S^-2*R^-2*S*R^-2*S^2, (S*R^-1*S)^5 ] C257.42 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S^-1*R^-2*S^3*R^2*S^5*R*S^-1 ] C257.43 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S*R^2*S^-2*R^-2*S^2*R^-1*S^3 ] C257.44 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S*R*S^-3*R^2*S*R^-1*S^3, R*S^-3*R^-1*S*R^-2*S^2*R^-1*S*R^-2*S^-1 ] C257.45 : Type {5,10}_8 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, (S*R^-1*S)^5 ] C257.46 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-1)^6, S*R*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S ] C257.47 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, S^-1*R^-1*S*R^-1*S^2*R^2*S^2*R^-1*S*R^-1*S^-1, S^-1*R*S^-3*R^-1*S*R^-2*S^3*R^-2*S^-1*R^2*S^-1 ] C257.48 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-2*R*S^-1*R^-2*S*R^-1*S^-1*R^2*S^-1*R, R*S^-2*R^-1*S*R^-2*S^3*R*S^-2*R ] C257.49 : Type {6,6}_8 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^6, R^-2*S^2*R*S^-1*R^-2*S*R^-1*S^3*R^-2*S, S*R^-1*S*R^-2*S*R^-2*S^-1*R*S^3*R^-2*S ] C257.50 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R ] C257.51 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-1)^6, S*R^-1*S*R^2*S^-1*R^2*S^-1*R*S^2*R^-2, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S ] C257.52 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S, S*R*S^-1*R*S^-2*R^2*S*R^-1*S^2*R^-1*S, R*S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S^2*R^-2*S^-1 ] C257.53 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S, S*R*S^-1*R^-3*S^-3*R^2*S*R^-1*S^3*R^3*S ] C257.54 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S^-2*R*S^-2*R*S^-2*R*S*R^-1*S*R^-2*S*R^-1*S^3*R*S^-2*R*S^-2*R ] C257.55 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^-2*S*R*S^-1*R^2*S^3*R^-2*S, S*R^2*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1, R*S^-1*R*S^-3*R*S^-1*R^2*S^-1*R*S^3*R*S^-1*R ] C257.56 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S*R^2*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1, S*R^-2*S*R^2*S^-1*R^2*S^3*R^-1*S*R^-1*S, R*S^-3*R^-2*S*R*S^-1*R^3*S^-1*R*S^3*R ] C257.57 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-1)^6, (R*S^-2)^4, S*R^-1*S*R^2*S^-1*R^2*S^-1*R*S^2*R^-2 ] C257.58 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-1)^6, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S ] C257.59 : Type {6,6}_16 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S, S^-1*R^-2*S^2*R*S^-1*R^2*S^3*R^-2*S^3*R ] C257.60 : Type {6,6}_32 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S*R^-1*S*R^2*S^-1*R^2*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-2 ] C257.61 : Type {6,7}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, S^-2*R^2*S^-1*R^2*S*R^-1*S^-1*R^2*S^-1, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S ] C257.62 : Type {6,7}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R^-1*S*R^-2*S*R^2*S^-1*R*S*R^-2*S, (R*S^-2)^4 ] C257.63 : Type {6,7}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, S^-1*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^-1*R^2*S^-1*R, S*R^2*S^-1*R*S^-1*R^2*S^2*R^-1*S^-1*R^2*S, S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-1*R*S ] C257.64 : Type {6,7}_16 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S*R^-1*S*R^-2*S*R^2*S^-1*R*S*R^-2*S, S*R*S^-1*R*S^-2*R^2*S*R^-1*S^2*R^-1*S ] C257.65 : Type {6,7}_16 Order 2688 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^7, (R*S)^2, (R*S^-1*R)^2, S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-3*R*S^-1*R^-2*S*R^-1*S^-1*R*S^3*R^-1*S^2*R^-1*S^-2 ] C257.66 : Type {6,15}_10 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^3*S^2 ] C257.67 : Type {6,15}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, (R*S^-1)^6, S^-5*R^-2*S^-2*R*S^-2*R ] C257.68 : Type {6,15}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-3*R*S^-1*R^2*S^-3*R*S^-1, (R*S^-1)^6, S^-3*R^2*S^-1*R^2*S^-1*R^2*S*R^-2*S^-1 ] C257.69 : Type {6,15}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S^4*R^2*S*R^-1*S^-1*R^2*S, (R*S^-1)^6, S^-1*R^2*S^-1*R*S^-1*R^2*S^2*R^-1*S^-1*R^2*S^-1 ] C257.70 : Type {6,15}_20 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-1*R^-2*S*R^3*S*R^-2*S^-1, S^3*R^-2*S*R^2*S^2*R^-1*S*R^-1 ] C257.71 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R^-1*S^-4*R^4*S^4*R^-3 ] C257.72 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S^-4*R^4*S^4*R^-3 ] C257.73 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-1*S^2*R^3*S^-1*R^2*S^2, S^-1*R*S^-2*R^-3*S^-1*R*S^4*R ] C257.74 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, R*S^-1*R^-1*S*R^3*S^-3*R*S^-1 ] C257.75 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R^3*S^-1*R^-4*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C257.76 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S*R^-1*S^2*R^3*S^-1*R^2*S^2, R*S^-1*R*S^-2*R*S^-1*R^4*S^4*R ] C257.77 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C257.78 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R ] C257.79 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^3*R*S^-1*R^2*S*R^-1*S^-2*R*S ] C257.80 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-2*R^-3*S*R^-1*S^4*R^-1, R*S^-4*R^-1*S*R^-2*S*R^-3*S^-2*R ] C257.81 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, R^-1*S*R*S^-2*R^-2*S^4*R^-1*S*R^-1, S*R^-1*S*R*S^-1*R^3*S^-1*R*S*R^-1*S*R^-1 ] C257.82 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, R^-1*S^-4*R^4*S^4*R^-3 ] C257.83 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R^-1*S*R^3*S^-3*R*S^-1, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2 ] C257.84 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-1*R*S^-1*R^3*S^-2*R*S^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R ] C257.85 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, R^2*S^-4*R*S^-1*R^4*S^-3*R ] C257.86 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2, S^-2*R^-1*S*R^3*S^-1*R*S^-1*R*S^-1 ] C257.87 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2, S^-2*R*S^-1*R^-3*S^4*R*S^-1*R, R*S^-1*R^2*S^-2*R^-1*S*R^-1*S^-1*R^3*S^-1 ] C257.88 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S*R^-2*S^-2, S*R^3*S^-1*R^-1*S*R^2*S^4*R^2*S ] C257.89 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-2*R*S^-2*R^3*S^-1*R*S^2*R^-1*S^-1 ] C257.90 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-3*S*R^4*S^4*R*S^-2, S^-2*R*S^-2*R^3*S^-1*R*S^2*R^-1*S^-1 ] C257.91 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^2*R*S^-1*R*S^-1*R^2*S^-2*R*S*R^-1*S ] C257.92 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^-1*R*S^-4*R^-2*S^2*R^-1*S^-1*R^2, R^-2*S*R*S^-1*R^3*S^-2*R*S^-1*R*S^-1 ] C257.93 : Type {8,8}_8 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R*S^-3*R^-3*S*R^-1*S^4*R, S*R^-2*S*R*S^-1*R^-2*S^4*R^-1*S*R^-2 ] C257.94 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R*S^-1*R*S^-1*R^2*S^-3*R^2*S, S^-1*R*S^-2*R^-1*S*R^-2*S^4*R*S^-2*R ] C257.95 : Type {8,8}_8 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R*S^-1*R*S^-1*R^2*S^-2*R*S*R^-1*S, S^-1*R*S^-1*R*S^-2*R^-2*S^-1*R*S^4*R*S^-1 ] C257.96 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^-1*S^2*R^3*S^-1*R^2*S^2, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^2*R^-1 ] C257.97 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2, R^-1*S^-4*R^4*S^4*R^-3, S*R^3*S^-1*R^3*S*R^-1*S^3*R^-1 ] C257.98 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R ] C257.99 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S*R^-3*S*R^3*S*R^-3*S, R*S^-3*R^-3*S^-1*R*S*R^-3*S^-1, R*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1*R*S^-1 ] C257.100 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-1*S*R^-3*S*R^3*S*R^-3*S, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^2*R^-1 ] C257.101 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R^-1*S*R*S^-2*R^-2*S^4*R^-1*S*R^-1 ] C257.102 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S*R*S^-2*R^-3*S*R^-1*S^4*R^-1 ] C257.103 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S^-4*R^4*S^4*R^-3, R^-2*S*R*S^-1*R^3*S^-2*R*S^-1*R*S^-1 ] C257.104 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, (R*S^-2)^4, S^-1*R*S^-4*R^3*S*R^-1*S^4*R, S^2*R*S^-1*R*S^-1*R^2*S^-2*R*S*R^-1*S ] C257.105 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-3*R, S*R^2*S^-3*R^2*S^-1*R*S^-1*R*S^2 ] C257.106 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^2*R*S^-1*R*S^-1*R^2*S^-2*R*S*R^-1*S, S*R*S^-2*R^-1*S*R^2*S^-1*R*S^3*R^-1 ] C257.107 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, (R*S^-2)^4, S^-1*R*S^-4*R^3*S*R^-1*S^4*R, S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-3*R ] C257.108 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^-1*R*S^-4*R^-2*S^2*R^-1*S^-1*R^2 ] C257.109 : Type {8,8}_16 Order 2048 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R*S^-3*R^-3*S*R^-1*S^4*R ] C257.110 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-3*R^2*S^-1*R*S^-1*R*S^2, S*R^-1*S^2*R*S^-1*R^-2*S^4*R^-1*S^2*R^-1 ] C257.111 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-2*R^2*S^-1*R*S^-1*R*S^2, S*R^-1*S*R^-1*S^2*R^-2*S*R^-1*S^4*R^-1*S ] C257.112 : Type {8,8}_16 Order 2048 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, R^-1*S^-4*R*S^-1*R*S^4*R^-1*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-2*R ] C257.113 : Type {8,8}_16 Order 2048 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-3*S*R^3*S*R^-3*S, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1, R*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1*R*S^-1 ] C257.114 : Type {8,8}_32 Order 2048 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-2*R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-2*S^-1*R ] C257.115 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S^2*R*S^-3*R^-1*S*R^3*S^-3*R*S^3 ] C257.116 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3, S*R*S^-5*R*S^6 ] C257.117 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2*R*S^-1*R)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, S^4*R*S^-2*R^-1*S^3*R^-1*S^-2*R*S ] C257.118 : Type {8,24}_12 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S*R*S^-5*R*S^6 ] C257.119 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-2)^4, S^5*R^3*S^5*R^-1, S*R*S^-2*R*S^-1*R^2*S^2*R^-1*S^-1*R*S ] C257.120 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-5)^2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-5*R^4*S^-7 ] C257.121 : Type {8,24}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^5*R^3*S^5*R^-1, S*R*S^-5*R*S^6 ] C257.122 : Type {8,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R*S^-6*R^2*S^-2*R*S^4 ] C257.123 : Type {8,24}_24 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2, R^-1*S^3*R*S^-2*R^2*S^-7 ] C257.124 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, R^-1*S*R^-3*S*R^3*S*R^-3*S, S*R*S^-5*R*S^6 ] C257.125 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3, (R*S^-2*R*S^-1*R)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, R^-1*S*R^-3*S*R^3*S*R^-3*S, S^-1*R^-1*S^4*R*S^-1*R*S^4*R^-1*S^-2 ] C257.126 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-2*R*S^-1*R^3*S^2*R^-2*S^-1, S^24 ] C257.127 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2)^4, S*R*S^-1*R^-1*S*R^3*S^4*R^-1*S, S*R*S^-5*R*S^6 ] C257.128 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-5)^2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S*R*S^-2*R*S^-1*R^2*S^-3*R^2*S, S^-5*R^4*S^-7 ] C257.129 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-2)^4, (R*S^-5)^2, S^-5*R^4*S^-7 ] C257.130 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, (R*S^-2)^4, S^5*R^3*S^5*R^-1, S*R*S^-5*R*S^6 ] C257.131 : Type {8,24}_48 Order 1536 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^2*R^-1, R^-1*S*R*S^-2*R^2*S^-2*R^-1*S^5*R^-1*S^-2 ] C257.132 : Type {12,12}_4 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, R^12, S^-1*R*S^-1*R^4*S^-1*R*S^-3, S^-1*R*S^-2*R^3*S^-1*R^2*S^-2 ] C257.133 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S*R^-1*S^3, R^-1*S*R^-1*S*R^3*S^-2*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R^5*S^-1*R*S*R^-1*S*R^-1 ] C257.134 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S*R^-1*S^3, R^2*S^-2*R^3*S^-1*R*S^-3, (R*S^-1*R)^4 ] C257.135 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, (R*S^-1*R)^4, R^-1*S*R^-1*S*R^4*S^-1*R^2*S^-3 ] C257.136 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-4*R, R^2*S^-2*R^3*S^-1*R*S^3, S^2*R^-1*S*R^3*S^2*R^-2*S ] C257.137 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^3*R^4*S^-1*R*S*R^-1*S, (R*S^-1*R*S^-1*R^2)^2, S^-1*R^-1*S^2*R^3*S*R^-2*S^-2 ] C257.138 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S^4*R^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, R^-1*S^3*R^3*S^-1*R^2*S^2, R^-2*S*R^5*S^-1*R*S^2*R^-2 ] C257.139 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^3*R^4*S^-1*R*S*R^-1*S, S*R*S^-2*R^3*S^3*R^-2, (R*S^-1)^6 ] C257.140 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S*R*S^-1*R^4*S^4*R^-1, S*R^2*S^-1*R^3*S^3*R^-1*S, S^-1*R*S^-2*R^3*S^-1*R^2*S^-2, R^-2*S*R^5*S^-1*R*S^2*R^-2 ] C257.141 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, S*R^2*S^-1*R^3*S^3*R^-1*S, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2 ] C257.142 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R^2*S^-1*R^4*S^-2*R*S^-1*R, R^-1*S*R^-1*S*R^3*S^3*R^-1*S ] C257.143 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, S^12, S^-1*R^-1*S*R^5*S*R^-1*S^-4, R^-2*S^2*R^4*S*R^-2*S^2*R^-1 ] C257.144 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R^-1*S^2*R^4*S^-1*R^2*S^-2, S^4*R^3*S*R^-1*S^2*R^-1 ] C257.145 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R^2*S^-1*R^4*S^-3*R*S^-1, S^-4*R^3*S^-1*R*S^-2*R ] C257.146 : Type {12,12}_8 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-2*R*S^-1*R, (R^3*S^-1)^3, R^2*S^-1*R*S^-1*R^2*S^-5, S*R^-2*S*R^4*S*R^-1*S^-1*R^2*S ] C257.147 : Type {12,12}_8 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^-2*S*R^3*S^-3*R*S^-1, S^-1*R^-1*S^2*R^3*S*R^-2*S^-2, (R*S^-1*R)^4 ] C257.148 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, (R*S^-1*R)^4 ] C257.149 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, (R*S^-1*R*S^-1*R^2)^2, (R*S^-3*R*S^-1)^2, S^-1*R*S^-2*R^4*S*R^-1*S*R^-1*S^-1*R, S*R^2*S^-2*R^3*S^2*R^-2*S^2 ] C257.150 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R^2*S^-1*R^3*S^-2*R*S^2, (S^-1*R^2*S^-1)^3 ] C257.151 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-2*R*S^-2, (S^-1*R^2*S^-1)^3 ] C257.152 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S^-1*R^2*S^-1*R^3*S^-2*R*S^-2, R^-2*S^2*R^4*S^2*R^-2*S^2 ] C257.153 : Type {12,12}_8 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R^2*S^-1*R^3*S^-2*R*S^2, (R*S^-1)^6 ] C257.154 : Type {12,12}_16 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, R^2*S^-2*R^3*S^-1*R*S^-3 ] C257.155 : Type {12,12}_16 Order 1536 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-4*R, (R*S^-3*R^2)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-2*R^2*S^-1*R^2*S^-1*R*S^-2*R ] C257.156 : Type {12,12}_16 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-3*R^2)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-3*R*S^-1*R^2*S^-4*R ] C257.157 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, R^12, S^-1*R^6*S^-5, R*S^-2*R^-1*S*R^-1*S*R^2*S^-1*R*S^2*R^-2*S^-1 ] C257.158 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, S^-2*R^2*S^-1*R^2*S^-1*R*S^-2*R ] C257.159 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R^2*S^-1*R^3*S^-1*R^2*S*R^-1, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S*R^2*S^-2*R^3*S^2*R^-2*S^2 ] C257.160 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1 ] C257.161 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-5, S*R*S^-2*R^3*S^-2*R*S*R^-1, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, R^2*S^-1*R^2*S^-1*R^2*S^-1*R*S^2*R^-1*S ] C257.162 : Type {12,12}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-4*R, S*R^-2*S*R^4*S^2*R^-1*S^2*R^-1 ] C257.163 : Type {14,77}_44 Order 1232 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^3*R^4*S^-1*R*S^2*R^-1, R^14, S^-2*R^-1*S*R*S^-1*R^-2*S^-7 ] C257.164 : Type {36,36}_8 Order 1152 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S^2, S*R^6*S^5, R^-1*S*R^-1*S^2*R^-7*S*R^-1*S*R^-2*S ] C257.165 : Type {36,36}_8 Order 1152 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, S^4*R^-2*S^4*R^-2*S*R^-1*S*R^-1*S*R^-2*S*R^-8*S*R^-4*S^3 ] C257.166 : Type {36,36}_8 Order 1152 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^6*S^5, S*R^3*S^-1*R^3*S*R^-2*S*R^-2, R^-1*S^2*R^-2*S*R^-6*S*R^-2*S^2*R^-1 ] Genus 258 C258.1 : Type {8,8}_514 Order 2056 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-3*S*R^-4*S^-1*R^3*S^-1*R*S ] Genus 259 C259.1 : Type {3,12}_1032 Order 6192 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-3*R*S^-1 ] C259.2 : Type {6,9}_774 Order 2322 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-2*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R*S*R^-2*S^2*R*S^-1*R^3*S^-2*R^-1 ] C259.3 : Type {6,9}_774 Order 2322 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-2*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-1*S*R^-2*S*R^-2 ] C259.4 : Type {6,9}_774 Order 2322 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-2*S*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S*R^-2*S*R^-2*S^-1*R^2*S^-1*R^2*S^-1*R^2*S*R^-1 ] C259.5 : Type {6,12}_344 Order 2064 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R^-1*S^2*R^-1*S*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-1*R*S ] C259.6 : Type {6,21}_602 Order 1806 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^2*S^2*R*S^-1*R^-1*S*R^2*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-1*S^-2*R^-1*S ] C259.7 : Type {6,261}_522 Order 1566 mV = 87 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-44*R^3*S*R^-1*S^-42 ] C259.8 : Type {12,54}_54 Order 1296 mV = 18 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^12, S^7*R*S^-1*R^-3*S*R^-1*S^-1*R*S*R^-2*S^7 ] C259.9 : Type {12,54}_216 Order 1296 mV = 18 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, R^-1*S^4*R*S^-1*R^3*S*R^-2*S*R^-1*S^-2 ] C259.10 : Type {15,30}_86 Order 1290 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S^-2*R^-1*S^2*R^-1*S^2*R*S^-1*R^-1*S*R^2*S*R^-1*S^-2*R*S^-1*R*S*R^-1*S^-1 ] C259.11 : Type {60,180}_18 Order 1080 mV = 60 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S^4, R^-34*S*R^-2*S*R^-1*S^2*R^-1*S^2*R^-11*S*R^-2*S*R^-1 ] C259.12 : Type {133,133}_4 Order 1064 mV = 19 mF = 19 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^3*S^-16*R^13*S^-1*R*S^-97*R*S^-1 ] Genus 260 C260.1 : Type {6,6}_518 Order 3108 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, S*R^-1*S*R*S^-1*R*S^-1*R*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S ] C260.2 : Type {6,6}_518 Order 3108 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R, R^-1*S*R^2*S^2*R^-1*S^-3*R*S^-1*R^-2*S*R^-1*S^-1*R*S^3*R^-1*S^2 ] C260.3 : Type {6,6}_518 Order 3108 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R^-1*S^2*R^-2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C260.4 : Type {6,6}_518 Order 3108 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-2*R*S^-2*R*S^-3*R*S^-1*R*S^3*R^-1*S^2*R^2*S*R^-1*S^2*R^-1*S^3*R^2*S*R^-1*S^3*R^2*S^2*R^-1*S ] C260.5 : Type {6,24}_296 Order 1776 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, R*S^-1*R*S^-1*R*S^-2*R*S^-2*R^-2*S*R^-1*S^-1*R*S^2*R^-1*S^-2*R*S^2 ] C260.6 : Type {6,24}_296 Order 1776 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^2*S^-1*R^-2*S*R^2*S^-1*R^-3*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C260.7 : Type {6,114}_266 Order 1596 mV = 19 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^19*R*S^-2*R*S^3*R^-1*S^-2*R^-1*S^12 ] C260.8 : Type {6,114}_266 Order 1596 mV = 38 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^19*R^2*S*R^-2*S^4*R^-1*S^-4*R*S^10 ] C260.9 : Type {18,18}_74 Order 1332 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^-1*S*R^-1*S*R^3*S^-2*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^4*R^3*S^-1*R^2*S*R^-1, S^3*R^-1*S*R^2*S^-3*R*S, R^-1*S^5*R^-6*S*R^-2*S^2*R^-1 ] C260.10 : Type {18,18}_74 Order 1332 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S*R^-2, S*R*S^-2*R^3*S*R^-2*S^2, R^-2*S^2*R^-2*S*R^-7*S^2*R^-1*S ] C260.11 : Type {18,18}_74 Order 1332 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, S*R^-2*S*R^4*S^-2*R*S^2*R^-1, R^2*S^-2*R*S^-1*R^6*S^-1*R^3*S^-2 ] C260.12 : Type {18,18}_74 Order 1332 mV = 3 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-2*S^3*R^-9*S^3*R^-1, S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S ] C260.13 : Type {78,78}_14 Order 1092 mV = 26 mF = 13 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S*R^-1*S*R^-1, S*R^-2*S^43*R^-1*S*R^-3*S^2*R^-2*S^2*R^-10*S*R^-2*S*R^-1*S*R^-2*S^2*R^-1 ] Genus 261 C261.1 : Type {4,8}_130 Order 4160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2 ] C261.2 : Type {4,8}_130 Order 4160 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^-1*R*S^-4*R^-1*S*R^-1*S^-1*R*S^4*R^2*S^-1, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R ] C261.3 : Type {4,8}_260 Order 4160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-2*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-2*R^2*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S ] C261.4 : Type {4,8}_260 Order 4160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C261.5 : Type {4,8}_520 Order 4160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-2*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S ] C261.6 : Type {4,8}_520 Order 4160 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-2*R^2*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C261.7 : Type {4,12}_130 Order 3120 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3*R*S^-1)^2, S^12, S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^-3*R*S^-3 ] C261.8 : Type {4,12}_780 Order 3120 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C261.9 : Type {4,12}_780 Order 3120 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^2*R^2*S^-1 ] C261.10 : Type {4,20}_130 Order 2600 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R*S^2*R^-1*S^-2*R*S^-1*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1 ] C261.11 : Type {4,20}_130 Order 2600 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-2 ] C261.12 : Type {4,24}_78 Order 2496 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-1*R*S*R^-1*S ] C261.13 : Type {4,24}_156 Order 2496 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S*R^-1*S*R*S^-1*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S^-1*R*S ] C261.14 : Type {4,24}_156 Order 2496 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S^-3*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-3*R^-1*S ] C261.15 : Type {4,24}_312 Order 2496 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*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, S^24 ] C261.16 : Type {4,44}_572 Order 2288 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^44 ] C261.17 : Type {4,56}_140 Order 2240 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S, S^13*R*S^-1*R^2*S^-1*R*S*R^-1*S^-2*R*S^6*R^-1*S^-2*R*S^2 ] C261.18 : Type {4,56}_280 Order 2240 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^56 ] C261.19 : Type {4,84}_546 Order 2184 mV = 21 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^21*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^13 ] C261.20 : Type {4,108}_540 Order 2160 mV = 27 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^108 ] C261.21 : Type {4,212}_530 Order 2120 mV = 53 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^53*R^2*S*R^-1*S^-2*R*S^50 ] C261.22 : Type {8,8}_260 Order 2080 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R^2*S ] C261.23 : Type {8,8}_260 Order 2080 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C261.24 : Type {8,8}_260 Order 2080 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R^-1*S*R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R^2*S ] C261.25 : Type {8,8}_260 Order 2080 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C261.26 : Type {8,16}_208 Order 1664 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C261.27 : Type {8,16}_208 Order 1664 mV = 4 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-2*R^-1*S*R^2*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R ] C261.28 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^16, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^2*R^-1*S*R^-1*S ] C261.29 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^16, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1*S*R^-1*S ] C261.30 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^16, S^-2*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R ] C261.31 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R*S^-1 ] C261.32 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^16, S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R ] C261.33 : Type {8,16}_208 Order 1664 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S*R^-1*S^2*R*S^-1 ] C261.34 : Type {8,20}_8 Order 1600 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, (R*S^-1*R)^4, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^-1*R^3*S^-1*R^-3*S^-1*R*S*R^-1*S^-2 ] C261.35 : Type {8,20}_20 Order 1600 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R^-1*S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^20 ] C261.36 : Type {8,20}_40 Order 1600 mV = 5 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^20 ] C261.37 : Type {8,56}_182 Order 1456 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R*S^-1, R*S^-1*R^-1*S*R*S^-2*R^2*S^-2*R^-1*S*R^-1*S^-5*R*S^2 ] C261.38 : Type {8,56}_364 Order 1456 mV = 14 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^2*R^-2*S^-1*R*S^-1, R*S^-2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-5*R*S^2 ] C261.39 : Type {8,72}_180 Order 1440 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^18*R^4*S^18 ] C261.40 : Type {8,72}_180 Order 1440 mV = 18 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^18*R^4*S^18 ] C261.41 : Type {12,12}_130 Order 1560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-1*R*S^-1*R^2, R^3*S^-1*R^3*S^-5, R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2 ] C261.42 : Type {12,12}_130 Order 1560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-1*R^5*S^-2*R^2*S^-1, R^3*S^-1*R^3*S^-5, S*R^-1*S^2*R*S^-1*R*S^-2*R*S^2 ] C261.43 : Type {12,12}_130 Order 1560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, R^12, (R*S^-2*R^3)^2 ] C261.44 : Type {12,12}_130 Order 1560 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, (R*S^-1*R)^4, S^-3*R*S^-1*R^2*S^-2*R*S^-2 ] C261.45 : Type {12,12}_130 Order 1560 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R*S^-1*R ] C261.46 : Type {12,12}_130 Order 1560 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S*R^-2*S*R^-1*S*R^-1*S^-2 ] C261.47 : Type {12,44}_330 Order 1320 mV = 11 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^11*R^-4*S^4*R^-1*S^-2*R^-2*S^-2*R*S^3 ] C261.48 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^2*S^-2*R^2*S^-1*R*S^2*R^-1*S^-1 ] C261.49 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^-3 ] C261.50 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R^16, S^-2*R^-1*S^11*R^-1*S^-3 ] C261.51 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S^-2*R^-1*S^11*R^-1*S^-3 ] C261.52 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^3*S*R^-2*S^-1*R*S, S^-1*R^2*S^-5*R^-1*S^2*R^-5*S^-8 ] C261.53 : Type {16,32}_160 Order 1280 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, R^16, S^-1*R^2*S^-5*R^-1*S^2*R^-5*S^-8 ] C261.54 : Type {16,48}_78 Order 1248 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2, R^16 ] C261.55 : Type {16,48}_156 Order 1248 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R*S^-1*R*S^-1*R^2*S^-2*R*S^3 ] C261.56 : Type {20,20}_130 Order 1300 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2 ] C261.57 : Type {20,20}_130 Order 1300 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S*R^-1*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S ] C261.58 : Type {20,60}_60 Order 1200 mV = 15 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^-2*R^-1*S^3*R*S^-1*R^-1*S^2*R^-1*S^-4, R^4*S^-3*R^9*S^-3*R ] C261.59 : Type {24,24}_52 Order 1248 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R^6*S*R^-2*S^2, R^2*S^-3*R^4*S^-2*R*S^-1*R^3*S^-2*R^2*S^-2*R^2 ] C261.60 : Type {24,24}_52 Order 1248 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R^6*S^-3*R^2 ] C261.61 : Type {24,24}_52 Order 1248 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R*S^-1*R^-1*S*R^3*S*R^-2*S^-1*R*S, S^3*R^-1*S^3*R^-17 ] C261.62 : Type {24,24}_52 Order 1248 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, (R*S^-3*R^2)^2, S*R*S^-1*R^-1*S*R^3*S^-1*R*S*R^-1*S*R^-1 ] C261.63 : Type {24,24}_52 Order 1248 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-1*S*R^2*S^-2*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S, R^2*S^-3*R^13*S^-2*R*S^-3 ] C261.64 : Type {24,24}_52 Order 1248 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-1*S*R^2*S^-2*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-2 ] C261.65 : Type {24,24}_104 Order 1248 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, S*R^-1*S^2*R^3*S*R^-1*S*R^-2 ] C261.66 : Type {24,24}_104 Order 1248 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^2*S^-2*R^2*S^-1*R*S^2 ] C261.67 : Type {24,24}_104 Order 1248 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, R^-2*S^2*R^3*S^2*R^-2*S, R^-1*S*R^6*S^-3*R*S*R^-1 ] C261.68 : Type {24,24}_104 Order 1248 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, (R*S^-2*R^3)^2, (R*S^-4*R)^2, S^2*R^6*S^-1*R^3*S^2 ] C261.69 : Type {24,40}_30 Order 1200 mV = 10 mF = 6 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1, S^2*R*S^-1*R^-1*S*R*S^-1*R^-3*S^5 ] C261.70 : Type {24,40}_60 Order 1200 mV = 10 mF = 6 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^2*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S*R^-1, R^-1*S*R*S^-1*R^-1*S^2*R^-2*S^2*R^-1*S^-4 ] C261.71 : Type {44,44}_26 Order 1144 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, R^-7*S^2*R^-1*S^5*R^-1*S^3*R^-1*S*R^-1*S*R^-10*S^7*R^-1*S^3 ] C261.72 : Type {56,56}_20 Order 1120 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-2*S^20*R^-3*S^8*R^-12*S^7*R^-1*S^3 ] C261.73 : Type {56,56}_20 Order 1120 mV = 14 mF = 14 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2, R^-2*S^2*R^-1*S*R^-14*S^6*R^-1*S ] C261.74 : Type {84,84}_26 Order 1092 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S^3*R^3*S^-1*R*S^2, R*S^-1*R^2*S^-16*R^2*S^-3*R^2*S^-1*R*S^-1*R^8*S^-3*R ] C261.75 : Type {84,84}_26 Order 1092 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, S*R^-1*S^2*R^-1*S^4*R^-1*S^7*R^-14*S^5*R^-1*S*R^-3*S ] C261.76 : Type {108,108}_10 Order 1080 mV = 27 mF = 27 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-71*S^4*R^-1*S^7*R^-12*S^8*R^-3 ] C261.77 : Type {212,212}_10 Order 1060 mV = 53 mF = 53 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-69*S^4*R^-1*S^4*R^-3*S*R^-11*S^8*R^-3 ] Genus 262 C262.1 : Type {4,12}_174 Order 3132 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R*S^-3*R*S^4, S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-2*R^-2*S^-2*R^2*S^-2*R*S^-1*R ] C262.2 : Type {4,120}_120 Order 2160 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^30*R^2*S^2*R^-1*S^-4*R*S^24 ] C262.3 : Type {6,90}_90 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^15*R^2*S^4*R^-2*S^11 ] C262.4 : Type {12,72}_72 Order 1296 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, R^-1*S*R*S^-3*R^-4*S^-8 ] C262.5 : Type {18,24}_72 Order 1296 mV = 4 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^4*S*R^-1*S^-1*R, S^24 ] C262.6 : Type {21,42}_58 Order 1218 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S^3*R^4*S^-1*R*S*R^-1*S, S*R^-1*S*R^-1*S^3*R^-7*S*R^-1*S*R^-1*S^3 ] C262.7 : Type {21,42}_58 Order 1218 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^2*R^-1*S^2, R^-2*S*R^4*S^-1*R*S^2*R^-1, R^-5*S^2*R^-6*S*R^-5*S*R^-1 ] C262.8 : Type {21,42}_58 Order 1218 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1, R^-1*S*R^-1*S*R^4*S^-2*R*S^2*R^-1, R^-1*S*R^-1*S^2*R^-4*S*R^-6*S^2*R^-3 ] C262.9 : Type {120,120}_6 Order 1080 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^5*S^3*R^-1, R^-2*S*R^-1*S*R^-29*S^3*R^-5*S*R^-14*S*R^-2 ] Genus 263 [None] Genus 264 [None] Genus 265 C265.1 : Type {4,48}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S*R^-1*S^-1*R*S^-1, R^-1*S*R^-1*S^3*R^-1*S*R^-1*S*R^-1*S*R^3*S*R^-1*S^2*R^-1*S^-1*R*S^-2*R*S^3 ] C265.2 : Type {6,36}_18 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^-2*S*R*S^-1*R^2*S*R^-1*S^-3, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1 ] C265.3 : Type {6,36}_18 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-2*R^3*S^2*R^-1, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1 ] C265.4 : Type {6,36}_72 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S*R^-1*S*R^2*S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R^2*S*R^-1, R*S^-1*R^2*S^-1*R^2*S^-1*R^-1*S*R^2*S^8 ] C265.5 : Type {9,12}_72 Order 1728 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^-2*R*S^-3*R*S^-1*R^-1*S^2*R^-1*S^2*R^-1*S^-2 ] C265.6 : Type {9,12}_72 Order 1728 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, (R*S^-5)^2, S^-1*R^-1*S^2*R*S^-1*R*S^-3*R*S^-1*R^-2*S^2*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^-2 ] C265.7 : Type {12,108}_108 Order 1296 mV = 18 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^18*R^-2*S^4*R^-1*S^-1*R*S^13 ] C265.8 : Type {15,30}_44 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S^-2*R^-1*S*R^3*S^2*R^-2*S^-1, S^2*R^-2*S*R^3*S^-3*R*S^2, R^-15 ] C265.9 : Type {15,30}_44 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^4*S^-1*R*S*R^-1*S, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, R^-15 ] C265.10 : Type {16,40}_40 Order 1280 mV = 10 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^-2*S*R^3*S^2*R^-1*S, S^11*R^-1*S^-2*R^3*S*R^-2*S^6 ] C265.11 : Type {48,48}_24 Order 1152 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R*S^-1*R^4*S^2*R^-3, S^3*R*S^-1*R^2*S^-1*R*S^3, R^11*S*R^-1*S^-3 ] C265.12 : Type {48,48}_24 Order 1152 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, R*S^-3*R^-1*S^3*R*S^-1*R^-6*S^-1*R*S*R^-1*S^-1*R*S^2 ] C265.13 : Type {70,70}_4 Order 1120 mV = 10 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R*S^-1*R*S^-51*R*S^-1*R^13*S^-1 ] Genus 266 C266.1 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S^2*R^-1*S, R^-13 ] C266.2 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-1*S^2*R*S^-1*R^2*S^-1*R*S^2*R^-1, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1, R^-13 ] C266.3 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-13, S*R^-6*S^5*R^-1 ] C266.4 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, R^-13 ] C266.5 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, R^-2*S*R*S^-2*R^-3*S^-3, R^-13, S^2*R^-5*S^2*R^-2*S^2 ] C266.6 : Type {13,26}_106 Order 1378 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^-13, S*R^-6*S^2*R^-1*S^3 ] Genus 267 C267.1 : Type {3,12}_1064 Order 6384 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-3*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-1 ] C267.2 : Type {3,12}_1064 Order 6384 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2 ] C267.3 : Type {12,48}_112 Order 1344 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-2*R^2*S^-1*R^2*S^-5 ] C267.4 : Type {12,48}_112 Order 1344 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^6*S^-1*R*S^-2*R, S^-2*R^5*S^-3*R*S^-1, S^3*R*S^-1*R^3*S*R^-1*S^-1*R*S^2 ] C267.5 : Type {12,48}_112 Order 1344 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^-3*R^-1*S^3*R^-2*S^2*R*S^-3*R*S^2*R^-1*S^-3 ] C267.6 : Type {12,48}_112 Order 1344 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S^-1*R*S^-1, S^-2*R^-1*S*R*S^-4*R^-1*S*R^-2*S^4*R^-1*S^-4 ] Genus 268 C268.1 : Type {6,270}_270 Order 1620 mV = 90 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^45*R^2*S*R^-2*S^44 ] C268.2 : Type {12,216}_216 Order 1296 mV = 72 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^12, S^18*R^-2*S*R^-1*S^-4*R*S^13 ] C268.3 : Type {42,189}_54 Order 1134 mV = 63 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^3*R^-2*S^2*R^-10*S^4 ] Genus 269 C269.1 : Type {6,6}_268 Order 3216 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-2*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-3*R^2*S*R^-1*S^-2*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1 ] C269.2 : Type {6,15}_670 Order 2010 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-2*S^-1*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-3*S*R^-2*S^-1*R^2*S^-1*R*S*R^-1*S^-2*R^-2*S^-2 ] C269.3 : Type {11,22}_134 Order 1474 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-11, S*R^-1*S*R^-3*S^3*R^-1*S, S*R^-2*S*R^3*S^-2*R*S^2 ] C269.4 : Type {11,22}_134 Order 1474 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-11, S*R^-2*S*R^-2*S^4*R^-1 ] C269.5 : Type {11,22}_134 Order 1474 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-11, R^-1*S*R^-4*S*R^-2*S^2 ] C269.6 : Type {11,22}_134 Order 1474 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-11, S^4*R^-2*S^3*R^-1*S ] C269.7 : Type {11,22}_134 Order 1474 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^3*R^3*S^-1*R*S^2, R^-11 ] C269.8 : Type {12,12}_134 Order 1608 mV = 2 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^12, S*R^-1*S^2*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2 ] Genus 270 [None] Genus 271 C271.1 : Type {3,36}_72 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^-1*R*S^6*R^-1*S, S^2*R*S^-2*R*S^-3*R^-1*S^2*R^-1*S^-3*R*S^3*R^-1*S ] C271.2 : Type {4,8}_120 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^-1*R^-1*S^2*R^-1*S*R*S^-1*R^-1*S*R^2*S^4*R^-1*S^3*R*S^-1 ] C271.3 : Type {4,8}_120 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S ] C271.4 : Type {4,12}_10 Order 3240 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^12, S^-1*R^-1*S^3*R*S^-1*R*S^2*R^-1*S^-3 ] C271.5 : Type {4,12}_10 Order 3240 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^12, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^4, S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1, S*R^-1*S*R*S^-2*R*S^-1*R^-2*S^-1*R*S*R^-1*S^3*R^-1 ] C271.6 : Type {4,12}_30 Order 3240 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, S^12, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S ] C271.7 : Type {4,16}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R*S^-1*R^-1*S*R*S^-1*R^-2*S^2*R^-1*S^-1*R*S^-2, S*R*S^-1*R*S^-1*R*S^-1*R*S^6 ] C271.8 : Type {4,16}_80 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^3*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^3 ] C271.9 : Type {4,16}_80 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^-1*R*S^2*R^-1*S^-1 ] C271.10 : Type {4,16}_80 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, (R*S^-7)^2, S^16 ] C271.11 : Type {4,16}_80 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^2*R*S^-2*R*S^-1*R^-1*S*R^-1*S^-2*R*S*R^-1*S, S^16 ] C271.12 : Type {4,16}_240 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C271.13 : Type {4,16}_240 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-2*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-1 ] C271.14 : Type {4,24}_8 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (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, R*S^-5*R^-1*S^3*R^-1*S^-1*R*S^-1 ] C271.15 : Type {4,24}_24 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-1)^6, S^24 ] C271.16 : Type {4,28}_210 Order 2520 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1 ] C271.17 : Type {4,64}_64 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^64 ] C271.18 : Type {4,64}_64 Order 2304 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^2*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S, S^16*R^2*S*R^-1*S^-3*R*S^12 ] C271.19 : Type {4,112}_560 Order 2240 mV = 28 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^112 ] C271.20 : Type {4,112}_560 Order 2240 mV = 28 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^28*R^2*S^2*R^-1*S^-2*R*S*R^-1*S^-1*R*S^22 ] C271.21 : Type {4,220}_110 Order 2200 mV = 55 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^55*R^2*S*R^-1*S^-2*R*S^52 ] C271.22 : Type {6,8}_12 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, R*S^-4*R*S^-1*R*S^4*R*S^-1 ] C271.23 : Type {6,8}_18 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-1*R^2*S^-1*R*S^-2*R^-2*S*R^-2*S*R^-2*S*R^-2*S^-1*R ] C271.24 : Type {6,8}_36 Order 2592 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-1*R)^2, R^-1*S^-4*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^2*R^-1*S ] C271.25 : Type {6,8}_36 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, (R*S^-1*R)^6 ] C271.26 : Type {8,8}_30 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S*R^-2*S*R^3*S^-2*R*S^2 ] C271.27 : Type {8,8}_30 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^-1*S^-4*R*S^-1*R^2*S*R^-3*S*R^-1 ] C271.28 : Type {8,16}_48 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S, S*R^-1*S*R^-1*S*R^3*S*R^-1*S*R^-1*S*R^-1 ] C271.29 : Type {8,16}_48 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^-3*R^4*S^-5, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S, (R*S^-1)^6 ] C271.30 : Type {12,12}_10 Order 1620 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^5, R^12, S^-1*R^-1*S*R^4*S^-1*R*S^-3, (R*S^-2)^4, (R^-2*S)^4, R^-1*S*R^6*S^-1*R^3*S*R^-1 ] C271.31 : Type {12,12}_10 Order 1620 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S^-1*R*S^-1*R^3*S^-3*R, R^12 ] C271.32 : Type {12,12}_30 Order 1620 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, R^12, S^-1*R*S^-3*R^2*S^-3*R*S^-1, R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^2*R^-2*S*R^-1*S^-2 ] C271.33 : Type {12,24}_120 Order 1440 mV = 2 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^24 ] C271.34 : Type {12,24}_120 Order 1440 mV = 2 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-2*R, S^2*R*S^-2*R^-1*S*R*S^-1*R^2*S^-1*R*S^5 ] C271.35 : Type {12,24}_120 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, R^12, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1 ] C271.36 : Type {12,24}_120 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, R^12, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1 ] C271.37 : Type {12,24}_120 Order 1440 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^24 ] C271.38 : Type {12,24}_120 Order 1440 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1, R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S^6 ] C271.39 : Type {12,132}_110 Order 1320 mV = 33 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^11*R*S^-1*R*S^3*R^-1*S^-3*R*S^4 ] C271.40 : Type {16,16}_30 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^-2*S^2*R^3*S*R^-1*S^-3, R^16, S^-1*R^8*S^-7 ] C271.41 : Type {16,16}_30 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S^3, S*R*S^-2*R^3*S*R^-2*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R^16 ] C271.42 : Type {16,16}_30 Order 1440 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-2*S^-1*R*S^-1*R ] C271.43 : Type {16,16}_60 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^-1*R*S^-1*R*S, S*R^-1*S*R^4*S^-1*R*S^3, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C271.44 : Type {16,16}_60 Order 1440 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S^3, R*S^-1*R^-1*S*R^3*S^-2*R*S^-2 ] C271.45 : Type {16,16}_60 Order 1440 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1 ] C271.46 : Type {18,36}_18 Order 1296 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R*S^-2*R^4*S^5*R^-1, R^-1*S^2*R^-4*S*R^-6*S*R^-1*S^2 ] C271.47 : Type {18,36}_72 Order 1296 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S^-1*R*S^-3*R^-2*S^-1*R*S^-3*R, S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^2*R^-1*S^-1 ] C271.48 : Type {24,24}_6 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-2*R^3*S*R^-2*S^2, S*R^-2*S^3*R^-1*S*R^-8*S*R^-1*S^2*R^-2*S^2 ] C271.49 : Type {24,24}_6 Order 1296 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^-2*S*R^4*S*R^-1*S^-1*R*S, R^-1*S*R^-6*S*R^-8*S*R^-1*S*R^-4 ] C271.50 : Type {24,24}_6 Order 1296 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, R^-1*S*R^5*S^-5 ] C271.51 : Type {24,120}_10 Order 1200 mV = 30 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^4*R*S^-1*R^2*S^-2*R*S^3, R^2*S^-4*R*S^-3*R^6*S^-2*R^2*S^-1*R*S^-2 ] C271.52 : Type {24,120}_20 Order 1200 mV = 30 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R*S^-1*R^-3*S^3*R^-2*S^6 ] C271.53 : Type {28,28}_30 Order 1260 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-2*S*R^-1*S^2*R^-1*S*R^-1*S ] C271.54 : Type {63,126}_18 Order 1134 mV = 21 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^3*R^-1, S*R*S^-1*R^3*S^2*R^-2, S^-3*R^35*S^-1*R*S^-1*R^3*S^-1*R^10*S^-1*R^2*S^-3*R^2 ] C271.55 : Type {64,64}_6 Order 1152 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R^5*S*R^-1*S^2, S^43*R^-1*S^6*R^-13*S ] C271.56 : Type {64,64}_12 Order 1152 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^-3*R^2*S^-3*R^3*S^-1*R^4*S^-2*R^12*S^-1*R ] C271.57 : Type {112,112}_10 Order 1120 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-75*S^4*R^-1*S^7*R^-12*S^7*R^-1*S^3 ] C271.58 : Type {112,112}_20 Order 1120 mV = 28 mF = 28 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-1*S*R^-21*S^10*R^-12*S^7*R^-1*S^2*R^-1 ] C271.59 : Type {220,220}_10 Order 1100 mV = 55 mF = 55 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^2*S^-1*R*S, S*R^-1*S^77*R^-1*S^7*R^-12*S^8*R^-3 ] Genus 272 C272.1 : Type {5,10}_542 Order 2710 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R*S^-2*R^-1*S*R^-1*S*R^-2*S*R^-1*S^-2*R*S^3 ] C272.2 : Type {5,10}_542 Order 2710 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S^5*R^2*S^2 ] C272.3 : Type {6,6}_542 Order 3252 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, R*S^-3*R*S^-1*R^-1*S*R*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-2*R*S^2*R^-1*S^-3*R^-2*S^-1*R*S^3*R*S^-2*R^-1*S^2*R^2*S*R^-1*S^-3*R^2*S*R^-1*S^-3*R^2*S*R^-1*S^-2 ] Genus 273 C273.1 : Type {4,8}_136 Order 4352 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1 ] C273.2 : Type {4,8}_136 Order 4352 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C273.3 : Type {4,8}_136 Order 4352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C273.4 : Type {4,8}_272 Order 4352 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C273.5 : Type {4,12}_204 Order 3264 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^2*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C273.6 : Type {4,12}_408 Order 3264 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1 ] C273.7 : Type {4,20}_340 Order 2720 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S ] C273.8 : Type {4,36}_612 Order 2448 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^2*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S*R^-1, S^36 ] C273.9 : Type {4,68}_34 Order 2312 mV = 17 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R, S^17*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^9 ] C273.10 : Type {6,20}_60 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1, S^20 ] C273.11 : Type {8,8}_68 Order 2176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R*S^-1*R^3*S^-1*R^-4*S*R^-1*S^-1*R*S ] C273.12 : Type {8,8}_68 Order 2176 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S*R^-1*S^-1*R*S^-2 ] C273.13 : Type {8,8}_68 Order 2176 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-2 ] C273.14 : Type {8,8}_136 Order 2176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^2*S^-2*R^3*S*R^-1*S^2*R^-2, S*R*S^-1*R^3*S^-1*R^-2*S^-1*R*S*R^-3*S, S^-1*R*S^-4*R^-3*S*R^-1*S^2*R^-1*S^-2 ] C273.15 : Type {8,8}_136 Order 2176 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^2*S^-2*R^3*S*R^-1*S^2*R^-2, S*R^-1*S^3*R^4*S^4*R^-1*S^2 ] C273.16 : Type {8,8}_136 Order 2176 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^3*R^3*S^3*R^-1, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-2 ] C273.17 : Type {8,8}_136 Order 2176 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R^2*S*R^-1*S^-1*R*S^-1*R*S ] C273.18 : Type {8,8}_136 Order 2176 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C273.19 : Type {8,8}_136 Order 2176 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C273.20 : Type {8,8}_136 Order 2176 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R^-1*S^2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S ] C273.21 : Type {8,24}_204 Order 1632 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-1*R^3*S*R^-1*S^-1*R*S^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-3*R^2*S^-2*R^2*S^-7 ] C273.22 : Type {8,24}_204 Order 1632 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-2*R*S^-2*R^-2*S^-1*R^3*S^-1, S^-3*R^2*S^-2*R^2*S^-7 ] C273.23 : Type {8,24}_204 Order 1632 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C273.24 : Type {8,24}_204 Order 1632 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C273.25 : Type {8,48}_24 Order 1536 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^-3*R*S^-1*R^3*S^2*R^-1*S^-1*R*S^-1, R^-1*S^3*R*S^-2*R^2*S^-7 ] C273.26 : Type {8,48}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-1*R*S^-1*R*S^-2*R^2*S^2*R^-1*S^-1*R*S^-1, R^-1*S^3*R*S^-2*R^2*S^-7 ] C273.27 : Type {8,48}_24 Order 1536 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-1*R*S^-1*R*S^-2*R^2*S^2*R^-1*S^-1*R*S^-1, S^5*R*S^-1*R^2*S^-5*R*S ] C273.28 : Type {8,48}_24 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R, R^-1*S*R^2*S^-1*R^2*S^-2*R*S^-2, S*R*S^-3*R^2*S^4*R^-1, R*S^-3*R^-3*S^-1*R*S*R^-3*S^-1, S^-1*R^-1*S^5*R^-3*S^-1*R*S^3*R^-1*S^-2 ] C273.29 : Type {8,48}_24 Order 1536 mV = 12 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-2*R^-1*S*R^3*S^-2*R^-1*S*R^-1*S^-6 ] C273.30 : Type {12,12}_68 Order 1632 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C273.31 : Type {12,12}_68 Order 1632 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R^2*S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S^-2*R*S^-1*R*S^-1 ] C273.32 : Type {12,16}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R*S^-1*R^2*S^-3*R^2, (S^-1*R^2*S^-1)^3, R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1, R^2*S^-1*R^5*S*R^-3*S^2 ] C273.33 : Type {12,16}_12 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^12, (R*S^-1*R^4)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-2*R^6*S^-6, S*R^-2*S*R^4*S*R^-2*S*R^-2 ] C273.34 : Type {12,16}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^12, (R*S^-1*R^4)^2, (R*S^-1*R)^4, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^-2*R^6*S^-6 ] C273.35 : Type {12,16}_48 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, R^-1*S*R^5*S*R^-1*S*R^-1*S, S^2*R^-1*S*R^3*S^-2*R^2*S, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2 ] C273.36 : Type {12,16}_48 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1)^4, R^12, (R*S^-1*R^4)^2, R^-2*S^2*R^3*S^-1*R*S^-3, S^-2*R^6*S^-6 ] C273.37 : Type {12,16}_48 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^12, (R*S^-1*R^4)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^-2*R^6*S^-6, R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^-1*R*S^-1 ] C273.38 : Type {12,16}_48 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^12, (R*S^-1*R^4)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^-2*R^6*S^-6, R^2*S^-1*R*S^-1*R^4*S*R^-2*S*R^-1*S^2 ] C273.39 : Type {20,20}_68 Order 1360 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-1*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R, R*S^-1*R^12*S^-2*R*S^-3 ] C273.40 : Type {21,21}_4 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S*R^7*S^3*R^-1*S*R^-1, R^2*S^-2*R^2*S^-1*R^6*S^-3*R*S^-2*R*S^-1 ] C273.41 : Type {36,36}_34 Order 1224 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^2, R^-2*S^3*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C273.42 : Type {68,68}_34 Order 1156 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R, R*S^-1*R^2*S^-6*R^13*S^-1*R*S^-1*R^3*S^-1*R^3*S^-1 ] C273.43 : Type {140,140}_4 Order 1120 mV = 20 mF = 20 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^101*R^-1*S*R^-13*S^19*R^-2*S ] C273.44 : Type {140,140}_4 Order 1120 mV = 20 mF = 20 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-1*S^2, R*S^-1*R*S^-51*R*S^-1*R^10*S^-1*R*S^-1*R ] Genus 274 C274.1 : Type {3,12}_546 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1 ] C274.2 : Type {3,12}_546 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-2*R*S^3*R^-1*S^-3*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C274.3 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S*R^-1*S^3*R^-1*S ] C274.4 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^3*R^-1*S^2*R ] C274.5 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, R*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R*S^-1*R, R^-1*S*R^2*S^2*R^-1*S^-3*R*S^-1*R^-2*S^3*R^-1*S*R^-1*S*R^-1*S^-2 ] C274.6 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R, R^2*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R*S^-2*R^-1*S ] C274.7 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R^-1*S^-1*R^2*S*R^-1*S*R^2*S^-1*R^-2*S*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-2 ] C274.8 : Type {6,6}_546 Order 3276 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S^-3*R*S^-1*R*S^3*R^-1*S, R^-1*S^-1*R*S*R^-1*S^-2*R^-2*S*R^-2*S*R^2*S^-1*R^-2*S*R^-2*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S*R*S^-1*R^-1 ] C274.9 : Type {6,6}_546 Order 3276 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^3*R*S^-2*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1 ] C274.10 : Type {6,6}_546 Order 3276 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-2*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-3*R*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^3*R^-2*S^-1*R*S^3*R^-2*S^-1*R*S^-1*R*S ] C274.11 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-1*R*S^2*R^-1*S^-2*R*S^-3*R^2*S^2*R^-1*S ] C274.12 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S^-1*R*S^3*R^-2*S^-1*R*S ] C274.13 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^12, S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R^2*S*R^-2*S^-1 ] C274.14 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^12, S*R*S^-2*R^-1*S*R^-3*S^-1*R^2*S^-1*R*S^2 ] C274.15 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^12, S*R^-1*S^2*R*S^-1*R^2*S*R^-1*S^3*R^-1 ] C274.16 : Type {6,12}_364 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^12, S^2*R*S^-1*R^-1*S*R^2*S*R^-1*S^-2*R*S ] C274.17 : Type {6,12}_364 Order 2184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^2*R*S^-1*R^-1*S*R ] C274.18 : Type {6,12}_364 Order 2184 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R^3*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^-2*S*R^3*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R^-3*S^2*R*S^-1 ] C274.19 : Type {6,24}_156 Order 1872 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-7*R^3*S^-5, (S^2*R^-1*S^2)^3, S*R*S^-1*R^-1*S*R^-1*S^2*R*S^-2*R*S^-1*R*S^-2*R*S^3*R^-1*S ] C274.20 : Type {6,24}_312 Order 1872 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^24 ] C274.21 : Type {6,24}_312 Order 1872 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^2*S^-1*R^2*S^-5, S^-2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^3*R^-2*S^-1*R*S^-2*R*S^-1 ] C274.22 : Type {6,24}_312 Order 1872 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S*R*S^-1*R^2*S^-1*R^-3*S^4*R^-2*S ] C274.23 : Type {6,24}_312 Order 1872 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-1*S*R^-2*S*R^-2, S^24 ] C274.24 : Type {6,42}_6 Order 1764 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, S^3*R^-1*S*R^2*S^-3*R*S, (R*S^-1)^6, S*R*S^-3*R^-3*S^-1*R^2*S^3 ] C274.25 : Type {6,42}_42 Order 1764 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^2*R*S^-2*R*S^-2*R^4*S^-1*R*S^2*R^-1*S, S^-5*R^2*S^-1*R^2*S^-8 ] C274.26 : Type {6,42}_42 Order 1764 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-3*R^-1*S*R*S^-3*R^2*S^-1*R*S^4*R^-1*S^-2 ] C274.27 : Type {6,42}_42 Order 1764 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^2*S*R^-1*S^-2, S^42 ] C274.28 : Type {6,42}_42 Order 1764 mV = 14 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S^-1*R, S^42 ] C274.29 : Type {6,66}_286 Order 1716 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S^-3*R, S^-8*R^-1*S^3*R*S^-1*R*S^2*R^-1*S^-8 ] C274.30 : Type {6,66}_286 Order 1716 mV = 22 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R*S^-1*R^-2*S*R^-2*S*R^3*S*R^-2*S^-1*R^2*S*R^-1*S^-1*R, S^-10*R^-1*S*R^3*S^-1*R*S*R^-1*S^-5*R^-2*S^-4 ] C274.31 : Type {6,120}_280 Order 1680 mV = 20 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^-1*S*R^2*S^-3*R, S^20*R*S^-2*R^2*S^-4*R*S^14 ] C274.32 : Type {6,120}_280 Order 1680 mV = 40 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^20*R^-2*S*R^-1*S^-4*R*S*R^-2*S^14 ] C274.33 : Type {9,18}_182 Order 1638 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S^-1*R*S ] C274.34 : Type {9,18}_182 Order 1638 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S*R*S^-1*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^2*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-1*R*S ] C274.35 : Type {9,36}_42 Order 1512 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^-5*R^-3*S^-7, S^2*R*S^-1*R^-1*S^3*R^2*S^4*R^-1*S^2, S*R^-1*S^2*R^-1*S*R^-1*S^3*R^-1*S^-3*R*S^2 ] C274.36 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S^-1*R*S^-1, S^18 ] C274.37 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^18 ] C274.38 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, (R*S^-2*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, R^-1*S^3*R^4*S^4*R^-1*S ] C274.39 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S*R*S^-1*R^4*S^-2*R*S^2 ] C274.40 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-1*S^-2 ] C274.41 : Type {12,18}_252 Order 1512 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S^-1*R^2*S^2 ] C274.42 : Type {12,96}_224 Order 1344 mV = 16 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-1*R^4*S^-2*R*S^-2, S^-3*R^-1*S^3*R^-2*S^2*R*S^-1*R*S^6*R*S^-1 ] C274.43 : Type {12,96}_224 Order 1344 mV = 32 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S^-1*R*S^-1, S^3*R*S^-4*R^-1*S*R^-2*S*R^-1*S^-2*R*S^5 ] C274.44 : Type {18,18}_78 Order 1404 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^5, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S*R*S^-2*R^3*S^3*R^-2, S^-1*R^-1*S^2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2, R*S^-3*R^9*S^-3*R^2 ] C274.45 : Type {18,18}_78 Order 1404 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^-1*S*R^-2*S^2*R^-7*S*R^-2*S, R^-2*S^-1*R*S^-1*R^2*S^-1*R^-3*S*R^-2*S*R^-1*S^-2*R^2*S^-1*R^-1 ] C274.46 : Type {18,90}_70 Order 1260 mV = 15 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-2*R^-1*S^3*R^2*S^2*R^-1*S^-3, R^-1*S^3*R^-1*S*R^-1*S*R^-4*S*R^-1*S^4 ] C274.47 : Type {18,90}_70 Order 1260 mV = 30 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^-1*S*R*S^-1*R^2*S^-2*R^-1*S^4*R^-1*S^-2, R^2*S^-1*R^11*S^-1*R^3 ] C274.48 : Type {24,27}_108 Order 1296 mV = 9 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S*R^2*S^-1*R^4*S*R^-1*S*R^-3, S^-1*R^-1*S*R*S^-1*R^5*S*R^-1*S^-5 ] C274.49 : Type {30,30}_42 Order 1260 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S*R^6*S^5, R*S^-6*R^2*S^-2*R^5*S^-2*R^9*S^-2*R ] C274.50 : Type {30,30}_42 Order 1260 mV = 5 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S^2*R*S^-2*R*S^-2*R^-2*S^-1*R*S^2*R^-1*S, R^-1*S^5*R^-3*S*R^-16*S*R^-2*S ] C274.51 : Type {42,84}_28 Order 1176 mV = 14 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, R^-3*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-3*S^2*R^-3*S^3*R^-10*S*R^-3*S^3*R^-2 ] C274.52 : Type {42,84}_28 Order 1176 mV = 28 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, R^-2*S*R^3*S^-1*R*S^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-4*S*R^-1*S^2*R^-12*S^4 ] C274.53 : Type {45,90}_26 Order 1170 mV = 15 mF = 15 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R*S^-1*R*S^2*R^-1*S^2, S*R^-1*S*R^-2*S*R^-2*S*R^-2*S*R^-3*S^2*R^-1*S*R^-2*S^2*R^-11*S*R^-1*S^6*R^-1*S*R^-1 ] C274.54 : Type {81,162}_14 Order 1134 mV = 27 mF = 27 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, S^3*R^-44*S^7*R^-1*S*R^-1*S*R^-14*S^2*R^-1*S^3*R^-1*S*R^-1 ] Genus 275 C275.1 : Type {4,8}_1096 Order 4384 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1*R*S^-1*R*S^-1 ] C275.2 : Type {4,8}_1096 Order 4384 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1*R*S^-1*R*S^-1 ] C275.3 : Type {4,12}_822 Order 3288 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, 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*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R^2*S^2*R*S^-1*R^2*S^2*R^2*S^2*R^-1 ] C275.4 : Type {8,8}_274 Order 2192 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R*S^-1*R^3*S^-1*R^3*S^-1*R^2*S*R^-1*S^2 ] C275.5 : Type {8,8}_274 Order 2192 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, 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*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^-1 ] C275.6 : Type {8,8}_548 Order 2192 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, 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*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^2*R^2*S^2*R^-1 ] C275.7 : Type {12,12}_274 Order 1644 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^2 ] Genus 276 C276.1 : Type {5,10}_110 Order 2750 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-2*R^-1*S*R*S^-1*R^-1*S*R^2*S^5*R^-1*S*R^-1*S^-1 ] C276.2 : Type {5,10}_110 Order 2750 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-4*R*S^-2*R^-1*S*R^2*S^2*R^-1*S^5*R ] C276.3 : Type {10,15}_330 Order 1650 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^-15 ] C276.4 : Type {10,15}_330 Order 1650 mV = 3 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R*S^-1*R^-2*S^-1*R^4*S^-1, S^-15 ] C276.5 : Type {10,65}_286 Order 1430 mV = 13 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^2*R*S^-1*R^-1*S^3*R^-2*S*R^-2*S^6 ] C276.6 : Type {10,65}_286 Order 1430 mV = 13 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R*S^-1*R^-2*S^-1*R^4*S^-1, S^-2*R^-1*S^3*R*S^-1*R^-2*S^-7 ] C276.7 : Type {20,30}_132 Order 1320 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3*R)^2, S^3*R^4*S^-1*R*S^2*R^-1 ] C276.8 : Type {20,30}_132 Order 1320 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3*R)^2, S*R*S^-1*R^4*S*R^-2*S*R^-1 ] C276.9 : Type {20,30}_132 Order 1320 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^7*S^2*R^-3*S, S^-2*R^6*S^-1*R*S*R^-1*S^-2 ] C276.10 : Type {20,30}_132 Order 1320 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S*R^7*S^2*R^-3*S, R*S^-2*R^5*S*R^-1*S^-3*R ] C276.11 : Type {25,50}_50 Order 1250 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^2*S^-1*R^3*S^4*R^-1, S*R^7*S*R^-2*S^2*R^-1, R^2*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R^8*S^-3*R*S^-2 ] C276.12 : Type {25,50}_50 Order 1250 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^2*S^-1*R^3*S^4*R^-1, S*R^7*S^3*R^-3, R^3*S^-2*R^2*S^-3*R^6*S^-1*R*S^-2*R^5 ] Genus 277 C277.1 : Type {6,72}_36 Order 1728 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-1*R^2*S, S*R^-1*S*R^2*S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R^2*S*R^-1, R^-1*S^2*R*S^-2*R^-1*S*R^2*S*R^-1*S^-1*R^2*S^-5 ] C277.2 : Type {6,72}_72 Order 1728 mV = 24 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R^-1*S*R^2*S^-1*R^2*S^-1*R^2*S*R^-1*S*R^-2*S^-1*R*S*R^-1, S^-12*R^2*S^-1*R*S*R^-1*S^-1*R^2*S^-5*R^-2*S^-4 ] C277.3 : Type {6,279}_558 Order 1674 mV = 93 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-47*R^-2*S^-1*R^2*S^-45 ] C277.4 : Type {16,160}_160 Order 1280 mV = 40 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, S^-1*R^6*S*R^-1*S^-1*R*S^-1, S^20*R^-2*S^2*R^-1*S^-6*R^-1*S^12 ] Genus 278 C278.1 : Type {6,6}_554 Order 3324 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R^2*S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-2*S*R*S^-1*R^-1*S*R^-2*S*R*S^-1*R^-1*S*R^-1*S*R ] Genus 279 C279.1 : Type {3,12}_1112 Order 6672 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R^-2*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-1 ] Genus 280 C280.1 : Type {3,12}_186 Order 6696 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^3*R^-1*S^2*R^-1*S ] C280.2 : Type {3,18}_186 Order 5022 mV = 3 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^6, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^2*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S ] C280.3 : Type {3,24}_372 Order 4464 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S*R*S^-5*R*S^-1*R*S^-5*R*S^2, (R*S^-5*R*S^-2)^2, S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S ] C280.4 : Type {6,6}_186 Order 3348 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R)^6, S*R^-1*S^-2*R*S^-3*R*S^-1*R^2*S*R^-1*S^2*R^-1*S^2*R^-1 ] C280.5 : Type {6,6}_186 Order 3348 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^-3*R^-1*S*R^2*S^3*R*S^-2*R^-1*S^2*R^2*S^2*R^-2*S^-2*R*S^-1 ] C280.6 : Type {6,6}_186 Order 3348 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^-1 ] C280.7 : Type {6,12}_372 Order 2232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^12, R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^2*S^2*R^-1*S*R^-1*S^-3 ] C280.8 : Type {6,12}_372 Order 2232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S^-1*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^-3*R*S^-1 ] C280.9 : Type {6,12}_372 Order 2232 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-2*R*S^-1*R*S^-2*R*S^-2, S^12, R^2*S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C280.10 : Type {6,12}_372 Order 2232 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, S^-1*R^-2*S*R^-2*S*R^2*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S^-1*R^2*S^-2*R^-2*S^-1*R ] C280.11 : Type {6,30}_310 Order 1860 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-2*R*S^-2*R*S^-2*R*S^-1*R*S*R^-1*S^-2 ] C280.12 : Type {6,30}_310 Order 1860 mV = 10 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^2*R^-2*S*R^-2*S*R^-3*S^-1*R^2*S^-1*R^2*S^-4 ] C280.13 : Type {8,44}_88 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^-4*S^-1*R^3*S^-1, S^11*R^3*S^-1*R*S^2*R^-1*S^-1*R*S^7 ] C280.14 : Type {9,18}_186 Order 1674 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S*R^-1*S^2*R^-1*S^2*R*S^-1*R^-1*S*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^2*R^-1*S^3*R^-1*S ] C280.15 : Type {12,24}_248 Order 1488 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-2*R^3*S*R^-1*S^-1*R, S^-3*R^4*S*R^-2*S^-2, R^-1*S^2*R^-1*S^2*R*S^-2*R^2*S^2*R^-1*S*R^-1*S^-1*R*S^2 ] C280.16 : Type {12,24}_248 Order 1488 mV = 8 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, S^4*R*S^-2*R*S^6, R^-1*S*R^3*S^-1*R*S^-1*R^-2*S*R^-2*S*R^-2*S*R^-1 ] C280.17 : Type {18,72}_36 Order 1296 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S^-1*R*S^-3*R^-2*S^-1*R*S^-3*R, S^-5*R^-2*S^-3*R*S^-2 ] C280.18 : Type {18,72}_72 Order 1296 mV = 8 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-1*S*R^-12*S*R^-1*S^2, S^12*R^-2*S*R^-1*S^-4*R*S^7 ] C280.19 : Type {18,72}_72 Order 1296 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R*S^-1*R^2*S^-1*R*S^3, S*R^8*S*R^-1*S^2*R^-3, R^-1*S*R^-3*S*R^-7*S*R^-1*S*R^-2 ] C280.20 : Type {21,42}_62 Order 1302 mV = 7 mF = 7 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S*R^2*S^-2*R*S^-2*R*S^2, R^17*S^-1*R^2*S^-1 ] C280.21 : Type {24,36}_72 Order 1296 mV = 6 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, S^2*R*S^-1*R^-1*S^3*R^-2*S^6, R^-1*S*R*S^-3*R^-10*S^-2 ] Genus 281 C281.1 : Type {4,32}_160 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^-5*R^-1*S^3*R^-1*S^-8, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2 ] C281.2 : Type {4,32}_160 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^2 ] C281.3 : Type {4,32}_160 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^-5*R^-1*S^3*R^-1*S^-8, R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2 ] C281.4 : Type {4,32}_160 Order 2560 mV = 8 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2, S^32 ] C281.5 : Type {4,60}_30 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, S^15*R^2*S*R^-1*S^-2*R*S*R^-1*S^-4*R*S^7 ] C281.6 : Type {4,60}_60 Order 2400 mV = 15 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^60 ] C281.7 : Type {4,116}_580 Order 2320 mV = 29 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^116 ] C281.8 : Type {4,144}_72 Order 2304 mV = 18 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2, S^18*R^-1*S^-1*R*S^2*R^-1*S^-3*R*S^12 ] C281.9 : Type {4,228}_570 Order 2280 mV = 57 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^57*R^2*S*R^-1*S^-2*R*S^54 ] C281.10 : Type {6,33}_308 Order 1848 mV = 11 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^2*R*S^-1*R^2*S^-1*R^2*S^-1*R^-3*S*R^-1*S^-4*R*S*R^-2 ] C281.11 : Type {6,123}_574 Order 1722 mV = 41 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-21*R^-2*S^-1*R*S^4*R^-1*S^-1*R*S^2*R^-1*S^-12 ] C281.12 : Type {8,12}_30 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, (R*S^-2*R*S^-1*R)^2, R*S^-1*R*S^-2*R^2*S^-5 ] C281.13 : Type {8,12}_30 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R^2*S^-1*R^3*S^-2*R^3, S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-2)^4, S^12, S*R*S^-1*R^-1*S*R^3*S*R^-1*S^4 ] C281.14 : Type {8,12}_30 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1, S^12, S^-2*R^2*S^-1*R^-4*S^-1*R^3*S*R^-1*S^-1 ] C281.15 : Type {8,12}_60 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, (R*S^-2)^4, S^12, S*R^-1*S*R*S^-3*R^2*S^-1*R*S^-3*R*S ] C281.16 : Type {8,12}_60 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, (R*S^-2)^4, S^12, S*R^-1*S*R*S^-3*R^2*S^-1*R*S^-3*R*S ] C281.17 : Type {8,12}_60 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^12, R*S^-1*R*S^-1*R*S^-2*R^2*S^2*R^-1*S*R^-2*S^-1 ] C281.18 : Type {8,12}_120 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-3*R*S^-3*R^2*S^-3*R*S^-3 ] C281.19 : Type {8,12}_120 Order 1920 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^12, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, S^-3*R*S^-3*R^2*S^-3*R*S^-3 ] C281.20 : Type {8,12}_120 Order 1920 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, S^12, S^-1*R^-1*S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C281.21 : Type {8,12}_120 Order 1920 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, S*R^-1*S^2*R^2*S^-1*R*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S^2*R^-2 ] C281.22 : Type {8,12}_120 Order 1920 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^12, R^-2*S^2*R^2*S^-1*R*S^-2*R*S^-1*R^-2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2 ] C281.23 : Type {8,40}_8 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R*S^-1*R^-1*S*R^3*S^-1*R*S^-3, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1 ] C281.24 : Type {8,40}_8 Order 1600 mV = 2 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-4*R^3*S^-2*R*S^-2 ] C281.25 : Type {8,40}_20 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^10*R^3*S^-8*R*S^2 ] C281.26 : Type {8,40}_40 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^40 ] C281.27 : Type {8,40}_40 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^9*R*S^-1*R^2*S^-2*R*S^2*R^-1*S^-1*R*S^5 ] C281.28 : Type {8,40}_40 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^40 ] C281.29 : Type {8,40}_40 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R^-1*S*R^2*S^-2*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^10*R^3*S^-8*R*S^2 ] C281.30 : Type {8,40}_40 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1, S^5*R*S^-5*R^-2*S^-2*R*S^2*R^-1*S^-1*R*S^5 ] C281.31 : Type {8,152}_190 Order 1520 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^19*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S^14 ] C281.32 : Type {8,152}_380 Order 1520 mV = 38 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^19*R*S^-1*R^2*S^-6*R*S^12 ] C281.33 : Type {12,12}_140 Order 1680 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-2*R^4*S^-1*R*S^-3, R^3*S^-1*R^3*S^-5, (R*S^-2*R*S^-1*R)^2 ] C281.34 : Type {12,12}_140 Order 1680 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, R*S^-2*R^4*S^-1*R*S^-3, R^3*S^-1*R^3*S^-5, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1 ] C281.35 : Type {14,14}_28 Order 1568 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^3*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^14, (R*S^-1*R^5)^2 ] C281.36 : Type {14,84}_12 Order 1344 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, R^-2*S*R^4*S^-1*R*S*R^-1*S, R^14, S^2*R*S^-1*R^-1*S^3*R^-1*S^-5*R*S ] C281.37 : Type {20,80}_8 Order 1280 mV = 10 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-2*R^2*S*R^-1*S^2, S^-1*R*S^-2*R^2*S^-1*R^6*S^-6*R ] C281.38 : Type {21,28}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-2*R^-2*S^-1*R*S^-2*R, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2 ] C281.39 : Type {24,24}_28 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S*R^6*S*R^-1*S^2*R^-1, R*S^-3*R*S^-2*R^2*S^-1*R*S^-1*R^7*S^-1*R*S^-1*R*S^-1 ] C281.40 : Type {24,24}_28 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S^-1*R^2*S^-1*R^2*S^-1*R^-3*S*R^-1*S*R^-3*S^-1*R, R*S^-1*R*S^-4*R^8*S^-2*R^2*S^-1*R*S^-1*R*S^-1 ] C281.41 : Type {24,24}_28 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S^-1*R^6*S^-5, R^-1*S*R^-2*S*R^2*S^-1*R^-3*S*R^-2*S*R^-2*S ] C281.42 : Type {24,24}_56 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-1*S^2*R^-1, R^2*S^-1*R^4*S^-2*R^2*S^-1, S^-4*R^3*S^-1*R*S^-1*R^2 ] C281.43 : Type {24,24}_56 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-1*R*S^-2*R, R^-1*S*R^-1*S*R^3*S*R^-1*S^-3 ] C281.44 : Type {24,24}_56 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S^-1*R^-1*S*R^5*S^3*R^-2*S^-1, R^-2*S*R^-2*S*R^-3*S*R^-8*S*R^-5 ] C281.45 : Type {24,24}_56 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-1*S^2*R^-1, R^-2*S*R^4*S*R^-1*S^-1*R*S, S^-2*R*S^-2*R^7*S^-1*R^2*S^-3*R*S^-1*R*S^-1*R^2 ] C281.46 : Type {24,24}_56 Order 1344 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, (R*S^-3*R^2)^2, R^-1*S^4*R^3*S^-1*R*S*R^-1*S^-2 ] C281.47 : Type {24,24}_56 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, R^7*S^-2*R*S^-2, (R*S^-1)^6, S^-1*R^2*S^-1*R^2*S^-1*R^-3*S*R^-1*S*R^-3*S^-1*R ] C281.48 : Type {24,24}_56 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S^3*R^-1, R^7*S^-2*R*S^-2, S*R^6*S^5, S^-1*R^2*S^-1*R^2*S^-1*R^-3*S^-1*R^2*S^-1*R*S^-1*R^2 ] C281.49 : Type {32,32}_20 Order 1280 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R, R^2*S^-8*R^11*S^-1*R*S^-1*R^3*S^-1*R*S^-1*R^2 ] C281.50 : Type {32,32}_20 Order 1280 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R, R^12*S^-4 ] C281.51 : Type {32,32}_40 Order 1280 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S*R^2*S^-2*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-2, R^12*S^-4 ] C281.52 : Type {32,32}_40 Order 1280 mV = 8 mF = 8 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C281.53 : Type {32,32}_40 Order 1280 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, S^-1*R*S^-1*R^5*S^-1*R^2*S^-3*R^8*S^-1*R^3*S^-1*R^2*S^-1*R*S^-1 ] C281.54 : Type {32,32}_40 Order 1280 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R^-1*S*R^2*S^-2*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-2, S^-1*R*S^-1*R^6*S^-2*R^2*S^-2*R ] C281.55 : Type {32,32}_80 Order 1280 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^11*S^-1*R^3*S^-1 ] C281.56 : Type {32,32}_80 Order 1280 mV = 8 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-1*R^-2*S*R^3*S*R^-1*S^-1*R*S^2, R^11*S^-1*R^3*S^-1 ] C281.57 : Type {40,120}_30 Order 1200 mV = 30 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S^-1*R^2*S^-2*R^16*S^-1*R*S^-1*R*S^-1*R*S^-1*R^9*S^-3 ] C281.58 : Type {40,120}_60 Order 1200 mV = 30 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, S^-2*R^-1*S^3*R*S^-1*R^-1*S^2*R^-1*S^-4, S^-2*R^2*S^-3*R^10*S^-1*R^2 ] C281.59 : Type {60,60}_20 Order 1200 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-1*R^4*S*R^-1*S^3, R^-2*S^2*R^3*S*R^-1*S^-3, S^-1*R^4*S^-2*R^2*S^-1*R*S^-1*R^7*S^-2*R^2*S^-2*R^2*S^-1*R*S^-1 ] C281.60 : Type {60,60}_20 Order 1200 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^-2*S^27*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C281.61 : Type {84,84}_14 Order 1176 mV = 14 mF = 28 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, R^-2*S^2*R^-47*S*R^-2*S^3*R^-3*S^2*R^-13*S^2*R^-1*S^3*R^-1*S*R^-1 ] C281.62 : Type {116,116}_10 Order 1160 mV = 29 mF = 29 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-79*S*R^-3*S*R^-1*S^3*R^-1*S^2*R^-12*S^7*R^-1*S^3 ] C281.63 : Type {144,144}_8 Order 1152 mV = 36 mF = 36 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^3*R*S^-1*R^2*S^-1*R*S^3, S^2*R^-2*S*R^-1*S^2*R^-3*S^2*R^-8*S^7*R^-4*S^2*R^-2 ] C281.64 : Type {228,228}_10 Order 1140 mV = 57 mF = 57 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-77*S*R^-3*S*R^-1*S*R^-1*S^2*R^-14*S^7*R^-1*S^3 ] Genus 282 C282.1 : Type {5,10}_562 Order 2810 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-2*R^-1*S*R^-1*S^-5*R^-3*S*R^-1*S^5*R ] C282.2 : Type {5,10}_562 Order 2810 mV = 1 mF = 1 Defining relations for automorphism group: [ R^5, S^10, (R*S)^2, (R*S^-3*R)^2, S^-2*R^-1*S*R*S^-1*R^-1*S*R^2*S^2*R^-1*S^5*R ] C282.3 : Type {8,8}_562 Order 2248 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^2*S^-1*R^3*S^-1*R^-3*S^-1*R*S*R^-1*S^-2 ] Genus 283 [None] Genus 284 C284.1 : Type {6,6}_566 Order 3396 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R^-1*S^2*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R*S^-3*R^-2*S^-1*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^3*R^-2*S^-1*R*S^3*R^-2*S^-1*R*S^3*R^-1*S ] Genus 285 C285.1 : Type {8,192}_192 Order 1536 mV = 48 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S^24*R^3*S^-2*R*S^22 ] C285.2 : Type {32,40}_160 Order 1280 mV = 5 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S^-1*R*S^-1*R^2*S^-1*R*S^-1, S*R*S^-1*R^4*S^2*R^-3, R^-12*S^-1*R^3*S^-1*R^-1, S^10*R^5*S^-7*R^-2*S^-1*R*S^2 ] C285.3 : Type {75,75}_4 Order 1200 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S*R^-2*S, R*S^-1*R^56*S^-1*R^13*S^-1*R^2 ] Genus 286 C286.1 : Type {6,18}_342 Order 2052 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^-2*R^-1*S^2*R^-1*S*R^2*S^-3*R*S^-1*R*S^-1 ] C286.2 : Type {6,18}_342 Order 2052 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, S*R*S^-1*R^2*S^-1*R^-2*S^-1*R*S*R^-2*S, S^-1*R^-1*S^2*R*S^-2*R^2*S^2*R^-1*S*R^-1*S^-2 ] C286.3 : Type {6,18}_342 Order 2052 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, R*S^-3*R*S^-2*R^2*S^2*R^-1*S*R^-1*S^-2, S^18 ] C286.4 : Type {6,18}_342 Order 2052 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^18, R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^-3*S*R^-2*S*R^-2*S*R^-2*S^-2*R^-1 ] C286.5 : Type {6,18}_342 Order 2052 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^18, R*S*R^-1*S^-2*R^-1*S*R^2*S^-1*R*S^-1*R^-2*S*R^-2*S^-1*R^2*S*R^-2*S^-2*R^-1*S*R ] C286.6 : Type {6,18}_342 Order 2052 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^18, S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-2*S*R^-1*S*R^2 ] C286.7 : Type {6,48}_304 Order 1824 mV = 8 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S^-1, S^2*R*S^-1*R^-1*S^4*R*S^-1*R^-1*S^8 ] C286.8 : Type {6,48}_304 Order 1824 mV = 16 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-4*R^-1*S*R^-2*S*R^-2*S*R^3*S^-1*R*S^7*R^-1*S^-1 ] C286.9 : Type {6,288}_288 Order 1728 mV = 96 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^48*R^2*S*R^-2*S^47 ] C286.10 : Type {18,36}_76 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^4*S^-1*R*S^3, S*R*S^-2*R^3*S^5, R^-1*S^2*R^-1*S*R^-2*S*R^-4*S*R^-1*S*R^-3 ] C286.11 : Type {18,36}_76 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^3*R^-2, S^3*R^4*S^-1*R*S^2*R^-1, R*S^-1*R^2*S^-1*R^9*S^-2*R^2 ] C286.12 : Type {18,36}_76 Order 1368 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, R^-1*S*R^-1*S*R^-9*S^4*R^-1 ] C286.13 : Type {18,36}_76 Order 1368 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-2*S^2, S*R^-1*S*R^4*S^-1*R*S^3, R*S^-2*R*S^-1*R*S^-1*R^7*S^-1*R^2*S^-1 ] C286.14 : Type {18,36}_76 Order 1368 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^3*S^5, S^4*R^3*S^-1*R^2*S*R^-1, R^-1*S*R^-10*S^3*R^-3 ] C286.15 : Type {18,36}_76 Order 1368 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R^-1*S*R^-2*S*R^-3*S*R^-5*S^3*R^-1 ] C286.16 : Type {18,36}_76 Order 1368 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R^7*S*R^-5, S^2*R^-1*S^2*R*S^-2*R^-2*S^-1*R*S^-2*R*S, R^-1*S*R^-11*S*R^-4 ] C286.17 : Type {18,36}_76 Order 1368 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R*S^-5*R*S^6, R^-1*S*R^3*S^-2*R^-2*S^-1*R^2*S*R^-1*S*R^-1, R^18 ] C286.18 : Type {24,54}_108 Order 1296 mV = 18 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S*R^2*S^-1*R^4*S*R^-1*S*R^-3, R^-1*S^4*R*S^-1*R^3*S*R^-2*S*R^-1*S^-2 ] C286.19 : Type {24,54}_216 Order 1296 mV = 9 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, S^-7*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-4 ] C286.20 : Type {33,66}_38 Order 1254 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-1*S*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2, R^-2*S^5*R^-3*S*R^-11*S*R^-1*S^6*R^-1*S*R^-1 ] C286.21 : Type {66,198}_18 Order 1188 mV = 66 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-1*R^3*S^4, S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-11*S^2*R^-1*S*R^-1 ] Genus 287 C287.1 : Type {4,48}_624 Order 2496 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^48 ] C287.2 : Type {4,48}_624 Order 2496 mV = 12 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*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, S^-5*R^-1*S*R*S^-5*R^-1*S*R^-2*S*R^-1*S^-1*R*S*R^-1*S^-5*R*S^2*R^-1*S^-2 ] C287.3 : Type {4,92}_598 Order 2392 mV = 23 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1, S^23*R^-1*S^-1*R*S*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^15 ] C287.4 : Type {6,69}_598 Order 1794 mV = 23 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S*R^-2*S^-2*R^2*S^-1*R^-2*S*R^3*S*R^-1*S*R^-2*S*R^-2, S^11*R*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-6*R*S^3 ] C287.5 : Type {8,32}_416 Order 1664 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S^-1*R*S^2*R^-1*S*R^-1*S, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C287.6 : Type {8,32}_416 Order 1664 mV = 8 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-2*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R, S^2*R*S^-5*R^-1*S^2*R^-1*S^-5*R*S^2 ] C287.7 : Type {12,20}_390 Order 1560 mV = 5 mF = 3 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, R^-1*S*R*S^-2*R^2*S^-2*R^2*S^-1*R*S^2*R^-1*S^-2 ] C287.8 : Type {20,60}_66 Order 1320 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, S^3*R^4*S^-1*R*S^2*R^-1, R^3*S^-2*R^8*S^-4*R^3 ] C287.9 : Type {20,60}_66 Order 1320 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, S*R^2*S^-2*R^2*S^2*R^-1*S*R^-1, R*S^-1*R^11*S^-3*R*S^-2*R ] C287.10 : Type {20,60}_66 Order 1320 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^4*S^3*R^-1*S^-1, S*R^7*S^2*R^-3*S, R*S^-6*R*S^-1*R^6*S^-1*R*S^-2*R ] C287.11 : Type {20,60}_66 Order 1320 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S^2*R^2*S*R^-1*S^-2, S*R^7*S^2*R^-3*S, R*S^-6*R^8*S^-2*R*S^-2 ] C287.12 : Type {48,48}_26 Order 1248 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^3*S*R^-2*S^-1, S^3*R^3*S^-1*R*S^2, R*S^-1*R^2*S^-22*R^2*S^-3*R^2*S^-1*R*S^-1*R^7*S^-1*R^3*S^-1 ] C287.13 : Type {48,48}_26 Order 1248 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, S*R^-9*S*R^-1*S^2*R^-2*S^3*R^-1*S^3*R^-1*S*R^-1*S*R^-10*S^7*R^-1*S^3 ] C287.14 : Type {48,48}_26 Order 1248 mV = 16 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-2*S*R^-1, R^-18*S^4*R^-1*S^2*R^-15*S^5*R^-1*S*R^-1 ] C287.15 : Type {48,48}_52 Order 1248 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R^6*S*R^-2*S^2, S^-3*R*S^-2*R^3*S^-1*R^6*S^-2*R^2*S^-2*R^2 ] C287.16 : Type {48,48}_52 Order 1248 mV = 12 mF = 12 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-1*S*R^2*S^-2*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S, R^2*S^-2*R*S^-2*R^11*S^-2*R*S^-1*R*S^-1 ] C287.17 : Type {48,48}_52 Order 1248 mV = 16 mF = 8 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, S*R*S^-1*R^-1*S*R^3*S*R^-2*S^-1*R*S, S^3*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-8*S^2*R^-2*S ] C287.18 : Type {55,110}_22 Order 1210 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, S*R*S^-2*R^2*S*R^-1*S^2, S^33*R^-1*S*R^-2*S^5*R^-9*S*R^-1*S^2 ] C287.19 : Type {55,110}_22 Order 1210 mV = 11 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^4, R^-2*S*R^3*S^-1*R*S^2, R^-31*S^4*R^-1*S*R^-1*S*R^-12*S^2*R^-2 ] C287.20 : Type {92,92}_26 Order 1196 mV = 23 mF = 23 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S, S*R^-1*S*R^-1*S^10*R^-1*S^3*R^-1*S*R^-1*S*R^-1*S^2*R^-10*S^7*R^-1*S^3 ] C287.21 : Type {147,147}_4 Order 1176 mV = 21 mF = 21 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^3*S^-109*R^14*S^-18*R*S^-2 ] Genus 288 C288.1 : Type {10,20}_164 Order 1640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R^4*S^-1*R^-2*S^-1*R^4*S^-1, S*R^3*S^-1*R^3*S^2*R^-1*S*R^-1*S, S^-1*R*S^-1*R*S^-1*R^3*S*R^-1*S^-2*R^2 ] C288.2 : Type {10,20}_164 Order 1640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1, S^-1*R^4*S^-1*R^-2*S^-1*R^4*S^-1 ] C288.3 : Type {10,20}_164 Order 1640 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^-1*R^4*S^-1*R^-2*S^-1*R*S^-1*R*S^-2 ] C288.4 : Type {10,20}_164 Order 1640 mV = 4 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1 ] C288.5 : Type {14,98}_98 Order 1372 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, R^14, S^2*R*S^-1*R^-1*S^4*R*S^-5*R*S^2 ] C288.6 : Type {14,98}_98 Order 1372 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, R^14, S^2*R*S^-4*R^-1*S^3*R^-1*S^-3*R*S^2 ] C288.7 : Type {14,98}_98 Order 1372 mV = 14 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, R^14, R*S^-7*R^2*S^-5*R*S^2 ] Genus 289 C289.1 : Type {3,8}_24 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, S^2*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S, S^-1*R*S^-4*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^4*R*S^-1*R*S^-2*R*S^-2*R*S^-1, S^-1*R*S^-3*R*S^-3*R*S^-3*R*S^-2*R^-1*S^2*R^-1*S^3*R^-1*S^3*R^-1*S^2*R^-1*S^-2 ] C289.2 : Type {3,12}_48 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, R^-1*S^-6*R*S^-2*R*S^6*R^-1*S^2, (R*S^-4*R*S^-3)^2, S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-3*R*S^-2*R*S^-1 ] C289.3 : Type {3,24}_48 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, (R*S^-4*R*S^-3)^2, (S*R^-1*S^5*R^-1*S^2*R^-1*S)^2, S*R^-1*S^2*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-3*R*S^4*R^-1*S ] C289.4 : Type {4,5}_16 Order 11520 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^5, (R*S)^2, (R*S^-1)^10, S^-2*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R*S^-2*R^2*S^-1*R*S^-1*R ] C289.5 : Type {4,6}_24 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R*S^-3*R*S^-1*R^-1*S*R*S^-1*R*S^3*R^2*S*R^-1*S^-2, S^-1*R^-1*S*R^-2*S^-3*R*S^-1*R*S*R^-1*S^-1*R*S^3*R*S^-1, R*S^-2*R*S^-1*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1 ] C289.6 : Type {4,6}_48 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R^-1*S*R^-1*S^-3*R*S^-1*R^2*S*R^-1*S^3*R^2*S, R*S^-2*R^-2*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^3*R^2*S^-2, R*S^-1*R*S^-3*R^-1*S*R^-1*S*R^-1*S^3*R^-1*S^2*R^-1*S^2*R*S^-1 ] C289.7 : Type {4,6}_48 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^6, (R*S)^2, R^-1*S*R^-1*S^-3*R*S^-1*R^2*S*R^-1*S^3*R^2*S, R*S^-2*R^-2*S^-3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S^3*R^2*S^-2, R*S^-3*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^2*S^3*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1 ] C289.8 : Type {4,7}_16 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^7, (R*S)^2, S*R^-1*S^3*R^-1*S*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S ] C289.9 : Type {4,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (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*R^-2*S^-4*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2 ] C289.10 : Type {4,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (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*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^-2*R*S*R^-1*S ] C289.11 : Type {4,8}_8 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, S^-3*R^-2*S^-4*R^-1*S*R^2*S^4*R^2*S^4*R ] C289.12 : Type {4,8}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, S^3*R*S^-1*R*S^-1*R^2*S*R^-1*S^4*R^-1 ] C289.13 : Type {4,8}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, S^-2*R^-1*S*R*S^-2*R^-1*S*R^2*S^-1*R*S*R^-1*S^4*R ] C289.14 : Type {4,8}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R^-1*S^2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S*R^-1*S, R*S^-2*R^-1*S*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^-3*R*S^-1 ] C289.15 : Type {4,8}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-2)^4, R^-1*S^-4*R*S^-1*R^-2*S^4*R^2*S, S^2*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C289.16 : Type {4,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, (R*S)^2, (R*S^-4)^2, R*S^-2*R^-1*S*R*S^-1*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C289.17 : Type {4,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^10, (R*S)^2, (R*S^-4)^2, R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-2, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2 ] C289.18 : Type {5,5}_10 Order 5760 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^5, S^5, (R*S)^2, (R*S^-1)^8, (R*S^-1*R^2*S^-2)^3, R^-1*S*R^2*S^-1*R*S^2*R^2*S^-2*R^-2*S^-1*R*S^-2 ] C289.19 : Type {6,6}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1)^6, S^-1*R^-2*S*R*S^-1*R^-3*S^-1*R*S*R^-2*S^-1, S*R^-1*S^-3*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1 ] C289.20 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, S*R^2*S^-1*R^-2*S*R^2*S^3*R*S^-2*R^-1 ] C289.21 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^2*R^-1*S, S*R*S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-1*S*R^-1 ] C289.22 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R*S^-3*R^-1*S*R^2*S^3*R^-2*S^-1, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^-1*R^2*S^2*R^-1*S^2*R^-1*S, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C289.23 : Type {6,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, R^-1*S*R^-1*S^2*R^-1*S^2*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S^-2 ] C289.24 : Type {6,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^12, S*R*S^-3*R^-3*S^-1*R^2*S^3 ] C289.25 : Type {6,12}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^-3*S^-1*R^2*S^-2 ] C289.26 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-2*R^3*S^2*R^-1, (R*S^-1)^6, S^12 ] C289.27 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-3*R^-1*S*R^2*S^-1*R*S*R^-2*S^-1, S^12 ] C289.28 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-3*R*S^4, S^-1*R*S^-3*R^2*S^-3*R*S^-1, S^2*R^-2*S*R*S^-1*R^2*S*R^-2*S*R^-1 ] C289.29 : Type {6,12}_12 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1, S^12 ] C289.30 : Type {6,12}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^12, S^2*R^-1*S*R*S^-1*R^2*S^2*R^-1*S*R^-1*S ] C289.31 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-5)^2, R*S^-2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2 ] C289.32 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-2)^4, (R*S^-5)^2, S^12, S*R^2*S^-2*R^-2*S*R^-2*S^-1*R^2*S ] C289.33 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R, (R*S^-5)^2, S^12, R*S^-3*R^-1*S*R^2*S^-2*R*S*R^-1*S^-1 ] C289.34 : Type {6,12}_24 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^2*S*R^-1*S^-2*R, S^-1*R^-1*S*R^-2*S*R^2*S*R^-1*S^-1*R^2*S^-1 ] C289.35 : Type {6,12}_24 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R*S^-3*R*S^4, (R*S^-1*R*S^-2*R)^2, S^-1*R*S^-3*R^2*S^-3*R*S^-1, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^3*S^-1*R*S*R^-2*S^-2 ] C289.36 : Type {6,12}_24 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, S^12, (R*S^-1)^8 ] C289.37 : Type {6,12}_48 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, R*S^-3*R^-2*S*R^-1*S*R^-1*S, (R*S^-2*R*S^-1*R)^2, R^-1*S^-3*R^-1*S^2*R*S^-2*R*S^-1*R*S^2*R^-1*S^-2*R*S^-1*R*S*R^-1*S^2 ] C289.38 : Type {6,12}_48 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-5)^2, S^12, S*R^-1*S*R^2*S^-1*R^2*S^-1*R*S^2*R^-2, R^2*S^-2*R*S^-1*R^2*S^3*R^-1*S^-2, S^3*R*S^-2*R^2*S*R^-1*S^-1*R*S*R^-1 ] C289.39 : Type {6,12}_48 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-5)^2, S^12, R^-1*S^2*R*S^-1*R^-2*S^-1*R*S*R^-2*S*R^-1, S*R^2*S^-2*R^-2*S*R^-2*S^-1*R^2*S ] C289.40 : Type {6,15}_6 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (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*S^-2*R*S^-1*R^-2*S*R^-1*S^-1*R^2*S^-1*R, S^-3*R^2*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1 ] C289.41 : Type {6,30}_40 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, (R*S^-2)^4, (R*S^-5)^2, S^-1*R^-2*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R, S^-1*R^-1*S^4*R^2*S*R^-1*S^-4 ] C289.42 : Type {7,7}_12 Order 2688 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^7, S^7, (R*S)^2, S^2*R^2*S^-1*R^3*S^-2*R*S^-1*R*S ] C289.43 : Type {8,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-2*R^2*S^-1*R^2*S^-2*R*S^3, R*S^-4*R*S^-1*R^2*S^4*R*S^-1*R, S*R^2*S^-3*R^2*S^3*R^-1*S*R^-1 ] C289.44 : Type {8,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-2*R^2*S^-1*R^2*S^-2*R*S^3, R*S^-4*R*S^-1*R^2*S^4*R*S^-1*R, R*S^-1*R*S^-3*R^2*S^2*R^-1*S^-1*R*S^-1 ] C289.45 : Type {8,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-2*R^2*S^-1*R^2*S^-2*R*S^3, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S, S*R^-1*S*R*S^-2*R^2*S^3*R^-1*S*R^-1 ] C289.46 : Type {8,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^3*S^-1*R^-2*S^-1*R^3*S^-1, R*S^-2*R^2*S^-1*R^2*S^-2*R*S^3, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S, R*S^-1*R*S^-3*R^2*S^3*R^-2*S^-1 ] C289.47 : Type {8,8}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S ] C289.48 : Type {8,8}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R*S^-2*R^3*S*R^-1*S^-2*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^-2*S ] C289.49 : Type {8,8}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^2*R*S^-2*R^3*S*R^-1*S^-2*R*S, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^2*S ] C289.50 : Type {8,8}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, S^2*R^-1*S^2*R^3*S^2*R^-1*S^2*R^-1, R^-1*S^-4*R*S^-1*R^2*S^4*R^2*S ] C289.51 : Type {8,8}_12 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R*S^-1*R^3*S^-1*R^3*S^-3*R*S^-3 ] C289.52 : Type {8,8}_12 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, R^-1*S*R^3*S^-1*R^3*S^-1*R^2*S*R^-1*S^-2 ] C289.53 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, R*S^-2*R*S^-1*R^-3*S^-1*R^3*S^-2 ] C289.54 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, R*S^-3*R^3*S^-1*R*S*R^-1*S^-1 ] C289.55 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^2*S^-2*R^3*S*R^-1*S^2*R^-2, R*S^-1*R^3*S^-1*R^3*S^-3*R*S^-3, R^-2*S*R^-2*S*R^3*S^-1*R^2*S*R^-1*S^-2 ] C289.56 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-2*R^-1*S*R^3*S*R^-1*S*R^-1*S^-1, S^-1*R*S^-1*R*S^-2*R^3*S^-1*R*S^-3*R^2 ] C289.57 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R^-3*S*R^2*S^4*R^-1, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C289.58 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^2*S^-2*R^3*S*R^-1*S^2*R^-2, R*S^-1*R^3*S^-1*R^3*S^-3*R*S^-3, R^-1*S*R^3*S^-1*R^3*S^-1*R^2*S*R^-1*S^-2 ] C289.59 : Type {8,8}_24 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S*R*S^-2*R^3*S^2*R^-1*S*R^-1, S*R^-1*S^2*R^3*S^-2*R*S*R^-1, R^-1*S*R^3*S^-1*R^3*S^-1*R^2*S*R^-1*S^-2 ] C289.60 : Type {8,24}_6 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, S*R*S^-2*R^-3*S*R^-1*S^-1*R^3*S ] C289.61 : Type {8,24}_8 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^-1*S^2*R^-4*S^-1*R^3*S^-2 ] C289.62 : Type {8,24}_8 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, (R*S^-1)^6, S^3*R*S^-1*R^-4*S^-1*R^3*S^3 ] C289.63 : Type {8,24}_12 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R^-1*S*R*S^-1*R^3*S^-3*R*S^-1, S^-3*R^2*S^-2*R^2*S^-7 ] C289.64 : Type {8,24}_24 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S^24 ] C289.65 : Type {8,24}_24 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, R^-1*S*R*S^-1*R^3*S^-3*R*S^-1, S*R*S^-5*R^2*S^-3*R*S^3 ] C289.66 : Type {8,24}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-2*R^2*S, S^-3*R^-1*S*R^2*S^-4*R, S^24 ] C289.67 : Type {8,24}_24 Order 1728 mV = 3 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, S*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S, S^-1*R*S^-3*R^2*S^-1*R*S^-3, S^24 ] C289.68 : Type {8,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S^-1*R*S^-1*R*S^-1*R^3*S^-1*R*S*R^-2*S^-1, S^2*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R^-2*S^5 ] C289.69 : Type {8,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S^-1*R*S^-1*R^-4*S^-1*R^3*S^-1, S^24 ] C289.70 : Type {8,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, S*R*S^-1*R^-4*S^-1*R^3*S ] C289.71 : Type {8,24}_24 Order 1728 mV = 6 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-2*R^2*S^2*R^-2*S^-1, (R*S^-1)^6, S^-2*R^-1*S^2*R^-4*S^2*R^-1*S^-1*R^2*S^-1 ] C289.72 : Type {8,88}_66 Order 1584 mV = 11 mF = 1 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1)^4, S^-1*R^-2*S*R^-3*S^-1*R^3*S^-1, S^11*R*S^-1*R*S^4*R^-1*S^-1*R*S^5 ] C289.73 : Type {10,10}_12 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, S^-1*R^5*S^-4, (R*S^-1)^6, S^-1*R*S^-1*R^2*S^-1*R^2*S*R^-1*S^-2*R*S^-1 ] C289.74 : Type {10,10}_24 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^10, S^10, (R*S)^2, S^-1*R^5*S^-4, (R*S^-1)^6, R*S^-1*R^2*S^-1*R^-3*S*R^-1*S^2*R^-1*S^2 ] C289.75 : Type {12,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-4*R, R^2*S^-2*R^3*S^-1*R*S^-3 ] C289.76 : Type {12,24}_8 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R*S^-1*R^4*S^-4*R, (R*S^-3*R^2)^2, (R*S^-2)^4 ] C289.77 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S*R*S^-2*R^3*S^-2*R*S*R^-1, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^4*R^4*S*R^-1*S^-2*R*S ] C289.78 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^2*R^-1*S*R^3*S^2*R^-2*S ] C289.79 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, R^2*S^-2*R^3*S^-1*R*S^-3 ] C289.80 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-2)^4, S^4*R^4*S*R^-1*S^-2*R*S ] C289.81 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-1*R*S^-2*R)^2 ] C289.82 : Type {12,24}_8 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S*R^2*S^-1*R^3*S^-2*R*S^2, S^-1*R^-2*S*R^3*S^2*R^-1*S^-2, (R*S^-2*R*S^-1*R)^2 ] C289.83 : Type {12,24}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S*R*S^-2*R^3*S^3*R^-2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-1*R^-4*S^3*R^-1*S^-1*R, S^-2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-2*R ] C289.84 : Type {12,24}_16 Order 1536 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R*S^-3*R^-2*S*R^-1*S*R^-1*S, R^12, (R*S^-1*R^4)^2, (R*S^-1*R)^4, (R*S^-2*R*S^-1*R)^2, S^-2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-2*R ] C289.85 : Type {12,24}_16 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R*S^-1*R^2*S*R^-1*S^-2, (R*S^-1*R)^4 ] C289.86 : Type {15,30}_12 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-1*S*R^-1, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, R^-15 ] C289.87 : Type {21,42}_4 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S^-1*R^-2*S*R^3*S*R^-2*S^-1*R, S*R^7*S^2*R^-2*S*R^-1, S*R^-1*S*R^-2*S^4*R^-8*S*R^-1*S*R^-1 ] C289.88 : Type {24,72}_18 Order 1296 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^3*R^4*S*R^-1*S^-1*R*S, R^3*S^-1*R^4*S^-1*R^8*S^-5*R*S^-1 ] C289.89 : Type {24,72}_36 Order 1296 mV = 12 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-3*R^4*S^-2*R^2*S^-1 ] C289.90 : Type {36,36}_36 Order 1296 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, R*S^-1*R^-1*S^2*R^-5*S^-1*R^5, S^2*R^-2*S*R^-3*S^2*R^-3*S*R^-7*S*R^-3*S*R^-1*S*R^-1*S^3*R^-1*S*R^-1*S ] Genus 290 C290.1 : Type {3,8}_12 Order 13872 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^8, (R*S)^2, (R*S^-2)^6, S^2*R*S^-2*R^-1*S^2*R*S^-2*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S, S^2*R^-1*S^3*R^-1*S^3*R^-1*S^3*R^-1*S^-4*R^-1*S^2*R^-1*S^4*R*S^-3*R*S^-3*R*S^-2*R*S ] C290.2 : Type {4,8}_8 Order 4624 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, S^-1*R^-1*S^2*R*S^-1*R*S^2*R^-1*S^-2, (R*S^-2)^4, R*S^-4*R^-2*S^-4*R^-1*S*R^2*S^4*R^2*S^4*R^2*S^-1, S^2*R^-2*S^-4*R^-1*S*R*S^-2*R^2*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S ] C290.3 : Type {8,8}_34 Order 2312 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^-1*S^3*R*S^-1*R^-2*S^4*R^-1*S^3*R*S^-1 ] C290.4 : Type {8,8}_34 Order 2312 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, R^-1*S*R^2*S^-1*R^3*S^-1*R^-4*S*R^-3*S ] C290.5 : Type {8,8}_578 Order 2312 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-2*R*S^-2 ] C290.6 : Type {72,72}_34 Order 1224 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, S*R^6*S^2*R^-2*S, R*S^-15*R*S^-1*R^2*S^-1*R^2*S^-1*R^9*S^-3 ] Genus 291 C291.1 : Type {4,8}_1160 Order 4640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*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^-1*R*S^-1 ] C291.2 : Type {4,8}_1160 Order 4640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^-1*S*R^-2*S^2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C291.3 : Type {4,8}_1160 Order 4640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*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^-1*R*S^-1 ] C291.4 : Type {4,8}_1160 Order 4640 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^-1*S*R^-2*S^2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^-1 ] C291.5 : Type {4,12}_870 Order 3480 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C291.6 : Type {4,12}_870 Order 3480 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S*R^-1*S*R*S^-1*R^-1*S*R^-2*S^2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R^2*S^-2*R^-1 ] C291.7 : Type {4,24}_696 Order 2784 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1, S^24 ] C291.8 : Type {4,24}_696 Order 2784 mV = 6 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S^-3*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S ] C291.9 : Type {4,44}_638 Order 2552 mV = 11 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S*R^-1, S^-2*R^-1*S^2*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S^2*R^-1*S^-9 ] C291.10 : Type {4,120}_120 Order 2400 mV = 30 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-2, S^120 ] C291.11 : Type {4,120}_120 Order 2400 mV = 30 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1, S^30*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2*R*S^24 ] C291.12 : Type {4,236}_590 Order 2360 mV = 59 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^59*R^2*S*R^-1*S^-2*R*S^56 ] C291.13 : Type {8,8}_290 Order 2320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R^-2*S^-2*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R ] C291.14 : Type {8,8}_290 Order 2320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C291.15 : Type {8,8}_580 Order 2320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C291.16 : Type {8,8}_580 Order 2320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R^-2*S^-2*R^-2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-2*R^-1*S*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R ] C291.17 : Type {8,16}_464 Order 1856 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R*S^-1*R^2*S^2*R^2*S^-2*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C291.18 : Type {8,16}_464 Order 1856 mV = 4 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-3*R^4*S^-5, R^2*S^2*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S^-2*R*S^-1 ] C291.19 : Type {8,80}_80 Order 1600 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1, S^20*R^3*S^-8*R*S^12 ] C291.20 : Type {8,80}_80 Order 1600 mV = 20 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R^2*S^2*R^-2*S^-1, S^20*R^3*S^-8*R*S^12 ] C291.21 : Type {12,12}_290 Order 1740 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^2*R^-2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C291.22 : Type {12,12}_290 Order 1740 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R^-2*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^2*S^2*R^-1*S ] C291.23 : Type {20,28}_70 Order 1400 mV = 7 mF = 5 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^-1*R^-1*S*R*S^-6*R^7*S^6*R ] C291.24 : Type {24,24}_58 Order 1392 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^2*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R, R^2*S^-3*R^13*S^-2*R*S^-3 ] C291.25 : Type {24,24}_116 Order 1392 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S^-2*R^-2*S^2*R^-1*S*R^-2*S^-1*R*S^2*R^-1*S*R^-1*S ] C291.26 : Type {44,44}_58 Order 1276 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S^-2*R^-1*S*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^-1*R*S^2, R^2*S^-2*R^10*S^-2*R*S^-1*R*S^-1*R*S^-1 ] C291.27 : Type {120,120}_10 Order 1200 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-83*S^4*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C291.28 : Type {120,120}_20 Order 1200 mV = 30 mF = 30 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1, R^-1*S^23*R^-2*S^2*R^-1*S^3*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C291.29 : Type {236,236}_10 Order 1180 mV = 59 mF = 59 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-81*S*R^-3*S*R^-1*S^3*R^-1*S^2*R^-12*S^7*R^-1*S^3 ] Genus 292 C292.1 : Type {3,12}_582 Order 6984 mV = 1 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (S^2*R^-1*S^2)^3, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^2*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S ] C292.2 : Type {6,6}_582 Order 3492 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, R^-1*S^-3*R^3*S^3*R^-2, R^-1*S*R^-2*S*R^3*S*R^-2*S, S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-3*R^-1*S*R^-1*S^3*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1 ] C292.3 : Type {6,6}_582 Order 3492 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^3*R*S^-2*R*S^-2*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S^-2*R*S^-1 ] C292.4 : Type {6,12}_388 Order 2328 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-1*R^2*S^4, S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S^3*R^-1*S*R*S^-1*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-1*R*S*R^-1*S^-1*R*S ] C292.5 : Type {6,12}_388 Order 2328 mV = 4 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^12, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S*R^-2*S*R^-1*S*R^-1*S*R ] C292.6 : Type {9,18}_194 Order 1746 mV = 3 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, S*R^4*S*R^-2, S^2*R^-3*S^4, S^-1*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S^-2*R*S^-2*R*S^2*R^-1*S*R^-1*S^-1*R*S*R^-1*S^-1 ] C292.7 : Type {16,16}_194 Order 1552 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S*R^-1*S^-3 ] C292.8 : Type {16,16}_194 Order 1552 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R*S^-3*R^3*S^-2*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R ] C292.9 : Type {24,108}_216 Order 1296 mV = 18 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, S^-7*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S^3*R^-1*S^-3 ] Genus 293 C293.1 : Type {4,8}_292 Order 4672 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R*S^-1 ] C293.2 : Type {4,8}_584 Order 4672 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R*S^-1 ] C293.3 : Type {4,12}_876 Order 3504 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S*R^-1*S^2*R^-1*S*R^-1*S*R^2*S^2*R*S^-1*R*S^-1 ] C293.4 : Type {4,20}_730 Order 2920 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R^-1*S^-2*R*S^-1*R*S^-2*R^-1*S^2*R*S^-1*R^-2*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R^2*S ] C293.5 : Type {6,6}_292 Order 3504 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, (R*S^-1*R)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-2*R*S^-2*R*S^-2*R*S^3*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S ] C293.6 : Type {6,15}_730 Order 2190 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-15, R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S^-1*R^2*S*R^-1*S^-2*R^-1*S*R*S^-1*R^-1 ] C293.7 : Type {8,8}_292 Order 2336 mV = 1 mF = 1 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-2*R)^2, (R*S^-1)^4, S*R^-1*S^-2*R^-2*S^-4*R^4*S^4*R^-1*S ] C293.8 : Type {8,8}_292 Order 2336 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R*S^-1*R*S^-1 ] C293.9 : Type {8,8}_292 Order 2336 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S*R^2*S^2*R^2*S^2*R*S^-1*R*S^-1 ] C293.10 : Type {12,12}_146 Order 1752 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, (R*S^-1*R*S^-1*R^2)^2, (R*S^-1*R)^4, S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S*R*S^-1*R^-1*S*R^3*S*R^-2*S^-1*R*S ] C293.11 : Type {12,12}_146 Order 1752 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R^-1*S*R^2*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^2*S*R^-1*S^-1*R*S^-1*R ] C293.12 : Type {12,12}_146 Order 1752 mV = 4 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R*S^3, S*R^5*S^2*R^-1*S, R^12, R*S*R^-1*S^-1*R*S^2*R^2*S^-1*R^2*S^-1*R^-4*S*R^-2*S*R^-1*S*R^-1*S*R^2*S^-1*R^2*S^-1*R ] C293.13 : Type {20,20}_146 Order 1460 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-2*S*R^-1*S^-1*R*S^-2*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1 ] C293.14 : Type {32,80}_160 Order 1280 mV = 20 mF = 8 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-1)^4, (R*S^-3)^2, R^-1*S*R^12*S*R^-2*S^-2*R^-1, S^10*R^5*S^-2*R*S*R^-1*S^-5*R*S^2 ] Genus 294 [None] Genus 295 C295.1 : Type {3,12}_1176 Order 7056 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-2*R*S^3*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S ] C295.2 : Type {4,16}_16 Order 3136 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, (R*S^-2)^4, S^16, S^-4*R*S^-3*R^2*S^-3*R*S*R^-1*S*R^-1*S^-2 ] C295.3 : Type {4,16}_16 Order 3136 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^4*R^-1*S*R*S^-1*R^-1*S^2*R^-1*S*R^-1*S*R^-1, S^4*R*S^-1*R^-1*S*R^-1*S^6*R^-1, S^16 ] C295.4 : Type {6,9}_126 Order 2646 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S^-1*R^3*S*R^-1*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R^-2*S*R^2*S^-1*R^-3*S^-1*R^2*S*R^-2*S^-1*R^2*S^-1*R*S^-1*R^2*S^-1*R^-1*S*R*S^-1*R ] C295.5 : Type {6,9}_882 Order 2646 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R ] C295.6 : Type {6,9}_882 Order 2646 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S^-2*R^-2*S*R^-1*S*R*S^-1*R^-1*S*R^2*S^-1*R ] C295.7 : Type {6,9}_882 Order 2646 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, S^9, (R*S)^2, (R*S^-2)^2, R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S*R^-2*S^2*R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R ] C295.8 : Type {6,12}_392 Order 2352 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S^-4*R^3*S^-2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-3*R^-1*S*R^-1*S^3*R*S^-2*R*S^-1*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^3*R*S^-1 ] C295.9 : Type {6,21}_14 Order 2058 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^6, S^-1*R^-1*S^2*R*S^-1*R^3*S*R^-1*S^-2, R*S^-2*R^2*S^-1*R^3*S*R^-2*S^3, S^2*R^-2*S*R*S^-1*R^2*S^-1*R*S^2*R^-2 ] C295.10 : Type {6,21}_98 Order 2058 mV = 7 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^3*S*R^-2*S^-1*R^2*S*R^-1*S*R^-1*S ] C295.11 : Type {6,24}_42 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S^4*R^2*S^-1*R^2*S^7, R*S^-1*R^-1*S^2*R*S^-1*R^-1*S^3*R^-1*S^3*R^-1*S^-2, S^2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-2*R*S*R^-1*S^2 ] C295.12 : Type {6,24}_42 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2*R*S^-1*R)^2, (R*S^-1*R*S^-2*R)^2, S*R*S^-2*R*S^-1*R*S^-2*R*S^2, S^-1*R^-2*S*R*S^-1*R^-2*S^4*R^-1*S^-1 ] C295.13 : Type {6,24}_84 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S^-1, (R*S^-2*R*S^-1*R)^2, S^-1*R^-2*S*R*S^-1*R^-2*S^4*R^-1*S^-1 ] C295.14 : Type {6,24}_84 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, S*R^-1*S^3*R*S^-1*R^-2*S^-3*R*S^-2*R*S^2, R*S^-2*R^-1*S^5*R*S^-1*R*S^6 ] C295.15 : Type {6,45}_630 Order 1890 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-45 ] C295.16 : Type {6,45}_630 Order 1890 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R*S^3*R*S^-1*R^2*S^-1*R^2*S^-1*R^2*S^-1*R*S^7*R^-1*S^-1 ] C295.17 : Type {6,45}_630 Order 1890 mV = 15 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^3*S^-1*R*S^7*R^-1*S^-1 ] C295.18 : Type {6,129}_602 Order 1806 mV = 43 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R*S^-1*R^-3*S^-1*R^2*S*R^-1*S^-1*R, S^-22*R^3*S*R^-1*S^-5*R^2*S^-15 ] C295.19 : Type {6,297}_594 Order 1782 mV = 99 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, S^-50*R^3*S*R^-1*S^-48 ] C295.20 : Type {12,15}_280 Order 1680 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^12, (R*S^-1*R^4)^2, S^-15, S*R^2*S^-1*R^2*S^-1*R^3*S*R^-2*S*R^-1*S^-1*R*S*R^-1 ] C295.21 : Type {12,36}_126 Order 1512 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, R*S^-2*R^4*S^-1*R*S^-3, S^-7*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-8 ] C295.22 : Type {12,36}_126 Order 1512 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, (R*S^-3*R^2)^2, (R*S^-2*R*S^-1*R)^2, S^-1*R*S^-3*R^2*S^-4*R ] C295.23 : Type {12,36}_126 Order 1512 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-2*R^-1*S*R^2*S^2*R^-1*S^-1, R^12, (R*S^-1*R^4)^2 ] C295.24 : Type {12,36}_126 Order 1512 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^2*S^-1*R^2*S^-1*R^3*S^-1*R*S*R^-1*S^-1*R*S^-1, S^9*R*S^-2*R*S^7 ] C295.25 : Type {12,36}_126 Order 1512 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-1*S*R^2*S^-1*R*S^-1*R^-2*S^-1*R*S^2*R^-2*S ] C295.26 : Type {12,36}_126 Order 1512 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R^-2*S*R^-2*S*R^3*S^-1*R^2*S^-1*R*S^2 ] C295.27 : Type {15,30}_98 Order 1470 mV = 5 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, R^-15, S^-1*R^-1*S^2*R*S^-2*R*S^-2*R*S^-1*R*S*R^-1*S^-1*R*S^3*R^-1*S^2*R^-2*S^-1 ] C295.28 : Type {16,16}_14 Order 1568 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^3*S*R^-1*S*R^-1*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R^16 ] C295.29 : Type {16,16}_14 Order 1568 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S*R^2*S^-1*R*S, R^-2*S^2*R^3*S*R^-1*S^-3, R^16, R*S^-1*R^7*S^-2*R^4*S^-1 ] C295.30 : Type {24,48}_112 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1 ] C295.31 : Type {24,48}_112 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-2*R^2*S^-1*R^2*S^-5 ] C295.32 : Type {24,48}_112 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R*S^-1*R^-3*S^2*R^-2*S*R^-2*S^4 ] C295.33 : Type {24,48}_112 Order 1344 mV = 8 mF = 4 Defining relations for automorphism group: [ (R*S)^2, R^7*S^-2*R*S^-2, S*R^6*S*R^-1*S^2*R^-1, (R*S^-3*R^2)^2, S*R*S^-1*R^-1*S*R^3*S^-1*R*S^4 ] C295.34 : Type {24,216}_54 Order 1296 mV = 72 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-6*S*R^-13*S^2*R^-1*S, S^-2*R^-1*S^5*R*S^-1*R^-1*S*R^-2*S*R^-1*S^-8 ] C295.35 : Type {24,216}_108 Order 1296 mV = 72 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, R^-6*S*R^-13*S^2*R^-1*S, S^7*R*S^-1*R^-1*S*R^-1*S^-2*R*S^7 ] C295.36 : Type {87,174}_14 Order 1218 mV = 29 mF = 29 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S*R^-2, S*R^2*S^-1*R^2*S^4, S*R*S^-2*R^2*S*R^-1*S^2, R^-2*S*R^-49*S*R^-2*S^6*R^-3*S*R^-13*S^2*R^-1*S^3*R^-1*S^2 ] Genus 296 C296.1 : Type {10,150}_150 Order 1500 mV = 30 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R*S^-1*R^4*S^-1*R*S^-2, S^15*R*S^-3*R*S^2*R^-1*S^-1*R*S^9 ] C296.2 : Type {10,150}_150 Order 1500 mV = 30 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R*S^-1*R^4*S^-1*R*S^-2, S^15*R*S^-1*R*S^2*R^-1*S^-3*R*S^9 ] Genus 297 C297.1 : Type {3,12}_296 Order 7104 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, S^12, (R*S)^2, (R*S^-5)^2, S*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R^-1*S^2*R^-1*S^2*R^-1*S^2*R*S^-2*R^-1*S^2*R^-1*S^2*R*S^-2*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^2*R^-1*S^2*R^-1*S^-2*R*S^2*R^-1*S^2*R^-1*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^-2*R*S^3*R^-1*S^2*R^-1*S ] C297.2 : Type {4,8}_148 Order 4736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R*S^-1*R^-1*S*R^-2*S^2*R^2*S ] C297.3 : Type {4,8}_296 Order 4736 mV = 1 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, R^-1*S^-4*R^2*S^4*R^-1, R^-1*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R^2*S ] C297.4 : Type {4,8}_296 Order 4736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C297.5 : Type {4,8}_296 Order 4736 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R^2*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C297.6 : Type {4,12}_222 Order 3552 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-2)^4, S^12, R*S^-4*R^-1*S*R^2*S^-3*R*S*R^-1*S^-1, R*S^-1*R^-1*S*R*S^-3*R^2*S*R^-1*S^-4, R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^-2 ] C297.7 : Type {4,12}_444 Order 3552 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-2*R*S^-1*R*S^-1*R^2*S^2*R^2*S ] C297.8 : Type {4,20}_740 Order 2960 mV = 5 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^20, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C297.9 : Type {4,36}_666 Order 2664 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S*R*S^-1*R^-1*S*R*S^-1*R^-1*S^2*R*S^-2*R^-1*S*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^5 ] C297.10 : Type {6,6}_296 Order 3552 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S*R^2*S^-3*R^-1*S*R*S^-1*R^-1*S*R^-1*S^-2*R*S^2*R^-1*S^-3*R^2*S*R^-1*S^3*R^-1*S^2*R*S^-2*R*S^-1*R*S^3*R^2*S*R^-1*S ] C297.11 : Type {6,40}_60 Order 1920 mV = 5 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1)^4, S^-2*R^2*S^-1*R^-2*S^2*R^-1*S^-1*R, S^10*R^-3*S^-2*R^2*S^-4*R*S^4 ] C297.12 : Type {8,8}_148 Order 2368 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-2*R^2*S^-2*R^-1*S*R^2*S^2*R^2*S^2*R^2*S^-1 ] C297.13 : Type {8,8}_296 Order 2368 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*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^-1*R*S^-2*R*S^-1 ] C297.14 : Type {8,8}_296 Order 2368 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-2*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^2*R^-2*S*R^-1*S^-1*R*S^2*R^2*S^2*R^2*S^-1 ] C297.15 : Type {8,8}_296 Order 2368 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S^-1 ] C297.16 : Type {8,8}_296 Order 2368 mV = 2 mF = 2 Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^2*R^-2*S*R^-1*S^-2*R*S^-1 ] C297.17 : Type {8,24}_222 Order 1776 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^2 ] C297.18 : Type {8,24}_444 Order 1776 mV = 6 mF = 2 Defining relations for automorphism group: [ R^8, (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-5*R^4*S^-7, R^-1*S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S*R^-1*S^2 ] C297.19 : Type {12,12}_148 Order 1776 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ (R*S)^2, R^12, S^-2*R^5*S^-3*R*S^-1, S*R*S^-1*R^4*S*R^-1*S^3, R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2 ] C297.20 : Type {12,12}_148 Order 1776 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (S^-1*R)^3, R^12, (R*S^-2*R^3)^2, S^-1*R^-1*S*R*S^-1*R^-1*S*R^2*S^3*R^-1*S^-3 ] C297.21 : Type {12,12}_148 Order 1776 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-2*R^3)^2, S^-1*R^-1*S*R^4*S*R^-3*S^-1 ] C297.22 : Type {12,12}_148 Order 1776 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S^2*R^-2, S*R^2*S^-1*R^2*S^4, R^12, (R*S^-1*R^4)^2, S^-1*R*S^-2*R*S^-2*R^-1*S*R^-1*S^2*R^-1*S^-1*R*S^2*R^-1*S^2*R*S^-1 ] C297.23 : Type {12,12}_148 Order 1776 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2*R*S^-1*R*S^-1 ] C297.24 : Type {20,20}_74 Order 1480 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R*S^-1*R^-2*S*R^-1*S^-1*R*S^-2*R^-1*S*R*S^-1*R^-2*S^-1*R*S^-1*R*S^2*R^-1*S, R*S^-1*R^12*S^-2*R*S^-3 ] C297.25 : Type {28,42}_12 Order 1344 mV = 3 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S^3*R^-1*S, R^-2*S*R^4*S^-1*R*S*R^-1*S, S^-2*R^6*S^-2*R^2*S^-2 ] C297.26 : Type {36,36}_74 Order 1332 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S*R^-1*S^-2, S*R^7*S*R^-3*S^2, R^11*S^-1*R*S^-3*R*S^-1 ] C297.27 : Type {36,36}_74 Order 1332 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^4*S*R^-1*S*R^-2, S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S, R^-2*S*R^-9*S^6 ] C297.28 : Type {36,36}_74 Order 1332 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^-1*S^2*R^2*S^-2*R*S, S*R*S^-2*R^4*S*R^-3*S^2, R^3*S^-1*R^2*S^-1*R*S^-1*R^6*S^-2*R ] C297.29 : Type {36,36}_74 Order 1332 mV = 3 mF = 3 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^4*S*R^-1*S^-1*R*S, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-1, R*S^-1*R*S^-1*R^2*S^-1*R^4*S^-2*R^5 ] C297.30 : Type {36,36}_74 Order 1332 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^-2*S*R^-1*S*R^-5*S*R^-1*S*R^-1*S*R^-1*S^2 ] C297.31 : Type {40,80}_8 Order 1280 mV = 10 mF = 10 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R*S^-3*R^2*S^-1*R*S^-1*R^4*S^-2*R*S^-1*R*S^-1 ] C297.32 : Type {77,154}_4 Order 1232 mV = 22 mF = 11 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^5*S^3*R^-1, R^3*S^-1*R^58*S^-1*R^10*S^-1*R^2*S^-1 ] Genus 298 C298.1 : Type {3,72}_36 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ R^3, (R*S)^2, S^-1*R*S^-2*R*S^-2*R*S^-1*R*S^-2*R*S^-2*R*S^-2, (S*R^-1*S^5)^3, S^-3*R^-1*S^9*R^-1*S^-8*R*S^2*R^-1*S^-2 ] C298.2 : Type {4,136}_136 Order 2448 mV = 17 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^-3*R*S^-1*R^-2*S^-3*R*S^-1, S^34*R^2*S^2*R^-1*S^-4*R*S^28 ] C298.3 : Type {6,36}_12 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-3*S^-3*R*S^-1, (R*S^-1)^6, R*S^-3*R^-1*S*R^2*S^-2*R*S*R^-1*S^-1, S^-3*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-2 ] C298.4 : Type {6,36}_36 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^-1*R^2*S^-1*R^-2*S^-1*R^2*S^-1, S^2*R*S^-2*R^-1*S^2*R*S^-3*R*S^3 ] C298.5 : Type {6,36}_36 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^2, S^4*R*S^-2*R^2*S^-2*R*S^4 ] C298.6 : Type {6,36}_36 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^-1*S*R^-2*S*R^-1*S^2, S^-1*R^-1*S*R*S^-3*R^2*S^-7 ] C298.7 : Type {6,36}_36 Order 1944 mV = 3 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-2*R*S^-2*R^2*S^-2*R*S^-2, S^-1*R^-1*S*R*S^-3*R^2*S^-7 ] C298.8 : Type {6,36}_36 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S^2*R^2*S^-1*R^-1*S*R^-1*S^-1*R^2*S, (R*S^-2*R*S^-1*R)^2, R^2*S^-4*R^2*S*R^-1*S^-1*R*S^2, S^-3*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-2 ] C298.9 : Type {6,36}_36 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, (R*S^-5)^2, S^-2*R^2*S^-2*R^2*S^3*R^-1*S^-1*R, S^-3*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-2 ] C298.10 : Type {6,36}_36 Order 1944 mV = 6 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, R*S^-3*R^-3*S^-1*R^2*S^-2, (R*S^-1)^6, S^-1*R^-1*S*R*S^-2*R^2*S*R^-1*S^-3*R, S^-3*R^-1*S^2*R*S^-1*R*S^4*R^-1*S^-2 ] C298.11 : Type {6,36}_36 Order 1944 mV = 12 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-2)^2, R^-2*S*R*S^-4*R^-1*S*R^-3*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^2 ] C298.12 : Type {9,12}_18 Order 1944 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^12, S^2*R^-1*S^4*R^2*S^4*R^-1*S^2, R*S^-2*R^-1*S^2*R^-1*S^2*R^2*S*R^-1*S^-3*R*S^-2 ] C298.13 : Type {10,70}_154 Order 1540 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, R^2*S^-1*R^3*S^-2*R*S^-1, S^-3*R^-1*S*R*S^-2*R*S^6*R^-1*S^-2 ] C298.14 : Type {10,70}_154 Order 1540 mV = 7 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, S^-2*R*S^-1*R^2*S^-2*R*S^-1, S^2*R*S^-3*R^-1*S^3*R^-1*S^-4*R*S^2 ] C298.15 : Type {10,70}_154 Order 1540 mV = 14 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, S*R*S^-1*R^-1*S*R^2*S^-1*R*S^2*R^-1, S^-2*R^-1*S^3*R^-2*S^2*R^-1*S^-7 ] C298.16 : Type {10,70}_154 Order 1540 mV = 14 mF = 1 Defining relations for automorphism group: [ R^10, (R*S)^2, (R*S^-2*R^2)^2, (R*S^-1*R*S^-1*R)^2, R*S^-3*R*S^-1*R^-2*S^-1*R^4*S^-1, S^5*R^-2*S*R^3*S^-1*R*S^7 ] C298.17 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S*R^-2*S*R^-1, S^-5*R^-2*S^-3*R^2*S^-1 ] C298.18 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S*R^-1*S^2*R^-1, S*R*S^-1*R^4*S*R^-2*S*R^-1, R^2*S^-3*R^-2*S^-6 ] C298.19 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R^6*S*R^-1*S^2*R^-1, S^-5*R^-2*S^-3*R^2*S^-1 ] C298.20 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^-1*R^6*S^-1*R*S^-2*R, (R*S^-3*R^2)^2, R^2*S^-3*R^-2*S^-6 ] C298.21 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-1*R*S^-2*R, R^3*S^-1*R^3*S*R^-2*S^-2, R^2*S^-3*R^-2*S^-6 ] C298.22 : Type {18,27}_54 Order 1458 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-1*R*S^-2*R, R^3*S^-1*R^3*S*R^-2*S^-2, S^-5*R^-2*S^-3*R^2*S^-1 ] C298.23 : Type {18,27}_54 Order 1458 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, S^-1*R^2*S^-1*R^2*S*R^-1*S^-1*R, R^18, S^-4*R^-1*S*R*S^-1*R^7*S*R^-3*S^-2 ] C298.24 : Type {18,27}_54 Order 1458 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R^-2*S*R^-2*S*R^-2*S^7, R*S^-1*R*S^-1*R^5*S*R^-4*S^-1*R ] C298.25 : Type {18,27}_54 Order 1458 mV = 9 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2)^2, R*S^-1*R^-1*S*R*S^-1*R^-2*S^-1*R*S^5, R^-3*S*R^5*S*R^-2*S*R^-1*S*R^-1 ] C298.26 : Type {26,26}_6 Order 1404 mV = 1 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-1*S*R^-1, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, R^-2*S*R^-1*S*R^-7*S*R^-6*S*R^-1*S^2*R^-1*S^2 ] C298.27 : Type {26,26}_6 Order 1404 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-2*R^2*S*R^-1*S^2, S*R^2*S^-1*R^3*S^4*R^-1, R^-2*S^2*R^3*S^-2*R*S^2, S^-1*R*S^-2*R*S^-1*R*S^-1*R^12*S^-1*R*S^-1*R*S^-1*R ] C298.28 : Type {30,60}_44 Order 1320 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S*R*S^-1*R^4*S*R^-1*S^3, R^-2*S*R^4*S*R^-1*S^-1*R*S, S*R^-2*S^2*R^-4*S*R^-2*S*R^-1*S*R^-8*S*R^-5*S ] C298.29 : Type {30,60}_44 Order 1320 mV = 6 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^3*S*R^-2*S, R^-2*S*R^4*S^-1*R*S*R^-1*S, R*S^-2*R^2*S^-3*R*S^-1*R*S^-1*R*S^-2*R*S^-2*R^7*S^-2*R*S^-1*R ] C298.30 : Type {30,60}_44 Order 1320 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S^2*R^-1*S*R^2*S^-2*R*S, S^-1*R^-1*S*R^4*S*R^-3*S^-1, R^5*S^-2*R^9*S^-1*R^8*S^-1*R^4 ] C298.31 : Type {30,60}_44 Order 1320 mV = 12 mF = 3 Defining relations for automorphism group: [ (R*S)^2, R^-2*S*R^3*S^-1*R*S^2, S*R^6*S*R^-2*S^2, R*S^-6*R*S^-2*R*S^-1*R^13*S^-2*R*S^-1*R ] C298.32 : Type {36,72}_8 Order 1296 mV = 9 mF = 9 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^-1*S^2*R*S^-1*R^2*S*R^-1*S^-1*R*S, S^-3*R^-1*S*R^2*S^3*R^-1*S^-1, R^-1*S^3*R^-10*S^2*R^-1*S ] C298.33 : Type {36,72}_72 Order 1296 mV = 8 mF = 6 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S^3*R^-2*S*R^-4*S^8 ] C298.34 : Type {36,72}_72 Order 1296 mV = 12 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^2*S^-1*R^3*S*R^-1*S*R^-2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^3*R*S^-1*R^2*S^-1*R*S^3, R*S^-1*R^-4*S^2*R^-2*S^-1*R^5, R^-1*S*R^-3*S*R^-7*S^4*R^-1 ] C298.35 : Type {136,136}_6 Order 1224 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R*S^-1*R^2*S*R^-1*S, S*R^5*S^3*R^-1, R^-44*S*R^-1*S^2*R^-3*S^2*R^-15 ] Genus 299 C299.1 : Type {4,8}_1192 Order 4768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S ] C299.2 : Type {4,8}_1192 Order 4768 mV = 2 mF = 1 Defining relations for automorphism group: [ R^4, S^8, (R*S)^2, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R^-1*S^2*R*S^-1*R^-1*S*R^-1*S*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S*R^-1*S^-2*R*S^-1*R^2*S^-1*R*S^2*R^2*S^2*R^2*S^2*R^2*S^2*R^2*S ] C299.3 : Type {4,12}_894 Order 3576 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^12, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C299.4 : Type {8,8}_298 Order 2384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-2*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C299.5 : Type {8,8}_596 Order 2384 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ R^8, S^8, (R*S)^2, S^-1*R^4*S^-3, S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S*R^-1*S^-2*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R ] C299.6 : Type {12,12}_298 Order 1788 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^12, R*S^-1*R*S^2*R^-1*S*R^-1*S*R^2*S^-2*R*S^-1*R^2*S*R^-1*S^2*R^-2*S^-1*R*S^-2*R^2*S*R^-1*S^-1*R*S^-1 ] Genus 300 C300.1 : Type {12,30}_260 Order 1560 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, R^12, (R*S^-1*R^4)^2, S^-1*R^2*S^-1*R^3*S^-1*R^2*S^-1*R, (R*S^-3*R^2)^2, R^-1*S^2*R*S^-2*R^2*S*R^-1*S^-1*R*S^2, S^-1*R^-1*S^4*R^2*S^4*R^-1*S^-1 ] C300.2 : Type {12,30}_260 Order 1560 mV = 5 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R*S^-2*R^2*S^3*R^-1, R^12, R*S^-1*R^-1*S*R*S^-1*R^2*S^-1*R^-2*S^-4*R*S^2 ] Genus 301 C301.1 : Type {4,6}_30 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^6, R^-1 * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^2 * R^-1 * S, R * S^-3 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S^3 * R^2 * S^-1 ] C301.2 : Type {4,12}_100 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^12, S*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R^-2*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S ] C301.3 : Type {4,16}_16 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^4, S^-2*R^-1*S^2*R^-1*S*R*S^-1*R*S^3*R^-1*S^-1*R*S^-2, S^2*R^-1*S^2*R^-1*S*R*S^-1*R*S^-3*R*S*R^-1*S^2, S^16 ] C301.4 : Type {4,16}_16 Order 3200 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-1)^4, S^-2*R^-1*S^2*R^-1*S*R*S^-1*R*S^-3*R*S*R^-1*S^-2 ] C301.5 : Type {4,16}_400 Order 3200 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C301.6 : Type {4,16}_400 Order 3200 mV = 4 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^16, R^-1*S*R^-1*S^2*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^-2*R^-1*S*R^-1*S*R^-1*S ] C301.7 : Type {4,24}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S, R*S^-5*R*S^-1*R*S^-1*R*S^-3*R*S^-1*R*S^-1*R*S^-1*R*S^-3 ] C301.8 : Type {4,24}_40 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, S^3*R*S^-1*R^-1*S^2*R^-1*S^-1*R*S, S^-1*R*S^-1*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R*S^-1*R*S*R^-1*S^2*R^-1*S^-1*R*S^-1 ] C301.9 : Type {4,28}_700 Order 2800 mV = 7 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S*R^-1*S^-1*R*S*R^-1*S^-2, S^28 ] C301.10 : Type {4,52}_650 Order 2600 mV = 13 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R*S^-1*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R*S^-1*R^-1*S*R^-2*S^-1*R*S*R^-1*S*R^-1*S*R^-1*S^-1*R*S^2, S^8*R*S^-2*R^-1*S^2*R*S^-1*R*S*R^-1*S^-1*R*S^2*R^-1*S^-6*R*S^3 ] C301.11 : Type {4,64}_320 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S^-1*R*S*R^-1*S*R^-1*S^-1, S^64 ] C301.12 : Type {4,64}_320 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, R^-1*S*R^-1*S*R^-1*S*R*S^-1*R*S^-1*R^-1*S*R^2*S^-1*R*S*R^-1*S^-1*R*S^-1*R*S^2, S^-14*R^-1*S^2*R^2*S*R^-1*S^-1*R*S^5*R^-1*S^-2*R*S^2*R^-1*S^-5 ] C301.13 : Type {4,124}_620 Order 2480 mV = 31 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^124 ] C301.14 : Type {4,244}_610 Order 2440 mV = 61 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^4, (R*S^-3)^2, S^-1*R^-1*S*R^-1*S*R^2*S*R^-1*S^-1*R*S^-1, S^61*R^2*S*R^-1*S^-2*R*S^58 ] C301.15 : Type {6,8}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, S^8, (R*S)^2, S^2*R*S^-1*R^-2*S^4*R^-1*S, (R*S^-1*R)^4 ] C301.16 : Type {6,12}_8 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ R^6, (R*S)^2, (S^-1*R^2*S^-1)^3, (R*S^-2)^4, S^12, S^-1*R^-1*S^3*R^-3*S^-1*R^2*S^-3, S^-1*R^2*S^-1*R^-2*S*R^-1*S^-1*R*S^-4 ] C301.17 : Type {6,12}_8 Order 2400 mV = 1 mF = 2 Defining relations for automorphism group: [ R^6, (R*S)^2, (R*S^-1*R)^2, (R*S^-2)^4, S^12, S^-4*R*S^-3*R^-1*S^2*R^-1*S^5*R^-1*S^-2 ] C301.18 : Type {9,24}_36 Order 1728 mV = 1 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S*R*S^-3*R*S^-1*R*S^4*R^-1*S, S^-7*R*S^-1*R^-1*S^6*R^-1*S^-2 ] C301.19 : Type {9,24}_36 Order 1728 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^-2*R*S^-3*R*S^-1*R^-1*S^2*R^-1*S^2*R^-1*S^-2, R*S^-1*R^-1*S*R*S^-2*R*S^-2*R^2*S^8 ] C301.20 : Type {9,24}_72 Order 1728 mV = 2 mF = 3 Defining relations for automorphism group: [ R^9, (R*S)^2, (R*S^-1*R)^2, S^2*R*S^-2*R^-2*S^-1*R*S^-2*R*S ] C301.21 : Type {12,12}_6 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, R^12, R^-2*S*R^4*S^-1*R*S^2*R^-1 ] C301.22 : Type {12,12}_6 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ (R*S)^2, (R*S^-3)^2, R^12, (S^-1*R^2*S^-1)^3, S*R*S^-1*R^-1*S*R^2*S*R^-1*S^-1*R*S, S*R*S^-2*R^4*S^-1*R*S^2*R^-2 ] C301.23 : Type {12,12}_30 Order 1800 mV = 1 mF = 1 Defining relations for automorphism group: [ (R*S)^2, R^12, S^-1*R^2*S^-1*R^3*S^-3*R*S^-1, S*R^-2*S*R^3*S^-2*R*S^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S^4*R^3*S^-1*R^2*S*R^-1 ] C301.24 : Type {12,12}_150 Order 1800 mV = 1 mF = 3 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, R^12, S^-2*R^5*S^-3*R*S^-1, S^12, S*R*S^-1*R*S^-1*R*S^-1*R^-2*S*R^-1*S*R^-1*S^-2*R*S^2 ] C301.25 : Type {12,12}_150 Order 1800 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R^12, S^12, S^-2*R^-1*S^2*R*S^-1*R*S^-1*R^2*S*R^-2*S^-1*R^2*S^2*R ] C301.26 : Type {16,16}_4 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^7*S*R^-1*S*R^-1*S*R^-1, S*R^2*S^-1*R^4*S*R^-3*S*R^-1, R^16 ] C301.27 : Type {16,16}_4 Order 1600 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ (R*S)^2, S^-1*R^-1*S*R^2*S*R^-1*S^-1, S*R^7*S*R^-1*S*R^-1*S*R^-1, R^3*S^-1*R^4*S*R^-2*S^-1*R*S^-1 ] C301.28 : Type {16,16}_8 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^6*S^-1*R*S*R^-1*S^-1, R*S^-1*R*S^-1*R^3*S*R^-1*S^-3, S^-5*R^2*S*R^-1*S^-1*R*S^-1, R^3*S^-1*R^4*S^2*R^-1*S^-3 ] C301.29 : Type {16,16}_20 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-2*R^3*S^2*R^-1*S*R^-1, R^3*S^-1*R^4*S*R^-2*S^-1*R*S^-1 ] C301.30 : Type {16,16}_20 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R^6*S^2*R^-2*S, S*R*S^-2*R^3*S^2*R^-1*S*R^-1, S*R^2*S^-1*R^4*S*R^-3*S*R^-1, R^16 ] C301.31 : Type {16,16}_40 Order 1600 mV = 2 mF = 2 Defining relations for automorphism group: [ (R*S)^2, (R*S^-2*R)^2, S^-1*R^-1*S^2*R^3*S^2*R^-1*S^-1*R, S*R^7*S*R^-1*S*R^-1*S*R^-1, S*R^2*S^-1*R^4*S*R^-3*S*R^-1 ] C301.32 : Type {16,16}_100 Order 1600 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S^-1*R*S^-2*R*S^-1*R^2*S^2*R^-1*S*R^-1*S*R*S^-1*R^2*S*R^-1*S^-1*R*S^-1*R*S^2*R^2 ] C301.33 : Type {16,16}_100 Order 1600 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, R^16, S*R*S^-1*R*S^-1*R^2*S^2*R^-1*S*R^-1*S*R*S^-1*R^2*S^2*R^-2*S^-1*R*S^-1*R*S^2*R^-1 ] C301.34 : Type {16,16}_200 Order 1600 mV = 4 mF = 4 Defining relations for automorphism group: [ (R*S)^2, S^-1*R^4*S^-3, S^-1*R^2*S^-1*R^3*S*R^-1*S^-1*R^2, S^-1*R*S^-1*R^2*S^-1*R*S^-2*R^-1*S*R^2*S^-2*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1*R*S^-1*R*S^-1 ] C301.35 : Type {24,24}_60 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R*S^-1*R*S^-1*R^2*S^2*R^-2*S, S*R^8*S*R^-4*S^2, S^2*R^-2*S*R^-1*S*R^-1*S*R^-5*S*R^-4*S*R^-1*S^3 ] C301.36 : Type {24,24}_60 Order 1440 mV = 6 mF = 2 Defining relations for automorphism group: [ (R*S)^2, S*R*S^-3*R*S^4, S*R*S^-1*R^4*S^2*R^-3, S*R^2*S^-1*R^3*S^2*R^-1*S^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S*R^8*S*R^-4*S^2 ] C301.37 : Type {24,24}_60 Order 1440 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, S^-1*R*S^-1*R*S^-1*R*S^-1*R^2*S*R^-1*S*R^-1*S^-1*R*S^-1, R*S^-1*R^-1*S^2*R*S^-2*R^2*S^-1*R*S^6, R^-1*S*R^2*S^-1*R^-7*S^2*R^-2*S^-2 ] C301.38 : Type {24,24}_60 Order 1440 mV = 6 mF = 6 Self-dual Defining relations for automorphism group: [ (R*S)^2, (R*S^-1*R^2)^2, (R*S^-3)^2, R*S^-2*R*S^-1*R^2*S^-1*R*S^-1*R*S^-1, S^4*R*S^-2*R^9*S^5*R^-2*S ] C301.39 : Type {28,28}_50 Order 1400 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R^-1*S*R^-1*S*R^-1*S*R^2*S^-1*R*S^-1*R*S^-1*R*S, S*R^-1*S^3*R^-1*S*R^-1*S*R^-12*S^6*R^-1 ] C301.40 : Type {30,45}_90 Order 1350 mV = 3 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S^2*R^-1*S, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R^-1*S^6*R^-2*S^7 ] C301.41 : Type {40,160}_32 Order 1280 mV = 40 mF = 5 Defining relations for automorphism group: [ (R*S)^2, S*R^2*S^-1*R^2*S*R^-1*S*R^-1, S*R*S^-1*R*S^-1*R*S^2*R^-1*S, S*R^6*S*R^-1*S^2*R^-1, S^4*R^3*S^-2*R*S^2, S*R^-1*S^3*R^-1*S*R^-1*S^2*R^-1*S*R^-1*S*R^-3*S^2*R^-8*S*R^-1*S^2*R^-1*S*R^-1*S*R^-3*S^2 ] C301.42 : Type {52,52}_50 Order 1300 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R^-1*S*R^-2*S^-1*R*S^-1*R*S^-1*R, R^-1*S*R^-2*S*R^-1*S*R^-13*S*R^-1*S^2*R^-1*S ] C301.43 : Type {64,64}_20 Order 1280 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R*S^-1*R^2*S*R^-1*S^2*R^-1, S*R^-1*S^26*R^-1*S*R^-2*S^3*R^-2*S*R^-1*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C301.44 : Type {64,64}_20 Order 1280 mV = 16 mF = 16 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S^-2*R^-1*S*R^-1*S*R*S^-1*R^-1*S*R^-2*S^-1*R*S^-1*R, R^-2*S^3*R^-3*S*R^-1*S*R^-13*S^5*R^-1*S^2 ] C301.45 : Type {64,64}_40 Order 1280 mV = 16 mF = 16 Defining relations for automorphism group: [ (R*S)^2, S*R^5*S*R^-3, S*R*S^-3*R*S^4, S*R^2*S^-1*R^3*S^2*R^-1*S^2, S*R^-1*S*R*S^-1*R^2*S^-1*R*S^2*R^-1, R^2*S^-2*R^3*S^-2*R*S^-2*R^9*S^-3*R^4*S^-1*R*S^-2 ] C301.46 : Type {124,124}_10 Order 1240 mV = 31 mF = 31 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, R^-1*S*R^-87*S^4*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] C301.47 : Type {154,154}_4 Order 1232 mV = 22 mF = 22 Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^2*R^-1, R^-2*S^23*R^-14*S^112*R^-1*S*R^-1 ] C301.48 : Type {244,244}_10 Order 1220 mV = 61 mF = 61 Self-dual Defining relations for automorphism group: [ (R*S)^2, S*R^4*S^3, S*R*S^-1*R^2*S*R^-1*S, S^2*R^-85*S^4*R^-2*S*R^-3*S*R^-1*S*R^-11*S^7*R^-1*S^3 ] Total number of maps in list above: 3870 Marston Conder August 2012 and February 2013