[Introduction] - Groups of Genus: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Congruence Subgroups of PSL(2,Z) of Genus 20

Groups of Level: 17 19 20 25 26 33 34 36 38 40 44 45 48 50 55 63 66 72 77 84 86 88 90 91 92 95 96 99 105 108 117 120 125 126 132 140 144 150 154 156 160 166 168 172 174 176 180 184 189 198 210 216 220 225 228 230 231 234 235 236 237 239 248 250 254 258 259 261 268 273 286
 
 
^ Level 17 Name Index  con   len   c2   c3  > SL(2,Z/17Z) Matrix Generators
  17A20 408 1 408 8 3 [ 3, 11, 13, 14 ] , [ 5, 14, 16, 11 ] , [ 16, 0, 0, 16 ]
^ Level 19 Name Index  con   len   c2   c3  > SL(2,Z/19Z) Matrix Generators
  19A20 342 1 171 2 0 [ 2, 10, 8, 12 ] , [ 8, 3, 10, 11 ] , [ 18, 0, 0, 18 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A20 360 1 90 8 0 [ 7, 10, 7, 13 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 17, 16, 10, 13 ]
  20B20 360 1 90 8 0 [ 8, 5, 3, 12 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 17, 16, 0, 13 ]
^ Level 25 Name Index  con   len   c2   c3  > SL(2,Z/25Z) Matrix Generators
  25A20 300 1 10 0 0 [ 4, 0, 10, 19 ] , [ 6, 20, 15, 21 ] , [ 21, 0, 15, 6 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A20 364 1 91 12 4 [ 1, 13, 13, 14 ] , [ 4, 15, 11, 22 ] , [ 25, 12, 14, 13 ] , [ 25, 13, 13, 12 ]
  26B20 364 1 91 12 4 [ 1, 13, 13, 14 ] , [ 13, 14, 12, 25 ] , [ 21, 0, 5, 5 ] , [ 25, 0, 0, 25 ]
^ Level 33 Name Index  con   len   c2   c3  > SL(2,Z/33Z) Matrix Generators
  33A20 330 1 165 14 0 [ 0, 32, 1, 0 ] , [ 10, 0, 0, 10 ] , [ 12, 8, 19, 21 ] , [ 12, 11, 22, 12 ] , [ 19, 24, 24, 13 ] , [ 23, 0, 0, 23 ]
^ Level 34 Name Index  con   len   c2   c3  > SL(2,Z/34Z) Matrix Generators
  34A20 306 1 153 8 0 [ 1, 5, 29, 10 ] , [ 1, 17, 17, 18 ] , [ 3, 11, 30, 31 ] , [ 6, 31, 1, 11 ] , [ 10, 21, 13, 7 ] , [ 18, 17, 17, 1 ] , [ 33, 17, 17, 16 ]
  34B20 306 1 153 8 0 [ 1, 5, 29, 10 ] , [ 1, 17, 17, 18 ] , [ 3, 11, 13, 14 ] , [ 6, 31, 1, 28 ] , [ 10, 21, 13, 7 ] , [ 18, 17, 17, 1 ] , [ 33, 17, 17, 16 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A20 324 1 162 14 0 [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 0, 19 ] , [ 25, 16, 16, 29 ] , [ 29, 12, 12, 5 ] , [ 33, 20, 22, 21 ]
  36B20 324 1 162 14 0 [ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ] , [ 29, 28, 4, 25 ]
  36C20 324 2 162 14 0 [ 13, 12, 12, 25 ] , [ 15, 22, 11, 21 ] , [ 19, 0, 0, 19 ] , [ 23, 2, 29, 1 ] , [ 29, 12, 12, 5 ] , [ 33, 20, 4, 21 ]
^ Level 38 Name Index  con   len   c2   c3  > SL(2,Z/38Z) Matrix Generators
  38A20 342 1 171 20 0 [ 3, 10, 37, 35 ] , [ 11, 22, 12, 31 ] , [ 20, 19, 19, 1 ] , [ 31, 4, 16, 7 ] , [ 37, 0, 0, 37 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A20 360 1 90 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 28, 33 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 10, 11 ] , [ 38, 31, 5, 22 ] , [ 39, 20, 20, 39 ]
  40B20 360 1 90 8 0 [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 21, 0, 0, 21 ] , [ 31, 30, 10, 11 ] , [ 38, 15, 37, 22 ] , [ 39, 20, 20, 39 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A20 264 2 11 0 0 [ 3, 20, 16, 19 ] , [ 21, 0, 0, 21 ] , [ 21, 40, 20, 13 ] , [ 23, 0, 0, 23 ]
  44B20 330 1 165 14 0 [ 1, 0, 22, 1 ] , [ 1, 22, 11, 23 ] , [ 13, 20, 20, 41 ] , [ 21, 0, 0, 21 ] , [ 21, 36, 36, 1 ] , [ 23, 0, 22, 23 ] , [ 37, 24, 30, 29 ] , [ 41, 24, 24, 13 ] , [ 41, 32, 32, 25 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A20 270 1 135 2 0 [ 1, 30, 15, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 27, 9, 1 ] , [ 21, 20, 40, 6 ] , [ 26, 0, 0, 26 ] , [ 28, 0, 18, 37 ] , [ 37, 18, 36, 37 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A20 288 1 24 0 0 [ 0, 1, 47, 36 ] , [ 1, 0, 24, 1 ] , [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48B20 288 1 72 0 0 [ 0, 1, 47, 36 ] , [ 1, 0, 24, 1 ] , [ 1, 24, 24, 1 ] , [ 9, 32, 16, 9 ] , [ 17, 0, 0, 17 ] , [ 25, 16, 16, 41 ] , [ 47, 0, 0, 47 ] , [ 47, 36, 12, 47 ]
  48C20 288 1 72 8 0 [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 32, 1 ] , [ 25, 36, 36, 25 ] , [ 40, 1, 31, 20 ] , [ 47, 12, 36, 47 ] , [ 47, 24, 24, 47 ]
  48D20 288 1 72 8 0 [ 1, 24, 24, 1 ] , [ 13, 16, 4, 5 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 36 ] , [ 25, 36, 36, 25 ] , [ 29, 40, 4, 37 ] , [ 47, 12, 36, 47 ] , [ 47, 24, 24, 47 ]
  48E20 288 1 144 8 0 [ 0, 5, 19, 24 ] , [ 0, 17, 31, 36 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 8 ] , [ 17, 0, 24, 17 ] , [ 17, 36, 36, 17 ] , [ 25, 36, 36, 25 ] , [ 47, 36, 12, 47 ]
  48F20 288 1 144 8 0 [ 0, 17, 31, 36 ] , [ 1, 24, 24, 1 ] , [ 5, 0, 36, 29 ] , [ 16, 1, 31, 8 ] , [ 17, 0, 24, 17 ] , [ 17, 36, 36, 17 ] , [ 25, 36, 36, 25 ] , [ 47, 36, 12, 47 ]
  48G20 288 2 72 8 0 [ 1, 24, 24, 1 ] , [ 8, 25, 7, 40 ] , [ 16, 29, 11, 44 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 36, 36, 25 ] , [ 32, 41, 23, 40 ] , [ 47, 24, 24, 47 ]
  48H20 288 2 72 8 0 [ 0, 29, 43, 24 ] , [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 16, 17, 47, 20 ] , [ 17, 0, 0, 17 ] , [ 25, 36, 36, 25 ] , [ 47, 12, 36, 47 ] , [ 47, 24, 24, 47 ]
  48I20 288 2 72 8 0 [ 1, 24, 24, 1 ] , [ 8, 25, 7, 40 ] , [ 16, 29, 11, 44 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 25, 36, 36, 25 ] , [ 33, 32, 16, 33 ] , [ 47, 24, 24, 47 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A20 300 1 150 4 0 [ 1, 25, 25, 26 ] , [ 11, 20, 0, 41 ] , [ 21, 20, 30, 31 ] , [ 39, 30, 0, 9 ] , [ 43, 16, 15, 37 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A20 330 1 330 14 0 [ 11, 45, 10, 11 ] , [ 21, 0, 0, 21 ] , [ 26, 25, 20, 51 ] , [ 34, 11, 33, 1 ] , [ 36, 35, 35, 31 ] , [ 41, 20, 20, 46 ] , [ 45, 22, 22, 12 ] , [ 46, 35, 35, 41 ] , [ 54, 0, 0, 54 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A20 252 2 21 0 0 [ 4, 48, 3, 52 ] , [ 13, 42, 0, 34 ] , [ 19, 54, 27, 37 ] , [ 22, 21, 21, 43 ] , [ 22, 42, 0, 43 ] , [ 23, 9, 57, 47 ] , [ 28, 18, 54, 28 ] , [ 37, 45, 0, 46 ] , [ 46, 27, 45, 10 ] , [ 46, 54, 54, 10 ] , [ 55, 0, 0, 55 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A20 264 2 44 0 0 [ 1, 0, 22, 1 ] , [ 17, 24, 42, 5 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 22, 23 ] , [ 43, 0, 0, 43 ] , [ 53, 0, 38, 5 ]
  66B20 330 2 55 24 0 [ 0, 1, 65, 0 ] , [ 1, 22, 22, 23 ] , [ 1, 33, 33, 34 ] , [ 13, 24, 24, 19 ] , [ 23, 0, 0, 23 ] , [ 24, 41, 31, 42 ] , [ 25, 18, 51, 13 ] , [ 31, 24, 3, 13 ] , [ 43, 0, 0, 43 ] , [ 45, 22, 44, 45 ] , [ 47, 46, 46, 31 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A20 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 17, 50, 39, 47 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 37, 0, 36, 37 ] , [ 37, 36, 36, 37 ] , [ 47, 56, 48, 71 ] , [ 49, 8, 48, 49 ] , [ 53, 50, 39, 11 ] , [ 65, 44, 48, 17 ]
  72B20 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 27, 19 ] , [ 1, 66, 27, 55 ] , [ 17, 24, 0, 17 ] , [ 19, 0, 36, 19 ] , [ 19, 48, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 64, 48, 25 ] , [ 35, 32, 60, 59 ] , [ 37, 0, 36, 37 ]
  72C20 288 2 48 0 6 [ 1, 16, 24, 25 ] , [ 1, 24, 0, 1 ] , [ 1, 34, 51, 7 ] , [ 1, 36, 36, 1 ] , [ 17, 48, 0, 17 ] , [ 37, 18, 27, 19 ] , [ 37, 36, 0, 37 ] , [ 46, 63, 27, 1 ] , [ 55, 36, 36, 55 ]
  72D20 324 1 162 14 0 [ 1, 16, 64, 17 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 9, 16, 32, 9 ] , [ 19, 36, 0, 19 ] , [ 19, 45, 54, 37 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 12, 48, 65 ] , [ 41, 48, 48, 65 ] , [ 55, 27, 54, 37 ] , [ 55, 63, 54, 37 ]
  72E20 324 1 162 14 0 [ 1, 16, 28, 17 ] , [ 1, 34, 28, 17 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 1, 70, 28, 17 ] , [ 19, 36, 0, 19 ] , [ 19, 61, 10, 17 ] , [ 25, 48, 48, 49 ] , [ 25, 56, 32, 17 ] , [ 37, 36, 0, 37 ] , [ 41, 12, 48, 65 ] , [ 41, 48, 48, 65 ]
  72F20 324 2 162 14 0 [ 1, 16, 28, 17 ] , [ 1, 34, 28, 17 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 0, 1 ] , [ 1, 70, 28, 17 ] , [ 9, 16, 32, 9 ] , [ 19, 36, 0, 19 ] , [ 19, 61, 10, 17 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 12, 48, 65 ] , [ 41, 48, 48, 65 ]
^ Level 77 Name Index  con   len   c2   c3  > SL(2,Z/77Z) Matrix Generators
  77A20 264 2 88 0 0 [ 17, 41, 58, 72 ] , [ 21, 72, 73, 23 ] , [ 23, 22, 33, 45 ] , [ 23, 33, 11, 56 ] , [ 76, 0, 0, 76 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A20 252 2 21 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 43, 0, 42, 43 ] , [ 47, 72, 39, 83 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ]
  84B20 252 2 21 0 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 29, 56, 56, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 47, 36, 72, 23 ] , [ 55, 54, 66, 19 ] , [ 57, 28, 56, 57 ]
  84C20 252 2 21 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 57, 56, 70, 57 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ]
  84D20 252 2 63 0 0 [ 13, 0, 0, 13 ] , [ 13, 12, 24, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 43, 42, 63, 1 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ]
  84E20 252 2 63 0 0 [ 1, 28, 28, 29 ] , [ 5, 16, 4, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 43, 0, 42, 43 ] , [ 43, 56, 35, 71 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ]
  84F20 252 2 63 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 45, 68, 40, 81 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ]
  84G20 252 2 63 0 0 [ 1, 56, 56, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 56, 35, 43 ]
  84H20 252 2 63 0 0 [ 1, 56, 56, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 12, 24, 61 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ]
  84I20 288 1 24 0 0 [ 13, 60, 48, 73 ] , [ 25, 36, 12, 61 ] , [ 27, 14, 28, 27 ] , [ 29, 0, 0, 29 ] , [ 33, 76, 2, 81 ] , [ 37, 12, 60, 49 ] , [ 49, 72, 24, 37 ] , [ 53, 8, 68, 61 ] , [ 57, 14, 28, 57 ] , [ 61, 12, 12, 1 ] , [ 61, 20, 44, 53 ] , [ 61, 48, 72, 25 ]
  84J20 288 1 48 0 0 [ 1, 56, 56, 29 ] , [ 13, 24, 72, 49 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 35, 54, 60, 47 ] , [ 57, 28, 56, 57 ] , [ 61, 41, 44, 53 ] , [ 65, 54, 60, 77 ] , [ 73, 24, 36, 13 ]
  84K20 288 1 72 0 0 [ 13, 60, 48, 73 ] , [ 15, 56, 28, 15 ] , [ 19, 62, 44, 11 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 33, 76, 2, 81 ] , [ 37, 12, 60, 49 ] , [ 49, 72, 24, 37 ] , [ 53, 8, 68, 61 ] , [ 61, 12, 12, 1 ] , [ 61, 48, 72, 25 ] , [ 69, 56, 28, 69 ]
  84L20 288 1 144 0 0 [ 13, 24, 72, 49 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 47, 13, 16, 67 ] , [ 49, 68, 32, 5 ] , [ 57, 28, 56, 57 ] , [ 65, 54, 60, 77 ] , [ 71, 70, 28, 43 ] , [ 73, 24, 36, 13 ]
  84M20 288 2 24 0 0 [ 1, 0, 42, 1 ] , [ 5, 76, 16, 25 ] , [ 9, 58, 44, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 44, 16, 33 ] , [ 33, 20, 16, 81 ] , [ 43, 42, 42, 43 ] , [ 73, 24, 36, 13 ]
  84N20 288 2 48 0 0 [ 1, 48, 80, 61 ] , [ 5, 20, 2, 25 ] , [ 13, 0, 63, 13 ] , [ 13, 60, 48, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 31, 24, 57, 55 ] , [ 33, 20, 16, 81 ] , [ 45, 80, 64, 69 ] , [ 57, 56, 28, 57 ] , [ 65, 12, 60, 77 ]
^ Level 86 Name Index  con   len   c2   c3  > SL(2,Z/86Z) Matrix Generators
  86A20 264 1 44 0 0 [ 1, 43, 43, 44 ] , [ 7, 72, 64, 81 ] , [ 77, 16, 16, 67 ] , [ 85, 0, 0, 85 ]
  86B20 264 1 44 0 0 [ 3, 48, 14, 81 ] , [ 5, 58, 18, 37 ] , [ 11, 70, 8, 51 ] , [ 27, 54, 48, 61 ] , [ 43, 74, 18, 45 ]
^ Level 88 Name Index  con   len   c2   c3  > SL(2,Z/88Z) Matrix Generators
  88A20 264 2 33 0 0 [ 1, 22, 66, 45 ] , [ 1, 44, 44, 1 ] , [ 23, 22, 66, 67 ] , [ 45, 44, 44, 45 ] , [ 63, 54, 10, 3 ] , [ 65, 0, 0, 65 ] , [ 87, 86, 18, 35 ]
  88B20 264 2 132 0 0 [ 1, 0, 44, 1 ] , [ 1, 44, 33, 45 ] , [ 19, 36, 37, 47 ] , [ 23, 44, 55, 67 ] , [ 27, 80, 74, 27 ] , [ 45, 0, 66, 45 ] , [ 65, 0, 0, 65 ]
  88C20 264 2 132 0 0 [ 1, 22, 22, 45 ] , [ 1, 44, 0, 1 ] , [ 23, 22, 66, 67 ] , [ 45, 44, 44, 45 ] , [ 63, 54, 10, 3 ] , [ 65, 0, 0, 65 ] , [ 87, 86, 18, 35 ]
  88D20 264 2 132 6 0 [ 45, 0, 44, 45 ] , [ 45, 44, 0, 45 ] , [ 53, 68, 48, 45 ] , [ 65, 0, 0, 65 ] , [ 67, 0, 44, 67 ] , [ 67, 22, 11, 1 ] , [ 71, 42, 79, 17 ]
  88E20 288 1 144 0 0 [ 1, 22, 77, 23 ] , [ 1, 66, 77, 67 ] , [ 17, 16, 72, 73 ] , [ 23, 0, 0, 23 ] , [ 25, 40, 16, 1 ] , [ 45, 0, 44, 45 ] , [ 73, 80, 40, 33 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A20 270 1 45 6 0 [ 7, 33, 36, 67 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 60, 60, 61 ] , [ 37, 18, 36, 37 ] , [ 41, 0, 60, 11 ] , [ 61, 60, 0, 31 ] , [ 71, 30, 60, 71 ] , [ 71, 65, 80, 1 ] , [ 73, 0, 18, 37 ]
  90B20 270 1 90 6 0 [ 11, 80, 50, 61 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 31, 60, 60, 61 ] , [ 37, 18, 21, 37 ] , [ 37, 18, 66, 37 ] , [ 71, 0, 0, 71 ] , [ 73, 0, 18, 37 ]
  90C20 270 2 135 8 0 [ 1, 30, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 26, 45, 45, 71 ] , [ 31, 35, 80, 41 ] , [ 37, 18, 36, 37 ] , [ 71, 20, 80, 1 ] , [ 73, 0, 18, 37 ]
  90D20 270 2 135 8 0 [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 27, 28, 26, 27 ] , [ 31, 60, 60, 61 ] , [ 37, 18, 36, 37 ] , [ 41, 0, 60, 11 ] , [ 61, 60, 0, 31 ] , [ 71, 30, 60, 71 ] , [ 71, 65, 80, 1 ] , [ 73, 0, 18, 37 ]
  90E20 270 2 270 8 0 [ 1, 18, 36, 19 ] , [ 1, 50, 50, 71 ] , [ 1, 60, 30, 1 ] , [ 16, 45, 15, 31 ] , [ 19, 0, 0, 19 ] , [ 37, 18, 36, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 20, 35, 1 ] , [ 73, 0, 18, 37 ]
  90F20 324 1 162 20 0 [ 1, 80, 80, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 21, 70, 50, 81 ] , [ 31, 0, 30, 61 ] , [ 31, 30, 0, 61 ] , [ 31, 60, 60, 61 ] , [ 41, 0, 60, 11 ] , [ 61, 30, 30, 31 ] , [ 71, 80, 20, 1 ] , [ 79, 77, 14, 41 ]
  90G20 324 2 162 16 0 [ 1, 80, 80, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 31, 0, 30, 61 ] , [ 31, 30, 0, 61 ] , [ 31, 60, 60, 61 ] , [ 39, 52, 14, 81 ] , [ 41, 0, 60, 11 ] , [ 61, 5, 50, 41 ] , [ 61, 30, 30, 31 ] , [ 89, 62, 74, 1 ]
^ Level 91 Name Index  con   len   c2   c3  > SL(2,Z/91Z) Matrix Generators
  91A20 294 1 294 10 0 [ 14, 78, 13, 14 ] , [ 18, 44, 2, 10 ] , [ 19, 4, 46, 72 ] , [ 27, 0, 0, 27 ] , [ 46, 44, 51, 31 ] , [ 53, 39, 78, 66 ] , [ 66, 26, 26, 53 ] , [ 90, 0, 0, 90 ]
^ Level 92 Name Index  con   len   c2   c3  > SL(2,Z/92Z) Matrix Generators
  92A20 288 1 72 0 0 [ 1, 0, 46, 1 ] , [ 13, 44, 72, 81 ] , [ 55, 30, 62, 79 ] , [ 77, 32, 16, 21 ] , [ 87, 40, 24, 47 ]
  92B20 288 1 144 0 0 [ 1, 0, 46, 1 ] , [ 25, 36, 47, 53 ] , [ 37, 40, 32, 57 ] , [ 41, 36, 72, 61 ] , [ 59, 44, 3, 35 ] , [ 65, 48, 4, 61 ] , [ 73, 80, 64, 21 ]
^ Level 95 Name Index  con   len   c2   c3  > SL(2,Z/95Z) Matrix Generators
  95A20 285 2 285 5 6 [ 18, 19, 38, 56 ] , [ 20, 19, 76, 20 ] , [ 20, 38, 38, 20 ] , [ 39, 0, 0, 39 ] , [ 41, 88, 39, 93 ] , [ 56, 0, 0, 56 ] , [ 82, 35, 25, 13 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A20 288 1 24 0 0 [ 0, 1, 95, 84 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 72, 49 ] , [ 61, 60, 36, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 95, 0, 0, 95 ] , [ 95, 84, 12, 47 ]
  96B20 288 1 72 0 0 [ 0, 1, 95, 84 ] , [ 1, 32, 80, 65 ] , [ 1, 48, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 72, 49 ] , [ 61, 60, 36, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 80, 1 ] , [ 95, 0, 0, 95 ] , [ 95, 84, 12, 47 ]
  96C20 288 1 72 8 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 22, 49, 23 ] , [ 1, 86, 29, 95 ] , [ 11, 16, 34, 67 ] , [ 25, 48, 0, 73 ] , [ 43, 72, 36, 67 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 85, 72, 0, 61 ] , [ 95, 0, 0, 95 ]
  96D20 288 1 72 8 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 22, 49, 23 ] , [ 1, 86, 29, 95 ] , [ 25, 48, 0, 73 ] , [ 27, 2, 25, 9 ] , [ 43, 72, 36, 67 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 85, 72, 0, 61 ] , [ 95, 0, 0, 95 ]
  96E20 288 1 144 8 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 31, 22, 13, 65 ] , [ 31, 86, 83, 29 ] , [ 35, 72, 84, 11 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 84, 65 ] , [ 67, 62, 53, 29 ] , [ 73, 48, 48, 25 ] , [ 77, 24, 72, 5 ] , [ 89, 0, 72, 41 ]
  96F20 288 1 144 8 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 29, 0, 90, 53 ] , [ 31, 22, 13, 65 ] , [ 31, 86, 83, 29 ] , [ 35, 72, 84, 11 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 84, 65 ] , [ 73, 48, 48, 25 ] , [ 77, 24, 72, 5 ] , [ 89, 0, 72, 41 ]
  96G20 288 2 24 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 13, 0, 24, 37 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 12, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 95, 0, 0, 95 ]
  96H20 288 2 24 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 12, 49 ] , [ 25, 24, 24, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 12, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 95, 0, 0, 95 ]
  96I20 288 2 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 1, 64, 64, 65 ] , [ 3, 50, 79, 69 ] , [ 7, 46, 25, 41 ] , [ 17, 72, 84, 17 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 89, 72, 84, 41 ] , [ 95, 0, 0, 95 ]
  96J20 288 2 24 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 1, 64, 64, 65 ] , [ 7, 46, 25, 41 ] , [ 17, 72, 84, 17 ] , [ 25, 20, 50, 17 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 89, 72, 84, 41 ] , [ 95, 0, 0, 95 ]
  96K20 288 2 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 11, 24, 60, 35 ] , [ 13, 72, 0, 37 ] , [ 33, 64, 20, 33 ] , [ 47, 70, 49, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 73, 48, 0, 25 ] , [ 95, 14, 47, 13 ]
  96L20 288 2 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 48, 1 ] , [ 11, 24, 60, 35 ] , [ 13, 72, 0, 37 ] , [ 33, 64, 32, 33 ] , [ 47, 70, 61, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 73, 48, 0, 25 ] , [ 95, 14, 47, 13 ]
  96M20 288 2 72 8 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 22, 49, 23 ] , [ 25, 48, 0, 73 ] , [ 27, 2, 25, 9 ] , [ 33, 32, 64, 33 ] , [ 43, 72, 36, 67 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 85, 72, 0, 61 ] , [ 95, 0, 0, 95 ]
  96N20 288 2 72 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 1, 84, 12, 49 ] , [ 25, 24, 24, 73 ] , [ 29, 28, 28, 37 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 12, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 93, 28, 92, 69 ] , [ 95, 0, 0, 95 ]
  96O20 288 2 72 12 0 [ 0, 1, 95, 0 ] , [ 1, 48, 48, 1 ] , [ 13, 0, 24, 37 ] , [ 25, 24, 24, 73 ] , [ 29, 28, 28, 37 ] , [ 49, 48, 48, 49 ] , [ 49, 72, 24, 49 ] , [ 61, 12, 60, 37 ] , [ 65, 0, 0, 65 ] , [ 93, 28, 92, 69 ] , [ 95, 0, 0, 95 ]
  96P20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 3, 50, 79, 69 ] , [ 7, 46, 25, 41 ] , [ 17, 72, 84, 17 ] , [ 39, 46, 65, 57 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 78, 33, 89 ] , [ 89, 72, 84, 41 ] , [ 95, 0, 0, 95 ]
  96Q20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 72, 1 ] , [ 3, 50, 79, 69 ] , [ 7, 46, 25, 41 ] , [ 17, 72, 84, 17 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 64, 64, 1 ] , [ 71, 78, 33, 89 ] , [ 89, 72, 84, 41 ] , [ 95, 0, 0, 95 ]
  96R20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 31, 34, 91, 41 ] , [ 33, 50, 79, 15 ] , [ 33, 64, 32, 33 ] , [ 45, 26, 67, 75 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 89, 72, 60, 41 ]
  96S20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 31, 34, 91, 41 ] , [ 33, 64, 32, 33 ] , [ 45, 26, 67, 75 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 85, 48, 0, 61 ] , [ 89, 72, 60, 41 ]
  96T20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 33, 50, 79, 15 ] , [ 33, 64, 32, 33 ] , [ 45, 26, 67, 75 ] , [ 47, 52, 70, 55 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 89, 72, 60, 41 ]
  96U20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 33, 64, 32, 33 ] , [ 45, 26, 67, 75 ] , [ 47, 52, 70, 55 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 85, 48, 0, 61 ] , [ 89, 72, 60, 41 ]
  96V20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 49, 0, 48, 49 ] , [ 51, 28, 38, 51 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 91, 6, 21, 13 ] , [ 95, 0, 0, 95 ]
  96W20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 49, 0, 48, 49 ] , [ 51, 28, 38, 51 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 4, 58, 49 ] , [ 95, 0, 0, 95 ]
  96X20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 49, 0, 48, 49 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 4, 58, 49 ] , [ 89, 50, 71, 55 ] , [ 95, 0, 0, 95 ]
  96Y20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 32, 32, 65 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 49, 0, 48, 49 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 50, 71, 55 ] , [ 91, 6, 21, 13 ] , [ 95, 0, 0, 95 ]
  96Z20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 13, 90, 27, 91 ] , [ 25, 0, 0, 73 ] , [ 31, 34, 91, 41 ] , [ 45, 26, 67, 75 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 85, 48, 0, 61 ] , [ 89, 72, 60, 41 ]
  96AA20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 13, 90, 27, 91 ] , [ 25, 0, 0, 73 ] , [ 45, 26, 67, 75 ] , [ 47, 52, 70, 55 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 85, 48, 0, 61 ] , [ 89, 72, 60, 41 ]
  96AB20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 13, 90, 27, 91 ] , [ 25, 0, 0, 73 ] , [ 33, 50, 79, 15 ] , [ 45, 26, 67, 75 ] , [ 47, 52, 70, 55 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 89, 72, 60, 41 ]
  96AC20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 13, 90, 27, 91 ] , [ 25, 0, 0, 73 ] , [ 31, 34, 91, 41 ] , [ 33, 50, 79, 15 ] , [ 45, 26, 67, 75 ] , [ 49, 0, 48, 49 ] , [ 49, 48, 24, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 48, 24, 23 ] , [ 89, 72, 60, 41 ]
  96AD20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 23, 18, 15, 41 ] , [ 49, 0, 48, 49 ] , [ 51, 28, 38, 51 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 91, 6, 21, 13 ] , [ 95, 0, 0, 95 ]
  96AE20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 23, 18, 15, 41 ] , [ 49, 0, 48, 49 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 50, 71, 55 ] , [ 91, 6, 21, 13 ] , [ 95, 0, 0, 95 ]
  96AF20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 23, 18, 15, 41 ] , [ 49, 0, 48, 49 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 4, 58, 49 ] , [ 89, 50, 71, 55 ] , [ 95, 0, 0, 95 ]
  96AG20 288 2 72 12 0 [ 1, 0, 48, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 24, 12, 17 ] , [ 23, 18, 15, 41 ] , [ 49, 0, 48, 49 ] , [ 51, 28, 38, 51 ] , [ 55, 48, 72, 7 ] , [ 55, 50, 71, 89 ] , [ 65, 0, 0, 65 ] , [ 89, 4, 58, 49 ] , [ 95, 0, 0, 95 ]
^ Level 99 Name Index  con   len   c2   c3  > SL(2,Z/99Z) Matrix Generators
  99A20 297 2 297 9 6 [ 34, 33, 88, 1 ] , [ 34, 77, 44, 56 ] , [ 43, 50, 62, 56 ] , [ 56, 44, 77, 34 ] , [ 78, 26, 46, 75 ] , [ 89, 0, 0, 89 ] , [ 98, 0, 0, 98 ]
^ Level 105 Name Index  con   len   c2   c3  > SL(2,Z/105Z) Matrix Generators
  105A20 252 2 42 0 0 [ 1, 0, 63, 1 ] , [ 1, 45, 75, 16 ] , [ 36, 35, 70, 36 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ]
^ Level 108 Name Index  con   len   c2   c3  > SL(2,Z/108Z) Matrix Generators
  108A20 288 1 96 0 9 [ 1, 0, 72, 1 ] , [ 1, 96, 64, 97 ] , [ 37, 0, 36, 73 ] , [ 37, 72, 96, 73 ] , [ 55, 0, 0, 55 ] , [ 61, 0, 84, 85 ] , [ 64, 63, 45, 19 ] , [ 73, 0, 0, 37 ] , [ 107, 0, 0, 107 ]
  108B20 324 2 324 26 0 [ 1, 72, 36, 1 ] , [ 17, 84, 96, 17 ] , [ 28, 27, 81, 28 ] , [ 37, 100, 88, 89 ] , [ 55, 0, 0, 55 ] , [ 65, 28, 40, 97 ] , [ 73, 0, 36, 37 ] , [ 73, 60, 48, 1 ] , [ 82, 27, 27, 1 ]
^ Level 117 Name Index  con   len   c2   c3  > SL(2,Z/117Z) Matrix Generators
  117A20 252 1 126 0 0 [ 1, 72, 72, 37 ] , [ 14, 0, 0, 92 ] , [ 25, 45, 45, 67 ] , [ 40, 78, 78, 79 ] , [ 79, 0, 0, 40 ] , [ 79, 13, 13, 14 ] , [ 82, 9, 90, 37 ] , [ 105, 91, 26, 66 ]
^ Level 120 Name Index  con   len   c2   c3  > SL(2,Z/120Z) Matrix Generators
  120A20 240 1 20 0 0 [ 1, 48, 96, 49 ] , [ 1, 60, 60, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 96, 25 ] , [ 61, 60, 0, 61 ] , [ 81, 100, 20, 81 ] , [ 97, 0, 72, 73 ] , [ 99, 100, 80, 99 ] , [ 106, 15, 15, 61 ]
  120B20 240 1 60 0 0 [ 1, 60, 60, 1 ] , [ 25, 96, 24, 49 ] , [ 31, 60, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 100, 100, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 72, 24, 1 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 24, 0, 97 ] , [ 81, 100, 80, 81 ]
^ Level 125 Name Index  con   len   c2   c3  > SL(2,Z/125Z) Matrix Generators
  125A20 300 1 30 0 0 [ 44, 45, 85, 104 ] , [ 51, 75, 0, 76 ] , [ 61, 90, 0, 41 ] , [ 71, 65, 40, 56 ] , [ 101, 75, 75, 26 ] , [ 115, 113, 83, 87 ]
  125B20 300 1 30 0 0 [ 26, 50, 50, 101 ] , [ 31, 10, 35, 96 ] , [ 44, 45, 85, 104 ] , [ 46, 0, 55, 106 ] , [ 101, 0, 25, 26 ] , [ 107, 102, 82, 70 ]
^ Level 126 Name Index  con   len   c2   c3  > SL(2,Z/126Z) Matrix Generators
  126A20 252 2 63 4 0 [ 1, 18, 108, 55 ] , [ 1, 28, 49, 113 ] , [ 1, 63, 63, 64 ] , [ 19, 36, 72, 37 ] , [ 43, 84, 84, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 120, 75, 1 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 113, 42, 42, 29 ]
  126B20 252 2 63 4 0 [ 1, 18, 108, 55 ] , [ 19, 36, 72, 37 ] , [ 43, 0, 0, 85 ] , [ 43, 20, 2, 83 ] , [ 43, 56, 119, 29 ] , [ 55, 0, 0, 55 ] , [ 64, 63, 63, 1 ] , [ 71, 0, 0, 71 ] , [ 73, 54, 108, 73 ] , [ 85, 84, 84, 43 ]
  126C20 252 2 84 0 0 [ 1, 0, 63, 1 ] , [ 1, 56, 84, 43 ] , [ 1, 84, 0, 1 ] , [ 37, 90, 54, 19 ] , [ 43, 0, 0, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 36, 54, 1 ] , [ 55, 108, 18, 1 ] , [ 71, 0, 63, 71 ] , [ 73, 54, 108, 73 ]
  126D20 252 2 84 0 0 [ 1, 0, 63, 1 ] , [ 1, 84, 0, 1 ] , [ 1, 90, 72, 55 ] , [ 43, 0, 0, 85 ] , [ 43, 70, 84, 43 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 71, 0, 63, 71 ] , [ 73, 72, 18, 73 ]
  126E20 252 2 126 0 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 29, 14, 56, 1 ] , [ 43, 0, 42, 85 ] , [ 43, 42, 42, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 15, 117, 64 ] , [ 64, 63, 63, 1 ] , [ 73, 9, 81, 10 ] , [ 113, 42, 42, 29 ]
^ Level 132 Name Index  con   len   c2   c3  > SL(2,Z/132Z) Matrix Generators
  132A20 264 2 88 0 6 [ 1, 88, 88, 89 ] , [ 45, 44, 88, 45 ] , [ 53, 8, 20, 13 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 100, 121, 99, 67 ] , [ 109, 0, 0, 109 ] , [ 129, 17, 19, 68 ]
  132B20 264 2 132 0 0 [ 1, 66, 0, 1 ] , [ 1, 88, 0, 1 ] , [ 17, 42, 24, 5 ] , [ 35, 70, 12, 107 ] , [ 67, 33, 0, 67 ] , [ 67, 66, 0, 67 ] , [ 89, 44, 0, 89 ] , [ 109, 0, 0, 109 ]
  132C20 264 2 264 0 6 [ 11, 82, 46, 67 ] , [ 43, 99, 77, 76 ] , [ 64, 63, 97, 13 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 22, 1 ] , [ 100, 33, 55, 67 ] , [ 111, 88, 110, 111 ]
^ Level 140 Name Index  con   len   c2   c3  > SL(2,Z/140Z) Matrix Generators
  140A20 252 2 126 0 0 [ 1, 60, 120, 61 ] , [ 11, 70, 65, 121 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 41, 0, 70, 41 ] , [ 41, 40, 120, 1 ] , [ 41, 120, 40, 1 ] , [ 61, 20, 40, 121 ] , [ 81, 42, 44, 9 ] , [ 101, 100, 60, 101 ] , [ 111, 80, 90, 51 ] , [ 113, 28, 112, 29 ]
  140B20 280 2 140 8 4 [ 1, 35, 35, 106 ] , [ 1, 56, 28, 29 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 56, 113 ] , [ 57, 84, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 81, 120, 0, 121 ] , [ 91, 115, 30, 81 ] , [ 121, 120, 100, 61 ]
  140C20 280 2 280 12 1 [ 1, 80, 60, 41 ] , [ 41, 0, 0, 41 ] , [ 41, 40, 120, 1 ] , [ 64, 105, 35, 99 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 105, 36 ] , [ 71, 105, 70, 1 ] , [ 101, 60, 120, 81 ] , [ 120, 21, 119, 99 ] , [ 121, 0, 40, 81 ] , [ 127, 7, 105, 8 ]
^ Level 144 Name Index  con   len   c2   c3  > SL(2,Z/144Z) Matrix Generators
  144A20 288 1 48 0 0 [ 1, 0, 108, 1 ] , [ 1, 0, 126, 1 ] , [ 1, 96, 0, 1 ] , [ 41, 0, 72, 137 ] , [ 49, 128, 48, 49 ] , [ 55, 18, 63, 73 ] , [ 73, 0, 0, 73 ] , [ 73, 0, 72, 73 ] , [ 97, 0, 0, 49 ] , [ 109, 72, 72, 37 ] , [ 127, 0, 0, 127 ]
  144B20 288 1 48 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 108, 1 ] , [ 1, 96, 0, 1 ] , [ 1, 112, 48, 49 ] , [ 19, 126, 99, 73 ] , [ 37, 72, 72, 109 ] , [ 65, 48, 108, 113 ] , [ 73, 0, 0, 73 ] , [ 91, 72, 108, 19 ] , [ 97, 0, 0, 49 ]
  144C20 288 2 72 16 0 [ 1, 72, 72, 1 ] , [ 33, 80, 136, 129 ] , [ 37, 108, 72, 109 ] , [ 46, 63, 99, 1 ] , [ 49, 0, 96, 97 ] , [ 65, 120, 120, 113 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 108, 73 ] , [ 97, 96, 96, 49 ] , [ 124, 137, 119, 56 ] , [ 127, 108, 36, 127 ]
  144D20 288 2 72 16 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 1, 108, 36, 1 ] , [ 37, 108, 72, 109 ] , [ 41, 80, 32, 73 ] , [ 49, 0, 96, 97 ] , [ 65, 48, 48, 113 ] , [ 72, 49, 47, 36 ] , [ 73, 72, 0, 73 ] , [ 82, 135, 63, 109 ] , [ 127, 108, 36, 127 ]
  144E20 288 2 72 16 0 [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 46, 63, 99, 1 ] , [ 49, 0, 96, 97 ] , [ 65, 120, 120, 113 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 108, 73 ] , [ 76, 73, 103, 80 ] , [ 97, 96, 96, 49 ] , [ 124, 137, 119, 128 ] , [ 127, 108, 36, 127 ]
  144F20 288 2 72 16 0 [ 1, 36, 108, 1 ] , [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 10, 63, 63, 37 ] , [ 41, 80, 104, 73 ] , [ 65, 48, 48, 113 ] , [ 73, 72, 0, 73 ] , [ 88, 137, 119, 92 ] , [ 97, 48, 0, 49 ] , [ 109, 36, 72, 37 ] , [ 127, 36, 108, 127 ]
  144G20 288 2 144 16 0 [ 1, 72, 72, 1 ] , [ 1, 96, 48, 1 ] , [ 37, 108, 72, 109 ] , [ 46, 63, 99, 1 ] , [ 49, 0, 96, 97 ] , [ 49, 64, 76, 17 ] , [ 65, 12, 12, 113 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 108, 73 ] , [ 124, 137, 119, 56 ] , [ 127, 0, 72, 127 ]
  144H20 288 2 144 16 0 [ 1, 72, 72, 1 ] , [ 16, 65, 47, 20 ] , [ 32, 89, 23, 136 ] , [ 37, 108, 72, 109 ] , [ 49, 0, 96, 97 ] , [ 73, 36, 36, 73 ] , [ 73, 72, 0, 73 ] , [ 97, 96, 96, 49 ] , [ 109, 81, 9, 82 ] , [ 113, 132, 132, 65 ] , [ 127, 36, 36, 127 ]
^ Level 150 Name Index  con   len   c2   c3  > SL(2,Z/150Z) Matrix Generators
  150A20 270 1 90 6 0 [ 1, 0, 75, 1 ] , [ 31, 90, 90, 121 ] , [ 67, 78, 78, 55 ] , [ 73, 58, 130, 17 ] , [ 91, 0, 90, 61 ] , [ 101, 110, 140, 1 ] , [ 119, 120, 0, 29 ] , [ 131, 90, 90, 71 ] , [ 131, 130, 100, 121 ]
  150B20 270 1 90 6 0 [ 1, 0, 75, 1 ] , [ 19, 126, 108, 61 ] , [ 41, 4, 22, 79 ] , [ 43, 6, 126, 49 ] , [ 61, 30, 30, 91 ] , [ 91, 90, 0, 61 ] , [ 131, 62, 14, 49 ] , [ 139, 60, 30, 109 ] , [ 149, 144, 24, 143 ]
  150C20 270 1 90 6 0 [ 1, 0, 75, 1 ] , [ 19, 138, 96, 121 ] , [ 31, 0, 30, 121 ] , [ 31, 90, 90, 121 ] , [ 61, 100, 10, 41 ] , [ 97, 18, 48, 145 ] , [ 101, 0, 0, 101 ] , [ 109, 120, 90, 139 ] , [ 121, 50, 20, 131 ]
  150D20 270 1 90 6 0 [ 1, 0, 75, 1 ] , [ 1, 26, 26, 77 ] , [ 19, 118, 106, 11 ] , [ 25, 102, 12, 7 ] , [ 49, 60, 90, 49 ] , [ 91, 90, 0, 61 ] , [ 95, 12, 72, 137 ] , [ 121, 60, 60, 31 ] , [ 145, 114, 66, 145 ]
  150E20 300 1 100 0 15 [ 19, 60, 30, 79 ] , [ 25, 144, 96, 85 ] , [ 31, 0, 60, 121 ] , [ 51, 125, 25, 76 ] , [ 79, 18, 78, 145 ] , [ 91, 90, 90, 61 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 101, 100, 100, 1 ]
^ Level 154 Name Index  con   len   c2   c3  > SL(2,Z/154Z) Matrix Generators
  154A20 252 2 252 0 0 [ 1, 0, 77, 1 ] , [ 1, 132, 110, 45 ] , [ 23, 22, 88, 111 ] , [ 45, 110, 110, 67 ] , [ 67, 88, 22, 45 ] , [ 69, 126, 140, 153 ] , [ 111, 0, 0, 111 ] , [ 139, 98, 56, 55 ] , [ 153, 0, 0, 153 ]
^ Level 156 Name Index  con   len   c2   c3  > SL(2,Z/156Z) Matrix Generators
  156A20 252 1 42 0 0 [ 1, 132, 27, 133 ] , [ 25, 138, 48, 109 ] , [ 77, 84, 60, 29 ] , [ 79, 0, 78, 79 ] , [ 85, 112, 28, 125 ] , [ 93, 88, 152, 117 ] , [ 97, 24, 84, 61 ] , [ 133, 60, 108, 37 ] , [ 133, 72, 18, 25 ] , [ 145, 60, 108, 49 ]
  156B20 252 2 42 0 0 [ 1, 0, 78, 1 ] , [ 1, 84, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 104, 104, 1 ] , [ 79, 0, 78, 79 ] , [ 79, 78, 39, 1 ] , [ 105, 52, 104, 105 ] , [ 109, 144, 36, 49 ] , [ 133, 132, 99, 49 ]
^ Level 160 Name Index  con   len   c2   c3  > SL(2,Z/160Z) Matrix Generators
  160A20 240 1 120 0 0 [ 1, 32, 64, 129 ] , [ 1, 40, 120, 1 ] , [ 1, 80, 80, 1 ] , [ 23, 90, 2, 147 ] , [ 23, 110, 142, 67 ] , [ 41, 40, 40, 121 ] , [ 81, 80, 80, 81 ] , [ 97, 0, 128, 33 ] , [ 97, 32, 64, 97 ] , [ 101, 20, 100, 61 ] , [ 126, 135, 85, 6 ] , [ 129, 0, 0, 129 ] , [ 151, 60, 20, 151 ]
  160B20 240 1 120 0 0 [ 1, 32, 64, 129 ] , [ 1, 40, 120, 1 ] , [ 1, 80, 80, 1 ] , [ 23, 110, 62, 67 ] , [ 41, 40, 40, 121 ] , [ 81, 80, 80, 81 ] , [ 97, 0, 128, 33 ] , [ 97, 32, 64, 97 ] , [ 101, 20, 100, 61 ] , [ 126, 135, 85, 86 ] , [ 129, 0, 0, 129 ] , [ 146, 135, 85, 106 ] , [ 151, 60, 20, 151 ]
^ Level 166 Name Index  con   len   c2   c3  > SL(2,Z/166Z) Matrix Generators
  166A20 Γ0(166) 252 1 252 0 0 [ 1, 0, 83, 1 ] , [ 13, 164, 72, 155 ] , [ 47, 24, 56, 71 ] , [ 165, 0, 0, 165 ]
^ Level 168 Name Index  con   len   c2   c3  > SL(2,Z/168Z) Matrix Generators
  168A20 252 2 42 0 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 5, 44, 32, 13 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 71, 56, 119, 127 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 0, 42, 113 ] , [ 127, 0, 42, 127 ] , [ 145, 120, 72, 121 ]
  168B20 252 2 42 0 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 71, 56, 119, 127 ] , [ 85, 0, 84, 85 ] , [ 89, 128, 32, 97 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 0, 42, 113 ] , [ 127, 0, 42, 127 ] , [ 145, 120, 72, 121 ]
  168C20 252 2 126 0 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 5, 44, 32, 13 ] , [ 49, 72, 24, 49 ] , [ 71, 56, 119, 127 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 0, 42, 113 ] , [ 127, 0, 42, 127 ] , [ 141, 28, 56, 141 ] , [ 145, 120, 72, 121 ]
  168D20 252 2 126 0 0 [ 1, 0, 84, 1 ] , [ 5, 44, 32, 13 ] , [ 49, 72, 24, 49 ] , [ 71, 56, 119, 127 ] , [ 85, 0, 84, 85 ] , [ 85, 28, 112, 29 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 0, 42, 113 ] , [ 127, 0, 42, 127 ] , [ 141, 28, 56, 141 ] , [ 145, 120, 72, 121 ]
  168E20 288 1 24 0 0 [ 1, 56, 56, 113 ] , [ 25, 120, 96, 145 ] , [ 57, 112, 56, 57 ] , [ 65, 54, 144, 161 ] , [ 71, 126, 84, 71 ] , [ 73, 108, 120, 97 ] , [ 85, 84, 0, 85 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 119, 54, 144, 47 ] , [ 145, 125, 128, 137 ]
  168F20 288 1 72 0 0 [ 1, 56, 56, 113 ] , [ 15, 14, 112, 15 ] , [ 25, 120, 96, 145 ] , [ 65, 54, 144, 161 ] , [ 71, 126, 84, 71 ] , [ 73, 108, 120, 97 ] , [ 85, 84, 0, 85 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 119, 54, 144, 47 ] , [ 145, 125, 128, 137 ]
  168G20 288 2 24 0 0 [ 1, 0, 147, 1 ] , [ 1, 48, 80, 145 ] , [ 57, 56, 112, 57 ] , [ 65, 96, 60, 161 ] , [ 65, 96, 144, 161 ] , [ 89, 104, 2, 25 ] , [ 97, 84, 84, 97 ] , [ 97, 144, 48, 73 ] , [ 113, 0, 0, 113 ] , [ 113, 56, 56, 1 ] , [ 115, 108, 141, 55 ] , [ 117, 104, 100, 165 ] , [ 129, 80, 64, 153 ]
^ Level 172 Name Index  con   len   c2   c3  > SL(2,Z/172Z) Matrix Generators
  172A20 Γ0(172) 264 1 132 0 0 [ 1, 86, 0, 1 ] , [ 5, 144, 104, 37 ] , [ 47, 165, 32, 127 ] , [ 87, 86, 0, 87 ] , [ 89, 48, 100, 81 ] , [ 97, 156, 8, 137 ] , [ 113, 140, 48, 61 ] , [ 129, 160, 104, 45 ]
^ Level 174 Name Index  con   len   c2   c3  > SL(2,Z/174Z) Matrix Generators
  174A20 270 1 90 6 0 [ 1, 0, 87, 1 ] , [ 13, 54, 144, 103 ] , [ 55, 54, 12, 151 ] , [ 59, 0, 0, 59 ] , [ 59, 58, 58, 1 ] , [ 115, 0, 0, 115 ] , [ 117, 58, 116, 117 ] , [ 163, 48, 84, 13 ]
^ Level 176 Name Index  con   len   c2   c3  > SL(2,Z/176Z) Matrix Generators
  176A20 264 2 66 0 0 [ 1, 0, 88, 1 ] , [ 1, 0, 132, 1 ] , [ 19, 36, 147, 47 ] , [ 23, 132, 55, 155 ] , [ 27, 168, 162, 115 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 88, 89 ] , [ 89, 0, 132, 89 ] , [ 89, 88, 154, 89 ] , [ 89, 132, 143, 133 ] , [ 133, 88, 154, 45 ]
  176B20 264 2 132 0 0 [ 1, 0, 66, 1 ] , [ 1, 0, 88, 1 ] , [ 1, 0, 132, 1 ] , [ 1, 44, 143, 133 ] , [ 19, 124, 37, 47 ] , [ 23, 132, 55, 155 ] , [ 27, 168, 162, 115 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 88, 89 ] , [ 89, 0, 132, 89 ] , [ 133, 88, 154, 45 ]
  176C20 264 2 132 6 0 [ 1, 0, 88, 1 ] , [ 19, 80, 114, 91 ] , [ 23, 66, 11, 1 ] , [ 45, 0, 66, 133 ] , [ 45, 88, 88, 133 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 0, 89 ] , [ 89, 0, 132, 89 ] , [ 111, 0, 0, 111 ] , [ 157, 32, 134, 117 ]
  176D20 288 1 144 0 0 [ 1, 0, 44, 1 ] , [ 1, 0, 88, 1 ] , [ 1, 112, 64, 129 ] , [ 23, 0, 88, 23 ] , [ 49, 48, 128, 129 ] , [ 67, 154, 143, 45 ] , [ 89, 0, 0, 89 ] , [ 97, 160, 160, 97 ] , [ 113, 112, 42, 65 ] , [ 133, 88, 88, 45 ]
^ Level 180 Name Index  con   len   c2   c3  > SL(2,Z/180Z) Matrix Generators
  180A20 240 1 20 0 0 [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 1, 120, 0, 1 ] , [ 1, 145, 165, 166 ] , [ 37, 0, 108, 73 ] , [ 61, 0, 0, 121 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 36, 144, 145 ] , [ 121, 140, 60, 1 ] , [ 149, 160, 30, 89 ]
  180B20 240 1 40 0 0 [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 61, 0, 0, 121 ] , [ 73, 36, 0, 37 ] , [ 91, 0, 90, 91 ] , [ 101, 150, 0, 41 ] , [ 109, 0, 0, 109 ] , [ 121, 100, 60, 121 ] , [ 121, 120, 0, 61 ] , [ 145, 144, 36, 109 ] , [ 166, 75, 15, 61 ]
  180C20 240 1 80 0 0 [ 37, 162, 171, 19 ] , [ 61, 0, 0, 121 ] , [ 61, 45, 45, 166 ] , [ 61, 80, 60, 61 ] , [ 73, 0, 36, 37 ] , [ 73, 72, 0, 37 ] , [ 73, 108, 144, 1 ] , [ 109, 0, 0, 109 ] , [ 121, 60, 0, 61 ] , [ 151, 152, 96, 43 ] , [ 161, 0, 0, 161 ]
  180D20 240 2 20 0 0 [ 25, 84, 156, 49 ] , [ 41, 0, 90, 101 ] , [ 61, 60, 0, 121 ] , [ 61, 100, 60, 1 ] , [ 73, 36, 0, 37 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 108, 36, 1 ] , [ 121, 0, 0, 61 ] , [ 136, 45, 135, 91 ]
  180E20 240 2 80 0 0 [ 1, 140, 120, 61 ] , [ 43, 108, 84, 31 ] , [ 61, 0, 0, 121 ] , [ 61, 45, 45, 166 ] , [ 73, 0, 36, 37 ] , [ 73, 72, 0, 37 ] , [ 109, 0, 0, 109 ] , [ 109, 90, 135, 19 ] , [ 121, 60, 0, 61 ] , [ 133, 108, 84, 121 ] , [ 161, 40, 60, 101 ]
  180F20 270 1 135 10 0 [ 37, 108, 36, 37 ] , [ 41, 0, 60, 101 ] , [ 61, 60, 0, 121 ] , [ 61, 140, 140, 41 ] , [ 71, 120, 60, 71 ] , [ 73, 0, 108, 37 ] , [ 81, 95, 70, 51 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 72, 144, 1 ] , [ 117, 28, 116, 117 ] , [ 121, 60, 60, 61 ]
  180G20 270 2 135 8 0 [ 37, 108, 36, 37 ] , [ 41, 0, 60, 101 ] , [ 61, 60, 0, 121 ] , [ 61, 140, 140, 41 ] , [ 71, 120, 60, 71 ] , [ 73, 0, 108, 37 ] , [ 81, 95, 70, 51 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 72, 144, 1 ] , [ 117, 28, 26, 117 ] , [ 121, 60, 60, 61 ]
  180H20 324 1 162 20 0 [ 21, 160, 140, 81 ] , [ 41, 0, 60, 101 ] , [ 61, 5, 140, 41 ] , [ 61, 120, 120, 121 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 36, 36, 73 ] , [ 109, 152, 134, 101 ] , [ 121, 0, 120, 61 ] , [ 121, 30, 0, 61 ] , [ 121, 60, 60, 61 ] , [ 161, 80, 20, 1 ]
^ Level 184 Name Index  con   len   c2   c3  > SL(2,Z/184Z) Matrix Generators
  184A20 288 1 72 0 0 [ 1, 0, 92, 1 ] , [ 1, 0, 115, 1 ] , [ 49, 164, 136, 121 ] , [ 59, 44, 95, 127 ] , [ 65, 48, 96, 153 ] , [ 73, 80, 64, 113 ] , [ 93, 0, 92, 93 ] , [ 93, 0, 138, 93 ] , [ 129, 40, 32, 57 ]
^ Level 189 Name Index  con   len   c2   c3  > SL(2,Z/189Z) Matrix Generators
  189A20 252 2 84 0 0 [ 1, 27, 135, 55 ] , [ 1, 63, 0, 1 ] , [ 43, 175, 63, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 81, 1 ] , [ 64, 126, 0, 127 ] , [ 64, 182, 63, 64 ] , [ 127, 84, 0, 64 ] , [ 134, 63, 0, 134 ] , [ 136, 54, 108, 136 ] , [ 163, 27, 54, 82 ]
  189B20 252 2 84 0 3 [ 1, 63, 0, 1 ] , [ 43, 154, 105, 64 ] , [ 55, 0, 0, 55 ] , [ 55, 108, 81, 1 ] , [ 55, 162, 54, 1 ] , [ 64, 21, 63, 127 ] , [ 85, 175, 105, 85 ] , [ 127, 0, 0, 64 ] , [ 134, 63, 0, 134 ] , [ 136, 54, 108, 136 ] , [ 163, 27, 54, 82 ]
  189C20 288 2 96 0 9 [ 1, 0, 126, 1 ] , [ 1, 126, 105, 1 ] , [ 64, 0, 0, 127 ] , [ 76, 21, 182, 13 ] , [ 82, 27, 135, 109 ] , [ 85, 0, 0, 169 ] , [ 127, 0, 0, 64 ] , [ 127, 111, 143, 61 ] , [ 148, 168, 133, 22 ] , [ 176, 168, 133, 113 ]
^ Level 198 Name Index  con   len   c2   c3  > SL(2,Z/198Z) Matrix Generators
  198A20 264 2 88 0 6 [ 34, 143, 99, 67 ] , [ 56, 121, 99, 23 ] , [ 67, 110, 132, 1 ] , [ 67, 132, 0, 133 ] , [ 109, 0, 0, 109 ] , [ 124, 133, 141, 73 ] , [ 133, 0, 0, 67 ] , [ 149, 108, 90, 137 ]
^ Level 210 Name Index  con   len   c2   c3  > SL(2,Z/210Z) Matrix Generators
  210A20 240 1 40 0 0 [ 1, 105, 105, 106 ] , [ 1, 168, 126, 169 ] , [ 27, 140, 112, 153 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 115, 6, 174, 199 ] , [ 121, 90, 120, 91 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 169, 84, 126, 85 ]
  210B20 240 1 120 0 0 [ 1, 105, 105, 106 ] , [ 1, 168, 126, 169 ] , [ 27, 140, 112, 153 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 35, 1 ] , [ 115, 6, 174, 199 ] , [ 121, 90, 120, 91 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 169, 84, 126, 85 ]
^ Level 216 Name Index  con   len   c2   c3  > SL(2,Z/216Z) Matrix Generators
  216A20 288 2 48 0 12 [ 1, 72, 0, 1 ] , [ 1, 108, 108, 1 ] , [ 25, 136, 24, 1 ] , [ 49, 54, 207, 43 ] , [ 73, 0, 0, 145 ] , [ 73, 24, 72, 145 ] , [ 82, 135, 135, 109 ] , [ 97, 0, 144, 49 ] , [ 109, 108, 0, 109 ] , [ 185, 88, 24, 113 ] , [ 187, 0, 36, 67 ]
^ Level 220 Name Index  con   len   c2   c3  > SL(2,Z/220Z) Matrix Generators
  220A20 240 1 60 0 0 [ 1, 110, 110, 1 ] , [ 21, 176, 22, 153 ] , [ 45, 88, 88, 89 ] , [ 56, 55, 165, 111 ] , [ 81, 60, 40, 141 ] , [ 89, 0, 0, 89 ] , [ 101, 80, 180, 1 ] , [ 111, 110, 0, 111 ] , [ 133, 176, 0, 177 ] , [ 177, 0, 88, 133 ]
  220B20 240 1 240 0 0 [ 1, 110, 55, 111 ] , [ 1, 165, 165, 166 ] , [ 6, 71, 67, 133 ] , [ 17, 20, 48, 173 ] , [ 34, 143, 11, 1 ] , [ 61, 200, 120, 141 ] , [ 89, 0, 0, 89 ] , [ 101, 20, 160, 121 ] , [ 111, 0, 0, 111 ] , [ 201, 100, 120, 121 ]
^ Level 225 Name Index  con   len   c2   c3  > SL(2,Z/225Z) Matrix Generators
  225A20 270 1 270 10 0 [ 26, 175, 175, 1 ] , [ 46, 135, 135, 181 ] , [ 61, 117, 129, 4 ] , [ 136, 135, 0, 91 ] , [ 139, 180, 60, 34 ] , [ 151, 0, 75, 76 ] , [ 151, 75, 0, 76 ] , [ 176, 150, 150, 101 ] , [ 190, 117, 162, 82 ] , [ 201, 100, 125, 51 ]
  225B20 270 1 270 10 0 [ 1, 150, 75, 1 ] , [ 26, 0, 0, 26 ] , [ 26, 200, 125, 1 ] , [ 76, 150, 150, 151 ] , [ 91, 45, 45, 136 ] , [ 126, 200, 175, 126 ] , [ 136, 135, 0, 91 ] , [ 159, 166, 173, 66 ] , [ 199, 144, 99, 118 ] , [ 224, 150, 75, 224 ]
  225C20 270 1 270 10 0 [ 80, 121, 94, 145 ] , [ 82, 153, 198, 10 ] , [ 126, 25, 50, 126 ] , [ 149, 75, 75, 74 ] , [ 151, 0, 0, 76 ] , [ 151, 25, 175, 26 ] , [ 151, 75, 75, 76 ] , [ 176, 0, 0, 101 ] , [ 181, 90, 90, 46 ] , [ 181, 180, 0, 46 ]
  225D20 270 1 270 10 0 [ 19, 123, 201, 46 ] , [ 46, 135, 135, 181 ] , [ 55, 72, 72, 127 ] , [ 76, 0, 75, 151 ] , [ 76, 100, 100, 176 ] , [ 91, 90, 0, 136 ] , [ 109, 120, 15, 64 ] , [ 126, 200, 175, 201 ] , [ 151, 150, 0, 76 ] , [ 176, 0, 150, 101 ]
^ Level 228 Name Index  con   len   c2   c3  > SL(2,Z/228Z) Matrix Generators
  228A20 240 1 20 0 0 [ 1, 171, 171, 58 ] , [ 25, 36, 216, 1 ] , [ 37, 0, 114, 37 ] , [ 77, 0, 0, 77 ] , [ 77, 76, 76, 1 ] , [ 97, 216, 84, 133 ] , [ 115, 0, 114, 115 ] , [ 115, 114, 0, 115 ] , [ 153, 76, 152, 153 ] , [ 205, 132, 108, 193 ]
  228B20 240 1 60 0 0 [ 1, 171, 171, 58 ] , [ 25, 36, 216, 1 ] , [ 37, 0, 114, 37 ] , [ 77, 0, 0, 77 ] , [ 97, 216, 84, 133 ] , [ 113, 76, 76, 37 ] , [ 115, 0, 114, 115 ] , [ 115, 114, 0, 115 ] , [ 189, 76, 152, 189 ] , [ 205, 132, 108, 193 ]
  228C20 240 1 80 0 0 [ 1, 76, 76, 77 ] , [ 1, 114, 171, 115 ] , [ 13, 36, 132, 85 ] , [ 25, 60, 144, 145 ] , [ 58, 171, 171, 1 ] , [ 73, 24, 60, 1 ] , [ 77, 0, 0, 77 ] , [ 115, 0, 0, 115 ] , [ 153, 76, 152, 153 ] , [ 217, 144, 132, 13 ]
  228D20 240 2 20 0 0 [ 1, 152, 152, 77 ] , [ 58, 171, 171, 1 ] , [ 77, 0, 0, 77 ] , [ 77, 152, 152, 1 ] , [ 115, 0, 114, 115 ] , [ 115, 114, 0, 115 ] , [ 181, 120, 72, 49 ] , [ 189, 76, 38, 189 ] , [ 201, 224, 16, 53 ] , [ 217, 36, 84, 181 ]
  228E20 240 2 80 0 0 [ 1, 76, 76, 77 ] , [ 1, 114, 171, 115 ] , [ 13, 36, 56, 85 ] , [ 25, 60, 144, 145 ] , [ 58, 171, 171, 1 ] , [ 73, 24, 60, 1 ] , [ 77, 0, 0, 77 ] , [ 115, 0, 0, 115 ] , [ 153, 76, 152, 153 ] , [ 217, 144, 132, 13 ]
^ Level 230 Name Index  con   len   c2   c3  > SL(2,Z/230Z) Matrix Generators
  230A20 240 1 120 0 0 [ 91, 0, 0, 91 ] , [ 93, 138, 0, 47 ] , [ 111, 210, 30, 121 ] , [ 116, 115, 115, 1 ] , [ 139, 0, 0, 139 ] , [ 139, 184, 92, 1 ] , [ 185, 184, 46, 139 ] , [ 211, 220, 30, 161 ]
^ Level 231 Name Index  con   len   c2   c3  > SL(2,Z/231Z) Matrix Generators
  231A20 264 2 88 0 6 [ 1, 154, 154, 155 ] , [ 11, 31, 193, 208 ] , [ 34, 33, 198, 199 ] , [ 43, 0, 0, 43 ] , [ 78, 77, 154, 78 ] , [ 155, 0, 0, 155 ] , [ 155, 220, 44, 210 ] , [ 188, 11, 33, 56 ] , [ 191, 8, 167, 7 ]
  231B20 264 2 88 0 6 [ 1, 154, 154, 155 ] , [ 1, 220, 44, 210 ] , [ 11, 31, 193, 208 ] , [ 34, 33, 198, 199 ] , [ 43, 0, 0, 43 ] , [ 78, 77, 154, 78 ] , [ 155, 0, 0, 155 ] , [ 191, 8, 167, 7 ] , [ 210, 220, 44, 188 ]
^ Level 234 Name Index  con   len   c2   c3  > SL(2,Z/234Z) Matrix Generators
  234A20 252 2 126 4 0 [ 10, 171, 99, 172 ] , [ 53, 0, 0, 53 ] , [ 79, 0, 156, 157 ] , [ 118, 117, 117, 1 ] , [ 127, 126, 108, 109 ] , [ 131, 182, 104, 157 ] , [ 157, 78, 0, 79 ] , [ 181, 0, 0, 181 ] , [ 183, 130, 65, 105 ] , [ 193, 54, 96, 79 ]
^ Level 235 Name Index  con   len   c2   c3  > SL(2,Z/235Z) Matrix Generators
  235A20 240 1 240 0 0 [ 21, 150, 60, 216 ] , [ 46, 0, 0, 46 ] , [ 51, 220, 35, 151 ] , [ 73, 179, 222, 113 ] , [ 167, 85, 81, 113 ] , [ 168, 148, 125, 22 ] , [ 189, 0, 0, 189 ]
^ Level 236 Name Index  con   len   c2   c3  > SL(2,Z/236Z) Matrix Generators
  236A20 240 1 60 0 0 [ 1, 118, 118, 1 ] , [ 57, 8, 80, 181 ] , [ 60, 177, 59, 119 ] , [ 117, 0, 118, 117 ] , [ 119, 118, 0, 119 ] , [ 217, 28, 212, 85 ]
  236B20 240 1 240 0 0 [ 1, 118, 59, 119 ] , [ 1, 177, 177, 178 ] , [ 21, 140, 120, 137 ] , [ 29, 4, 40, 209 ] , [ 119, 0, 0, 119 ] , [ 169, 64, 156, 13 ]
^ Level 237 Name Index  con   len   c2   c3  > SL(2,Z/237Z) Matrix Generators
  237A20 240 1 80 0 0 [ 80, 0, 0, 80 ] , [ 80, 79, 79, 1 ] , [ 80, 158, 158, 1 ] , [ 148, 219, 27, 88 ] , [ 211, 93, 168, 28 ] , [ 220, 216, 162, 214 ] , [ 232, 123, 132, 118 ]
^ Level 239 Name Index  con   len   c2   c3  > SL(2,Z/239Z) Matrix Generators
  239A20 Γ0(239) 240 1 240 0 0 [ 210, 78, 37, 90 ] , [ 210, 107, 72, 31 ] , [ 238, 0, 0, 238 ]
^ Level 248 Name Index  con   len   c2   c3  > SL(2,Z/248Z) Matrix Generators
  248A20 256 2 128 0 4 [ 32, 93, 155, 63 ] , [ 41, 64, 56, 33 ] , [ 97, 72, 32, 57 ] , [ 125, 0, 124, 125 ] , [ 125, 124, 0, 125 ] , [ 161, 160, 88, 89 ] , [ 185, 0, 0, 185 ] , [ 187, 0, 124, 187 ] , [ 187, 62, 155, 1 ]
^ Level 250 Name Index  con   len   c2   c3  > SL(2,Z/250Z) Matrix Generators
  250A20 300 1 150 4 0 [ 1, 125, 125, 126 ] , [ 25, 74, 201, 145 ] , [ 35, 228, 98, 217 ] , [ 81, 0, 220, 71 ] , [ 101, 200, 200, 151 ] , [ 151, 0, 100, 101 ] , [ 171, 140, 240, 81 ] , [ 249, 80, 170, 149 ]
^ Level 254 Name Index  con   len   c2   c3  > SL(2,Z/254Z) Matrix Generators
  254A20 256 1 128 0 4 [ 11, 238, 250, 29 ] , [ 23, 70, 208, 103 ] , [ 35, 14, 244, 221 ] , [ 43, 168, 42, 235 ] , [ 128, 127, 127, 1 ] , [ 253, 0, 0, 253 ]
^ Level 258 Name Index  con   len   c2   c3  > SL(2,Z/258Z) Matrix Generators
  258A20 264 1 88 0 6 [ 1, 86, 86, 173 ] , [ 87, 172, 86, 87 ] , [ 145, 252, 114, 175 ] , [ 151, 138, 216, 235 ] , [ 169, 84, 192, 13 ] , [ 173, 0, 0, 173 ] , [ 173, 129, 43, 44 ] , [ 223, 12, 150, 37 ]
  258B20 264 2 44 0 6 [ 1, 86, 86, 173 ] , [ 130, 129, 129, 1 ] , [ 157, 120, 210, 103 ] , [ 173, 0, 0, 173 ] , [ 173, 86, 86, 1 ] , [ 187, 174, 180, 133 ] , [ 255, 46, 98, 131 ] , [ 257, 215, 215, 214 ]
^ Level 259 Name Index  con   len   c2   c3  > SL(2,Z/259Z) Matrix Generators
  259A20 266 2 266 6 2 [ 8, 77, 0, 162 ] , [ 64, 140, 0, 85 ] , [ 75, 222, 111, 149 ] , [ 110, 74, 0, 73 ] , [ 120, 49, 0, 218 ] , [ 165, 50, 46, 94 ] , [ 168, 172, 250, 91 ] , [ 211, 140, 0, 232 ] , [ 223, 0, 0, 223 ] , [ 225, 147, 189, 36 ]
^ Level 261 Name Index  con   len   c2   c3  > SL(2,Z/261Z) Matrix Generators
  261A20 270 1 270 10 0 [ 10, 252, 9, 253 ] , [ 30, 116, 145, 117 ] , [ 52, 135, 159, 202 ] , [ 59, 87, 0, 146 ] , [ 64, 126, 189, 1 ] , [ 88, 174, 174, 175 ] , [ 88, 232, 232, 146 ] , [ 103, 90, 48, 232 ] , [ 175, 174, 0, 88 ]
^ Level 268 Name Index  con   len   c2   c3  > SL(2,Z/268Z) Matrix Generators
  268A20 272 1 68 0 8 [ 1, 134, 134, 1 ] , [ 65, 112, 244, 37 ] , [ 73, 76, 228, 197 ] , [ 133, 134, 0, 133 ] , [ 135, 0, 134, 135 ] , [ 135, 67, 201, 68 ] , [ 233, 260, 40, 101 ]
^ Level 273 Name Index  con   len   c2   c3  > SL(2,Z/273Z) Matrix Generators
  273A20 294 2 98 18 0 [ 40, 156, 78, 79 ] , [ 43, 231, 42, 232 ] , [ 92, 0, 0, 92 ] , [ 92, 182, 182, 1 ] , [ 107, 163, 259, 193 ] , [ 118, 0, 0, 118 ] , [ 118, 117, 78, 1 ] , [ 118, 195, 156, 1 ] , [ 183, 91, 182, 183 ] , [ 218, 175, 196, 106 ] , [ 220, 268, 49, 257 ] , [ 235, 117, 0, 79 ]
^ Level 286 Name Index  con   len   c2   c3  > SL(2,Z/286Z) Matrix Generators
  286A20 308 2 154 12 8 [ 1, 66, 11, 155 ] , [ 1, 143, 143, 144 ] , [ 67, 154, 176, 221 ] , [ 88, 285, 111, 67 ] , [ 111, 44, 220, 265 ] , [ 131, 0, 0, 131 ] , [ 155, 0, 0, 155 ] , [ 261, 283, 216, 3 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA