Regular non-orientable maps of genus 2 to 602 --------------------------------------------- Below is a list of all (reflexible) non-orientable regular maps on surfaces of genus 2 to 602, up to isomorphism and duality. The notation "Ng.n" is used for the nth non-orientable regular map of genus g. These were found by Marston Conder (University of Auckland) in 2012 with the help of the "LowIndexNormalSubgroups" routine in Magma, and the list extends the list of those of genus 2 to 202 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. [Note: the first of these two papers contained some errors in the multiplicities for those non-orientable regular maps Steve Wilson describes as "cantankerous"; these were corrected in the second paper. The list below has the correct ones.] Total number of maps in list below: 3260 Marston Conder December 2012 [plus one correction made for genus 602 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 N602.5 was added, and others of genus 602 were re-numbered] Genus 2 No non-orientable regular maps of genus 2 Genus 3 No non-orientable regular maps of genus 3 Genus 4 N4.1 : Type {4,6}_6 Order 48 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^6 ] N4.2 : Type {4,6}_3 Order 48 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^6, R * S^-1 * R^-2 * S^-2 * T ] Genus 5 N5.1 : Type {4,5}_6 Order 120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^-1 * R * S^-1 * R^2 * S * R^-1 * T ] N5.2 : Type {4,6}_4 Order 72 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S * R * S^-1 * R^2 * S^-1 * R * S ] N5.3 : Type {5,5}_3 Order 60 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S^-1 * R)^3, R * S^-1 * R^-2 * S^-2 * T ] N5.4 : Type {6,6}_3 Order 36 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R^-3 * S^2 * T ] Genus 6 N6.1 : Type {3,10}_10 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R * S^-1 * R * S^-3 * T ] N6.2 : Type {3,10}_5 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N6.3 : Type {4,5}_5 Order 160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^4, S^-1 * T * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 ] Genus 7 N7.1 : Type {4,6}_5 Order 120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^6, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T ] N7.2 : Type {4,9}_9 Order 72 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-9 ] Genus 8 N8.1 : Type {3,7}_9 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * T * S^-1 ] Genus 9 N9.1 : Type {3,8}_7 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N9.2 : Type {3,8}_8 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N9.3 : Type {6,10}_15 Order 60 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-2 * R^-3 * S^3 * T ] Genus 10 N10.1 : Type {4,6}_6 Order 192 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N10.2 : Type {4,12}_12 Order 96 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^2 * R * S^-1 * R^2 * S^-3 * T ] N10.3 : Type {4,12}_12 Order 96 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^12 ] N10.4 : Type {5,6}_10 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T ] N10.5 : Type {5,6}_5 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2)^2, S^-1 * R * S^-1 * R^-2 * S * R^-2 * T ] N10.6 : Type {5,6}_4 Order 120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-3 * R^-2 * S * R^-2 * T ] Genus 11 N11.1 : Type {4,6}_12 Order 216 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R^2 * S * R^-1 * T ] N11.2 : Type {6,6}_3 Order 108 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R * S^-1 * R^-2 * S^-2 * T ] Genus 12 N12.1 : Type {4,6}_5 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N12.2 : Type {4,6}_10 Order 240 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * T ] N12.3 : Type {6,6}_6 Order 120 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R * S^-1 * R^3 * S * R^-1 * T, S^-1 * R * S^-2 * R * S^2 * T ] Genus 13 N13.1 : Type {4,15}_15 Order 120 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-15 ] N13.2 : Type {6,14}_21 Order 84 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^4 * R^3 * S^-3 * T ] Genus 14 N14.1 : Type {3,10}_15 Order 360 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-2 * T * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 ] N14.2 : Type {5,10}_6 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-2 * R)^2, S^-3 * R^2 * S * R^-1 * T ] N14.3 : Type {5,10}_3 Order 120 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, R * S^-1 * R^-2 * S^-2 * T ] Genus 15 N15.1 : Type {3,7}_13 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * T * S^-2 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] Genus 16 N16.1 : Type {3,9}_7 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N16.2 : Type {4,6}_8 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T ] N16.3 : Type {4,18}_9 Order 144 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * T * S^-3 * R^2 * S^-5 ] N16.4 : Type {4,18}_18 Order 144 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^18 ] N16.5 : Type {6,10}_5 Order 120 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^3 * S^-3, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N16.6 : Type {6,10}_10 Order 120 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-2 * R^3 * S^-3, S^-1 * R * S^-2 * R^2 * S * R^-1 * S * T ] N16.7 : Type {8,12}_3 Order 96 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-2 * S^-2 * T ] N16.8 : Type {8,12}_6 Order 96 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^-2 * S^2 * T ] Genus 17 N17.1 : Type {3,8}_10 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-2 * T * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N17.2 : Type {4,10}_4 Order 200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^10, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * T ] N17.3 : Type {6,18}_9 Order 108 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^2 * T * S^-2 * R^-3 * S^5 ] N17.4 : Type {10,10}_5 Order 100 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, R^-1 * T * S^-2 * R^4 * S^-3 ] Genus 18 No non-orientable regular maps of genus 18 Genus 19 N19.1 : Type {4,21}_21 Order 168 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-21 ] Genus 20 N20.1 : Type {4,10}_6 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, (R * S^-4)^2 ] N20.2 : Type {4,10}_6 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, R * S^-1 * R * S^-1 * R^-2 * S^-4 * T ] N20.3 : Type {6,12}_3 Order 144 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^4 ] N20.4 : Type {10,10}_3 Order 120 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^-2 * S^-2 * T ] N20.5 : Type {10,10}_6 Order 120 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^3 * S^-2 * T ] Genus 21 N21.1 : Type {6,22}_33 Order 132 mV = 11 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^2 * T * S^-4 * R^3 * S^5 ] Genus 22 N22.1 : Type {4,24}_24 Order 192 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^6 * R^-2 * S * R^-1 * S^-2 * T * S^3 ] N22.2 : Type {4,24}_24 Order 192 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^24 ] N22.3 : Type {6,6}_6 Order 240 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R * S^-1 * R^3 * S * R^-1 * T ] N22.4 : Type {6,8}_3 Order 192 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^8 ] Genus 23 N23.1 : Type {3,8}_21 Order 1008 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, S^-2 * R * S^-4 * R * S^-1 * R^-1 * S^2 * R^-1 * S * T * S^-2 * R * S^-1 ] N23.2 : Type {4,8}_7 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^8, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^2 ] N23.3 : Type {4,8}_6 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T ] Genus 24 No non-orientable regular maps of genus 24 Genus 25 N25.1 : Type {4,27}_27 Order 216 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-27 ] N25.2 : Type {6,26}_39 Order 156 mV = 13 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-7 * R^3 * S^5 * T * S^-1 ] N25.3 : Type {10,14}_35 Order 140 mV = 7 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^3 * R^-5 * S^-3 * T * S ] Genus 26 N26.1 : Type {3,10}_8 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S^-2 * T * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N26.2 : Type {4,10}_5 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N26.3 : Type {4,10}_10 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^10, S^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-2 ] Genus 27 No non-orientable regular maps of genus 27 Genus 28 N28.1 : Type {4,30}_15 Order 240 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-8 * R * S * R^-1 * S^-3 * T * S * R^-1 * S^-2 ] N28.2 : Type {4,30}_30 Order 240 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^30 ] Genus 29 N29.1 : Type {3,12}_9 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S * R * S^-3 * R^-1 * S * R^-1 * S^-3 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * T * S^-1 ] N29.2 : Type {6,6}_9 Order 324 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N29.3 : Type {6,12}_12 Order 216 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N29.4 : Type {6,12}_12 Order 216 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, (R * S^-3)^2 ] N29.5 : Type {6,12}_4 Order 216 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^2 * S^-1 * R^3 * S^-3 * T ] N29.6 : Type {6,30}_15 Order 180 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-8 * R^3 * S^5 * T * S^-2 ] Genus 30 N30.1 : Type {4,6}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] N30.2 : Type {4,6}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N30.3 : Type {5,8}_5 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N30.4 : Type {5,8}_10 Order 320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * T ] N30.5 : Type {6,6}_8 Order 336 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] N30.6 : Type {6,10}_5 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N30.7 : Type {6,10}_10 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R^2 * S * R^-1 * S * T ] N30.8 : Type {6,10}_10 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R * S^-3 * T ] N30.9 : Type {6,10}_10 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, (R * S^-4)^2, S^-2 * R * S^-1 * R^-2 * S^-2 * R * S * T ] N30.10 : Type {6,10}_4 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^-2 * R^-3 * S^2 * R^-1 * T ] N30.11 : Type {6,10}_4 Order 240 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T ] Genus 31 N31.1 : Type {4,33}_33 Order 264 mV = 11 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-33 ] Genus 32 N32.1 : Type {4,6}_15 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] Genus 33 N33.1 : Type {6,34}_51 Order 204 mV = 17 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-9 * R^3 * S^5 * T * S^-3 ] N33.2 : Type {10,18}_45 Order 180 mV = 9 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^2 * T * S^3 * R^3 * S^-5 ] Genus 34 N34.1 : Type {4,12}_12 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N34.2 : Type {4,12}_12 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N34.3 : Type {4,36}_36 Order 288 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^36 ] N34.4 : Type {4,36}_36 Order 288 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^9 * R^2 * S * R^-1 * S^-2 * T * S^6 ] N34.5 : Type {6,7}_7 Order 336 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^-7 ] N34.6 : Type {8,24}_24 Order 192 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R^2 * S^-3 * T ] N34.7 : Type {8,24}_24 Order 192 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * R^-1 * S * R^2 * S^3 * T ] Genus 35 N35.1 : Type {4,5}_11 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1, (R^-1 * S * R^-1 * S^2)^3 ] N35.2 : Type {4,5}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N35.3 : Type {5,5}_5 Order 660 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 36 N36.1 : Type {6,20}_15 Order 240 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S^2 * R^-2 * S^3 * T ] Genus 37 N37.1 : Type {4,14}_4 Order 392 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T * S^-1 * R ] N37.2 : Type {4,39}_39 Order 312 mV = 13 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-39 ] N37.3 : Type {6,8}_4 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-4 * R^-2 * S^2 * R^-2 * T ] N37.4 : Type {6,8}_6 Order 336 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^3, S^8, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N37.5 : Type {6,10}_3 Order 300 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^10 ] N37.6 : Type {6,38}_57 Order 228 mV = 19 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-10 * R^3 * S^5 * T * S^-4 ] N37.7 : Type {14,14}_7 Order 196 mV = 7 mF = 7 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * R^6 * S^-2 * T * S * R * S^-1 ] Genus 38 N38.1 : Type {4,10}_12 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^10, S^3 * R * S^-1 * R^2 * S^-3 * R * T ] N38.2 : Type {4,10}_12 Order 480 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N38.3 : Type {10,10}_6 Order 240 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S^-2 * T, R^10 ] N38.4 : Type {10,10}_3 Order 240 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R)^2 ] N38.5 : Type {10,10}_6 Order 240 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-2 * R^-3 * S * R^-1 * S * T ] Genus 39 No non-orientable regular maps of genus 39 Genus 40 N40.1 : Type {4,42}_42 Order 336 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^42 ] N40.2 : Type {4,42}_21 Order 336 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-11 * R * S * R^-1 * S^-3 * T * S * R^-1 * S^-5 ] Genus 41 N41.1 : Type {6,42}_21 Order 252 mV = 21 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-11 * R^3 * S^5 * T * S^-5 ] N41.2 : Type {7,8}_4 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (S * R^-1 * S)^3, R^-2 * S * R^3 * S * R^-1 * S * T ] N41.3 : Type {7,8}_3 Order 336 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, S^8 ] N41.4 : Type {10,22}_55 Order 220 mV = 11 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^6 * R^3 * S^-2 * T * R^-1 * S^-1 * R * S^2 ] Genus 42 N42.1 : Type {5,6}_5 Order 600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2 * R * S^-1 * R)^2 ] N42.2 : Type {6,8}_6 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T ] N42.3 : Type {6,8}_6 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R * S^2 * T ] Genus 43 N43.1 : Type {4,45}_45 Order 360 mV = 15 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-45 ] Genus 44 N44.1 : Type {4,8}_7 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2 , S * T * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N44.2 : Type {4,8}_14 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^8, S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^2 ] N44.3 : Type {4,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] N44.4 : Type {4,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^-1 * T * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 ] N44.5 : Type {8,8}_3 Order 336 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, S^8, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 ] N44.6 : Type {8,8}_8 Order 336 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, S^8, R * S^-1 * R^4 * S * R^-2 * T ] Genus 45 N45.1 : Type {6,46}_69 Order 276 mV = 23 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-12 * R^3 * S^2 * T * S^-9 ] Genus 46 N46.1 : Type {3,10}_11 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-1 ] N46.2 : Type {3,10}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-1 * R^-1 * S * T * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-3 * R * S^-1 ] N46.3 : Type {4,15}_15 Order 480 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-15 ] N46.4 : Type {4,48}_48 Order 384 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^48 ] N46.5 : Type {4,48}_48 Order 384 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12 * R^2 * S * R^-1 * S^-1 * T * S^10 ] N46.6 : Type {5,6}_6 Order 660 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N46.7 : Type {8,10}_5 Order 320 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N46.8 : Type {8,10}_10 Order 320 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S^-1 * R^-4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] Genus 47 N47.1 : Type {3,8}_10 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-2 * R * S^-3 * R^-1 * S^-3 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * T * S^-2 ] N47.2 : Type {4,8}_5 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N47.3 : Type {4,9}_9 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-9 ] N47.4 : Type {6,18}_9 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^5 ] N47.5 : Type {6,18}_9 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^-2 * S^3 * T ] N47.6 : Type {6,18}_3 Order 324 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^6 ] Genus 48 No non-orientable regular maps of genus 48 Genus 49 N49.1 : Type {4,51}_51 Order 408 mV = 17 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-51 ] N49.2 : Type {6,50}_75 Order 300 mV = 25 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-13 * R^3 * S^2 * T * S^-10 ] N49.3 : Type {10,26}_65 Order 260 mV = 13 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-7 * R^-4 * S^-1 * T * S^3 * R * S^-2 ] N49.4 : Type {14,18}_63 Order 252 mV = 9 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-5 * R^-5 * S^4 * T * R ] Genus 50 N50.1 : Type {3,14}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S, S^-1 * R^-1 * S * T * S^-1 * R^-1 * S^3 * R^-1 * S^-3 * R * S^-2 * R * S^-1 ] N50.2 : Type {3,14}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * T * S^-1, S^5 * R * S^-1 * R^-1 * S^5 * R^-1 * S ] N50.3 : Type {4,5}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, (R * S^-1)^6, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * T * R * S * R^-1 ] N50.4 : Type {4,6}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, (R * S^-2)^4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S * T ] N50.5 : Type {4,7}_7 Order 896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-7, (R * S^-2)^4, R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T * S ] N50.6 : Type {5,5}_6 Order 960 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S * R^-2 * S ] N50.7 : Type {5,6}_6 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * T * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^-1 ] N50.8 : Type {6,6}_6 Order 576 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] N50.9 : Type {6,15}_15 Order 360 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-3 * R^-2 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 51 N51.1 : Type {3,13}_7 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^-13, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] Genus 52 N52.1 : Type {4,54}_27 Order 432 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-14 * R^2 * S^-1 * R * S^2 * T * S^-10 ] N52.2 : Type {4,54}_54 Order 432 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^54 ] N52.3 : Type {6,8}_10 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * T ] N52.4 : Type {6,8}_5 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N52.5 : Type {6,28}_21 Order 336 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^-2 * S^-4 * T ] N52.6 : Type {8,36}_9 Order 288 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^4 * R * S^-1 * R^2 * S^-3 * T * S ] N52.7 : Type {8,36}_18 Order 288 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^4 * R * S^-1 * R^-2 * S^-4 * T ] Genus 53 N53.1 : Type {6,20}_20 Order 360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * T ] N53.2 : Type {6,54}_27 Order 324 mV = 27 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-14 * R^3 * S^2 * T * S^-11 ] Genus 54 No non-orientable regular maps of genus 54 Genus 55 N55.1 : Type {4,57}_57 Order 456 mV = 19 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-57 ] Genus 56 N56.1 : Type {4,6}_9 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^4, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * T * S^-1 * R * S^2 ] N56.2 : Type {4,6}_6 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] N56.3 : Type {4,10}_10 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N56.4 : Type {6,12}_3 Order 432 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^12 ] N56.5 : Type {7,7}_9 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N56.6 : Type {12,24}_6 Order 288 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^-4 * S * R^-1 * S^-1 * T ] N56.7 : Type {12,24}_3 Order 288 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-3)^2 ] Genus 57 N57.1 : Type {3,12}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * S^-1, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N57.2 : Type {3,12}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * T * S^-1, S^2 * T * R * S^-2 * R * S^-3 * R * S^6 * R^-1 * S ] N57.3 : Type {4,6}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] N57.4 : Type {6,6}_5 Order 660 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R^-2 * S)^3, (S * R^-1 * S)^3, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N57.5 : Type {6,58}_87 Order 348 mV = 29 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-15 * R^3 * S^2 * T * S^-12 ] N57.6 : Type {10,30}_15 Order 300 mV = 15 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-8 * R^-3 * S^2 * T * S^-1 * R^-1 * S * R * S^-3 ] Genus 58 N58.1 : Type {3,18}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^4 * R^-1 * S)^2, S^-1 * T * R^-1 * S^2 * R * S^-2 * R^-1 * S^5 * R^-1 * S^-2 ] N58.2 : Type {3,18}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^-1 * R^-1 * S^2 * R * S^-5 * R * S^-4 * R * T * S^-1 * R * S^-2 ] N58.3 : Type {4,18}_18 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^18 ] N58.4 : Type {4,60}_60 Order 480 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^60 ] N58.5 : Type {4,60}_60 Order 480 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^15 * R^2 * S * R^-1 * S^-3 * T * S^11 ] N58.6 : Type {6,6}_8 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 ] N58.7 : Type {8,12}_3 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1 * R * S^-1 * R)^2 ] N58.8 : Type {8,12}_6 Order 384 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R * S^-1 * R^-2 * S^3 * T ] N58.9 : Type {8,12}_12 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N58.10 : Type {8,12}_12 Order 384 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-2 * R^4 * S^-4, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 59 No non-orientable regular maps of genus 59 Genus 60 No non-orientable regular maps of genus 60 Genus 61 N61.1 : Type {4,63}_63 Order 504 mV = 21 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-63 ] N61.2 : Type {6,62}_93 Order 372 mV = 31 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-16 * R^-2 * S^-3 * T * S * R * S^-11 ] N61.3 : Type {14,22}_77 Order 308 mV = 11 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * T * S^-2 * R^-7 * S^6 ] Genus 62 N62.1 : Type {4,6}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * T * S * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 ] N62.2 : Type {5,10}_15 Order 600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^10, R * S^-2 * R * S^-1 * R^2 * S^4 * T ] N62.3 : Type {6,6}_5 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * T * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1 ] N62.4 : Type {6,6}_6 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T ] N62.5 : Type {6,12}_12 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S * R^2 * S^-1 * R^3 * S^-4 * T ] N62.6 : Type {6,12}_12 Order 480 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N62.7 : Type {10,15}_3 Order 360 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R^-2 * S)^3, R^10 ] Genus 63 No non-orientable regular maps of genus 63 Genus 64 N64.1 : Type {4,66}_66 Order 528 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^66 ] N64.2 : Type {4,66}_33 Order 528 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-17 * R^2 * S^-1 * R * S^2 * T * S^-13 ] N64.3 : Type {7,9}_3 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, S^-9 ] N64.4 : Type {7,9}_7 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, S * R^-1 * S * R^3 * S * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N64.5 : Type {7,9}_7 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-7, S^-9, R^2 * S^-1 * R^-3 * S^4 * T ] Genus 65 N65.1 : Type {4,18}_4 Order 648 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * T * S * R^-1 * S ] N65.2 : Type {5,8}_8 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (S * R^-1 * S)^3, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T ] N65.3 : Type {5,8}_4 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S * R^-2 * S ] N65.4 : Type {6,66}_33 Order 396 mV = 33 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-17 * R^-2 * S^-3 * T * S * R * S^-12 ] N65.5 : Type {10,34}_85 Order 340 mV = 17 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-9 * R^-4 * S^-1 * T * R^-1 * S^-7 ] N65.6 : Type {18,18}_9 Order 324 mV = 9 mF = 9 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S * T * S^-3 * R^-6 * S^-1 * T * S^3 * T ] Genus 66 N66.1 : Type {4,20}_10 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * T * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] N66.2 : Type {4,20}_5 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N66.3 : Type {4,20}_20 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^20 ] N66.4 : Type {4,20}_20 Order 640 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-6 ] N66.5 : Type {5,6}_5 Order 960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 67 N67.1 : Type {4,69}_69 Order 552 mV = 23 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-69 ] Genus 68 N68.1 : Type {6,36}_9 Order 432 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * T * S * R * S^-2 * R^2 * S^-5 ] Genus 69 N69.1 : Type {6,70}_105 Order 420 mV = 35 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-18 * R^-2 * S^-3 * T * S * R * S^-13 ] Genus 70 N70.1 : Type {3,9}_17 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S * T * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^2 ] N70.2 : Type {4,72}_72 Order 576 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^72 ] N70.3 : Type {4,72}_72 Order 576 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^18 * R^2 * S * R^-1 * S^-3 * T * S^14 ] N70.4 : Type {6,20}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, R * S^-2 * R * S^-1 * R * S^-3 * T ] N70.5 : Type {6,20}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^2 * R^-2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N70.6 : Type {8,48}_48 Order 384 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-6 * R^2 * S^-4 * T * R^-1 * S^-2 ] N70.7 : Type {8,48}_48 Order 384 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-2 * T * S^4 * R^2 * S * R^-1 * S^-5 ] Genus 71 No non-orientable regular maps of genus 71 Genus 72 N72.1 : Type {6,8}_4 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2, S^-4 * R^-2 * S^2 * R^-2 * T ] N72.2 : Type {6,8}_4 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N72.3 : Type {6,8}_8 Order 672 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, (R * S^-2)^4, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-1 * T * S ] N72.4 : Type {6,8}_8 Order 672 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N72.5 : Type {6,8}_7 Order 672 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, R * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * T ] N72.6 : Type {6,8}_14 Order 672 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N72.7 : Type {6,8}_6 Order 672 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N72.8 : Type {6,8}_6 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, (R * S^-3 * R)^2, S^-1 * R * S^-3 * R * S^3 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] N72.9 : Type {9,9}_9 Order 504 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, R * S^-2 * R^3 * S^-3 * T, S^-9 ] Genus 73 N73.1 : Type {4,75}_75 Order 600 mV = 25 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-75 ] N73.2 : Type {6,74}_111 Order 444 mV = 37 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-19 * R^-2 * S^-3 * T * S * R * S^-14 ] N73.3 : Type {10,38}_95 Order 380 mV = 19 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-10 * R^-2 * S^-3 * T * S * R^3 * S^-5 ] N73.4 : Type {14,26}_91 Order 364 mV = 13 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^7 * R^-3 * S^-3 * T * S * R^4 * S^2 ] Genus 74 N74.1 : Type {3,10}_8 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (R * S^-2)^4, S^-2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * T * S^-2 ] N74.2 : Type {5,10}_5 Order 720 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 75 No non-orientable regular maps of genus 75 Genus 76 N76.1 : Type {4,78}_39 Order 624 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-20 * R^2 * S^-1 * R * S^2 * T * S^-16 ] N76.2 : Type {4,78}_78 Order 624 mV = 26 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^78 ] Genus 77 N77.1 : Type {4,10}_20 Order 1000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S ] N77.2 : Type {6,28}_28 Order 504 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-6 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-4 ] N77.3 : Type {6,78}_39 Order 468 mV = 39 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-20 * R^-2 * S^-3 * T * S * R * T * S^2 * T * S^-13 ] N77.4 : Type {10,10}_5 Order 500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^10, S^10, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T ] Genus 78 N78.1 : Type {10,12}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * T ] N78.2 : Type {10,12}_20 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] N78.3 : Type {10,12}_4 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T ] N78.4 : Type {10,12}_4 Order 480 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S^3 * T ] Genus 79 N79.1 : Type {4,81}_81 Order 648 mV = 27 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-81 ] N79.2 : Type {6,14}_3 Order 588 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^-2 * R * S^-1 * R^-2 * S^7 * R^-2 * S^-1 * R * S^-1 ] Genus 80 N80.1 : Type {12,18}_9 Order 432 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^5 ] Genus 81 N81.1 : Type {6,82}_123 Order 492 mV = 41 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-21 * R^-2 * S^-3 * T * S * R * S^-16 ] N81.2 : Type {10,42}_105 Order 420 mV = 21 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-11 * R^-2 * S^-3 * T * S * R^3 * S^-6 ] N81.3 : Type {18,22}_99 Order 396 mV = 11 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * T * R^3 * S * T * S^-3 * R^-4 * S^-3 * T * S * R^2 * S ] Genus 82 N82.1 : Type {4,9}_9 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-9, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N82.2 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-4 * T ] N82.3 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2)^4 ] N82.4 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^24 ] N82.5 : Type {4,24}_24 Order 768 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S, S^-1 * R^-1 * T * S^-2 * R^-1 * S^2 * R * S^-7 ] N82.6 : Type {4,84}_84 Order 672 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^84 ] N82.7 : Type {4,84}_84 Order 672 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^21 * R^2 * S * R^-1 * S^-3 * T * S^17 ] N82.8 : Type {6,8}_6 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, (S^-1 * R^2 * S^-1)^3 ] N82.9 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-3 * R^2 * S^4 * R^-1 ] N82.10 : Type {6,8}_12 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S^-1 * R^2 * S^-1 * R^3 * S^2 * R^-1 * S * T ] Genus 83 N83.1 : Type {4,6}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * T * S^-1, S * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S ] N83.2 : Type {6,6}_9 Order 972 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R ] N83.3 : Type {6,12}_12 Order 648 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N83.4 : Type {6,30}_15 Order 540 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-9 * R * S * R^-1 * S^-1 * T * R^-1 * S^-4 ] Genus 84 N84.1 : Type {6,44}_33 Order 528 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * T * S^-5 * R^-2 * S^-6 ] Genus 85 N85.1 : Type {4,87}_87 Order 696 mV = 29 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-87 ] N85.2 : Type {6,86}_129 Order 516 mV = 43 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-22 * R^3 * S^2 * T * S^-19 ] N85.3 : Type {14,30}_105 Order 420 mV = 15 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-8 * R^-3 * S^2 * T * S^-1 * R^-3 * S^3 * R * S^-1 ] Genus 86 N86.1 : Type {3,8}_21 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S * R * S^-1 * T * S * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] N86.2 : Type {3,20}_15 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-1 ] N86.3 : Type {4,6}_24 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T ] N86.4 : Type {4,8}_28 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1)^2 , S^-1 * R * S^-1 * T * R * S^-3 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-2 ] N86.5 : Type {4,8}_28 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^8 ] N86.6 : Type {4,8}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N86.7 : Type {4,8}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * T * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 ] N86.8 : Type {4,25}_25 Order 800 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-25 ] N86.9 : Type {6,10}_15 Order 720 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10, S * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^2 ] N86.10 : Type {6,10}_30 Order 720 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10, S^2 * R * S^-2 * R^-2 * S^3 * R^-1 * S^-1 * T * S ] N86.11 : Type {6,10}_12 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, (R * S^-3 * R)^2 ] N86.12 : Type {6,24}_3 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, (R^-1 * S^3 * R^-1 * S * R^-1 * S)^2 ] N86.13 : Type {8,8}_6 Order 672 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * S^-1 * R^-3 * S^2 * R^-2 * S * R^-2 * T ] N86.14 : Type {8,8}_3 Order 672 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, S^8 ] N86.15 : Type {8,8}_8 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S * R^-1 * S * T ] N86.16 : Type {10,20}_12 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-3 * R^2 * S * R^-1 * T, R^10 ] N86.17 : Type {10,20}_12 Order 480 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] Genus 87 No non-orientable regular maps of genus 87 Genus 88 N88.1 : Type {4,90}_90 Order 720 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^90 ] N88.2 : Type {4,90}_45 Order 720 mV = 30 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-23 * R^2 * S^-1 * R * S * T * S^-20 ] N88.3 : Type {8,60}_30 Order 480 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-8 * R^2 * S^-1 * R * S^2 * T * S^-4 ] N88.4 : Type {8,60}_15 Order 480 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-8 * R * S^4 * T * R * S * R^-1 * S^-2 ] Genus 89 N89.1 : Type {6,90}_45 Order 540 mV = 45 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-23 * R^3 * S^2 * T * S^-20 ] N89.2 : Type {10,46}_115 Order 460 mV = 23 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-12 * R^5 * S^6 * T * S^-5 ] Genus 90 N90.1 : Type {5,6}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N90.2 : Type {5,6}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R^2 * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * T ] N90.3 : Type {6,14}_14 Order 672 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-4 * R^-2 * S^-4 * R * S^2 ] N90.4 : Type {6,14}_7 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * T * S^-3 * R^3 * S^-1 * R^2 * S^2 ] N90.5 : Type {8,10}_5 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N90.6 : Type {8,10}_10 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T ] N90.7 : Type {8,10}_10 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T ] N90.8 : Type {8,10}_10 Order 640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N90.9 : Type {12,20}_10 Order 480 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * T ] N90.10 : Type {12,20}_5 Order 480 mV = 4 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 91 N91.1 : Type {4,93}_93 Order 744 mV = 31 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-93 ] Genus 92 N92.1 : Type {4,8}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N92.2 : Type {4,8}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S ] N92.3 : Type {4,8}_5 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N92.4 : Type {6,12}_15 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N92.5 : Type {8,8}_5 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 93 N93.1 : Type {3,12}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^12, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * T * S^-2 ] N93.2 : Type {3,12}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^12 ] N93.3 : Type {4,6}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T ] N93.4 : Type {6,94}_141 Order 564 mV = 47 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-24 * R^3 * S^2 * T * S^-21 ] Genus 94 N94.1 : Type {4,96}_96 Order 768 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^96 ] N94.2 : Type {4,96}_96 Order 768 mV = 32 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^24 * R^2 * S * R^-1 * S^-3 * T * S^20 ] N94.3 : Type {8,18}_9 Order 576 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-4 * R^2 * S^-3 * T ] Genus 95 No non-orientable regular maps of genus 95 Genus 96 N96.1 : Type {12,40}_15 Order 480 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S^2 * R^-2 * S^3 * T ] N96.2 : Type {12,40}_30 Order 480 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-2 * R^-4 * S^-2 * R * S * T ] Genus 97 N97.1 : Type {3,9}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T ] N97.2 : Type {3,9}_10 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (S^-1 * R * S^-1)^5, S^2 * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3 * R * S ] N97.3 : Type {4,99}_99 Order 792 mV = 33 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-99 ] N97.4 : Type {6,98}_147 Order 588 mV = 49 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-25 * R^-2 * S^-3 * T * S * R * S^-20 ] N97.5 : Type {10,12}_12 Order 600 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^10, S^12, S * T * R^2 * S^-1 * R^-3 * S * R^-1 * S^-2 * R * S ] N97.6 : Type {10,50}_25 Order 500 mV = 25 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-13 * R^-3 * S^2 * T * S^-2 * R^2 * S^-8 ] N97.7 : Type {14,34}_119 Order 476 mV = 17 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-9 * R^-2 * S^-3 * T * S * R^4 * T * S^-2 * T * R * S^-2 ] N97.8 : Type {18,26}_117 Order 468 mV = 13 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * T * S^2 * R^-5 * S^-3 * T * S * R^4 * T * S^-2 ] Genus 98 N98.1 : Type {4,7}_14 Order 1792 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N98.2 : Type {4,7}_7 Order 1792 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N98.3 : Type {4,12}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^12, S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N98.4 : Type {4,20}_24 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R^-1 * S * R * S^-3 * R^-1 * S * R^-1 * S^-3 * T ] N98.5 : Type {4,20}_24 Order 960 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^4 ] N98.6 : Type {5,5}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * T * R^-1 ] N98.7 : Type {6,6}_12 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T ] N98.8 : Type {6,7}_9 Order 1008 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7, R^-1 * S * R * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N98.9 : Type {6,7}_18 Order 1008 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-7, R * S^-1 * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N98.10 : Type {12,12}_3 Order 576 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^4, R^12 ] N98.11 : Type {20,20}_6 Order 480 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R * S^-1 * R^-4 * S^2 * R^-2 * T ] N98.12 : Type {20,20}_3 Order 480 mV = 4 mF = 4 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R^3)^2, (R * S^-4)^2 ] Genus 99 No non-orientable regular maps of genus 99 Genus 100 N100.1 : Type {4,102}_51 Order 816 mV = 34 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-26 * R^2 * S^-1 * R * S * T * S^-23 ] N100.2 : Type {4,102}_102 Order 816 mV = 34 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^102 ] N100.3 : Type {6,52}_39 Order 624 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^5 * R^-2 * S^6 * T * R * S^2 ] Genus 101 N101.1 : Type {4,10}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, S^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N101.2 : Type {4,10}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^10, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N101.3 : Type {4,22}_4 Order 968 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * T * S * R^-1 * S * R^-1 * S ] N101.4 : Type {6,36}_36 Order 648 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^9 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^5 ] N101.5 : Type {6,36}_36 Order 648 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-2 * R^3 * S^2 * R^-1 * S^-1 * T ] N101.6 : Type {6,36}_36 Order 648 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^2 * S^-1 * R^3 * S^4 * T ] N101.7 : Type {6,102}_51 Order 612 mV = 51 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-26 * R^3 * S^2 * T * S^-23 ] N101.8 : Type {8,10}_10 Order 720 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^8, R * S^-1 * R^4 * S * R^-2 * T, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N101.9 : Type {8,10}_3 Order 720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (S^-1 * R)^5 ] N101.10 : Type {9,12}_3 Order 648 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-9, (R * S^-2 * R * S^-1)^2 ] N101.11 : Type {9,12}_9 Order 648 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-9, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 * T ] N101.12 : Type {22,22}_11 Order 484 mV = 11 mF = 11 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S * R^-3 * S^-1 * T * S^3 * R^8 * S^6 ] Genus 102 N102.1 : Type {10,15}_5 Order 600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] Genus 103 N103.1 : Type {4,105}_105 Order 840 mV = 35 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-105 ] Genus 104 N104.1 : Type {8,14}_3 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1 * R)^4 ] N104.2 : Type {8,14}_6 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 ] N104.3 : Type {8,14}_4 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S^3 * T, (R * S^-2 * R * S^-1)^2 ] N104.4 : Type {8,14}_4 Order 672 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S^4 * T ] Genus 105 N105.1 : Type {6,106}_159 Order 636 mV = 53 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-27 * R^-2 * S^-3 * T * R^-1 * S^-23 ] N105.2 : Type {10,54}_135 Order 540 mV = 27 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-14 * R^4 * S^-1 * T * S^3 * R^-1 * S^-9 ] Genus 106 N106.1 : Type {3,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^14 ] N106.2 : Type {3,14}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N106.3 : Type {3,14}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^3, S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-2 * R * S, S * T * R * S^-4 * R * S^-2 * R^-1 * S^3 * R^-1 * S^4 ] N106.4 : Type {3,14}_13 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R * T * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-3 * R * S * T * S^-1 * R * S^-1 ] N106.5 : Type {3,14}_26 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-6)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N106.6 : Type {4,30}_30 Order 960 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^30 ] N106.7 : Type {4,30}_15 Order 960 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R^-1 * S * R * S^-6 * R^-2 * S^-6 * T * R^-1 * S^-2 ] N106.8 : Type {4,30}_30 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^30 ] N106.9 : Type {4,108}_108 Order 864 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^108 ] N106.10 : Type {4,108}_108 Order 864 mV = 36 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^27 * R^2 * S * R^-1 * S^-3 * T * S^23 ] N106.11 : Type {6,7}_13 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-7, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-2 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-2 * S^-2 ] N106.12 : Type {6,16}_3 Order 768 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^5 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^5 ] N106.13 : Type {8,20}_20 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^4 * R^-4 * S^6 ] N106.14 : Type {8,20}_20 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^4 * R^-4 * S^6 ] N106.15 : Type {8,20}_10 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N106.16 : Type {8,20}_5 Order 640 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N106.17 : Type {8,72}_72 Order 576 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^9 * R * S^-1 * R^2 * S^-3 * T * S^5 ] N106.18 : Type {8,72}_72 Order 576 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^10 * R^-1 * S^-1 * R * S * T * S^-3 * R * S^3 ] Genus 107 N107.1 : Type {4,11}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-11, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] Genus 108 No non-orientable regular maps of genus 108 Genus 109 N109.1 : Type {4,111}_111 Order 888 mV = 37 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-111 ] N109.2 : Type {6,110}_165 Order 660 mV = 55 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-28 * R^3 * S^6 * T * S^-21 ] N109.3 : Type {14,38}_133 Order 532 mV = 19 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-10 * R^-3 * S^2 * T * R * S^2 * R^2 * S^2 * R * S^-3 ] Genus 110 N110.1 : Type {4,10}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^10, S^2 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * T * S ] N110.2 : Type {4,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N110.3 : Type {4,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * T ] N110.4 : Type {6,30}_30 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-4)^2, S * R * S^-2 * R^3 * S^3 * R^-2 ] N110.5 : Type {6,30}_15 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * T ] N110.6 : Type {10,10}_4 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, R^10, S^10, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2, S^-1 * R * S^-5 * R^-1 * S * R^-3 * T ] N110.7 : Type {10,10}_8 Order 720 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^10, R^-2 * S * R^3 * S * R^-1 * S * T, (S^-1 * R)^5 ] Genus 111 No non-orientable regular maps of genus 111 Genus 112 N112.1 : Type {4,6}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] N112.2 : Type {4,6}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S ] N112.3 : Type {4,12}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^12, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T ] N112.4 : Type {4,12}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.5 : Type {4,114}_57 Order 912 mV = 38 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-29 * R^2 * S^-1 * R * S^2 * T * S^-25 ] N112.6 : Type {4,114}_114 Order 912 mV = 38 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^114 ] N112.7 : Type {6,6}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, S^-1 * R^2 * S^-2 * R^-2 * S * R^-1 * S * R^-2 * S^-1, R * T * S * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 ] N112.8 : Type {6,6}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S * R^-1 * S)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.9 : Type {6,6}_5 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N112.10 : Type {6,6}_10 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S^-1 * R)^5, R * T * S * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S^2 ] Genus 113 N113.1 : Type {6,114}_57 Order 684 mV = 57 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-29 * R^3 * S^6 * T * S^-22 ] N113.2 : Type {10,58}_145 Order 580 mV = 29 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-15 * R^5 * S^3 * T * S^-11 ] N113.3 : Type {18,30}_45 Order 540 mV = 15 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^8 * S^-4 * T * S^2 * R^-1 * S^-1 ] Genus 114 N114.1 : Type {4,12}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, S * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N114.2 : Type {4,12}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, (R * S^-5)^2, S^12, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N114.3 : Type {6,9}_7 Order 1008 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-9, S^-1 * T * S * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R ] N114.4 : Type {6,9}_14 Order 1008 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-9, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N114.5 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N114.6 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S * R * S^-2 * R^3 * S * R^-1 * S^-2 * T ] N114.7 : Type {8,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S * R * S^-1 * R^4 * S^2 * R^-3, R^3 * S^-1 * R^3 * S^5 ] N114.8 : Type {8,12}_6 Order 768 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R * S^-1 * R^4 * S^2 * R^-3, R^3 * S^-1 * R^3 * S^5 ] N114.9 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N114.10 : Type {8,12}_12 Order 768 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^12 ] Genus 115 N115.1 : Type {4,117}_117 Order 936 mV = 39 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-117 ] Genus 116 N116.1 : Type {3,10}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S * R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^3 ] N116.2 : Type {6,60}_15 Order 720 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-8 * R * S^5 * T * R * S * R^-1 * S^-1 ] N116.3 : Type {10,12}_6 Order 720 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T ] Genus 117 N117.1 : Type {6,118}_177 Order 708 mV = 59 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-30 * R^3 * S^6 * T * S^-23 ] Genus 118 N118.1 : Type {4,120}_120 Order 960 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^120 ] N118.2 : Type {4,120}_120 Order 960 mV = 40 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^30 * R^2 * S * R^-1 * S^-3 * T * S^26 ] Genus 119 N119.1 : Type {4,7}_6 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N119.2 : Type {4,7}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, (R * S^-3 * R * S^-2)^2, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 ] N119.3 : Type {4,7}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * T * S * R^-1 * S * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 ] N119.4 : Type {6,42}_21 Order 756 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-11 * R * S * R^-1 * S^-1 * R * T * S^-8 ] N119.5 : Type {7,7}_7 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, (S * R^-1 * S)^3, R * S^-1 * R^-1 * S * R^3 * S^-1 * R * S^-1 * R * S^-1 * R, R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N119.6 : Type {7,7}_7 Order 1092 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, S^-7, R^3 * S^-1 * R^3 * S * R^-2 * S * T ] N119.7 : Type {7,7}_7 Order 1092 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-7, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^2 * S * R^-2 * S^-1 ] Genus 120 No non-orientable regular maps of genus 120 Genus 121 N121.1 : Type {4,123}_123 Order 984 mV = 41 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-123 ] N121.2 : Type {6,122}_183 Order 732 mV = 61 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-31 * R^2 * S^-5 * R^-1 * S * T * S^-24 ] N121.3 : Type {8,14}_8 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-2 * R^3 * S^-3 * T ] N121.4 : Type {8,14}_8 Order 784 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S * R * S^-1 * R^4 * S^-1 * R * S * R^-2, R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-2 * T ] N121.5 : Type {10,62}_155 Order 620 mV = 31 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-16 * R^5 * S^3 * T * S^-12 ] N121.6 : Type {14,42}_21 Order 588 mV = 21 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-11 * R^-6 * S^-1 * T * S^5 * R * S^-4 ] N121.7 : Type {22,26}_143 Order 572 mV = 13 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * T * S^-3 * R^-11 * S^7 ] Genus 122 N122.1 : Type {4,6}_15 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S * R * S^-2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S, R^-1 * S * R * T * S * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 ] N122.2 : Type {4,6}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N122.3 : Type {4,6}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N122.4 : Type {6,6}_5 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N122.5 : Type {6,6}_10 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, (R * S^-1 * R)^4, (R * S^-2)^4, S * R * S^-2 * R^-3 * S^2 * R^-1 * S^-1 * R * T ] N122.6 : Type {6,8}_8 Order 1152 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^8, S * R * S^-2 * R * S^-3 * R^2 * S * R^-1 * S^3 * R^-1 * S^2 ] N122.7 : Type {6,8}_4 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, S^-1 * R * S^-2 * R^3 * S^2 * R^-1 * S * T ] N122.8 : Type {6,8}_8 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 123 No non-orientable regular maps of genus 123 Genus 124 N124.1 : Type {4,126}_126 Order 1008 mV = 42 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^126 ] N124.2 : Type {4,126}_63 Order 1008 mV = 42 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-32 * R^2 * S^-1 * R * S * T * S^-29 ] N124.3 : Type {8,84}_21 Order 672 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-11 * R^2 * S^-1 * R * S * T * S^-8 ] N124.4 : Type {8,84}_42 Order 672 mV = 28 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-12 * R * S * R^-1 * S^-1 * T * R^-1 * S^-7 ] Genus 125 N125.1 : Type {6,44}_44 Order 792 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^11 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^7 ] N125.2 : Type {6,126}_63 Order 756 mV = 63 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-32 * R^2 * S^-5 * R^-1 * S * T * S^-25 ] Genus 126 N126.1 : Type {4,35}_35 Order 1120 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-35 ] Genus 127 N127.1 : Type {4,129}_129 Order 1032 mV = 43 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-129 ] Genus 128 N128.1 : Type {4,18}_9 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * T ] N128.2 : Type {4,18}_18 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * T * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S * R^-1 ] Genus 129 N129.1 : Type {6,130}_195 Order 780 mV = 65 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-33 * R^2 * S^-5 * R^-1 * S * T * S^-26 ] N129.2 : Type {10,66}_165 Order 660 mV = 33 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-17 * R^-4 * S^-1 * T * R^-1 * S^-3 * T * S^2 * T * S^-10 ] N129.3 : Type {18,34}_153 Order 612 mV = 17 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^9 * R^-7 * S^-1 * T * S^5 * R * S^-1 * R^-1 * S ] Genus 130 N130.1 : Type {4,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^12 ] N130.2 : Type {4,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] N130.3 : Type {4,36}_36 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^36 ] N130.4 : Type {4,36}_36 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^-8 * R^-1 * S * R^-1 * S^-2 * R * S^2 * T * S^-5 ] N130.5 : Type {4,132}_132 Order 1056 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^132 ] N130.6 : Type {4,132}_132 Order 1056 mV = 44 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^33 * R^2 * S * R^-1 * S^-3 * T * S^29 ] N130.7 : Type {5,6}_10 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-2)^4, R * S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R^2 * S^-1 * R * S^-2 * R^-1 * S^2 * R^-2 * S^-1 * T * S ] N130.8 : Type {5,6}_5 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4 ] N130.9 : Type {5,6}_8 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^3 * R^-1 * S^2 * R^-1 * T ] N130.10 : Type {6,35}_35 Order 840 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S * R^-2 * S * R^-2 * S^5, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N130.11 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S * R * S^-2 * R^3 * S * R^-1 * S^-2 * T ] N130.12 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N130.13 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, (R * S^-6 * R)^2 ] N130.14 : Type {8,24}_24 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^4 * T * S^-2 ] Genus 131 No non-orientable regular maps of genus 131 Genus 132 N132.1 : Type {4,30}_5 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6, (R * S^-5)^2 ] N132.2 : Type {6,68}_51 Order 816 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-9 * R^2 * S^-2 * R * S * T * S^-5 ] Genus 133 N133.1 : Type {4,135}_135 Order 1080 mV = 45 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-135 ] N133.2 : Type {6,134}_201 Order 804 mV = 67 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-34 * R^3 * S^6 * T * S^-27 ] N133.3 : Type {14,46}_161 Order 644 mV = 23 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-12 * R^-6 * S^-6 * T * R * S^-5 ] Genus 134 N134.1 : Type {3,10}_33 Order 3960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^2 * R^-1 * S^3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S, S^-3 * R * S^-4 * R * S^5 * R^-1 * T * S^-1 ] N134.2 : Type {3,17}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-1, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N134.3 : Type {5,10}_11 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^10, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N134.4 : Type {5,10}_12 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, S^10, S^-4 * R^-2 * S * R^-2 * S * T ] N134.5 : Type {5,10}_10 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N134.6 : Type {5,10}_5 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N134.7 : Type {6,14}_9 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, R^-1 * S * R * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N134.8 : Type {6,14}_18 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, R * S^-1 * T * S * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S^-2 ] N134.9 : Type {8,10}_24 Order 960 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^10, S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * T ] N134.10 : Type {8,10}_24 Order 960 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^10, S^3 * R * S^-1 * R^2 * S^-3 * R * T ] N134.11 : Type {10,30}_6 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 , (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N134.12 : Type {10,30}_3 Order 720 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^10, (R * S^-4)^2 ] Genus 135 No non-orientable regular maps of genus 135 Genus 136 N136.1 : Type {4,138}_69 Order 1104 mV = 46 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-35 * R^2 * S^-1 * R * S^2 * T * S^-31 ] N136.2 : Type {4,138}_138 Order 1104 mV = 46 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^138 ] N136.3 : Type {12,56}_42 Order 672 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^2 * R * S^-1 * R^-2 * S^-4 * T ] N136.4 : Type {12,56}_21 Order 672 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-4 * R^4 * S^-1 * R * S^2 * T ] Genus 137 N137.1 : Type {4,8}_15 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S^2 * R * S^-2 * R * S^-2 * R * S^2 * R^-1 * S^2 * R^-1 ] N137.2 : Type {4,9}_9 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N137.3 : Type {6,8}_8 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, R^-1 * T * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1 ] N137.4 : Type {6,18}_9 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^3 * R * S^-2 * R * S^3 * R^-1 * S^-1 * T ] N137.5 : Type {6,18}_9 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^3 * R * S^-2 * R * S^3 * R^-1 * S^-1 * T ] N137.6 : Type {6,18}_9 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3 * R)^2, R * S^-2 * R^-3 * S^2 * R^-1 * S * T ] N137.7 : Type {6,18}_3 Order 972 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^-3 * R * S^-1 * R^-2 * S^8 * R^-2 * S^-1 * R * S^-3 ] N137.8 : Type {6,18}_9 Order 972 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1)^6, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N137.9 : Type {6,30}_3 Order 900 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^10 ] N137.10 : Type {6,138}_69 Order 828 mV = 69 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-35 * R^3 * S^6 * T * S^-28 ] N137.11 : Type {10,70}_35 Order 700 mV = 35 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-18 * R^4 * S^-2 * T * S * R * S^-1 * T * S^2 * T * S^-11 ] Genus 138 No non-orientable regular maps of genus 138 Genus 139 N139.1 : Type {4,141}_141 Order 1128 mV = 47 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-141 ] Genus 140 N140.1 : Type {12,30}_15 Order 720 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-8 * R^3 * S^3 * T * S^-1 * R * S^2 * R^-1 * S^-1 ] Genus 141 N141.1 : Type {6,142}_213 Order 852 mV = 71 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-36 * R^3 * S^6 * T * S^-29 ] N141.2 : Type {22,30}_165 Order 660 mV = 15 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^9 * S * T * S^-3 * R^-2 * S^-3 ] Genus 142 N142.1 : Type {3,26}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N142.2 : Type {3,26}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] N142.3 : Type {4,144}_144 Order 1152 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^144 ] N142.4 : Type {4,144}_144 Order 1152 mV = 48 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^36 * R^2 * S * R^-1 * S^-3 * T * S^32 ] N142.5 : Type {6,8}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, S * T * R * S^-4 * R^2 * S^2 * R^-1 * S^-1 * R * S^2 ] N142.6 : Type {6,8}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R * S^-1 * R^3 * S^2 * R^-2, (R * S^-2)^4, S * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^2 ] N142.7 : Type {6,8}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-3 * R * S^-1)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * T ] N142.8 : Type {6,8}_12 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] N142.9 : Type {6,10}_10 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N142.10 : Type {6,10}_5 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] N142.11 : Type {6,13}_7 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S * R^-1 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N142.12 : Type {6,18}_7 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^3 * S^-5, S^-1 * T * S * R * S^-1 * R^-2 * S^-2 * R * S^-2 * R ] N142.13 : Type {6,18}_14 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^-4 * R^3 * S^-5, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N142.14 : Type {6,24}_24 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N142.15 : Type {6,24}_24 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, S * R^2 * S^-1 * R^3 * S^-4 * T, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N142.16 : Type {6,24}_24 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, (R * S^-5)^2 ] N142.17 : Type {6,24}_24 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, (R * S^-5)^2, R * T * S * R * S^-2 * R^-2 * S * R^-1 * S^4 ] N142.18 : Type {8,96}_96 Order 768 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 * R * S^-1 * R^2 * S^-3 * T * S^8 ] N142.19 : Type {8,96}_96 Order 768 mV = 32 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^12 * R^-1 * S^-4 * T * R^-1 * S^-1 * R * S^7 ] Genus 143 No non-orientable regular maps of genus 143 Genus 144 N144.1 : Type {18,20}_45 Order 720 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * S * R * S^-1 * R^-4 * S^-1 * R^3 * S * T * S^-1 ] Genus 145 N145.1 : Type {4,26}_4 Order 1352 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-4 * T * S * R^-1 * S^4 * R^-1 * S^-1 ] N145.2 : Type {4,147}_147 Order 1176 mV = 49 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-147 ] N145.3 : Type {5,12}_10 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N145.4 : Type {5,12}_5 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (S * R^-1 * S)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N145.5 : Type {5,12}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^2 * S^4 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N145.6 : Type {5,12}_4 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, R^-1 * T * S^-1 * R^-2 * S * R^-2 * S^3 * R^-2 * S ] N145.7 : Type {6,146}_219 Order 876 mV = 73 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-37 * R^3 * S^6 * T * S^-30 ] N145.8 : Type {10,74}_185 Order 740 mV = 37 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-19 * R^-4 * S^-1 * T * R^-1 * S^-3 * T * S^2 * T * S^-12 ] N145.9 : Type {14,50}_175 Order 700 mV = 25 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-13 * R^-6 * S^-1 * T * S^4 * R^-1 * S^-7 ] N145.10 : Type {18,38}_171 Order 684 mV = 19 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-10 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 ] N145.11 : Type {26,26}_13 Order 676 mV = 13 mF = 13 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^3 * T * S^-1 * R^-11 * S^2 * T * S^-2 * T * S^3 ] Genus 146 N146.1 : Type {3,14}_9 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^2 * R^-1 * S^3 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] N146.2 : Type {4,6}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N146.3 : Type {4,40}_40 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^40 ] N146.4 : Type {4,40}_40 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 * R^2 * S^2 * R^-1 * S^-1 * R * S * T * S^-2 * R * S^4 ] N146.5 : Type {4,40}_40 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S * R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S^3 * R^-1 * S^-1 * T * S ] N146.6 : Type {4,40}_40 Order 1280 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^-1, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^-3 * R * S * T * S^-1 ] N146.7 : Type {5,6}_6 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^6, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, (R * S^-2)^4, S^2 * R^2 * S^-2 * R * S^-1 * R * S^-2 * R^2 * S^-1 * T ] N146.8 : Type {6,6}_6 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N146.9 : Type {6,21}_21 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, S^-4 * R^-2 * S^2 * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T ] N146.10 : Type {7,14}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N146.11 : Type {7,14}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T ] N146.12 : Type {7,14}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (S * R^-1 * S)^3, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N146.13 : Type {7,14}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (S * R^-1 * S)^3, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-3 * R)^2 ] N146.14 : Type {12,12}_12 Order 864 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 147 N147.1 : Type {3,7}_15 Order 12180 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^-7, S * R^-1 * S^2 * T * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S ] Genus 148 N148.1 : Type {4,150}_75 Order 1200 mV = 50 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-38 * R^2 * S^-1 * R * S^2 * T * S^-34 ] N148.2 : Type {4,150}_150 Order 1200 mV = 50 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^150 ] N148.3 : Type {6,76}_57 Order 912 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-10 * R * S^5 * T * R * S * R^-1 * S^-3 ] Genus 149 N149.1 : Type {6,52}_52 Order 936 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^13 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^9 ] N149.2 : Type {6,150}_75 Order 900 mV = 75 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-38 * R^3 * S^6 * T * S^-31 ] N149.3 : Type {8,12}_21 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * T * S^-1 * R^-4 * S^-1 * R^3 * S * R^-1 ] Genus 150 N150.1 : Type {6,40}_40 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N150.2 : Type {6,40}_40 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R * S^-1 * R * S^-3 * T ] N150.3 : Type {6,40}_15 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-2 * R * S^-1 * R^-2 * S^4 * T ] N150.4 : Type {8,15}_15 Order 960 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-15 ] N150.5 : Type {8,15}_30 Order 960 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-15 ] N150.6 : Type {10,21}_35 Order 840 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S * T * S^-4 * R^-1 * S * R^-2 * S * R^-2, S^-1 * R^-1 * S * R^-4 * S^-1 * R^3 * S * T * R ] Genus 151 N151.1 : Type {4,153}_153 Order 1224 mV = 51 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-153 ] Genus 152 N152.1 : Type {6,8}_4 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^8, (R * S^-2)^4, R^-1 * T * S^-1 * R^2 * S^-1 * R^-3 * S * R^-2 * S * R^-1, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^-3 * R^2 * S^-1 ] N152.2 : Type {6,8}_30 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, R^2 * S^-1 * R^-3 * S * R^-2 * S * T ] N152.3 : Type {6,8}_15 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, S^8, S^-1 * R^2 * S^-1 * R^-3 * S^-2 * R * S * R^-1 * T ] N152.4 : Type {6,8}_10 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T ] N152.5 : Type {6,8}_10 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^8, S * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * T * R * S^2 ] Genus 153 N153.1 : Type {6,154}_231 Order 924 mV = 77 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-39 * R^3 * S^6 * T * S^-32 ] N153.2 : Type {10,78}_195 Order 780 mV = 39 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-20 * R^3 * S^3 * T * S^-1 * R^-2 * T * S^2 * T * S^-13 ] Genus 154 N154.1 : Type {4,42}_42 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^42 ] N154.2 : Type {4,156}_156 Order 1248 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^156 ] N154.3 : Type {4,156}_156 Order 1248 mV = 52 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^39 * R^2 * S * R^-1 * S^-3 * T * S^35 ] N154.4 : Type {7,18}_6 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-5 * R^2 * S * R^-1 * S^2 * T ] N154.5 : Type {7,18}_3 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] N154.6 : Type {7,18}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N154.7 : Type {7,18}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, S * T * S^-1 * R^-1 * S * R^-1 * S^6 * R^-1 ] N154.8 : Type {7,18}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^4 * T ] N154.9 : Type {7,18}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R^2 * S^-1 * R^-3 * S^4 * T ] N154.10 : Type {10,12}_15 Order 960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^10, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N154.11 : Type {16,24}_6 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-6 * S * R^-1 * S^-2 * T ] N154.12 : Type {16,24}_3 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4 ] N154.13 : Type {16,24}_12 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * T * S * R^4 * S * R^-3 * S^-1 * R ] N154.14 : Type {16,24}_12 Order 768 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^3 * T, (R * S^-1 * R * S^-1 * R)^2 ] Genus 155 N155.1 : Type {6,20}_60 Order 1080 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * T ] N155.2 : Type {6,54}_27 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-14 * R * S * R^-1 * S^-1 * R * S * T * S^-10 ] N155.3 : Type {6,54}_27 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, S^3 * R * S^-1 * R^-2 * S^-5 * T ] N155.4 : Type {6,54}_27 Order 972 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, (R * S^-1)^6, R^-1 * S^4 * R^-2 * S^5 * T ] N155.5 : Type {7,13}_3 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R)^7 ] N155.6 : Type {7,13}_13 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-7, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 ] N155.7 : Type {7,13}_6 Order 1092 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-7, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * T * S * R^3 * S^-6 * R ] Genus 156 N156.1 : Type {6,10}_10 Order 1320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^10, R^-1 * S * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-4 ] N156.2 : Type {6,10}_4 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (S * R^-1 * S)^3, S^10, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^3 * S^-2 * R * S * T ] N156.3 : Type {6,10}_6 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^5, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S * R^2 * S^-1 * R^-2 * S^2 * R^-2 * S^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R ] N156.4 : Type {6,10}_6 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (S^-1 * R)^5, (R * S^-4)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N156.5 : Type {6,10}_6 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-2 * R^2, R * T * S * R * S^-3 * R^-3 * S^-1 * R^2 * S^-1 ] N156.6 : Type {6,10}_6 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-2 * R^2 ] Genus 157 N157.1 : Type {4,159}_159 Order 1272 mV = 53 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-159 ] N157.2 : Type {6,158}_237 Order 948 mV = 79 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-40 * R^3 * S^6 * T * S^-33 ] N157.3 : Type {10,18}_9 Order 900 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, R^-1 * S * R^4 * S * R^-1 * S^2, R * T * S * R * S^-6 * R * S^2 ] N157.4 : Type {14,54}_189 Order 756 mV = 27 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-14 * R^3 * S^3 * T * S^-1 * R^-2 * S^-2 * R^-2 * S^-7 ] Genus 158 N158.1 : Type {9,10}_45 Order 1080 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-9, S^10, S^2 * R * S^-2 * R^-2 * S^3 * R^-1 * S^-1 * T * S ] N158.2 : Type {10,35}_21 Order 840 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-1 * S^3 * R^-2 * S^4 * T, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] Genus 159 No non-orientable regular maps of genus 159 Genus 160 N160.1 : Type {4,162}_81 Order 1296 mV = 54 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-41 * R^2 * S^-1 * R * S^2 * T * S^-37 ] N160.2 : Type {4,162}_162 Order 1296 mV = 54 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^162 ] N160.3 : Type {8,108}_54 Order 864 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-14 * R^2 * S^-1 * R * S^3 * T * S^-9 ] N160.4 : Type {8,108}_27 Order 864 mV = 36 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-14 * R * S * R^-1 * S^-1 * R * S * T * S^-10 ] Genus 161 N161.1 : Type {6,162}_81 Order 972 mV = 81 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-41 * R^3 * S^6 * T * S^-34 ] N161.2 : Type {10,82}_205 Order 820 mV = 41 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-21 * R^5 * S * T * S^-3 * T * S^2 * T * S^-14 ] N161.3 : Type {18,42}_63 Order 756 mV = 21 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-11 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-2 ] N161.4 : Type {22,34}_187 Order 748 mV = 17 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^9 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S ] Genus 162 N162.1 : Type {4,6}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, (R * S^-1)^6, R^-1 * S * T * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2, R * S^-1 * T * S * R * S^-2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 ] N162.2 : Type {4,9}_18 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] N162.3 : Type {4,9}_9 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-9, (R * S^-2)^4, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1, S^2 * R * S^-1 * R * S^-2 * R^-2 * S^-3 * R * S^-2 * T ] N162.4 : Type {4,12}_5 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6, S^12, S^2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-1 * T * S ] N162.5 : Type {4,14}_7 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N162.6 : Type {4,14}_14 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * R^-1 * S, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N162.7 : Type {4,14}_7 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N162.8 : Type {4,14}_14 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^14, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R * S^-1 ] N162.9 : Type {6,6}_6 Order 1920 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (S^-1 * R)^5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R^-2 * S * R^-1 * S^-2 * R^2 * S * R^-1, S^-1 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * R^-1 * T ] N162.10 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N162.11 : Type {6,8}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^8, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * T * S * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-2 ] N162.12 : Type {9,14}_6 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T ] N162.13 : Type {9,14}_3 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-9, (R * S^-4 * R)^2 ] N162.14 : Type {9,14}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-9, S * R^-1 * S * R^-3 * S * R^-1 * S^3, S^-3 * R * S^-2 * R * S^3 * R^-1 * T ] N162.15 : Type {9,14}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-9, R^-2 * S * R^3 * S * R^-1 * S * T ] N162.16 : Type {9,14}_14 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, R * S^-1 * R * S^-2 * R^-1 * S^5, R * S^-2 * R^4 * S^4 * T ] N162.17 : Type {9,14}_7 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T ] Genus 163 N163.1 : Type {4,165}_165 Order 1320 mV = 55 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-165 ] Genus 164 N164.1 : Type {4,10}_10 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^10 ] N164.2 : Type {6,12}_9 Order 1296 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^12, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N164.3 : Type {6,12}_9 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^12, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N164.4 : Type {6,12}_9 Order 1296 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N164.5 : Type {6,12}_18 Order 1296 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^12, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2, R * T * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^2 ] N164.6 : Type {6,12}_6 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] N164.7 : Type {6,84}_21 Order 1008 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-11 * R^2 * S^-2 * R * S * T * S^-7 ] N164.8 : Type {12,24}_6 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N164.9 : Type {12,24}_3 Order 864 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] Genus 165 N165.1 : Type {6,166}_249 Order 996 mV = 83 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-42 * R^3 * S^6 * T * S^-35 ] Genus 166 N166.1 : Type {4,45}_45 Order 1440 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-45 ] N166.2 : Type {4,168}_168 Order 1344 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^168 ] N166.3 : Type {4,168}_168 Order 1344 mV = 56 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^42 * R^2 * S * R^-1 * S^-3 * T * S^38 ] N166.4 : Type {8,30}_15 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-8 * R^-4 * S^-7 ] N166.5 : Type {8,30}_30 Order 960 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-3 * R^-1 * S^5 * R^-3 * S^-7 ] N166.6 : Type {8,30}_15 Order 960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^8 * R^2 * S * R^-1 * S^-3 * T * S^3 ] Genus 167 N167.1 : Type {4,5}_55 Order 6600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N167.2 : Type {6,12}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N167.3 : Type {6,12}_11 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R * S^-2 * R^-3 * S^2 * R^-1 * S^2 * T ] N167.4 : Type {8,21}_3 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, (R * S^-1)^6, S^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 ] N167.5 : Type {8,21}_12 Order 1008 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R^-2 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S^-3 ] Genus 168 No non-orientable regular maps of genus 168 Genus 169 N169.1 : Type {4,171}_171 Order 1368 mV = 57 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-171 ] N169.2 : Type {6,170}_255 Order 1020 mV = 85 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-43 * R^3 * S^6 * T * S^-36 ] N169.3 : Type {10,86}_215 Order 860 mV = 43 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-22 * R^5 * S * T * S^-3 * T * S^2 * T * S^-15 ] N169.4 : Type {14,58}_203 Order 812 mV = 29 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-15 * R^-6 * S^-5 * T * R^-1 * S^-9 ] N169.5 : Type {26,30}_195 Order 780 mV = 15 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R^13 * S * T * S^-6 ] Genus 170 N170.1 : Type {3,10}_12 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^10, (S * R^-1 * S)^6, (S^2 * R^-1 * S^2)^4, S^-1 * R^-1 * S^2 * T * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] N170.2 : Type {3,18}_21 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S * R * S^-2 * R^-1 * S^5 * R^-1 * S^5 * R^-1 * T * S^2 ] N170.3 : Type {4,8}_24 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-3 * R * S^-3 * R * S^4 * R^-1 * T ] N170.4 : Type {4,8}_24 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-3 * R^-1 * S^2 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * R ] N170.5 : Type {5,8}_6 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 * T ] N170.6 : Type {5,8}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (S^-1 * R^2 * S^-1)^3, S * T * S^-1 * R^-1 * S^2 * R^2 * S^-3 * R^2 * S ] N170.7 : Type {6,6}_24 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T ] N170.8 : Type {6,10}_6 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4, S^-2 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * T ] N170.9 : Type {6,10}_6 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^10, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, (R * S^-1 * R)^4, R^-1 * T * S^-1 * R^2 * S^-1 * R^-2 * S^2 * R^-1 * S^-3 ] N170.10 : Type {6,10}_8 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10, (R * S^-2)^4, S * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * T * R * S^2 ] N170.11 : Type {6,10}_8 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R)^2, S^10, (R * S^-2)^4, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T ] N170.12 : Type {6,12}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12, S^2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * S^2 ] N170.13 : Type {6,12}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * T * S^2 * R^-1 * S * R^-3 * S^-1 * R * S^-2 * R ] N170.14 : Type {6,45}_45 Order 1080 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^2 ] N170.15 : Type {8,8}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-3 * R)^2, S^-1 * R * S^-3 * R * S^3 * T, (R * S^-1 * R * S^-1 * R^2)^2 ] N170.16 : Type {8,8}_8 Order 1344 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-3 * R)^2 ] N170.17 : Type {8,12}_4 Order 1152 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, S^12 ] N170.18 : Type {9,18}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-3, R^3 * S^-1 * R^3 * S * R^-1 * S^-2 * T ] N170.19 : Type {9,18}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, R * S^-2 * R^3 * S^-3 * T ] N170.20 : Type {9,18}_18 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T ] N170.21 : Type {9,18}_9 Order 1008 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-9, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T ] Genus 171 No non-orientable regular maps of genus 171 Genus 172 N172.1 : Type {4,9}_17 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S^-9 ] N172.2 : Type {4,174}_87 Order 1392 mV = 58 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-44 * R^2 * S^-1 * R * S^2 * T * S^-40 ] N172.3 : Type {4,174}_174 Order 1392 mV = 58 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^174 ] N172.4 : Type {6,20}_3 Order 1200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, S^20 ] N172.5 : Type {6,20}_5 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1 ] Genus 173 N173.1 : Type {4,5}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * T * S * R^-1 * S^-1 * R ] N173.2 : Type {4,5}_9 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-5, S^-1 * R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] N173.3 : Type {5,5}_9 Order 3420 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^-5, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1 * T ] N173.4 : Type {6,60}_60 Order 1080 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^15 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^11 ] N173.5 : Type {6,60}_20 Order 1080 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S * T * S^-2 * R^2 * S^-1 * R^3 * S^6 ] N173.6 : Type {6,60}_60 Order 1080 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-2 * R^3 * S^5 * T ] N173.7 : Type {6,174}_87 Order 1044 mV = 87 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-44 * R^3 * S^6 * T * S^-37 ] Genus 174 N174.1 : Type {10,24}_40 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, R^-1 * S * R^3 * S^-1 * R^-4 * S * R^-1 * S^-1 * T, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-5 * T ] N174.2 : Type {10,24}_40 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^10, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T ] N174.3 : Type {10,24}_8 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, (R * S^-4 * R)^2 ] N174.4 : Type {10,24}_8 Order 960 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^10, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T ] Genus 175 N175.1 : Type {4,177}_177 Order 1416 mV = 59 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-177 ] Genus 176 N176.1 : Type {12,72}_18 Order 864 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S * T * S^-4 * R^2 * S^-2 * R * S^2 ] N176.2 : Type {12,72}_9 Order 864 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S * T * S^-1 ] Genus 177 N177.1 : Type {3,20}_15 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^-3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-1 ] N177.2 : Type {6,10}_15 Order 1500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^10, R * S^-1 * R^2 * S^-2 * R^2 * S^-2 * R * S^-1 * R * S * T ] N177.3 : Type {6,10}_15 Order 1500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^10, S^-2 * T * R^-1 * S * R^-2 * S^2 * R^-1 * S^-3 * R^2 * S^-1 * R ] N177.4 : Type {6,178}_267 Order 1068 mV = 89 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-45 * R^3 * S^6 * T * S^-38 ] N177.5 : Type {10,20}_20 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, R^10, R^3 * S^-1 * R^3 * S^-1 * R * S^2 * T ] N177.6 : Type {10,20}_4 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^10, R^3 * S^-1 * R^3 * S^2 * R^-1 * S * T ] N177.7 : Type {10,20}_20 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S * T ] N177.8 : Type {10,20}_20 Order 1000 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^10, R * S^-1 * R^5 * S * R^-3 * T ] N177.9 : Type {10,20}_20 Order 1000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^10, S * R * T * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 ] N177.10 : Type {10,90}_45 Order 900 mV = 45 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-23 * R^5 * S * T * S^-3 * T * S^2 * T * S^-16 ] N177.11 : Type {18,46}_207 Order 828 mV = 23 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-12 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-3 ] Genus 178 N178.1 : Type {4,15}_15 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^3 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S^-2 * T, S^-15 ] N178.2 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^48 ] N178.3 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^12 * R * S^-1 * R * S^2 * R^-1 * T * S^9 ] N178.4 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-6 * T ] N178.5 : Type {4,48}_48 Order 1536 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^-3 * R, S^-1 * T * S^2 * R * S^-3 * R^-2 * S^-4 * R * S * R^-1 * S^-1 ] N178.6 : Type {4,180}_180 Order 1440 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^180 ] N178.7 : Type {4,180}_180 Order 1440 mV = 60 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^45 * R^2 * S * R^-1 * S^-3 * T * S^41 ] N178.8 : Type {8,120}_120 Order 960 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^15 * R * S^-1 * R^2 * S^-3 * T * S^11 ] N178.9 : Type {8,120}_120 Order 960 mV = 40 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^15 * R^2 * S^4 * T * R * S^11 ] Genus 179 No non-orientable regular maps of genus 179 Genus 180 N180.1 : Type {6,92}_69 Order 1104 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-12 * R * S^5 * T * R * S * R^-1 * S^-5 ] Genus 181 N181.1 : Type {4,183}_183 Order 1464 mV = 61 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-183 ] N181.2 : Type {6,182}_273 Order 1092 mV = 91 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-46 * R^3 * S^6 * T * S^-39 ] N181.3 : Type {14,62}_217 Order 868 mV = 31 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-16 * R^-6 * S^-5 * T * R^-1 * S^-10 ] N181.4 : Type {22,38}_209 Order 836 mV = 19 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-10 * R^9 * S * T * S^-6 * R * S * R^-1 * S^-1 ] Genus 182 N182.1 : Type {4,6}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^2 ] N182.2 : Type {4,8}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * T * S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] N182.3 : Type {4,8}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, S * T * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N182.4 : Type {4,8}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, (R * S^-2 * R * S^-1 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N182.5 : Type {4,8}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^8, R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S ] N182.6 : Type {6,6}_5 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1 * R)^4, R * S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-2 ] N182.7 : Type {6,12}_12 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^12 ] N182.8 : Type {6,12}_12 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, (R * S^-2)^4 ] N182.9 : Type {6,30}_30 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^2 ] N182.10 : Type {8,8}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-3 * R)^2, S^-1 * R * S^-3 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S ] N182.11 : Type {8,8}_10 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2, S^2 * R * S^-1 * R^-3 * S * R^-1 * S^-1 * R * S^-1 * T ] N182.12 : Type {8,8}_5 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^8, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-3 * R^2)^2 ] N182.13 : Type {10,10}_30 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^10, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T ] N182.14 : Type {10,10}_15 Order 1200 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^10, R^-2 * S * R^-4 * S^2 * R^-1 * S^-2 * T ] N182.15 : Type {10,40}_24 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-2 * S * R^4 * S^2 * R^-1 * S^-1 * T ] N182.16 : Type {10,40}_24 Order 960 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-3 * R^-1 * S * R^2 * S^4 * T ] N182.17 : Type {14,14}_9 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, R^-1 * S * R^5 * S * R^-2 * S * R^-1 ] N182.18 : Type {14,14}_18 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * S * R^5 * S * R^-2 * S * R^-1 ] Genus 183 No non-orientable regular maps of genus 183 Genus 184 N184.1 : Type {4,6}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] N184.2 : Type {4,6}_7 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^6, S^-1 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] N184.3 : Type {4,12}_13 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-2 * R * S^-1)^3, S^12, (S^-1 * R)^7, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^-1 * T * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-3 ] N184.4 : Type {4,12}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, (S^-1 * R)^7 ] N184.5 : Type {4,186}_93 Order 1488 mV = 62 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-47 * R^2 * S^-1 * R * S^3 * T * S^-42 ] N184.6 : Type {4,186}_186 Order 1488 mV = 62 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^186 ] N184.7 : Type {6,16}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T ] N184.8 : Type {6,16}_8 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S * R^-2 * S * T, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1 ] Genus 185 N185.1 : Type {6,186}_93 Order 1116 mV = 93 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-47 * R^3 * S^6 * T * S^-40 ] N185.2 : Type {10,94}_235 Order 940 mV = 47 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-24 * R^5 * S * T * S^-3 * T * S^2 * T * S^-17 ] Genus 186 N186.1 : Type {4,50}_50 Order 1600 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^50 ] N186.2 : Type {4,50}_25 Order 1600 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-13 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S * R^-1 * S^-7 ] N186.3 : Type {8,18}_18 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^18 ] N186.4 : Type {8,18}_18 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^18 ] Genus 187 N187.1 : Type {4,189}_189 Order 1512 mV = 63 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-189 ] Genus 188 N188.1 : Type {24,36}_9 Order 864 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S * T * S^-1 * R^-1 * S^4 * R^-2 * S^3 ] N188.2 : Type {24,36}_18 Order 864 mV = 6 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^-1 * T * S^-1 * R^-1 * S^6 * R^-1 * S^-2 ] Genus 189 N189.1 : Type {6,190}_285 Order 1140 mV = 95 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-48 * R^3 * S^6 * T * S^-41 ] Genus 190 N190.1 : Type {4,192}_192 Order 1536 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^192 ] N190.2 : Type {4,192}_192 Order 1536 mV = 64 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^48 * R^2 * S * R^-1 * S^-4 * T * S^43 ] N190.3 : Type {12,40}_40 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N190.4 : Type {12,40}_40 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N190.5 : Type {14,18}_3 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^3)^2, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3 ] N190.6 : Type {14,18}_6 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3 ] N190.7 : Type {14,18}_7 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^2 * S^-1 * R^-3 * S^4 * T ] N190.8 : Type {14,18}_14 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^2 * S^-1 * R^4 * S^4 * T ] N190.9 : Type {14,18}_7 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^-1 * S * R^3 * S * R^-1 * S^2, R^-1 * T * S^-1 * R^-4 * S * R^-2 * S * R^-2 ] N190.10 : Type {14,18}_14 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^-1 * S * R^3 * S * R^-1 * S^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 191 N191.1 : Type {4,13}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-4, S^-13 ] N191.2 : Type {4,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * R^-1 * S * R^-1 * S^2 * T * S^-1 * R ] N191.3 : Type {4,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-1 * R^2 * S^-4 * R * T ] N191.4 : Type {4,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, R * S^-5 * R^-2 * S^-5 * R * S^2 ] N191.5 : Type {5,8}_8 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, (S * R^-1 * S)^3, R^-1 * T * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^3 * R^-1 * S^-2 ] N191.6 : Type {5,8}_12 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, S^8, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^2 * T ] N191.7 : Type {6,10}_5 Order 1620 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^10, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N191.8 : Type {6,66}_33 Order 1188 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-17 * R * S * R^-1 * S^-1 * R * S * T * S^-13 ] N191.9 : Type {13,13}_7 Order 1092 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R^5 * S^-2 * R * S * T, (R * S^-1)^6, R * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S^-2 ] N191.10 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R * S^-1 * R^-1 * S * R * S^-3 * R^-4 * S^-3 * R * T * R^-1 * S ] N191.11 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-1 * T * S * R * S^-1 * R^4 * S^-6 ] N191.12 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^3 * R * S^-1 * R^-2 * S^-5 * T ] N191.13 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, (R * S^-1)^6 ] N191.14 : Type {18,18}_9 Order 972 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, S^-2 * R^-4 * S * R^-1 * S^2 * T ] N191.15 : Type {18,18}_3 Order 972 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R^4)^2, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] Genus 192 N192.1 : Type {4,42}_35 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-5)^2, S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2 * R * S^-1, S^-1 * R^-1 * S * R * S^-3 * R^2 * S * R^-1 * S^3 * T ] Genus 193 N193.1 : Type {4,195}_195 Order 1560 mV = 65 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-195 ] N193.2 : Type {6,194}_291 Order 1164 mV = 97 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-49 * R^3 * S^6 * T * S^-42 ] N193.3 : Type {10,98}_245 Order 980 mV = 49 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-25 * R^5 * S^6 * T * S^-18 ] N193.4 : Type {14,66}_231 Order 924 mV = 33 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-17 * R^-6 * S^-5 * T * R^-1 * S^-11 ] N193.5 : Type {18,50}_225 Order 900 mV = 25 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-13 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-4 ] N193.6 : Type {26,34}_221 Order 884 mV = 17 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * T * S^-1 * R^2 * T * S^4 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S ] Genus 194 N194.1 : Type {5,10}_6 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] N194.2 : Type {5,10}_6 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R * T ] N194.3 : Type {5,10}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R, R^-1 * T * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S ] N194.4 : Type {5,10}_12 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-5, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2, S^-1 * T * S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-1 ] N194.5 : Type {6,6}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^6, S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-1 * R ] Genus 195 No non-orientable regular maps of genus 195 Genus 196 N196.1 : Type {4,198}_198 Order 1584 mV = 66 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^198 ] N196.2 : Type {4,198}_99 Order 1584 mV = 66 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-50 * R^2 * S^-1 * R * S^3 * T * S^-45 ] N196.3 : Type {6,100}_75 Order 1200 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-13 * R^2 * S^-2 * R * S * T * S^-9 ] N196.4 : Type {8,132}_66 Order 1056 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-18 * R * S * R^-1 * S^-1 * T * R^-1 * S^-13 ] N196.5 : Type {8,132}_33 Order 1056 mV = 44 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, (R * S^-1 * R^2)^2, S^-17 * R^2 * S^-1 * R * S^3 * T * S^-12 ] Genus 197 N197.1 : Type {4,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-2 * R^2 * S^5 * R^-1, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T ] N197.2 : Type {4,14}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^14, R^-1 * S * R * S^-1 * R^-1 * S^5 * R^-1 * S^5 * R^-1 * S^-1 * T * R^-1 * S^-2 ] N197.3 : Type {4,14}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S * R^-1 * T, S^14, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N197.4 : Type {4,30}_4 Order 1800 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * T * S^5 * R^-1 * S^5 ] N197.5 : Type {6,68}_68 Order 1224 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-2 * R^2 * S * R^-1 * S^-1, S^17 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^13 ] N197.6 : Type {6,198}_99 Order 1188 mV = 99 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-50 * R^3 * S^6 * T * S^-43 ] N197.7 : Type {30,30}_15 Order 900 mV = 15 mF = 15 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-2 * T * S^4 * T * S^-1 * R^-13 * S^6 * R^-1 * T * S^2 ] Genus 198 N198.1 : Type {8,12}_12 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N198.2 : Type {8,12}_12 Order 1344 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R^2)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R * S^-1 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * T ] N198.3 : Type {8,12}_28 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N198.4 : Type {8,12}_28 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^8, S^12, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N198.5 : Type {18,18}_9 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, R^-1 * S * R^5 * S * R^-1 * S^-3 ] N198.6 : Type {18,18}_18 Order 1008 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^5 * S * R^-1 * S^-3 ] N198.7 : Type {20,24}_40 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, R^-1 * S * R^8 * S^-1 * R * S * R^-1 * S^-1 * T ] N198.8 : Type {20,24}_40 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * T ] N198.9 : Type {20,24}_4 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S^3 * T ] N198.10 : Type {20,24}_4 Order 960 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R^2)^2, S^-1 * R * S^-1 * R^4 * S^2 * R^-2 * T ] Genus 199 N199.1 : Type {4,201}_201 Order 1608 mV = 67 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-201 ] Genus 200 N200.1 : Type {4,10}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-3 * R * S^-2)^2, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * T * S ] N200.2 : Type {4,10}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N200.3 : Type {4,10}_22 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R ] N200.4 : Type {4,10}_11 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-1 * T * S, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 * R ] N200.5 : Type {4,10}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * T ] N200.6 : Type {4,10}_12 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^10, S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^3 * T ] N200.7 : Type {4,10}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N200.8 : Type {4,10}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * T ] N200.9 : Type {6,36}_9 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T , S * T * S^-2 * R * S^-1 * R^-2 * S^7 ] N200.10 : Type {6,36}_9 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T , S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N200.11 : Type {6,36}_3 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^-2 * S^-2 * T, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S^-3 * R * S^-1 ] N200.12 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R^-2 * S * R^3 * S * R^-1 * S * T, S^10, R * S^-2 * R^4 * S^2 * R^-1 * S * T, (R * S^-4 * R)^2 ] N200.13 : Type {8,10}_4 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^10, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1)^6, (R * S^-2)^4, R * S^-1 * R^3 * S^-1 * R^-4 * S * R^-2 * T, S^-2 * R^-3 * S^2 * R^-3 * S^3 * T ] N200.14 : Type {8,10}_10 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S^10, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N200.15 : Type {8,10}_10 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, R * S^-1 * R^4 * S * R^-2 * T, S^10, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N200.16 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-4)^2, S^10, R^-2 * S^2 * R^3 * S^2 * R^-1 * S * T ] N200.17 : Type {8,10}_8 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-4)^2, S^10, R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1, R^2 * S^-2 * R^-3 * S^2 * R^-1 * S^-2 * T ] N200.18 : Type {8,10}_6 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 , S^10, R * S^-3 * R^-3 * S * R^-1 * S * R^-1 * S * T ] N200.19 : Type {8,10}_3 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^8, S^10, R * S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * R * S^-2 * R ] N200.20 : Type {8,10}_4 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3 * R)^2, (R * S^-4)^2, R * T * S * R^2 * S^-1 * R^3 * S^-2 * R^3 * S^-1 ] N200.21 : Type {8,10}_4 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3 * R)^2, (R * S^-4)^2, R^2 * S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * T ] N200.22 : Type {10,10}_10 Order 1320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^10, R * S^-1 * R^5 * S * R^-3 * T ] N200.23 : Type {10,10}_10 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^10, S^10, R * T * S * R^3 * S^-1 * R^-2 * S^5 ] N200.24 : Type {10,10}_6 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-1)^6, S^-3 * R^-4 * S^2 * R^-2 * S * T ] N200.25 : Type {10,10}_5 Order 1320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N200.26 : Type {10,10}_10 Order 1320 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^10, S^-1 * R^5 * S^-4, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S^2 * T ] N200.27 : Type {12,42}_21 Order 1008 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-12 * R * S * R^-1 * S^-1 * T * R^-1 * S^-7 ] Genus 201 N201.1 : Type {6,202}_303 Order 1212 mV = 101 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^6, S^-51 * R^3 * S^6 * T * S^-44 ] N201.2 : Type {10,102}_255 Order 1020 mV = 51 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^10, S^-26 * R^4 * S^-2 * T * S^2 * R^-1 * T * S^2 * T * S^-19 ] N201.3 : Type {22,42}_231 Order 924 mV = 21 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^11 * R^-7 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 202 N202.1 : Type {4,54}_54 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^54 ] N202.2 : Type {4,204}_204 Order 1632 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^204 ] N202.3 : Type {4,204}_204 Order 1632 mV = 68 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^51 * R^-1 * S^-1 * R * S^4 * R^-1 * T * S^46 ] N202.4 : Type {6,8}_5 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, S^8, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S * R^-1, S^-2 * R * S^-1 * R^-3 * S * R^-1 * S^2 * R^-1 * T ] N202.5 : Type {6,28}_28 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-2 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R * S^-3 * R * S^-1 * R * S^-3 * R * S * T * S^-1 ] N202.6 : Type {6,28}_28 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, R * S^-1 * R^3 * S * R^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N202.7 : Type {6,28}_7 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N202.8 : Type {6,28}_14 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^6, (R * S^-1 * R * S^-1 * R)^2, S * R^2 * S^-1 * R^-3 * S^-5 * T, S^-2 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 ] N202.9 : Type {8,36}_36 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^9 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^5 ] N202.10 : Type {8,36}_36 Order 1152 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^9 * R^4 * S^9 ] N202.11 : Type {8,36}_9 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^4 * R^-2 * S^5 * T ] N202.12 : Type {8,36}_18 Order 1152 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^8, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^3 * R * S^-1 * R^-2 * S^-5 * T ] Genus 203 No non-orientable regular maps of genus 203 Genus 204 No non-orientable regular maps of genus 204 Genus 205 N205.1 : Type {4,207}_207 Order 1656 mV = 69 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-207 ] N205.2 : Type {6,206}_309 Order 1236 mV = 103 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-52 * R^3 * S^8 * T * S^-43 ] N205.3 : Type {12,14}_12 Order 1176 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, S^14, S^-1 * R * T * S * R * S^-2 * R * S^-1 * R^-2 * S^4 * R^-1 * S^-2 ] N205.4 : Type {14,70}_35 Order 980 mV = 35 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-18 * R^-6 * S^-5 * T * R^-1 * S^-12 ] Genus 206 N206.1 : Type {3,15}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3, S^-15 ] N206.2 : Type {3,40}_15 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-4 * R^-1 * S * R^-1 * S^-4 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-1 ] N206.3 : Type {3,40}_30 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N206.4 : Type {4,6}_9 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * T, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N206.5 : Type {4,55}_55 Order 1760 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-55 ] N206.6 : Type {10,11}_3 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2)^4, S^-11 ] N206.7 : Type {10,11}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^-2 * S)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N206.8 : Type {10,45}_9 Order 1080 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S * R^-2 * S^2 * R^-2 * S^6 ] N206.9 : Type {20,40}_24 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S * T * S^-1 * R^-8 * S * R^-1 * S ] N206.10 : Type {20,40}_24 Order 960 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-3 * R^2 * S * R^-1 * T ] Genus 207 No non-orientable regular maps of genus 207 Genus 208 N208.1 : Type {4,210}_105 Order 1680 mV = 70 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-53 * R^2 * S^-1 * R * S^3 * T * S^-48 ] N208.2 : Type {4,210}_210 Order 1680 mV = 70 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^210 ] N208.3 : Type {18,28}_63 Order 1008 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R * T * S^2 * R^-6 * S^2 * R^-1 * S^-1 * R * S^2 ] Genus 209 N209.1 : Type {6,210}_105 Order 1260 mV = 105 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-53 * R^3 * S^8 * T * S^-44 ] N209.2 : Type {10,106}_265 Order 1060 mV = 53 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-27 * R^5 * S * T * S^-3 * T * S^3 * T * S^-19 ] N209.3 : Type {18,54}_27 Order 972 mV = 27 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-14 * R^-6 * S^-6 * R^-1 * T * S^-1 * R^-1 * S * R * S^-5 ] Genus 210 N210.1 : Type {5,12}_4 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, S^-2 * R^2 * S^-1 * R * S^-1 * R^-3 * S^-3 * R^2 * S^-1, S * T * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^3 ] N210.2 : Type {5,12}_5 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4 ] N210.3 : Type {5,12}_5 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4, (R * S^-5)^2, S^-2 * R^-1 * S^4 * R * S^-1 * R * S^-1 * R * S^-1 * R ] N210.4 : Type {5,12}_8 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-4 * R)^2, R^-1 * S * R^-2 * S * R^-1 * S * R^2 * S^-5 * T ] N210.5 : Type {5,12}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-2)^4, (R * S^-5)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * T ] N210.6 : Type {5,12}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * T, S^-2 * R^-1 * S^4 * R * S^-1 * R * S^-1 * R * S^-1 * R ] N210.7 : Type {6,7}_13 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N210.8 : Type {6,7}_13 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R * S^-1 * R * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R^-1 * T * S^-1 * R * S^2 ] N210.9 : Type {6,7}_26 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2 * R * S^-1)^2, R * T * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R * S^2 ] N210.10 : Type {6,7}_26 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S * R^2 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R^-1 * T * S^-1 * R * S^2 ] N210.11 : Type {6,55}_55 Order 1320 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^2 * T * R^-1 * S^2 * R * S^-1 * R * S^6 ] N210.12 : Type {7,8}_7 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S * T * R ] N210.13 : Type {7,8}_7 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, S^-2 * R^2 * S^-2 * R^2 * S * R^-1 * S^-1 * R * S * T * R ] N210.14 : Type {7,8}_14 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1, S^-2 * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * T * R ] N210.15 : Type {7,8}_14 Order 1792 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, S^-2 * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 * T * R ] N210.16 : Type {8,20}_5 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N210.17 : Type {8,20}_10 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^3 * R^-2 * T ] N210.18 : Type {8,20}_10 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T ] N210.19 : Type {8,20}_10 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * T ] N210.20 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^2 * R * S^-1 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^-1 * T * S ] N210.21 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^-3 * R * S * T * S^-1 ] N210.22 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^20 ] N210.23 : Type {8,20}_20 Order 1280 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^20 ] Genus 211 N211.1 : Type {4,213}_213 Order 1704 mV = 71 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-213 ] N211.2 : Type {6,22}_3 Order 1452 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-6 * R * S^-1 * T * R^-1 * S^3 * R^-1 * S^-1 * R^2 * S^-10 ] N211.3 : Type {10,12}_3 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R)^4, (S^-2 * R * S^-1)^3 ] N211.4 : Type {10,12}_4 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, (S^-1 * R)^5 ] N211.5 : Type {10,12}_5 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^3 * S^-1 * R * S^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N211.6 : Type {10,12}_12 Order 1320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^-3 * T, R * S^-1 * R^5 * S * R^-3 * T ] Genus 212 N212.1 : Type {3,12}_10 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * T * R * S^-6 * R^-1 * S^5 * R^-1 * S^4, S^-1 * R^-1 * S^2 * T * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2 ] N212.2 : Type {4,18}_45 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N212.3 : Type {4,24}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 ] N212.4 : Type {4,24}_21 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^4 ] N212.5 : Type {6,8}_6 Order 2016 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S^4 * T ] N212.6 : Type {6,8}_12 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-2 * R * S^-1)^2 ] N212.7 : Type {6,8}_21 Order 2016 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-3 * R * S^4 * R^-1 * T * S^-1 ] N212.8 : Type {6,8}_42 Order 2016 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * S * R * S^-2 * R * S^-3 * R * S^4 * R * T * R^-1 * S^-1 ] N212.9 : Type {6,24}_15 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N212.10 : Type {6,24}_30 Order 1440 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R ] N212.11 : Type {6,108}_27 Order 1296 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-14 * R * S^5 * T * R * S * R^-1 * S^-7 ] N212.12 : Type {8,16}_7 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N212.13 : Type {8,16}_14 Order 1344 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^4 * S^-5, S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * T ] N212.14 : Type {10,20}_30 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 * T ] Genus 213 N213.1 : Type {6,214}_321 Order 1284 mV = 107 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-54 * R^3 * S^8 * T * S^-45 ] Genus 214 N214.1 : Type {4,216}_216 Order 1728 mV = 72 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^54 * R^2 * S * R^-1 * S^-3 * T * S^50 ] N214.2 : Type {4,216}_216 Order 1728 mV = 72 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^216 ] N214.3 : Type {6,56}_21 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, R * T * R^-1 * S^3 * R^3 * S^-1 * R^2 * S^-3 ] N214.4 : Type {8,144}_144 Order 1152 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^18 * R^2 * S^4 * T * R * S^14 ] N214.5 : Type {8,144}_144 Order 1152 mV = 48 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^18 * R * S^-1 * R^2 * S^-3 * T * S^14 ] Genus 215 No non-orientable regular maps of genus 215 Genus 216 N216.1 : Type {12,88}_33 Order 1056 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, R * T * S^5 * R^2 * S^6 ] N216.2 : Type {12,88}_66 Order 1056 mV = 22 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^2 * R * T * S^2 * R * S^-2 * R * S * R^-2 * S^4 ] Genus 217 N217.1 : Type {4,219}_219 Order 1752 mV = 73 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-219 ] N217.2 : Type {6,218}_327 Order 1308 mV = 109 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-55 * R^3 * S^8 * T * S^-46 ] N217.3 : Type {10,110}_55 Order 1100 mV = 55 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-28 * R^5 * S * T * S^-3 * T * S^3 * T * S^-20 ] N217.4 : Type {11,12}_6 Order 1320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R^-11 ] N217.5 : Type {11,12}_11 Order 1320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-11, R^2 * S^-1 * R^-3 * S^4 * T ] N217.6 : Type {14,74}_259 Order 1036 mV = 37 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-19 * R^-6 * S^-5 * T * R^-1 * S^-13 ] N217.7 : Type {26,38}_247 Order 988 mV = 19 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-10 * R^11 * S * T * S^-6 * R * S * R^-1 * S^-1 ] Genus 218 N218.1 : Type {4,6}_6 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^2 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-3 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^-1 * T * S^-1 * R * S^-2 ] N218.2 : Type {4,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^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 * S^-3 * R * S^-1 * R * S^2 * R^-1 * S^2 * T ] N218.3 : Type {4,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^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^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N218.4 : Type {4,12}_12 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^12, S^-1 * T * R^-1 * S * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-2 ] N218.5 : Type {4,12}_12 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^12, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T ] N218.6 : Type {5,10}_15 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3, R^-1 * S^3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1, R * T * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^2 ] N218.7 : Type {10,10}_4 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, (R * S^-3 * R^2)^2, S * R^-4 * S * R^2 * S^-3 * R * T ] N218.8 : Type {10,10}_4 Order 1440 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, (R * S^-3 * R^2)^2, R * S^-2 * R^-4 * S^-3 * R * S * T ] N218.9 : Type {10,10}_5 Order 1440 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N218.10 : Type {10,10}_8 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-2 * S * R^3 * S * R^-1 * S * T ] N218.11 : Type {10,10}_10 Order 1440 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^4 * R^-1 * S^5 * T ] N218.12 : Type {12,24}_3 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, (R * S^-2 * R * S^-1 * R)^2 ] N218.13 : Type {12,24}_3 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, (R * S^-1)^8 ] N218.14 : Type {12,24}_6 Order 1152 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-3 * R^-3 * S * R^-1 * S * R^-1 * T, R^12 ] N218.15 : Type {12,24}_6 Order 1152 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1)^8 ] Genus 219 No non-orientable regular maps of genus 219 Genus 220 N220.1 : Type {4,222}_111 Order 1776 mV = 74 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-56 * R^2 * S^-1 * R * S^3 * T * S^-51 ] N220.2 : Type {4,222}_222 Order 1776 mV = 74 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^222 ] Genus 221 N221.1 : Type {6,76}_76 Order 1368 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^19 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^15 ] N221.2 : Type {6,222}_111 Order 1332 mV = 111 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-56 * R^3 * S^8 * T * S^-47 ] N221.3 : Type {22,46}_253 Order 1012 mV = 23 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-12 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 ] Genus 222 N222.1 : Type {3,17}_15 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * T * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S, S^3 * R * S^-5 * R^2 * S^4 * R^-1 * S^-1 * T * S^2 ] N222.2 : Type {3,17}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * T * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S, S^-17, (S * R^-1 * S^6 * R^-1 * S)^2 ] N222.3 : Type {4,6}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, R^-1 * S^-3 * R^-2 * S^-3 * R * S^-1 * R * S^3 * R^2 * S^3 * R^-1 * S ] N222.4 : Type {4,6}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-1 * R * S^3 * R^-1 * S^2 * R * T * S ] N222.5 : Type {4,12}_5 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T, S^12, (R * S^-4 * R * S^-1)^2 ] N222.6 : Type {4,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^12, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N222.7 : Type {4,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^12, 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 ] N222.8 : Type {4,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^12, S^-2 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T ] N222.9 : Type {6,6}_5 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1 ] N222.10 : Type {6,6}_10 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-1 * S * R^-2 * S^3 * R^2 * S^-1 * T ] N222.11 : Type {6,6}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * T ] N222.12 : Type {10,30}_5 Order 1200 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N222.13 : Type {10,30}_10 Order 1200 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * T * S * R^2 * S^-1 * R^-4 * S^-1 * R^3, S^-4 * R^2 * S^-1 * R^2 * S^-1 * R * S^4 * T ] N222.14 : Type {10,30}_20 Order 1200 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, R^-1 * S * R * S^-1 * R^-1 * S^6 * R^-1 * S^-2 ] N222.15 : Type {12,12}_3 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R)^5, R^12, S^12 ] N222.16 : Type {12,12}_10 Order 1320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^12, R^3 * S^-1 * R^3 * S * R^-1 * S^-2 * T ] Genus 223 N223.1 : Type {4,225}_225 Order 1800 mV = 75 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-225 ] Genus 224 No non-orientable regular maps of genus 224 Genus 225 N225.1 : Type {6,226}_339 Order 1356 mV = 113 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-57 * R^3 * S^8 * T * S^-48 ] N225.2 : Type {10,114}_285 Order 1140 mV = 57 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-29 * R^5 * S * T * S^-3 * T * S^3 * T * S^-21 ] N225.3 : Type {18,58}_261 Order 1044 mV = 29 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-15 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-6 ] N225.4 : Type {30,34}_255 Order 1020 mV = 17 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^4 * T * R^-2 * S^-1 * R^2 * T * S^4 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S ] Genus 226 N226.1 : Type {4,18}_9 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N226.2 : Type {4,18}_9 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, S^-1 * T * S * R * S^-2 * R * S^-5 * R * S^-1 ] N226.3 : Type {4,18}_18 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-1 * T * S * R * S^-2 * R * S^-5 * R * S^-1, S^18 ] N226.4 : Type {4,18}_18 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N226.5 : Type {4,60}_15 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-6 * T * R^-1 * S^-2 ] N226.6 : Type {4,60}_30 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, R^-1 * S^6 * R * S^-1 * R^-2 * S^-6 * T * R^-1 * S^-2 ] N226.7 : Type {4,60}_60 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^15 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^11 ] N226.8 : Type {4,60}_60 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^60 ] N226.9 : Type {4,60}_60 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^15 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S^11 ] N226.10 : Type {4,60}_60 Order 1920 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^60 ] N226.11 : Type {4,228}_228 Order 1824 mV = 76 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^57 * R^2 * S * R^-1 * S^-3 * T * S^53 ] N226.12 : Type {4,228}_228 Order 1824 mV = 76 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^228 ] N226.13 : Type {5,8}_5 Order 2560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N226.14 : Type {6,7}_7 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, R * T * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^2 ] N226.15 : Type {6,10}_5 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N226.16 : Type {6,10}_5 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (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 ] N226.17 : Type {6,10}_10 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] N226.18 : Type {6,10}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-1 * R^2 * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] N226.19 : Type {6,10}_10 Order 1920 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-4)^2, (R * S^-1 * R)^4, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N226.20 : Type {8,12}_3 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2)^4 ] N226.21 : Type {8,12}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S * R^-2 * S * R^4 * S * R^-3 * T ] N226.22 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] N226.23 : Type {8,12}_12 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T, S^12 ] N226.24 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] N226.25 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S * T ] N226.26 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3 ] N226.27 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 ] N226.28 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^12 ] N226.29 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^12 ] N226.30 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3 ] N226.31 : Type {8,12}_12 Order 1536 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3 ] N226.32 : Type {8,40}_40 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-2 * R^-1 * S * R * S^-2 * R^2 * S^-3 * R * S * T * S^-1 ] N226.33 : Type {8,40}_40 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^2 * R * S^-1 * R^-1 * S^2 * R^2 * S^3 * R^-1 * S^-1 * T * S ] N226.34 : Type {8,40}_40 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^10 * R^3 * S^-5 * R * S^5 ] N226.35 : Type {8,40}_40 Order 1280 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^10 * R^3 * S^-5 * R * S^5 ] Genus 227 N227.1 : Type {6,28}_84 Order 1512 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-5 * R^-1 * S^2 * R * S^-1 * R * S^4 * T * S^-2 ] N227.2 : Type {6,78}_39 Order 1404 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-20 * R * S * R^-1 * S^-1 * R * S * T * S^-16 ] Genus 228 N228.1 : Type {6,116}_87 Order 1392 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-15 * R^2 * S^-2 * R * S * T * S^-11 ] Genus 229 N229.1 : Type {4,231}_231 Order 1848 mV = 77 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-231 ] N229.2 : Type {6,230}_345 Order 1380 mV = 115 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-58 * R^3 * S^8 * T * S^-49 ] N229.3 : Type {14,78}_273 Order 1092 mV = 39 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-20 * R^-6 * S^-5 * T * R^-1 * S^-14 ] Genus 230 N230.1 : Type {3,10}_9 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^-1 * R^-1 * S^2 * R^-1 * S^4 * R * S^-3 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-2 ] N230.2 : Type {3,10}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-2 * R * S^-3 * R * S^2 * R^-1 * S, S * R^-1 * S * T * S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 ] N230.3 : Type {6,60}_60 Order 1440 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N230.4 : Type {6,60}_60 Order 1440 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^4 * R^-2 * S * R^-2 * S^7 ] N230.5 : Type {8,28}_4 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, R * S^-1 * R^3 * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T ] N230.6 : Type {8,28}_4 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S^3 * T ] N230.7 : Type {8,28}_12 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4, R * S^-1 * R * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N230.8 : Type {8,28}_12 Order 1344 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T, (R * S^-1 * R)^4 ] N230.9 : Type {10,12}_12 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N230.10 : Type {10,12}_12 Order 1440 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N230.11 : Type {10,12}_12 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] N230.12 : Type {10,12}_12 Order 1440 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^12 ] N230.13 : Type {10,12}_60 Order 1440 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S^4 * R^4 * S * R^-3 * S^-1 * T * R^-1 ] N230.14 : Type {10,12}_60 Order 1440 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R * S^-1 * R^-4 * S * R^-1 * S * R^-1 * S * R^-2 * T ] Genus 231 No non-orientable regular maps of genus 231 Genus 232 N232.1 : Type {3,11}_11 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^11, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2 ] N232.2 : Type {3,11}_12 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^11, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^6, (S^2 * R^-1 * S^2)^4, S^-3 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * T * S^-1 ] N232.3 : Type {4,234}_117 Order 1872 mV = 78 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-59 * R^2 * S^-1 * R * S^3 * T * S^-54 ] N232.4 : Type {4,234}_234 Order 1872 mV = 78 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^234 ] N232.5 : Type {8,156}_39 Order 1248 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-20 * R * S * R^-1 * S^-1 * R * S * T * S^-16 ] N232.6 : Type {8,156}_78 Order 1248 mV = 52 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-20 * R^2 * S^-1 * R * S^3 * T * S^-15 ] Genus 233 N233.1 : Type {6,234}_117 Order 1404 mV = 117 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-59 * R^3 * S^8 * T * S^-50 ] N233.2 : Type {10,118}_295 Order 1180 mV = 59 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-30 * R^4 * S^-2 * T * R^-1 * S^-2 * T * S^3 * T * S^-22 ] Genus 234 No non-orientable regular maps of genus 234 Genus 235 N235.1 : Type {4,237}_237 Order 1896 mV = 79 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-237 ] Genus 236 N236.1 : Type {3,8}_13 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^3 * R^2 * S^4 * R * S^-3 * R * T * S^2 * R^-1 * S^-1 ] N236.2 : Type {4,17}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (S * R^-1 * S)^3, R^-1 * S * R * S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] N236.3 : Type {12,18}_3 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R)^2, R^12 ] N236.4 : Type {12,18}_3 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2 ] N236.5 : Type {12,18}_6 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, S^-5 * R^2 * S * R^-1 * S^2 * T ] N236.6 : Type {12,18}_9 Order 1296 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, R^12, S * R * S^-1 * R^4 * S^-1 * R * S^3, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N236.7 : Type {12,18}_9 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^3 * R * S^-1 * R^-2 * S^-5 * T ] N236.8 : Type {12,18}_9 Order 1296 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^3 * T, R^12 ] N236.9 : Type {12,18}_18 Order 1296 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, R^12, S * R * S^-1 * R^4 * S^-1 * R * S^3, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T ] Genus 237 N237.1 : Type {6,238}_357 Order 1428 mV = 119 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-60 * R^3 * S^8 * T * S^-51 ] Genus 238 N238.1 : Type {4,240}_240 Order 1920 mV = 80 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^60 * R^2 * S * R^-1 * S^-3 * T * S^56 ] N238.2 : Type {4,240}_240 Order 1920 mV = 80 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^240 ] N238.3 : Type {8,42}_21 Order 1344 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-11 * R * S * R^-1 * S^-1 * R * S * T * S^-7 ] Genus 239 No non-orientable regular maps of genus 239 Genus 240 N240.1 : Type {12,16}_7 Order 1344 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T, R * S^-1 * R^-1 * S^2 * R^-3 * S^4 * R^-1 * S^-1 ] N240.2 : Type {12,16}_14 Order 1344 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * T, R * S^-1 * R^-1 * S^2 * R^-3 * S^4 * R^-1 * S^-1 ] Genus 241 N241.1 : Type {4,243}_243 Order 1944 mV = 81 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-243 ] N241.2 : Type {6,242}_363 Order 1452 mV = 121 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-61 * R^3 * S^8 * T * S^-52 ] N241.3 : Type {10,122}_305 Order 1220 mV = 61 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-31 * R^5 * S^7 * T * S^-23 ] N241.4 : Type {14,82}_287 Order 1148 mV = 41 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-21 * R^-6 * S^-5 * T * R^-1 * S^-15 ] N241.5 : Type {18,62}_279 Order 1116 mV = 31 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-16 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-7 ] N241.6 : Type {22,50}_275 Order 1100 mV = 25 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-13 * R^-6 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 ] N241.7 : Type {26,42}_273 Order 1092 mV = 21 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^11 * R^-9 * S^-6 * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 242 N242.1 : Type {4,24}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-2 * T * S^2 * R * S^-1 * R * S^-1 * R^-2 * S^-7 ] N242.2 : Type {4,24}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N242.3 : Type {6,8}_8 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R^-1 * T * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N242.4 : Type {6,8}_8 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T ] N242.5 : Type {6,12}_12 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T ] N242.6 : Type {6,15}_15 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-15 ] N242.7 : Type {6,18}_18 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^4 ] N242.8 : Type {24,24}_3 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^4 ] N242.9 : Type {24,24}_6 Order 1152 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^10 * S^-1 * R * S * T * S^-1 ] Genus 243 No non-orientable regular maps of genus 243 Genus 244 N244.1 : Type {4,246}_123 Order 1968 mV = 82 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-62 * R^2 * S^-1 * R * S^3 * T * S^-57 ] N244.2 : Type {4,246}_246 Order 1968 mV = 82 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^246 ] N244.3 : Type {6,124}_93 Order 1488 mV = 31 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-16 * R * S^5 * T * R * S * R^-1 * S^-9 ] Genus 245 N245.1 : Type {4,5}_18 Order 9720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * T * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R, S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] N245.2 : Type {4,6}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S * T, S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1, 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 * R^-1 * S^-1 * T * S ] N245.3 : Type {4,6}_36 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S * T, S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1, S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-2 * R * S^-1 * R * S * T * S^-1 * R ] N245.4 : Type {5,5}_9 Order 4860 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^5, S^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * T, R^-1 * S * R^2 * S^2 * R * S^-1 * R^-2 * S^-2 * R^-2 * S^-2 * R^-1 * T * S^-1 ] N245.5 : Type {6,6}_9 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^-2 * R * S^-2 * R * S^3 * R^-1 * T, S^-2 * R^-2 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S * R^-1 * S^-1 * R ] N245.6 : Type {6,6}_9 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^-2 * R * S^-2 * R * S^3 * R^-1 * T, (R * S^-1)^6 ] N245.7 : Type {6,12}_4 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^-3 * S^-2 * R * T, S^12, S^-2 * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^-3 ] N245.8 : Type {6,12}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^12, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N245.9 : Type {6,12}_12 Order 1944 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S^12, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 * R * S^2, S^-2 * T * S * R^-1 * S^3 * R^2 * S * R^-1 * S^-3 * R * S^-2 ] N245.10 : Type {6,30}_45 Order 1620 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^4 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S^-2 * T * S^5 ] N245.11 : Type {6,30}_45 Order 1620 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-4 * T * S^3 ] N245.12 : Type {6,84}_28 Order 1512 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^5 * R^-2 * S * R * S^-1 * R * S^5 * T * R * S^2 ] N245.13 : Type {6,84}_84 Order 1512 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^21 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^17 ] N245.14 : Type {6,84}_84 Order 1512 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^6 * R * S^-1 * R^3 * S * R^-1 * S^-2 * T * S^4 ] N245.15 : Type {6,246}_123 Order 1476 mV = 123 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-62 * R^3 * S^8 * T * S^-53 ] Genus 246 N246.1 : Type {4,65}_65 Order 2080 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-65 ] N246.2 : Type {10,33}_55 Order 1320 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * T * S * R^3 * S^-1 * R^-4 * S * R^-1 * S^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-7 ] Genus 247 N247.1 : Type {4,14}_28 Order 2744 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S^14, S * T * R * S^-1 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] N247.2 : Type {4,249}_249 Order 1992 mV = 83 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-249 ] N247.3 : Type {14,14}_7 Order 1372 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^14, S^2 * R^6 * S^3 * R^-1 * S^-1 * T * S ] Genus 248 No non-orientable regular maps of genus 248 Genus 249 N249.1 : Type {6,250}_375 Order 1500 mV = 125 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-63 * R^3 * S^8 * T * S^-54 ] N249.2 : Type {10,126}_315 Order 1260 mV = 63 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-32 * R^5 * S^7 * T * S^-24 ] Genus 250 N250.1 : Type {4,66}_66 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^66 ] N250.2 : Type {4,252}_252 Order 2016 mV = 84 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^63 * R^2 * S * R^-1 * S^-3 * T * S^59 ] N250.3 : Type {4,252}_252 Order 2016 mV = 84 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^252 ] N250.4 : Type {6,65}_65 Order 1560 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-2 * R^-1 * S * R * S^-3 * R^-2 * S^-7 ] N250.5 : Type {8,168}_168 Order 1344 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^21 * R^2 * S^4 * T * R * S^17 ] N250.6 : Type {8,168}_168 Order 1344 mV = 56 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^21 * R * S^-1 * R^2 * S^-3 * T * S^17 ] Genus 251 No non-orientable regular maps of genus 251 Genus 252 N252.1 : Type {4,6}_6 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * T * S^-1 ] N252.2 : Type {4,6}_15 Order 6000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R * S^-1 * 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^-1 * T * R^-1 * S^-1 * R * S^2 ] N252.3 : Type {6,28}_35 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * T ] N252.4 : Type {20,30}_15 Order 1200 mV = 5 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R * S^2 * R^2 * S^-1 * R^-6 * S^-1 * R, S^-8 * R^3 * S^3 * T * R * S * R^-1 * S^-3 ] Genus 253 N253.1 : Type {4,255}_255 Order 2040 mV = 85 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-255 ] N253.2 : Type {6,254}_381 Order 1524 mV = 127 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-64 * R^3 * S^8 * T * S^-55 ] N253.3 : Type {14,86}_301 Order 1204 mV = 43 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-22 * R^-6 * S^-5 * T * R^-1 * S^-16 ] N253.4 : Type {30,38}_285 Order 1140 mV = 19 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-10 * R^13 * S * T * S^-6 * R * S * R^-1 * S^-1 ] Genus 254 N254.1 : Type {4,16}_56 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^3 * R * S^-1 * R^-1 * S * R * S^-3 * R * S * R^-1 * S^-1 * R * S^2 ] N254.2 : Type {4,16}_56 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S^5 * T ] N254.3 : Type {6,24}_3 Order 1728 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^9 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^9 ] N254.4 : Type {10,55}_33 Order 1320 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^2 * R * S^-1 * R^-1 * S^2 * R^2 * S^6 ] N254.5 : Type {12,15}_15 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-2 * S * R^-3 * S^4 * R^-1, R^12 ] N254.6 : Type {16,16}_3 Order 1344 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-1 * R * S^-1 * R^4 * S^-1 * R * S^-3 ] N254.7 : Type {16,16}_6 Order 1344 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-6 * S * R^-1 * S^-2 * T, S^-2 * R * S^-1 * R^-2 * S^4 * T ] Genus 255 N255.1 : Type {3,8}_11 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * T ] N255.2 : Type {3,8}_22 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-2, S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S^3 * R^-1 * S * R^-1 * T * S^2 * R^-1 * S ] N255.3 : Type {3,12}_11 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T, S * T * R * S^-6 * R^-1 * S^5 * R^-1 * S^4 ] Genus 256 N256.1 : Type {4,258}_129 Order 2064 mV = 86 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-65 * R^2 * S^-1 * R * S^3 * T * S^-60 ] N256.2 : Type {4,258}_258 Order 2064 mV = 86 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^258 ] N256.3 : Type {12,104}_39 Order 1248 mV = 26 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^5 * R^-2 * S^2 * R^-1 * S^-4 * T * S^2 ] N256.4 : Type {12,104}_78 Order 1248 mV = 26 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R * S^3 * T * S^-3 ] Genus 257 N257.1 : Type {3,16}_8 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^16, S * T * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^2 ] N257.2 : Type {3,16}_9 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^16, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^-1 * R * S^-3 * R * S^2 * R^-1 * S^-2 ] N257.3 : Type {3,16}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^16, S^2 * T * R * S^-4 * R * S^-1 * R * S^-4 * R * S^-2 * R * S ] N257.4 : Type {3,16}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S^16, S * T * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S ] N257.5 : Type {4,34}_4 Order 2312 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^4 * T * S^-1 * R * S^-1 * R * S^-1 * R * S^-5 ] N257.6 : Type {6,258}_129 Order 1548 mV = 129 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-65 * R^3 * S^8 * T * S^-56 ] N257.7 : Type {10,28}_28 Order 1400 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-3 * S * R^-1 * S^-1 * T * S^5 ] N257.8 : Type {10,130}_65 Order 1300 mV = 65 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-33 * R^5 * S^7 * T * S^-25 ] N257.9 : Type {18,66}_99 Order 1188 mV = 33 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-17 * R^-6 * S^-6 * R^-1 * T * S^-1 * R^-1 * S * R * S^-8 ] N257.10 : Type {34,34}_17 Order 1156 mV = 17 mF = 17 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S * R^-1 * S^-1 * R * S^6 * R^11 * S^-2 * T * S^3 * R^2 * S^2 * R * S^-2 ] Genus 258 N258.1 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^12, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 ] N258.2 : Type {4,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^12, S^2 * R * S^-3 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * T ] N258.3 : Type {6,35}_35 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-2 * S * R^3 * S^4 * T, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S^-1 * R * S^-1 ] N258.4 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 ] N258.5 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S * T ] N258.6 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N258.7 : Type {8,24}_24 Order 1536 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N258.8 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S * R^-1 * S^-2 * T, (R * S^-2)^4 ] N258.9 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R * S^-3 * R * S^-1 * R * S^-4 * T ] N258.10 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, R * S^-1 * R^-2 * S^3 * R^-1 * S^-3 * R * S * T ] N258.11 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2)^4 ] N258.12 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-6 * T ] N258.13 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, S^2 * R * T * S^2 * R * S^-1 * R^-3 * S^7 ] N258.14 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^24 ] N258.15 : Type {8,24}_24 Order 1536 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^24 ] Genus 259 N259.1 : Type {4,261}_261 Order 2088 mV = 87 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-261 ] Genus 260 N260.1 : Type {6,132}_33 Order 1584 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-17 * R^2 * S^-2 * R * S * T * S^-13 ] N260.2 : Type {12,54}_27 Order 1296 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-14 * R * S * R^-1 * S^-1 * R * S * T * S^-10 ] Genus 261 N261.1 : Type {6,262}_393 Order 1572 mV = 131 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-66 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-57 ] N261.2 : Type {8,15}_35 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S^2 * T, R * S^-1 * R^-1 * T * S^-4 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] N261.3 : Type {22,54}_297 Order 1188 mV = 27 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-14 * R^-6 * S^-6 * R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-3 ] Genus 262 N262.1 : Type {4,264}_264 Order 2112 mV = 88 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^66 * R^2 * S * R^-1 * S^-3 * T * S^62 ] N262.2 : Type {4,264}_264 Order 2112 mV = 88 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^264 ] N262.3 : Type {6,42}_42 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^2 * R * S^-1 * R^-1 * S^8 * R^-1 * S^-1 * R * S^2 ] Genus 263 N263.1 : Type {6,90}_15 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^8 * R^-2 * S^4 * R^-1 * S^-1 * T * S^2 ] N263.2 : Type {6,90}_45 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-23 * R * S * R^-1 * S^-1 * R * S * T * S^-19 ] N263.3 : Type {6,90}_45 Order 1620 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^7 * R * S^-1 * R^-2 * S^-6 * T * S ] Genus 264 No non-orientable regular maps of genus 264 Genus 265 N265.1 : Type {4,267}_267 Order 2136 mV = 89 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-267 ] N265.2 : Type {6,266}_399 Order 1596 mV = 133 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-67 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-58 ] N265.3 : Type {10,134}_335 Order 1340 mV = 67 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-34 * R^-4 * S^-6 * R^-1 * S * T * S^-26 ] N265.4 : Type {14,90}_315 Order 1260 mV = 45 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-23 * R^-6 * S^-5 * T * R^-1 * S^-17 ] N265.5 : Type {26,46}_299 Order 1196 mV = 23 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-12 * R^9 * S * T * S^-6 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 266 N266.1 : Type {4,70}_35 Order 2240 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-18 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-13 ] N266.2 : Type {4,70}_70 Order 2240 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^70 ] N266.3 : Type {6,14}_9 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * T * S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R, (R * S^-6)^2 ] N266.4 : Type {6,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, S^-2 * T * S * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] N266.5 : Type {6,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, S^3 * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^2 * T * R * S^2 ] N266.6 : Type {6,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, R^-1 * S * T * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 ] N266.7 : Type {6,14}_21 Order 2016 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-2 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N266.8 : Type {12,20}_15 Order 1440 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, (R * S^-3 * R * S^-2)^2 ] N266.9 : Type {12,20}_30 Order 1440 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S^-1 * T * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-3, (R * S^-3 * R * S^-2)^2 ] Genus 267 No non-orientable regular maps of genus 267 Genus 268 N268.1 : Type {4,270}_135 Order 2160 mV = 90 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-68 * R^2 * S^-1 * R * S^3 * T * S^-63 ] N268.2 : Type {4,270}_270 Order 2160 mV = 90 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^270 ] N268.3 : Type {8,180}_45 Order 1440 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-23 * R^2 * S^-1 * R * S^3 * T * S^-18 ] N268.4 : Type {8,180}_90 Order 1440 mV = 60 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-23 * R * S * R^-1 * S^-4 * T * R^-1 * S^-17 ] Genus 269 N269.1 : Type {6,92}_92 Order 1656 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^23 * R * S^-1 * R * S^2 * R^-1 * T * S^20 ] N269.2 : Type {6,270}_135 Order 1620 mV = 135 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-68 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-59 ] Genus 270 N270.1 : Type {6,70}_35 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^3 * R * S^-1 * R^-2 * S^-3 * R^2 * T ] N270.2 : Type {6,70}_70 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-2 * R^-1 * S^3 * R * S^-2 * R * S^6 * T * S^-1 ] N270.3 : Type {8,25}_25 Order 1600 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-25 ] N270.4 : Type {8,25}_50 Order 1600 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-25 ] Genus 271 N271.1 : Type {4,273}_273 Order 2184 mV = 91 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-273 ] Genus 272 N272.1 : Type {4,7}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, (R^-1 * S * R^-1 * S^2)^3 ] N272.2 : Type {4,8}_15 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-4 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1 ] N272.3 : Type {4,8}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R ] N272.4 : Type {4,8}_30 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T, S^2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^4 * R^-1 * S^2 * R^-1 ] N272.5 : Type {4,22}_5 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T, (R * S^-3 * R * S^-2)^2 ] N272.6 : Type {4,22}_10 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S, (R * S^-3 * R * S^-2)^2 ] N272.7 : Type {6,12}_15 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-1)^6 ] N272.8 : Type {8,8}_5 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-2 ] N272.9 : Type {16,28}_3 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] N272.10 : Type {16,28}_6 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-6 * S * R^-1 * S^-2 * T, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R ] N272.11 : Type {16,28}_8 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ] N272.12 : Type {16,28}_8 Order 1344 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^-3 * S^4 * T, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1 ] N272.13 : Type {18,36}_9 Order 1296 mV = 9 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * S * R * S^-3 * R^-5 * S^2 * R^-2 * S * T * S^-2 ] Genus 273 N273.1 : Type {6,274}_411 Order 1644 mV = 137 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-69 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-60 ] N273.2 : Type {10,138}_345 Order 1380 mV = 69 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-35 * R^-3 * S^6 * R^-2 * S * T * S^-27 ] N273.3 : Type {18,70}_315 Order 1260 mV = 35 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-18 * R^-6 * S^-5 * T * R^-1 * S^-2 * R^-1 * S * R * S^-9 ] Genus 274 N274.1 : Type {3,18}_8 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^4 * R * S^-4 * R * S^5 * R^-1 * T * S^2 ] N274.2 : Type {3,18}_9 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S * R * S^-3 * R^-1 * S^2 * R^2 * S^-3 * R * S^3 ] N274.3 : Type {3,18}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * T * R^-1 * S^4 * R * S^-3 * R * S^3, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^3 * R^-1 * S ] N274.4 : Type {3,18}_17 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^7 * R^-1 * S^7 * R^-1 * S^-1, S^-1 * T * R^-1 * S^3 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1 ] N274.5 : Type {3,18}_34 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * T * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S, S^-1 * R^-1 * S^7 * R^-1 * S^7 * R^-1 * S^-1 ] N274.6 : Type {4,21}_21 Order 2688 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T, S^-21 ] N274.7 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^-8 * R^-1 * S * R^-1 * S^-5 * T * S^3 * R^-1 * S^-1 ] N274.8 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S * R * S^-3 * T * S * R * S^-4 * R^2 * S^-6 * R * S^3 ] N274.9 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^18 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^14 ] N274.10 : Type {4,72}_72 Order 2304 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^72 ] N274.11 : Type {4,276}_276 Order 2208 mV = 92 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^69 * R^2 * S * R^-1 * S^-3 * T * S^65 ] N274.12 : Type {4,276}_276 Order 2208 mV = 92 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^276 ] N274.13 : Type {8,14}_7 Order 1792 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-5 * R^4 * S^-2, (R * S^-2)^4, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-2 ] N274.14 : Type {8,14}_7 Order 1792 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-5 * R^4 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-2 * R^2 * S^-2 ] N274.15 : Type {8,14}_14 Order 1792 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^-5 * R^4 * S^-2, (R * S^-2)^4, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] N274.16 : Type {8,14}_14 Order 1792 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-5 * R^4 * S^-2, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-2 ] N274.17 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, S^2 * T * R^-1 * S^2 * R * S^-1 * R^-3 * S^7 ] N274.18 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-2 * S^-1 * R * S^3, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-6 * T ] N274.19 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^12 * R * S^-3 * R * S * T * S^-3 * R * S^5 ] N274.20 : Type {8,48}_48 Order 1536 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 * R^-1 * S^-7 * R^3 * S^5 ] N274.21 : Type {12,16}_3 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1)^2, R^12 ] N274.22 : Type {12,16}_3 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, S^-2 * R * S^-1 * R^-2 * S^8 * R^-2 * S^-1 * R * S^-2 ] N274.23 : Type {12,16}_6 Order 1536 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^12, S * R^-1 * S * R^4 * S * R^-1 * S^3, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N274.24 : Type {12,16}_6 Order 1536 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^16 ] Genus 275 N275.1 : Type {3,12}_21 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S)^2, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 * T * S^2 ] N275.2 : Type {4,6}_21 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, (R^-1 * S * R^-1 * S^2)^3, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R ] N275.3 : Type {6,12}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-2 * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S^-2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N275.4 : Type {6,12}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^12, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, S^2 * R * S^-2 * R^-2 * S^-2 * R * S^2 * R^-1 ] N275.5 : Type {6,42}_3 Order 1764 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-2 * S * R^2 * S^-1 * R * S^-3 * T * R^-1 * S^3 * R^-1 * S^3 ] N275.6 : Type {7,8}_21 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * T * S * R^3 * S^-2 * R * S^-2 * R * S^-2 * R ] N275.7 : Type {7,8}_28 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R^-1 * S * R^-2 * S * R^-2 * S * R^-1 * S^4 * T ] N275.8 : Type {8,20}_35 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * R * S^-1 * R^-3 * S * R^-3 * S^-2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^5 * T ] Genus 276 N276.1 : Type {6,140}_105 Order 1680 mV = 35 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-18 * R * S^5 * T * R * S * R^-1 * S^-11 ] Genus 277 N277.1 : Type {4,15}_15 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-15 ] N277.2 : Type {4,279}_279 Order 2232 mV = 93 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-279 ] N277.3 : Type {6,278}_417 Order 1668 mV = 139 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-70 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-61 ] N277.4 : Type {10,30}_3 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-5)^2 ] N277.5 : Type {10,30}_15 Order 1500 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^2 * R * S^-6 * R^2 * S^-2 * R^2 * T * S^5 ] N277.6 : Type {10,30}_15 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^7 * R * S^-1 * R * S * R^-1 * S^-3 * R * T * S^-1 * R * S^2 ] N277.7 : Type {10,30}_15 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-5)^2, S^-1 * R * S^-1 * R^-4 * S^3 * R^-2 * T ] N277.8 : Type {10,30}_15 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N277.9 : Type {10,30}_15 Order 1500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^3 * T ] N277.10 : Type {14,94}_329 Order 1316 mV = 47 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-24 * R^-6 * S^-1 * R * T * S^-22 ] Genus 278 N278.1 : Type {6,72}_9 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, (R * S^-1)^8 ] N278.2 : Type {10,60}_12 Order 1440 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S * T ] N278.3 : Type {10,60}_12 Order 1440 mV = 12 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-1 * T * S * R^-2 * S^3 * R^-1 * S^-7 ] N278.4 : Type {15,20}_3 Order 1440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S * R^-1 * S)^3, R^-15 ] Genus 279 No non-orientable regular maps of genus 279 Genus 280 N280.1 : Type {4,282}_141 Order 2256 mV = 94 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-71 * R^2 * S^-1 * R * S^3 * T * S^-66 ] N280.2 : Type {4,282}_282 Order 2256 mV = 94 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^282 ] Genus 281 N281.1 : Type {6,282}_141 Order 1692 mV = 141 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-71 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-62 ] N281.2 : Type {10,142}_355 Order 1420 mV = 71 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-36 * R^-3 * S^6 * R^-2 * S * T * S^-28 ] N281.3 : Type {22,58}_319 Order 1276 mV = 29 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-15 * R^-6 * S^-5 * T * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-4 ] N281.4 : Type {30,42}_105 Order 1260 mV = 21 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * T * R^-2 * S^-1 * T * S^4 * R^-9 * S^-5 * T * R^-1 * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 282 N282.1 : Type {4,24}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-2 * R * S^-1 * R * S^-1)^2, S * T * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S^2 ] N282.2 : Type {4,24}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (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 ] N282.3 : Type {6,8}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-2)^4, S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^4 * R * S^-1 * T ] N282.4 : Type {6,8}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, (R * S^-2)^4, S^2 * R^-1 * S^3 * R^-1 * S^4 * R * S^-1 * T ] N282.5 : Type {6,8}_24 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * S^-1 * R * S^-2 * R^-2 * S^4 * R * S^-1 * T ] N282.6 : Type {6,8}_24 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-3 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * T ] N282.7 : Type {6,13}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-4 * R)^2 ] N282.8 : Type {6,13}_7 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T, S^-13, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] N282.9 : Type {6,13}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, S * R^-1 * S * R^-2 * S * R^2 * S^-2 * R * S^2, S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^-2, S^-3 * R^-1 * S * R^-2 * S^2 * R^-1 * S^2 * T ] N282.10 : Type {6,13}_14 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^-13, S^3 * R * S^-4 * R^-2 * S^5 * R^-1 * S^-1 * T * S^2 ] N282.11 : Type {6,18}_7 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N282.12 : Type {6,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R * S^-1 * R^-1 * T * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-5 ] N282.13 : Type {6,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-2 * R^-1 * T * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-5 ] N282.14 : Type {6,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N282.15 : Type {8,12}_5 Order 1920 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^-2 * R * S^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (S^-2 * R * S^-1)^3 ] N282.16 : Type {10,20}_5 Order 1600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 283 N283.1 : Type {4,285}_285 Order 2280 mV = 95 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-285 ] Genus 284 No non-orientable regular maps of genus 284 Genus 285 N285.1 : Type {6,286}_429 Order 1716 mV = 143 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-72 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-63 ] Genus 286 N286.1 : Type {4,75}_75 Order 2400 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-75 ] N286.2 : Type {4,288}_288 Order 2304 mV = 96 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^72 * R^2 * S * R^-1 * S^-3 * T * S^68 ] N286.3 : Type {4,288}_288 Order 2304 mV = 96 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^288 ] N286.4 : Type {8,50}_25 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-13 * R^4 * S^-12 ] N286.5 : Type {8,50}_50 Order 1600 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-13 * R^4 * S^-12 ] N286.6 : Type {8,192}_192 Order 1536 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^24 * R^2 * S^4 * T * R * S^20 ] N286.7 : Type {8,192}_192 Order 1536 mV = 64 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^24 * R * S^-1 * R * S^4 * T * S^-1 * R * S^18 ] Genus 287 N287.1 : Type {4,6}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R * S^-1 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * T ] Genus 288 N288.1 : Type {6,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, (R * S^-4 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N288.2 : Type {6,14}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-2 * R^-2 * S * R * S^-1 * R * S^3 * R^-1 * S^-1, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N288.3 : Type {6,14}_13 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] N288.4 : Type {6,14}_13 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^2 ] N288.5 : Type {6,14}_13 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, S * R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T * S^-1 * R * S^2 ] N288.6 : Type {6,14}_14 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S^14, (S^2 * R^-1 * S^2)^3 ] N288.7 : Type {6,14}_26 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] N288.8 : Type {6,14}_26 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R^-2 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^2 ] N288.9 : Type {6,14}_26 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-3 * R^3 * S^-4, S * R * S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S * T * S^-1 * R * S^2 ] Genus 289 N289.1 : Type {4,291}_291 Order 2328 mV = 97 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-291 ] N289.2 : Type {6,290}_435 Order 1740 mV = 145 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-73 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-64 ] N289.3 : Type {10,146}_365 Order 1460 mV = 73 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-37 * R^-3 * S^6 * R^-2 * S * T * S^-29 ] N289.4 : Type {14,98}_49 Order 1372 mV = 49 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-25 * R^-6 * S^-1 * R * T * S^-23 ] N289.5 : Type {18,74}_333 Order 1332 mV = 37 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-19 * R^-4 * S^-3 * T * R^-1 * S^-2 * R^-2 * S^-2 * R^-1 * S * R * S^-10 ] N289.6 : Type {26,50}_325 Order 1300 mV = 25 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^13 * R^-7 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] N289.7 : Type {34,38}_323 Order 1292 mV = 19 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * R^-1 * S^2 * R^-1 * T * R * S^-4 * T * S * R^12 * S * T * S^-6 * R * S * R^-1 * S^-1 ] Genus 290 N290.1 : Type {4,10}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^5 * R^-1 * S^2, S * T * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] N290.2 : Type {4,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S * T * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] N290.3 : Type {4,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1)^6, S^-1 * T * S * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ] N290.4 : Type {4,12}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^12, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N290.5 : Type {4,20}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * T * R * S^-1 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-2 ] N290.6 : Type {4,20}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-1 * T * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-2 ] N290.7 : Type {4,36}_36 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2)^6 ] N290.8 : Type {4,36}_36 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N290.9 : Type {6,6}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-2 * R * S^-2 * R)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^3 * R^3 * S^-2 ] N290.10 : Type {6,12}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N290.11 : Type {6,12}_6 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N290.12 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, 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 * R^-1 * S^-1 * R^2 * T ] N290.13 : Type {6,12}_12 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^5 ] N290.14 : Type {10,10}_6 Order 1920 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-2 * R^4 * S^-2 * R * S^3, R * T * S * R^4 * S^-1 * R^5 * S^-1 * R^2 ] N290.15 : Type {10,10}_6 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-1 * S * R^-2 * S ] N290.16 : Type {10,10}_6 Order 1920 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R * T * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^2 * S^-1 ] N290.17 : Type {10,10}_12 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, R * S^-1 * R^-1 * S * R^-3 * S * R^-1 * S^-1 * R * S^2, R * T * S * R^-2 * S * R^-2 * S^-1 * R * S^-1 * R^2 * S^-1 ] N290.18 : Type {12,12}_3 Order 1728 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, (S^-1 * R^2 * S^-1)^3, S^12 ] N290.19 : Type {12,60}_15 Order 1440 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^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^3 * S^2 * R^-1 * S^-1 * R, S * R * S^-1 * R^-4 * S * R^-1 * S * R^-1 * S^-1 * T ] N290.20 : Type {12,60}_30 Order 1440 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-2 * T ] Genus 291 No non-orientable regular maps of genus 291 Genus 292 N292.1 : Type {4,294}_147 Order 2352 mV = 98 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-74 * R^2 * S^-1 * R * S^3 * T * S^-69 ] N292.2 : Type {4,294}_294 Order 2352 mV = 98 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^294 ] N292.3 : Type {6,148}_111 Order 1776 mV = 37 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-19 * R^2 * S^-2 * R * S * T * S^-15 ] Genus 293 N293.1 : Type {6,100}_100 Order 1800 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^25 * R * S^-1 * R * S^2 * R^-1 * T * S^22 ] N293.2 : Type {6,294}_147 Order 1764 mV = 147 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-74 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-65 ] N293.3 : Type {8,35}_15 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1)^6, S * R^3 * S^-1 * R^-4 * S^-1 * R^3 * S^2, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^6 ] N293.4 : Type {8,35}_20 Order 1680 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^-3 * S^4 * T, R * S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-2 * R * S^-1 ] Genus 294 N294.1 : Type {10,39}_65 Order 1560 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * T * S * R^2 * S^-1 * R^-4 * S^-1 * R^3, S^-5 * R^2 * S^-1 * R^2 * S^-1 * R * S^4 * T * S^-2 ] Genus 295 N295.1 : Type {4,297}_297 Order 2376 mV = 99 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-297 ] Genus 296 N296.1 : Type {6,24}_6 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N296.2 : Type {6,24}_12 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 * T ] N296.3 : Type {6,24}_21 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^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, S^2 * R^2 * S^-1 * R^2 * S^5, R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * T ] N296.4 : Type {6,24}_24 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^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, S^2 * R^2 * S^-1 * R^2 * S^5, (R * S^-2)^4, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-1 * T * S ] N296.5 : Type {8,12}_21 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S * R^-2 * S * R^4 * S * R^-3 * T ] N296.6 : Type {8,12}_42 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-1 * R^-1 * S * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S * R^-1 * S^-1 * R ] N296.7 : Type {12,120}_15 Order 1440 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-3 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * T * S^-4 ] N296.8 : Type {12,120}_30 Order 1440 mV = 30 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-8 * R * S^5 * T * R * S * R^-1 * S^-1 ] Genus 297 N297.1 : Type {6,298}_447 Order 1788 mV = 149 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-75 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-66 ] N297.2 : Type {10,150}_75 Order 1500 mV = 75 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-38 * R^-4 * S^-3 * T * S * R * T * S^3 * T * S^-30 ] Genus 298 N298.1 : Type {4,78}_78 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^78 ] N298.2 : Type {4,300}_300 Order 2400 mV = 100 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^75 * R^2 * S * R^-1 * S^-3 * T * S^71 ] N298.3 : Type {4,300}_300 Order 2400 mV = 100 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^300 ] Genus 299 N299.1 : Type {6,36}_36 Order 1944 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-9 * R * S^2 * R^-1 * S^-2 * R * S * T * S^-4 ] N299.2 : Type {6,102}_51 Order 1836 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-26 * R * S * R^-1 * S^-1 * R * S * T * S^-22 ] N299.3 : Type {8,10}_3 Order 2160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-1 * R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-2 * R * S^-1 ] N299.4 : Type {8,10}_10 Order 2160 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^4 * S * R^-2 * T ] N299.5 : Type {9,12}_9 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, S^12, R^-1 * T * S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 * S ] N299.6 : Type {9,12}_9 Order 1944 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R * S^-2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R * S^2, R^-1 * T * S^-1 * R * S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 ] N299.7 : Type {9,12}_9 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 * T ] Genus 300 No non-orientable regular maps of genus 300 Genus 301 N301.1 : Type {4,303}_303 Order 2424 mV = 101 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-303 ] N301.2 : Type {6,26}_3 Order 2028 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-7 * R * S^-1 * R^-2 * S^8 * R^-2 * S^-1 * R * S^-7 ] N301.3 : Type {6,302}_453 Order 1812 mV = 151 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-76 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-67 ] N301.4 : Type {7,12}_3 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^12 ] N301.5 : Type {7,12}_4 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1)^4, S^-1 * R * S^-2 * R^-3 * S^2 * R^-2 * S * T ] N301.6 : Type {7,12}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, S^12, S^3 * R^-1 * S * R^3 * S * R^-1 * S^3 * R^-1 ] N301.7 : Type {7,12}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * T ] N301.8 : Type {7,12}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-2 * S * R^3 * S * R^-1 * S * T, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N301.9 : Type {7,12}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R^2)^2, S^12, S * R * S^-2 * R^-3 * S^-2 * R * S^3, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N301.10 : Type {14,102}_357 Order 1428 mV = 51 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-26 * R^-6 * S^-1 * R * T * S^-24 ] N301.11 : Type {22,62}_341 Order 1364 mV = 31 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-16 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-5 ] Genus 302 N302.1 : Type {4,6}_10 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, 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 * T * R^-2 * S^-3 * R^-2 * S^-3 * R^-2 * S^3 * R^2 * S^3 * R^2 * S^-2, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R ] N302.2 : Type {6,8}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2)^4, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N302.3 : Type {6,8}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2)^4, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 * R * T ] N302.4 : Type {6,8}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^2 * R * S^-2 * R * S^-2 * R^-1 * S^4 * R^-1 * S * R^-1 * S^-1 * T ] N302.5 : Type {6,8}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N302.6 : Type {6,18}_18 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^18 ] N302.7 : Type {6,48}_48 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N302.8 : Type {6,48}_48 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-4 * R^-3 * S^-1 * R^2 * S * T ] N302.9 : Type {6,48}_48 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^-2 * R^2 * S^-1 * R^-3 * S^5 * T ] N302.10 : Type {6,48}_48 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^-1 * R * S^6 * R * S^-2 * R^2 * S^-7 ] N302.11 : Type {10,15}_15 Order 1800 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-15 ] N302.12 : Type {10,15}_15 Order 1800 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^4 * S * R^-3 * S^-1 * T, S^-15 ] N302.13 : Type {10,65}_39 Order 1560 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-2 * T * S^3 * R * S^-1 * R^-2 * S^-7 ] Genus 303 No non-orientable regular maps of genus 303 Genus 304 N304.1 : Type {4,306}_153 Order 2448 mV = 102 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-77 * R^2 * S^-1 * R * S^3 * T * S^-72 ] N304.2 : Type {4,306}_306 Order 2448 mV = 102 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^306 ] N304.3 : Type {8,204}_51 Order 1632 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-26 * R * S * R^-1 * S^-1 * R * S * T * S^-22 ] N304.4 : Type {8,204}_102 Order 1632 mV = 68 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-26 * R^2 * S^-1 * R * S^3 * T * S^-21 ] Genus 305 N305.1 : Type {6,306}_153 Order 1836 mV = 153 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-77 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-68 ] N305.2 : Type {10,154}_385 Order 1540 mV = 77 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-39 * R^5 * S * T * S^-4 * T * S^2 * T * S^-31 ] N305.3 : Type {18,78}_117 Order 1404 mV = 39 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-20 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-11 ] Genus 306 N306.1 : Type {4,80}_80 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^10 * R^-1 * S^-2 * R * S * R^-1 * S^-1 * R * T * S^-2 * R * S^4 ] N306.2 : Type {4,80}_80 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-8 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * T * S^-5 ] N306.3 : Type {4,80}_80 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^20 * R^2 * S^2 * R^-1 * S^-1 * R * T * S^-3 * R * S^14 ] N306.4 : Type {4,80}_80 Order 2560 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^80 ] N306.5 : Type {8,9}_9 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N306.6 : Type {8,9}_9 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S * T * S^-1 * R^-1 * S^2 * R^3 * S^-4 * R^-1 * S ] N306.7 : Type {8,9}_18 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N306.8 : Type {8,9}_18 Order 2304 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S * T * S^-1 * R^-1 * S^2 * R^3 * S^-4 * R^-1 * S ] N306.9 : Type {10,12}_5 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (S^-1 * R)^5, S^-5 * R^5 * S^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N306.10 : Type {10,12}_5 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-5 * R^5 * S^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4, S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R ] N306.11 : Type {10,12}_10 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (S^-1 * R)^5, S^-5 * R^5 * S^-1, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S^2 * T ] N306.12 : Type {10,12}_10 Order 1920 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, S^-5 * R^5 * S^-1, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S^2 * T, (R * S^-2)^4, S^-1 * R * S^-1 * R^-4 * S^-1 * R * S^-1 * R * S^-1 * R ] Genus 307 N307.1 : Type {4,309}_309 Order 2472 mV = 103 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-309 ] Genus 308 N308.1 : Type {6,156}_39 Order 1872 mV = 39 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-20 * R * S^5 * T * R * S * R^-1 * S^-13 ] N308.2 : Type {10,28}_42 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^3 * T * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^6 ] Genus 309 N309.1 : Type {6,310}_465 Order 1860 mV = 155 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-78 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-69 ] N309.2 : Type {30,46}_345 Order 1380 mV = 23 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-6 * R^2 * S^-6 * R^9 * S * T * S^-6 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 310 N310.1 : Type {4,312}_312 Order 2496 mV = 104 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^78 * R^2 * S * R^-1 * S^-3 * T * S^74 ] N310.2 : Type {4,312}_312 Order 2496 mV = 104 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^312 ] N310.3 : Type {6,10}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R * S^-1 * R)^2, S^-1 * T * S * R^2 * S^-3 * R^3 * S^5 * R ] N310.4 : Type {6,10}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2 * R * T ] N310.5 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R^2 * S^-1 * R)^2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T ] N310.6 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-3 * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N310.7 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N310.8 : Type {6,10}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2 * R^2 * S^-1 * R)^2, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N310.9 : Type {6,10}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^3 * R^-1 * S^-1 * R * S^2 ] N310.10 : Type {6,10}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N310.11 : Type {6,10}_11 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * T * S * R * S^-3 * R * S^5 * R^2 * S^2, R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T * R * S^2 ] N310.12 : Type {6,10}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * R * S^-1 * T * S^2 ] N310.13 : Type {6,10}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R * S^-1 * R * S^-3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 * T * S^2 ] N310.14 : Type {6,10}_22 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * T * S * R * S^-3 * R * S^5 * R^-1 * S^2, R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-1 * T * S * R^-1 * S^2 ] N310.15 : Type {6,80}_80 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^2 * R * S^-3 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] N310.16 : Type {6,80}_80 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S * R * S^-7 * R^-1 * S^6 * T * R * S^2 ] N310.17 : Type {8,54}_27 Order 1728 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-14 * R * S * R^-1 * S^-1 * R * S * T * S^-10 ] Genus 311 No non-orientable regular maps of genus 311 Genus 312 N312.1 : Type {3,8}_15 Order 14880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-2 * R * S^-2 * R * S^-2 * R * T * S, S^-1 * R * S^-2 * R^-1 * S^2 * R * S^-3 * R * S^-2 * R * S^-1 * R * S^4 * R * S^-1 * R * S^2 * R^-1 * S^-3 ] N312.2 : Type {4,66}_55 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-6 * T ] Genus 313 N313.1 : Type {4,315}_315 Order 2520 mV = 105 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-315 ] N313.2 : Type {6,314}_471 Order 1884 mV = 157 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-79 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-70 ] N313.3 : Type {10,158}_395 Order 1580 mV = 79 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-40 * R^5 * S * T * S^-4 * T * S^2 * T * S^-32 ] N313.4 : Type {14,106}_371 Order 1484 mV = 53 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-27 * R^-6 * S^-1 * R * T * S^-25 ] N313.5 : Type {26,54}_351 Order 1404 mV = 27 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-14 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 ] Genus 314 N314.1 : Type {3,14}_21 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2, (S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S)^2, S * R^-1 * S^2 * R * S^-3 * R * S^-2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 * T * S^2 ] N314.2 : Type {3,14}_39 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, S * R * S^-6 * R * S^-1 * R * S^7 * R^-1 * S, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^3 * R^-1 * S^3 * R^-1 * S^2, S * R^-1 * S^2 * R^-1 * S^3 * R * S^-3 * R * S^-3 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S ] N314.3 : Type {6,42}_21 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * T ] N314.4 : Type {6,42}_42 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, (R * S^-4 * R * S^-1)^2 ] N314.5 : Type {7,14}_3 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^14 ] N314.6 : Type {7,14}_4 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, S^-1 * T * S * R^3 * S^-1 * R^3 * S^-5 ] N314.7 : Type {7,14}_6 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-2 * S * R^3 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N314.8 : Type {7,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, S^-1 * R * S^-3 * R^2 * S * R^-1 * S^2 * T ] N314.9 : Type {7,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-2 * R^-2 * S * R^3 * S^3 * R^-1 * S * T ] N314.10 : Type {7,14}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S^2 * R^-2, R^-1 * T * S^-1 * R^-2 * S^2 * R^2 * S^2 * R^-2 * S^-2 ] N314.11 : Type {7,14}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-4 * R^-2 * S * R^-2 * S^3, R * S^-4 * R^3 * S * R^-1 * S * R^-1 * S * T ] N314.12 : Type {7,14}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, (R * S^-1)^6 ] N314.13 : Type {7,14}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R, R^-2 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^2 * T ] N314.14 : Type {7,14}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1 * R)^4, (R * S^-4 * R)^2, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N314.15 : Type {7,14}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (R * S^-3 * R)^2, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S^2 * R^-2, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S^-1 * T ] N314.16 : Type {7,14}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-1 * R * S^-1 * R^-3 * S^-2 * R * S^2 * T ] N314.17 : Type {7,14}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^6, S^-3 * R * S^-2 * R * S^3 * R^-1 * T ] N314.18 : Type {7,14}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R * S^-3 * R^-2 * S^-3 * R * S^-1 * R, S^2 * R^-1 * S^2 * R^-1 * S * R^3 * S^-3 * R * T ] N314.19 : Type {20,60}_3 Order 1440 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-4)^2 ] N314.20 : Type {20,60}_6 Order 1440 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-4)^2, R^-8 * S * R^-1 * S^-2 * T ] Genus 315 No non-orientable regular maps of genus 315 Genus 316 N316.1 : Type {4,318}_159 Order 2544 mV = 106 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-80 * R^2 * S^-1 * R * S^3 * T * S^-75 ] N316.2 : Type {4,318}_318 Order 2544 mV = 106 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^318 ] Genus 317 N317.1 : Type {5,8}_20 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S ] N317.2 : Type {6,108}_108 Order 1944 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^27 * R * S^-1 * R * S^2 * R^-1 * T * S^24 ] N317.3 : Type {6,108}_108 Order 1944 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-9 * R * S * R^-2 * S^2 * R^-1 * S^-1 * R * T * S^-5 ] N317.4 : Type {6,108}_108 Order 1944 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-9 * R^-2 * S^-1 * R^2 * S^-3 * T * S^2 * R^-1 * S^-3 ] N317.5 : Type {6,318}_159 Order 1908 mV = 159 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-80 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-71 ] N317.6 : Type {8,12}_5 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^12, R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-3 * S ] N317.7 : Type {8,12}_15 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T, S^12, R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 ] N317.8 : Type {8,12}_15 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * T, S^-1 * T * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-1 ] Genus 318 N318.1 : Type {10,42}_28 Order 1680 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-3 * R^2 * S^-4 * R^2 * S^-7 ] N318.2 : Type {10,42}_35 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^-2 * S * R^-2 * S^5 * T ] N318.3 : Type {10,42}_70 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * T * S^-1 * R^-1 * S * R^-4 * S^-1 * R^3 * S, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^4 * T * S^-4 ] Genus 319 N319.1 : Type {4,321}_321 Order 2568 mV = 107 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-321 ] Genus 320 N320.1 : Type {12,66}_33 Order 1584 mV = 11 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-17 * R * S * R^-1 * S^-1 * R * S * T * S^-13 ] N320.2 : Type {24,60}_15 Order 1440 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^7 * R * S^-1 * R^-1 * S^5 * T * S^-1 * R * S ] N320.3 : Type {24,60}_30 Order 1440 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^-1 * S^4 * R^-2 * S^3 * T * S^-4 ] Genus 321 N321.1 : Type {6,322}_483 Order 1932 mV = 161 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-81 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-72 ] N321.2 : Type {10,162}_405 Order 1620 mV = 81 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-41 * R^5 * S * T * S^-4 * T * S^2 * T * S^-33 ] N321.3 : Type {18,82}_369 Order 1476 mV = 41 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-21 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-12 ] N321.4 : Type {22,66}_33 Order 1452 mV = 33 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-17 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-6 ] N321.5 : Type {34,42}_357 Order 1428 mV = 21 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^6 * T * S^-4 * T * S * R^-13 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 322 N322.1 : Type {4,6}_10 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * 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, S^-1 * T * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ] N322.2 : Type {4,6}_10 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * 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, S * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^2 * R * T * S ] N322.3 : Type {4,9}_9 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N322.4 : Type {4,9}_9 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N322.5 : Type {4,9}_9 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N322.6 : Type {4,12}_5 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T, (R * S^-1)^6, S^12 ] N322.7 : Type {4,12}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^12, S * R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-1 * R * S, S^2 * R^-1 * S * R * S^-3 * R^-1 * S^4 * R^-1 * S^-1 * T * S ] N322.8 : Type {4,14}_7 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] N322.9 : Type {4,14}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1 * T ] N322.10 : Type {4,14}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1, S^14 ] N322.11 : Type {4,14}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T, S^14 ] N322.12 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, S^2 * R * S^-5 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, (R * S^-1)^8, S^-1 * T * S * R^-1 * S^2 * R * S^-1 * R * S^-7 ] N322.13 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1)^8 ] N322.14 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3, S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^5 * R^-1 * S^-1 * R * T * S^-1 ] N322.15 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^24 ] N322.16 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^-1 * T * S * R * S^-2 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N322.17 : Type {4,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R * S^-3 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * T ] N322.18 : Type {4,84}_84 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^23 * R^-1 * S^-2 * R * S * T * S^-1 * R * S^15 ] N322.19 : Type {4,84}_84 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^84 ] N322.20 : Type {4,324}_324 Order 2592 mV = 108 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^81 * R^2 * S * R^-1 * S^-3 * T * S^77 ] N322.21 : Type {4,324}_324 Order 2592 mV = 108 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^324 ] N322.22 : Type {6,6}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N322.23 : Type {6,6}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T ] N322.24 : Type {6,6}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2)^4, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T, S^-2 * R^-2 * S^-3 * R^2 * S^3 * R^-2 * S * T ] N322.25 : Type {6,6}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-2)^4, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T ] N322.26 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^3 * R * S^-1 * R^-2 * S^-2 * R * S * R^-2 * T ] N322.27 : Type {6,8}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N322.28 : Type {8,216}_216 Order 1728 mV = 72 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^27 * R^2 * S^4 * T * R * S^23 ] N322.29 : Type {8,216}_216 Order 1728 mV = 72 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^27 * R * S^-1 * R^2 * S^-2 * T * S^24 ] N322.30 : Type {12,12}_6 Order 1920 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^3 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S^2 * R^-1 * S, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-3 * R^5 * S^-3 * R * S * T ] Genus 323 No non-orientable regular maps of genus 323 Genus 324 N324.1 : Type {6,26}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, R^-1 * S * R^2 * S^-1 * R^-2 * S^5 ] N324.2 : Type {6,26}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-4 * R)^2 ] N324.3 : Type {6,26}_7 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T, S^-6 * R^3 * S^-7, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] N324.4 : Type {6,26}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N324.5 : Type {6,26}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * S * R^2 * S^-1 * R^-2 * S^5 ] N324.6 : Type {6,26}_14 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^-6 * R^3 * S^-7, S^3 * R * S^-4 * R^-2 * S^5 * R^-1 * S^-1 * T * S^2 ] N324.7 : Type {6,164}_123 Order 1968 mV = 41 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-21 * R^2 * S^-2 * R * S^2 * T * S^-16 ] N324.8 : Type {36,40}_45 Order 1440 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6, R * S^-1 * R^-1 * S * R^5 * S^-2 * R * S * R^-1 * T ] N324.9 : Type {36,40}_90 Order 1440 mV = 10 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-2 * R^-1 * S * R^-2 * S * R^-1 * S^-6, S^-1 * R^8 * S^-2 * R * S * T * S^-1 ] Genus 325 N325.1 : Type {4,38}_4 Order 2888 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S * R^-2 * S^-1 * R * S^-3 * R * S^-1 * T * S^2 * R^-1 * S * R^-1 * S^5 * R^-1 * S ] N325.2 : Type {4,327}_327 Order 2616 mV = 109 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-327 ] N325.3 : Type {5,9}_5 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S^-1 * T ] N325.4 : Type {5,9}_10 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N325.5 : Type {6,326}_489 Order 1956 mV = 163 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-82 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-73 ] N325.6 : Type {8,9}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S^-2 * R^-3 * S * R^3 * S * R^-3 * S^-1, R^-1 * S * R^-3 * S * R^2 * S^4 * T ] N325.7 : Type {8,9}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * T, S * R^-3 * S * R * S^-1 * R * S * R^-1 * S^-2 * T, R^-1 * S^2 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1 * S ] N325.8 : Type {8,9}_9 Order 2448 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^4 * S * R^-2 * T ] N325.9 : Type {8,9}_17 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^3 * S^-1 * R^3 * S^2 * R^-1 * S^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] N325.10 : Type {14,110}_385 Order 1540 mV = 55 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-28 * R^-6 * S^-1 * R * T * S^-26 ] N325.11 : Type {38,38}_19 Order 1444 mV = 19 mF = 19 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-1 * S * R * S^-2 * T * S^4 * T * S^-1 * R^-10 * S^-3 * T * S * R^2 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S^2 ] Genus 326 N326.1 : Type {3,10}_10 Order 9720 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^-2 * R^-1 * S^3 * R^-1 * S^-5 * R^-1 * S^3 * R^-1 * S^5 * R^-1 * T * S^-2 ] N326.2 : Type {4,10}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, R^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2 ] N326.3 : Type {4,10}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N326.4 : Type {4,10}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^-1 * S^2 * R^-1 * S * R^2 * S * R^-1 * S^2 * R^-1 * S, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N326.5 : Type {4,85}_85 Order 2720 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-85 ] N326.6 : Type {6,30}_15 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^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, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-3 * R^-2 * S * R * S^-1 * R^3 * S^-5 ] N326.7 : Type {10,10}_4 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2, (S^-1 * R^2 * S^-1)^3, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N326.8 : Type {10,10}_8 Order 2160 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N326.9 : Type {10,16}_48 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S^-1 * T * S ] N326.10 : Type {10,16}_48 Order 1920 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^16 ] N326.11 : Type {10,70}_21 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-1 * S^3 * R^-2 * S^4 * T ] N326.12 : Type {10,70}_42 Order 1680 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S^5 * T * R * S^2 ] Genus 327 N327.1 : Type {3,8}_13 Order 15600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T * S^-1, S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^4 * R * S^-1 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] Genus 328 N328.1 : Type {4,330}_165 Order 2640 mV = 110 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-83 * R^2 * S^-1 * R * S^3 * T * S^-78 ] N328.2 : Type {4,330}_330 Order 2640 mV = 110 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^330 ] Genus 329 N329.1 : Type {6,330}_165 Order 1980 mV = 165 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-83 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-74 ] N329.2 : Type {10,166}_415 Order 1660 mV = 83 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-42 * R^5 * S * T * S^-4 * T * S^2 * T * S^-34 ] Genus 330 N330.1 : Type {6,85}_85 Order 2040 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^6 * R * S^-3 * R * S^6 * R^-1 * S^-1 * R^3 * S ] N330.2 : Type {8,30}_15 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R^-1 * S * R * S^-6 * R^-2 * S^-1 * R^2 * S^-2 * T * S^2 * R^-1 * S^-3 ] N330.3 : Type {8,30}_30 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^30 ] N330.4 : Type {8,30}_30 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^30 ] N330.5 : Type {8,30}_30 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-8 * T * R^-1 * S^-2 ] N330.6 : Type {8,30}_30 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^30 ] N330.7 : Type {8,30}_30 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^30 ] Genus 331 N331.1 : Type {4,333}_333 Order 2664 mV = 111 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-333 ] N331.2 : Type {14,18}_9 Order 1764 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^-2 * S^-5 * T, R^14 ] Genus 332 N332.1 : Type {6,6}_15 Order 3960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S * T ] N332.2 : Type {6,12}_5 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 ] N332.3 : Type {6,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, S * R * S^-1 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S * R^-1, R * S^-5 * R^2 * S^2 * R^-1 * S^-2 * T ] N332.4 : Type {6,12}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^-2 * T * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N332.5 : Type {6,12}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^-2 * T * R * S^-4 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-3 ] N332.6 : Type {6,12}_11 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^2 * R^-2 * S * R * S^-1 * R * S^-3 * R * T ] N332.7 : Type {6,12}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1, S^2 * R * T * S * R^-1 * S^2 * R * S^-2 * R * S^6 * R^-1 * S ] N332.8 : Type {6,12}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^12, S^2 * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N332.9 : Type {6,12}_22 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N332.10 : Type {6,36}_45 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R * T * S * R * S^-1 * R^-1 * S * R^2 * S^6 ] Genus 333 N333.1 : Type {6,334}_501 Order 2004 mV = 167 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-84 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-75 ] Genus 334 N334.1 : Type {4,336}_336 Order 2688 mV = 112 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^84 * R^2 * S * R^-1 * S^-3 * T * S^80 ] N334.2 : Type {4,336}_336 Order 2688 mV = 112 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^336 ] Genus 335 N335.1 : Type {6,114}_57 Order 2052 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-29 * R^-1 * S^2 * R^-1 * S^-3 * T * S * R * S^-22 ] N335.2 : Type {8,15}_4 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-4)^2, R^3 * S^-2 * R^3 * S^2 * R^-1 * S^2 * T, (R * S^-1 * R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R^-1 * S * R^2 * S^-2 * R^2 * S^-2 ] N335.3 : Type {8,15}_12 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-4)^2, R * S^-1 * R^-3 * S * R^2 * S * R^-1 * S * R^-1 * S, R^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^2 * R^-1 ] N335.4 : Type {8,15}_12 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-2, S * T * S^-1 * R^-1 * S^2 * R^3 * S^-2 * R^3 * S ] N335.5 : Type {18,30}_15 Order 1620 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^7 * R * S^-1 * R * S * R^-1 * S^-3 * R * T * S^-1 * R * S^2 ] N335.6 : Type {18,30}_45 Order 1620 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^-1 * R^3 * S^6 * R * S^-1 * R^-5 * S^4 * T * S^-3 ] N335.7 : Type {18,30}_45 Order 1620 mV = 5 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-4 * R^-1 * S^4 * R^4 * S^5 * T * S^-2 ] Genus 336 N336.1 : Type {12,136}_51 Order 1632 mV = 34 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-9 * R^-4 * S^-2 * T * S^4 * R^-1 * S^-2 ] N336.2 : Type {12,136}_102 Order 1632 mV = 34 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-9 * R^-1 * S^2 * R^-1 * S^-2 * T * S^2 * R * S^-2 ] N336.3 : Type {18,44}_99 Order 1584 mV = 11 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^3 * S^-4 * R^5 * S * R^-1 * S^-3 * T * S^3 ] Genus 337 N337.1 : Type {4,339}_339 Order 2712 mV = 113 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-339 ] N337.2 : Type {6,70}_21 Order 2100 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-3 * R * S^-1 * R^-2 * S^5 * T ] N337.3 : Type {6,338}_507 Order 2028 mV = 169 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-85 * R^-2 * S^-6 * R^-1 * S^2 * T * S^-76 ] N337.4 : Type {10,36}_36 Order 1800 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^-9 * R^3 * S * R^-2 * S * T * R * S^3 * R * S^-4 ] N337.5 : Type {10,170}_85 Order 1700 mV = 85 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-43 * R^4 * S^-2 * T * R^-1 * S^-3 * T * S^2 * T * S^-35 ] N337.6 : Type {14,114}_399 Order 1596 mV = 57 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-29 * R^-6 * S^-1 * R * T * S^-27 ] N337.7 : Type {18,86}_387 Order 1548 mV = 43 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-22 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-13 ] N337.8 : Type {26,58}_377 Order 1508 mV = 29 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-15 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 ] N337.9 : Type {30,50}_75 Order 1500 mV = 25 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^7 * R^-1 * S^-6 * R^-8 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 338 N338.1 : Type {3,34}_9 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2 ] N338.2 : Type {3,34}_18 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * T * R^-1 * S^4 * R * S^-3 * R * S^3, S^-1 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S^-1 ] N338.3 : Type {4,6}_24 Order 8064 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^8, R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S, S * R * S^-1 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S * R^-1 * S^-1 * T * S ] N338.4 : Type {4,12}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^12, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^3 * R^-1 * S^-1 * R * T ] N338.5 : Type {4,12}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (R * S^-5)^2, S^12 ] N338.6 : Type {5,6}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-2 * R * S^3 * R^-1 * T, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 * T ] N338.7 : Type {5,8}_24 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-3 * R^2 * S^2 * R^-1 * S^-2 * T ] N338.8 : Type {5,8}_24 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^-1 * S * R^2 * S^4 * R^-2 * S^-1, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S * T * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^2 * R^-1 * S ] N338.9 : Type {6,9}_21 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^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^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * T ] N338.10 : Type {8,8}_8 Order 2688 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-1)^6, S^-2 * R^-2 * S * R^-2 * S^-1 * R * S * R^-3 * T ] N338.11 : Type {8,8}_8 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S^4 * T, (R * S^-1)^6, S^-1 * R^3 * S^-1 * R^3 * S * R^-1 * S * R^-1 * S * T ] N338.12 : Type {8,8}_56 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-2 * S^-1 * R^3 * S^-1 * R * S * T ] N338.13 : Type {8,8}_56 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S * T * S^-1 * R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R * S * R^-1 ] N338.14 : Type {8,12}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] N338.15 : Type {8,12}_8 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-1)^6, S^12, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^3 * S, R * S^-4 * R^3 * S * R^-2 * S^-2 * T ] N338.16 : Type {8,24}_3 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] N338.17 : Type {8,24}_24 Order 2016 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-3 * R)^2 ] N338.18 : Type {12,36}_9 Order 1728 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^-1 * T * S * R * S^-2 * R^3 * S^4 * R^-1 * S^-1 ] Genus 339 No non-orientable regular maps of genus 339 Genus 340 N340.1 : Type {4,342}_171 Order 2736 mV = 114 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-86 * R^2 * S^-1 * R * S^3 * T * S^-81 ] N340.2 : Type {4,342}_342 Order 2736 mV = 114 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^342 ] N340.3 : Type {6,172}_129 Order 2064 mV = 43 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-22 * R * S^5 * T * R * S * R^-1 * S^-15 ] N340.4 : Type {8,228}_57 Order 1824 mV = 76 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-29 * R^2 * S^-1 * R * S^3 * T * S^-24 ] N340.5 : Type {8,228}_114 Order 1824 mV = 76 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-29 * R^-2 * S^-4 * T * R^-1 * S^-24 ] Genus 341 N341.1 : Type {6,116}_116 Order 2088 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^29 * R * S^-1 * R * S^2 * R^-1 * T * S^26 ] N341.2 : Type {6,342}_171 Order 2052 mV = 171 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-86 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-76 ] N341.3 : Type {22,70}_385 Order 1540 mV = 35 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-18 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-7 ] Genus 342 N342.1 : Type {4,6}_17 Order 8160 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, S^-2 * R * S^-2 * R * S^-2 * R * S^3 * R^-1 * S^2 * R^-1 * T ] N342.2 : Type {4,9}_17 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, R^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2 ] N342.3 : Type {4,9}_34 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N342.4 : Type {6,20}_20 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-5 * T * S ] N342.5 : Type {6,20}_20 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^20 ] N342.6 : Type {6,88}_33 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^6 * T ] N342.7 : Type {9,9}_8 Order 2448 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N342.8 : Type {9,9}_8 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] Genus 343 N343.1 : Type {4,345}_345 Order 2760 mV = 115 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-345 ] Genus 344 N344.1 : Type {5,10}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N344.2 : Type {6,60}_15 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-4 * R, S^3 * R * S^-5 * R^-1 * S^4 * R^-1 * S^-1 * T * S^2 ] Genus 345 N345.1 : Type {6,346}_519 Order 2076 mV = 173 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-87 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-77 ] N345.2 : Type {10,174}_435 Order 1740 mV = 87 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-44 * R^2 * S^-4 * T * S * R^2 * T * S^-1 * R * S^2 * T * S^-35 ] Genus 346 N346.1 : Type {4,90}_45 Order 2880 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-23 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-18 ] N346.2 : Type {4,90}_90 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^90 ] N346.3 : Type {4,90}_90 Order 2880 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^90 ] N346.4 : Type {4,348}_348 Order 2784 mV = 116 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^87 * R^2 * S * R^-1 * S^-3 * T * S^83 ] N346.5 : Type {4,348}_348 Order 2784 mV = 116 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^348 ] N346.6 : Type {8,60}_15 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^7 * R * S^-1 * R^-2 * S^-6 * T * S ] N346.7 : Type {8,60}_15 Order 1920 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-6 * T * R^-1 * S^-2 ] N346.8 : Type {8,60}_30 Order 1920 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^8 * R^-2 * S^4 * R^-1 * S^-1 * T * S^2 ] N346.9 : Type {8,60}_30 Order 1920 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, R^-1 * S * R * S^-6 * R^-2 * S^-1 * R * S^3 * T * S^-4 ] N346.10 : Type {8,60}_60 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^15 * R^4 * S^15 ] N346.11 : Type {8,60}_60 Order 1920 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^15 * R^4 * S^15 ] N346.12 : Type {8,60}_60 Order 1920 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^15 * R^3 * S^-5 * R * S^10 ] N346.13 : Type {8,60}_60 Order 1920 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^15 * R^3 * S^-5 * R * S^10 ] N346.14 : Type {10,24}_15 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2 ] N346.15 : Type {10,24}_30 Order 1920 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-2 * R^-3 * S^2 * R^-3 * T ] Genus 347 No non-orientable regular maps of genus 347 Genus 348 No non-orientable regular maps of genus 348 Genus 349 N349.1 : Type {4,351}_351 Order 2808 mV = 117 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-351 ] N349.2 : Type {6,350}_525 Order 2100 mV = 175 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-88 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-78 ] N349.3 : Type {14,118}_413 Order 1652 mV = 59 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-30 * R^-6 * S^-1 * R * T * S^-28 ] Genus 350 N350.1 : Type {6,90}_45 Order 2160 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N350.2 : Type {6,90}_90 Order 2160 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^6 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-6 * R * S^3 ] N350.3 : Type {7,26}_3 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^2 * R^-1 * S^2)^3 ] N350.4 : Type {7,26}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R^-1 * T * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * S ] N350.5 : Type {7,26}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-1 * R^-3 * S^5 * T ] N350.6 : Type {7,26}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^-2 * S * R^3 * S^5 * T ] N350.7 : Type {7,26}_13 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T ] N350.8 : Type {7,26}_26 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (S^-1 * R^2 * S^-1)^3, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-4, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N350.9 : Type {18,24}_9 Order 1728 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^-8 * S^-1 * R * S^2 * T, (R * S^-1)^8 ] Genus 351 No non-orientable regular maps of genus 351 Genus 352 N352.1 : Type {3,13}_13 Order 7800 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-13, R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * T ] N352.2 : Type {4,354}_177 Order 2832 mV = 118 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-89 * R^2 * S^-1 * R * S^3 * T * S^-84 ] N352.3 : Type {4,354}_354 Order 2832 mV = 118 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^354 ] N352.4 : Type {6,28}_3 Order 2352 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-8 * R * S^-1 * R^-2 * S^8 * R^-2 * S^-1 * R * S^-8 ] Genus 353 N353.1 : Type {6,42}_63 Order 2268 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-11 * R * S^3 * R^-1 * S^-2 * T * S * R^-1 * S^-4 ] N353.2 : Type {6,42}_63 Order 2268 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-11 * R * S^3 * R^-1 * S^-2 * T * S * R^-1 * S^-4 ] N353.3 : Type {6,354}_177 Order 2124 mV = 177 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-89 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-79 ] N353.4 : Type {10,178}_445 Order 1780 mV = 89 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-45 * R^2 * S^-4 * T * S * R^2 * T * S^-1 * R * S^2 * T * S^-36 ] N353.5 : Type {12,18}_4 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2 * R * S^-1)^2, R^12, R^2 * S^-2 * R^3 * S^-2 * R * S^-1 * T ] N353.6 : Type {12,18}_4 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, R^12, (R * S^-4 * R)^2 ] N353.7 : Type {12,18}_4 Order 1944 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^12, S^-5 * R * S^-3 * R^-2 * S^3 * R^-1 * S * R^-1 * T * S^-1 * R ] N353.8 : Type {12,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R^2 * S^-2 * R^3 * S^-2 * R * S^-1 * T ] N353.9 : Type {12,18}_12 Order 1944 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, S^-2 * R^5 * S^-2 * R * S * T, S * R^2 * S^-1 * R^4 * S^-1 * R^2 * S^3 ] N353.10 : Type {12,18}_12 Order 1944 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, S^2 * R^-1 * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^2 * R^-1 * S^-1 * T * S^2 * R^-1 ] N353.11 : Type {12,18}_12 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2, S^2 * R^2 * S^-1 * R^3 * S^-4 * R * T ] N353.12 : Type {12,18}_12 Order 1944 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R^12 ] N353.13 : Type {12,18}_12 Order 1944 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R)^2, R^12, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * T * S^-1 * R * S^-2 ] N353.14 : Type {18,90}_45 Order 1620 mV = 45 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-23 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-14 ] N353.15 : Type {34,46}_391 Order 1564 mV = 23 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-7 * T * R * S^-1 * R^-2 * S^-1 * T * S^3 * R^10 * S * T * S^-6 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 354 N354.1 : Type {4,15}_15 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^5 * R^-1, S^-15 ] N354.2 : Type {4,15}_30 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * T, S^-15 ] N354.3 : Type {12,20}_15 Order 1920 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^-1 * S * R^-2 * S^2 * R^-2 * T, R^12, S^-3 * R^5 * S^-4 * R * S^-1 ] N354.4 : Type {12,20}_30 Order 1920 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^12, R^2 * S^-3 * R^-2 * S * R^-1 * S^3 * T ] Genus 355 N355.1 : Type {4,357}_357 Order 2856 mV = 119 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-357 ] Genus 356 N356.1 : Type {6,180}_45 Order 2160 mV = 45 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-23 * R^2 * S^-2 * R * S^2 * T * S^-18 ] N356.2 : Type {8,42}_3 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^6 ] N356.3 : Type {8,42}_6 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1)^6, S^-1 * T * R^-2 * S * R^-2 * S^2 * R^-1 * S^3 * R^-1 * S^-1 * R ] N356.4 : Type {8,42}_12 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3 ] N356.5 : Type {8,42}_12 Order 2016 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, R^-1 * S^2 * R^-1 * S * R^-2 * S * R^-1 * S^3 * T ] Genus 357 N357.1 : Type {6,358}_537 Order 2148 mV = 179 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-90 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-80 ] Genus 358 N358.1 : Type {4,360}_360 Order 2880 mV = 120 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^90 * R^2 * S * R^-1 * S^-3 * T * S^86 ] N358.2 : Type {4,360}_360 Order 2880 mV = 120 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^360 ] N358.3 : Type {8,240}_240 Order 1920 mV = 80 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^30 * R^-1 * S^-1 * R * S^4 * R^-1 * T * S^25 ] N358.4 : Type {8,240}_240 Order 1920 mV = 80 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^30 * R * S^-1 * R^2 * S^-2 * T * S^27 ] Genus 359 No non-orientable regular maps of genus 359 Genus 360 N360.1 : Type {20,42}_105 Order 1680 mV = 7 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^9 * S^-2 * R * S^-2, S^-11 * R^3 * S^3 * T * R * S * R^-1 * S^-6 ] Genus 361 N361.1 : Type {4,363}_363 Order 2904 mV = 121 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-363 ] N361.2 : Type {6,362}_543 Order 2172 mV = 181 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-91 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-81 ] N361.3 : Type {10,182}_455 Order 1820 mV = 91 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-46 * R * S^5 * T * R^3 * T * S^-1 * R * S^2 * T * S^-37 ] N361.4 : Type {14,122}_427 Order 1708 mV = 61 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-31 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * S^-23 ] N361.5 : Type {22,74}_407 Order 1628 mV = 37 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-19 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-8 ] N361.6 : Type {26,62}_403 Order 1612 mV = 31 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-16 * R^-6 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-3 ] N361.7 : Type {38,42}_399 Order 1596 mV = 21 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S^-1 * R * S^2 * T * S^-4 * T * S * R^-13 * S^-1 * R * T * S^-6 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 362 N362.1 : Type {4,6}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1, S * T * R * S^-1 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^3 * R * S^-2 * R^-1 * S ] N362.2 : Type {4,6}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, R^-1 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^-1 ] N362.3 : Type {4,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^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^-2 * R * S^-1 * R * S^-1)^2, S^-2 * T * R * S^-2 * R * S^-2 * R * S^4 * R^2 * S * R^-1 * S^-1 * R ] N362.4 : Type {4,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N362.5 : Type {5,10}_5 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] N362.6 : Type {6,6}_5 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1 * R)^4 ] N362.7 : Type {6,6}_10 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (R * S^-2)^4, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-2 * S * T, S^-1 * R * S^-1 * R * S^-2 * R^2 * S^3 * R^-2 * S * T ] N362.8 : Type {6,6}_15 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S * R * S^-1 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^-2, S^2 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S^-1 * T * R^-1 * S ] N362.9 : Type {6,8}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S^4 * R^-1, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N362.10 : Type {6,8}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N362.11 : Type {6,8}_24 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-2 * R^-2 * S * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * R ] N362.12 : Type {6,12}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^12, S^3 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N362.13 : Type {6,48}_3 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-2 * S * R^2 * S^-3 * R * T * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] N362.14 : Type {8,8}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-1)^6, R^-1 * S^2 * R * S^-1 * R^3 * S^-1 * R * S^2 * R^-2, S^-2 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * T ] N362.15 : Type {8,8}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S^4 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-3 * S * R^-4 * S^-1 * R^3 * S^-1 * T ] N362.16 : Type {10,15}_5 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R * S^-2 * R^-4 * S^2 * R^-3 * S ] N362.17 : Type {10,15}_15 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N362.18 : Type {10,15}_15 Order 2160 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^5 * S * R^-3 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-3 * R * S^-1 * R^-2 * S^3 * R^-2 * T ] N362.19 : Type {14,14}_9 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R^-1 * S * R^-4 * S * R^-2 * S^-1 * T ] N362.20 : Type {14,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N362.21 : Type {14,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^2 * R * S^-1 * R^-3 * S^2 * R^-2 * S^-1 * T ] N362.22 : Type {14,14}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2 ] N362.23 : Type {24,24}_24 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2, S^-4 * R^3 * S * R^-2 * S * T ] N362.24 : Type {24,24}_24 Order 1728 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2 ] Genus 363 No non-orientable regular maps of genus 363 Genus 364 N364.1 : Type {4,366}_183 Order 2928 mV = 122 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-92 * R^2 * S^-1 * R * S^3 * T * S^-87 ] N364.2 : Type {4,366}_366 Order 2928 mV = 122 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^366 ] N364.3 : Type {28,30}_105 Order 1680 mV = 5 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S * R^10 * S * R^-2 * S^-2 * R^-1, S^5 * R * S^-1 * R^-1 * T * S^-1 * R^-5 * S^8 ] Genus 365 N365.1 : Type {4,15}_33 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, (R^-1 * S * R^-1 * S^2)^3 ] N365.2 : Type {6,124}_124 Order 2232 mV = 31 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^31 * R * S^-1 * R * S^2 * R^-1 * T * S^28 ] N365.3 : Type {6,366}_183 Order 2196 mV = 183 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-92 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-82 ] N365.4 : Type {30,54}_135 Order 1620 mV = 27 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-8 * R * S^6 * R^8 * S * T * S^-6 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 366 N366.1 : Type {4,12}_7 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T ] N366.2 : Type {4,12}_13 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S^2 * T ] N366.3 : Type {4,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-3 * R * S^-2)^2, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-2 ] N366.4 : Type {4,12}_26 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S * T * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N366.5 : Type {4,30}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (R * S^-5)^2, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] N366.6 : Type {4,95}_95 Order 3040 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-95 ] N366.7 : Type {6,16}_24 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-1)^2, S^-4 * R * S^-1 * R * S^2 * R^-1 * S * T, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] N366.8 : Type {6,16}_24 Order 2688 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-3 * R * S^-1)^2, S * R^-2 * S * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * T ] N366.9 : Type {10,48}_16 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, R * S^-4 * R^3 * S^2 * R^-1 * S^-2 * T ] N366.10 : Type {10,48}_16 Order 1920 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S * R * S^-7 * R^-2 * S^-7 * R * S ] N366.11 : Type {10,48}_80 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S * T * S^-1 ] N366.12 : Type {10,48}_80 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^7 * R * S^-1 * R^2 * S^-1 * R^2 * S^-3 * T * S^4 ] N366.13 : Type {12,12}_14 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, R^12, R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * T, R * S^-1 * R * S^-2 * R^2 * S * R^-1 * S^2 * T ] N366.14 : Type {12,12}_14 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, R^3 * S^-1 * R^3 * S^-1 * R * S^2 * T, S^-1 * R * S^-3 * R^2 * S * R^-1 * S^2 * T ] Genus 367 N367.1 : Type {4,369}_369 Order 2952 mV = 123 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-369 ] Genus 368 No non-orientable regular maps of genus 368 Genus 369 N369.1 : Type {6,370}_555 Order 2220 mV = 185 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-93 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-83 ] N369.2 : Type {10,186}_465 Order 1860 mV = 93 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-47 * R * S^5 * T * R^3 * T * S^-1 * R * S^2 * T * S^-38 ] N369.3 : Type {18,94}_423 Order 1692 mV = 47 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-24 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-15 ] Genus 370 N370.1 : Type {4,27}_27 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-2 * R * S^3 * R^-1 * S * T, S^-27 ] N370.2 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^14 * R^-1 * S^-2 * R * S * T * S^-1 * R * S^6 ] N370.3 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^-8 * R^-1 * S^4 * R * S^-3 * R * S * T * S^-8 ] N370.4 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^26 * R^-1 * S^-2 * R * S * T * S^-1 * R * S^18 ] N370.5 : Type {4,96}_96 Order 3072 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^96 ] N370.6 : Type {4,372}_372 Order 2976 mV = 124 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^93 * R^2 * S * R^-1 * S^-3 * T * S^89 ] N370.7 : Type {4,372}_372 Order 2976 mV = 124 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^372 ] N370.8 : Type {6,95}_95 Order 2280 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^10 * R^-1 * S^-3 * R * S^3 * T * R * S^3 ] N370.9 : Type {8,18}_9 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^-6 * R^4 * S^-3, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N370.10 : Type {8,18}_9 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-6 * R^4 * S^-3, S * T * S^-1 * R^-1 * S^2 * R^3 * S^-3 * R * S^2 ] N370.11 : Type {8,18}_18 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^-6 * R^4 * S^-3, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N370.12 : Type {8,18}_18 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^-6 * R^4 * S^-3, S * T * S^-1 * R^-1 * S^2 * R^3 * S^-3 * R * S^2 ] N370.13 : Type {8,18}_18 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^18 ] N370.14 : Type {8,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^18 ] N370.15 : Type {8,18}_36 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^18 ] Genus 371 N371.1 : Type {4,45}_45 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, R * S^-2 * R^-1 * S^10 * R^-1 * S^-1 * T * S^2 ] N371.2 : Type {6,44}_132 Order 2376 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^11 * R * S^-1 * R * S^5 * T * S^-1 * R * S^4 ] N371.3 : Type {6,126}_21 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-11 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-6 ] N371.4 : Type {6,126}_63 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-32 * R^2 * S^-4 * R * S * T * S^-26 ] N371.5 : Type {6,126}_63 Order 2268 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-11 * R^2 * S^-4 * R * S * T * S^-5 ] Genus 372 N372.1 : Type {4,78}_65 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^-3 * R^-1 * S * R * S^-3 * R^2 * S^-4 * R * S * T * S^-1 ] N372.2 : Type {6,40}_5 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N372.3 : Type {6,40}_10 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^3 * R^2 * S^-1 * R^3 * S^-2 * R * S * R^-1 * T, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] N372.4 : Type {6,188}_141 Order 2256 mV = 47 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-24 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-19 ] Genus 373 N373.1 : Type {4,375}_375 Order 3000 mV = 125 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-375 ] N373.2 : Type {6,374}_561 Order 2244 mV = 187 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-94 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-84 ] N373.3 : Type {12,13}_4 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R)^2, R^12, S^-1 * R * S^-3 * R^-2 * S * R^-1 * S^3 * T, R * S^-2 * R * S^-1 * R^4 * S^-1 * R^4 * S^-1 ] N373.4 : Type {12,13}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^12, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R^-6 * S * R^-1 * S^2 * R^-1 * T, R^2 * S^-1 * R^-4 * S^-1 * R^2 * S^-3 ] N373.5 : Type {14,20}_20 Order 1960 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^14, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S^-2 * R * S * T * S^-2 ] N373.6 : Type {14,126}_63 Order 1764 mV = 63 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-32 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * S^-24 ] Genus 374 N374.1 : Type {4,5}_16 Order 14880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^5, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * T, (S^-1 * R * S^-1 * R * S^-2 * R)^3 ] N374.2 : Type {10,18}_36 Order 2160 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-18 ] N374.3 : Type {10,18}_45 Order 2160 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R * S^-2 * T * S * R^-2 * S * R^4 * S * R^-2 * S^4 ] N374.4 : Type {10,18}_90 Order 2160 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^18 ] N374.5 : Type {10,80}_48 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-3 * R^-1 * S * R^2 * S^4 * T ] N374.6 : Type {10,80}_48 Order 1920 mV = 16 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-2 * R^-1 * S^6 * R^4 * S^6 * R^-1 * S^-2 ] N374.7 : Type {16,20}_48 Order 1920 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-1 * R^2 * S^-2 * R^3 * S^2 * R^-1 * S^2 * T ] N374.8 : Type {16,20}_48 Order 1920 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * T ] Genus 375 No non-orientable regular maps of genus 375 Genus 376 N376.1 : Type {4,378}_189 Order 3024 mV = 126 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-95 * R^2 * S^-1 * R * S^3 * T * S^-90 ] N376.2 : Type {4,378}_378 Order 3024 mV = 126 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^378 ] N376.3 : Type {8,252}_63 Order 2016 mV = 84 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-32 * R^-2 * S^-4 * T * R^-1 * S^-27 ] N376.4 : Type {8,252}_126 Order 2016 mV = 84 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-32 * R^2 * S^-1 * R * S^4 * T * S^-26 ] N376.5 : Type {12,152}_57 Order 1824 mV = 38 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-10 * R * S^5 * T * R * S * R^-1 * S^-3 ] N376.6 : Type {12,152}_114 Order 1824 mV = 38 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-10 * R^4 * S^-1 * R * S * T * S^-7 ] Genus 377 N377.1 : Type {4,5}_30 Order 15000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^5, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 * T, S * R^-1 * S * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * T * S * R^-1 * S * R^-1 ] N377.2 : Type {5,5}_15 Order 7500 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^5, S^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * T, R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^-2 * S^-2 * R^-1 * S * R * S^-1 ] N377.3 : Type {6,378}_189 Order 2268 mV = 189 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-95 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-85 ] N377.4 : Type {10,10}_5 Order 2500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-3 * R^2)^2 ] N377.5 : Type {10,190}_95 Order 1900 mV = 95 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-48 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-39 ] Genus 378 N378.1 : Type {12,40}_15 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-2 * R * S^-1 * R^-2 * S^4 * T ] N378.2 : Type {12,40}_30 Order 1920 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-3 * R^-4 * S * R^-1 * S^3 * T ] N378.3 : Type {14,18}_3 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^3)^2, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] N378.4 : Type {14,18}_6 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R^3)^2, S^-5 * R^2 * S * R^-1 * S^2 * T ] N378.5 : Type {14,18}_6 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R^3)^2, R * T * S * R^3 * S^-1 * R^3 * S^-1 * R * S^-3 ] N378.6 : Type {14,18}_6 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-2 * R * S^-1 * R * S^-1)^2 ] N378.7 : Type {14,18}_7 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^2 * S^-1 * R^-4 * S * R^-2 * S * R^-1 * T, S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * T ] N378.8 : Type {14,18}_7 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^-3 * S^4 * T, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] N378.9 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^14, (R * S^-1 * R^5)^2 ] N378.10 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^-4 * S^-2 * R * S^-2 * T ] N378.11 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, R^14, S^2 * R * S^-1 * R^4 * S^-1 * R * S^4 ] N378.12 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R^-2 * S * R^3 * S^4 * T, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] N378.13 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^-2 * S * R^-4 * S^5 * T ] N378.14 : Type {14,18}_14 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^2 * S^-1 * R^4 * S^4 * T, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] Genus 379 N379.1 : Type {4,381}_381 Order 3048 mV = 127 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-381 ] N379.2 : Type {12,14}_3 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, (R * S^-1)^6, (S^-2 * R * S^-1)^3 ] N379.3 : Type {12,14}_6 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * T, R^12, (R^3 * S^-1)^3 ] N379.4 : Type {12,14}_7 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, R^12, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R ] N379.5 : Type {12,14}_12 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^2 * R * S^-1 * R^3 * S^-1 * R * S^3, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R * S^-2 * R^5 * S^4 * R^-1 * T ] N379.6 : Type {12,14}_12 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R * S^-1 * R^5 * S^-1 * R * S^-3, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, (S * R^-3 * S^2)^2, R^-2 * S * R^5 * S^2 * R^-1 * S^-1 * R * T ] N379.7 : Type {12,14}_13 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^12, S^-2 * R * S^-1 * R^3 * S^-1 * R * S^-3, (R * S^-1)^6, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T ] Genus 380 N380.1 : Type {4,10}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, (R * S^-2)^4, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N380.2 : Type {4,18}_9 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * 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 * T * S^-1 ] N380.3 : Type {4,18}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N380.4 : Type {4,18}_18 Order 3888 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^18 ] N380.5 : Type {4,18}_18 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^18 ] N380.6 : Type {4,40}_30 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] N380.7 : Type {4,40}_35 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S * R^-1 * S * R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N380.8 : Type {8,12}_9 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * T * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-2 * S^2 ] N380.9 : Type {8,12}_18 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-2 * R^4 * S^-4, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, R * T * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] N380.10 : Type {12,78}_39 Order 1872 mV = 13 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-20 * R^2 * S^-4 * R * T * S^-15 ] Genus 381 N381.1 : Type {6,382}_573 Order 2292 mV = 191 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-96 * R^3 * S^9 * T * S^-86 ] N381.2 : Type {22,78}_429 Order 1716 mV = 39 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-20 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-9 ] Genus 382 N382.1 : Type {3,18}_9 Order 6840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S * R * S^-7 * R * S^-7 * R * S ] N382.2 : Type {3,18}_10 Order 6840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-7 * R * S^-7 * R * S, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * T * S^-1 ] N382.3 : Type {3,18}_10 Order 6840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S * R * S^-7 * R * S^-7 * R * S, S^-2 * T * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^5 * R^-1 * S^2 * R^-1 * S^-1 ] N382.4 : Type {3,18}_18 Order 6840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-7 * R * S^-7 * R * S, S * T * R * S^-2 * R * S^-2 * R * S^-1 * R * S^-6 * R * S^2 ] N382.5 : Type {3,18}_19 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-2 * R * S^2, S^3 * R * S^-4 * R^-1 * S^3 * R^-1 * S^-4 * R * S^2, (S * R^-1 * S^6 * R^-1 * S)^2, S^-2 * R^-1 * S^3 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * T * S^-2 ] N382.6 : Type {3,18}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * T, S^18, S^4 * R * S^-5 * R * S^6 * R^-1 * S^-1 * T * S^2 ] N382.7 : Type {3,18}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^4, S^18, S^-2 * T * S * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-3 * R * S^2 * R^-1 * S^-1 ] N382.8 : Type {4,384}_384 Order 3072 mV = 128 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^96 * R^2 * S * R^-1 * S^-3 * T * S^92 ] N382.9 : Type {4,384}_384 Order 3072 mV = 128 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^384 ] N382.10 : Type {6,60}_60 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, R * T * S * R * S^-4 * R^3 * S^5 ] N382.11 : Type {6,60}_60 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^10 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^5 ] N382.12 : Type {8,66}_33 Order 2112 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-17 * R^2 * S^-4 * R * S * T * S^-11 ] Genus 383 No non-orientable regular maps of genus 383 Genus 384 No non-orientable regular maps of genus 384 Genus 385 N385.1 : Type {4,387}_387 Order 3096 mV = 129 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-387 ] N385.2 : Type {6,386}_579 Order 2316 mV = 193 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-97 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-87 ] N385.3 : Type {10,194}_485 Order 1940 mV = 97 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-49 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-40 ] N385.4 : Type {14,130}_455 Order 1820 mV = 65 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-33 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * S^-25 ] N385.5 : Type {18,98}_441 Order 1764 mV = 49 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-25 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-16 ] N385.6 : Type {26,66}_429 Order 1716 mV = 33 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-17 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-4 ] N385.7 : Type {34,50}_425 Order 1700 mV = 25 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 * T * R^-4 * T * S^5 * R^-7 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 386 N386.1 : Type {4,10}_5 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T, (R * S^-1)^8, (R * S^-3)^4 ] N386.2 : Type {4,10}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N386.3 : Type {4,28}_7 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, (R * S^-6)^2 ] N386.4 : Type {4,28}_7 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S ] N386.5 : Type {4,28}_14 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-6)^2, S^3 * R^-1 * S^2 * R^-1 * S * R^2 * S^2 * R^-1 * S^-1 * R * S * R^-1 * T * S ] N386.6 : Type {4,28}_14 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, 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^2 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1 * T ] N386.7 : Type {4,28}_28 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S * R * S^-1 * R^-1 * S^5 * R * S^-2 * R * S * R^-1 * S^-1 * R * S * T * R * S^2 ] N386.8 : Type {4,28}_28 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T, S^28 ] N386.9 : Type {4,28}_28 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N386.10 : Type {4,28}_28 Order 3584 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, S^2 * R * S^-3 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2 ] N386.11 : Type {4,100}_25 Order 3200 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-13 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-8 ] N386.12 : Type {4,100}_50 Order 3200 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-13 * R^2 * S^-2 * R * S * R^-1 * T * S^3 * R^-1 * S^-6 ] N386.13 : Type {4,100}_100 Order 3200 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^25 * R^2 * S^2 * R^-1 * S^-1 * R * T * S^-3 * R * S^19 ] N386.14 : Type {4,100}_100 Order 3200 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^100 ] N386.15 : Type {5,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S^-1 * T * S, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * T * S ] N386.16 : Type {5,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * T, S^-2 * R^-2 * S * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * R ] N386.17 : Type {5,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, S^-2 * R^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T * R ] N386.18 : Type {5,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * T * R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * R^-1 * S, R * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] N386.19 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, R^-1 * S * R^-1 * S^2 * R^-2 * S^3 * R^-2 * S^2 ] N386.20 : Type {6,6}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R^2 * S^2, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S ] N386.21 : Type {8,24}_4 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-1)^6, S^2 * R^3 * S^-1 * R^-3 * S^-2 * R^2 * S, S^2 * T * R^-3 * S^9 * R^-1 ] N386.22 : Type {8,24}_4 Order 2304 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T ] N386.23 : Type {13,14}_3 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-4 * R)^2, R^-13, S * R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-3 * S * R^-1 ] N386.24 : Type {13,14}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^5, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^6 * S^4 * R^-1 * T ] N386.25 : Type {13,14}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-1 * S^5, (R * S^-1 * R * S^-1 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^-6 * S^2 * R^-1 * S^-2 * T ] N386.26 : Type {13,14}_6 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-13, S * R^-1 * S * R^-1 * S * R^-3 * S^2 * R^-3 * S * R^-1 ] N386.27 : Type {13,14}_12 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (S * R^-1 * S)^3, R^-13, R^3 * S^-1 * R^4 * S^-1 * R * S^2 * R^-1 * T ] N386.28 : Type {13,14}_13 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * T, (S^-1 * R^2 * S^-1)^3, R^-13 ] N386.29 : Type {13,14}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2 ] N386.30 : Type {13,14}_14 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-13, S * R^3 * S^-1 * R^3 * S * R^-2 * S^-1 * R * T ] N386.31 : Type {13,14}_26 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (S^-1 * R^2 * S^-1)^3, R^-13, S * R * S^-2 * R^-3 * S^-2 * R * S^3, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] Genus 387 N387.1 : Type {8,21}_7 Order 2352 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * T * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^2, R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * T * R^2 ] Genus 388 N388.1 : Type {4,390}_195 Order 3120 mV = 130 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-98 * R^2 * S^-1 * R * S^3 * T * S^-93 ] N388.2 : Type {4,390}_390 Order 3120 mV = 130 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^390 ] N388.3 : Type {6,196}_147 Order 2352 mV = 49 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-25 * R^2 * S^-4 * T * S^3 * R * S^-17 ] Genus 389 N389.1 : Type {6,132}_44 Order 2376 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^11 * R^2 * S * R^-2 * S^3 * T * S^-2 * R * S^5 ] N389.2 : Type {6,132}_132 Order 2376 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^33 * R * S^-1 * R * S^2 * R^-1 * T * S^30 ] N389.3 : Type {6,132}_132 Order 2376 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^11 * R^2 * S^2 * R^-1 * S^-1 * R * T * R^-1 * S^8 ] N389.4 : Type {6,390}_195 Order 2340 mV = 195 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-98 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-88 ] N389.5 : Type {8,17}_9 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^3 * S^-3 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R * S^-1 * R^-3 * S^-1 * R * S^-2 * R^2, R^-2 * S * R * S^-1 * R^3 * S * R^-2 * S^2 * T ] N389.6 : Type {8,17}_17 Order 2448 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^4 * S * R^-2 * T, S * T * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-2 * S ] Genus 390 N390.1 : Type {8,35}_35 Order 2240 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-35 ] N390.2 : Type {8,35}_70 Order 2240 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-35 ] N390.3 : Type {10,51}_85 Order 2040 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-7 * R^-1 * S * R * S^-1 * R^-2 * S^-4 * T * S^3 * R^-1 * S^-1 ] N390.4 : Type {12,80}_80 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R * S^-1 * R * S^-3 * T ] N390.5 : Type {12,80}_80 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-3 * R^5 * S^2 * R^-1 * S * R^-1 * T ] Genus 391 N391.1 : Type {4,393}_393 Order 3144 mV = 131 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-393 ] Genus 392 N392.1 : Type {4,14}_6 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, (R * S^-6)^2, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S ] N392.2 : Type {4,14}_6 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-6)^2, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * T * R * S^-2 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 ] N392.3 : Type {4,14}_7 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] N392.4 : Type {4,14}_12 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-4 * R * S^-1)^2, (R * S^-6)^2, S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^3 * T ] N392.5 : Type {4,14}_12 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T, (R * S^-6)^2 ] N392.6 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S^-1 * T * R^-1 * S^4 * R * S^-1 * R * S^-2 * R * S * R^-1 * S * R^-1 * S^-2 ] N392.7 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^14, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * T * S^-1 ] N392.8 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S, S^14, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S^2 ] N392.9 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^14, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N392.10 : Type {4,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^14, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S, R * S^-2 * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^-3 * R * S^3 ] N392.11 : Type {4,14}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-2)^2, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, S^-1 * T * R^-1 * S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^-1 * R * S^-2 ] N392.12 : Type {4,14}_14 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R * S^-2)^2, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S ] N392.13 : Type {4,30}_15 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^-2 * R^-1 * T * S^-3 * R^-1 * S^2 * R^-1 * S^-8 ] N392.14 : Type {14,14}_3 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R)^4, (R * S^-2)^4, S^-1 * R^2 * S^-2 * R^3 * S^-2 * R^2 * S^-2 ] N392.15 : Type {14,14}_4 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-1 * R)^4, (S^-2 * R * S^-1)^3 ] N392.16 : Type {14,14}_6 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-2, (R * S^-3 * R^2)^2, R^14, S^-1 * T * S * R^3 * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] N392.17 : Type {14,14}_7 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, (R * S^-3 * R^2)^2, R * S^-1 * R * S^-1 * R^-3 * S^-2 * R * S^2 * T ] N392.18 : Type {14,14}_7 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-1)^6, R^2 * S^-1 * R^-4 * S * R^-2 * S * R^-1 * T, S^-1 * R^7 * S^-6 ] N392.19 : Type {14,14}_7 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^-1 * S^3 * R^3 * S^3 * R^-1 * S, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^4 * S * R^-1 * S * R^-1 * S * R^-1, R^-1 * T * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^-2 ] N392.20 : Type {14,14}_13 Order 2184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N392.21 : Type {14,14}_14 Order 2184 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, (R * S^-1 * R)^4, (R * S^-2)^4, R^14, S^-1 * R^7 * S * R^-1 * S^2 * R^-1 * T, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-4 ] N392.22 : Type {14,14}_14 Order 2184 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^3 * S^-1 * R^3 * S^2 * R^-1 * S^2, (S^-1 * R^2 * S^-1)^3, R^14, R^-1 * S * R^6 * S * R^-1 * S^4, S^-1 * R * S^-1 * R^5 * S^4 * R^-1 * T ] N392.23 : Type {14,14}_14 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, (R * S^-3 * R^2)^2, R^14, R * S^-1 * R * S^-1 * R^4 * S^-2 * R * S^2 * T ] N392.24 : Type {14,14}_14 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^3 * S^-1 * R^3 * S * R^-2 * S * T, (R * S^-1)^6, S^-3 * R * S^-2 * R * S^3 * R^-1 * T ] N392.25 : Type {14,14}_14 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R^-1 * S^3 * R^3 * S^3 * R^-1 * S, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^-1 * S * R * S^-1 * R^4 * S * R^-1 * S * R^-1 * S * R^-1, R^-1 * S^2 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S^-1 * T ] N392.26 : Type {14,24}_3 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^6, (R * S^-2)^4 ] N392.27 : Type {14,24}_12 Order 2016 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R^2)^2, (S^-1 * R^2 * S^-1)^3, S^-3 * R^-4 * S^2 * R^-1 * S^2 * T, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * T ] Genus 393 N393.1 : Type {6,394}_591 Order 2364 mV = 197 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-99 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-89 ] N393.2 : Type {10,198}_495 Order 1980 mV = 99 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-50 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-41 ] N393.3 : Type {30,58}_435 Order 1740 mV = 29 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^15 * R^-7 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 394 N394.1 : Type {4,102}_102 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^102 ] N394.2 : Type {4,396}_396 Order 3168 mV = 132 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^99 * R^2 * S * R^-1 * S^-3 * T * S^95 ] N394.3 : Type {4,396}_396 Order 3168 mV = 132 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^396 ] N394.4 : Type {6,24}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^2 * S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] N394.5 : Type {6,24}_8 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-5)^2, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S ] N394.6 : Type {6,24}_16 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-5)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N394.7 : Type {6,24}_16 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R * S^-1 * R * S^-4 * T, S^-1 * R * S^-1 * R^2 * S^-1 * R^-2 * S^2 * R^-2 * S * T ] N394.8 : Type {8,264}_264 Order 2112 mV = 88 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^33 * R * S^-1 * R^2 * S^-2 * T * S^30 ] N394.9 : Type {8,264}_264 Order 2112 mV = 88 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^33 * R^-1 * S^-1 * R * S^4 * R^-1 * T * S^28 ] N394.10 : Type {18,18}_9 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^2 * T ] N394.11 : Type {18,18}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, (R * S^-2 * R^3)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^-2 * T ] N394.12 : Type {18,18}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, (R * S^-2 * R^3)^2, S^-4 * R^-3 * S^2 * R^-1 * S^2 * T ] N394.13 : Type {18,18}_18 Order 2016 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^-3 * T, (R * S^-1 * R * S^-1 * R)^2 ] N394.14 : Type {20,24}_15 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * T ] N394.15 : Type {20,24}_30 Order 1920 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, (R * S^-2 * R^4)^2, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2, R^-1 * T * S^-1 * R^-2 * S * R^4 * S^-1 * R^2 * S^-2 ] Genus 395 No non-orientable regular maps of genus 395 Genus 396 No non-orientable regular maps of genus 396 Genus 397 N397.1 : Type {4,399}_399 Order 3192 mV = 133 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-399 ] N397.2 : Type {6,398}_597 Order 2388 mV = 199 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-100 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-90 ] N397.3 : Type {10,42}_21 Order 2100 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-11 * R^2 * S^-4 * R * S * T * S^-5 ] N397.4 : Type {14,134}_469 Order 1876 mV = 67 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-34 * R^7 * S * T * S^-4 * T * S^2 * T * S^-26 ] N397.5 : Type {38,46}_437 Order 1748 mV = 23 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * R^-1 * S^2 * T * R^5 * S * T * S^-4 * R^9 * S * T * S^-4 * T * S^2 * T * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 398 N398.1 : Type {4,10}_12 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^3 * R^-1 * S^2 * T ] N398.2 : Type {4,10}_12 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^2 * R * S^-2 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * T ] N398.3 : Type {4,10}_12 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] N398.4 : Type {4,10}_12 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, S * T * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] N398.5 : Type {8,10}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^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 * S^-1)^6, (R * S^-2)^4, R^-3 * S * R^-4 * S^-1 * R^3 * S^-1 * T ] N398.6 : Type {8,10}_4 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^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 * S^-1)^6, (R * S^-2)^4, R^-2 * S^2 * R^-3 * S^5 * R * T ] N398.7 : Type {8,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, R^-2 * S * R^-2 * S * R^-1 * S^5 * R^-1 * S, R^-1 * S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2 * T ] N398.8 : Type {8,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S^2 * R^3 * S^2 * R^-1 * S * T, R^-1 * S^-5 * R^2 * S^5 * R^-1 ] N398.9 : Type {8,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^4 * S^2 * R^-1 * S * T, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-4 * R)^2 ] N398.10 : Type {8,10}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R^-1 * S^4 * R^-1 * S^5 * T ] N398.11 : Type {8,10}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 ] N398.12 : Type {8,10}_20 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-2 * R^-2 * S * R^-2 * S^-1 * R * S * R^-3 * T ] N398.13 : Type {10,10}_5 Order 2640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N398.14 : Type {10,10}_6 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^2 * T ] N398.15 : Type {10,10}_6 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1, (R * S^-1)^6, S^-3 * R^-4 * S^2 * R^-2 * S * T ] N398.16 : Type {10,10}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^3)^2, (R * S^-3 * R^2)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1, R^-1 * S * R * S^-1 * R^-3 * S^5 * R * T ] N398.17 : Type {10,10}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R^3 * S^-1 * R^-2 * S^5 * R * T ] N398.18 : Type {10,10}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-1 * R^5 * S * R^-3 * T, R * S^-2 * R * S^-1 * R^2 * S^-2 * R^2 * S^-1 ] N398.19 : Type {10,10}_10 Order 2640 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, (R * S^-1)^6, R * S^-3 * R^-3 * S * R^-1 * S^-1 * R * S * T ] N398.20 : Type {10,10}_10 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N398.21 : Type {10,10}_11 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N398.22 : Type {10,10}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R^3)^2, R^-1 * S^-5 * R^2 * S^-1 * R * T ] N398.23 : Type {10,10}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R^3)^2, R^2 * S^-1 * R^-3 * S^5 * T ] N398.24 : Type {10,10}_22 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (S^-1 * R^2 * S^-1)^3, S * R^-1 * S * R^-2 * S * R^-2 * S^-1 * R^4 * T ] N398.25 : Type {10,85}_51 Order 2040 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-6 * R^2 * S^-3 * R * S^6 * T * S^-2 ] Genus 399 No non-orientable regular maps of genus 399 Genus 400 N400.1 : Type {4,402}_201 Order 3216 mV = 134 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-101 * R^2 * S^-1 * R * S^3 * T * S^-96 ] N400.2 : Type {4,402}_402 Order 3216 mV = 134 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^402 ] N400.3 : Type {18,52}_117 Order 1872 mV = 13 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-2 * S^-4 * R^-1 * S * R * S^-2 * R^3 * S^4 * T * R^-2 * S^-2 ] Genus 401 N401.1 : Type {3,20}_9 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * T, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, (S^3 * R^-1 * S^6 * R^-1 * S)^2 ] N401.2 : Type {3,20}_10 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^5, S^2 * R * S^-4 * R^-1 * S * R^-1 * S^-1 * R * S^-4 * R * S^2, S^-1 * R^-1 * S * T * S^-1 * R^-1 * S^6 * R^-1 * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N401.3 : Type {3,20}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * T, (S^2 * R^-1 * S^6 * R^-1 * S)^2 ] N401.4 : Type {3,20}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-2 * R * S^3 * R^-1 * S^-3, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S^5 * R^-1 * S^-2 * R * T * S^-1 ] N401.5 : Type {4,42}_4 Order 3528 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 * R^-1 * T * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 ] N401.6 : Type {6,402}_201 Order 2412 mV = 201 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-101 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-91 ] N401.7 : Type {8,9}_63 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * T * R^2 ] N401.8 : Type {8,28}_7 Order 2352 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R * T * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S^2, R^-1 * S * R * S^-2 * R^-3 * S^2 * R^-2 * S^2 * R^-1 ] N401.9 : Type {10,202}_505 Order 2020 mV = 101 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-51 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-42 ] N401.10 : Type {18,102}_153 Order 1836 mV = 51 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-26 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-17 ] N401.11 : Type {22,82}_451 Order 1804 mV = 41 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-21 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-10 ] N401.12 : Type {42,42}_21 Order 1764 mV = 21 mF = 21 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^4 * T * R^-1 * S * R^7 * S^-5 * T * R^6 * S^2 * R * S^-1 * R^-1 * S * R * S^-2 ] Genus 402 N402.1 : Type {6,8}_5 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N402.2 : Type {6,8}_5 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6 ] N402.3 : Type {6,8}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^-4 * R^3 * S^4 * R^-2, S * R^-1 * S * R^-2 * S * R^2 * S^-2 * R * S^-1 * T ] N402.4 : Type {8,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^7 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-3 * R * S * T * R * S^4 ] N402.5 : Type {8,36}_18 Order 2304 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^-8 * R^-1 * S * R^-1 * S^-2 * R * S^2 * T * S^-5 ] N402.6 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-8 * R^-1 * S * R^3 * S^-2 * R * S * T * S^-6 ] N402.7 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-8 * R^-1 * S * R^-1 * S^-2 * R * S^2 * T * S^-5 ] N402.8 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^36 ] N402.9 : Type {8,36}_36 Order 2304 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^36 ] Genus 403 N403.1 : Type {4,405}_405 Order 3240 mV = 135 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-405 ] Genus 404 N404.1 : Type {6,204}_51 Order 2448 mV = 51 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-26 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-21 ] N404.2 : Type {10,36}_18 Order 2160 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^-9 * R * S^2 * R^-1 * S^-2 * R * S * T * S^-4 ] Genus 405 N405.1 : Type {6,406}_609 Order 2436 mV = 203 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-102 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-92 ] Genus 406 N406.1 : Type {4,105}_105 Order 3360 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-105 ] N406.2 : Type {4,408}_408 Order 3264 mV = 136 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^102 * R^2 * S * R^-1 * S^-3 * T * S^98 ] N406.3 : Type {4,408}_408 Order 3264 mV = 136 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^408 ] N406.4 : Type {6,104}_39 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, R^-1 * S * T * S^-5 * R^2 * S^-7 ] N406.5 : Type {8,70}_35 Order 2240 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-18 * R^4 * S^-17 ] N406.6 : Type {8,70}_70 Order 2240 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-18 * R^4 * S^-17 ] N406.7 : Type {9,17}_3 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^-2 * R * S^-1)^3 ] N406.8 : Type {9,17}_4 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-2, (R * S^-1 * R)^4, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] N406.9 : Type {9,17}_8 Order 2448 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R^-2 * S)^3, S^-1 * R^-1 * S^2 * R^-3 * S^2 * R^-1 * S^-3, R * T * S * R^2 * S^-2 * R^2 * S^3 * R^-1 * S^2 ] Genus 407 N407.1 : Type {6,8}_8 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N407.2 : Type {6,8}_8 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^3 * R^-1 * S^4 * R * S^-1 * T, S^-1 * R^-1 * S^2 * R^-2 * S * R^2 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] N407.3 : Type {6,8}_8 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, (R * S^-1)^6, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R ] N407.4 : Type {6,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^4 * R, (R * S^-1)^6, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, R * S^-1 * R^-2 * S^2 * R^-1 * S * R^-2 * S^-1 * R * S^-2 * R * S^-1 ] N407.5 : Type {6,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^2 * R^-1 * S^3 * R^-1 * S^4 * R * S^-1 * T, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] N407.6 : Type {6,8}_24 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-2 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S * R^-1 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-3 * R ] N407.7 : Type {6,18}_9 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^18 ] N407.8 : Type {6,18}_9 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N407.9 : Type {6,18}_9 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, R^-1 * S * R^-1 * S * R^-2 * S * R^2 * S^-1 * R * S^3 * T ] N407.10 : Type {6,18}_9 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-2 * R^-2 * S * R^3 * S^2 * R^-2 * T, S^18 ] N407.11 : Type {6,18}_9 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N407.12 : Type {6,30}_3 Order 2700 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^30 ] N407.13 : Type {6,138}_69 Order 2484 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-35 * R^2 * S^-4 * R * S * T * S^-29 ] Genus 408 No non-orientable regular maps of genus 408 Genus 409 N409.1 : Type {4,411}_411 Order 3288 mV = 137 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-411 ] N409.2 : Type {6,410}_615 Order 2460 mV = 205 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-103 * R^-2 * S^-6 * R^-1 * S^3 * T * S^-93 ] N409.3 : Type {10,206}_515 Order 2060 mV = 103 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-52 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-43 ] N409.4 : Type {14,138}_483 Order 1932 mV = 69 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-35 * R^7 * S^7 * T * S^-27 ] N409.5 : Type {26,70}_455 Order 1820 mV = 35 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-18 * R^-6 * S^-1 * R * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-5 ] Genus 410 N410.1 : Type {4,6}_9 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^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 * T, R^-1 * S^-3 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S^3 * R^2 * S ] N410.2 : Type {4,6}_18 Order 9792 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * T, R^-1 * S^-3 * R^-2 * S^-3 * R^-1 * S * R^2 * S^3 * R^2 * S^3 * R^2 * S ] N410.3 : Type {6,6}_9 Order 4896 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-3 * S^-3 * R^3 * S^3 * T, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] N410.4 : Type {6,20}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^2 * S^6, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * T ] N410.5 : Type {6,20}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^2 * S^6, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N410.6 : Type {6,20}_12 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2 ] N410.7 : Type {6,20}_15 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * R * S^-1 * T * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] N410.8 : Type {6,20}_30 Order 2880 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^2 * S^2 * R^-1 * S^-2 * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * R * S^-1 * T * R^-1 * S^-2 * R * S^-1 ] N410.9 : Type {6,105}_105 Order 2520 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-13 * R * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-4 ] N410.10 : Type {10,28}_35 Order 2240 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, S * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * T ] Genus 411 No non-orientable regular maps of genus 411 Genus 412 N412.1 : Type {3,7}_20 Order 34440 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R * S^-1)^10, S^-2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^3 * R^-1 * T * S^-3 * R * S^-2 * R * S^-1 ] N412.2 : Type {4,414}_207 Order 3312 mV = 138 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-104 * R^2 * S^-1 * R * S^3 * T * S^-99 ] N412.3 : Type {4,414}_414 Order 3312 mV = 138 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^414 ] N412.4 : Type {6,44}_55 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^2 * T * R^-1 * S * R^-2 * S * R^3 * S^-1 * R * S^6 ] N412.5 : Type {8,30}_5 Order 2400 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-5)^2 ] N412.6 : Type {8,30}_10 Order 2400 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T, (R * S^-5)^2 ] N412.7 : Type {8,276}_69 Order 2208 mV = 92 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-35 * R^2 * S^-1 * R * S^4 * T * S^-29 ] N412.8 : Type {8,276}_138 Order 2208 mV = 92 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-35 * R * S * R^-1 * S^-4 * T * R^-1 * S^-29 ] Genus 413 N413.1 : Type {6,140}_140 Order 2520 mV = 35 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^35 * R * S^-1 * R * S^2 * R^-1 * T * S^32 ] N413.2 : Type {6,414}_207 Order 2484 mV = 207 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-104 * R^3 * S^9 * T * S^-94 ] Genus 414 N414.1 : Type {20,48}_16 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-3 * R^3 * S * R^-2 * T, (R * S^-5)^2 ] N414.2 : Type {20,48}_16 Order 1920 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-4 * R)^2, (R * S^-5)^2, S^-1 * R^7 * S^3 * R^-2 * T ] N414.3 : Type {20,48}_80 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * T ] N414.4 : Type {20,48}_80 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-8 * S^-1 * R^2 * S^-1 * R * S * T * S^-1 ] Genus 415 N415.1 : Type {4,417}_417 Order 3336 mV = 139 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-417 ] Genus 416 N416.1 : Type {12,30}_15 Order 2160 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^-6 * R^-1 * S * R * S^-6 * T * R^-1 * S^-2 ] N416.2 : Type {12,168}_21 Order 2016 mV = 42 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-11 * R^2 * S^-2 * R * S^2 * T * S^-6 ] N416.3 : Type {12,168}_42 Order 2016 mV = 42 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-11 * R^-1 * S^5 * T * R * S * R^-3 * S^-4 ] Genus 417 N417.1 : Type {6,418}_627 Order 2508 mV = 209 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-105 * R^3 * S^9 * T * S^-95 ] N417.2 : Type {10,44}_44 Order 2200 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^11 * R * S^-1 * R * S^2 * R^-1 * T * S^2 * R^-1 * S^-2 * R * S^4 ] N417.3 : Type {10,210}_105 Order 2100 mV = 105 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-53 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-44 ] N417.4 : Type {18,106}_477 Order 1908 mV = 53 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-27 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-18 ] N417.5 : Type {34,54}_459 Order 1836 mV = 27 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-9 * T * R^2 * S * T * S^-4 * R^9 * S * T * S^-4 * T * S^2 * T * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 418 N418.1 : Type {4,30}_15 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^3 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^3, S^-2 * R^-1 * T * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] N418.2 : Type {4,30}_15 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * T, S^-2 * R^-1 * T * S^-1 * R^-1 * S^6 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] N418.3 : Type {4,30}_30 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-2 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * T, S^30 ] N418.4 : Type {4,30}_30 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^5 * R^-1, S^2 * R * S^-5 * R^-2 * S^-5 * R * S^3 ] N418.5 : Type {4,108}_108 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^27 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^23 ] N418.6 : Type {4,108}_108 Order 3456 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^108 ] N418.7 : Type {4,420}_420 Order 3360 mV = 140 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^105 * R^2 * S * R^-1 * S^-3 * T * S^101 ] N418.8 : Type {4,420}_420 Order 3360 mV = 140 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^420 ] N418.9 : Type {5,12}_5 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-2)^4, (R * S^-5)^2 ] N418.10 : Type {5,12}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, R * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^3 ] N418.11 : Type {5,12}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, R * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^-3 ] N418.12 : Type {5,12}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, (R * S^-5)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * T ] N418.13 : Type {6,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * T * S^-1 * R^-1 * S * R * S^-2 * R^3 * S^5 ] N418.14 : Type {6,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-3)^4 ] N418.15 : Type {6,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^2 * R * S^-1 * R^2 * S^-2 * R^3 * S * R^-1 * S^-1 * R * T ] N418.16 : Type {6,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^-2 * R^-2 * S * R^2 * S^-1 * R * S * R^-2 * S^-1, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-2 * R^-1 * S * R^-2 * S * R * S^-1 * R * S^-2 * R * S^2 * T ] N418.17 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] N418.18 : Type {6,16}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^3 * R * S^-1 * R^-2 * S^-2 * R * S * R^-2 * T ] N418.19 : Type {7,8}_7 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-2 * S^2 ] N418.20 : Type {7,8}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] N418.21 : Type {7,8}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, R * T * R^-2 * S^2 * R * S^-1 * R^-4 * S * R^-1 * S^2 * R^-1 * S ] N418.22 : Type {7,8}_14 Order 3584 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^7, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S * R^-1, R * T * R^-2 * S^2 * R * S^-1 * R^-4 * S * R^-1 * S^-1 * R * S^2 ] N418.23 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-8 * R^-1 * S^3 * R^-1 * S^-3 * T * S * R^-1 * S^-3 ] N418.24 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-8 * R^-1 * S * R^-1 * S^-2 * R * S^2 * T * S^-5 ] N418.25 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^18 * R^3 * S^-7 * R^-1 * S^11 ] N418.26 : Type {8,72}_72 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^18 * R^4 * S^18 ] Genus 419 No non-orientable regular maps of genus 419 Genus 420 N420.1 : Type {6,212}_159 Order 2544 mV = 53 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-27 * R^2 * S^-2 * R * S^2 * T * S^-22 ] N420.2 : Type {10,12}_3 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R)^4 ] N420.3 : Type {10,12}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S * R^-1 * S * T, S^12 ] N420.4 : Type {10,12}_4 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^12, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-1 * R^-2 * S * R^4 * S * R^-2 * S^-3 ] N420.5 : Type {10,12}_4 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R^3)^2, S^12, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-2 * T ] N420.6 : Type {10,12}_4 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-1 * R^3)^2, S^12, R^-1 * S * R^-2 * S * R^-1 * S * R^3 * S^2 * R^-1 * S^-1 * T ] N420.7 : Type {10,12}_5 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N420.8 : Type {10,12}_5 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2 ] N420.9 : Type {10,12}_6 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1 * R)^4, R^-1 * S * R^3 * S^-3 * R * S^-3 * R * S^-1 * T ] N420.10 : Type {10,12}_6 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R^3)^2, S^-2 * R^2 * S^-1 * R^2 * S^4 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N420.11 : Type {10,12}_6 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-1 * R^3)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-1 * R^-3 * S^5 * T ] N420.12 : Type {10,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R^-4 * S * R^2 * S * R^-2 * S^-1 * T ] N420.13 : Type {10,12}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-2 * R^-1 * S * R^-3 * S^2 * R^-1 * S * R^-1 * T ] N420.14 : Type {10,12}_10 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-2 * R^-1 * S * R^2 * S^2 * R^-1 * S * T ] N420.15 : Type {10,12}_10 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, R^-1 * S^2 * R^4 * S^2 * R^-1 * S^2, R^-1 * S * R * S^-1 * R^3 * S^-1 * R * S^2 * T ] N420.16 : Type {10,12}_12 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S^-3 * T ] N420.17 : Type {10,12}_12 Order 2640 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, R * S^-1 * R^5 * S * R^-3 * T ] Genus 421 N421.1 : Type {4,423}_423 Order 3384 mV = 141 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-423 ] N421.2 : Type {6,422}_633 Order 2532 mV = 211 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-106 * R^3 * S^9 * T * S^-96 ] N421.3 : Type {14,142}_497 Order 1988 mV = 71 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-36 * R^7 * S^7 * T * S^-28 ] N421.4 : Type {22,86}_473 Order 1892 mV = 43 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-22 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-11 ] N421.5 : Type {30,62}_465 Order 1860 mV = 31 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-16 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 ] Genus 422 N422.1 : Type {3,16}_21 Order 8064 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-7)^2, S * R^-1 * S * T * S^-1 * R^-1 * S^4 * R * S^-2 * R * S^3 * R^-1 * S^2 * R^-1 * S^-2 * R * S ] N422.2 : Type {3,16}_42 Order 8064 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-7)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * T * S^-1 ] N422.3 : Type {3,26}_21 Order 6552 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-4 * R * S^5 * R^-1 * T * S^2, (S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S)^2 ] N422.4 : Type {4,12}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, S^-2 * R^-1 * S^4 * R * S^-1 * R * S^6 * R^-1 * T ] N422.5 : Type {4,12}_12 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^-5 * T * R^-2 * S^6 * R^2 * S^-1, S^-1 * R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-1 * R * S^-2 * R * S * T * S^-1 ] N422.6 : Type {4,24}_12 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * T ] N422.7 : Type {4,24}_12 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N422.8 : Type {5,15}_15 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, S^-2 * R^-1 * S^2 * R^-2 * S^2 * R^-1 * S^-3, S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-4 * R * S^-2 ] N422.9 : Type {6,6}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R^2 * S^-1 * R^-1 * S * R * S^-1 * R^3 * S * R^-1 * S^3 * R, R * S^-2 * R^-2 * S * R * S^-1 * R * S^-1 * R * S * R^-2 * S^-2, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 * T ] N422.10 : Type {6,10}_15 Order 3600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-5 * R^3 * S^5 * R^-2, R^-1 * S^-5 * R * S^-1 * R * S^5 * R^-1 * S, R^-1 * S * R * S^-1 * R^-2 * S^3 * R^-1 * S^-4 * T ] N422.11 : Type {6,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^-4 * R^-1 * T * S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-4 ] N422.12 : Type {6,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^24 ] N422.13 : Type {6,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * T ] N422.14 : Type {6,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, (R * S^-5)^2 ] N422.15 : Type {6,66}_66 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^11 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^5 ] N422.16 : Type {8,16}_24 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, R * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S * T ] N422.17 : Type {8,16}_24 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R^4 * S^-5, R^-1 * S^3 * R * S^-1 * R^2 * S^-3 * R * S^-1 * T ] N422.18 : Type {10,20}_60 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N422.19 : Type {10,20}_60 Order 2400 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^20 ] N422.20 : Type {10,20}_60 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^5 * T ] N422.21 : Type {10,20}_60 Order 2400 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^20 ] N422.22 : Type {10,90}_9 Order 2160 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-1 * T * S^-1 * R^-1 * S^3 * R^2 * S^2 * R^-1 * S^-3 ] N422.23 : Type {10,90}_18 Order 2160 mV = 18 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^9 * R * S^-5 * T * R^-1 * S^-1 * R * S^3 ] N422.24 : Type {13,26}_7 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^5 * S^-2 * R * S * T, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-13 ] N422.25 : Type {13,26}_14 Order 2184 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^3 * S * R^-2 * S * T, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, R^-13 ] N422.26 : Type {20,80}_48 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-2 * S * R^4 * S^2 * R^-1 * S^-1 * T ] N422.27 : Type {20,80}_48 Order 1920 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R * S^-1 * R^6 * S^-2 * R * S * R^-1 * T ] Genus 423 No non-orientable regular maps of genus 423 Genus 424 N424.1 : Type {4,426}_213 Order 3408 mV = 142 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-107 * R^2 * S^-1 * R * S^3 * T * S^-102 ] N424.2 : Type {4,426}_426 Order 3408 mV = 142 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^426 ] Genus 425 N425.1 : Type {6,426}_213 Order 2556 mV = 213 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-107 * R^3 * S^9 * T * S^-97 ] N425.2 : Type {10,214}_535 Order 2140 mV = 107 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-54 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-45 ] Genus 426 N426.1 : Type {4,110}_55 Order 3520 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-28 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-23 ] N426.2 : Type {4,110}_110 Order 3520 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^110 ] N426.3 : Type {6,56}_56 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S^-2 * T * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-3 ] N426.4 : Type {6,56}_56 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S * T * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] N426.5 : Type {6,56}_56 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^-3 * R * S^-2 * R * S^3 * R^-1 * T ] N426.6 : Type {6,56}_56 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, (R * S^-6)^2 ] Genus 427 N427.1 : Type {4,429}_429 Order 3432 mV = 143 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-429 ] Genus 428 N428.1 : Type {14,26}_3 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^3)^2, (S^-1 * R)^7 ] N428.2 : Type {14,26}_6 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-1 * R * S * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (S^-1 * R)^7 ] N428.3 : Type {14,26}_6 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^14, (R * S^-1 * R^5)^2, S^-1 * R^2 * S^-1 * R^4 * S^5 * T ] N428.4 : Type {14,26}_6 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-1 * R^-3 * S^5 * T ] N428.5 : Type {14,26}_13 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R^-1 * S * R^-2 * S * R^-1 * S^2 * T, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2, (S^-1 * R^2 * S^-1)^3 ] N428.6 : Type {14,26}_26 Order 2184 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^2, (S^-1 * R^2 * S^-1)^3, R^14, S * R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S^-1 * T ] Genus 429 N429.1 : Type {6,430}_645 Order 2580 mV = 215 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-108 * R^3 * S^9 * T * S^-98 ] Genus 430 N430.1 : Type {4,432}_432 Order 3456 mV = 144 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^108 * R^2 * S * R^-1 * S^-3 * T * S^104 ] N430.2 : Type {4,432}_432 Order 3456 mV = 144 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^432 ] N430.3 : Type {6,110}_55 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S * T * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^6 ] N430.4 : Type {6,110}_110 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^11 * R * S^-1 * R^2 * S^-1 * R * S^9 ] N430.5 : Type {8,288}_288 Order 2304 mV = 96 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^36 * R^-1 * S^-1 * R * S^4 * R^-1 * T * S^31 ] N430.6 : Type {8,288}_288 Order 2304 mV = 96 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^36 * R * S^-1 * R^2 * S^-2 * T * S^33 ] Genus 431 N431.1 : Type {10,22}_5 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-3 * R^3)^2 ] N431.2 : Type {10,22}_5 Order 2420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] Genus 432 No non-orientable regular maps of genus 432 Genus 433 N433.1 : Type {4,435}_435 Order 3480 mV = 145 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-435 ] N433.2 : Type {6,434}_651 Order 2604 mV = 217 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-109 * R^3 * S^9 * T * S^-99 ] N433.3 : Type {10,218}_545 Order 2180 mV = 109 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-55 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-46 ] N433.4 : Type {14,146}_511 Order 2044 mV = 73 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-37 * R^7 * S^7 * T * S^-29 ] N433.5 : Type {18,110}_495 Order 1980 mV = 55 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-28 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-19 ] N433.6 : Type {26,74}_481 Order 1924 mV = 37 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-19 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-6 ] N433.7 : Type {38,50}_475 Order 1900 mV = 25 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^8 * T * R^-5 * T * S^-5 * R^-9 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 434 N434.1 : Type {6,6}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^-2 * R * S^-2 * R * S^3 * R^-1 * T, R * S^-3 * R^2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R ] N434.2 : Type {6,12}_8 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^12, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T, R * T * S * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R * S^-1 ] N434.3 : Type {6,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^12, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] N434.4 : Type {6,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R)^4, (R * S^-1)^6, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N434.5 : Type {6,21}_9 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^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, S^-4 * R^3 * S^-1 * R * S * R^-2 * S^-1, R^-1 * S * R^2 * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * T * S ] N434.6 : Type {6,30}_30 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^2 * S^-4 * R^2 * S * R^-1 * S^-1 * R * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-5 * T * S^3 ] N434.7 : Type {10,10}_8 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-3, (R * S^-3 * R^2)^2, R * S^-1 * R^3 * S^-1 * R * S^5 * T ] N434.8 : Type {12,12}_12 Order 2592 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, S^2 * R^5 * S^3 * R^-1 * S ] N434.9 : Type {12,12}_12 Order 2592 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-2 * R^4)^2 ] N434.10 : Type {12,12}_12 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^12, R * S^-1 * R^6 * S * R^-4 * T ] N434.11 : Type {12,12}_36 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, S^12, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, R^-2 * S * R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S^-1 * T * S ] N434.12 : Type {12,12}_36 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, S^12, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, R * T * S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * S * R^-1 * S ] N434.13 : Type {12,24}_3 Order 2304 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^8 ] Genus 435 No non-orientable regular maps of genus 435 Genus 436 N436.1 : Type {4,438}_219 Order 3504 mV = 146 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-110 * R^2 * S^-1 * R * S^3 * T * S^-105 ] N436.2 : Type {4,438}_438 Order 3504 mV = 146 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^438 ] N436.3 : Type {6,220}_165 Order 2640 mV = 55 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-28 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-23 ] Genus 437 N437.1 : Type {4,33}_15 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3, (R^-1 * S * R^-1 * S^2)^3 ] N437.2 : Type {6,90}_9 Order 2700 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^3 * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 ] N437.3 : Type {6,148}_148 Order 2664 mV = 37 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^37 * R * S^-1 * R * S^2 * R^-1 * T * S^34 ] N437.4 : Type {6,438}_219 Order 2628 mV = 219 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-110 * R^3 * S^9 * T * S^-100 ] Genus 438 N438.1 : Type {10,57}_95 Order 2280 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-10 * R^2 * S^-1 * R^2 * S^-3 * T * S^4 * R^-1 * S^-1 ] Genus 439 N439.1 : Type {4,441}_441 Order 3528 mV = 147 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-441 ] Genus 440 N440.1 : Type {12,90}_45 Order 2160 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-23 * R^2 * S^-4 * R * S * T * S^-17 ] Genus 441 N441.1 : Type {6,442}_663 Order 2652 mV = 221 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-111 * R^3 * S^9 * T * S^-101 ] N441.2 : Type {10,222}_555 Order 2220 mV = 111 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-56 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-47 ] N441.3 : Type {22,90}_495 Order 1980 mV = 45 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-23 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-12 ] N441.4 : Type {42,46}_483 Order 1932 mV = 23 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-3 * R^-1 * S * R * S^-1 * R^-1 * S^2 * T * R^5 * S * T * S^-4 * R^9 * S^7 * T * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 442 N442.1 : Type {4,6}_40 Order 10560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, S^-2 * R^-1 * S * R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * R ] N442.2 : Type {4,6}_40 Order 10560 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R^3 * S * R^-1 * S^3 * R^2 * S^-1 * R * S^2 ] N442.3 : Type {4,12}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-4 * R * S^-2, S^-1 * T * R^-1 * S * R * S^-3 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-3 ] N442.4 : Type {4,12}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R^-1 * S^3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N442.5 : Type {4,12}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^2 * T * R * S^-3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N442.6 : Type {4,12}_20 Order 5280 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2 ] N442.7 : Type {4,114}_114 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^114 ] N442.8 : Type {4,444}_444 Order 3552 mV = 148 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^111 * R^2 * S * R^-1 * S^-3 * T * S^107 ] N442.9 : Type {4,444}_444 Order 3552 mV = 148 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^444 ] N442.10 : Type {5,6}_30 Order 6600 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, R * S^-1 * R^-2 * S * R^-1 * S^-3 * R^-3 * S^3 * R^-1 * S * R^-1 * S ] N442.11 : Type {6,6}_5 Order 5280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^3 * R * S^-1 * R * S^-1 ] N442.12 : Type {6,6}_10 Order 5280 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-2 * S * R^2 * S^-1 * R^2 * S^3 * R * S^-1 * R * S^-1, S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * T ] N442.13 : Type {6,25}_25 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-25 ] N442.14 : Type {12,12}_3 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, S^12, (R * S^-1 * R^2 * S^-1 * R^2)^2, (R * S^-3 * R * S^-2)^2 ] N442.15 : Type {12,12}_6 Order 2640 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, S^12, R * S^-3 * R^-3 * S * R^-1 * S * R^-1 * S * T ] N442.16 : Type {12,12}_10 Order 2640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^12, S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * T ] N442.17 : Type {12,20}_5 Order 2400 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R ] N442.18 : Type {12,20}_10 Order 2400 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^12, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-1 * S * R^-4 * S * R^-1 * S^-1 * R * S * T ] N442.19 : Type {12,20}_12 Order 2400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, R^2 * S^-1 * R^4 * S^-1 * R^2 * S^-2, S * R * S^-3 * R^2 * S^-3 * R * S, R^-2 * S^3 * R^3 * S^3 * R^-1 * S * T ] N442.20 : Type {16,18}_9 Order 2304 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^-2 * S^-5 * T, R^16 ] Genus 443 N443.1 : Type {6,52}_156 Order 2808 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^13 * R * S^-1 * R * S^5 * T * S^-1 * R * S^6 ] N443.2 : Type {6,150}_75 Order 2700 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-38 * R^2 * S^-4 * R * S * T * S^-32 ] Genus 444 No non-orientable regular maps of genus 444 Genus 445 N445.1 : Type {4,447}_447 Order 3576 mV = 149 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-447 ] N445.2 : Type {6,446}_669 Order 2676 mV = 223 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-112 * R^3 * S^9 * T * S^-102 ] N445.3 : Type {14,150}_525 Order 2100 mV = 75 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-38 * R^7 * S^7 * T * S^-30 ] Genus 446 N446.1 : Type {4,115}_115 Order 3680 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-115 ] N446.2 : Type {6,40}_15 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^2 * S^2 * R^-1 * S^-2 * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * R * S^-1 * T * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] N446.3 : Type {6,40}_30 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * R * S^-1 * T * R^-1 * S^-2 * R * S^-1 ] N446.4 : Type {10,21}_105 Order 2520 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-21 ] N446.5 : Type {10,95}_57 Order 2280 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-10 * R^2 * S^-2 * R^2 * S^-7 ] Genus 447 No non-orientable regular maps of genus 447 Genus 448 N448.1 : Type {4,450}_225 Order 3600 mV = 150 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-113 * R^2 * S^-1 * R * S^3 * T * S^-108 ] N448.2 : Type {4,450}_450 Order 3600 mV = 150 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^450 ] N448.3 : Type {8,300}_75 Order 2400 mV = 100 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-38 * R * S * R^-1 * S^-4 * T * R^-1 * S^-32 ] N448.4 : Type {8,300}_150 Order 2400 mV = 100 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-38 * R^2 * S^-1 * R * S^4 * T * S^-32 ] Genus 449 N449.1 : Type {6,450}_225 Order 2700 mV = 225 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-113 * R^3 * S^9 * T * S^-103 ] N449.2 : Type {10,226}_565 Order 2260 mV = 113 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-57 * R^2 * S^-4 * T * R^-3 * S^-1 * T * S^3 * T * S^-48 ] N449.3 : Type {18,114}_171 Order 2052 mV = 57 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-29 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-20 ] N449.4 : Type {30,66}_165 Order 1980 mV = 33 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-17 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 ] N449.5 : Type {34,58}_493 Order 1972 mV = 29 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^15 * R^-10 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 450 N450.1 : Type {4,18}_9 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * 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 * T * S^-1, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * S^-1 * T * S ] N450.2 : Type {4,18}_18 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N450.3 : Type {4,18}_18 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-4 * R * S^-2 * R * S^3 * R^-1 * S * T, S^18 ] N450.4 : Type {4,18}_18 Order 4608 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-1 * T * S * R * S^-3 * R * S^-2 * R * S * R^-1 * S^-2 * R, S^18 ] N450.5 : Type {5,8}_5 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S ] N450.6 : Type {5,8}_5 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^-1 * S^-4 * R^2 * S^-1 * R^2 * S^4 * R^-2 * S * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R * S^2 ] N450.7 : Type {5,8}_5 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N450.8 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-4 * R * S^-1 * R * S^4 * R^-1 * S, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N450.9 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^4 * R^-1 * S * R^-1 * T ] N450.10 : Type {5,8}_10 Order 5120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-3 * R^-2 * S^-3 * R^2 * S^-1 * R, S^-2 * R * S^-1 * R^-1 * S * R^-2 * S^4 * R^-1 * S * R^-1 * T ] N450.11 : Type {6,10}_4 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-2)^4, S^2 * R^2 * S^-3 * R^-2 * S * R^-1 * S^3 * R^-1 * S, S * R^-1 * S * T * S^-1 * R^-2 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^3 ] N450.12 : Type {6,10}_5 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, R^-1 * S^-5 * R^3 * S^5 * R^-2 ] N450.13 : Type {6,10}_5 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1 * R)^4 ] N450.14 : Type {6,10}_8 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2, S^2 * R * S^-3 * R^-1 * S * R^-2 * S^4 * R^-2 ] N450.15 : Type {6,10}_8 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S * R^-1 * S^-2, S^-1 * T * R^2 * S^-1 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S^-1 * R^2 * S^-1 ] N450.16 : Type {6,10}_8 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S * R^3 * S * R^-2 * S * T ] N450.17 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3 ] N450.18 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N450.19 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, (S^-1 * R^2 * S^-1)^3, R^-1 * S^-5 * R^3 * S^5 * R^-2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T ] N450.20 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^-5 * R^3 * S^5 * R^-2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-2 * S * R^-1 * S^-1 * R^2 * T ] N450.21 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4, R^-1 * S^-5 * R^3 * S^5 * R^-2, R^-1 * S * R * S^-1 * R^2 * S^-1 * R^-1 * S^2 * R^-2 * S^-4 ] N450.22 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (R * S^-1 * R)^4, (S^-2 * R * S^-1)^3, R^-1 * S^-5 * R^3 * S^5 * R^-2, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R, S^-1 * R^2 * S^-3 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R^2 * T ] N450.23 : Type {6,10}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4 ] N450.24 : Type {6,10}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N450.25 : Type {6,10}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S^-2, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 * T * S ] N450.26 : Type {6,10}_10 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S^-1 * R ] N450.27 : Type {6,115}_115 Order 2760 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-12 * R * S * R^-1 * S^-3 * R * S * R^-1 * S^-6 ] N450.28 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N450.29 : Type {8,12}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N450.30 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2)^4 ] N450.31 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-2)^4, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, (R * S^-3 * R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R^-2 * S * R^-3 * S^-1 * R^3 * T ] N450.32 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T, S^12 ] N450.33 : Type {8,12}_12 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, R * T * S * R^3 * S^-2 * R^2 * S * R^-3 * S^-2 ] N450.34 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^12 ] N450.35 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S * R^-1 * S^-2 * T, S^12 ] N450.36 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, S^3 * R * S^-2 * R^-2 * S^4 * R^-1 * S^-1 * T * R^-1 ] N450.37 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^12, R^-1 * S * R * S^-4 * R^-2 * S^2 * R^-1 * S^-3 * T ] N450.38 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-4 * R^-2 * S^2 * R^-1 * S^-3 * T ] N450.39 : Type {8,12}_12 Order 3072 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^12, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^3 * R * S^-2 * R^-2 * S^4 * R^-1 * S^-1 * T * R^-1 ] N450.40 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1 ] N450.41 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R^-2 * S * R^-3 * S^-1 * R^3 * T ] N450.42 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, R * T * S * R * S^-2 * R * S^-1 * R^4 * S^-1 * R^2 * S^-1 ] N450.43 : Type {8,12}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12 ] N450.44 : Type {8,24}_16 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-5 * T, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^2 ] N450.45 : Type {8,24}_16 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S^2 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-3 * T, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-2 * S^2 ] N450.46 : Type {8,24}_24 Order 2688 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S^-2 * T ] N450.47 : Type {8,24}_24 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-5)^2 ] N450.48 : Type {8,24}_56 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S * T ] N450.49 : Type {8,24}_56 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-2 * S * R^-2 * S * R^-2 * S * R^-1 * S^-4 * T * S, R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * T * R^2 ] N450.50 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-5 * T * S ] N450.51 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, R^-1 * T * S^-1 * R^2 * S^-2 * R^-2 * S^-7 ] N450.52 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-3 * R * S^2 * T ] N450.53 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-4)^2, R * S^-2 * R * S^-2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S * R * T * S * R * S^-2 * R^2 * S^-3 * R * S^3 ] N450.54 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^10 * R * S^-1 * R * S^2 * R^-2 * T * S^-2 * R * S^5 ] N450.55 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^11 * R^-1 * S^-2 * R^2 * S^-1 * R * T * S^-1 * R * S^5 ] N450.56 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^40 ] N450.57 : Type {8,40}_40 Order 2560 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^40 ] Genus 451 N451.1 : Type {4,453}_453 Order 3624 mV = 151 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-453 ] Genus 452 N452.1 : Type {4,24}_8 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-2 * R^-1 * S^2 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^-2, S^2 * R * S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^-3 * R * S * R^-1 ] N452.2 : Type {4,24}_15 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^3 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^-3 * T ] N452.3 : Type {4,24}_24 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * R * S^-1, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N452.4 : Type {4,24}_24 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R * S^-1 * R * S^-3 * R^2 * S^-3 * R * S^-1 * R * S^2, S^3 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S^2 ] N452.5 : Type {6,8}_10 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S, S^-1 * R * S^-3 * R * S^-3 * R * S^-3 * R * S^-2 * T * S^2 * R^-2 * S^-2 ] N452.6 : Type {6,8}_10 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2 * R^-1 * S, S^-1 * R^-1 * S * R * S^-2 * R * S^-3 * R * S^-3 * R * S^-2 * T * S^2 * R^-2 * S^-2 ] N452.7 : Type {6,8}_12 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, R^-1 * S^-4 * R^2 * S^-1 * R^2 * S^4 * R^-1 * S ] N452.8 : Type {6,228}_57 Order 2736 mV = 57 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-29 * R^2 * S^-2 * R * S^2 * T * S^-24 ] N452.9 : Type {8,16}_5 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-3 * R^4 * S^-5 ] N452.10 : Type {8,16}_10 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^2 * R * S^-1 * R^-2 * S^-2 * R^2 * T, S^-3 * R^4 * S^-5 ] N452.11 : Type {8,36}_9 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-3 * R * S^-2 * R^-1 * S * R^-1 * S^3 * T ] N452.12 : Type {8,36}_18 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S * T * S^-1 * R^-1 * S * R^2 * S^-1 * R^-1 * S^5 * R^-1 ] N452.13 : Type {24,84}_21 Order 2016 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-11 * R^2 * S^-4 * R * S^2 * T * S^-4 ] N452.14 : Type {24,84}_42 Order 2016 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-11 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-6 ] Genus 453 N453.1 : Type {6,454}_681 Order 2724 mV = 227 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-114 * R^3 * S^9 * T * S^-104 ] Genus 454 N454.1 : Type {4,456}_456 Order 3648 mV = 152 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^114 * R^2 * S * R^-1 * S^-3 * T * S^110 ] N454.2 : Type {4,456}_456 Order 3648 mV = 152 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^456 ] N454.3 : Type {8,78}_39 Order 2496 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-20 * R^2 * S^-4 * R * S * T * S^-14 ] Genus 455 No non-orientable regular maps of genus 455 Genus 456 N456.1 : Type {12,184}_69 Order 2208 mV = 46 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-12 * R^2 * S^-1 * R * S^3 * T * S^-3 * R^2 * S^-4 ] N456.2 : Type {12,184}_138 Order 2208 mV = 46 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-12 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-7 ] Genus 457 N457.1 : Type {4,459}_459 Order 3672 mV = 153 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-459 ] N457.2 : Type {6,458}_687 Order 2748 mV = 229 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-115 * R^3 * S^9 * T * S^-105 ] N457.3 : Type {10,230}_115 Order 2300 mV = 115 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-58 * R^3 * S^3 * T * S^-1 * R^-2 * S^-1 * T * S^3 * T * S^-49 ] N457.4 : Type {14,24}_24 Order 2352 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-3 * R^2)^2, S^-3 * R^-1 * S^2 * R^2 * S * R^-1 * S^-2 * R * S * T * S^-3 ] N457.5 : Type {14,24}_24 Order 2352 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^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^-1 * R^-1 * S^4 * R^3 * S^-5 * T * S^2 ] N457.6 : Type {14,154}_77 Order 2156 mV = 77 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-39 * R^7 * S^7 * T * S^-31 ] N457.7 : Type {26,78}_39 Order 2028 mV = 39 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-20 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-7 ] Genus 458 N458.1 : Type {5,6}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-2 * R * S^-3 * R^2 * S^3 * R * S^-2 * R^-1, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * T * S ] N458.2 : Type {5,6}_19 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S^2 * R * T * R^-1 ] N458.3 : Type {10,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S^-1, R^3 * S^-1 * R^4 * S^4 * R^-1 * S^-1, R^2 * S^-1 * R * S^-1 * R^3 * S^-3 * R * S^-1 * T ] N458.4 : Type {10,12}_12 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, S^-1 * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S^-1, R^3 * S^-1 * R^4 * S^4 * R^-1 * S^-1, R^2 * S^-1 * R * S^-1 * R^3 * S^2 * R^-1 * S^-2 * T ] Genus 459 No non-orientable regular maps of genus 459 Genus 460 N460.1 : Type {4,462}_231 Order 3696 mV = 154 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-116 * R^2 * S^-1 * R * S^3 * T * S^-111 ] N460.2 : Type {4,462}_462 Order 3696 mV = 154 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^462 ] N460.3 : Type {36,56}_63 Order 2016 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-8 * S^-5 * T * S ] N460.4 : Type {36,56}_126 Order 2016 mV = 14 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^2 * R * S^-1 * R^-5 * S^2 * R^-3 * S^-1 * T * S ] Genus 461 N461.1 : Type {4,16}_8 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-2 * R^-1 * S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-2 * R * S^-1 * R ] N461.2 : Type {4,16}_9 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^2 * R^-1 * S^3 * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S ] N461.3 : Type {4,16}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1, S^-2 * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^3 * T ] N461.4 : Type {4,16}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S, S^-2 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S * T * S^-1 ] N461.5 : Type {5,9}_5 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N461.6 : Type {6,54}_3 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-1 * S^3 * R^-1 * S * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S * R^-1 * S * R^-1 * S^5 * R^-1 * S^3 * R^-1 * S * R^-1 * S^5 ] N461.7 : Type {6,54}_9 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^7 * R^-1 * S * R^-2 * S * R^-1 * S^7 ] N461.8 : Type {6,54}_9 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-3 * R * S^-1 * R^-2 * S^10 * T * S^-3 ] N461.9 : Type {6,54}_27 Order 2916 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, R * S^-1 * R^-1 * S^3 * R * S^-1 * R * S^4 * R^-1 * T ] N461.10 : Type {6,54}_27 Order 2916 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, (R * S^-1)^6, S^-2 * R^-1 * S^2 * R^-2 * S * R * S^-1 * R * S^3 * T ] N461.11 : Type {6,54}_27 Order 2916 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-14 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-7 ] N461.12 : Type {6,54}_27 Order 2916 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-14 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-7 ] N461.13 : Type {6,156}_52 Order 2808 mV = 39 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^13 * R^2 * S^2 * R^-1 * S^-1 * R * T * R^-1 * S^10 ] N461.14 : Type {6,156}_156 Order 2808 mV = 39 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^39 * R * S^-1 * R * S^2 * R^-1 * T * S^36 ] N461.15 : Type {6,156}_156 Order 2808 mV = 39 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^13 * R^2 * S * R^-2 * S^3 * T * S^-2 * R * S^7 ] N461.16 : Type {6,462}_231 Order 2772 mV = 231 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-116 * R^3 * S^9 * T * S^-106 ] N461.17 : Type {22,94}_517 Order 2068 mV = 47 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-24 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-13 ] Genus 462 N462.1 : Type {10,60}_20 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S * T * S^-1 ] N462.2 : Type {10,60}_20 Order 2400 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S * R^-1 * S^-6 * R^-1 * S^3 * R^-1 * S^-3 * R * S^6 * R^2 * S ] N462.3 : Type {10,60}_20 Order 2400 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, S^-4 * R^2 * S^-1 * R^2 * S^-1 * R * S^4 * T ] N462.4 : Type {10,60}_20 Order 2400 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^10 * R^2 * S * R^-1 * S^-4 * T * R^-1 * S^-1 * R * S^4 ] Genus 463 N463.1 : Type {4,465}_465 Order 3720 mV = 155 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-465 ] Genus 464 N464.1 : Type {4,26}_12 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-1 * T * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] N464.2 : Type {4,26}_12 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, S * R * S^-2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^2, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^5 * T ] N464.3 : Type {6,10}_6 Order 3960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^-2 * S * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 ] N464.4 : Type {18,60}_45 Order 2160 mV = 15 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-3 * S^6 * R^-2 * S * R * S^-2 * R * S * R^-1 * S^-1 * T * R^-1 * S^-4 ] N464.5 : Type {26,26}_7 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, (R * S^-1)^6, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N464.6 : Type {26,26}_14 Order 2184 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1, S^-2 * R^5 * S^-2 * R * S * T ] Genus 465 N465.1 : Type {6,466}_699 Order 2796 mV = 233 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-117 * R^3 * S^9 * T * S^-107 ] N465.2 : Type {10,234}_585 Order 2340 mV = 117 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-59 * R^3 * S^3 * T * S^-1 * R^-2 * S^-1 * T * S^3 * T * S^-50 ] N465.3 : Type {18,118}_531 Order 2124 mV = 59 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-30 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-21 ] Genus 466 N466.1 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^15 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^11 ] N466.2 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^15 * R^-1 * S^-4 * R * T * S^-4 * R * S^7 ] N466.3 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^30 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^26 ] N466.4 : Type {4,120}_120 Order 3840 mV = 20 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^120 ] N466.5 : Type {4,120}_120 Order 3840 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^15 * R^2 * S^6 * T * R * S * R^-1 * S^-1 * R * S^7 ] N466.6 : Type {4,120}_120 Order 3840 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^15 * R^2 * S^2 * R^-1 * S^-1 * R * T * S^-3 * R * S^9 ] N466.7 : Type {4,120}_120 Order 3840 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^30 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S^26 ] N466.8 : Type {4,120}_120 Order 3840 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^120 ] N466.9 : Type {4,468}_468 Order 3744 mV = 156 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^117 * R^2 * S * R^-1 * S^-3 * T * S^113 ] N466.10 : Type {4,468}_468 Order 3744 mV = 156 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^468 ] N466.11 : Type {6,32}_3 Order 3072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-10 * R * S^-1 * T * R^-1 * S^4 * R^3 * S^-16 ] N466.12 : Type {8,80}_80 Order 2560 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^10 * R * S^-1 * R * S^2 * R^-2 * T * S^-2 * R * S^5 ] N466.13 : Type {8,80}_80 Order 2560 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^11 * R^-1 * S^-2 * R^2 * S^-1 * R * T * S^-1 * R * S^5 ] N466.14 : Type {8,80}_80 Order 2560 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^20 * R^3 * S^-5 * R * S^15 ] N466.15 : Type {8,80}_80 Order 2560 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^20 * R^3 * S^-5 * R * S^15 ] N466.16 : Type {8,312}_312 Order 2496 mV = 104 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^39 * R^2 * S * R^-1 * S^-4 * T * S^34 ] N466.17 : Type {8,312}_312 Order 2496 mV = 104 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^39 * R * S^-1 * R^2 * S^-2 * T * S^36 ] Genus 467 No non-orientable regular maps of genus 467 Genus 468 N468.1 : Type {6,236}_177 Order 2832 mV = 59 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-30 * R^-2 * S^-5 * T * R^-1 * S^-24 ] N468.2 : Type {20,54}_135 Order 2160 mV = 9 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^9 * S^-2 * R * S^-2, S^-14 * R^2 * S^-4 * T * R^-2 * S^3 * R * S^-6 ] Genus 469 N469.1 : Type {4,471}_471 Order 3768 mV = 157 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-471 ] N469.2 : Type {6,470}_705 Order 2820 mV = 235 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-118 * R^3 * S^9 * T * S^-108 ] N469.3 : Type {14,158}_553 Order 2212 mV = 79 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-40 * R^7 * S^7 * T * S^-32 ] N469.4 : Type {38,54}_513 Order 2052 mV = 27 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-9 * T * R * S^-2 * R * S * T * S^-2 * R^11 * S^7 * T * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 470 N470.1 : Type {3,12}_12 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R * S^-1)^6, S * T * R * S^-6 * R^-1 * S^5 * R^-1 * S^4 ] N470.2 : Type {3,12}_13 Order 11232 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T * S^-1 ] N470.3 : Type {4,17}_9 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, R^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N470.4 : Type {4,17}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, R * S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R * S^-2 * R * S * R^-1 * S^-1 * R * S^2 ] N470.5 : Type {4,30}_12 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] N470.6 : Type {4,30}_30 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2, S^3 * R^-1 * S * R * S^-2 * R^2 * S^4 * R^-1 * S^-1 * T * S ] N470.7 : Type {6,120}_15 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^3 * R * S^-4 * R^-2 * S^-5 * R * S * T * R * S^2 ] N470.8 : Type {6,120}_120 Order 2880 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-2 * R^-1 * T * S^-3 * R^-1 * S * R^2 * S^3 * R^-1 * S^-3 ] N470.9 : Type {6,120}_120 Order 2880 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^12 * R * S^-2 * R * S^3 * R^-1 * S^-1 * T * S^6 ] N470.10 : Type {8,20}_4 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-4)^2, (R * S^-1 * R)^4, R * S^-1 * R * S^-2 * R^3 * S * R^-2 * S^2 * T ] N470.11 : Type {8,20}_4 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-4)^2, (R * S^-1 * R)^4, R^3 * S^-2 * R^3 * S^2 * R^-1 * S^2 * T ] N470.12 : Type {8,20}_20 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R * S^-1 * R^-1 * S * R^3 * S * R^-1 * S^2 * R^-1 * T ] N470.13 : Type {8,20}_20 Order 2880 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-3 * R * S^-1)^2 ] N470.14 : Type {10,22}_3 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2)^4, (R * S^-1 * R * S^-1 * R * S^-1 * R)^2 ] N470.15 : Type {10,22}_5 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N470.16 : Type {10,22}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2)^4, (R * S^-1 * R * S^-1 * R * S^-1 * R)^2, S^-6 * R^2 * S * R^-1 * S^3 * T ] N470.17 : Type {10,22}_10 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3 * R)^2, S^-2 * R * S^-1 * R^4 * S^-1 * R * S^-4, R^-1 * S * R * S^-1 * R^4 * S * R^-1 * S^-3 * T ] N470.18 : Type {17,17}_8 Order 2448 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4, R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 ] N470.19 : Type {30,30}_3 Order 2160 mV = 3 mF = 3 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-3 * R^2)^2, (R * S^-1)^6 ] Genus 471 N471.1 : Type {6,70}_15 Order 2940 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^3 * R * S^-4 * R^-2 * S^-5 * R * S * T * R * S^2, S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S * R^-1 * S^4 * T * S^-2 ] Genus 472 N472.1 : Type {4,474}_237 Order 3792 mV = 158 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-119 * R^2 * S^-1 * R * S^5 * T * S^-112 ] N472.2 : Type {4,474}_474 Order 3792 mV = 158 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^474 ] N472.3 : Type {12,40}_3 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R^-1 * S * R^-1 * S^2 ] N472.4 : Type {12,40}_6 Order 2400 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R * S^-1 * R^-2 * S^10 * T * S^-4 ] Genus 473 N473.1 : Type {6,474}_237 Order 2844 mV = 237 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-119 * R^3 * S^9 * T * S^-109 ] N473.2 : Type {10,238}_595 Order 2380 mV = 119 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-60 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-51 ] Genus 474 N474.1 : Type {8,42}_42 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^42 ] N474.2 : Type {8,42}_42 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^42 ] Genus 475 N475.1 : Type {3,7}_21 Order 39732 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * 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 * T * S^-2 * R * S^-1, S * R^-1 * S^2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-3 * R^-1 * S * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S ] N475.2 : Type {3,7}_22 Order 39732 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^7, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S^3 * R * S^-2 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * R * T * S^2 * R^-1 * S^-1 ] N475.3 : Type {4,477}_477 Order 3816 mV = 159 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-477 ] Genus 476 N476.1 : Type {30,36}_45 Order 2160 mV = 9 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^3 * S^-4 * R^2 * S^-2 * R^5 * S * R^-1 * S^-1 * T * R^-2 * S * R^2 ] Genus 477 N477.1 : Type {3,25}_25 Order 7500 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-4 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-5 * R * S^-1, S * R^-1 * S * T * S^-1 * R^-1 * S^2 * R^-1 * S^10 * R^-1 * S^2, S^-1 * R * S^-2 * R^-1 * S^3 * R * S^-3 * R * S^3 * R^-1 * S^-2 * R * S^-2 * R * S^-1 ] N477.2 : Type {4,9}_5 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * T ] N477.3 : Type {4,9}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^4 * R * S^-1 * R * S^3 * R^-1 * S^-2, S * R^-1 * S^4 * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R * T ] N477.4 : Type {4,9}_20 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^9, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T ] N477.5 : Type {6,478}_717 Order 2868 mV = 239 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-120 * R^3 * S^9 * T * S^-110 ] N477.6 : Type {9,9}_3 Order 3420 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T ] N477.7 : Type {9,9}_9 Order 3420 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, S * R^-3 * S * R^4 * S^-1 * R^4 * T ] N477.8 : Type {9,9}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^3 * S * R^-2 * S^-1 * R, R^2 * S^-1 * R * S^-1 * R^3 * S * R^-1 * S^-1 * R * S * T ] N477.9 : Type {9,9}_10 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-4 * R)^2 ] N477.10 : Type {10,12}_60 Order 3000 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^12, (R * S^-1 * R * S^-1 * R^3)^2, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * T ] N477.11 : Type {10,50}_25 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-13 * R^-3 * S^2 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-7 ] N477.12 : Type {10,50}_25 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T ] N477.13 : Type {10,50}_25 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-3 * R^2)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, S * R^2 * S^-1 * R^-3 * S^-5 * T ] N477.14 : Type {10,50}_25 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^2 * S^-1 * R^-3 * S^4 * T ] N477.15 : Type {10,50}_25 Order 2500 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-3 * R^2)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * T ] N477.16 : Type {30,70}_105 Order 2100 mV = 35 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-18 * R^-7 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-3 ] Genus 478 N478.1 : Type {4,18}_8 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-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 * S^-3 * R * S * R^-1 * S^-1, S^-1 * T * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-2 * R ] N478.2 : Type {4,18}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * T * S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S^-3, S * T * R^-1 * S * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S^2 ] N478.3 : Type {4,18}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-5 * T, S^-1 * R^-1 * S * R * S^-1 * R * S^-2 * R^-2 * S^-1 * R * S^-4 * R ] N478.4 : Type {4,18}_17 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-6 * T ] N478.5 : Type {4,18}_17 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, S * R * S^-2 * R * S^-2 * R * S^6 ] N478.6 : Type {4,18}_34 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S * R * S^-2 * R * S^-2 * R * S^6 ] N478.7 : Type {4,18}_34 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (S * R^-1 * S)^3, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N478.8 : Type {4,480}_480 Order 3840 mV = 160 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^120 * R^2 * S * R^-1 * S^-3 * T * S^116 ] N478.9 : Type {4,480}_480 Order 3840 mV = 160 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^480 ] N478.10 : Type {5,15}_15 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, S^-2 * R * S^-1 * R * S^-1 * R * S^-2 * R * S * T, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 ] N478.11 : Type {5,15}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, S^-2 * R^2 * S^-2 * R^-2 * S * R^-1 * S^-4 * R, S^2 * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^2 * R^-1 * S^-1 * T * R^-1 ] N478.12 : Type {12,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S^-2 * R^6 * S^-6, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^2 * R^2 * S^-2 * R^-1 * S^2 * R^-1 * S^3 * R^-1 * S^-1 * T ] N478.13 : Type {12,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^3 * S * R^-1 * S^-1 * R, S^-2 * R^6 * S^-6, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^2 * R * S^-3 * R^-1 * S^3 * R^-1 * S * R^-1 * S^-1 * T * R^-1 ] Genus 479 N479.1 : Type {6,162}_81 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-14 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-9 ] N479.2 : Type {6,162}_81 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-14 * R^2 * S^-4 * R * S * T * S^-8 ] N479.3 : Type {6,162}_81 Order 2916 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-41 * R^2 * S^-4 * R * S * T * S^-35 ] N479.4 : Type {18,42}_21 Order 2268 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, S^-11 * R^2 * S^-4 * R * S * T * S^-5 ] N479.5 : Type {18,42}_63 Order 2268 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^18, S^-11 * R^4 * S^-5 * T * R * S^-2 * R^3 * S * R^-1 * S^-2 ] N479.6 : Type {18,42}_63 Order 2268 mV = 7 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-11 * R^-1 * S * R^-3 * S^-1 * T * S^5 * R * S^-3 ] Genus 480 No non-orientable regular maps of genus 480 Genus 481 N481.1 : Type {4,483}_483 Order 3864 mV = 161 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-483 ] N481.2 : Type {6,482}_723 Order 2892 mV = 241 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-121 * R^3 * S^9 * T * S^-111 ] N481.3 : Type {10,242}_605 Order 2420 mV = 121 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-61 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-52 ] N481.4 : Type {14,162}_567 Order 2268 mV = 81 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-41 * R^7 * S^7 * T * S^-33 ] N481.5 : Type {18,122}_549 Order 2196 mV = 61 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-31 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-22 ] N481.6 : Type {22,98}_539 Order 2156 mV = 49 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-25 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-14 ] N481.7 : Type {26,82}_533 Order 2132 mV = 41 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-21 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-8 ] N481.8 : Type {34,62}_527 Order 2108 mV = 31 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-16 * R^9 * S^6 * T * 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 ] N481.9 : Type {42,50}_525 Order 2100 mV = 25 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^5 * R^-1 * S^-1 * R * S^2 * T * S^-2 * R^-3 * T * S^-3 * R^-11 * S * T * S^-4 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 482 N482.1 : Type {4,12}_15 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^-2 * R * S * R^-1 * S^-1, S * T * R * S^-3 * R * S^-2 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 ] N482.2 : Type {4,12}_16 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, (R * S^-5)^2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2 ] N482.3 : Type {4,12}_16 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S^-2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^2 * R * S^-4 * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * T ] N482.4 : Type {4,12}_30 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R * S^-1 * R * S^3 * R^-1 * S * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-1 * R * T * S^-1 ] N482.5 : Type {4,24}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S^3 * R^-1 * S * T ] N482.6 : Type {4,24}_16 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, R^-1 * S * R * S^-1 * R^-1 * S^2 * R * S^-2 * R^-2 * S^-1 * R * S^2 * R^-1 * S^-3 ] N482.7 : Type {5,6}_20 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-2 * S * R^-1, S * R^2 * S^-1 * R * S^-1 * R^-2 * S^3 * R * S^-2 * R * T ] N482.8 : Type {6,7}_5 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N482.9 : Type {6,7}_6 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R * S^3 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R^2 * T ] N482.10 : Type {6,7}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^7, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 * T, (S * R^-2 * S^2)^3 ] N482.11 : Type {6,12}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^12, S * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S^-1 * R^2 * S^2, S^-1 * R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R^2 * T ] N482.12 : Type {6,12}_12 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^-3 * R * S^-2 * R^2 * S^-2 * R * S^-3 ] N482.13 : Type {6,18}_36 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, R^-1 * S * R^-2 * S * R * S^-1 * R^-2 * S^-4 * R * S * T * S^-1 ] N482.14 : Type {6,18}_36 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N482.15 : Type {6,63}_63 Order 3024 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2 ] N482.16 : Type {8,56}_8 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R^3 * S, S^-1 * R * S^-1 * R * S^-1 * R^3 * S^2 * R^-2 * S * T ] N482.17 : Type {8,56}_8 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^2 * R * S^-3 * R^-1 * S * R^-1 * S^-1 * R^3 * S, S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^3 * T ] N482.18 : Type {8,56}_24 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R^2 * S * R^-1 * S * T ] N482.19 : Type {8,56}_24 Order 2688 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4 * R)^2, S * T * R^3 * S^-1 * R^-3 * S^2 * R^-1 * S^2 * R^-2 ] N482.20 : Type {9,14}_3 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R * S^-1 * R)^2 ] N482.21 : Type {9,14}_21 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, R^-2 * S * R^-1 * S * R^-2 * S^6, R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-2 * T ] N482.22 : Type {9,14}_21 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S^-4 * R^-3 * S * R^-1 * S^-2 * R * S^-1 ] N482.23 : Type {12,12}_5 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^12, S^-1 * R^6 * S^-5, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S ] N482.24 : Type {12,12}_10 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, S^-1 * R^6 * S^-5, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S^-1 * R^-1 * S * R^-4 * S * R^-1 * S^-1 * R * S * T ] N482.25 : Type {12,12}_15 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R^3 * S^-1 * R^3 * S^5, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-1 * R^2 * S^-1 * R^-3 * S * R^-1 * S^-1 * R * S * T ] N482.26 : Type {20,20}_15 Order 2400 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-2 * S * R^-4 * S^2 * R^-1 * S^-2 * T ] N482.27 : Type {20,20}_30 Order 2400 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^-1 * T * S^-1 * R^-1 * S^3 * R^4 * S^2 * R^-1 * S ] N482.28 : Type {24,24}_3 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1 * R)^2 ] N482.29 : Type {24,24}_6 Order 2304 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-3 * R^-3 * S * R^-1 * S * R^-1 * T ] N482.30 : Type {24,24}_6 Order 2304 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-2 * R * S^-1 * R)^2, S^-1 * T * S * R * S^-1 * R^10 ] Genus 483 No non-orientable regular maps of genus 483 Genus 484 N484.1 : Type {4,486}_243 Order 3888 mV = 162 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-122 * R^2 * S^-1 * R * S^5 * T * S^-115 ] N484.2 : Type {4,486}_486 Order 3888 mV = 162 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^486 ] N484.3 : Type {6,244}_183 Order 2928 mV = 61 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-31 * R^2 * S^-2 * R * S^2 * T * S^-26 ] N484.4 : Type {8,324}_81 Order 2592 mV = 108 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-41 * R^2 * S^-1 * R * S^4 * T * S^-35 ] N484.5 : Type {8,324}_162 Order 2592 mV = 108 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-41 * R * S * R^-1 * S^-4 * T * R^-1 * S^-35 ] Genus 485 N485.1 : Type {4,11}_11 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^11, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^2 * R * S^-1 * R^-1 * S * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T * S ] N485.2 : Type {4,11}_11 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^11, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N485.3 : Type {4,11}_12 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^11, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^2 * R * S^-1 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 ] N485.4 : Type {4,46}_4 Order 4232 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * T * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] N485.5 : Type {6,164}_164 Order 2952 mV = 41 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^41 * R * S^-1 * R * S^2 * R^-1 * T * S^38 ] N485.6 : Type {6,486}_243 Order 2916 mV = 243 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-122 * R^3 * S^9 * T * S^-112 ] N485.7 : Type {46,46}_23 Order 2116 mV = 23 mF = 23 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-7 * R^-11 * S^2 * T * S^-1 * R^-1 * S^2 * R^-2 * T * S^-2 * T * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 ] Genus 486 N486.1 : Type {4,125}_125 Order 4000 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-125 ] Genus 487 N487.1 : Type {4,489}_489 Order 3912 mV = 163 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-489 ] Genus 488 N488.1 : Type {6,12}_9 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^12, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N488.2 : Type {6,12}_9 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^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, S^12, (R * S^-4 * R * S^-1)^2, R^-1 * S * R^2 * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * T * S ] N488.3 : Type {6,12}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S^12, R^-2 * T * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^2 * R^-2 * S^-2 ] N488.4 : Type {6,84}_21 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-4 * R, S^-11 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-4 ] N488.5 : Type {10,16}_3 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-5 * R)^2, R * S^-2 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 * R * S^-1 ] N488.6 : Type {10,16}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-2 * R * S^-1 * R^-2 * S^4 * T, R * S^-2 * R^2 * S^-1 * R^3 * S^-2 * R * S^-2 * R * S^-1 ] N488.7 : Type {12,24}_9 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S^-1 * R^-2 * S * R^-3 * S^2 * R^-2 * S * T, (R * S^-4 * R * S^-1)^2 ] N488.8 : Type {12,24}_9 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R * S^-1 * R^-1 * S^3 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * T, S * R^-1 * T * S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^5 ] N488.9 : Type {12,24}_9 Order 2592 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * T * S * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R ] N488.10 : Type {12,24}_18 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^12, (R * S^-1 * R^4)^2, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T, (R * S^-4 * R * S^-1)^2 ] N488.11 : Type {12,24}_18 Order 2592 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S * R^-1 * T * S^-2 * R * S^-1 * R^3 * S * R^-1 * S^4 * R^-1 ] N488.12 : Type {12,24}_18 Order 2592 mV = 2 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^12, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, R^-1 * S * R^-1 * S^2 * R * S^-1 * R^-2 * S^-1 * R * S^2 * R^-1 * S * T * S^-1 ] Genus 489 N489.1 : Type {6,490}_735 Order 2940 mV = 245 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-123 * R^3 * S^9 * T * S^-113 ] N489.2 : Type {10,246}_615 Order 2460 mV = 123 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-62 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-53 ] Genus 490 N490.1 : Type {4,126}_126 Order 4032 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^126 ] N490.2 : Type {4,492}_492 Order 3936 mV = 164 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^123 * R^2 * S * R^-1 * S^-3 * T * S^119 ] N490.3 : Type {4,492}_492 Order 3936 mV = 164 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^492 ] N490.4 : Type {8,84}_21 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-11 * R^2 * S^-4 * R * S * T * S^-5 ] N490.5 : Type {8,84}_42 Order 2688 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-11 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-6 ] N490.6 : Type {8,84}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^21 * R^4 * S^21 ] N490.7 : Type {8,84}_84 Order 2688 mV = 14 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^21 * R^3 * S^-6 * R * S^15 ] N490.8 : Type {16,72}_9 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * T * S^-1 * R^-1 * S^3 * R^2 * S^2 * R^-1 * S^-3 ] N490.9 : Type {16,72}_18 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, R^-1 * S^4 * R^-2 * S^5 * T ] N490.10 : Type {16,72}_36 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^3 * R * S^-1 * R^-2 * S^-5 * T ] N490.11 : Type {16,72}_36 Order 2304 mV = 12 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^-1 * T * S * R * S^-3 * R^2 * S^-2 * R^2 * S^-2 ] Genus 491 No non-orientable regular maps of genus 491 Genus 492 N492.1 : Type {4,102}_85 Order 4080 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^-5 * R^-1 * S * R * S^-1 * R^-1 * S * R^-2 * S^7 * T * S^-2 ] N492.2 : Type {6,52}_65 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S * R * T * S^5 * R^2 * S * R^-1 * S^-6 ] N492.3 : Type {12,22}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-1 * R^4 * S^-1 * R * S^4, R * T * S * R^4 * S^-1 * R * S^-2 * R * S^-1 * R^2 ] N492.4 : Type {12,22}_6 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N492.5 : Type {12,22}_11 Order 2640 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-4 * S^2 * R^-1 * S^-1 * T, R^12, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] N492.6 : Type {12,22}_22 Order 2640 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-3 * R^2)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1 ] Genus 493 N493.1 : Type {4,495}_495 Order 3960 mV = 165 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-495 ] N493.2 : Type {6,494}_741 Order 2964 mV = 247 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-124 * R^3 * S^9 * T * S^-114 ] N493.3 : Type {14,166}_581 Order 2324 mV = 83 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-42 * R^7 * S^7 * T * S^-34 ] Genus 494 N494.1 : Type {5,17}_15 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^-1 * S^2 * R^2 * S^2 * R^-1 * S * R^-1 * S^-1, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1, R * T * S * R * S^-2 * R * S^-2 * R * S^-2 * R * S^2, R^-1 * S * R * S^-3 * R^-2 * S * R^-1 * S^3 * R^-1 * S ] N494.2 : Type {5,17}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^4, S * T * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^2 * R^-2 * S * R^-1 * S ] N494.3 : Type {5,17}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R * S^-1)^2, (R * S^-3 * R * S^-2)^2, S^-1 * T * S * R * S^-2 * R * S^-2 * R^2 * S^-2 * R * S^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-3 * R^2 * S^2 * R^-1 * S ] N494.4 : Type {5,17}_17 Order 4080 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-2 * R * S^-2 * R)^2, S * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-3 * T ] N494.5 : Type {10,105}_21 Order 2520 mV = 21 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-11 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-6 ] Genus 495 No non-orientable regular maps of genus 495 Genus 496 N496.1 : Type {4,498}_249 Order 3984 mV = 166 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-125 * R^2 * S^-1 * R * S^5 * T * S^-118 ] N496.2 : Type {4,498}_498 Order 3984 mV = 166 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^498 ] N496.3 : Type {9,10}_3 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R^-2 * S)^5 ] N496.4 : Type {9,10}_5 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N496.5 : Type {9,10}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, R * S^-1 * R^-1 * S * R^-2 * S^2 * R^3 * S^2 * R^-1 * S^-1, R^-1 * T * S^-1 * R^-3 * S^2 * R^-1 * S^-3 * R^2 * S^-1 ] N496.6 : Type {9,10}_9 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N496.7 : Type {9,10}_10 Order 3420 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, (S^-1 * R)^5, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^3 * R^-4 * S^3 * R^-1 * S^-1 * T ] N496.8 : Type {12,200}_75 Order 2400 mV = 50 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-13 * R * S * R^-2 * S^4 * T * R * S^2 * R^-1 * S^-5 ] N496.9 : Type {12,200}_150 Order 2400 mV = 50 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-13 * R^2 * S^-2 * R * S^2 * T * S^-8 ] Genus 497 N497.1 : Type {6,12}_15 Order 3960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^12, R * S^-5 * R^2 * S^2 * R^-1 * S^-2 * T, S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-2 * S * T ] N497.2 : Type {6,12}_33 Order 3960 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, S^2 * R^-2 * S * R * S^-1 * R * S^-3 * R * T ] N497.3 : Type {6,498}_249 Order 2988 mV = 249 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-125 * R^3 * S^9 * T * S^-115 ] N497.4 : Type {10,52}_52 Order 2600 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^13 * R^3 * S^-1 * R^3 * S * T * S^-1 * R * S^10 ] N497.5 : Type {10,250}_125 Order 2500 mV = 125 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-63 * R^-4 * S^-3 * T * S * R * S^-1 * T * S^3 * T * S^-54 ] N497.6 : Type {18,126}_63 Order 2268 mV = 63 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-32 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-23 ] Genus 498 N498.1 : Type {4,35}_35 Order 4480 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-6)^2, S^-1 * T * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^-35 ] N498.2 : Type {5,24}_8 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, S * T * R^2 * S^-1 * R * S^-1 * R^-2 * S^5 * R^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 ] N498.3 : Type {5,24}_8 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^5, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, R^-1 * S * R^2 * S^-1 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-3 * T ] Genus 499 N499.1 : Type {4,501}_501 Order 4008 mV = 167 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-501 ] Genus 500 N500.1 : Type {6,252}_63 Order 3024 mV = 63 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-32 * R^-2 * S^-5 * T * R^-1 * S^-26 ] N500.2 : Type {10,44}_66 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^11 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^7 ] N500.3 : Type {12,102}_51 Order 2448 mV = 17 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-26 * R^2 * S^-4 * R * S * T * S^-20 ] Genus 501 N501.1 : Type {6,502}_753 Order 3012 mV = 251 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-126 * R^3 * S^9 * T * S^-116 ] N501.2 : Type {22,102}_561 Order 2244 mV = 51 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-26 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-15 ] Genus 502 N502.1 : Type {4,504}_504 Order 4032 mV = 168 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^126 * R^2 * S * R^-1 * S^-3 * T * S^122 ] N502.2 : Type {4,504}_504 Order 4032 mV = 168 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^504 ] N502.3 : Type {6,78}_78 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^13 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^8 ] N502.4 : Type {8,336}_336 Order 2688 mV = 112 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^42 * R^2 * S * R^-1 * S^-4 * T * S^37 ] N502.5 : Type {8,336}_336 Order 2688 mV = 112 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^42 * R * S^-1 * R^2 * S^-2 * T * S^39 ] Genus 503 No non-orientable regular maps of genus 503 Genus 504 No non-orientable regular maps of genus 504 Genus 505 N505.1 : Type {4,507}_507 Order 4056 mV = 169 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-507 ] N505.2 : Type {6,506}_759 Order 3036 mV = 253 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-127 * R^3 * S^9 * T * S^-117 ] N505.3 : Type {10,254}_635 Order 2540 mV = 127 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-64 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-55 ] N505.4 : Type {14,170}_595 Order 2380 mV = 85 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-43 * R^7 * S^7 * T * S^-35 ] N505.5 : Type {26,86}_559 Order 2236 mV = 43 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-22 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-9 ] N505.6 : Type {30,74}_555 Order 2220 mV = 37 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-19 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-4 ] N505.7 : Type {38,58}_551 Order 2204 mV = 29 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 * T * S^-2 * R^-1 * T * S^-3 * R^-11 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 506 N506.1 : Type {3,10}_12 Order 15120 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^6, S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1, S * R^-1 * S^2 * T * R * S^-3 * R * S^-2 * R^-2 * S^-3 * R * S^2 * R^-1 * S^3 ] N506.2 : Type {4,16}_48 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S^16 ] N506.3 : Type {4,16}_48 Order 5376 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-2, S * T * S^-1 * R^-1 * S^5 * R^-1 * S^-1 * R * S * R^-1 * S * R^-1 ] N506.4 : Type {4,18}_18 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^18 ] N506.5 : Type {4,130}_65 Order 4160 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-33 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-27 ] N506.6 : Type {4,130}_130 Order 4160 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^130 ] N506.7 : Type {5,10}_7 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^5, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^-3 * R, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-2 * T ] N506.8 : Type {6,10}_6 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, R^-1 * S^-5 * R^3 * S^5 * R^-2, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1, R^-1 * S^3 * R^-2 * S * R^3 * S * R^-2 * S^3, R^-1 * T * S^-1 * R^-1 * S^2 * R^-3 * S^2 * R^-2 * S * R^-1 * S ] N506.9 : Type {6,10}_6 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * T * S^-1 * R^-1 * S^2 * R^-3 * S^2 * R^-2 * S * R^-1 * S ] N506.10 : Type {6,10}_6 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-1 * R)^4, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-2 * S * T ] N506.11 : Type {6,10}_8 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^-2 * R^-1 * S^3 * R * S^-3 * R^-2 * S^-3 * R * S^-3 * T * R^-1 * S^-2 ] N506.12 : Type {6,10}_8 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-2)^4, S^-1 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^-3 * R * S * T * S^-2 ] N506.13 : Type {6,12}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N506.14 : Type {6,12}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^12 ] N506.15 : Type {6,24}_4 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, S^2 * R^-1 * S^2 * R^-3 * S^-2 * R * T, R * S^-1 * R^-2 * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-1 ] N506.16 : Type {6,24}_8 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-1 * R ] N506.17 : Type {6,24}_8 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, S * R^2 * S^-2 * R^2 * S^5, S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N506.18 : Type {6,24}_12 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S^-1 * R^-1 * S * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S^-1, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N506.19 : Type {6,24}_12 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^4, S^-5 * R^2 * S * R^-1 * S^-1 * R * S^-1, S * R^-2 * S * R * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^-1 * T ] N506.20 : Type {6,24}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-1 * R * S^-2 * R * S^-1 ] N506.21 : Type {6,24}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-1 * R)^4, (R * S^-1)^6, S^-3 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S * T ] N506.22 : Type {6,24}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-3 * R * T, S^-5 * R^-3 * S^-1 * R^2 * S^2 * T, S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N506.23 : Type {6,24}_24 Order 3456 mV = 3 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 * R * S^2, S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2 * R * S^2 ] N506.24 : Type {6,30}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, R^-1 * S^3 * R * S^-1 * R^-2 * S^-3 * R * S * R^-1 * S^-2 ] N506.25 : Type {8,12}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S^2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S, S^12 ] N506.26 : Type {9,18}_9 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R^-1 * S * R^-4 * S * R^-1 * S * R^-1 * S^-1 * T ] N506.27 : Type {9,18}_9 Order 3024 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-2 * R * S^-1)^2, R * S^-3 * R^-3 * S * R^-2 * S * R^-1 * S^-1, S * T * S^-1 * R^-1 * S^2 * R * S^-1 * R * S^3 * R^-2 * S ] N506.28 : Type {10,20}_5 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2 ] N506.29 : Type {10,20}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-1 * R^-4 * S * R^3 * S * R^-4 * S^-1 ] N506.30 : Type {10,20}_8 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T ] N506.31 : Type {10,20}_10 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^3 * R^-2 * T ] N506.32 : Type {10,20}_20 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (R * S^-2 * R^3)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T ] N506.33 : Type {10,20}_20 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^5 * S * R^-3 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S * R * S^-2 * R * S^-1 * R^2 * S^3 * R^-1 * S * R^-1 ] N506.34 : Type {12,36}_12 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, R^12, S^-5 * R^2 * S * R^-1 * S^2 * T ] N506.35 : Type {12,36}_12 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, R^12, R^-1 * S * R^3 * S^-1 * R^-2 * S^3 * R^-2 * S^-1 * T * R^-1, R * S^-1 * R^-1 * S^9 * R^-1 * S^-1 * T * S ] N506.36 : Type {12,36}_36 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^12, S^-2 * R^-1 * S^7 * R * S^-1 * R^3 * S^2 * T * S^-6 ] N506.37 : Type {12,36}_36 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^12, S^2 * R^5 * S^3 * R^-1 * S, S^-3 * R * S^-1 * R^3 * S^-2 * R * S^2 * T ] N506.38 : Type {12,36}_36 Order 2592 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^12, S^2 * R^5 * S^3 * R^-1 * S, S^-4 * R^3 * S * R^-2 * S * T ] N506.39 : Type {12,36}_36 Order 2592 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-2 * R^4)^2, S^-3 * R^5 * S * R^-1 * S^-1 * R * S * T ] N506.40 : Type {12,36}_36 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^12, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T, R * S^-1 * R^6 * S * R^-4 * T, R * S^-5 * R^-2 * S^-5 * R * S^2 ] N506.41 : Type {16,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3 ] N506.42 : Type {16,16}_16 Order 2688 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R * S^-1)^2, S^-4 * R * S^-1 * R * S^2 * R^-1 * S * T ] N506.43 : Type {24,48}_3 Order 2304 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R^4)^2, (R * S^-2 * R * S^-2 * R)^2, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] N506.44 : Type {24,48}_6 Order 2304 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-1 * R^4)^2, R * S^-1 * R^-5 * S^2 * R^-3 * T, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] N506.45 : Type {24,48}_12 Order 2304 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-8 * S^-1 * R * S^2 * T, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] N506.46 : Type {24,48}_12 Order 2304 mV = 6 mF = 4 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * T * S * R^2 * S^-1 * R^-3 * S^-1 * R^2 * S * R^-2 * S^-2, (R * S^-3 * R * S^-1 * R * S^-1)^2 ] Genus 507 No non-orientable regular maps of genus 507 Genus 508 N508.1 : Type {3,12}_11 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S * T, S^-1 * R^-1 * S^3 * R^-1 * S^4 * R^-1 * S^4 * R^-1 * S^3 * R^-1 * S^-1, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N508.2 : Type {3,12}_22 Order 12144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S * T * R * S^-6 * R^-1 * S^5 * R^-1 * S^4, S^-1 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S^-1 ] N508.3 : Type {4,12}_11 Order 6072 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N508.4 : Type {4,510}_255 Order 4080 mV = 170 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-128 * R^2 * S^-1 * R * S^5 * T * S^-121 ] N508.5 : Type {4,510}_510 Order 4080 mV = 170 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^510 ] Genus 509 N509.1 : Type {6,172}_172 Order 3096 mV = 43 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^43 * R * S^-1 * R * S^2 * R^-1 * T * S^40 ] N509.2 : Type {6,510}_255 Order 3060 mV = 255 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-128 * R^3 * S^9 * T * S^-118 ] Genus 510 N510.1 : Type {6,130}_65 Order 3120 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^-1 * R^-1 * S^3 * R^-2 * S * R^-1 * S^-1 * R * S^3 * T * S^-4 ] N510.2 : Type {6,130}_130 Order 3120 mV = 26 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^13 * R * S^-1 * R * S^2 * R^-1 * T * S^10 ] N510.3 : Type {8,45}_45 Order 2880 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-45 ] N510.4 : Type {8,45}_90 Order 2880 mV = 9 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-45 ] N510.5 : Type {10,66}_44 Order 2640 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-8 * R^-1 * S^6 * R^-1 * S^-1 * R * S * R^-1 * S^-6 ] N510.6 : Type {10,66}_55 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S^4 * R * S^-1 * R^-2 * S^-1 * R * S^4 * T * S^-1 ] N510.7 : Type {10,66}_110 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^11 * R * S^-1 * R^2 * S^-3 * T * S * R^-2 * S^6 ] Genus 511 N511.1 : Type {4,513}_513 Order 4104 mV = 171 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-513 ] Genus 512 N512.1 : Type {6,8}_16 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^2 * R^-2 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1, S^-2 * R^-2 * S * R^2 * S^-1 * R^3 * S^-1 * R * S * R^-2 * T ] N512.2 : Type {6,8}_18 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, S * R^2 * S^-3 * R^2 * S * R^-1 * S^3 * R^-1, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * R ] N512.3 : Type {6,20}_15 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1)^6, S^3 * R^2 * S^-1 * R^3 * S^-2 * R * S * R^-1 * T ] Genus 513 N513.1 : Type {6,514}_771 Order 3084 mV = 257 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-129 * R^3 * S^9 * T * S^-119 ] N513.2 : Type {10,258}_645 Order 2580 mV = 129 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-65 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-56 ] N513.3 : Type {18,130}_585 Order 2340 mV = 65 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-33 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-24 ] N513.4 : Type {34,66}_561 Order 2244 mV = 33 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^17 * R^-8 * S^2 * T * S^-3 * T * S^2 * T * 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 ] Genus 514 N514.1 : Type {4,12}_12 Order 6144 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N514.2 : Type {4,36}_9 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N514.3 : Type {4,36}_9 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1, S^2 * R^-1 * S * R * S^-2 * R^-1 * S^2 * R^-1 * S^-1 * R * S^-2 * R * S^2 ] N514.4 : Type {4,36}_18 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * S^-1 * T * S ] N514.5 : Type {4,36}_18 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N514.6 : Type {4,36}_36 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-6 * R, S^4 * T * S^-3 * R^-1 * S^2 * R^-3 * S^-1 * R * S^8 ] N514.7 : Type {4,36}_36 Order 4608 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^4 * R^-1 * S * R * S^-1 * R * S^2 * R^-1 * S^-1 * R * S^-1 * T, S^36 ] N514.8 : Type {4,36}_36 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-3 * R^-1 * S * R * S^-2 * R^2 * S^5 * R^-1 * S^-1 * R, S^-4 * R^-1 * S^5 * R^-1 * S^-6 * R * S * T * S^-2 ] N514.9 : Type {4,36}_36 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2)^4, S^-4 * R * S^-2 * R * S^3 * R^-1 * S * T, S^36 ] N514.10 : Type {4,36}_36 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-4 * R * S^-2 * R * S^3 * R^-1 * S * T, S^-3 * R^-1 * S * R * S^-5 * R^2 * S^-5 * R * S * R^-1 * S^-3 ] N514.11 : Type {4,36}_36 Order 4608 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S, S^-1 * T * S * R * S^-3 * R * S^-2 * R * S * R^-1 * S^-2 * R, S^-4 * R^-1 * S^5 * R^-1 * S^-6 * R * S * T * S^-2 ] N514.12 : Type {4,132}_132 Order 4224 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^33 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^29 ] N514.13 : Type {4,132}_132 Order 4224 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^132 ] N514.14 : Type {4,516}_516 Order 4128 mV = 172 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^129 * R^2 * S * R^-1 * S^-3 * T * S^125 ] N514.15 : Type {4,516}_516 Order 4128 mV = 172 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^516 ] N514.16 : Type {8,24}_3 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R * S^-1 * R * S^-2 * R * S^-1 * R^2 * S^-6 * R ] N514.17 : Type {8,24}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R * T * S * R^3 * S^-2 * R * S^-2 * R * S^-2 * R ] N514.18 : Type {8,24}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * T, S * R^-3 * S * R^4 * S^-2 * R^2 * S^-1 * T ] N514.19 : Type {8,24}_12 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S * R^-2 * S * R^4 * S * R^-3 * T, S^2 * R * S^-2 * R^-2 * S^2 * R^-2 * S^-1 * T ] N514.20 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1 * T ] N514.21 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R * S^-2 * R^3 * S^-2 * R * S^-1 * R ] N514.22 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1 * T ] N514.23 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-2)^4 ] N514.24 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N514.25 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T, S^24 ] N514.26 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^-1 * S * R^3 * S^3 * R^-1 * T, R * S^-5 * R^-2 * S^-5 * R * S^2 ] N514.27 : Type {8,24}_24 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, R * T * S * R^3 * S^-2 * R^2 * S * R^-3 * S^-2, R * S^-5 * R^-2 * S^-5 * R * S^2 ] N514.28 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-2 * R^3 * S * R^-1 * S^-2 * T, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] N514.29 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] N514.30 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, S^3 * R * S^-2 * R^-2 * S^4 * R^-1 * S^-1 * T * R^-1, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N514.31 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, R^-1 * S * R * S^-4 * R^-2 * S^2 * R^-1 * S^-3 * T, R * S^-1 * R^-1 * S^10 * R^-1 * S^-1 * R ] N514.32 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-4 * R^-2 * S^2 * R^-1 * S^-3 * T, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N514.33 : Type {8,24}_24 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^3 * R * S^-2 * R^-2 * S^4 * R^-1 * S^-1 * T * R^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N514.34 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, R * S^-3 * R * S^-1 * R * S^-4 * T ] N514.35 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, S^3 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1 * T ] N514.36 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, R * S^-3 * R * S^-1 * R * S^-4 * T, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S * R^-1 * S * R * S^-1 * R^3 * S^-2 * R^2 * S * R^-1 ] N514.37 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S * T, (R * S^-5)^2 ] N514.38 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2 ] N514.39 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^-1 * S * R^-3 * S * R^3 * S * R^-3 * S, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S * R^-1 * S * R * S^-1 * R^3 * S^-2 * R^2 * S * R^-1 ] N514.40 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, R * S^-3 * R * S^-1 * R * S^-4 * T ] N514.41 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-5)^2 ] N514.42 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^6 * T ] N514.43 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S * T * S^-6 * R^2 * S^-1 * R^2 * S^-2 * R * S^2 ] N514.44 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, (R * S^-5)^2, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^6 * T ] N514.45 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^24 ] N514.46 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^24 ] N514.47 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^2 * S^-1 * R^3 * S^-2 * R^3, S^24 ] N514.48 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, (R * S^-5)^2, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S, R * T * S * R * S^-2 * R * S^-1 * R^4 * S^-1 * R^2 * S^-1, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^6 * T ] N514.49 : Type {8,24}_24 Order 3072 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^2 * R * S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] Genus 515 N515.1 : Type {4,10}_18 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T, S^-2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 * R * S * R^-1 * S^-2 ] N515.2 : Type {4,10}_19 Order 6840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-2 * R^-2 * S^-2 * R * S * R^-1 * S^-2, R^-1 * S^4 * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S, R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * T * S ] N515.3 : Type {6,60}_60 Order 3240 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^15 * R * S^-1 * R * S^5 * T * S^-1 * R * S^8 ] N515.4 : Type {6,174}_87 Order 3132 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-44 * R^2 * S^-4 * R * S * T * S^-38 ] N515.5 : Type {10,10}_9 Order 3420 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T, S^-1 * R^-2 * S * R^-3 * S^3 * R^-1 * S * T, S * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * T ] Genus 516 N516.1 : Type {6,260}_195 Order 3120 mV = 65 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-33 * R^2 * S^-2 * R * S^2 * T * S^-28 ] Genus 517 N517.1 : Type {4,519}_519 Order 4152 mV = 173 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-519 ] N517.2 : Type {6,518}_777 Order 3108 mV = 259 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-130 * R^3 * S^9 * T * S^-120 ] N517.3 : Type {10,54}_27 Order 2700 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-14 * R^2 * S^-4 * R * S * T * S^-8 ] N517.4 : Type {14,174}_609 Order 2436 mV = 87 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-44 * R^7 * S^7 * T * S^-36 ] Genus 518 N518.1 : Type {10,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^2 * R * S^-2 * R^-1 * S^2 * R * S^-6 * T ] N518.2 : Type {10,24}_24 Order 2880 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-2 * R^2)^2, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^24 ] N518.3 : Type {10,24}_24 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1 * R, R^-1 * S * R * S^-5 * R^-3 * S * R^-2 * S^2 * T * S^-3 ] N518.4 : Type {10,24}_24 Order 2880 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^24 ] N518.5 : Type {10,24}_120 Order 2880 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S * R * S^-3 * R^2 * S^-1 * R^-4 * S^-4 * T * S^3 * R^-1 ] N518.6 : Type {10,24}_120 Order 2880 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^24 ] N518.7 : Type {10,110}_33 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S^-1 * T * S^5 * R^-2 * S * R^-2 * S^2 * R^-1 * S^-2 ] N518.8 : Type {10,110}_66 Order 2640 mV = 22 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^11 * R * S^-3 * R^2 * S^-1 * T * S^7 ] Genus 519 No non-orientable regular maps of genus 519 Genus 520 N520.1 : Type {4,522}_261 Order 4176 mV = 174 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-131 * R^2 * S^-1 * R * S^5 * T * S^-124 ] N520.2 : Type {4,522}_522 Order 4176 mV = 174 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^522 ] N520.3 : Type {6,40}_20 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-3 * T, S * R^2 * S^-1 * R * S^-1 * R^2 * S^3 * R^-1 * S^2 ] N520.4 : Type {6,40}_30 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-3 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * T, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] N520.5 : Type {6,40}_35 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-3 * R^2 * S^-1 * R^2 * S^-6, S^-1 * T * S * R * S^-1 * R * S^-2 * R * S^-3 * R^2 * S^-1 ] N520.6 : Type {6,40}_40 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-3 * R^2 * S^-1 * R^2 * S^-6, S^-1 * T * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] N520.7 : Type {8,348}_87 Order 2784 mV = 116 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-44 * R * S * R^-1 * S^-4 * T * R^-1 * S^-38 ] N520.8 : Type {8,348}_174 Order 2784 mV = 116 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-44 * R^2 * S^-1 * R * S^4 * T * S^-38 ] N520.9 : Type {28,42}_21 Order 2352 mV = 7 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^-1 * S * R^10 * S * R^-2 * S^-2 * R^-1, S^-11 * R^-4 * S^-1 * R * S * T * R * S * R^-1 * S^-7 ] Genus 521 N521.1 : Type {6,522}_261 Order 3132 mV = 261 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-131 * R^3 * S^9 * T * S^-121 ] N521.2 : Type {10,262}_655 Order 2620 mV = 131 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-66 * R^5 * S^2 * T * S^-3 * T * S^3 * T * S^-57 ] N521.3 : Type {22,106}_583 Order 2332 mV = 53 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-27 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-16 ] N521.4 : Type {42,54}_189 Order 2268 mV = 27 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-7 * R^-1 * S^2 * T * R^2 * S^-2 * R^2 * T * S^3 * R^10 * S^7 * R^-1 * T * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 522 N522.1 : Type {20,60}_5 Order 2400 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N522.2 : Type {20,60}_10 Order 2400 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R * T * R^-7 * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] Genus 523 N523.1 : Type {4,525}_525 Order 4200 mV = 175 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-525 ] Genus 524 N524.1 : Type {12,72}_3 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R^2)^2, R * S^-3 * R * S^-1 * R * S^-1 * R^-3 * S * R^-1 * S * R^3 * S^-1 * R * S^-1 * R * S^-3 * R * S^-1 * R * S^-1 ] N524.2 : Type {12,72}_6 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^-1 * S^4 * T * S^-1 * R * S^-3 * R * S^-1 * R * S^-3 * R * S^-1 * T * S^2 * R^-1 * S^3 ] N524.3 : Type {12,72}_9 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4, R * S^-1 * R^-1 * S^3 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * T ] N524.4 : Type {12,72}_9 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R * S^-1 * R^-1 * S^3 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * T, S^2 * T * S^-1 * R * S^-1 * R^4 * S^7 ] N524.5 : Type {12,72}_18 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-4 * R * S^-1 * R^2 * S^-1 * R * S^-4 ] N524.6 : Type {12,72}_18 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, R^-1 * T * S^-1 * R^-2 * S^10 ] Genus 525 N525.1 : Type {6,526}_789 Order 3156 mV = 263 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-132 * R^3 * S^9 * T * S^-122 ] Genus 526 N526.1 : Type {4,135}_135 Order 4320 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-135 ] N526.2 : Type {4,528}_528 Order 4224 mV = 176 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^132 * R^2 * S * R^-1 * S^-3 * T * S^128 ] N526.3 : Type {4,528}_528 Order 4224 mV = 176 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^528 ] N526.4 : Type {8,90}_45 Order 2880 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-23 * R^2 * S^-4 * R * S * T * S^-17 ] N526.5 : Type {8,90}_45 Order 2880 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^-23 * R^4 * S^-22 ] N526.6 : Type {8,90}_90 Order 2880 mV = 18 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^-23 * R^4 * S^-22 ] Genus 527 N527.1 : Type {8,36}_63 Order 3024 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-3 * S * R^-3 * S^-1 * R * S^6, S^-1 * R^-1 * T * S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^2 * S * R^-2 * S^-1 * R ] Genus 528 N528.1 : Type {18,68}_153 Order 2448 mV = 17 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^18, S^-9 * R^4 * S^-2 * R * S^2 * T * S^-1 * R * S^2 * R^3 * S^-1 ] Genus 529 N529.1 : Type {4,531}_531 Order 4248 mV = 177 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-531 ] N529.2 : Type {6,34}_3 Order 3468 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^15 * R^-1 * S * R^-2 * S * R^-1 * S^15 ] N529.3 : Type {6,530}_795 Order 3180 mV = 265 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-133 * R^3 * S^9 * T * S^-123 ] N529.4 : Type {10,266}_665 Order 2660 mV = 133 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-67 * R^5 * S^8 * T * S^-58 ] N529.5 : Type {14,178}_623 Order 2492 mV = 89 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-45 * R^7 * S^7 * T * S^-37 ] N529.6 : Type {18,134}_603 Order 2412 mV = 67 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-34 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-25 ] N529.7 : Type {26,90}_585 Order 2340 mV = 45 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-23 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-10 ] N529.8 : Type {46,50}_575 Order 2300 mV = 25 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^3 * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-1 * R^2 * S^-1 * R^-1 * T * S^-3 * R^-11 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 530 N530.1 : Type {4,20}_12 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T * S^-1 ] N530.2 : Type {4,20}_12 Order 5280 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-3 * R * S^-1)^2, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N530.3 : Type {4,20}_44 Order 5280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^-1 * R * S^-1 * R * S^-3 * R^-1 * S^2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2, R * S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^3 ] N530.4 : Type {4,20}_44 Order 5280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * T * R^-1 * S * R^-1 * S * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R * S^2 ] N530.5 : Type {6,15}_6 Order 3960 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S^-1 * R * S * R^-2 * S^2 ] N530.6 : Type {6,135}_135 Order 3240 mV = 27 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-14 * R^2 * S^-1 * R^2 * S^-12 ] N530.7 : Type {8,10}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N530.8 : Type {8,10}_6 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S * R^3 * S^-1 * R^-4 * S^-2 * R * S^2 * T * R^-1 ] N530.9 : Type {8,10}_6 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * T * S^-1 * R^-2 * S * R^4 * S * R^-3 * S^2 ] N530.10 : Type {8,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (S^-1 * R^2 * S^-1)^3, S * R^-1 * S^2 * R^-1 * S * R^-2 * S^-1 * R^3 * S * R^-1, R^-1 * T * S^-1 * R^-3 * S^2 * R^-1 * S^-1 * R^2 * S^-1 * R * S ] N530.11 : Type {8,10}_12 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, (S^-1 * R^2 * S^-1)^3, S * R^-1 * S^2 * R^-1 * S * R^-2 * S^-1 * R^3 * S * R^-1, R^-2 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * T ] N530.12 : Type {8,10}_24 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-2 * S^2, R^-2 * S * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S * T ] N530.13 : Type {8,10}_24 Order 3840 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R^-1 * S * R * S^-2 * R^-2 * S^2 * R^-2 * S^2, S^-1 * R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-1 * R * S^-1 * R, R^-1 * T * S^-1 * R^-3 * S^2 * R^-1 * S^-1 * R^2 * S^-1 * R * S ] N530.14 : Type {12,20}_6 Order 2880 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-2 * R * S^-1)^2, R^12, (S^-1 * R^2 * S^-1)^3 ] N530.15 : Type {12,20}_24 Order 2880 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2 * R * S^-1)^2, R^12, (R * S^-5 * R)^2, S^2 * R * S^-2 * R^3 * S^3 * R^-2 * S^-1 * T * S ] N530.16 : Type {12,20}_24 Order 2880 mV = 2 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-5 * R)^2 ] Genus 531 No non-orientable regular maps of genus 531 Genus 532 N532.1 : Type {4,534}_267 Order 4272 mV = 178 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-134 * R^2 * S^-1 * R * S^5 * T * S^-127 ] N532.2 : Type {4,534}_534 Order 4272 mV = 178 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^534 ] N532.3 : Type {6,56}_35 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-3 * R^2 * S^-1 * R^3 * S * R^-2 * S^2 * T, S * R^2 * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 ] N532.4 : Type {6,56}_70 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^-2 * S^2 * R^-2 * S^2 * R^-1 * S^-2 * T ] N532.5 : Type {6,268}_201 Order 3216 mV = 67 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-34 * R^-2 * S^-5 * T * R^-1 * S^-28 ] Genus 533 N533.1 : Type {4,63}_63 Order 4536 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^10 * R * S^-1 * R * S^4 * R^-1 * S^-2 * R * S^4 ] N533.2 : Type {6,180}_180 Order 3240 mV = 45 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^45 * R * S^-1 * R * S^5 * T * S^-1 * R * S^38 ] N533.3 : Type {6,180}_180 Order 3240 mV = 45 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^15 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 * R * S^10 ] N533.4 : Type {6,180}_180 Order 3240 mV = 45 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^15 * R^2 * S * R^-2 * S^3 * T * S^-2 * R * S^9 ] N533.5 : Type {6,534}_267 Order 3204 mV = 267 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-134 * R^3 * S^9 * T * S^-124 ] N533.6 : Type {30,78}_195 Order 2340 mV = 39 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-20 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-5 ] Genus 534 N534.1 : Type {4,42}_56 Order 4704 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-3 * R^-1 * S^2 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-2 ] N534.2 : Type {6,136}_51 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^-2 * R^-1 * S * R * S^-6 * R^-1 * S * R^-1 * S^-3 * T * S^2 * R^-1 * S^-2 ] N534.3 : Type {10,69}_115 Order 2760 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-13 * R * S * R^-1 * S^-1 * R * S * T * R * S * R^-1 * S^-6 ] N534.4 : Type {16,24}_24 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R * S^-1)^2, (R * S^-5)^2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3, R^-3 * S * R^4 * S^5 * T ] N534.5 : Type {16,24}_24 Order 2688 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R * S^-1)^2, (R * S^-5)^2, S^-1 * R^-1 * S * R^5 * S * R^-1 * S^-1 * R^3, R^3 * S^-1 * R^4 * S^-5 * T ] N534.6 : Type {16,24}_56 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * T, R^-1 * S * R^3 * S^-1 * R^-4 * S^-1 * R^3 * S * R^-1 ] N534.7 : Type {16,24}_56 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^-6 * S * R^-1 * S * R^-2 * S * R^-1 * T ] Genus 535 N535.1 : Type {4,537}_537 Order 4296 mV = 179 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-537 ] Genus 536 N536.1 : Type {12,216}_27 Order 2592 mV = 54 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-14 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-9 ] N536.2 : Type {12,216}_54 Order 2592 mV = 54 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-14 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-7 ] Genus 537 N537.1 : Type {6,110}_33 Order 3300 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-2 * R^2 * S^-3 * R^-3 * S^3 * R^-2 * S * T * S^-2 ] N537.2 : Type {6,538}_807 Order 3228 mV = 269 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-135 * R^3 * S^9 * T * S^-125 ] N537.3 : Type {10,270}_135 Order 2700 mV = 135 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-68 * R^5 * S^8 * T * S^-59 ] Genus 538 N538.1 : Type {4,138}_138 Order 4416 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^138 ] N538.2 : Type {4,540}_540 Order 4320 mV = 180 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^135 * R^2 * S * R^-1 * S^-3 * T * S^131 ] N538.3 : Type {4,540}_540 Order 4320 mV = 180 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^540 ] N538.4 : Type {6,70}_35 Order 3360 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-2 * S * R^3 * S^4 * T, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3 ] N538.5 : Type {6,70}_70 Order 3360 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1, S^3 * R^-2 * S * R * S^-1 * R^-2 * S^-2 * R * S^2 * R^-1 * S^-1 * T ] N538.6 : Type {8,360}_360 Order 2880 mV = 120 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^46 * R^-1 * S^-4 * T * R^-1 * S^-1 * R * S^39 ] N538.7 : Type {8,360}_360 Order 2880 mV = 120 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^45 * R * S^-1 * R^2 * S^-3 * T * S^41 ] N538.8 : Type {10,36}_45 Order 2880 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^4 * S^-1 * R^-2 * S^-1 * R^4 * S, R^-1 * S^5 * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N538.9 : Type {12,56}_21 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^2 * R^-2 * S^3 * R^3 * S^-1 * R^2 * S^-1 * T ] N538.10 : Type {12,56}_42 Order 2688 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^-1 * S^3 * R^-2 * S * R^3 * S^-3 * R * T ] Genus 539 No non-orientable regular maps of genus 539 Genus 540 No non-orientable regular maps of genus 540 Genus 541 N541.1 : Type {3,28}_21 Order 8232 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R * S^-1 * R * S^-3 * R * S^2, S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * R^-1 * T * S^-2 * R * S^-2 * R * S^-1 ] N541.2 : Type {4,543}_543 Order 4344 mV = 181 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-543 ] N541.3 : Type {6,14}_21 Order 4116 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^14, S * R^-2 * S * R^-2 * S^3 * R^-3 * S^-1 * R^2 * S^-3 * R * T * S^2 * R^-1 ] N541.4 : Type {6,14}_21 Order 4116 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^14, S * T * R * S^-2 * R^2 * S^-1 * R^2 * S^4 * R^-2 * S ] N541.5 : Type {6,542}_813 Order 3252 mV = 271 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-136 * R^3 * S^9 * T * S^-126 ] N541.6 : Type {12,22}_12 Order 2904 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^12, (R * S^-3 * R^2)^2 ] N541.7 : Type {12,22}_12 Order 2904 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, (R * S^-3 * R)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S ] N541.8 : Type {12,22}_12 Order 2904 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R^2 * S^-1 * R * S, R^12, R * S^-1 * R * S^-1 * R^-1 * S^4 * R^-1 * S * R^-1 * S * R^-1 * S^3 * T * S^-1 * R * S * R^-2 * S^-1 * R * S^-1 ] N541.9 : Type {14,28}_4 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, (R * S^-3)^2, R^14, R^-2 * T * S^-1 * R^-5 * S * R^-1 * S * R^-1 * S * R^-2 ] N541.10 : Type {14,28}_28 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, R^14, R^-2 * S * R * S^-2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-2 * R * S * T * S^-1 * R * S^2 ] N541.11 : Type {14,28}_28 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R^-1 * S * R^4 * S * R^-1 * S^-1 * R^2, R^-1 * S * R^2 * S^-1 * R^2 * S * R^-1 * S^-3, R^14, R * T * R^-1 * S * R^-5 * S * R^-1 * S * R^-1 * S^-1 * R^2 ] N541.12 : Type {14,28}_28 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^3)^2, S^-2 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1, R^14, R^-2 * T * S^-1 * R^-5 * S * R^-3 * S * R^-1 * S ] N541.13 : Type {14,28}_28 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, (R * S^-3)^2, R^14, R^2 * S^-1 * R^2 * S^-1 * R^-3 * S * R^-3 * S * R^-1 * T ] N541.14 : Type {14,28}_28 Order 2744 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R)^4, S^-1 * R^2 * S^-2 * R^2 * S^-5, R^14, S^-2 * R^-3 * S * R^-3 * S * R^-1 * S * R^-1 * S * R^-1 * T ] N541.15 : Type {14,28}_28 Order 2744 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R^-1 * S * R^2 * S^5, R^14, S * R * S^-2 * R^4 * S * R^-1 * S * R^-2 * S, R * S^-1 * R^-7 * S * R^-5 * T ] N541.16 : Type {14,182}_91 Order 2548 mV = 91 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-46 * R^7 * S^7 * T * S^-38 ] N541.17 : Type {22,110}_55 Order 2420 mV = 55 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-28 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-17 ] N541.18 : Type {38,62}_589 Order 2356 mV = 31 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-11 * T * S^2 * R * T * S^3 * R^10 * S^7 * R^-1 * T * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 542 N542.1 : Type {4,8}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2, (R * S^-2 * R * S^-1 * R * S^-1)^2, S^-2 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R^-2 * S^-2 * R * S * R^-1 * S^-1 * R * S * R^-1 * T * S^-1 ] N542.2 : Type {4,8}_24 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, S^-2 * R^-2 * S^-4 * R^2 * S^4 * R^2 * S^-2 ] N542.3 : Type {4,8}_60 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T ] N542.4 : Type {4,8}_60 Order 8640 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^-1 * T * R^-1 * S^3 * R^-1 * S^3 * R^-1 * S^4 * R * S^-2 ] N542.5 : Type {4,10}_6 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-2)^4, S * T * R * S^-1 * R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, S^3 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-3 * R * S * R^-1 * S * R^-1 * S ] N542.6 : Type {4,10}_10 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, (R * S^-2)^4, S^-1 * T * S * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^2 * R^-1 * S^-1, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-3 * R * S * R^-1 * S^-2, S^-1 * R * S^-5 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-2 ] N542.7 : Type {4,10}_10 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, 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^-4 * R^-1 * S * R * S^-1 * R * S^-3 * R * S * R^-1 * S^-2 ] N542.8 : Type {4,10}_15 Order 7200 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^5, (S^-2 * R * S^-1)^3, S^-4 * T * R^-2 * S^5 * R^2 * S^-1, R * S^-1 * 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^-1 * T * R^-1 * S^-1 * R * S^2 ] N542.9 : Type {4,16}_40 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * T, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N542.10 : Type {4,16}_40 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-2 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 * T, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N542.11 : Type {4,24}_24 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^2 * R * S^-1 * R * S^-1 * R * S^-3 * R^2 * S^-1 * R * S^3 * R^-1 * S^-1 * T * S^2 ] N542.12 : Type {4,24}_24 Order 5184 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^24 ] N542.13 : Type {4,34}_9 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N542.14 : Type {4,34}_9 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R * S * T * S^-1 ] N542.15 : Type {4,34}_18 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, R^-1 * S^3 * R^-1 * S * R * S^-1 * R * S^-2 * R * S * R^-1 * S^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^-3 * R * S * R^-1 * S^2 ] N542.16 : Type {4,34}_18 Order 4896 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (S * R^-1 * S)^3, S^2 * R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S ] N542.17 : Type {6,8}_9 Order 5184 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-3 * R^2, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-1 * R * T * S^-2 ] N542.18 : Type {6,12}_8 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * T ] N542.19 : Type {6,12}_12 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2 ] N542.20 : Type {6,12}_24 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * T, S^-2 * R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S * T * S^-1 ] N542.21 : Type {6,12}_24 Order 4320 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S^-2 * T, S * T * S^-1 * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R^2 * S ] N542.22 : Type {6,30}_15 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^-1 * S * R * S^-6 * R^-2 * S^-1 * R * S^4 * T * S^-3 ] N542.23 : Type {6,30}_30 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^30 ] N542.24 : Type {6,30}_30 Order 3600 mV = 6 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^30 ] N542.25 : Type {6,84}_84 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2)^4, S^-3 * R^-1 * S^4 * R^-1 * S^-1 * R * S * R^-2 * S * T * S^-4 ] N542.26 : Type {6,84}_84 Order 3360 mV = 14 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-1 * T, S^14 * R * S^-1 * R * S^3 * R^-1 * S^-2 * R * S^8 ] N542.27 : Type {8,8}_5 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T ] N542.28 : Type {8,8}_8 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^3 * R^-1 * S^4 * T, (R * S^-1)^6, R^-3 * S * R^-4 * S^-1 * R^3 * S^-1 * T, S * R * S^-1 * R * S^-1 * R^-3 * S * R^-2 * S^-1 * R^3 * S ] N542.29 : Type {8,8}_10 Order 4320 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^8, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-4 * S^-4 * R^4 * S^4 * T ] N542.30 : Type {10,25}_75 Order 3000 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-25 ] N542.31 : Type {10,115}_69 Order 2760 mV = 23 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-12 * R^-1 * S^5 * T * R * S * R^-1 * S^-5 ] N542.32 : Type {16,16}_5 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-3 * R^2)^2 ] N542.33 : Type {16,16}_10 Order 2880 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-2 * R * S^-1)^2, (R * S^-3 * R^2)^2, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T ] Genus 543 No non-orientable regular maps of genus 543 Genus 544 N544.1 : Type {4,546}_273 Order 4368 mV = 182 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-137 * R^2 * S^-1 * R * S^5 * T * S^-130 ] N544.2 : Type {4,546}_546 Order 4368 mV = 182 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^546 ] Genus 545 N545.1 : Type {6,546}_273 Order 3276 mV = 273 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-137 * R^3 * S^9 * T * S^-127 ] N545.2 : Type {8,63}_9 Order 3024 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1)^6, S * T * S^-1 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-2 * R * S, S * T * R^3 * S^-1 * R^-3 * S^2 * R^-1 * S^2 * R^-2 ] N545.3 : Type {8,63}_36 Order 3024 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R^2)^2, R * S^-1 * R^-3 * S * R^3 * S * R^-3 * S^-1, S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R^3 * T, S * T * S^-1 * R^-1 * S * R * S^-2 * R^-3 * S^4 ] N545.4 : Type {10,274}_685 Order 2740 mV = 137 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-69 * R^5 * S^8 * T * S^-60 ] N545.5 : Type {18,138}_207 Order 2484 mV = 69 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-35 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-26 ] N545.6 : Type {34,70}_595 Order 2380 mV = 35 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^-18 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * 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 ] Genus 546 N546.1 : Type {3,30}_17 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-5 * R^-1 * S^2 * R^-1 * S^-5 * R * S^2, S^-1 * R^-1 * S^2 * R * S^-2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * T * S^-1 ] N546.2 : Type {3,30}_34 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-3 * R * S^4 * R^-1 * S^-1 * T, (S^2 * R^-1 * S^6 * R^-1 * S)^2 ] N546.3 : Type {4,21}_21 Order 5376 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, S^2 * R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S^4 * R^-1 * S^-1 * R * T, S^-21 ] N546.4 : Type {4,21}_42 Order 5376 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^2, (R * S^-6)^2, S^-1 * T * S * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S^-2, S^-21 ] N546.5 : Type {4,140}_35 Order 4480 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-18 * R * S * R^-1 * S^-2 * R * S * R^-1 * S^-1 * T * S^2 * R^-1 * S^-10 ] N546.6 : Type {4,140}_70 Order 4480 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^-18 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-12 ] N546.7 : Type {4,140}_140 Order 4480 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^35 * R^2 * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * T * S^31 ] N546.8 : Type {4,140}_140 Order 4480 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^140 ] N546.9 : Type {6,9}_4 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N546.10 : Type {6,9}_6 Order 4896 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R^-1 * S * R^-2 * S * R^2 * S^2 * R^-1 * S * T ] N546.11 : Type {6,9}_9 Order 4896 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T ] N546.12 : Type {6,9}_17 Order 4896 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-1 * T * S * R * S^-2 * R * S^-2 * R^-2 * S^-1 * R * S^-2 * R * S^-3 ] N546.13 : Type {6,9}_34 Order 4896 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^9, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-1 * T * S * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-3 ] N546.14 : Type {8,14}_7 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * T ] N546.15 : Type {8,14}_7 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * T ] N546.16 : Type {8,14}_7 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * T ] N546.17 : Type {8,14}_7 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * T, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-5 * R ] N546.18 : Type {8,14}_7 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-5 * R^4 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^2 * S^-2 * R^-1 * S * R * S^-1 * R^2 * S^-2 * T ] N546.19 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * T ] N546.20 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * T ] N546.21 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-6)^2, S^14, R^-1 * S * R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1 * T * S^-1 ] N546.22 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, S^14, S^2 * R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * T * R^-1 ] N546.23 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-6)^2, S^14, S^2 * R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1 * S^-1 * T * R^-1 ] N546.24 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, S^14, R^-1 * S * R * S^-3 * R * S^-1 * R^2 * S^-1 * R * S^3 * R^-1 * T * S^-1 ] N546.25 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 * T * S ] N546.26 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-5 * R, R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 * T * S ] N546.27 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N546.28 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-5 * R, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N546.29 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S^-1, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * T ] N546.30 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, (R * S^-6)^2, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * T, R * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R * S^-5 * R ] N546.31 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-5 * R^4 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^-1 * S * R * S^-2 * R^-2 * S * R^-1 * S^2 * R^-1 * S^-1 * T * S ] N546.32 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-5 * R^4 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R * S^-1 * R^2 * S^-2 * R^-1 * S * R^2 * S * R^-1 * S^-2 * T ] N546.33 : Type {8,14}_14 Order 3584 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-5 * R^4 * S^-2, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1, R^-1 * S * R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N546.34 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, (R * S^-3 * R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^6 * T ] N546.35 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, (R * S^-5)^2, (R * S^-3 * R * S^-1 * R)^2, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N546.36 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^12 * R^3 * S^-1 * R * S^6 * R^2 * S^5 ] N546.37 : Type {8,48}_48 Order 3072 mV = 8 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^3 * S^-1 * R^-2 * S^-1 * R^3 * S^-1, S^-2 * R^2 * S^-1 * R^2 * S^3 * R^-1 * T, S^12 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^8 ] N546.38 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, R^-1 * S * T * R^-1 * S^2 * R * S^-2 * R^2 * S^-7 ] N546.39 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N546.40 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^6 * T ] N546.41 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^2 * T * S^-1 * R^-1 * S^3 * R^3 * S^-4 * R * S^2 ] N546.42 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^8 ] N546.43 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R^2 * S * R^-1 * S^-2 * R * S * T * S^-2 * R * S^6 ] N546.44 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^48 ] N546.45 : Type {8,48}_48 Order 3072 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^48 ] N546.46 : Type {12,16}_3 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^12, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] N546.47 : Type {12,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * T, R^-2 * S * R^5 * S^4 * R^-1 * S ] N546.48 : Type {12,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T ] N546.49 : Type {12,16}_6 Order 3072 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-2 * R * S^-1 * R^-2 * S^4 * T, R^12, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R * S^-3 ] N546.50 : Type {12,16}_6 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-2 * S * R^3 * S * R^-1 * S * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^6 * S^-6 ] N546.51 : Type {12,16}_6 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, R^12, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-2 * R^6 * S^-6 ] N546.52 : Type {12,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^-2 * S * R^3 * S * R^-1 * S * T, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^6 * S^-6, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] N546.53 : Type {12,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, R^2 * S^-1 * R^3 * S^-1 * R * S^-1 * T, R^12, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^6 * S^-6, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2 ] N546.54 : Type {12,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-2 * R^6 * S^-6, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2, S * T * S^-1 * R^-1 * S * R^3 * S^-2 * R * S^-2 * R * S^2 ] N546.55 : Type {12,16}_12 Order 3072 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, (R * S^-1 * R^4)^2, R^-1 * S * R^5 * S * R^-1 * S * R^-1 * S, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, S^-2 * R^6 * S^-6, R^-1 * S * R * S^-1 * R^4 * S^-1 * R * S * R^-1 * S^-2, R^-1 * T * S^-1 * R^-1 * S * R^3 * S^-2 * R^2 * S^-1 * R * S^2 ] Genus 547 N547.1 : Type {4,549}_549 Order 4392 mV = 183 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-549 ] Genus 548 N548.1 : Type {4,6}_21 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * T, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R ] N548.2 : Type {4,6}_42 Order 13104 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^-2 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * R ] N548.3 : Type {4,56}_7 Order 4704 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S * T, S * T * S^-1 * R^-1 * S^4 * R^-1 * S^2 * R^-1 * S^3 ] N548.4 : Type {4,56}_42 Order 4704 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, 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^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-8 ] N548.5 : Type {6,12}_6 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^-2, (R * S^-5 * R)^2 ] N548.6 : Type {6,12}_6 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, R^-1 * S^5 * R^-1 * S^6 * T, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-3 * R * S^-2 ] N548.7 : Type {6,12}_7 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T ] N548.8 : Type {6,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N548.9 : Type {6,12}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R^2 * S^-1 * R * S^2 * R^-1, S^-4 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * T ] N548.10 : Type {6,12}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T ] N548.11 : Type {6,12}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R^-1 * S^-6 * R^-1 * S * R^-1 * S^6 * R * T * S ] N548.12 : Type {6,12}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S * R^-1 * S^-6 * R^-2 * S^-1 * R * S^4 * T * S^-2 * R^-1 ] N548.13 : Type {6,16}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, (R * S^-2 * R * S^-1)^2 ] N548.14 : Type {6,16}_24 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, (R * S^-2 * R^2 * S^-1 * R)^2 ] N548.15 : Type {6,276}_69 Order 3312 mV = 69 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-35 * R^2 * S^-2 * R * S^2 * T * S^-30 ] N548.16 : Type {8,20}_35 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R * T * S * R^2 * S^-2 * R^2 * S^-2 * R^2 * S^-2 ] N548.17 : Type {8,20}_70 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^-2 * R^-1 * S^2 * R * S^-1 * R * S^5 * T, R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * T * R^2 ] Genus 549 N549.1 : Type {6,550}_825 Order 3300 mV = 275 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-138 * R^3 * S^9 * T * S^-128 ] Genus 550 N550.1 : Type {4,552}_552 Order 4416 mV = 184 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^138 * R^2 * S * R^-1 * S^-3 * T * S^134 ] N550.2 : Type {4,552}_552 Order 4416 mV = 184 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^552 ] N550.3 : Type {6,140}_140 Order 3360 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, S^2 * R * T * S^3 * R * S^-2 * R * S^7 ] N550.4 : Type {6,140}_140 Order 3360 mV = 28 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^14 * R^-1 * S^-1 * R * S^3 * R^-1 * S^-1 * R * S^9 ] Genus 551 N551.1 : Type {6,186}_93 Order 3348 mV = 31 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-47 * R^2 * S^-4 * R * S * T * S^-41 ] Genus 552 N552.1 : Type {4,114}_95 Order 4560 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^7 * R * S^-1 * R^-1 * S^3 * R^-1 * S^-4 * R * S * T * R * S^3 ] N552.2 : Type {40,60}_15 Order 2400 mV = 10 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^9 * S^-2 * R * S^-2, S^-6 * R^2 * S^-1 * R^-3 * S^6 * T * S^-2 ] N552.3 : Type {40,60}_30 Order 2400 mV = 10 mF = 10 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S, R^9 * S^-2 * R * S^-2, S^2 * R * S^-1 * R^-1 * S^4 * R^-3 * S^-5 * T * S^3 ] Genus 553 N553.1 : Type {4,555}_555 Order 4440 mV = 185 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-555 ] N553.2 : Type {6,554}_831 Order 3324 mV = 277 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-139 * R^3 * S^9 * T * S^-129 ] N553.3 : Type {10,278}_695 Order 2780 mV = 139 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-70 * R^5 * S^8 * T * S^-61 ] N553.4 : Type {14,186}_651 Order 2604 mV = 93 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-47 * R^7 * S^7 * T * S^-39 ] N553.5 : Type {26,94}_611 Order 2444 mV = 47 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-24 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-11 ] Genus 554 N554.1 : Type {12,30}_15 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^12, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S^2 * R^-4 * S^2 * R^-2 * S^-1 * T ] N554.2 : Type {12,30}_15 Order 2880 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R^12, S^-3 * R^5 * S^-4 * R * S^-1, R^-1 * S * R * S^-6 * R^-1 * S * R^-2 * S^3 * T * S^-4 ] N554.3 : Type {12,30}_30 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, R * S^-1 * R * S^-1 * R^3 * S * R^-2 * S^-1 * R, S * R * S^-2 * R^3 * S^3 * R^-2 ] Genus 555 No non-orientable regular maps of genus 555 Genus 556 N556.1 : Type {4,558}_279 Order 4464 mV = 186 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-140 * R^2 * S^-1 * R * S^5 * T * S^-133 ] N556.2 : Type {4,558}_558 Order 4464 mV = 186 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^558 ] N556.3 : Type {8,372}_93 Order 2976 mV = 124 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-47 * R^2 * S^-1 * R * S^4 * T * S^-41 ] N556.4 : Type {8,372}_186 Order 2976 mV = 124 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-47 * R * S * R^-1 * S^-4 * T * R^-1 * S^-41 ] Genus 557 N557.1 : Type {6,188}_188 Order 3384 mV = 47 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^47 * R * S^-1 * R * S^5 * T * S^-1 * R * S^40 ] N557.2 : Type {6,558}_279 Order 3348 mV = 279 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-140 * R^3 * S^9 * T * S^-130 ] N557.3 : Type {18,30}_9 Order 2700 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S^2 * R * S^-1 * R^2 * S^-1 * R * S^2, R^-8 * S^-1 * R * S^2 * T, R * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-3 ] Genus 558 No non-orientable regular maps of genus 558 Genus 559 N559.1 : Type {4,561}_561 Order 4488 mV = 187 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-561 ] Genus 560 N560.1 : Type {12,114}_57 Order 2736 mV = 19 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R^5 * S^-2 * R * S^-1, S^-29 * R^2 * S^-4 * R * S * T * S^-23 ] N560.2 : Type {16,20}_8 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-4)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, R * T * S * R^3 * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^-1 ] N560.3 : Type {16,20}_8 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, (R * S^-4)^2, S^-1 * R^6 * S^-1 * R * S * R^-1 * S^-1, R * T * S * R^3 * S^-2 * R^3 * S * R^-2 * S^-1 ] N560.4 : Type {24,36}_3 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^5 * R^-1 * S * R^-1 * S * R^2 * S^-2 * R * S^-1 * R * S^-1 * R^-1 * S^3 ] N560.5 : Type {24,36}_3 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-5)^2, (R * S^-1 * R * S^-1 * R^3)^2 ] N560.6 : Type {24,36}_6 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R * S^-1 * R)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-1 * T * S * R * S^-1 * R^10 ] N560.7 : Type {24,36}_6 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, (R * S^-5)^2, (R * S^-1 * R * S^-1 * R^3)^2, R^-1 * S * R^4 * S^-2 * R^2 * S^-2 * R^2 * T ] N560.8 : Type {24,36}_9 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R * S^-1 * R^4 * S^-1 * R * S^3, R * S^-2 * R^-4 * S^-2 * R^2 * S * T ] N560.9 : Type {24,36}_9 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-5)^2, R^-1 * S^4 * R^-2 * S^5 * T, R^8 * S^-1 * R * S^-2 * R * S^-1 ] N560.10 : Type {24,36}_9 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-3 * R)^2, (R * S^-1 * R * S^-1 * R^3)^2, R * S^-1 * R^-1 * S^3 * R * S^-1 * R^-1 * S * R^-1 * S^-3 * T ] N560.11 : Type {24,36}_18 Order 2592 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R * S^-1 * R^4 * S^-1 * R * S^3, R^2 * S^-1 * R^-4 * S^-1 * R^3 * S * T, S^2 * R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S * R^-2 * S^-1 * T * R^-1 ] N560.12 : Type {24,36}_18 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^-2 * S^3 * T, (R * S^-1 * R * S^-1 * R^3)^2 ] N560.13 : Type {24,36}_18 Order 2592 mV = 6 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-5)^2, S^3 * R * S^-1 * R^-2 * S^-5 * T, R^8 * S^-1 * R * S^-2 * R * S^-1 ] Genus 561 N561.1 : Type {6,562}_843 Order 3372 mV = 281 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-141 * R^3 * S^9 * T * S^-131 ] N561.2 : Type {10,282}_705 Order 2820 mV = 141 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-71 * R^5 * S^8 * T * S^-62 ] N561.3 : Type {18,142}_639 Order 2556 mV = 71 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-36 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-27 ] N561.4 : Type {22,114}_627 Order 2508 mV = 57 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-29 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-18 ] N561.5 : Type {30,82}_615 Order 2460 mV = 41 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-21 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-6 ] N561.6 : Type {42,58}_609 Order 2436 mV = 29 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^10 * T * S^-1 * R^2 * S^-2 * T * S^2 * R^-12 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S ] Genus 562 N562.1 : Type {3,34}_15 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^4 * R * S^-4 * R * S^5 * R^-1 * T * S^2, S^-1 * R * S^-2 * T * R^-1 * S^2 * R^-1 * S^2 * R * S^-1 * R * S^-2 * R * S^-2 * R * S^-2 * R * S^-1, S * R * S^-2 * R * S^-3 * R * S^-2 * R * S^-3 * R * S^-2 * R * S^2 * R^-1 * S ] N562.2 : Type {3,34}_17 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S^6 * R^-1 * S)^2, S^2 * R^-1 * S^4 * R * S^-2 * R^2 * S^2 * R^-1 * S^3 * R^-1 * S^-2 * R * S, S^-2 * R * S^-5 * R * S^-2 * R^-1 * S^4 * R^-1 * S * T * S^-2 * R * S^-1 ] N562.3 : Type {3,34}_30 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-3 * R * T * S, S * R * S^-6 * R * S^-2 * R * S^-6 * R * S^2 * R^-1 * S ] N562.4 : Type {3,34}_34 Order 8160 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * T, (S * R^-1 * S^6 * R^-1 * S)^2 ] N562.5 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^18 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^14 ] N562.6 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-3 * R^-1 * S * R^2 * S^-2 * R * S * R^-1 * S^-1, (R * S^-2)^4, S^18 * R^-1 * S^-4 * R * T * S^-4 * R * S^10 ] N562.7 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^2 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^2, S^36 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^32 ] N562.8 : Type {4,144}_144 Order 4608 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^144 ] N562.9 : Type {4,564}_564 Order 4512 mV = 188 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^141 * R^2 * S * R^-1 * S^-3 * T * S^137 ] N562.10 : Type {4,564}_564 Order 4512 mV = 188 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^564 ] N562.11 : Type {6,8}_48 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-2 * R^-2 * S^4 * R * S^-1 * T ] N562.12 : Type {6,8}_48 Order 5376 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S^-1 * R^2 * S^-2 * R^2 * S * T, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S^2 * R^-1 * S^-2 * R ] N562.13 : Type {8,12}_5 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-1)^6, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12 ] N562.14 : Type {8,12}_10 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-1)^6, S^-2 * R^3 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^3 * S^-1, S^12, R * S^-1 * R^2 * S^-1 * R^3 * S^3 * R^-1 * S^-1 * R, R^-1 * S^3 * R^-1 * S^2 * R * S^-2 * R^3 * S, S * T * S^-1 * R^-3 * S^2 * R^2 * S * R^-2 * S * R^-1 ] N562.15 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R^2 * S * R^-1 * S^-2 * R * S * T * S^-2 * R * S^6 ] N562.16 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-2)^4, (R * S^-5)^2, S * R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S * R^-1 * S, S^12 * R * S^-1 * R * S^2 * R^-1 * S^-1 * T * S^8 ] N562.17 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-1 * R * S^-2 * R^3 * S * R^-1 * S^2 * T, S^24 * R^4 * S^24 ] N562.18 : Type {8,96}_96 Order 3072 mV = 16 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^24 * R^3 * S^-6 * R * S^18 ] Genus 563 No non-orientable regular maps of genus 563 Genus 564 N564.1 : Type {6,284}_213 Order 3408 mV = 71 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-36 * R^-2 * S^-5 * T * R^-1 * S^-30 ] Genus 565 N565.1 : Type {4,567}_567 Order 4536 mV = 189 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-567 ] N565.2 : Type {6,566}_849 Order 3396 mV = 283 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-142 * R^3 * S^9 * T * S^-132 ] N565.3 : Type {14,190}_665 Order 2660 mV = 95 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-48 * R^7 * S^7 * T * S^-40 ] Genus 566 N566.1 : Type {4,145}_145 Order 4640 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^-145 ] N566.2 : Type {10,120}_24 Order 2880 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, S * T * S^-1 * R^-1 * S^3 * R^-2 * S^7 ] N566.3 : Type {10,120}_24 Order 2880 mV = 24 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-4)^2, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^12 * R^-1 * S^-3 * R^2 * S^-2 * R * S^7 ] N566.4 : Type {15,24}_15 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-2 * R^3 * S^3 * R^-2, (R * S^-2 * R * S^-1 * R)^2, S * R * S^-2 * R * S^-1 * R * S^-2 * R * S^2, S * R^-2 * S * R^-3 * S^2 * R^-2 * S^-1 * T, R^-1 * S * R * S^-5 * R^-2 * S^-2 * R * S^-2 ] N566.5 : Type {15,24}_30 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, S * R * S^-2 * R^3 * S^3 * R^-2, R^-1 * S * R * S^-5 * R^-2 * S^-2 * R * S^-2 ] N566.6 : Type {16,56}_4 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R * S^-1 * R^5 * S^-2 * R * S * T ] N566.7 : Type {16,56}_4 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1, R^-2 * S * R^3 * S^3 * T, (R * S^-3 * R^2)^2 ] N566.8 : Type {16,56}_24 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4, (R * S^-1)^6, (R * S^-2 * R^4)^2, R^-3 * S * R^4 * S * R^-1 * S * R^-1 * S * T ] N566.9 : Type {16,56}_24 Order 2688 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R)^4, (R * S^-1)^6, (R * S^-2 * R^4)^2, R^3 * S^-1 * R^4 * S^-1 * R * S^-1 * R * S^-1 * T ] Genus 567 No non-orientable regular maps of genus 567 Genus 568 N568.1 : Type {4,570}_285 Order 4560 mV = 190 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-143 * R^2 * S^-1 * R * S^5 * T * S^-136 ] N568.2 : Type {4,570}_570 Order 4560 mV = 190 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^570 ] Genus 569 N569.1 : Type {4,18}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R * S^-1 * R * S^3 * R^-1 * S^-2, (R * S^-3 * R * S^-2)^2, S * T * R * S^-2 * R^-1 * S * R^-1 * S * R^2 * S^2 * R^-1 * S^4 ] N569.2 : Type {4,18}_12 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * 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 ] N569.3 : Type {4,18}_36 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * R * S^2, S * T * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 ] N569.4 : Type {4,18}_36 Order 5832 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, S^2 * R * S^-4 * R^-1 * S^2 * R^-1 * S^-4 * R * S^2, S^18, S^-2 * R^-1 * S * R * S^-2 * R^-1 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * S * R^-1 * S^-2 ] N569.5 : Type {6,10}_5 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, (R * S^-1)^6, (R * S^-3 * R * S^-1 * R)^2 ] N569.6 : Type {6,10}_15 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-5 * R^2 * S^5 * R, S * T * R * S^-1 * R * S^-2 * R^3 * S * R^-2 * S * R^-2 * S ] N569.7 : Type {6,10}_15 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^-2 * T ] N569.8 : Type {6,10}_15 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-5 * R^2 * S^5 * R, (R * S^-1)^6, (R * S^-3 * R * S^-1 * R)^2, R * S^-1 * R^-1 * S^2 * R * S^-1 * R^-1 * S * R^-2 * S * R^-1 * S * T ] N569.9 : Type {6,10}_15 Order 4860 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-3 * R * S^-1 * R)^2, S^2 * R * S^-3 * R^-2 * S^2 * R^-2 * S^-2 * T ] N569.10 : Type {6,24}_8 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, S * R * S^-1 * R * S^-2 * R^2 * S^2 * R^-1 * S^2 * R^-1 ] N569.11 : Type {6,24}_8 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, S^-2 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S * R^-1 * T ] N569.12 : Type {6,24}_8 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, (R * S^-1)^6, S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * T, S^-1 * R^-1 * S^2 * R * S^-1 * R^2 * S * R^-1 * S^-3 * R ] N569.13 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N569.14 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N569.15 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^-1 * S^3 * R^2 * S^3 * R^-1 * S^-1, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N569.16 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-4 * R^2 * S^3 * R^-1 * S^-1, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R^-2 * S * R^2 * S^2 * R^-1 * S^-1 * R^2 * S^-1, S^-3 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * T ] N569.17 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, (R * S^-4 * R)^2, S^3 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * T ] N569.18 : Type {6,24}_24 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4 * R)^2, (R * S^-1)^6, S^-2 * R^2 * S^-1 * R^-3 * S^2 * R^-1 * S * R^-1 * T ] N569.19 : Type {6,66}_99 Order 3564 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, S^-17 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-10 ] N569.20 : Type {6,66}_99 Order 3564 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-17 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-10 ] N569.21 : Type {6,570}_285 Order 3420 mV = 285 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-143 * R^3 * S^9 * T * S^-133 ] N569.22 : Type {10,286}_715 Order 2860 mV = 143 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-72 * R^5 * S^8 * T * S^-63 ] N569.23 : Type {12,15}_45 Order 3240 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^12, R * S^-1 * R * S^-1 * R^4 * S * R^-2 * S^-1 * R^2, S^-1 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S^-1 * R * S * T * R, S^-15 ] N569.24 : Type {18,18}_3 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R^2 * S^-1)^3, (R * S^-1)^6 ] N569.25 : Type {18,18}_3 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R^2 * S^-1)^3, (R * S^-3 * R^3)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^3 * S^-1 * R * S^-2 * R * S^-2 ] N569.26 : Type {18,18}_3 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (S^-1 * R^2 * S^-1)^3, (R * S^-5)^2, R^18 ] N569.27 : Type {18,18}_9 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, R^-1 * T * S^-1 * R^-1 * S * R * S^-2 * R^4 * S^-2 * R * S * R^-1 * S^-2 ] N569.28 : Type {18,18}_9 Order 2916 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-3 * R)^2, (R * S^-1)^6, (R * S^-1 * R * S^-1 * R^3)^2, S^-1 * R^-1 * S^2 * R^4 * S^2 * R^-1 * S^-1 * R^2, S^-1 * T * S^3 * R^-5 * S * R^-1 * S^-1 * R * S^-1 ] N569.29 : Type {18,18}_9 Order 2916 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^2, R * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-1 * R ] N569.30 : Type {18,18}_9 Order 2916 mV = 1 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-4 * S * R^-1 * S^-1 * T, R * S^-1 * R^-2 * S * R^3 * S^2 * R^-1 * S * R^-1 * S^-1, S^18 ] N569.31 : Type {18,18}_9 Order 2916 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^3 * R * S^-1 * R^-2 * S^-5 * T, R^18 ] N569.32 : Type {18,18}_9 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, (R * S^-1 * R^4)^2, (R * S^-1)^6, S * T * S^-1 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^-2 * R * S ] N569.33 : Type {18,18}_9 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, S * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S, (R * S^-1)^6, R * S^-1 * R^-1 * T * S^-1 * R^-3 * S * R^2 * S^3 * R^-1 * S^-1 * R * S^2 ] N569.34 : Type {18,18}_9 Order 2916 mV = 3 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1 * R^4)^2, (R * S^-1)^6, S * T * S^-1 * R^-1 * S * R * S^-2 * R^2 * S^-1 * R * S^3 ] Genus 570 N570.1 : Type {6,145}_145 Order 3480 mV = 29 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-4)^2, R^2 * S^-3 * R^2 * S * R^-1 * S^-2 * T, S^-15 * R * S^3 * R^-1 * S^-1 * T * S^2 * R^-1 * S^-8 ] N570.2 : Type {8,50}_25 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-13 * R^-1 * S * R^-1 * S^-2 * R^2 * T * S^2 * R^-1 * S^-7 ] N570.3 : Type {8,50}_50 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^50 ] N570.4 : Type {8,50}_50 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-14 * R * S^2 * R^-2 * S * R^-1 * T * S * R^-1 * S^-7 ] N570.5 : Type {8,50}_50 Order 3200 mV = 10 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^50 ] Genus 571 N571.1 : Type {4,573}_573 Order 4584 mV = 191 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-573 ] Genus 572 N572.1 : Type {4,6}_18 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S^-1 * T, R^-1 * S^2 * R^-1 * S * R^-1 * S * R^-1 * S * R^2 * S^-1 * R * S * R^-1 * S * R^-1 * S * R^-1 * S ] N572.2 : Type {4,6}_18 Order 13680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R * S^-3 * R * S^-1 * R * S^3 * R * S^-2 * T ] N572.3 : Type {4,42}_105 Order 5040 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, (R * S^-5)^2, S^8 * R * S^-3 * R * S^3 * R^-1 * S^-1 * T * S * R^-1 * S^-1 * R * S^4 ] N572.4 : Type {6,6}_10 Order 6840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T, S^-1 * R^2 * S^-1 * R * S^-1 * R^2 * S^-2 * R * S^-1 * R * S^-1 ] N572.5 : Type {6,60}_3 Order 3600 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-2 * S * R^2 * S^-3 * R * T * S^3 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S ] N572.6 : Type {6,60}_15 Order 3600 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-1 * R^-1 * S^4 * R^-2 * S * R * S^-1 * R^2 * S^-2 * R * S^3 * T * S^-3 ] Genus 573 N573.1 : Type {6,574}_861 Order 3444 mV = 287 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-144 * R^3 * S^9 * T * S^-134 ] N573.2 : Type {46,54}_621 Order 2484 mV = 27 mF = 23 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-5 * R^-1 * S * R * S^-1 * R^-1 * S^2 * T * R^2 * S^-3 * R^-1 * T * S^-2 * R^11 * S^7 * R^-1 * T * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 574 N574.1 : Type {4,576}_576 Order 4608 mV = 192 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^144 * R^2 * S * R^-1 * S^-3 * T * S^140 ] N574.2 : Type {4,576}_576 Order 4608 mV = 192 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^576 ] N574.3 : Type {6,14}_7 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-2 * R^2 * S * R^-1 * S^2 * R^-1, (R * S^-4 * R)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N574.4 : Type {6,14}_7 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, R * S^-2 * R * S^-1 * R^-2 * S^2 * R^-1 * S^2 * T, S^14 ] N574.5 : Type {6,14}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S * R^2 * S^-2 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * T ] N574.6 : Type {6,14}_12 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3 * R)^2, S^4 * R * S^-1 * R^2 * S * R^-1 * S * R^-1 * S^-1 * T, S^14 ] N574.7 : Type {6,14}_12 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^14, S^-3 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-4 * R * S * T * S^-1 ] N574.8 : Type {6,14}_12 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^14, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3 ] N574.9 : Type {6,14}_13 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^2 * T, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1 ] N574.10 : Type {6,14}_13 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, R^-1 * S * R * S^-1 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * T * S * R^-1 * S^-2, S^2 * R * S^-1 * R * S^-4 * R^-1 * S * R^-1 * S^2 * R^-1 * S^-2 * R * S * T * S^-1 * R * S ] N574.11 : Type {6,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R * S^-1 * R^-3 * S^-1 * R^2 * T, (R * S^-4 * R)^2 ] N574.12 : Type {6,14}_14 Order 4368 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S^14, (R * S^-5 * R * S^-1)^2, S^2 * T * R * S^-4 * R^2 * S * R^-1 * S * R^-1 * S^-2 * R * S^2 ] N574.13 : Type {6,14}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S * T, S^14 ] N574.14 : Type {6,14}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^14, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, (R * S^-3)^4, S^2 * R^-1 * S^2 * R * S^-3 * R^-2 * S^-5 * R * T * S^2 ] N574.15 : Type {6,14}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, S^14, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, (R * S^-3)^4, S^-2 * R * S^-5 * R * S^-4 * R * S^-1 * T * R^-1 * S^-2 ] N574.16 : Type {6,14}_14 Order 4368 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^3 * S * R^-1 * T, S^14, (R * S^-5 * R * S^-1)^2 ] N574.17 : Type {6,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^6, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, R * S^-1 * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S * R^-2 * S^-1 * T * S ] N574.18 : Type {6,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N574.19 : Type {6,14}_26 Order 4368 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R * S^-1)^2, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^6, R^-1 * S^2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S * R^-1, R^-1 * S * R^2 * S^-1 * R^-1 * S * R^-2 * S^2 * R^-1 * S^-1 * R * S * T * S^-1 ] N574.20 : Type {6,14}_26 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^-2 * R * S^3 * T * R * S^-1 * R * S^-1 ] N574.21 : Type {6,14}_26 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, S^-2 * R^-1 * S^2 * R * S^-2 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^2 * R^-1 * S^-1 * T * S * R^-1 * S^-1 ] N574.22 : Type {6,14}_26 Order 4368 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R)^2, (R * S^-6)^2, R * S^-2 * R * S^-2 * R * S^-2 * R^-2 * S^-2 * R * S^-2 * R * T * S * R^-1 * S^-2, S^2 * R * S^-1 * R * S^-4 * R^-1 * S * R^2 * S^2 * R^-1 * S^-2 * T * S * R^-1 * S * R^-1 * S ] N574.23 : Type {8,384}_384 Order 3072 mV = 128 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^49 * R^-1 * S^-4 * T * R^-1 * S^-1 * R * S^42 ] N574.24 : Type {8,384}_384 Order 3072 mV = 128 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^48 * R * S^-1 * R^2 * S^-2 * T * S^45 ] Genus 575 No non-orientable regular maps of genus 575 Genus 576 N576.1 : Type {8,30}_20 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-5)^2, S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-3 * T ] N576.2 : Type {8,30}_30 Order 3360 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-1)^6, (R * S^-5)^2, S^-2 * R^-1 * S * R * S^-2 * R^-2 * S^-3 * R * S^2 * T ] N576.3 : Type {8,30}_35 Order 3360 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R^-1 * S * R^-2 * S * R^-2 * S * R^-2 * S^2 * T ] N576.4 : Type {8,30}_70 Order 3360 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * T * R^2, R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-4 * T * S ] N576.5 : Type {12,232}_87 Order 2784 mV = 58 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-15 * R^2 * S^-2 * R * S^2 * T * S^-10 ] N576.6 : Type {12,232}_174 Order 2784 mV = 58 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-2 * R^2)^2, S^-15 * R * S * R^-2 * S^4 * T * R * S^2 * R^-1 * S^-7 ] N576.7 : Type {20,66}_165 Order 2640 mV = 11 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, R * S^-3 * R^2 * S^2 * R^-1 * S^-1, R^9 * S^-2 * R * S^-2, S^-17 * R^-2 * S^-1 * R^2 * S^-1 * T * S^2 * R * S^-12 ] Genus 577 N577.1 : Type {4,50}_4 Order 5000 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S^-1 * R * S, R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^3 * R^-1 * T * 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 ] N577.2 : Type {4,579}_579 Order 4632 mV = 193 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-579 ] N577.3 : Type {6,578}_867 Order 3468 mV = 289 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-145 * R^3 * S^9 * T * S^-135 ] N577.4 : Type {10,60}_12 Order 3000 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R^3)^2, S * R^2 * S^-2 * R^3 * S * R^-1 * S^2 * R^-2, R * S^-1 * R^4 * S^-1 * R^-3 * S^4 * T * R ] N577.5 : Type {10,60}_60 Order 3000 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^15 * R^3 * S^-1 * R^3 * S * T * S^-2 * R^-1 * S^11 ] N577.6 : Type {10,60}_60 Order 3000 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R^3)^2, R^-1 * S^2 * R * S^-1 * R^3 * S * R^-2 * S^2 * T ] N577.7 : Type {10,60}_60 Order 3000 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R^3)^2, R^-1 * S^2 * R * S^-1 * R^3 * S^2 * R^-1 * S^-1 * R * T ] N577.8 : Type {10,60}_60 Order 3000 mV = 15 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R^3)^2, S * R^3 * S^-1 * R^3 * S^2 * R^-1 * S^-2 * T ] N577.9 : Type {10,290}_145 Order 2900 mV = 145 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-73 * R^5 * S^8 * T * S^-64 ] N577.10 : Type {14,194}_679 Order 2716 mV = 97 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-49 * R^7 * S^7 * T * S^-41 ] N577.11 : Type {15,20}_3 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-2 * R * S^-1)^2, R^-15 ] N577.12 : Type {15,20}_15 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, S * R^-1 * S * R^4 * S * R^-1 * S^3, S * R^2 * S^-1 * R^-3 * S^-2 * R^2 * S^-1 * T, R^-15 ] N577.13 : Type {15,20}_15 Order 3000 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, R * S^-1 * R * S^-1 * R^-3 * S^-1 * R * S^-1 * R * S^2, (R * S^-1 * R * S^-1 * R^3)^2, S * T * S^-1 * R^-1 * S * R^2 * S^-1 * R^6 * S ] N577.14 : Type {15,20}_15 Order 3000 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S * R^2 * S^-1 * R^3 * S^2 * R^-1 * S^-1 * T, R^3 * S^-2 * R^3 * S^-6, R^-15 ] N577.15 : Type {18,146}_657 Order 2628 mV = 73 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-37 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-28 ] N577.16 : Type {26,98}_637 Order 2548 mV = 49 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-25 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-12 ] N577.17 : Type {34,74}_629 Order 2516 mV = 37 mF = 17 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^34, S^-19 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * 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^-2 ] N577.18 : Type {38,66}_627 Order 2508 mV = 33 mF = 19 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^17 * R^-10 * S^2 * T * S^-3 * T * S^2 * T * 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 ] N577.19 : Type {50,50}_25 Order 2500 mV = 25 mF = 25 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2 * T * S^3 * T * S^-2 * R^12 * S^-2 * T * S^2 * R^-2 * S * T * S^-2 * R^-1 * T * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-2 ] Genus 578 N578.1 : Type {4,6}_12 Order 13824 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, 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^-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, S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^3 * R * S^-2 * R * T * S ] N578.2 : Type {4,10}_6 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S * T * R * S^-1 * R^-1 * S^3 * R^-1 * S * R * S^-2 * R * S * R^-1 * S^3 ] N578.3 : Type {4,10}_6 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^6, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-3 * R * S^2, S^2 * R * S^-1 * R * S^-4 * R^2 * S * R^-1 * S^3 * R^-1 * S^-1 * T ] N578.4 : Type {4,10}_12 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, (R * S^-1)^6, S^-1 * R * S^-1 * R^-1 * S * R^-1 * S * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^2 * R^-1 * S^-1 * R * T * S^-1 ] N578.5 : Type {4,10}_12 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S * R^-1 * S * R^-2 * S^-1 * R * T, 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 ] N578.6 : Type {4,10}_12 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, (R * S^-1)^6, R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-2, R * S^-1 * R^-1 * T * S^-1 * R^-1 * S * R * S^-2 * R^-1 * S * R^2 * S^-3 * R * S^-1 * R * S * R^-1 * S^-2 ] N578.7 : Type {4,10}_12 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, R * S^-4 * R^-1 * S * R^-1 * S * R^-1 * S^5 * T ] N578.8 : Type {4,10}_24 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * R^-1, S^-2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 * R * S^-1 * R * S^-1 * R, S^-1 * T * S * R^-1 * S * R * S^-1 * R * S^-1 * R^-2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ] N578.9 : Type {4,10}_24 Order 7680 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^-5 * R^2 * S^5 * 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 * T * S^-1 * R^-1 * S * R^-1 * S^3 * R^2 * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * R ] N578.10 : Type {6,6}_6 Order 6912 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R^2 * S^-1)^3, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^-3 * R^-3 * S^-3 * R^3 * S^3 * R^3 * T ] N578.11 : Type {6,6}_6 Order 6912 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S ] N578.12 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N578.13 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S^-1, S^-4 * R^-1 * S * R^-3 * S^-1 * R^2 * S^-1 * R * S * T * S^-1 ] N578.14 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T ] N578.15 : Type {6,12}_12 Order 4608 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^12, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * T, S^2 * R^2 * S^-1 * R^-1 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2 * R * S^-2 * R)^2 ] N578.16 : Type {10,10}_3 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1)^6 ] N578.17 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, (R * S^-1)^6, S^-1 * R^-1 * S * R^-4 * S^4 * R^-1 * T ] N578.18 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * T * S * R * S^-1 * R^-5 * S^-2 * R^2 * S^-2 ] N578.19 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, (R * S^-3 * R^2)^2, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S^-1 * T * S * R * S^-3 * R * S^5 * R * S^-2 ] N578.20 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R * S^-2 * R^4 * S^-2 * R * S^3, S^-1 * T * S * R * S^-3 * R * S^5 * R * S^-2 ] N578.21 : Type {10,10}_6 Order 3840 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1, S * R * S^-1 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * S, S * R^-4 * S * R^3 * S^5 * R^-2, R^-1 * T * S^-1 * R^-4 * S * R^5 * S * R^-2 ] N578.22 : Type {10,10}_6 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^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^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-1 * S * R^-2 * S ] N578.23 : Type {10,10}_6 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^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, S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S^-1 * T * S ] N578.24 : Type {10,10}_6 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^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^-1 * R * S^-2 * R * S^-1 * R * S^2 * R^-1 * S^2 * T ] N578.25 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1 * R, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N578.26 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Self-dual Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1 * R, R * T * S * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S^-1 * R * S^-1 * R * S^-1 ] N578.27 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^3 * S^-1 * R * S * R^-1 * S^-1 * R, R^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-1 * S * R^-2 * S ] N578.28 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, R^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-1 * S * R^-2 * S, S^-2 * R^-1 * S * R^-2 * S^2 * R^-1 * S^2 * R^-1 * S^2 * R^-1 * T * R ] N578.29 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^5 * S^-4, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T, R^-1 * S * R * S^-1 * R * S^-1 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * T * S ] N578.30 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, R * S^-1 * R^-1 * S * R^-3 * S * R^-1 * S^-1 * R * S^2, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N578.31 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, R * S^-1 * R^-1 * S * R^-3 * S * R^-1 * S^-1 * R * S^2, R^-1 * T * S^-1 * R^-2 * S * R^3 * S * R^-1 * S * R^-2 * S ] N578.32 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-2 * T ] N578.33 : Type {10,10}_12 Order 3840 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^10, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^3)^2, (R * S^-4)^2, S^-3 * R * S^-1 * R^-2 * S^-1 * R * S * R^-1 * S^-1 * R, S^2 * R^2 * S^-1 * R * S^-1 * R^-2 * S * R^-2 * S * R^-1 * S^-1 * T * S ] N578.34 : Type {12,12}_8 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, R^-1 * S^-1 * T * S * R * S^-1 * R^-3 * S * R^-3 * S^2 * R^-1 ] N578.35 : Type {12,12}_12 Order 3456 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, R * S^-2 * R^4 * S * R^-1 * S^-1 * R^2 ] N578.36 : Type {12,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, R^3 * S^-1 * R^4 * S^-1 * R^3 * S^-2 ] N578.37 : Type {12,12}_24 Order 3456 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, R^12, R^3 * S^-1 * R^4 * S^-1 * R^3 * S^2 ] N578.38 : Type {12,60}_15 Order 2880 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^-5 * R^-1 * S * R * S^-1 * R^-1 * S^6 * T * S^-2 ] N578.39 : Type {14,21}_9 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, (R * S^-3 * R)^2, R^-3 * S * R^-3 * S * R^-1 * S^-1 * R * S^2, R * T * S * R * S^-1 * R * S^-2 * R^-1 * S^4 * R^-1 * S ] N578.40 : Type {14,21}_9 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R^-2 * S)^3, (R * S^-2 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] Genus 579 No non-orientable regular maps of genus 579 Genus 580 N580.1 : Type {4,582}_291 Order 4656 mV = 194 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-146 * R^2 * S^-1 * R * S^5 * T * S^-139 ] N580.2 : Type {4,582}_582 Order 4656 mV = 194 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^582 ] N580.3 : Type {6,292}_219 Order 3504 mV = 73 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-37 * R^2 * S^-2 * R * S * T * S^-33 ] Genus 581 N581.1 : Type {6,196}_196 Order 3528 mV = 49 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^2 * S * R^-1 * S^-1, S^49 * R * S^-1 * R * S^5 * T * S^-1 * R * S^42 ] N581.2 : Type {6,582}_291 Order 3492 mV = 291 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-146 * R^3 * S^9 * T * S^-136 ] N581.3 : Type {22,118}_649 Order 2596 mV = 59 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-30 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-19 ] Genus 582 N582.1 : Type {3,14}_29 Order 12180 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^3, (R * S)^2, (R * T)^2, (S * T)^2, S^14, R^-1 * S^2 * R * S^-2 * R * S^-1 * R * S^-2 * R * S^3 * T, S * R^-1 * S^4 * R * S^-6 * R^-1 * S^5 * R^-1 * S^-4 * R * T * S ] N582.2 : Type {10,75}_25 Order 3000 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-13 * R^2 * S^-1 * R^2 * S^-1 * R * S * T * S^-9 ] Genus 583 N583.1 : Type {4,585}_585 Order 4680 mV = 195 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-585 ] N583.2 : Type {14,30}_15 Order 2940 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^14, S^-6 * R^-1 * S * R^2 * S^5 * T * S^-3 ] Genus 584 N584.1 : Type {24,108}_27 Order 2592 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-14 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-9 ] N584.2 : Type {24,108}_54 Order 2592 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-14 * R^2 * S^-4 * R * S * T * S^-8 ] Genus 585 N585.1 : Type {6,586}_879 Order 3516 mV = 293 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-147 * R^3 * S^9 * T * S^-137 ] N585.2 : Type {10,294}_735 Order 2940 mV = 147 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-74 * R^5 * S^8 * T * S^-65 ] Genus 586 N586.1 : Type {4,150}_75 Order 4800 mV = 30 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-4)^2, S^-38 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S^2 * T * S^-32 ] N586.2 : Type {4,150}_150 Order 4800 mV = 25 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^-3 * R * S^-1 * R * S^2 * R^-1 * T, S^150 ] N586.3 : Type {4,150}_150 Order 4800 mV = 30 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, S^3 * R^-1 * S * R^2 * S * R^-1 * S^-1 * R * T, S^150 ] N586.4 : Type {4,588}_588 Order 4704 mV = 196 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^147 * R^2 * S * R^-1 * S^-3 * T * S^143 ] N586.5 : Type {4,588}_588 Order 4704 mV = 196 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^588 ] N586.6 : Type {8,100}_25 Order 3200 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-13 * R^-1 * S * R^-1 * S^-2 * R^2 * T * S^2 * R^-1 * S^-7 ] N586.7 : Type {8,100}_50 Order 3200 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, (R * S^-4)^2, S^-14 * R * S^2 * R^-2 * S * R^-1 * T * S * R^-1 * S^-7 ] N586.8 : Type {8,100}_100 Order 3200 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, R * S^-2 * R * S^-1 * R^2 * S^-2 * R * S^-1 * T, S^25 * R^3 * S^-5 * R * S^20 ] N586.9 : Type {8,100}_100 Order 3200 mV = 20 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, (R * S^-4)^2, S^-3 * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * T, S^25 * R^3 * S^-5 * R * S^20 ] Genus 587 N587.1 : Type {4,30}_12 Order 5400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-2 * R * S^-1 * R * S^3 * R^-1 * S^-1, R * S^-3 * R * S^-3 * R * S^-1 * R * S^-1 * R * S^-1 * R^-2 * S * R^-1 * S * R^-1 * S^3 * R^-1 * T * S^-1 * R * S^-1 * R * S^-3 ] N587.2 : Type {6,68}_204 Order 3672 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^17 * R * S^-1 * R * S^5 * T * S^-1 * R * S^10 ] N587.3 : Type {6,198}_33 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-17 * R^2 * S^-4 * R * S * T * S^-11 ] N587.4 : Type {6,198}_99 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S^-50 * R^-1 * S^2 * R^-1 * S^-3 * R * T * S^-44 ] N587.5 : Type {6,198}_99 Order 3564 mV = 33 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^6, S^-19 * R * S * R^-1 * T * S * R^-1 * S^-12 ] N587.6 : Type {8,20}_5 Order 3600 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R * S^-1 * R * S^-2 * R^-3 * S^2 * R^-3 * S^-2 ] N587.7 : Type {30,30}_15 Order 2700 mV = 5 mF = 5 Self-dual Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^-1 * S * R^2 * S^4 * R * S^-1 * R^-1 * S * R^6 * S * R^-1 * S^-1 * R * S * T * R * S^5 * R^-1 ] Genus 588 N588.1 : Type {30,44}_165 Order 2640 mV = 11 mF = 5 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^3 * S^-5 * R^-1 * S * R^9 * S^-2 * R * S * T * R * S^2 ] Genus 589 N589.1 : Type {4,591}_591 Order 4728 mV = 197 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-591 ] N589.2 : Type {6,590}_885 Order 3540 mV = 295 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-148 * R^3 * S^9 * T * S^-138 ] N589.3 : Type {14,198}_693 Order 2772 mV = 99 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-50 * R^7 * S^7 * T * S^-42 ] N589.4 : Type {30,86}_645 Order 2580 mV = 43 mF = 15 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^30, S^-22 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-7 ] Genus 590 N590.1 : Type {4,18}_72 Order 6048 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * T, (R * S^-5)^2, S^18 ] N590.2 : Type {6,10}_10 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S * R^-1 * S)^3, S * R^2 * S^-1 * R^2 * S * R^-1 * S * R^-1, S^-1 * R^2 * T * S * R * S^-2 * R^-2 * S^4 * R^-2 * S^-2 ] N590.3 : Type {6,10}_12 Order 5040 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (S^-1 * R)^3, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S * T, S * R * T * R^-1 * S * R * S^-1 * R^2 * S^-1 * R^3 * S * R^-1 * S^-1 * R^2 * S^2, R^-1 * S^2 * R^-2 * S * R * S^-1 * R^-2 * S^-1 * R * S * R^-2 * S^2 * R^-1 * S^-2 ] N590.4 : Type {6,24}_12 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N590.5 : Type {6,24}_12 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S * R^3 * S * R^-2 * S^-1, S^-3 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * T, S^-2 * R^-1 * S * R * S^-3 * R^2 * S^-5 * R * S * T ] N590.6 : Type {6,24}_24 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^2 * R * S^-3 * R * S^-1 * R * S * R^-1 * S * R^-1 * S^-1 * T * S ] N590.7 : Type {6,24}_24 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, (R * S^-2)^4, S^3 * R^2 * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R^2 * S, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3, S^-2 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^4 * R^-1 * S * T ] N590.8 : Type {8,12}_12 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, (R * S^-1)^6, (R * S^-5)^2, S^12, S^-4 * R^-4 * S^-1 * R^3 * S * T ] N590.9 : Type {8,12}_12 Order 4032 mV = 2 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-1)^6, (R * S^-5)^2, S^12 ] N590.10 : Type {8,12}_21 Order 4032 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, S * R^-2 * S * R^4 * S * R^-3 * T ] N590.11 : Type {8,12}_84 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T ] N590.12 : Type {8,12}_84 Order 4032 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, S^12, R * S^-1 * R^-1 * S * R^2 * S^-1 * R^4 * S * R^-2 * S^-1 * R * S * T ] N590.13 : Type {8,12}_84 Order 4032 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R^-1 * S * R * T * S * R^3 * S^-1 * R^-4 * S^-1 * R * S * R^-2 * S * R^-1 ] N590.14 : Type {8,12}_84 Order 4032 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^12, R^-1 * T * R * S^-1 * R^3 * S^-1 * R^4 * S * R^-3 * S * R^-1 ] N590.15 : Type {8,40}_15 Order 3360 mV = 5 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-2 * R * S^-1 * R^-2 * S^4 * T ] N590.16 : Type {8,40}_40 Order 3360 mV = 5 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, (R * S^-1)^6, S^-3 * R^-1 * S * R^3 * S * R^-1 * S^-3 * R, S^-1 * R^-1 * S^4 * R^2 * S^4 * R^-1 * S^-1 ] N590.17 : Type {10,27}_135 Order 3240 mV = 9 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, R * S^-1 * R * S^-1 * R^4 * S * R^-3 * S * T, S^-27 ] N590.18 : Type {12,120}_120 Order 2880 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^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^-2 * R^5 * S * R^-1 * S^-3 * T ] N590.19 : Type {12,120}_120 Order 2880 mV = 24 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-4)^2 ] N590.20 : Type {15,40}_3 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-3 * R * S^-1)^2, R^-15 ] N590.21 : Type {15,40}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-1 * R * S^-2 * R^3 * S * R^-2 * S * T, R^-15 ] N590.22 : Type {20,24}_12 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^-1 * S^2 * R * S^-1 * R * S^3 * T, (R * S^-5)^2 ] N590.23 : Type {20,24}_12 Order 2880 mV = 4 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R * S^-3 * R * S^-1 * R * S^-4 * T ] N590.24 : Type {20,24}_120 Order 2880 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * S * R^3 * S^-1 * R^-1 * S * R * S^-1 * R * S * R^-1 * S^-1 * T * R^-1 ] N590.25 : Type {20,24}_120 Order 2880 mV = 8 mF = 2 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2 * S^-1 * R^2)^2, R^-1 * T * S^-1 * R^-1 * S * R^-4 * S * R^-1 * S^-1 * R^2 * S^-2 ] Genus 591 No non-orientable regular maps of genus 591 Genus 592 N592.1 : Type {4,594}_297 Order 4752 mV = 198 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^-149 * R^2 * S^-1 * R * S^5 * T * S^-142 ] N592.2 : Type {4,594}_594 Order 4752 mV = 198 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^594 ] N592.3 : Type {8,42}_35 Order 3360 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, (R * S^-2 * R * S^-2 * R)^2, S * T * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-1 * S^-1 * R * S^2 ] N592.4 : Type {8,42}_70 Order 3360 mV = 7 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-5)^2, S * R^-1 * S * R^-1 * S * R^3 * S * R^-1 * S * R^-1 * S * R^-1, (R * S^-2 * R * S^-2 * R)^2, S * T * S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^3 * R^-2 * S^2 ] N592.5 : Type {8,396}_99 Order 3168 mV = 132 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-50 * R * S * R^-1 * S^-4 * T * R^-1 * S^-44 ] N592.6 : Type {8,396}_198 Order 3168 mV = 132 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, (R * S^-1 * R^2)^2, S^-50 * R^2 * S^-1 * R * S^4 * T * S^-44 ] N592.7 : Type {18,76}_171 Order 2736 mV = 19 mF = 3 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R * S^-1 * R^3 * S^-1 * R * S * R^-1, R^18, S^-10 * R^4 * S^-4 * T * R^-2 * S^2 * R^-1 * S^-2 * R^-2 * S^-1 ] Genus 593 N593.1 : Type {6,594}_297 Order 3564 mV = 297 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-149 * R^3 * S^9 * T * S^-139 ] N593.2 : Type {10,298}_745 Order 2980 mV = 149 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-75 * R^5 * S^8 * T * S^-66 ] N593.3 : Type {18,150}_225 Order 2700 mV = 75 mF = 9 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^18, S^-38 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-29 ] Genus 594 N594.1 : Type {6,77}_77 Order 3696 mV = 11 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R)^2, R * S^-1 * R^-2 * S * R * S^-1 * R^-1 * S^2 * R^-1 * S^3, S^-2 * R^-1 * S^5 * R^-1 * S^-3 * R^2 * S^-1, S * R^2 * T * S * R * S^-3 * R^2 * S^2 * R^-1 * S * R^-1 * S^2 ] N594.2 : Type {8,15}_15 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^2 * R^-1 * S^2 * R * S^-1 * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 * T * S, S^-15 ] N594.3 : Type {8,15}_15 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^-1 * T * R^-1 * S^2 * R^-2 * S * R^-1 * S^-2 * R * S^-4, S^-15 ] N594.4 : Type {8,15}_30 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, S * R^-1 * S * R^3 * S * R^-1 * S * R^-1, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^2 * R * S^-2 * R * S^-2 * R^-1 * S * R^-1 * S^-2 * R * S^-1 * T, S^-15 ] N594.5 : Type {8,15}_30 Order 3840 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R^2)^2, (R * S^-1)^4, S^2 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^2 * R^-1, S^2 * R^-1 * S^2 * R * S^-1 * R^-2 * S^-2 * R * S^-2 * T * S, S^-15 ] Genus 595 N595.1 : Type {4,597}_597 Order 4776 mV = 199 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-597 ] Genus 596 N596.1 : Type {6,36}_3 Order 3888 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, S^-12 * R * S^-1 * R^-2 * S^9 * R^-2 * S^-1 * R * S^-11 ] N596.2 : Type {6,36}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S^5 * R^-1 * S^5 * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^3 * R^-1 ] N596.3 : Type {6,36}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, S * R^-1 * T * S^-1 * R * S^-2 * R^-3 * S^7 ] N596.4 : Type {6,36}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R * S^-1 * R^2 * S * R^-1 * S^-2 * R, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, (R * S^-4 * R * S^-1)^2 ] N596.5 : Type {6,36}_9 Order 3888 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, S^-2 * R^-2 * S * R^3 * S^2 * R^-2 * T, R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^3 * R^-1 * S^5 * R^-1 * S^3 * R^-1 * S ] N596.6 : Type {6,300}_75 Order 3600 mV = 75 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1)^4, (R * S^-3)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, S^-38 * R^-2 * S^-5 * T * R^-1 * S^-32 ] N596.7 : Type {8,10}_3 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T ] N596.8 : Type {8,10}_6 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^-2 * T * S^-1 * R^3 * S^-1 * R^-3 * S^2 * R^-1 * S^2 * R^-1 * S^2 ] N596.9 : Type {8,10}_8 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1, S^-1 * T * S * R * S^-1 * R * S^-2 * R^-2 * S^-1 * R^3 * S^-1 * R * S^-1 ] N596.10 : Type {8,10}_8 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R^2 * S^-1 * R^2 * S^3 * R^-1 * S^-1, S^-1 * T * S * R * S^-1 * R^-4 * S * R^-1 * S^-2 * R * S^-1 * R ] N596.11 : Type {8,10}_10 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2 * R^2)^2, R^-2 * S * R^3 * S * R^-1 * S * T ] N596.12 : Type {8,10}_10 Order 4320 mV = 1 mF = 2 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S * R^-2 * T, S^-1 * R * S^-1 * R * S^-1 * R^2 * S^-1 * R * S^-1 * R * S^-1 ] N596.13 : Type {8,10}_12 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S^2 * R^3 * S^2 * R^-1 * S^-1 * R, (R * S^-1)^6, S^-1 * R^-1 * S^2 * R * S^-1 * R * S^2 * R^-1 * S^-2, (R * S^-2)^4, R^-3 * S * R^-4 * S^-1 * R^3 * S^-1 * T, R * S^-1 * R * S^-2 * R^3 * S^-3 * R * S^-1 * T ] N596.14 : Type {8,10}_12 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, S * R * S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R * S * R^-1, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-2 * S^2, R * T * S * R^2 * S^-1 * R^-1 * S * R^-1 * S^2 * R^-1 * S * R^-1 * S^-1 ] N596.15 : Type {8,10}_12 Order 4320 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-4)^2, R * S^-1 * R * S^-2 * R^3 * S * R^-2 * S^2 * T ] N596.16 : Type {8,10}_24 Order 4320 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^8, S^10, (R * S)^2, (R * T)^2, (S * T)^2, R^-2 * S * R^3 * S * R^-1 * S * T, R * S^-2 * R^4 * S^2 * R^-1 * S * T ] N596.17 : Type {10,52}_78 Order 3120 mV = 13 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R * S^-1 * R)^2, R^3 * S^-1 * R^3 * S * R^-1 * S^2 * T, S^13 * R * S^-1 * R * S^5 * T * S^-1 * R * S^6 ] N596.18 : Type {12,42}_21 Order 3024 mV = 7 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^4 * S * R^-1 * S^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, R^12, S^-11 * R^2 * S^-4 * R * S * T * S^-5 ] N596.19 : Type {36,72}_9 Order 2592 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, S^2 * R * T * S * R^6 * S * R^-2 * S^5 ] N596.20 : Type {36,72}_18 Order 2592 mV = 18 mF = 6 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, (R * S^-1 * R^4)^2, S^-1 * R^2 * S^-1 * R^3 * S^-1 * R^2 * S^-1 * R, R * S^-1 * R^-1 * T * S^-2 * R^5 * S * R^-1 * S^-5 * R ] Genus 597 N597.1 : Type {6,598}_897 Order 3588 mV = 299 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-150 * R^3 * S^9 * T * S^-140 ] Genus 598 N598.1 : Type {4,600}_600 Order 4800 mV = 200 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^2, S^150 * R^2 * S * R^-1 * S^-3 * T * S^146 ] N598.2 : Type {4,600}_600 Order 4800 mV = 200 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^600 ] N598.3 : Type {6,152}_57 Order 3648 mV = 19 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S, (R * S^-1)^8, S^-12 * R * S * R^-1 * T * S * R^-1 * S^-5 ] N598.4 : Type {8,102}_51 Order 3264 mV = 17 mF = 1 Defining relations for automorphism group: [ T^2, R^8, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^4 * S^-1 * R * S^-2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-26 * R^2 * S^-4 * R * S * T * S^-20 ] Genus 599 No non-orientable regular maps of genus 599 Genus 600 No non-orientable regular maps of genus 600 Genus 601 N601.1 : Type {4,603}_603 Order 4824 mV = 201 mF = 2 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^2 * S * T, S^-603 ] N601.2 : Type {6,602}_903 Order 3612 mV = 301 mF = 3 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-151 * R^3 * S^9 * T * S^-141 ] N601.3 : Type {10,302}_755 Order 3020 mV = 151 mF = 5 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-76 * R^5 * S^8 * T * S^-67 ] N601.4 : Type {14,202}_707 Order 2828 mV = 101 mF = 7 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^14, S^-51 * R^7 * S^7 * T * S^-43 ] N601.5 : Type {22,122}_671 Order 2684 mV = 61 mF = 11 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^22, S^-31 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-20 ] N601.6 : Type {26,102}_663 Order 2652 mV = 51 mF = 13 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, R^26, S^-26 * R^-7 * S^2 * T * S^-3 * T * S^2 * T * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-13 ] N601.7 : Type {42,62}_651 Order 2604 mV = 31 mF = 21 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * S^-1)^2, (R * T)^2, (S * T)^2, S^-16 * R^13 * S^7 * R^-1 * T * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1 ] Genus 602 N602.1 : Type {4,6}_10 Order 14400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, S^-1 * R^-1 * S * R * S^-1 * R^-1 * S * R * S^-1 * R^2 * S^-1 * R * S * R^-1 * S^-1 * R * S * R^-1 * S^-1, (R * S^-1)^10, S * R^-1 * S^2 * R * S^-1 * R * S^-1 * R * S^-1 * R * S^2 * R^-1 * S * R^-1 * S * R^-1 * S^-1 * T * S * R^-1 ] N602.2 : Type {4,6}_10 Order 14400 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^4, S^6, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-2)^4, 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^-2 * R^-2 * S^-3 * R^-2 * S^-3 * R^2 * S^3 * R^2 * S^3 * R^2 * S * T ] N602.3 : Type {4,44}_20 Order 5280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, S^2 * R * S^-2 * R * S^-1 * R^-1 * S * R^-1 * S * R^-1 * S * R^-1 * S^-1 * R * S^-1 * T ] N602.4 : Type {4,44}_20 Order 5280 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^4, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-2 * R^-1 * S * R * S^-1 * R * S^-1 * R * S * R^-1 * S^-2, R^-1 * S * R^-1 * S * R^-1 * S * R^-2 * S^-1 * R * S^-1 * R * S^-1 * T, S^-1 * T * S * R * S^-4 * R^-1 * S^3 * R^-1 * S^-3, (R * S^-5 * R * S^-1)^2 ] N602.5 : Type {6,6}_10 Order 7200 mV = 1 mF = 1 Self-dual Defining relations for automorphism group: [ T^2, R^6, S^6, (R * S)^2, (R * T)^2, (S * T)^2, R^3 * S^3 * R^-3 * S^-3, (R * S^-1)^5, S^-1 * R^2 * S^-1 * R^2 * S^-1 * R^3 * S * R^-2 * S * R^-2 * T, S^2 * R^-1 * S * R^-1 * S^-3 * R * S^-1 * R * S^3 * R^-1 * S^2 * R * T ] N602.6 : Type {6,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-1 * R^2 * S^-2 * R^-2 * S^4 * R^-2 * S^-1, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T ] N602.7 : Type {6,8}_8 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-1 * R^-2 * S * R^2 * S * R^-1 * S^-1 * R^2 * S, (R * S^-2)^4, S^-1 * R^2 * S^-2 * R^-2 * S^4 * R^-2 * S^-1, S^-1 * R * S^-1 * R^2 * S^-1 * R^2 * S^-1 * R * S^-1 * R * S * T ] N602.8 : Type {6,8}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R^-2 * S * R^-3 * S^-1 * R^2 * S^-1 * R * T, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] N602.9 : Type {6,8}_8 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S * R^-1 * S * R * S^-2 * R^-3 * S^-1 * R^2 * S^-1 * R^2 * T, R^-1 * S * R^2 * S^-2 * R * S^-1 * R^-2 * S^2 * R^-2 * S^-2 ] N602.10 : Type {6,8}_15 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S * R^-2 * S^-1, R^-1 * S * R * T * S * R * S^-1 * R^-1 * S * R^-2 * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^2 ] N602.11 : Type {6,8}_30 Order 5760 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, S^-1 * R * S^-1 * R * S^-1 * R^-1 * S^2 * R^-2 * S * R^-2 * S^-1 * R^2 * S^-1 * R, S^-1 * R^-2 * S * R * S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1 * R * S * R^-2 * S^-1, R^-1 * T * S^-1 * R^-1 * S * R^2 * S^-2 * R^-2 * S^-1 * R^2 * S * R^-2 * S^-1 * R * S^2 ] N602.12 : Type {6,8}_40 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, S^-2 * R^-1 * S^2 * R * S^-2 * R^-1 * S^2 * R^-1 * S * R^-1 * S * T ] N602.13 : Type {6,8}_40 Order 5760 mV = 1 mF = 1 Defining relations for automorphism group: [ T^2, R^6, S^8, (R * S)^2, (R * T)^2, (S * T)^2, R^-1 * S * R^-2 * S * R^3 * S * R^-2 * S, R^-1 * S^-4 * R^3 * S^4 * R^-2, S * T * R * S^-1 * R * S^-3 * R^2 * S^2 * R^-2 * S^-1 * R * S^2 ] N602.14 : Type {6,28}_21 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S * R * S^-3 * R^-2 * S * R^-1 * S^-2 * R * T, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R ] N602.15 : Type {6,28}_36 Order 4032 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-6)^2, S^2 * R * S^-4 * R * S^-1 * R * S^-2 * R * S^-2 * R * T * S ] N602.16 : Type {6,28}_36 Order 4032 mV = 4 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^2 * S^-1 * R^-2 * S^-1 * R^2 * S^-1, (R * S^-6)^2, S^-2 * T * S * R * S^-2 * R^-1 * S * R^-1 * S^2 * R^-1 * S^2 * R^-1 * S^-2 ] N602.17 : Type {6,28}_42 Order 4032 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, R^6, (R * S)^2, (R * T)^2, (S * T)^2, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, R * S^-2 * R^-2 * S * R^3 * S^-1 * R * S * R^-2 * S^-1 * R, R^-1 * S^3 * R * S^-1 * R^2 * S^-2 * R * S^2 * R^-1 ] N602.18 : Type {10,40}_5 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-2 * S^-1 * R * S^2 * T, R^2 * S^-1 * R^2 * S^-1 * R^2 * S^2 * R^-1 * S^-1 * R * S^-1 ] N602.19 : Type {10,40}_10 Order 3200 mV = 10 mF = 1 Defining relations for automorphism group: [ T^2, R^10, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-3)^2, R^-1 * S * R * S^-1 * R^-3 * S * R^-1 * S^-2 * R * T ] N602.20 : Type {18,21}_3 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R^2 * S^-1 * R^2)^2, (R * S^-6)^2, R^-1 * S * R^-1 * S * R^-4 * S^2 * R^-4 * S ] N602.21 : Type {18,21}_21 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, (R * S^-1 * R * S^-1 * R^2)^2, (R * S^-3 * R^2)^2, (R * S^-1)^6, S^-1 * R * S^-1 * R^-4 * S * R^-1 * S^-1 * R^2 * S^-1, R^-1 * T * S^-1 * R^-1 * S * R^-1 * S * R^2 * S * R^-1 * S * R^-1 * S^-2 ] N602.22 : Type {18,21}_21 Order 3024 mV = 3 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-4 * R^-2 * S^2 * R^-2 * S^-1, S^2 * R * S^-3 * R^-1 * S^2 * R^-1 * S^-2 * T, (R * S^-1 * R * S^-1 * R^3)^2 ] N602.23 : Type {20,30}_3 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, R * S^-1 * R^-2 * S^-2 * T, (R * S^-1 * R * S^-1 * R^2)^2, S^2 * R^-1 * S * R^2 * S^-1 * R * S^-2 * R^2 * S^-2 * R * S^-1 * R^2 * S * R^-1 * S^2 ] N602.24 : Type {20,30}_6 Order 2880 mV = 2 mF = 1 Defining relations for automorphism group: [ T^2, (R * S)^2, (R * T)^2, (S * T)^2, S^-1 * R^-1 * S * R^3 * S * R^-1 * S^-1 * R, S^-1 * R^-1 * S^2 * R^2 * S^2 * R^-1 * S^-1, R^2 * S^-1 * R^4 * S^2 * R^-1 * S * T, S^-1 * R * S^-1 * R^-2 * S^10 * T * S^-2 ] Total number of maps in list above: 3260