[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 22

Groups of Level: 18 19 20 22 25 26 27 29 30 32 33 34 35 36 38 40 42 44 45 48 50 54 55 56 58 60 63 64 66 70 72 74 75 76 78 80 81 84 88 90 92 93 94 96 98 100 105 108 109 111 112 114 117 126 132 140 143 144 150 162 168 176 180 182 184 188 189 192 198 210 216 231 242 243 250 253 258 262 263 265 266 268 269 270 271 277 278 291 338 361
 
 
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A22 486 1 81 6 0 [ 1, 14, 14, 17 ] , [ 10, 9, 9, 10 ] , [ 17, 0, 0, 17 ]
^ Level 19 Name Index  con   len   c2   c3  > SL(2,Z/19Z) Matrix Generators
  19A22 380 1 190 0 2 [ 5, 0, 16, 4 ] , [ 11, 0, 7, 7 ] , [ 18, 0, 0, 18 ]
^ Level 20 Name Index  con   len   c2   c3  > SL(2,Z/20Z) Matrix Generators
  20A22 360 1 5 0 0 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 0, 0, 11 ] , [ 17, 16, 0, 13 ]
  20B22 360 1 30 0 0 [ 3, 10, 8, 7 ] , [ 9, 0, 0, 9 ] , [ 13, 4, 10, 17 ] , [ 13, 10, 8, 17 ]
  20C22 360 1 45 0 0 [ 3, 10, 8, 7 ] , [ 9, 0, 0, 9 ] , [ 13, 4, 0, 17 ] , [ 13, 10, 8, 17 ]
^ Level 22 Name Index  con   len   c2   c3  > SL(2,Z/22Z) Matrix Generators
  22A22 396 1 198 0 0 [ 1, 0, 11, 1 ] , [ 7, 8, 20, 1 ] , [ 11, 20, 6, 7 ] , [ 21, 8, 9, 15 ]
  22B22 396 1 198 12 0 [ 9, 10, 0, 5 ] , [ 17, 20, 13, 5 ] , [ 21, 0, 0, 21 ]
^ Level 25 Name Index  con   len   c2   c3  > SL(2,Z/25Z) Matrix Generators
  25A22 375 1 375 11 0 [ 2, 10, 22, 23 ] , [ 6, 15, 5, 21 ] , [ 7, 11, 0, 18 ] , [ 14, 20, 15, 9 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A22 364 1 91 4 4 [ 1, 13, 13, 14 ] , [ 13, 14, 12, 25 ] , [ 23, 20, 19, 3 ] , [ 25, 0, 0, 25 ]
^ Level 27 Name Index  con   len   c2   c3  > SL(2,Z/27Z) Matrix Generators
  27A22 324 1 18 0 0 [ 4, 0, 12, 7 ] , [ 10, 0, 9, 19 ] , [ 10, 9, 0, 19 ] , [ 26, 0, 0, 26 ]
  27B22 324 2 9 0 0 [ 4, 15, 24, 16 ] , [ 19, 0, 0, 10 ] , [ 19, 9, 9, 10 ] , [ 26, 0, 0, 26 ]
  27C22 486 1 162 6 0 [ 1, 18, 0, 1 ] , [ 4, 1, 10, 23 ] , [ 10, 0, 9, 19 ] , [ 19, 0, 18, 10 ] , [ 26, 0, 0, 26 ]
^ Level 29 Name Index  con   len   c2   c3  > SL(2,Z/29Z) Matrix Generators
  29A22 Γ1(29) 420 1 30 0 0 [ 11, 16, 1, 20 ] , [ 23, 12, 8, 8 ] , [ 28, 0, 0, 28 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A22 360 1 20 0 0 [ 1, 20, 10, 21 ] , [ 1, 24, 12, 19 ] , [ 11, 10, 20, 21 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ]
  30B22 360 1 40 0 9 [ 1, 10, 10, 11 ] , [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 10, 20, 21 ] , [ 29, 13, 23, 0 ]
  30C22 360 1 180 0 0 [ 1, 20, 10, 21 ] , [ 1, 24, 27, 19 ] , [ 11, 10, 20, 21 ] , [ 13, 0, 21, 7 ] , [ 19, 0, 0, 19 ]
  30D22 360 2 40 0 9 [ 11, 0, 0, 11 ] , [ 13, 0, 6, 7 ] , [ 19, 0, 0, 19 ] , [ 19, 6, 18, 1 ] , [ 20, 13, 23, 9 ]
  30E22 360 2 60 12 0 [ 1, 15, 15, 16 ] , [ 7, 16, 10, 23 ] , [ 13, 20, 8, 17 ] , [ 19, 0, 15, 19 ] , [ 29, 0, 0, 29 ]
  30F22 360 2 120 0 9 [ 4, 9, 1, 25 ] , [ 11, 0, 0, 11 ] , [ 13, 4, 10, 17 ] , [ 17, 10, 22, 13 ] , [ 29, 0, 0, 29 ]
  30G22 360 2 180 4 0 [ 1, 0, 15, 1 ] , [ 17, 10, 22, 13 ] , [ 21, 28, 26, 9 ] , [ 25, 6, 14, 19 ] , [ 29, 0, 0, 29 ]
^ Level 32 Name Index  con   len   c2   c3  > SL(2,Z/32Z) Matrix Generators
  32A22 384 1 96 4 0 [ 1, 0, 16, 1 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 16, 5, 19, 0 ] , [ 25, 28, 20, 25 ] , [ 31, 16, 0, 31 ] , [ 31, 24, 8, 31 ]
  32B22 384 1 96 4 0 [ 1, 0, 16, 1 ] , [ 1, 8, 8, 1 ] , [ 1, 16, 16, 1 ] , [ 24, 27, 13, 16 ] , [ 25, 28, 20, 25 ] , [ 31, 16, 0, 31 ] , [ 31, 24, 8, 31 ]
^ Level 33 Name Index  con   len   c2   c3  > SL(2,Z/33Z) Matrix Generators
  33A22 330 1 55 6 0 [ 1, 22, 22, 23 ] , [ 10, 0, 0, 10 ] , [ 12, 8, 19, 21 ] , [ 12, 11, 22, 12 ] , [ 19, 24, 24, 13 ] , [ 23, 0, 0, 23 ]
  33B22 330 1 165 6 0 [ 10, 0, 0, 10 ] , [ 13, 27, 3, 19 ] , [ 19, 15, 3, 25 ] , [ 23, 0, 0, 23 ] , [ 23, 11, 11, 1 ] , [ 28, 18, 12, 16 ]
  33C22 396 1 198 24 0 [ 1, 22, 22, 23 ] , [ 13, 24, 21, 16 ] , [ 23, 0, 0, 23 ] , [ 30, 16, 20, 3 ] , [ 32, 0, 0, 32 ]
^ Level 34 Name Index  con   len   c2   c3  > SL(2,Z/34Z) Matrix Generators
  34A22 306 1 153 0 0 [ 1, 5, 29, 10 ] , [ 1, 17, 17, 18 ] , [ 3, 11, 13, 14 ] , [ 10, 21, 13, 7 ] , [ 18, 17, 17, 1 ] , [ 30, 7, 27, 29 ] , [ 33, 17, 17, 16 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A22 360 1 40 0 0 [ 6, 0, 0, 6 ] , [ 8, 7, 0, 22 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 5, 29 ] , [ 29, 21, 28, 1 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A22 324 1 54 0 0 [ 1, 0, 18, 1 ] , [ 1, 18, 9, 19 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ]
  36B22 324 1 81 0 0 [ 1, 0, 18, 1 ] , [ 9, 28, 8, 9 ] , [ 13, 28, 28, 5 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 16, 1 ]
  36C22 324 1 81 0 0 [ 1, 0, 18, 1 ] , [ 5, 20, 11, 1 ] , [ 5, 24, 24, 29 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 24, 13 ] , [ 31, 30, 21, 25 ]
  36D22 324 1 81 0 0 [ 1, 0, 18, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ] , [ 25, 24, 24, 13 ] , [ 33, 4, 11, 21 ]
  36E22 324 1 81 0 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 33, 2, 22, 21 ]
  36F22 324 1 81 0 0 [ 1, 0, 18, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ] , [ 25, 24, 24, 13 ] , [ 33, 20, 4, 21 ]
  36G22 324 1 162 6 0 [ 1, 12, 20, 25 ] , [ 1, 32, 32, 17 ] , [ 9, 8, 28, 9 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 0, 19 ] , [ 28, 27, 9, 28 ]
  36H22 324 2 27 0 0 [ 1, 0, 18, 1 ] , [ 13, 12, 12, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 31, 30, 21, 25 ]
  36I22 324 2 81 0 0 [ 1, 0, 18, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 24, 24, 13 ] , [ 29, 4, 19, 25 ] , [ 33, 20, 4, 21 ]
  36J22 324 2 81 0 0 [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 19, 0, 18, 19 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ] , [ 33, 2, 22, 21 ]
  36K22 432 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 18, 18, 1 ] , [ 25, 0, 0, 13 ] , [ 25, 0, 24, 13 ] , [ 35, 0, 0, 35 ]
  36L22 432 1 24 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 0, 25 ] , [ 13, 0, 12, 25 ] , [ 35, 0, 0, 35 ]
  36M22 432 1 24 0 18 [ 1, 0, 24, 1 ] , [ 1, 18, 18, 1 ] , [ 19, 0, 18, 19 ] , [ 19, 18, 0, 19 ] , [ 28, 21, 11, 7 ] , [ 35, 0, 0, 35 ]
  36N22 432 1 36 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 24, 16, 1 ] , [ 35, 0, 0, 35 ]
  36O22 432 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 12, 28, 25 ] , [ 35, 0, 0, 35 ]
  36P22 432 1 72 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 24, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 12, 20, 25 ] , [ 35, 0, 0, 35 ]
  36Q22 432 1 72 0 0 [ 1, 0, 12, 1 ] , [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 25, 24, 32, 25 ] , [ 35, 0, 0, 35 ]
^ Level 38 Name Index  con   len   c2   c3  > SL(2,Z/38Z) Matrix Generators
  38A22 342 2 171 12 0 [ 3, 10, 37, 35 ] , [ 11, 22, 12, 31 ] , [ 20, 19, 19, 1 ] , [ 31, 4, 35, 7 ] , [ 37, 0, 0, 37 ]
  38B22 360 1 20 0 0 [ 20, 19, 19, 1 ] , [ 33, 16, 12, 7 ] , [ 37, 0, 0, 37 ]
  38C22 360 1 20 0 0 [ 1, 6, 22, 19 ] , [ 5, 2, 30, 35 ] , [ 19, 6, 22, 37 ]
  38D22 380 1 190 20 2 [ 1, 18, 21, 37 ] , [ 5, 34, 22, 13 ] , [ 13, 18, 34, 15 ] , [ 20, 19, 19, 1 ] , [ 37, 0, 0, 37 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A22 360 1 15 0 0 [ 7, 0, 8, 23 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 9, 20, 0, 9 ] , [ 21, 20, 0, 21 ] , [ 33, 0, 32, 17 ] , [ 33, 6, 0, 17 ]
  40B22 360 1 30 12 0 [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 21, 20, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 33, 24, 0, 17 ] , [ 36, 15, 25, 36 ]
  40C22 360 1 45 0 0 [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 9, 20, 0, 9 ] , [ 9, 38, 16, 1 ] , [ 13, 26, 20, 37 ] , [ 31, 2, 24, 39 ] , [ 33, 6, 20, 17 ]
  40D22 360 1 60 0 0 [ 1, 30, 10, 21 ] , [ 1, 32, 24, 9 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 0, 8, 33 ] , [ 21, 20, 20, 21 ]
  40E22 360 1 60 0 0 [ 1, 0, 20, 1 ] , [ 7, 0, 8, 23 ] , [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 9, 20, 0, 9 ] , [ 13, 26, 20, 37 ] , [ 33, 0, 32, 17 ]
  40F22 360 1 60 6 0 [ 1, 8, 16, 9 ] , [ 1, 20, 0, 1 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 31, 20, 20, 31 ] , [ 33, 24, 0, 17 ] , [ 36, 35, 5, 16 ]
  40G22 360 1 60 12 0 [ 9, 0, 0, 9 ] , [ 9, 8, 16, 1 ] , [ 16, 5, 35, 16 ] , [ 17, 24, 0, 33 ] , [ 21, 20, 20, 21 ] , [ 29, 30, 30, 9 ] , [ 31, 0, 0, 31 ]
  40H22 360 1 90 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 19, 30, 10, 39 ] , [ 21, 20, 20, 21 ] , [ 26, 7, 9, 24 ] , [ 38, 31, 25, 32 ]
  40I22 360 1 90 0 0 [ 1, 10, 30, 21 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 8, 33 ] , [ 19, 30, 10, 39 ] , [ 21, 20, 20, 21 ] , [ 38, 31, 25, 32 ]
  40J22 360 1 90 12 0 [ 3, 6, 30, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 22, 14, 39 ] , [ 16, 5, 35, 16 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 31, 20, 20, 31 ]
  40K22 360 1 180 0 0 [ 1, 12, 4, 9 ] , [ 1, 30, 10, 21 ] , [ 6, 15, 25, 36 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 20, 28, 33 ] , [ 21, 20, 20, 21 ]
  40L22 360 1 180 0 0 [ 1, 0, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 9, 20, 0, 9 ] , [ 9, 38, 16, 1 ] , [ 13, 26, 20, 37 ] , [ 17, 30, 8, 33 ] , [ 23, 16, 0, 7 ]
  40M22 360 1 180 6 0 [ 1, 20, 0, 1 ] , [ 1, 20, 20, 1 ] , [ 8, 39, 25, 12 ] , [ 9, 0, 0, 9 ] , [ 16, 23, 1, 4 ] , [ 31, 20, 20, 31 ] , [ 36, 35, 5, 16 ]
  40N22 360 1 180 12 0 [ 3, 6, 30, 7 ] , [ 9, 0, 0, 9 ] , [ 11, 22, 14, 39 ] , [ 16, 5, 35, 16 ] , [ 21, 20, 20, 21 ] , [ 29, 30, 30, 9 ] , [ 31, 0, 0, 31 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A22 378 1 63 24 0 [ 13, 0, 0, 13 ] , [ 15, 28, 14, 15 ] , [ 19, 30, 18, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 35, 2, 17, 7 ] , [ 37, 6, 12, 19 ]
  42B22 378 1 189 18 0 [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 21, 16, 38, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 35, 16, 10, 7 ] , [ 37, 6, 12, 19 ]
  42C22 378 2 21 18 0 [ 13, 0, 0, 13 ] , [ 13, 24, 18, 1 ] , [ 15, 28, 14, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 35, 1 ] , [ 29, 28, 28, 1 ] , [ 37, 6, 12, 19 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A22 330 1 165 6 0 [ 5, 24, 20, 17 ] , [ 13, 8, 28, 41 ] , [ 19, 28, 8, 35 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 0, 23 ] , [ 23, 0, 22, 23 ] , [ 23, 22, 11, 1 ] , [ 25, 20, 16, 41 ] , [ 41, 6, 41, 35 ] , [ 43, 0, 0, 43 ]
  44B22 330 2 165 6 0 [ 1, 0, 22, 1 ] , [ 13, 20, 20, 41 ] , [ 19, 32, 43, 3 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 33, 32, 12, 33 ] , [ 37, 2, 30, 29 ] , [ 41, 10, 32, 25 ] , [ 41, 24, 24, 13 ]
  44C22 396 1 198 12 0 [ 1, 0, 22, 1 ] , [ 9, 32, 0, 5 ] , [ 21, 0, 0, 21 ] , [ 23, 0, 22, 23 ] , [ 31, 32, 22, 27 ] , [ 39, 42, 2, 27 ] , [ 39, 42, 13, 5 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A22 324 1 162 0 0 [ 1, 18, 0, 1 ] , [ 6, 35, 25, 11 ] , [ 24, 35, 25, 29 ] , [ 26, 0, 0, 26 ] , [ 36, 10, 35, 36 ] , [ 41, 10, 10, 31 ]
  45B22 324 1 162 0 0 [ 4, 15, 15, 34 ] , [ 16, 30, 30, 31 ] , [ 26, 40, 40, 1 ] , [ 28, 9, 9, 19 ] , [ 41, 30, 30, 11 ] , [ 41, 35, 35, 31 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A22 288 1 4 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 37, 0, 12, 13 ] , [ 37, 36, 24, 13 ] , [ 47, 0, 0, 47 ]
  48B22 288 1 12 0 0 [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 21, 16, 20, 45 ] , [ 25, 0, 24, 25 ] , [ 37, 0, 12, 13 ] , [ 37, 32, 20, 29 ] , [ 37, 36, 24, 13 ] , [ 47, 0, 0, 47 ]
  48C22 288 1 24 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 24, 1, 47, 36 ] , [ 25, 36, 36, 25 ] , [ 47, 12, 36, 47 ] , [ 47, 24, 24, 47 ]
  48D22 288 1 72 0 0 [ 1, 24, 24, 1 ] , [ 1, 32, 32, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 32, 1 ] , [ 24, 1, 47, 36 ] , [ 25, 36, 36, 25 ] , [ 47, 12, 36, 47 ] , [ 47, 24, 24, 47 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A22 300 1 30 0 0 [ 9, 0, 20, 39 ] , [ 19, 8, 18, 5 ] , [ 21, 20, 20, 31 ] , [ 26, 25, 25, 26 ] , [ 41, 0, 30, 11 ]
  50B22 300 1 150 4 0 [ 21, 0, 40, 31 ] , [ 26, 25, 25, 1 ] , [ 29, 0, 10, 19 ] , [ 31, 20, 40, 21 ] , [ 38, 35, 1, 22 ]
  50C22 300 1 150 4 0 [ 9, 0, 20, 39 ] , [ 19, 8, 18, 5 ] , [ 21, 20, 20, 31 ] , [ 41, 0, 30, 11 ] , [ 42, 5, 39, 38 ]
  50D22 450 1 45 10 0 [ 1, 0, 25, 1 ] , [ 7, 34, 0, 43 ] , [ 11, 20, 40, 41 ] , [ 31, 0, 20, 21 ] , [ 49, 0, 0, 49 ]
  50E22 450 1 90 10 0 [ 1, 0, 25, 1 ] , [ 11, 30, 30, 41 ] , [ 21, 24, 42, 29 ] , [ 23, 26, 16, 29 ] , [ 49, 0, 0, 49 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 19, 0, 18, 37 ] , [ 31, 0, 18, 7 ] , [ 31, 18, 48, 7 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ]
  54B22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 12, 2, 25 ] , [ 1, 30, 44, 25 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 36, 37 ] , [ 53, 0, 0, 53 ]
  54C22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 35, 0, 36, 17 ] , [ 37, 0, 0, 19 ] , [ 37, 18, 42, 19 ] , [ 49, 12, 38, 49 ]
  54D22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 42, 22, 43 ] , [ 37, 18, 42, 19 ] , [ 53, 0, 0, 53 ]
  54E22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 18, 19 ] , [ 49, 36, 48, 43 ] , [ 53, 0, 0, 53 ]
  54F22 324 1 108 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 12, 2, 25 ] , [ 7, 24, 4, 37 ] , [ 19, 0, 18, 37 ] , [ 53, 0, 0, 53 ]
  54G22 324 1 108 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 36, 48, 1 ] , [ 19, 0, 18, 37 ] , [ 25, 6, 14, 25 ] , [ 53, 0, 0, 53 ]
  54H22 324 1 162 0 0 [ 1, 0, 18, 1 ] , [ 5, 30, 30, 29 ] , [ 13, 6, 42, 7 ] , [ 19, 36, 0, 37 ] , [ 46, 9, 45, 37 ] , [ 47, 28, 10, 37 ]
  54I22 324 1 162 0 0 [ 7, 36, 36, 31 ] , [ 19, 0, 0, 37 ] , [ 22, 9, 27, 43 ] , [ 27, 10, 8, 27 ] , [ 49, 36, 0, 43 ] , [ 53, 0, 0, 53 ]
  54J22 324 2 81 12 0 [ 1, 27, 27, 28 ] , [ 27, 28, 53, 27 ] , [ 29, 24, 24, 5 ] , [ 31, 42, 42, 43 ] , [ 37, 0, 36, 19 ] , [ 37, 18, 18, 19 ]
  54K22 324 2 162 12 0 [ 0, 1, 53, 0 ] , [ 16, 39, 39, 31 ] , [ 19, 36, 36, 37 ] , [ 28, 45, 45, 1 ] , [ 37, 36, 0, 19 ] , [ 53, 0, 0, 53 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A22 330 1 330 6 0 [ 1, 44, 0, 1 ] , [ 12, 44, 0, 23 ] , [ 19, 20, 5, 14 ] , [ 19, 50, 35, 14 ] , [ 28, 41, 25, 17 ] , [ 34, 0, 0, 34 ] , [ 54, 0, 0, 54 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A22 336 1 84 16 0 [ 1, 28, 28, 1 ] , [ 1, 35, 7, 22 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 39, 11, 22, 45 ] , [ 41, 0, 0, 41 ] , [ 55, 0, 0, 55 ] , [ 55, 3, 18, 1 ]
  56B22 336 1 84 16 0 [ 1, 7, 35, 22 ] , [ 1, 28, 28, 1 ] , [ 15, 0, 0, 15 ] , [ 29, 28, 0, 29 ] , [ 31, 31, 6, 53 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 55, 23, 34, 1 ]
  56C22 336 2 84 8 0 [ 1, 0, 28, 1 ] , [ 9, 0, 32, 25 ] , [ 9, 48, 40, 33 ] , [ 23, 3, 22, 37 ] , [ 29, 28, 0, 29 ] , [ 35, 12, 32, 35 ] , [ 41, 0, 0, 41 ] , [ 49, 40, 32, 49 ]
  56D22 336 2 84 12 0 [ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 17, 24, 48, 25 ] , [ 37, 52, 8, 37 ] , [ 41, 0, 0, 41 ]
  56E22 336 2 84 12 0 [ 1, 28, 0, 1 ] , [ 9, 0, 32, 25 ] , [ 9, 24, 8, 9 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 7, 42, 1 ] , [ 17, 24, 48, 25 ] , [ 41, 0, 0, 41 ]
  56F22 336 2 84 12 0 [ 1, 28, 0, 1 ] , [ 9, 16, 0, 25 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 15, 2, 4, 23 ] , [ 29, 35, 42, 43 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ]
  56G22 336 2 84 12 0 [ 1, 7, 42, 15 ] , [ 1, 28, 0, 1 ] , [ 9, 16, 0, 25 ] , [ 9, 48, 40, 33 ] , [ 15, 0, 0, 15 ] , [ 41, 0, 0, 41 ] , [ 43, 2, 4, 51 ] , [ 49, 16, 24, 49 ]
  56H22 336 2 84 16 0 [ 1, 16, 32, 9 ] , [ 1, 28, 28, 1 ] , [ 1, 35, 7, 22 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 39, 11, 22, 45 ] , [ 41, 0, 0, 41 ] , [ 55, 0, 0, 55 ]
  56I22 336 2 168 8 6 [ 11, 32, 50, 3 ] , [ 13, 0, 0, 13 ] , [ 17, 24, 34, 25 ] , [ 23, 34, 40, 47 ] , [ 41, 0, 28, 41 ] , [ 41, 28, 0, 41 ] , [ 41, 33, 24, 33 ] , [ 55, 53, 19, 0 ]
  56J22 336 2 168 8 6 [ 1, 9, 32, 9 ] , [ 11, 32, 50, 3 ] , [ 13, 0, 0, 13 ] , [ 17, 24, 34, 25 ] , [ 23, 34, 40, 47 ] , [ 41, 0, 28, 41 ] , [ 41, 28, 0, 41 ] , [ 55, 53, 19, 0 ]
  56K22 336 2 168 8 6 [ 1, 28, 28, 1 ] , [ 19, 36, 16, 51 ] , [ 25, 32, 8, 17 ] , [ 29, 9, 18, 23 ] , [ 29, 28, 0, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 46, 21, 17, 9 ]
  56L22 336 2 168 8 6 [ 1, 28, 28, 1 ] , [ 14, 1, 13, 41 ] , [ 25, 32, 8, 17 ] , [ 29, 28, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 39, 10, 13 ] , [ 49, 16, 24, 49 ] , [ 55, 0, 0, 55 ]
^ Level 58 Name Index  con   len   c2   c3  > SL(2,Z/58Z) Matrix Generators
  58A22 420 1 30 28 0 [ 1, 29, 29, 30 ] , [ 51, 47, 52, 7 ] , [ 57, 0, 0, 57 ] , [ 57, 8, 14, 3 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A22 360 1 60 0 0 [ 1, 0, 30, 1 ] , [ 1, 20, 55, 21 ] , [ 1, 24, 12, 49 ] , [ 13, 0, 6, 37 ] , [ 31, 0, 30, 31 ] , [ 41, 40, 5, 21 ] , [ 41, 40, 20, 21 ] , [ 49, 0, 0, 49 ]
  60B22 360 1 60 24 0 [ 1, 40, 40, 41 ] , [ 13, 0, 48, 37 ] , [ 31, 0, 0, 31 ] , [ 36, 55, 5, 36 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
  60C22 360 1 60 24 0 [ 1, 20, 20, 41 ] , [ 1, 40, 40, 41 ] , [ 8, 35, 53, 52 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 15, 1 ] , [ 49, 0, 0, 49 ] , [ 49, 12, 24, 1 ]
  60D22 360 1 180 0 0 [ 1, 0, 30, 1 ] , [ 1, 14, 52, 9 ] , [ 1, 20, 55, 21 ] , [ 13, 50, 46, 57 ] , [ 31, 0, 30, 31 ] , [ 41, 40, 5, 21 ] , [ 41, 40, 20, 21 ] , [ 49, 0, 0, 49 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A22 378 1 63 30 0 [ 1, 21, 42, 1 ] , [ 8, 42, 21, 8 ] , [ 22, 0, 42, 43 ] , [ 28, 18, 54, 28 ] , [ 28, 45, 9, 28 ] , [ 34, 0, 21, 13 ] , [ 37, 9, 36, 19 ] , [ 37, 27, 18, 37 ] , [ 50, 49, 7, 22 ] , [ 55, 0, 0, 55 ]
  63B22 378 2 63 30 0 [ 1, 21, 42, 1 ] , [ 8, 42, 21, 8 ] , [ 10, 27, 45, 46 ] , [ 22, 0, 42, 43 ] , [ 28, 18, 54, 28 ] , [ 28, 45, 9, 28 ] , [ 34, 0, 21, 13 ] , [ 50, 35, 35, 22 ] , [ 50, 49, 7, 22 ] , [ 55, 0, 0, 55 ]
^ Level 64 Name Index  con   len   c2   c3  > SL(2,Z/64Z) Matrix Generators
  64A22 384 1 96 4 0 [ 1, 48, 16, 1 ] , [ 1, 56, 8, 1 ] , [ 9, 60, 4, 41 ] , [ 17, 0, 0, 49 ] , [ 20, 21, 19, 4 ] , [ 25, 8, 56, 41 ] , [ 31, 24, 40, 31 ] , [ 33, 0, 0, 33 ] , [ 33, 8, 56, 33 ] , [ 33, 32, 32, 33 ] , [ 36, 45, 43, 20 ]
  64B22 384 1 96 4 0 [ 1, 48, 16, 1 ] , [ 1, 56, 8, 1 ] , [ 17, 0, 0, 49 ] , [ 24, 5, 51, 40 ] , [ 25, 8, 56, 41 ] , [ 31, 24, 40, 31 ] , [ 33, 0, 0, 33 ] , [ 33, 8, 56, 33 ] , [ 33, 32, 32, 33 ] , [ 36, 45, 43, 52 ] , [ 52, 21, 19, 4 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A22 330 1 55 0 12 [ 1, 33, 33, 34 ] , [ 1, 44, 44, 23 ] , [ 19, 18, 30, 25 ] , [ 19, 54, 62, 13 ] , [ 21, 13, 5, 44 ] , [ 23, 0, 0, 23 ] , [ 25, 54, 54, 19 ] , [ 43, 0, 0, 43 ] , [ 45, 44, 22, 45 ] , [ 61, 4, 10, 5 ]
  66B22 330 1 55 0 12 [ 19, 7, 19, 14 ] , [ 19, 18, 30, 25 ] , [ 31, 32, 40, 3 ] , [ 34, 33, 33, 1 ] , [ 41, 1, 1, 58 ] , [ 42, 65, 7, 25 ] , [ 43, 0, 0, 43 ] , [ 49, 60, 40, 49 ] , [ 61, 48, 54, 49 ] , [ 64, 27, 47, 25 ] , [ 65, 0, 0, 65 ]
  66C22 330 1 110 0 12 [ 19, 18, 30, 25 ] , [ 19, 54, 18, 13 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 22, 1 ] , [ 25, 54, 54, 19 ] , [ 35, 6, 30, 41 ] , [ 41, 62, 8, 25 ] , [ 43, 0, 0, 43 ] , [ 43, 57, 5, 22 ] , [ 45, 22, 44, 45 ] , [ 65, 0, 0, 65 ]
  66D22 330 1 165 16 0 [ 1, 22, 55, 23 ] , [ 1, 33, 33, 34 ] , [ 1, 44, 44, 23 ] , [ 13, 24, 24, 19 ] , [ 23, 0, 0, 23 ] , [ 24, 35, 13, 30 ] , [ 25, 18, 18, 13 ] , [ 30, 31, 53, 24 ] , [ 31, 46, 58, 35 ] , [ 43, 0, 0, 43 ] , [ 47, 46, 46, 31 ]
  66E22 396 1 66 36 0 [ 1, 33, 33, 34 ] , [ 5, 24, 54, 35 ] , [ 11, 36, 51, 11 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 22, 1 ] , [ 23, 44, 44, 1 ] , [ 34, 33, 33, 1 ] , [ 43, 0, 0, 43 ] , [ 49, 24, 54, 13 ]
^ Level 70 Name Index  con   len   c2   c3  > SL(2,Z/70Z) Matrix Generators
  70A22 315 2 105 9 0 [ 1, 0, 35, 1 ] , [ 1, 14, 42, 29 ] , [ 9, 16, 8, 61 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 51, 60, 0, 11 ] , [ 61, 30, 50, 51 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A22 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 7, 36, 36, 31 ] , [ 19, 0, 36, 19 ] , [ 19, 54, 45, 37 ] , [ 25, 0, 0, 49 ] , [ 35, 68, 48, 11 ] , [ 37, 0, 36, 37 ] , [ 49, 8, 48, 49 ] , [ 55, 54, 45, 1 ] , [ 61, 60, 0, 13 ]
  72B22 288 1 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 1, 54, 27, 19 ] , [ 1, 66, 63, 55 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 0, 49 ] , [ 25, 64, 48, 25 ] , [ 37, 0, 36, 37 ] , [ 37, 18, 63, 19 ] , [ 53, 26, 15, 59 ] , [ 71, 54, 9, 17 ]
  72C22 288 2 16 0 0 [ 1, 9, 45, 46 ] , [ 1, 36, 36, 1 ] , [ 7, 30, 45, 49 ] , [ 17, 48, 0, 17 ] , [ 19, 54, 45, 37 ] , [ 23, 54, 45, 65 ] , [ 25, 24, 0, 49 ] , [ 31, 24, 0, 7 ] , [ 37, 0, 36, 37 ] , [ 49, 0, 0, 25 ]
  72D22 288 2 48 0 0 [ 1, 24, 0, 1 ] , [ 1, 36, 36, 1 ] , [ 5, 20, 24, 53 ] , [ 5, 56, 60, 53 ] , [ 17, 16, 48, 41 ] , [ 19, 36, 0, 19 ] , [ 37, 36, 0, 37 ] , [ 37, 45, 45, 10 ] , [ 41, 2, 51, 71 ] , [ 49, 40, 48, 1 ] , [ 53, 52, 48, 5 ]
  72E22 324 1 81 12 0 [ 1, 24, 16, 25 ] , [ 9, 8, 64, 9 ] , [ 17, 0, 0, 17 ] , [ 28, 63, 9, 28 ] , [ 37, 0, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 37, 60, 52, 61 ] , [ 46, 9, 27, 10 ] , [ 46, 45, 63, 10 ] , [ 49, 8, 8, 41 ] , [ 55, 36, 36, 55 ] , [ 58, 53, 71, 14 ]
  72F22 324 1 162 0 0 [ 1, 36, 36, 1 ] , [ 9, 8, 64, 9 ] , [ 9, 64, 8, 9 ] , [ 13, 44, 44, 5 ] , [ 17, 0, 0, 17 ] , [ 17, 32, 32, 1 ] , [ 28, 27, 45, 46 ] , [ 37, 24, 16, 61 ] , [ 37, 36, 36, 37 ] , [ 55, 0, 0, 55 ] , [ 55, 18, 54, 19 ] , [ 65, 56, 64, 33 ]
  72G22 324 1 162 0 0 [ 1, 27, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 56, 32, 65 ] , [ 9, 56, 40, 9 ] , [ 17, 34, 40, 25 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 47, 51, 24, 23 ] , [ 49, 24, 24, 25 ] , [ 55, 0, 0, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 34, 40, 1 ]
  72H22 324 1 162 0 0 [ 1, 36, 0, 1 ] , [ 1, 56, 32, 65 ] , [ 9, 56, 4, 9 ] , [ 17, 34, 40, 25 ] , [ 27, 29, 4, 63 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 47, 51, 24, 23 ] , [ 49, 24, 24, 25 ] , [ 63, 56, 4, 63 ] , [ 65, 24, 24, 41 ] , [ 65, 34, 40, 1 ]
  72I22 324 1 162 6 0 [ 1, 24, 16, 25 ] , [ 9, 8, 64, 9 ] , [ 10, 9, 27, 10 ] , [ 17, 0, 0, 17 ] , [ 37, 0, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 37, 60, 52, 61 ] , [ 40, 71, 17, 32 ] , [ 46, 45, 63, 46 ] , [ 49, 8, 8, 41 ] , [ 55, 36, 36, 55 ] , [ 55, 54, 18, 19 ]
  72J22 324 2 81 12 0 [ 1, 16, 28, 17 ] , [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 1, 54, 36, 1 ] , [ 1, 70, 64, 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 ]
  72K22 324 2 162 0 0 [ 1, 36, 0, 1 ] , [ 1, 40, 40, 17 ] , [ 1, 56, 68, 65 ] , [ 11, 43, 4, 55 ] , [ 19, 29, 68, 47 ] , [ 35, 43, 4, 7 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 47, 51, 24, 23 ] , [ 49, 24, 24, 25 ] , [ 55, 56, 68, 47 ] , [ 65, 24, 24, 41 ]
  72L22 432 1 12 0 0 [ 1, 36, 36, 1 ] , [ 17, 42, 54, 53 ] , [ 20, 45, 27, 50 ] , [ 37, 36, 36, 37 ] , [ 43, 54, 18, 31 ] , [ 43, 60, 0, 67 ] , [ 49, 0, 0, 25 ] , [ 49, 24, 0, 25 ] , [ 49, 48, 0, 25 ] , [ 53, 60, 0, 53 ] , [ 65, 0, 36, 41 ]
  72M22 432 1 36 0 0 [ 1, 36, 36, 1 ] , [ 1, 48, 0, 1 ] , [ 1, 52, 60, 25 ] , [ 1, 54, 54, 37 ] , [ 17, 48, 36, 17 ] , [ 19, 54, 18, 55 ] , [ 25, 56, 48, 1 ] , [ 37, 4, 60, 61 ] , [ 37, 36, 36, 37 ] , [ 46, 63, 9, 28 ] , [ 53, 12, 0, 53 ]
  72N22 432 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 64, 48, 49 ] , [ 5, 28, 66, 53 ] , [ 19, 36, 54, 19 ] , [ 19, 36, 63, 55 ] , [ 37, 0, 36, 37 ] , [ 53, 60, 36, 53 ] , [ 71, 48, 36, 71 ]
^ Level 74 Name Index  con   len   c2   c3  > SL(2,Z/74Z) Matrix Generators
  74A22 342 1 114 6 0 [ 1, 0, 37, 1 ] , [ 7, 16, 52, 45 ] , [ 29, 18, 40, 7 ] , [ 67, 18, 40, 45 ] , [ 67, 26, 26, 9 ]
^ Level 75 Name Index  con   len   c2   c3  > SL(2,Z/75Z) Matrix Generators
  75A22 300 1 150 8 0 [ 1, 25, 25, 26 ] , [ 16, 0, 30, 61 ] , [ 26, 0, 0, 26 ] , [ 26, 50, 50, 1 ] , [ 29, 0, 60, 44 ] , [ 33, 40, 56, 27 ] , [ 61, 30, 15, 16 ] , [ 70, 72, 57, 4 ]
^ Level 76 Name Index  con   len   c2   c3  > SL(2,Z/76Z) Matrix Generators
  76A22 360 1 60 0 0 [ 1, 0, 19, 1 ] , [ 1, 0, 38, 1 ] , [ 1, 44, 60, 57 ] , [ 5, 40, 68, 73 ] , [ 39, 0, 38, 39 ] , [ 57, 44, 60, 37 ]
^ Level 78 Name Index  con   len   c2   c3  > SL(2,Z/78Z) Matrix Generators
  78A22 378 1 42 18 0 [ 1, 0, 39, 1 ] , [ 1, 26, 26, 53 ] , [ 1, 52, 52, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 60, 49 ] , [ 73, 18, 24, 7 ]
^ Level 80 Name Index  con   len   c2   c3  > SL(2,Z/80Z) Matrix Generators
  80A22 320 2 160 4 8 [ 17, 48, 16, 17 ] , [ 21, 45, 5, 26 ] , [ 32, 25, 7, 48 ] , [ 33, 64, 0, 17 ] , [ 41, 0, 40, 41 ] , [ 41, 40, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 32, 64, 1 ] , [ 79, 40, 40, 79 ]
  80B22 360 1 15 24 0 [ 1, 40, 40, 1 ] , [ 16, 5, 35, 16 ] , [ 17, 64, 0, 33 ] , [ 19, 70, 70, 39 ] , [ 21, 60, 60, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 71, 60, 60, 71 ]
  80C22 360 1 30 0 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 11, 70, 10, 71 ] , [ 17, 0, 48, 33 ] , [ 21, 60, 20, 61 ] , [ 26, 55, 25, 56 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 49, 0, 0, 49 ]
  80D22 360 1 60 0 0 [ 1, 32, 64, 49 ] , [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 17, 0, 48, 33 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 30, 21 ] , [ 49, 0, 0, 49 ]
  80E22 360 1 60 6 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 17, 0, 48, 33 ] , [ 17, 64, 0, 33 ] , [ 21, 40, 40, 61 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ]
  80F22 360 1 90 0 0 [ 1, 40, 40, 1 ] , [ 6, 7, 49, 4 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 20, 20, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 70, 21 ] , [ 41, 52, 44, 9 ] , [ 49, 0, 0, 49 ] , [ 57, 20, 28, 73 ]
  80G22 360 1 180 0 0 [ 1, 40, 40, 1 ] , [ 6, 55, 65, 36 ] , [ 11, 70, 10, 71 ] , [ 21, 60, 20, 61 ] , [ 41, 2, 54, 69 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 41, 50, 30, 21 ] , [ 49, 0, 0, 49 ] , [ 57, 50, 38, 53 ]
  80H22 360 1 180 6 0 [ 1, 40, 40, 1 ] , [ 6, 55, 45, 66 ] , [ 21, 40, 40, 61 ] , [ 22, 39, 45, 58 ] , [ 22, 55, 13, 58 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 20, 21 ] , [ 71, 30, 50, 11 ]
^ Level 81 Name Index  con   len   c2   c3  > SL(2,Z/81Z) Matrix Generators
  81A22 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 54, 1 ] , [ 10, 0, 63, 73 ] , [ 13, 0, 12, 25 ] , [ 28, 0, 27, 55 ] , [ 31, 54, 54, 34 ] , [ 80, 0, 0, 80 ]
  81B22 324 1 36 0 0 [ 1, 0, 27, 1 ] , [ 1, 0, 63, 1 ] , [ 28, 0, 27, 55 ] , [ 28, 54, 15, 55 ] , [ 44, 0, 0, 35 ] , [ 64, 0, 36, 19 ] , [ 64, 36, 70, 28 ]
  81C22 324 1 36 0 9 [ 1, 0, 54, 1 ] , [ 28, 54, 18, 55 ] , [ 34, 33, 67, 46 ] , [ 55, 0, 0, 28 ] , [ 73, 0, 36, 10 ] , [ 73, 39, 20, 34 ] , [ 80, 0, 0, 80 ]
  81D22 324 2 36 0 0 [ 1, 0, 27, 1 ] , [ 1, 0, 63, 1 ] , [ 28, 0, 0, 55 ] , [ 44, 0, 0, 35 ] , [ 49, 72, 50, 52 ] , [ 64, 0, 0, 19 ] , [ 73, 27, 30, 10 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A22 288 1 8 0 0 [ 13, 60, 48, 73 ] , [ 19, 48, 30, 67 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 60, 49 ] , [ 41, 42, 0, 41 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 37 ] , [ 53, 8, 68, 61 ] , [ 61, 12, 12, 1 ] , [ 61, 20, 44, 53 ] , [ 61, 48, 72, 25 ]
  84B22 288 1 8 0 0 [ 1, 42, 42, 1 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 56, 1 ] , [ 43, 42, 0, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 48, 72, 25 ] , [ 73, 48, 30, 37 ]
  84C22 288 1 16 0 0 [ 1, 42, 42, 1 ] , [ 1, 56, 56, 29 ] , [ 1, 77, 21, 22 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 37, 36, 54, 73 ] , [ 43, 42, 0, 43 ] , [ 57, 28, 56, 57 ]
  84D22 288 1 16 0 0 [ 1, 28, 28, 29 ] , [ 1, 42, 42, 1 ] , [ 13, 45, 9, 70 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 41, 28, 70, 13 ] , [ 43, 0, 42, 43 ] , [ 73, 24, 36, 13 ]
  84E22 288 1 24 0 0 [ 1, 42, 42, 1 ] , [ 17, 20, 44, 37 ] , [ 22, 63, 63, 1 ] , [ 29, 0, 0, 29 ] , [ 43, 42, 0, 43 ] , [ 45, 20, 16, 9 ] , [ 61, 48, 72, 25 ] , [ 73, 48, 30, 37 ]
  84F22 288 1 24 0 0 [ 5, 62, 44, 25 ] , [ 13, 60, 48, 73 ] , [ 19, 48, 30, 67 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 37, 12, 60, 49 ] , [ 43, 42, 0, 43 ] , [ 49, 72, 24, 37 ] , [ 53, 22, 40, 61 ] , [ 61, 12, 12, 1 ] , [ 61, 48, 72, 25 ] , [ 73, 20, 44, 65 ]
  84G22 288 1 32 0 0 [ 1, 28, 28, 29 ] , [ 1, 42, 21, 43 ] , [ 1, 56, 56, 29 ] , [ 25, 36, 12, 61 ] , [ 29, 0, 0, 29 ] , [ 29, 63, 63, 50 ] , [ 43, 0, 0, 43 ] , [ 73, 48, 72, 37 ]
  84H22 288 1 48 0 0 [ 1, 28, 70, 29 ] , [ 1, 42, 42, 1 ] , [ 13, 45, 9, 70 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 70, 1 ] , [ 41, 28, 28, 13 ] , [ 43, 0, 42, 43 ] , [ 73, 24, 36, 13 ]
  84I22 288 1 48 0 0 [ 1, 28, 28, 29 ] , [ 1, 56, 56, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 72, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 77, 43 ] , [ 71, 0, 0, 71 ] , [ 73, 24, 36, 13 ]
  84J22 288 1 144 0 0 [ 1, 21, 42, 43 ] , [ 1, 77, 14, 71 ] , [ 29, 0, 0, 29 ] , [ 49, 12, 60, 61 ] , [ 49, 60, 12, 13 ] , [ 57, 7, 14, 15 ] , [ 61, 48, 72, 25 ] , [ 71, 0, 0, 71 ]
  84K22 288 2 8 0 0 [ 5, 76, 16, 25 ] , [ 9, 16, 2, 41 ] , [ 9, 58, 44, 41 ] , [ 29, 0, 0, 29 ] , [ 29, 44, 16, 33 ] , [ 33, 20, 16, 81 ] , [ 51, 58, 2, 83 ] , [ 73, 24, 36, 13 ]
  84L22 288 2 48 0 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 24, 44, 49 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 43, 0, 0, 43 ] , [ 43, 70, 7, 29 ] , [ 61, 48, 72, 25 ]
  84M22 378 1 63 24 0 [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 49, 30, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 56, 35, 43 ]
  84N22 378 1 63 30 0 [ 13, 0, 0, 13 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 48, 12, 61 ] , [ 43, 0, 42, 43 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ]
^ Level 88 Name Index  con   len   c2   c3  > SL(2,Z/88Z) Matrix Generators
  88A22 288 1 144 0 0 [ 1, 22, 77, 23 ] , [ 17, 16, 72, 73 ] , [ 23, 0, 0, 23 ] , [ 25, 40, 16, 1 ] , [ 45, 0, 44, 45 ] , [ 45, 44, 0, 45 ] , [ 73, 80, 40, 33 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A22 270 1 45 0 0 [ 1, 45, 45, 46 ] , [ 13, 69, 15, 52 ] , [ 31, 0, 30, 61 ] , [ 41, 30, 30, 11 ] , [ 51, 70, 50, 21 ] , [ 61, 30, 30, 31 ] , [ 64, 45, 45, 19 ] , [ 71, 50, 50, 1 ] , [ 76, 3, 81, 79 ]
  90B22 270 1 45 0 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, 50, 50, 41 ] , [ 61, 60, 0, 31 ] , [ 71, 30, 60, 71 ] , [ 73, 0, 18, 37 ]
  90C22 270 1 90 0 0 [ 1, 20, 20, 41 ] , [ 1, 30, 60, 1 ] , [ 17, 57, 69, 62 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 31, 0, 30, 61 ] , [ 41, 50, 20, 31 ] , [ 41, 60, 0, 11 ] , [ 73, 0, 18, 37 ]
  90D22 270 1 135 0 0 [ 1, 30, 60, 1 ] , [ 1, 45, 45, 46 ] , [ 19, 0, 0, 19 ] , [ 19, 72, 54, 1 ] , [ 26, 45, 45, 71 ] , [ 37, 18, 36, 37 ] , [ 66, 65, 85, 51 ] , [ 71, 20, 80, 1 ] , [ 73, 0, 18, 37 ]
  90E22 324 1 162 8 0 [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 62, 44, 11 ] , [ 31, 0, 30, 61 ] , [ 31, 30, 0, 61 ] , [ 31, 60, 60, 61 ] , [ 39, 52, 14, 81 ] , [ 41, 0, 60, 11 ] , [ 61, 30, 30, 31 ] , [ 71, 80, 20, 1 ] , [ 79, 77, 14, 41 ]
  90F22 324 1 162 12 0 [ 1, 18, 0, 1 ] , [ 1, 45, 45, 46 ] , [ 41, 10, 10, 31 ] , [ 47, 28, 65, 33 ] , [ 51, 80, 70, 11 ] , [ 69, 80, 70, 29 ] , [ 71, 0, 0, 71 ] , [ 81, 10, 80, 81 ]
  90G22 324 1 162 12 0 [ 19, 0, 0, 19 ] , [ 19, 36, 36, 73 ] , [ 19, 62, 44, 11 ] , [ 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 ] , [ 71, 80, 20, 1 ]
  90H22 324 2 162 12 0 [ 29, 42, 69, 41 ] , [ 41, 30, 30, 11 ] , [ 46, 45, 45, 1 ] , [ 49, 32, 14, 11 ] , [ 49, 52, 4, 41 ] , [ 49, 60, 60, 79 ] , [ 61, 30, 30, 31 ] , [ 73, 54, 54, 19 ]
  90I22 360 1 40 0 18 [ 1, 30, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 19, 36, 54, 55 ] , [ 31, 0, 0, 61 ] , [ 37, 0, 18, 73 ] , [ 68, 85, 87, 77 ] , [ 76, 5, 75, 31 ]
  90J22 360 1 40 0 18 [ 1, 30, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 23, 40, 42, 77 ] , [ 31, 0, 0, 61 ] , [ 31, 50, 30, 31 ] , [ 37, 0, 18, 73 ] , [ 64, 81, 9, 55 ]
  90K22 360 2 20 0 18 [ 1, 30, 0, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 36, 1 ] , [ 46, 45, 45, 1 ] , [ 61, 0, 0, 31 ] , [ 71, 45, 45, 26 ] , [ 73, 0, 72, 37 ] , [ 85, 59, 21, 4 ]
  90L22 360 2 40 0 9 [ 1, 50, 0, 1 ] , [ 1, 60, 0, 1 ] , [ 1, 72, 54, 19 ] , [ 14, 21, 39, 65 ] , [ 19, 0, 0, 19 ] , [ 25, 39, 21, 4 ] , [ 37, 0, 18, 73 ] , [ 61, 0, 0, 31 ]
^ Level 92 Name Index  con   len   c2   c3  > SL(2,Z/92Z) Matrix Generators
  92A22 288 1 24 0 0 [ 13, 44, 72, 81 ] , [ 29, 88, 90, 13 ] , [ 55, 30, 62, 79 ] , [ 77, 32, 16, 21 ] , [ 87, 40, 24, 47 ]
  92B22 288 1 144 0 0 [ 17, 28, 4, 77 ] , [ 45, 0, 0, 45 ] , [ 47, 0, 0, 47 ] , [ 47, 46, 69, 1 ] , [ 69, 72, 84, 73 ]
^ Level 93 Name Index  con   len   c2   c3  > SL(2,Z/93Z) Matrix Generators
  93A22 288 1 32 0 0 [ 32, 0, 0, 32 ] , [ 32, 62, 62, 1 ] , [ 55, 63, 21, 19 ] , [ 61, 0, 0, 61 ] , [ 63, 62, 31, 63 ] , [ 91, 51, 60, 4 ]
^ Level 94 Name Index  con   len   c2   c3  > SL(2,Z/94Z) Matrix Generators
  94A22 288 1 48 0 0 [ 5, 24, 62, 91 ] , [ 17, 2, 60, 79 ] , [ 19, 14, 44, 77 ] , [ 23, 32, 8, 3 ] , [ 53, 30, 54, 43 ] , [ 87, 58, 48, 5 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A22 288 1 12 0 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 21, 88, 20, 93 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 75, 32, 34, 3 ] , [ 89, 0, 60, 41 ] , [ 89, 24, 42, 89 ]
  96B22 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, 84, 37 ] , [ 65, 0, 0, 65 ] , [ 65, 32, 32, 1 ] , [ 95, 0, 0, 95 ] , [ 95, 84, 12, 47 ]
  96C22 288 1 36 0 0 [ 1, 0, 48, 1 ] , [ 1, 0, 72, 1 ] , [ 21, 88, 20, 93 ] , [ 25, 48, 48, 73 ] , [ 33, 64, 32, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 53, 56, 56, 61 ] , [ 65, 0, 0, 65 ] , [ 75, 32, 34, 3 ] , [ 89, 0, 60, 41 ] , [ 89, 24, 42, 89 ]
  96D22 288 1 72 0 0 [ 0, 1, 95, 84 ] , [ 1, 48, 48, 1 ] , [ 25, 0, 0, 73 ] , [ 29, 92, 68, 37 ] , [ 49, 0, 0, 49 ] , [ 49, 24, 72, 49 ] , [ 61, 60, 84, 37 ] , [ 61, 92, 68, 5 ] , [ 65, 0, 0, 65 ] , [ 95, 0, 0, 95 ] , [ 95, 84, 12, 47 ]
^ Level 98 Name Index  con   len   c2   c3  > SL(2,Z/98Z) Matrix Generators
  98A22 294 1 147 8 0 [ 37, 2, 1, 61 ] , [ 50, 49, 49, 1 ] , [ 67, 22, 6, 21 ] , [ 71, 84, 0, 29 ] , [ 71, 88, 24, 27 ] , [ 85, 84, 42, 15 ] , [ 97, 0, 0, 97 ]
  98B22 392 1 196 8 14 [ 1, 0, 28, 1 ] , [ 37, 56, 44, 11 ] , [ 50, 49, 49, 1 ] , [ 55, 56, 14, 41 ] , [ 71, 70, 84, 29 ] , [ 87, 52, 27, 95 ]
^ Level 100 Name Index  con   len   c2   c3  > SL(2,Z/100Z) Matrix Generators
  100A22 300 1 150 4 0 [ 1, 50, 50, 1 ] , [ 9, 0, 20, 89 ] , [ 17, 80, 14, 13 ] , [ 21, 20, 20, 81 ] , [ 26, 75, 25, 76 ] , [ 41, 0, 80, 61 ] , [ 51, 0, 0, 51 ] , [ 69, 8, 68, 5 ]
^ Level 105 Name Index  con   len   c2   c3  > SL(2,Z/105Z) Matrix Generators
  105A22 280 2 280 0 1 [ 1, 35, 70, 36 ] , [ 1, 60, 45, 76 ] , [ 16, 30, 15, 61 ] , [ 46, 90, 45, 31 ] , [ 71, 0, 0, 71 ] , [ 71, 21, 42, 8 ] , [ 76, 0, 0, 76 ] , [ 76, 90, 15, 91 ] , [ 92, 7, 35, 78 ] , [ 99, 35, 70, 29 ]
  105B22 315 1 105 15 0 [ 1, 35, 35, 71 ] , [ 16, 30, 15, 61 ] , [ 36, 70, 35, 36 ] , [ 43, 42, 21, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 45, 60, 1 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ]
  105C22 315 2 105 15 0 [ 1, 35, 35, 71 ] , [ 1, 60, 45, 76 ] , [ 16, 30, 15, 61 ] , [ 43, 42, 56, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 35, 1 ] , [ 76, 0, 0, 76 ] , [ 85, 14, 56, 50 ] , [ 85, 63, 63, 85 ]
  105D22 378 1 126 30 0 [ 1, 0, 63, 1 ] , [ 1, 45, 75, 16 ] , [ 13, 10, 4, 92 ] , [ 36, 35, 70, 36 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 76, 0, 0, 76 ] , [ 91, 45, 30, 91 ] , [ 104, 0, 0, 104 ]
^ Level 108 Name Index  con   len   c2   c3  > SL(2,Z/108Z) Matrix Generators
  108A22 288 1 96 0 3 [ 1, 0, 72, 1 ] , [ 19, 33, 91, 16 ] , [ 37, 0, 36, 73 ] , [ 37, 72, 96, 73 ] , [ 52, 63, 45, 67 ] , [ 55, 0, 0, 55 ] , [ 73, 0, 0, 37 ] , [ 100, 63, 69, 91 ] , [ 107, 0, 0, 107 ]
  108B22 432 1 12 0 36 [ 1, 0, 72, 1 ] , [ 25, 24, 64, 1 ] , [ 25, 96, 52, 1 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 72, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 27, 81, 28 ] , [ 55, 54, 0, 55 ] , [ 107, 0, 0, 107 ]
  108C22 432 1 24 0 36 [ 1, 0, 36, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 54, 54, 1 ] , [ 31, 0, 54, 7 ] , [ 37, 69, 25, 70 ] , [ 37, 72, 24, 73 ] , [ 55, 0, 54, 55 ] , [ 73, 0, 0, 37 ] , [ 107, 0, 0, 107 ]
  108D22 432 1 24 0 36 [ 1, 0, 36, 1 ] , [ 1, 0, 72, 1 ] , [ 4, 27, 81, 7 ] , [ 37, 72, 24, 73 ] , [ 55, 0, 54, 55 ] , [ 55, 54, 0, 55 ] , [ 73, 0, 72, 37 ] , [ 85, 78, 10, 13 ] , [ 107, 0, 0, 107 ]
  108E22 432 1 36 0 0 [ 1, 0, 36, 1 ] , [ 17, 0, 30, 89 ] , [ 37, 0, 48, 73 ] , [ 61, 0, 68, 85 ] , [ 61, 36, 0, 85 ] , [ 71, 0, 84, 35 ] , [ 71, 54, 84, 35 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 84, 37 ]
  108F22 432 1 72 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 72, 1 ] , [ 1, 0, 81, 1 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 24, 73 ] , [ 61, 0, 56, 85 ] , [ 71, 0, 30, 35 ] , [ 73, 0, 24, 37 ] , [ 97, 72, 88, 13 ]
^ Level 109 Name Index  con   len   c2   c3  > SL(2,Z/109Z) Matrix Generators
  109A22 330 1 110 6 6 [ 71, 93, 70, 61 ] , [ 74, 99, 71, 95 ] , [ 78, 54, 9, 30 ] , [ 79, 54, 9, 31 ] , [ 86, 88, 43, 25 ]
^ Level 111 Name Index  con   len   c2   c3  > SL(2,Z/111Z) Matrix Generators
  111A22 342 1 38 18 0 [ 1, 37, 37, 38 ] , [ 38, 0, 0, 38 ] , [ 38, 37, 37, 1 ] , [ 40, 108, 66, 70 ] , [ 72, 44, 31, 39 ] , [ 109, 72, 60, 4 ] , [ 110, 0, 0, 110 ]
^ Level 112 Name Index  con   len   c2   c3  > SL(2,Z/112Z) Matrix Generators
  112A22 336 2 84 8 0 [ 1, 28, 0, 1 ] , [ 19, 92, 72, 107 ] , [ 29, 0, 56, 85 ] , [ 43, 14, 56, 99 ] , [ 49, 80, 16, 97 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 0, 57 ] , [ 57, 56, 0, 57 ] , [ 65, 75, 38, 99 ] , [ 81, 32, 64, 17 ] , [ 97, 0, 0, 97 ]
^ Level 114 Name Index  con   len   c2   c3  > SL(2,Z/114Z) Matrix Generators
  114A22 360 1 40 0 18 [ 13, 18, 12, 43 ] , [ 39, 38, 76, 39 ] , [ 58, 57, 19, 1 ] , [ 73, 78, 30, 43 ] , [ 77, 0, 0, 77 ] , [ 77, 76, 76, 1 ] , [ 91, 84, 90, 43 ]
  114B22 360 2 20 0 18 [ 1, 24, 64, 55 ] , [ 1, 57, 57, 58 ] , [ 25, 102, 48, 91 ] , [ 39, 76, 38, 39 ] , [ 77, 0, 0, 77 ] , [ 77, 76, 76, 1 ] , [ 113, 57, 57, 56 ]
^ Level 117 Name Index  con   len   c2   c3  > SL(2,Z/117Z) Matrix Generators
  117A22 378 1 126 30 0 [ 1, 13, 91, 14 ] , [ 14, 78, 78, 92 ] , [ 25, 21, 3, 40 ] , [ 46, 18, 63, 73 ] , [ 79, 0, 0, 40 ] , [ 79, 78, 78, 40 ] , [ 103, 78, 78, 25 ] , [ 105, 104, 52, 66 ]
^ Level 126 Name Index  con   len   c2   c3  > SL(2,Z/126Z) Matrix Generators
  126A22 378 2 189 36 0 [ 1, 18, 108, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 57, 75, 106 ] , [ 19, 36, 72, 37 ] , [ 29, 84, 84, 113 ] , [ 43, 119, 56, 29 ] , [ 55, 0, 0, 55 ] , [ 73, 72, 18, 73 ] , [ 85, 21, 21, 106 ] , [ 120, 91, 35, 78 ]
^ Level 132 Name Index  con   len   c2   c3  > SL(2,Z/132Z) Matrix Generators
  132A22 264 2 44 0 0 [ 43, 0, 0, 43 ] , [ 45, 88, 44, 45 ] , [ 52, 17, 107, 35 ] , [ 64, 129, 75, 79 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 88, 88, 1 ] , [ 100, 33, 99, 67 ]
^ Level 140 Name Index  con   len   c2   c3  > SL(2,Z/140Z) Matrix Generators
  140A22 280 2 140 0 4 [ 1, 35, 35, 106 ] , [ 1, 56, 28, 29 ] , [ 1, 80, 60, 41 ] , [ 21, 80, 100, 81 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 56, 113 ] , [ 57, 84, 112, 57 ] , [ 71, 0, 0, 71 ] , [ 81, 120, 0, 121 ] , [ 121, 120, 100, 61 ]
^ Level 143 Name Index  con   len   c2   c3  > SL(2,Z/143Z) Matrix Generators
  143A22 308 2 154 0 8 [ 1, 0, 11, 1 ] , [ 1, 0, 121, 1 ] , [ 40, 91, 125, 27 ] , [ 56, 0, 0, 23 ] , [ 79, 26, 73, 53 ] , [ 131, 0, 0, 131 ] , [ 133, 0, 11, 100 ]
^ Level 144 Name Index  con   len   c2   c3  > SL(2,Z/144Z) Matrix Generators
  144A22 288 1 48 0 0 [ 1, 0, 108, 1 ] , [ 1, 96, 0, 1 ] , [ 41, 0, 72, 137 ] , [ 49, 128, 48, 49 ] , [ 55, 18, 81, 37 ] , [ 73, 0, 0, 73 ] , [ 73, 0, 72, 73 ] , [ 97, 0, 0, 49 ] , [ 109, 72, 72, 37 ] , [ 127, 0, 0, 127 ] , [ 127, 90, 63, 73 ]
  144B22 288 1 48 0 0 [ 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, 54, 117, 109 ] , [ 91, 72, 108, 19 ] , [ 97, 0, 0, 49 ]
  144C22 288 1 144 8 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 96, 0, 97 ] , [ 65, 12, 12, 113 ] , [ 73, 36, 36, 73 ] , [ 73, 45, 9, 118 ] , [ 73, 72, 0, 73 ] , [ 97, 20, 56, 65 ] , [ 127, 108, 108, 127 ] , [ 140, 17, 95, 100 ]
  144D22 288 1 144 8 0 [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 49, 48, 0, 97 ] , [ 49, 57, 21, 142 ] , [ 65, 60, 60, 113 ] , [ 65, 128, 20, 97 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 109, 72, 36, 37 ] , [ 127, 0, 72, 127 ] , [ 140, 1, 31, 136 ]
  144E22 288 1 144 8 0 [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 49, 48, 0, 97 ] , [ 49, 57, 21, 142 ] , [ 65, 60, 60, 113 ] , [ 65, 128, 92, 97 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 109, 72, 36, 37 ] , [ 127, 0, 72, 127 ] , [ 140, 1, 31, 136 ]
  144F22 288 1 144 8 0 [ 1, 36, 108, 1 ] , [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 48, 48, 97 ] , [ 65, 84, 84, 113 ] , [ 73, 72, 0, 73 ] , [ 82, 27, 27, 109 ] , [ 96, 17, 127, 120 ] , [ 97, 48, 0, 49 ] , [ 97, 128, 20, 65 ] , [ 127, 36, 36, 127 ]
  144G22 288 1 144 8 0 [ 1, 48, 96, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 60, 60, 113 ] , [ 65, 128, 20, 97 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 109, 72, 36, 37 ] , [ 121, 21, 129, 70 ] , [ 127, 108, 108, 127 ] , [ 140, 1, 31, 100 ]
  144H22 288 1 144 8 0 [ 1, 48, 96, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 60, 60, 113 ] , [ 65, 128, 92, 97 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 109, 72, 36, 37 ] , [ 121, 21, 129, 70 ] , [ 127, 108, 108, 127 ] , [ 140, 1, 31, 100 ]
  144I22 288 2 72 8 0 [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 73, 36, 36, 73 ] , [ 73, 72, 0, 73 ] , [ 96, 89, 55, 120 ] , [ 97, 48, 0, 49 ] , [ 97, 96, 96, 49 ] , [ 97, 128, 56, 65 ] , [ 109, 81, 9, 82 ] , [ 113, 96, 96, 65 ] , [ 127, 72, 72, 127 ]
  144J22 288 2 72 8 0 [ 1, 72, 72, 1 ] , [ 32, 89, 23, 64 ] , [ 37, 108, 72, 109 ] , [ 73, 36, 36, 73 ] , [ 73, 72, 0, 73 ] , [ 97, 48, 0, 49 ] , [ 97, 96, 96, 49 ] , [ 97, 128, 128, 65 ] , [ 109, 81, 9, 82 ] , [ 113, 96, 96, 65 ] , [ 127, 72, 72, 127 ]
  144K22 288 2 144 4 0 [ 37, 36, 0, 109 ] , [ 37, 72, 108, 109 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 97, 0, 96, 49 ] , [ 97, 96, 96, 49 ] , [ 100, 63, 81, 64 ] , [ 109, 45, 45, 82 ] , [ 113, 80, 56, 97 ] , [ 113, 96, 96, 65 ] , [ 127, 108, 36, 127 ]
  144L22 288 2 144 4 0 [ 37, 36, 0, 109 ] , [ 37, 72, 108, 109 ] , [ 73, 0, 72, 73 ] , [ 73, 72, 0, 73 ] , [ 97, 0, 96, 49 ] , [ 97, 96, 96, 49 ] , [ 100, 63, 81, 64 ] , [ 109, 45, 45, 82 ] , [ 113, 80, 128, 97 ] , [ 113, 96, 96, 65 ] , [ 127, 108, 36, 127 ]
  144M22 288 2 144 8 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 49, 57, 21, 142 ] , [ 65, 96, 96, 113 ] , [ 65, 128, 56, 97 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 108, 73 ] , [ 127, 36, 108, 127 ] , [ 140, 1, 31, 136 ]
  144N22 288 2 144 8 0 [ 1, 48, 96, 1 ] , [ 1, 72, 72, 1 ] , [ 37, 108, 72, 109 ] , [ 49, 0, 48, 97 ] , [ 49, 57, 21, 142 ] , [ 65, 96, 96, 113 ] , [ 65, 128, 128, 97 ] , [ 73, 72, 0, 73 ] , [ 73, 108, 108, 73 ] , [ 127, 36, 108, 127 ] , [ 140, 1, 31, 136 ]
^ Level 150 Name Index  con   len   c2   c3  > SL(2,Z/150Z) Matrix Generators
  150A22 300 1 50 12 0 [ 1, 75, 75, 76 ] , [ 1, 100, 100, 101 ] , [ 29, 0, 60, 119 ] , [ 51, 50, 100, 51 ] , [ 61, 30, 90, 91 ] , [ 83, 65, 56, 127 ] , [ 91, 0, 30, 61 ] , [ 101, 0, 0, 101 ] , [ 145, 72, 132, 79 ]
^ Level 162 Name Index  con   len   c2   c3  > SL(2,Z/162Z) Matrix Generators
  162A22 324 1 108 0 0 [ 1, 0, 81, 1 ] , [ 1, 0, 108, 1 ] , [ 19, 54, 66, 145 ] , [ 55, 0, 36, 109 ] , [ 61, 18, 94, 49 ] , [ 67, 18, 0, 133 ] , [ 91, 54, 0, 73 ] , [ 107, 108, 30, 53 ] , [ 109, 0, 0, 55 ]
  162B22 324 1 108 0 0 [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 31, 36, 80, 25 ] , [ 37, 108, 132, 127 ] , [ 67, 18, 0, 133 ] , [ 91, 54, 0, 73 ] , [ 107, 108, 30, 53 ] , [ 109, 0, 0, 55 ] , [ 109, 0, 72, 55 ]
^ Level 168 Name Index  con   len   c2   c3  > SL(2,Z/168Z) Matrix Generators
  168A22 288 1 24 0 0 [ 1, 56, 56, 113 ] , [ 25, 120, 96, 145 ] , [ 47, 13, 16, 151 ] , [ 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 ]
  168B22 288 1 48 0 0 [ 1, 112, 112, 113 ] , [ 49, 96, 144, 145 ] , [ 49, 144, 96, 97 ] , [ 57, 112, 56, 57 ] , [ 57, 161, 70, 15 ] , [ 85, 0, 0, 85 ] , [ 85, 84, 0, 85 ] , [ 113, 0, 0, 113 ] , [ 141, 91, 14, 15 ] , [ 145, 48, 72, 25 ] , [ 155, 84, 0, 155 ]
  168C22 288 1 72 0 0 [ 15, 14, 112, 15 ] , [ 25, 120, 96, 145 ] , [ 49, 152, 32, 89 ] , [ 65, 54, 144, 161 ] , [ 71, 70, 112, 127 ] , [ 71, 126, 84, 71 ] , [ 73, 108, 120, 97 ] , [ 85, 84, 0, 85 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 125, 128, 137 ]
  168D22 288 1 144 0 0 [ 1, 105, 42, 43 ] , [ 1, 161, 98, 155 ] , [ 49, 96, 144, 145 ] , [ 49, 144, 96, 97 ] , [ 57, 161, 70, 15 ] , [ 85, 0, 0, 85 ] , [ 85, 84, 0, 85 ] , [ 113, 0, 0, 113 ] , [ 141, 91, 14, 15 ] , [ 145, 48, 72, 25 ] , [ 155, 84, 0, 155 ]
  168E22 288 2 24 0 0 [ 1, 48, 80, 145 ] , [ 57, 56, 112, 57 ] , [ 65, 96, 60, 161 ] , [ 65, 96, 144, 161 ] , [ 67, 60, 69, 127 ] , [ 89, 104, 2, 25 ] , [ 97, 0, 147, 97 ] , [ 97, 84, 84, 97 ] , [ 97, 144, 48, 73 ] , [ 113, 0, 0, 113 ] , [ 113, 56, 56, 1 ] , [ 117, 104, 100, 165 ] , [ 129, 80, 64, 153 ]
  168F22 288 2 48 0 0 [ 1, 0, 84, 1 ] , [ 1, 0, 126, 1 ] , [ 1, 126, 147, 43 ] , [ 57, 56, 112, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 113, 56, 56, 1 ] , [ 121, 96, 144, 49 ] , [ 127, 0, 0, 127 ] , [ 145, 120, 88, 1 ]
  168G22 336 2 28 24 0 [ 1, 84, 84, 1 ] , [ 25, 144, 120, 73 ] , [ 49, 96, 144, 49 ] , [ 57, 56, 112, 57 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 135, 31, 134, 93 ] , [ 155, 84, 0, 155 ]
  168H22 336 2 28 24 0 [ 1, 84, 84, 1 ] , [ 22, 105, 21, 1 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 112, 57 ] , [ 73, 24, 48, 25 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 112, 1 ] , [ 119, 96, 144, 119 ] , [ 135, 31, 50, 9 ]
  168I22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 22, 105, 21, 1 ] , [ 25, 144, 120, 73 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 79, 151, 34, 65 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 56, 56, 1 ] , [ 113, 112, 28, 1 ]
  168J22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 112, 57 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 135, 31, 134, 93 ] , [ 145, 120, 72, 121 ] , [ 155, 84, 0, 155 ]
  168K22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 25, 144, 120, 73 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 56, 56, 1 ] , [ 121, 144, 132, 121 ]
  168L22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 25, 144, 120, 73 ] , [ 57, 112, 56, 57 ] , [ 71, 0, 0, 71 ] , [ 71, 35, 98, 1 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 106, 105, 105, 85 ] , [ 113, 0, 0, 113 ] , [ 121, 48, 96, 145 ] , [ 121, 144, 132, 121 ]
  168M22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 15, 7, 98, 57 ] , [ 22, 105, 21, 1 ] , [ 25, 144, 120, 73 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 32, 104, 65 ]
  168N22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 22, 105, 21, 1 ] , [ 25, 144, 120, 73 ] , [ 49, 96, 144, 49 ] , [ 71, 0, 0, 71 ] , [ 71, 119, 14, 85 ] , [ 79, 151, 34, 65 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 127, 119, 98, 113 ]
  168O22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 15, 7, 14, 141 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 113, 112, 28, 1 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] , [ 155, 84, 0, 155 ]
  168P22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 71, 7, 70, 85 ] , [ 71, 119, 98, 1 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] , [ 155, 84, 0, 155 ]
  168Q22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 15, 7, 14, 141 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] , [ 155, 84, 0, 155 ]
  168R22 336 2 84 24 0 [ 1, 84, 84, 1 ] , [ 49, 24, 72, 97 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 112, 57 ] , [ 71, 119, 98, 1 ] , [ 85, 0, 84, 85 ] , [ 85, 147, 147, 106 ] , [ 97, 0, 0, 97 ] , [ 113, 0, 0, 113 ] , [ 121, 24, 120, 121 ] , [ 145, 120, 72, 121 ] , [ 155, 84, 0, 155 ]
^ Level 176 Name Index  con   len   c2   c3  > SL(2,Z/176Z) Matrix Generators
  176A22 264 2 33 0 0 [ 1, 0, 88, 1 ] , [ 1, 88, 132, 1 ] , [ 23, 0, 88, 23 ] , [ 23, 22, 33, 1 ] , [ 41, 146, 59, 47 ] , [ 45, 0, 132, 133 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 0, 89 ] , [ 133, 132, 154, 133 ] , [ 135, 142, 13, 161 ]
  176B22 264 2 132 0 0 [ 1, 0, 88, 1 ] , [ 41, 58, 169, 3 ] , [ 45, 0, 88, 133 ] , [ 45, 44, 22, 45 ] , [ 65, 0, 0, 65 ] , [ 67, 88, 44, 155 ] , [ 89, 0, 0, 89 ] , [ 89, 88, 132, 89 ] , [ 111, 66, 33, 45 ] , [ 141, 24, 4, 133 ]
  176C22 288 1 144 0 0 [ 1, 0, 44, 1 ] , [ 1, 0, 88, 1 ] , [ 1, 112, 64, 129 ] , [ 3, 2, 141, 153 ] , [ 23, 0, 88, 23 ] , [ 49, 48, 128, 129 ] , [ 67, 154, 143, 45 ] , [ 89, 0, 0, 89 ] , [ 97, 160, 160, 97 ] , [ 133, 88, 88, 45 ]
^ Level 180 Name Index  con   len   c2   c3  > SL(2,Z/180Z) Matrix Generators
  180A22 270 1 135 0 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, 160, 141 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 72, 144, 1 ] , [ 117, 28, 116, 117 ] , [ 121, 60, 60, 61 ]
  180B22 270 2 135 2 0 [ 37, 108, 36, 37 ] , [ 41, 0, 60, 101 ] , [ 61, 60, 0, 121 ] , [ 61, 140, 50, 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 ]
  180C22 324 1 162 12 0 [ 1, 80, 170, 101 ] , [ 41, 0, 60, 101 ] , [ 61, 120, 120, 121 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 36, 36, 73 ] , [ 121, 0, 120, 61 ] , [ 121, 30, 0, 61 ] , [ 121, 60, 60, 61 ] , [ 129, 52, 104, 81 ] , [ 161, 80, 20, 1 ] , [ 169, 77, 104, 41 ]
  180D22 324 2 162 16 0 [ 1, 80, 170, 101 ] , [ 21, 160, 140, 81 ] , [ 41, 0, 60, 101 ] , [ 61, 5, 140, 41 ] , [ 61, 120, 120, 121 ] , [ 89, 152, 164, 1 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 36, 36, 73 ] , [ 121, 0, 120, 61 ] , [ 121, 30, 0, 61 ] , [ 121, 60, 60, 61 ]
^ Level 182 Name Index  con   len   c2   c3  > SL(2,Z/182Z) Matrix Generators
  182A22 294 2 294 6 0 [ 1, 91, 0, 1 ] , [ 19, 4, 46, 163 ] , [ 27, 0, 0, 27 ] , [ 53, 130, 78, 157 ] , [ 105, 78, 104, 105 ] , [ 109, 44, 2, 101 ] , [ 157, 26, 26, 53 ] , [ 157, 78, 0, 131 ] , [ 163, 70, 64, 109 ] , [ 181, 0, 0, 181 ]
^ Level 184 Name Index  con   len   c2   c3  > SL(2,Z/184Z) Matrix Generators
  184A22 288 1 72 0 0 [ 1, 0, 92, 1 ] , [ 25, 128, 139, 145 ] , [ 49, 164, 136, 121 ] , [ 65, 48, 96, 153 ] , [ 73, 80, 64, 113 ] , [ 93, 0, 92, 93 ] , [ 93, 0, 138, 93 ] , [ 129, 40, 32, 57 ] , [ 139, 132, 87, 31 ]
  184B22 288 1 144 0 0 [ 1, 0, 92, 1 ] , [ 1, 0, 138, 1 ] , [ 1, 46, 161, 47 ] , [ 9, 48, 80, 161 ] , [ 17, 88, 24, 81 ] , [ 47, 0, 0, 47 ] , [ 93, 0, 0, 93 ] , [ 153, 128, 176, 33 ]
^ Level 188 Name Index  con   len   c2   c3  > SL(2,Z/188Z) Matrix Generators
  188A22 Γ0(188) 288 1 144 0 0 [ 1, 0, 47, 1 ] , [ 1, 0, 94, 1 ] , [ 5, 24, 156, 185 ] , [ 17, 96, 60, 173 ] , [ 95, 0, 94, 95 ] , [ 113, 108, 44, 77 ] , [ 117, 32, 8, 97 ] , [ 181, 152, 48, 5 ]
^ Level 189 Name Index  con   len   c2   c3  > SL(2,Z/189Z) Matrix Generators
  189A22 288 2 96 0 3 [ 1, 0, 126, 1 ] , [ 1, 126, 105, 1 ] , [ 22, 174, 164, 103 ] , [ 64, 0, 0, 127 ] , [ 64, 111, 59, 61 ] , [ 82, 27, 135, 109 ] , [ 106, 27, 3, 40 ] , [ 113, 168, 91, 50 ] , [ 127, 0, 0, 64 ] , [ 139, 21, 98, 76 ]
^ Level 192 Name Index  con   len   c2   c3  > SL(2,Z/192Z) Matrix Generators
  192A22 288 1 24 0 0 [ 1, 0, 84, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 0, 144, 1 ] , [ 1, 0, 168, 1 ] , [ 17, 96, 54, 113 ] , [ 49, 0, 144, 145 ] , [ 65, 0, 0, 65 ] , [ 65, 128, 128, 1 ] , [ 69, 32, 139, 45 ] , [ 97, 0, 144, 97 ] , [ 121, 96, 168, 73 ] , [ 129, 112, 41, 177 ] , [ 129, 128, 64, 129 ] , [ 145, 0, 168, 49 ] , [ 191, 0, 0, 191 ]
  192B22 288 1 72 0 0 [ 1, 0, 84, 1 ] , [ 1, 0, 96, 1 ] , [ 1, 0, 144, 1 ] , [ 1, 0, 168, 1 ] , [ 17, 96, 54, 113 ] , [ 49, 0, 144, 145 ] , [ 65, 0, 0, 65 ] , [ 65, 48, 99, 17 ] , [ 65, 112, 163, 145 ] , [ 69, 32, 139, 45 ] , [ 97, 0, 144, 97 ] , [ 121, 96, 168, 73 ] , [ 129, 112, 41, 177 ] , [ 145, 0, 168, 49 ] , [ 191, 0, 0, 191 ]
^ Level 198 Name Index  con   len   c2   c3  > SL(2,Z/198Z) Matrix Generators
  198A22 264 2 44 0 0 [ 1, 132, 0, 1 ] , [ 43, 132, 0, 175 ] , [ 61, 128, 60, 61 ] , [ 100, 99, 99, 1 ] , [ 116, 141, 189, 71 ] , [ 133, 0, 0, 67 ] , [ 133, 44, 132, 133 ] , [ 155, 22, 66, 155 ]
  198B22 264 2 88 0 0 [ 1, 22, 132, 133 ] , [ 25, 34, 42, 73 ] , [ 67, 132, 0, 133 ] , [ 109, 0, 0, 109 ] , [ 133, 0, 0, 67 ] , [ 149, 108, 90, 137 ] , [ 155, 121, 99, 122 ] , [ 166, 187, 99, 133 ]
^ Level 210 Name Index  con   len   c2   c3  > SL(2,Z/210Z) Matrix Generators
  210A22 280 2 140 0 4 [ 1, 105, 105, 106 ] , [ 1, 150, 60, 181 ] , [ 121, 120, 30, 61 ] , [ 122, 201, 3, 17 ] , [ 127, 0, 126, 43 ] , [ 127, 126, 168, 127 ] , [ 141, 140, 70, 71 ] , [ 151, 120, 0, 121 ] , [ 164, 207, 141, 32 ] , [ 169, 0, 0, 169 ] , [ 169, 84, 42, 1 ] , [ 181, 0, 0, 181 ]
  210B22 280 2 140 0 4 [ 1, 105, 105, 106 ] , [ 1, 150, 60, 181 ] , [ 67, 60, 96, 133 ] , [ 121, 120, 30, 61 ] , [ 122, 201, 3, 17 ] , [ 127, 0, 126, 43 ] , [ 127, 126, 168, 127 ] , [ 141, 140, 70, 71 ] , [ 151, 120, 0, 121 ] , [ 169, 0, 0, 169 ] , [ 169, 84, 42, 1 ] , [ 181, 0, 0, 181 ]
^ Level 216 Name Index  con   len   c2   c3  > SL(2,Z/216Z) Matrix Generators
  216A22 288 2 48 0 0 [ 1, 144, 0, 1 ] , [ 73, 192, 0, 145 ] , [ 97, 0, 144, 49 ] , [ 109, 0, 108, 109 ] , [ 109, 108, 0, 109 ] , [ 137, 0, 72, 41 ] , [ 145, 0, 0, 73 ] , [ 145, 112, 144, 1 ] , [ 181, 162, 135, 91 ] , [ 190, 27, 135, 1 ] , [ 199, 0, 0, 127 ]
  216B22 288 2 48 0 6 [ 1, 24, 72, 1 ] , [ 1, 72, 0, 1 ] , [ 1, 108, 108, 1 ] , [ 1, 184, 96, 169 ] , [ 67, 0, 36, 187 ] , [ 82, 135, 135, 109 ] , [ 97, 54, 207, 211 ] , [ 109, 108, 0, 109 ] , [ 145, 0, 0, 73 ] , [ 169, 0, 72, 193 ] , [ 185, 0, 72, 209 ]
  216C22 432 1 36 0 0 [ 1, 0, 108, 1 ] , [ 1, 0, 162, 1 ] , [ 1, 0, 189, 1 ] , [ 1, 72, 0, 1 ] , [ 55, 108, 54, 55 ] , [ 109, 0, 108, 109 ] , [ 121, 168, 72, 25 ] , [ 143, 0, 162, 71 ] , [ 145, 24, 0, 73 ] , [ 145, 64, 144, 1 ] , [ 145, 72, 0, 73 ]
^ Level 231 Name Index  con   len   c2   c3  > SL(2,Z/231Z) Matrix Generators
  231A22 264 2 88 0 0 [ 1, 154, 154, 155 ] , [ 11, 31, 193, 208 ] , [ 34, 33, 198, 199 ] , [ 43, 0, 0, 43 ] , [ 78, 77, 154, 78 ] , [ 78, 220, 44, 210 ] , [ 155, 0, 0, 155 ] , [ 191, 8, 167, 7 ] , [ 210, 220, 44, 111 ]
^ Level 242 Name Index  con   len   c2   c3  > SL(2,Z/242Z) Matrix Generators
  242A22 Γ0(242) 396 1 396 0 0 [ 1, 0, 121, 1 ] , [ 27, 200, 212, 217 ] , [ 45, 22, 154, 199 ] , [ 141, 176, 146, 93 ] , [ 155, 154, 0, 89 ] , [ 241, 0, 0, 241 ]
^ Level 243 Name Index  con   len   c2   c3  > SL(2,Z/243Z) Matrix Generators
  243A22 324 1 108 0 0 [ 1, 0, 126, 1 ] , [ 1, 0, 135, 1 ] , [ 1, 0, 162, 1 ] , [ 1, 0, 204, 1 ] , [ 82, 0, 81, 163 ] , [ 136, 0, 216, 109 ] , [ 178, 81, 60, 157 ] , [ 190, 81, 16, 136 ] , [ 208, 0, 153, 118 ] , [ 242, 0, 0, 242 ]
^ Level 250 Name Index  con   len   c2   c3  > SL(2,Z/250Z) Matrix Generators
  250A22 300 1 150 4 0 [ 1, 125, 125, 126 ] , [ 51, 100, 100, 201 ] , [ 71, 0, 30, 81 ] , [ 93, 232, 95, 237 ] , [ 101, 0, 150, 151 ] , [ 143, 14, 124, 159 ] , [ 189, 60, 100, 209 ] , [ 211, 70, 120, 41 ]
  250B22 300 1 150 4 0 [ 41, 166, 123, 59 ] , [ 51, 100, 100, 201 ] , [ 61, 20, 70, 191 ] , [ 99, 100, 50, 149 ] , [ 113, 204, 64, 89 ] , [ 126, 125, 125, 1 ] , [ 151, 0, 100, 101 ] , [ 181, 0, 120, 221 ]
^ Level 253 Name Index  con   len   c2   c3  > SL(2,Z/253Z) Matrix Generators
  253A22 264 2 264 0 0 [ 34, 99, 242, 221 ] , [ 63, 87, 32, 245 ] , [ 111, 143, 220, 133 ] , [ 116, 10, 120, 235 ] , [ 208, 0, 0, 208 ] , [ 252, 0, 0, 252 ]
^ Level 258 Name Index  con   len   c2   c3  > SL(2,Z/258Z) Matrix Generators
  258A22 264 1 44 0 0 [ 1, 172, 172, 173 ] , [ 85, 86, 86, 257 ] , [ 87, 172, 86, 87 ] , [ 115, 150, 108, 13 ] , [ 130, 129, 129, 1 ] , [ 145, 210, 174, 115 ] , [ 173, 0, 0, 173 ] , [ 187, 240, 12, 43 ]
  258B22 264 1 132 0 0 [ 1, 172, 172, 173 ] , [ 115, 150, 108, 13 ] , [ 130, 129, 129, 1 ] , [ 145, 210, 174, 115 ] , [ 171, 86, 43, 171 ] , [ 173, 0, 0, 173 ] , [ 173, 172, 43, 1 ] , [ 187, 240, 12, 43 ]
^ Level 262 Name Index  con   len   c2   c3  > SL(2,Z/262Z) Matrix Generators
  262A22 264 1 132 0 0 [ 29, 220, 212, 217 ] , [ 69, 66, 116, 73 ] , [ 79, 158, 124, 185 ] , [ 132, 131, 131, 1 ] , [ 261, 0, 0, 261 ]
^ Level 263 Name Index  con   len   c2   c3  > SL(2,Z/263Z) Matrix Generators
  263A22 Γ0(263) 264 1 264 0 0 [ 85, 176, 199, 180 ] , [ 192, 134, 189, 10 ] , [ 262, 0, 0, 262 ]
^ Level 265 Name Index  con   len   c2   c3  > SL(2,Z/265Z) Matrix Generators
  265A22 270 1 270 2 0 [ 36, 195, 150, 231 ] , [ 52, 106, 0, 158 ] , [ 54, 0, 0, 54 ] , [ 93, 178, 111, 13 ] , [ 106, 190, 200, 66 ] , [ 201, 73, 101, 9 ] , [ 221, 115, 135, 141 ] , [ 261, 60, 105, 81 ]
^ Level 266 Name Index  con   len   c2   c3  > SL(2,Z/266Z) Matrix Generators
  266A22 280 2 140 0 4 [ 1, 133, 133, 134 ] , [ 15, 252, 112, 197 ] , [ 39, 0, 114, 191 ] , [ 153, 0, 0, 153 ] , [ 153, 228, 38, 1 ] , [ 155, 56, 42, 113 ] , [ 155, 154, 98, 15 ] , [ 191, 152, 209, 229 ] , [ 191, 190, 114, 229 ] , [ 265, 0, 0, 265 ]
  266B22 280 2 140 0 4 [ 1, 133, 133, 134 ] , [ 15, 252, 112, 197 ] , [ 39, 0, 114, 191 ] , [ 153, 0, 0, 153 ] , [ 153, 228, 38, 1 ] , [ 155, 56, 42, 113 ] , [ 155, 154, 98, 15 ] , [ 191, 152, 76, 229 ] , [ 191, 190, 114, 229 ] , [ 265, 0, 0, 265 ]
^ Level 268 Name Index  con   len   c2   c3  > SL(2,Z/268Z) Matrix Generators
  268A22 272 1 272 0 2 [ 1, 134, 67, 135 ] , [ 81, 76, 8, 77 ] , [ 135, 0, 0, 135 ] , [ 181, 56, 168, 89 ] , [ 193, 12, 100, 9 ] , [ 202, 67, 67, 1 ] , [ 209, 256, 168, 125 ]
^ Level 269 Name Index  con   len   c2   c3  > SL(2,Z/269Z) Matrix Generators
  269A22 Γ0(269) 270 1 270 2 0 [ 111, 196, 81, 160 ] , [ 247, 51, 29, 55 ] , [ 268, 0, 0, 268 ]
^ Level 270 Name Index  con   len   c2   c3  > SL(2,Z/270Z) Matrix Generators
  270A22 360 1 60 0 24 [ 19, 36, 18, 91 ] , [ 91, 0, 180, 181 ] , [ 109, 0, 0, 109 ] , [ 109, 162, 162, 55 ] , [ 121, 0, 240, 241 ] , [ 136, 135, 135, 1 ] , [ 149, 32, 262, 165 ] , [ 181, 90, 180, 91 ] , [ 196, 165, 105, 211 ] , [ 206, 255, 75, 161 ] , [ 217, 0, 54, 163 ]
^ Level 271 Name Index  con   len   c2   c3  > SL(2,Z/271Z) Matrix Generators
  271A22 Γ0(271) 272 1 272 0 2 [ 51, 13, 63, 218 ] , [ 205, 5, 119, 147 ] , [ 240, 182, 104, 80 ] , [ 270, 0, 0, 270 ]
^ Level 277 Name Index  con   len   c2   c3  > SL(2,Z/277Z) Matrix Generators
  277A22 Γ0(277) 278 1 278 2 2 [ 24, 144, 176, 75 ] , [ 245, 161, 25, 30 ] , [ 276, 0, 0, 276 ]
^ Level 278 Name Index  con   len   c2   c3  > SL(2,Z/278Z) Matrix Generators
  278A22 280 1 140 0 4 [ 121, 48, 32, 15 ] , [ 127, 122, 250, 273 ] , [ 133, 32, 220, 147 ] , [ 140, 139, 139, 1 ] , [ 159, 170, 168, 45 ]
^ Level 291 Name Index  con   len   c2   c3  > SL(2,Z/291Z) Matrix Generators
  291A22 294 2 98 6 3 [ 1, 194, 194, 98 ] , [ 25, 186, 40, 286 ] , [ 46, 222, 42, 247 ] , [ 61, 192, 237, 226 ] , [ 79, 126, 243, 115 ] , [ 98, 0, 0, 98 ] , [ 139, 162, 160, 19 ] , [ 139, 243, 46, 250 ] , [ 195, 97, 194, 195 ] , [ 235, 243, 143, 55 ]
^ Level 338 Name Index  con   len   c2   c3  > SL(2,Z/338Z) Matrix Generators
  338A22 364 1 182 4 4 [ 1, 169, 169, 170 ] , [ 25, 188, 112, 315 ] , [ 35, 78, 106, 159 ] , [ 105, 0, 182, 235 ] , [ 135, 130, 207, 307 ] , [ 181, 0, 234, 155 ] , [ 313, 78, 104, 27 ]
^ Level 361 Name Index  con   len   c2   c3  > SL(2,Z/361Z) Matrix Generators
  361A22 Γ0(361) 380 1 380 0 2 [ 87, 171, 291, 45 ] , [ 134, 152, 19, 229 ] , [ 206, 66, 222, 157 ] , [ 248, 0, 19, 115 ] , [ 263, 247, 34, 139 ] , [ 360, 0, 0, 360 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA