[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 16

Groups of Level: 13 15 18 21 22 24 25 26 27 28 30 35 36 37 38 39 40 42 44 45 48 50 52 54 55 56 57 60 61 62 63 66 70 72 74 76 78 80 81 84 90 96 101 105 108 109 111 112 117 120 125 126 130 132 134 140 144 148 150 152 156 160 162 168 169 175 176 180 184 186 188 191 195 197 199 201 202 203 206 210 218 220 222 228 234 243
 
 
^ Level 13 Name Index  con   len   c2   c3  > SL(2,Z/13Z) Matrix Generators
  13A16 364 1 91 0 4 [ 1, 1, 10, 11 ] , [ 12, 0, 0, 12 ]
^ Level 15 Name Index  con   len   c2   c3  > SL(2,Z/15Z) Matrix Generators
  15A16 360 2 60 12 0 [ 6, 8, 1, 9 ] , [ 13, 4, 10, 2 ] , [ 14, 0, 0, 14 ]
^ Level 18 Name Index  con   len   c2   c3  > SL(2,Z/18Z) Matrix Generators
  18A16 324 1 9 0 0 [ 1, 0, 9, 1 ] , [ 7, 12, 12, 13 ] , [ 17, 0, 0, 17 ]
  18B16 324 1 18 0 0 [ 1, 0, 9, 1 ] , [ 13, 0, 12, 7 ] , [ 17, 0, 0, 17 ]
  18C16 324 1 27 12 0 [ 1, 9, 9, 10 ] , [ 4, 1, 1, 14 ] , [ 17, 0, 0, 17 ]
  18D16 324 1 54 12 0 [ 7, 12, 0, 13 ] , [ 11, 10, 13, 7 ] , [ 17, 0, 0, 17 ]
  18E16 324 1 108 0 0 [ 1, 0, 9, 1 ] , [ 1, 12, 2, 7 ] , [ 17, 0, 0, 17 ]
  18F16 324 1 108 12 0 [ 1, 3, 3, 10 ] , [ 9, 10, 17, 9 ] , [ 17, 0, 0, 17 ]
  18G16 324 2 27 12 0 [ 11, 4, 1, 7 ] , [ 13, 12, 12, 7 ] , [ 17, 0, 0, 17 ]
  18H16 324 2 54 12 0 [ 1, 13, 4, 17 ] , [ 13, 15, 15, 16 ] , [ 17, 0, 0, 17 ]
^ Level 21 Name Index  con   len   c2   c3  > SL(2,Z/21Z) Matrix Generators
  21A16 252 1 21 0 0 [ 2, 9, 15, 5 ] , [ 4, 6, 3, 10 ] , [ 4, 12, 12, 10 ] , [ 7, 18, 12, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 12, 6, 16 ]
^ Level 22 Name Index  con   len   c2   c3  > SL(2,Z/22Z) Matrix Generators
  22A16 360 1 12 0 0 [ 3, 16, 8, 21 ] , [ 5, 4, 2, 15 ] , [ 7, 4, 2, 17 ] , [ 11, 14, 18, 13 ]
^ Level 24 Name Index  con   len   c2   c3  > SL(2,Z/24Z) Matrix Generators
  24A16 288 1 24 12 0 [ 4, 3, 21, 4 ] , [ 7, 0, 0, 7 ] , [ 12, 5, 19, 12 ] , [ 17, 0, 0, 17 ] , [ 17, 8, 8, 1 ] , [ 17, 16, 16, 1 ]
  24B16 288 1 72 12 0 [ 1, 8, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 16, 3, 21, 16 ] , [ 17, 0, 0, 17 ] , [ 21, 4, 20, 21 ] , [ 23, 0, 0, 23 ]
  24C16 288 1 72 12 0 [ 1, 4, 4, 17 ] , [ 1, 8, 8, 17 ] , [ 7, 0, 0, 7 ] , [ 16, 17, 23, 8 ] , [ 16, 23, 17, 8 ] , [ 17, 0, 0, 17 ]
  24D16 288 1 72 12 0 [ 5, 16, 16, 13 ] , [ 7, 0, 0, 7 ] , [ 9, 8, 16, 9 ] , [ 9, 16, 8, 9 ] , [ 17, 0, 0, 17 ] , [ 20, 19, 13, 4 ]
  24E16 288 2 72 12 0 [ 1, 20, 20, 17 ] , [ 4, 11, 5, 20 ] , [ 5, 20, 20, 13 ] , [ 7, 0, 0, 7 ] , [ 17, 0, 0, 17 ] , [ 23, 0, 0, 23 ]
^ Level 25 Name Index  con   len   c2   c3  > SL(2,Z/25Z) Matrix Generators
  25A16 300 1 6 0 0 [ 11, 20, 0, 16 ] , [ 14, 5, 0, 9 ] , [ 21, 20, 5, 6 ]
  25B16 300 1 30 0 0 [ 0, 7, 7, 22 ] , [ 17, 3, 3, 5 ] , [ 20, 3, 3, 8 ] , [ 21, 10, 10, 6 ]
  25C16 300 1 30 0 0 [ 6, 15, 15, 21 ] , [ 12, 13, 23, 0 ] , [ 24, 0, 0, 24 ]
  25D16 300 1 30 0 0 [ 6, 15, 15, 21 ] , [ 17, 3, 8, 0 ] , [ 24, 0, 0, 24 ]
  25E16 300 1 30 0 0 [ 14, 9, 4, 8 ] , [ 16, 20, 20, 11 ] , [ 24, 0, 0, 24 ]
^ Level 26 Name Index  con   len   c2   c3  > SL(2,Z/26Z) Matrix Generators
  26A16 273 1 273 3 0 [ 1, 0, 13, 1 ] , [ 1, 14, 10, 11 ] , [ 7, 10, 8, 19 ] , [ 17, 4, 12, 9 ] , [ 25, 0, 0, 25 ]
^ Level 27 Name Index  con   len   c2   c3  > SL(2,Z/27Z) Matrix Generators
  27A16 324 1 18 0 0 [ 19, 0, 9, 10 ] , [ 19, 9, 9, 10 ] , [ 25, 21, 21, 22 ] , [ 26, 0, 0, 26 ]
  27B16 324 1 18 0 0 [ 1, 18, 0, 1 ] , [ 10, 0, 9, 19 ] , [ 13, 9, 12, 25 ] , [ 26, 0, 0, 26 ]
  27C16 324 1 36 0 0 [ 1, 0, 9, 1 ] , [ 10, 0, 6, 19 ] , [ 19, 0, 3, 10 ] , [ 25, 9, 13, 22 ] , [ 26, 0, 0, 26 ]
  27D16 324 1 36 0 0 [ 1, 0, 9, 1 ] , [ 1, 0, 15, 1 ] , [ 1, 18, 26, 10 ] , [ 26, 0, 9, 26 ]
  27E16 324 1 36 0 9 [ 10, 0, 0, 19 ] , [ 10, 12, 20, 16 ] , [ 19, 0, 18, 10 ] , [ 26, 0, 0, 26 ]
^ Level 28 Name Index  con   len   c2   c3  > SL(2,Z/28Z) Matrix Generators
  28A16 252 1 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 4, 17, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 17, 21 ]
  28B16 252 1 63 0 0 [ 1, 14, 14, 1 ] , [ 5, 8, 16, 9 ] , [ 7, 12, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 21, 26, 4, 21 ] , [ 27, 24, 18, 15 ]
  28C16 252 1 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ]
  28D16 252 2 63 0 0 [ 5, 2, 25, 27 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 15, 12, 1, 27 ]
  28E16 252 2 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 4, 17, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 16, 24, 21 ]
  28F16 252 2 63 0 0 [ 1, 0, 14, 1 ] , [ 1, 4, 24, 13 ] , [ 5, 8, 16, 9 ] , [ 13, 0, 0, 13 ] , [ 13, 0, 14, 13 ] , [ 15, 0, 14, 15 ] , [ 21, 2, 24, 21 ]
  28G16 288 1 8 0 0 [ 1, 14, 14, 1 ] , [ 15, 14, 0, 15 ] , [ 21, 16, 24, 9 ] , [ 23, 8, 12, 3 ]
  28H16 288 1 48 0 0 [ 1, 14, 21, 15 ] , [ 15, 0, 0, 15 ] , [ 17, 20, 16, 9 ] , [ 25, 8, 12, 5 ]
^ Level 30 Name Index  con   len   c2   c3  > SL(2,Z/30Z) Matrix Generators
  30A16 240 1 80 0 3 [ 1, 15, 5, 16 ] , [ 5, 6, 24, 5 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 25, 12, 12, 19 ]
  30B16 270 1 45 6 0 [ 1, 0, 15, 1 ] , [ 7, 6, 0, 13 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ]
  30C16 270 1 45 6 0 [ 1, 0, 15, 1 ] , [ 7, 0, 24, 13 ] , [ 11, 0, 0, 11 ] , [ 11, 10, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 21, 20, 10, 21 ]
  30D16 270 1 45 12 0 [ 1, 20, 5, 11 ] , [ 7, 6, 0, 13 ] , [ 9, 22, 14, 21 ] , [ 11, 0, 0, 11 ] , [ 19, 0, 0, 19 ] , [ 19, 12, 24, 1 ]
  30E16 270 1 45 12 0 [ 1, 20, 20, 11 ] , [ 11, 0, 0, 11 ] , [ 11, 20, 20, 1 ] , [ 17, 10, 22, 13 ] , [ 19, 0, 0, 19 ] , [ 29, 22, 19, 1 ]
^ Level 35 Name Index  con   len   c2   c3  > SL(2,Z/35Z) Matrix Generators
  35A16 252 1 126 0 0 [ 1, 0, 7, 1 ] , [ 6, 0, 0, 6 ] , [ 16, 30, 15, 26 ] , [ 21, 25, 5, 21 ] , [ 26, 15, 10, 26 ] , [ 34, 0, 0, 34 ]
^ Level 36 Name Index  con   len   c2   c3  > SL(2,Z/36Z) Matrix Generators
  36A16 216 1 9 0 0 [ 1, 4, 28, 5 ] , [ 13, 0, 24, 25 ] , [ 13, 12, 12, 25 ] , [ 19, 0, 0, 19 ] , [ 29, 12, 12, 5 ] , [ 29, 28, 4, 25 ]
  36B16 216 1 27 0 0 [ 9, 10, 26, 9 ] , [ 13, 24, 0, 25 ] , [ 15, 14, 34, 27 ] , [ 25, 0, 12, 13 ] , [ 25, 8, 32, 29 ] , [ 29, 24, 0, 5 ]
  36C16 216 1 54 0 0 [ 5, 0, 12, 29 ] , [ 5, 14, 14, 25 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] , [ 27, 4, 2, 15 ] , [ 29, 10, 4, 25 ]
  36D16 216 1 108 0 0 [ 1, 24, 12, 1 ] , [ 1, 28, 16, 17 ] , [ 10, 27, 27, 1 ] , [ 17, 12, 24, 17 ] , [ 19, 0, 0, 19 ] , [ 29, 28, 4, 25 ]
  36E16 216 2 27 0 0 [ 5, 0, 12, 29 ] , [ 7, 10, 28, 35 ] , [ 13, 24, 0, 25 ] , [ 25, 0, 12, 13 ] , [ 29, 10, 4, 25 ] , [ 33, 32, 16, 9 ]
  36F16 288 1 32 0 9 [ 1, 0, 24, 1 ] , [ 19, 0, 0, 19 ] , [ 25, 0, 0, 13 ] , [ 28, 15, 1, 7 ] , [ 35, 0, 0, 35 ]
  36G16 324 1 54 12 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 25, 12, 0, 13 ] , [ 29, 10, 22, 25 ]
  36H16 324 1 81 24 0 [ 1, 0, 18, 1 ] , [ 11, 12, 30, 23 ] , [ 13, 12, 12, 25 ] , [ 15, 22, 29, 21 ] , [ 19, 0, 18, 19 ] , [ 25, 16, 16, 29 ]
  36I16 324 2 27 12 0 [ 1, 0, 18, 1 ] , [ 13, 12, 12, 25 ] , [ 17, 0, 0, 17 ] , [ 19, 0, 18, 19 ] , [ 29, 10, 22, 25 ] , [ 31, 12, 21, 7 ]
^ Level 37 Name Index  con   len   c2   c3  > SL(2,Z/37Z) Matrix Generators
  37A16 342 1 38 18 0 [ 1, 5, 7, 36 ] , [ 30, 26, 26, 9 ] , [ 36, 0, 0, 36 ]
^ Level 38 Name Index  con   len   c2   c3  > SL(2,Z/38Z) Matrix Generators
  38A16 360 1 40 0 18 [ 3, 17, 35, 34 ] , [ 27, 32, 24, 13 ] , [ 36, 33, 9, 3 ]
^ Level 39 Name Index  con   len   c2   c3  > SL(2,Z/39Z) Matrix Generators
  39A16 252 1 14 0 0 [ 1, 13, 13, 14 ] , [ 1, 26, 26, 14 ] , [ 14, 0, 0, 14 ] , [ 25, 0, 0, 25 ] , [ 34, 18, 24, 7 ]
  39B16 273 2 91 9 6 [ 1, 13, 13, 14 ] , [ 1, 26, 26, 14 ] , [ 14, 0, 0, 14 ] , [ 20, 23, 8, 19 ] , [ 27, 1, 23, 11 ] , [ 30, 17, 25, 9 ] , [ 38, 0, 0, 38 ]
^ Level 40 Name Index  con   len   c2   c3  > SL(2,Z/40Z) Matrix Generators
  40A16 240 1 15 0 0 [ 1, 4, 8, 33 ] , [ 1, 8, 16, 9 ] , [ 1, 20, 20, 1 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 32, 24, 17 ] , [ 31, 20, 20, 31 ]
  40B16 240 1 30 0 0 [ 1, 30, 10, 21 ] , [ 1, 32, 24, 9 ] , [ 9, 0, 0, 9 ] , [ 11, 30, 10, 31 ] , [ 17, 0, 8, 33 ] , [ 17, 32, 24, 17 ] , [ 21, 20, 20, 21 ]
  40C16 240 1 60 4 0 [ 1, 8, 16, 9 ] , [ 9, 0, 0, 9 ] , [ 17, 0, 32, 33 ] , [ 17, 8, 16, 17 ] , [ 21, 20, 20, 21 ] , [ 31, 0, 0, 31 ] , [ 36, 25, 15, 36 ]
  40D16 240 2 60 8 0 [ 1, 5, 25, 6 ] , [ 9, 0, 0, 9 ] , [ 17, 36, 0, 33 ] , [ 21, 0, 20, 21 ] , [ 21, 20, 0, 21 ] , [ 24, 7, 9, 36 ] , [ 39, 20, 20, 39 ]
  40E16 240 2 60 8 0 [ 1, 20, 20, 1 ] , [ 6, 35, 15, 1 ] , [ 9, 0, 0, 9 ] , [ 16, 23, 1, 4 ] , [ 21, 0, 20, 21 ] , [ 31, 20, 20, 31 ] , [ 32, 15, 17, 28 ]
^ Level 42 Name Index  con   len   c2   c3  > SL(2,Z/42Z) Matrix Generators
  42A16 252 1 252 0 0 [ 1, 0, 21, 1 ] , [ 1, 14, 0, 1 ] , [ 7, 26, 18, 7 ] , [ 13, 0, 0, 13 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 21, 29 ]
  42B16 252 2 28 0 9 [ 1, 14, 14, 29 ] , [ 7, 12, 18, 7 ] , [ 9, 37, 35, 32 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 28, 15 ] , [ 29, 0, 0, 29 ] , [ 31, 24, 6, 25 ]
  42C16 252 2 63 8 0 [ 1, 0, 21, 1 ] , [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 4, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
  42D16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 15, 2, 4, 9 ] , [ 15, 26, 22, 27 ] , [ 15, 35, 28, 15 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
  42E16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 18, 12, 7 ] , [ 19, 30, 18, 13 ] , [ 19, 36, 30, 37 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 31, 24, 6, 25 ]
  42F16 252 2 63 12 0 [ 1, 14, 35, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 16, 32, 9 ] , [ 22, 21, 21, 1 ] , [ 27, 10, 11, 15 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ]
  42G16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 15, 14, 7, 15 ] , [ 21, 26, 4, 21 ] , [ 22, 21, 21, 1 ] , [ 29, 0, 0, 29 ] , [ 37, 6, 12, 19 ] , [ 41, 38, 32, 1 ]
  42H16 252 2 63 12 0 [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 4, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ]
  42I16 252 2 63 12 0 [ 7, 24, 30, 13 ] , [ 13, 0, 0, 13 ] , [ 13, 10, 25, 29 ] , [ 25, 18, 36, 31 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 7, 1 ] , [ 37, 6, 12, 19 ]
^ Level 44 Name Index  con   len   c2   c3  > SL(2,Z/44Z) Matrix Generators
  44A16 240 1 12 0 0 [ 1, 22, 22, 1 ] , [ 12, 11, 33, 23 ] , [ 16, 43, 5, 19 ] , [ 23, 22, 0, 23 ] , [ 25, 16, 8, 21 ] , [ 35, 24, 12, 7 ] , [ 35, 30, 4, 11 ] , [ 41, 39, 25, 12 ]
  44B16 240 1 48 0 0 [ 1, 22, 11, 23 ] , [ 1, 33, 33, 34 ] , [ 5, 32, 16, 41 ] , [ 21, 22, 11, 43 ] , [ 23, 0, 0, 23 ] , [ 23, 22, 33, 1 ] , [ 34, 11, 11, 1 ]
  44C16 360 1 36 0 0 [ 1, 22, 22, 1 ] , [ 7, 26, 2, 39 ] , [ 11, 14, 18, 35 ] , [ 23, 0, 0, 23 ] , [ 25, 16, 8, 21 ] , [ 27, 4, 24, 15 ] , [ 38, 15, 13, 4 ]
^ Level 45 Name Index  con   len   c2   c3  > SL(2,Z/45Z) Matrix Generators
  45A16 240 1 80 0 3 [ 16, 0, 0, 31 ] , [ 16, 0, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 43, 10 ] , [ 19, 33, 18, 10 ] , [ 31, 15, 5, 1 ] , [ 35, 33, 18, 26 ]
  45B16 270 1 15 18 0 [ 13, 24, 15, 7 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 26, 5, 5, 1 ] , [ 31, 0, 30, 16 ] , [ 31, 3, 36, 34 ] , [ 41, 30, 30, 11 ]
  45C16 270 1 90 6 0 [ 1, 15, 30, 1 ] , [ 1, 30, 15, 1 ] , [ 16, 33, 21, 4 ] , [ 19, 0, 0, 19 ] , [ 26, 30, 15, 26 ] , [ 28, 9, 0, 37 ] , [ 31, 0, 0, 16 ] , [ 36, 25, 5, 36 ]
  45D16 270 2 135 18 0 [ 3, 4, 20, 42 ] , [ 8, 29, 35, 37 ] , [ 16, 30, 30, 31 ] , [ 19, 0, 0, 19 ] , [ 31, 0, 30, 16 ] , [ 41, 30, 30, 11 ] , [ 43, 0, 33, 22 ]
  45E16 324 1 162 24 0 [ 4, 7, 4, 41 ] , [ 4, 15, 15, 34 ] , [ 16, 30, 30, 31 ] , [ 26, 40, 40, 1 ] , [ 28, 9, 9, 19 ] , [ 41, 30, 30, 11 ]
^ Level 48 Name Index  con   len   c2   c3  > SL(2,Z/48Z) Matrix Generators
  48A16 288 1 24 12 0 [ 1, 16, 16, 17 ] , [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 33, 16, 32, 33 ] , [ 36, 13, 11, 12 ] , [ 47, 0, 0, 47 ]
  48B16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 17, 0, 0, 17 ] , [ 32, 25, 7, 16 ] , [ 47, 0, 0, 47 ]
  48C16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 16, 25, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 32, 25, 7, 16 ] , [ 47, 0, 0, 47 ]
  48D16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ]
  48E16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 12, 12, 1 ] , [ 1, 24, 24, 1 ] , [ 16, 1, 31, 32 ] , [ 16, 25, 7, 20 ] , [ 17, 0, 0, 17 ] , [ 33, 32, 16, 33 ] , [ 47, 0, 0, 47 ]
  48F16 288 1 72 12 0 [ 1, 24, 24, 1 ] , [ 17, 0, 0, 17 ] , [ 24, 1, 47, 0 ] , [ 25, 24, 24, 25 ] , [ 32, 1, 31, 16 ] , [ 32, 33, 15, 32 ] , [ 36, 13, 11, 12 ] , [ 47, 0, 0, 47 ]
  48G16 288 1 72 12 0 [ 0, 13, 11, 0 ] , [ 1, 20, 20, 17 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 33, 32, 16, 33 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ]
  48H16 288 1 72 12 0 [ 0, 1, 47, 0 ] , [ 1, 24, 24, 1 ] , [ 13, 36, 12, 37 ] , [ 17, 0, 0, 17 ] , [ 25, 0, 0, 25 ] , [ 29, 16, 16, 37 ] , [ 45, 32, 16, 21 ] , [ 47, 0, 0, 47 ]
  48I16 288 2 72 12 0 [ 0, 13, 11, 0 ] , [ 16, 33, 15, 16 ] , [ 17, 0, 0, 17 ] , [ 17, 24, 24, 17 ] , [ 25, 0, 0, 25 ] , [ 28, 1, 31, 20 ] , [ 40, 17, 47, 32 ] , [ 47, 0, 0, 47 ]
  48J16 288 2 144 8 0 [ 1, 12, 12, 1 ] , [ 1, 24, 0, 1 ] , [ 1, 24, 24, 1 ] , [ 4, 17, 47, 32 ] , [ 24, 5, 19, 36 ] , [ 32, 1, 31, 16 ] , [ 41, 24, 24, 41 ] , [ 47, 0, 0, 47 ]
^ Level 50 Name Index  con   len   c2   c3  > SL(2,Z/50Z) Matrix Generators
  50A16 300 1 30 20 0 [ 1, 25, 25, 26 ] , [ 17, 28, 28, 5 ] , [ 21, 10, 10, 31 ] , [ 25, 32, 32, 47 ] , [ 37, 40, 37, 13 ] , [ 45, 28, 28, 33 ]
  50B16 300 1 30 20 0 [ 26, 25, 25, 1 ] , [ 31, 40, 40, 21 ] , [ 37, 15, 22, 13 ] , [ 37, 38, 48, 25 ] , [ 49, 0, 0, 49 ]
  50C16 300 1 30 20 0 [ 1, 25, 25, 26 ] , [ 17, 28, 8, 25 ] , [ 31, 40, 40, 21 ] , [ 33, 38, 45, 17 ] , [ 49, 0, 0, 49 ]
  50D16 300 1 30 20 0 [ 1, 25, 25, 26 ] , [ 39, 34, 4, 33 ] , [ 39, 48, 11, 11 ] , [ 41, 20, 20, 11 ] , [ 49, 0, 0, 49 ]
^ Level 52 Name Index  con   len   c2   c3  > SL(2,Z/52Z) Matrix Generators
  52A16 252 1 42 0 0 [ 11, 29, 30, 13 ] , [ 21, 18, 24, 33 ] , [ 23, 37, 44, 3 ] , [ 25, 0, 0, 25 ] , [ 25, 32, 8, 29 ] , [ 27, 26, 0, 27 ]
^ Level 54 Name Index  con   len   c2   c3  > SL(2,Z/54Z) Matrix Generators
  54A16 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 27, 27, 28 ] , [ 19, 0, 18, 37 ] , [ 31, 0, 18, 7 ] , [ 31, 18, 48, 7 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ]
  54B16 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 28, 27, 27, 1 ] , [ 35, 0, 36, 17 ] , [ 37, 0, 0, 19 ] , [ 37, 18, 42, 19 ] , [ 49, 12, 38, 49 ]
  54C16 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 42, 22, 43 ] , [ 28, 27, 27, 1 ] , [ 37, 18, 42, 19 ] , [ 53, 0, 0, 53 ]
  54D16 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 36, 48, 19 ] , [ 37, 42, 52, 43 ] , [ 53, 0, 0, 53 ]
  54E16 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 19, 36, 12, 37 ] , [ 25, 24, 40, 19 ] , [ 31, 0, 30, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ]
  54F16 216 1 12 0 0 [ 1, 0, 36, 1 ] , [ 13, 12, 44, 49 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 37, 36, 30, 19 ] , [ 43, 0, 30, 49 ]
  54G16 216 1 12 0 0 [ 1, 0, 18, 1 ] , [ 28, 27, 27, 1 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 18, 19 ] , [ 49, 36, 48, 43 ] , [ 53, 0, 0, 53 ]
  54H16 216 1 24 0 0 [ 1, 0, 18, 1 ] , [ 7, 45, 45, 4 ] , [ 19, 0, 0, 37 ] , [ 31, 27, 45, 34 ] , [ 40, 45, 15, 25 ] , [ 53, 0, 0, 53 ]
  54I16 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 19, 0, 18, 37 ] , [ 19, 45, 3, 10 ] , [ 25, 42, 52, 1 ] , [ 28, 45, 27, 1 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]
  54J16 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 19, 0, 0, 37 ] , [ 19, 3, 23, 52 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 43, 0, 24, 49 ] , [ 53, 0, 0, 53 ]
  54K16 216 1 24 0 0 [ 1, 0, 18, 1 ] , [ 16, 45, 9, 49 ] , [ 19, 0, 0, 37 ] , [ 28, 9, 9, 1 ] , [ 40, 45, 15, 25 ] , [ 53, 0, 0, 53 ]
  54L16 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 4, 27, 15, 7 ] , [ 17, 0, 18, 35 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 18, 37 ] , [ 37, 36, 30, 19 ] , [ 49, 15, 19, 40 ]
  54M16 216 1 24 0 0 [ 1, 0, 36, 1 ] , [ 16, 27, 51, 49 ] , [ 19, 0, 0, 37 ] , [ 19, 3, 23, 52 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 53, 0, 0, 53 ]
  54N16 216 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 27, 27, 28 ] , [ 1, 36, 48, 1 ] , [ 19, 0, 18, 37 ] , [ 25, 6, 14, 25 ] , [ 53, 0, 0, 53 ]
  54O16 216 1 72 0 0 [ 1, 18, 24, 1 ] , [ 10, 9, 15, 19 ] , [ 16, 21, 49, 7 ] , [ 19, 0, 0, 37 ] , [ 19, 0, 36, 37 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]
  54P16 216 2 24 0 0 [ 1, 0, 36, 1 ] , [ 16, 27, 51, 49 ] , [ 19, 0, 0, 37 ] , [ 19, 36, 12, 37 ] , [ 37, 0, 18, 19 ] , [ 46, 3, 23, 25 ] , [ 53, 0, 0, 53 ]
  54Q16 324 1 18 36 0 [ 19, 36, 36, 37 ] , [ 27, 28, 53, 27 ] , [ 35, 18, 18, 17 ] , [ 37, 0, 0, 19 ] , [ 37, 9, 9, 46 ] , [ 49, 0, 0, 43 ]
  54R16 324 1 36 0 0 [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 17, 0, 0, 35 ] , [ 19, 0, 30, 37 ] , [ 25, 36, 40, 49 ] , [ 37, 0, 0, 19 ] , [ 37, 0, 6, 19 ]
  54S16 324 1 36 0 0 [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 18, 26, 37 ] , [ 17, 0, 0, 35 ] , [ 37, 0, 36, 19 ]
  54T16 324 1 36 0 0 [ 1, 0, 18, 1 ] , [ 1, 0, 27, 1 ] , [ 13, 0, 12, 25 ] , [ 31, 0, 0, 7 ] , [ 37, 0, 36, 19 ] , [ 53, 0, 0, 53 ]
  54U16 324 1 108 0 0 [ 1, 0, 6, 1 ] , [ 1, 0, 27, 1 ] , [ 1, 0, 36, 1 ] , [ 25, 6, 16, 19 ] , [ 37, 0, 0, 19 ] , [ 53, 0, 42, 53 ]
  54V16 324 2 9 36 0 [ 1, 27, 27, 28 ] , [ 1, 52, 1, 53 ] , [ 13, 6, 6, 7 ] , [ 37, 18, 18, 19 ] , [ 37, 36, 0, 19 ] , [ 53, 0, 0, 53 ]
^ Level 55 Name Index  con   len   c2   c3  > SL(2,Z/55Z) Matrix Generators
  55A16 220 2 110 0 4 [ 19, 5, 25, 24 ] , [ 21, 0, 0, 21 ] , [ 29, 25, 20, 4 ] , [ 34, 0, 0, 34 ] , [ 34, 11, 44, 45 ]
^ Level 56 Name Index  con   len   c2   c3  > SL(2,Z/56Z) Matrix Generators
  56A16 252 1 126 0 0 [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 15, 0, 42, 15 ] , [ 21, 44, 24, 21 ] , [ 29, 0, 28, 29 ] , [ 29, 4, 24, 13 ] , [ 29, 28, 21, 1 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ]
  56B16 252 1 126 0 0 [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 1, 0, 49, 1 ] , [ 1, 32, 24, 41 ] , [ 15, 0, 42, 15 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ]
  56C16 252 2 63 12 0 [ 1, 14, 49, 15 ] , [ 1, 28, 42, 1 ] , [ 1, 40, 50, 41 ] , [ 15, 0, 0, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 28, 29 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ]
  56D16 252 2 126 0 0 [ 1, 0, 28, 1 ] , [ 1, 0, 42, 1 ] , [ 15, 0, 42, 15 ] , [ 29, 0, 28, 29 ] , [ 29, 4, 24, 13 ] , [ 29, 28, 21, 1 ] , [ 33, 8, 16, 9 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 49 ]
  56E16 288 1 24 0 0 [ 3, 41, 44, 23 ] , [ 9, 8, 12, 17 ] , [ 9, 40, 32, 49 ] , [ 19, 48, 44, 11 ] , [ 29, 28, 0, 29 ] , [ 33, 20, 16, 25 ] , [ 33, 48, 16, 25 ] , [ 45, 10, 8, 13 ]
  56F16 288 1 48 0 0 [ 1, 28, 0, 1 ] , [ 1, 42, 0, 1 ] , [ 17, 24, 8, 41 ] , [ 25, 8, 40, 33 ] , [ 29, 0, 0, 29 ] , [ 29, 3, 50, 11 ] , [ 29, 28, 0, 29 ] , [ 39, 36, 40, 47 ] , [ 41, 0, 0, 41 ] , [ 49, 16, 24, 9 ]
^ Level 57 Name Index  con   len   c2   c3  > SL(2,Z/57Z) Matrix Generators
  57A16 228 2 228 0 3 [ 17, 20, 12, 41 ] , [ 20, 0, 0, 20 ] , [ 20, 38, 0, 20 ] , [ 31, 42, 54, 7 ] , [ 37, 0, 0, 37 ]
^ Level 60 Name Index  con   len   c2   c3  > SL(2,Z/60Z) Matrix Generators
  60A16 240 1 60 0 0 [ 1, 0, 30, 1 ] , [ 1, 24, 12, 49 ] , [ 1, 30, 30, 1 ] , [ 13, 12, 0, 37 ] , [ 13, 48, 24, 1 ] , [ 21, 20, 40, 41 ] , [ 31, 20, 10, 51 ] , [ 49, 0, 0, 49 ]
  60B16 240 1 120 0 0 [ 1, 0, 30, 1 ] , [ 11, 40, 35, 51 ] , [ 13, 12, 0, 37 ] , [ 21, 40, 5, 1 ] , [ 25, 36, 24, 49 ] , [ 41, 40, 20, 21 ] , [ 49, 0, 0, 49 ] , [ 49, 36, 48, 1 ]
  60C16 240 2 240 8 3 [ 16, 15, 45, 16 ] , [ 26, 15, 15, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 53, 40, 28, 37 ] , [ 53, 44, 20, 37 ] , [ 57, 4, 8, 49 ]
  60D16 270 1 15 18 0 [ 1, 0, 30, 1 ] , [ 1, 20, 20, 41 ] , [ 7, 36, 30, 43 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 59, 22, 49, 1 ] , [ 59, 52, 4, 31 ]
  60E16 270 1 45 12 0 [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 20, 20, 41 ] , [ 7, 36, 30, 43 ] , [ 31, 0, 30, 31 ] , [ 39, 22, 14, 51 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ]
  60F16 270 1 45 12 0 [ 1, 0, 30, 1 ] , [ 1, 0, 45, 1 ] , [ 1, 20, 20, 41 ] , [ 17, 10, 52, 13 ] , [ 31, 0, 30, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 59, 52, 4, 31 ]
^ Level 61 Name Index  con   len   c2   c3  > SL(2,Z/61Z) Matrix Generators
  61A16 310 1 62 10 10 [ 12, 35, 60, 48 ] , [ 21, 32, 18, 42 ] , [ 27, 50, 22, 34 ] , [ 43, 53, 20, 19 ] , [ 51, 19, 45, 12 ] , [ 53, 10, 59, 10 ] , [ 60, 0, 0, 60 ]
^ Level 62 Name Index  con   len   c2   c3  > SL(2,Z/62Z) Matrix Generators
  62A16 320 1 32 0 20 [ 7, 16, 10, 23 ] , [ 32, 31, 31, 1 ] , [ 33, 8, 58, 31 ] , [ 46, 19, 37, 49 ] , [ 47, 21, 49, 14 ] , [ 61, 0, 0, 61 ]
^ Level 63 Name Index  con   len   c2   c3  > SL(2,Z/63Z) Matrix Generators
  63A16 216 1 72 0 0 [ 1, 0, 18, 1 ] , [ 1, 28, 7, 8 ] , [ 8, 0, 0, 8 ] , [ 8, 21, 42, 8 ] , [ 8, 56, 14, 43 ] , [ 36, 35, 37, 57 ] , [ 43, 0, 21, 22 ] , [ 43, 42, 42, 22 ] , [ 55, 0, 9, 55 ]
  63B16 216 1 216 0 0 [ 1, 0, 9, 1 ] , [ 8, 0, 0, 8 ] , [ 15, 35, 28, 57 ] , [ 22, 7, 28, 29 ] , [ 22, 14, 56, 50 ] , [ 22, 21, 21, 43 ] , [ 43, 42, 42, 22 ] , [ 46, 0, 0, 37 ] , [ 62, 56, 35, 55 ]
  63C16 252 1 84 0 0 [ 2, 2, 22, 54 ] , [ 15, 35, 49, 1 ] , [ 19, 45, 54, 55 ] , [ 22, 21, 0, 43 ] , [ 22, 42, 21, 43 ] , [ 28, 45, 9, 28 ] , [ 37, 9, 36, 19 ] , [ 47, 59, 61, 27 ] , [ 48, 53, 16, 40 ] , [ 55, 0, 0, 55 ]
  63D16 252 2 126 8 0 [ 1, 0, 42, 1 ] , [ 10, 36, 18, 46 ] , [ 20, 42, 42, 41 ] , [ 28, 9, 45, 1 ] , [ 28, 36, 27, 55 ] , [ 28, 45, 9, 28 ] , [ 28, 54, 18, 55 ] , [ 43, 21, 0, 22 ] , [ 46, 27, 45, 10 ] , [ 55, 0, 0, 55 ] , [ 62, 31, 25, 43 ]
  63E16 252 2 252 8 0 [ 1, 0, 21, 1 ] , [ 7, 36, 6, 13 ] , [ 7, 36, 48, 13 ] , [ 10, 36, 18, 46 ] , [ 22, 42, 0, 43 ] , [ 28, 15, 48, 55 ] , [ 28, 18, 54, 28 ] , [ 43, 11, 59, 62 ] , [ 50, 21, 21, 29 ] , [ 55, 0, 0, 55 ]
  63F16 288 2 32 0 9 [ 1, 0, 45, 1 ] , [ 22, 0, 0, 43 ] , [ 37, 42, 31, 25 ] , [ 43, 0, 42, 22 ] , [ 50, 0, 21, 29 ] , [ 55, 0, 0, 55 ]
^ Level 66 Name Index  con   len   c2   c3  > SL(2,Z/66Z) Matrix Generators
  66A16 198 2 11 0 0 [ 1, 22, 22, 23 ] , [ 1, 44, 44, 23 ] , [ 11, 58, 40, 55 ] , [ 13, 32, 44, 17 ] , [ 23, 0, 0, 23 ] , [ 65, 0, 0, 65 ]
  66B16 216 1 12 0 0 [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 35, 24, 6, 23 ] , [ 43, 0, 0, 43 ] , [ 45, 44, 22, 45 ] , [ 61, 48, 24, 7 ] , [ 65, 0, 0, 65 ] , [ 65, 22, 22, 43 ]
  66C16 216 1 108 0 0 [ 12, 11, 55, 12 ] , [ 23, 0, 0, 23 ] , [ 31, 48, 42, 31 ] , [ 32, 55, 55, 10 ] , [ 34, 11, 11, 56 ] , [ 35, 24, 6, 23 ] , [ 56, 55, 55, 34 ] , [ 61, 48, 24, 7 ]
^ Level 70 Name Index  con   len   c2   c3  > SL(2,Z/70Z) Matrix Generators
  70A16 210 2 105 2 0 [ 1, 0, 35, 1 ] , [ 1, 14, 42, 29 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 51, 0, 30, 11 ] , [ 51, 40, 20, 61 ]
  70B16 210 2 105 4 0 [ 26, 25, 65, 6 ] , [ 29, 0, 0, 29 ] , [ 29, 14, 56, 15 ] , [ 29, 56, 28, 1 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 30, 1 ] , [ 43, 42, 0, 57 ] , [ 51, 40, 20, 61 ]
  70C16 210 2 105 4 0 [ 1, 14, 42, 29 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 43, 0, 56, 57 ] , [ 43, 28, 14, 1 ] , [ 51, 0, 30, 11 ] , [ 51, 30, 15, 61 ] , [ 51, 40, 20, 61 ]
  70D16 240 1 80 0 6 [ 1, 0, 20, 1 ] , [ 25, 28, 58, 9 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 28, 1 ] , [ 41, 0, 40, 41 ] , [ 43, 0, 56, 57 ] , [ 64, 7, 7, 15 ]
  70E16 240 1 80 0 6 [ 1, 0, 20, 1 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 28, 1 ] , [ 39, 42, 2, 65 ] , [ 41, 0, 40, 41 ] , [ 43, 0, 56, 57 ] , [ 50, 63, 63, 29 ]
  70F16 252 2 126 8 0 [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 29, 56, 21, 43 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 43, 22, 40, 27 ] , [ 57, 42, 42, 15 ]
  70G16 252 2 126 12 0 [ 16, 15, 45, 16 ] , [ 21, 60, 40, 21 ] , [ 29, 0, 0, 29 ] , [ 36, 35, 35, 1 ] , [ 41, 0, 0, 41 ] , [ 46, 15, 25, 66 ] , [ 46, 41, 3, 24 ] , [ 57, 42, 42, 15 ]
  70H16 252 2 126 12 0 [ 1, 50, 40, 41 ] , [ 21, 10, 30, 21 ] , [ 29, 0, 0, 29 ] , [ 31, 0, 30, 61 ] , [ 31, 20, 10, 11 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 63, 43 ] , [ 57, 42, 42, 15 ]
^ Level 72 Name Index  con   len   c2   c3  > SL(2,Z/72Z) Matrix Generators
  72A16 216 1 27 0 0 [ 1, 18, 0, 1 ] , [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 40, 56, 9 ] , [ 65, 48, 0, 41 ]
  72B16 216 1 27 0 0 [ 1, 36, 0, 1 ] , [ 19, 36, 0, 19 ] , [ 25, 64, 40, 65 ] , [ 29, 6, 24, 5 ] , [ 33, 56, 4, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 65, 48, 0, 41 ]
  72C16 216 1 54 0 0 [ 1, 36, 0, 1 ] , [ 5, 14, 20, 13 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 29, 6, 24, 5 ] , [ 33, 47, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 24, 24, 25 ] , [ 49, 52, 4, 41 ] , [ 65, 48, 0, 41 ]
  72D16 216 1 54 0 0 [ 1, 36, 0, 1 ] , [ 19, 18, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 29, 6, 24, 5 ] , [ 33, 47, 40, 33 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 16, 40, 41 ] , [ 49, 24, 24, 25 ] , [ 49, 52, 40, 41 ] , [ 65, 48, 0, 41 ]
  72E16 216 1 108 0 0 [ 1, 9, 36, 37 ] , [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 40, 56, 9 ] , [ 65, 48, 0, 41 ]
  72F16 216 1 108 0 0 [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 40, 16, 41 ] , [ 57, 31, 20, 45 ] , [ 57, 58, 56, 9 ] , [ 65, 48, 0, 41 ]
  72G16 216 1 108 0 0 [ 1, 36, 0, 1 ] , [ 19, 36, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ]
  72H16 216 1 108 0 0 [ 1, 36, 0, 1 ] , [ 19, 36, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 8, 49 ] , [ 49, 24, 24, 25 ] , [ 55, 18, 36, 55 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 52, 49 ]
  72I16 216 2 27 0 0 [ 1, 24, 48, 1 ] , [ 1, 36, 0, 1 ] , [ 9, 68, 16, 57 ] , [ 17, 24, 48, 17 ] , [ 17, 48, 24, 17 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 44, 65 ] , [ 29, 4, 28, 61 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 55, 0, 0, 55 ]
  72J16 216 2 54 0 0 [ 1, 36, 0, 1 ] , [ 7, 12, 48, 31 ] , [ 9, 29, 4, 45 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 43, 68, 44, 11 ] , [ 49, 24, 24, 25 ] , [ 55, 20, 68, 47 ] , [ 55, 56, 68, 47 ] , [ 65, 24, 24, 41 ]
  72K16 216 2 54 0 0 [ 1, 36, 0, 1 ] , [ 9, 29, 40, 9 ] , [ 9, 65, 40, 9 ] , [ 17, 16, 40, 25 ] , [ 19, 36, 0, 19 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 45, 41, 16, 21 ] , [ 49, 24, 24, 25 ] , [ 55, 20, 32, 47 ] , [ 65, 24, 24, 41 ]
  72L16 216 2 54 4 0 [ 0, 35, 37, 36 ] , [ 1, 36, 36, 1 ] , [ 9, 44, 64, 9 ] , [ 25, 0, 24, 49 ] , [ 25, 32, 32, 41 ] , [ 37, 36, 36, 37 ] , [ 49, 48, 0, 25 ] , [ 55, 36, 36, 55 ] , [ 65, 24, 24, 41 ]
  72M16 216 2 54 4 0 [ 1, 9, 54, 55 ] , [ 1, 20, 32, 65 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 17, 2, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 63, 62, 64, 15 ]
  72N16 216 2 54 4 0 [ 1, 9, 54, 55 ] , [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 5, 10, 52, 61 ] , [ 13, 16, 4, 5 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 63, 62, 64, 15 ]
  72O16 216 2 54 4 0 [ 1, 36, 0, 1 ] , [ 1, 48, 24, 1 ] , [ 5, 10, 52, 61 ] , [ 17, 2, 8, 1 ] , [ 19, 36, 0, 19 ] , [ 23, 24, 0, 47 ] , [ 25, 0, 24, 49 ] , [ 25, 48, 48, 49 ] , [ 27, 4, 20, 51 ] , [ 37, 36, 0, 37 ] , [ 41, 0, 24, 65 ] , [ 41, 51, 18, 47 ]
  72P16 216 2 108 0 0 [ 1, 36, 0, 1 ] , [ 19, 54, 0, 19 ] , [ 25, 48, 48, 49 ] , [ 37, 18, 0, 37 ] , [ 37, 54, 0, 37 ] , [ 49, 0, 48, 25 ] , [ 49, 31, 52, 5 ] , [ 49, 32, 8, 17 ] , [ 49, 58, 16, 41 ] , [ 65, 48, 0, 41 ]
  72Q16 216 2 108 0 0 [ 1, 36, 0, 1 ] , [ 5, 26, 8, 13 ] , [ 23, 26, 44, 31 ] , [ 25, 0, 24, 49 ] , [ 37, 36, 36, 37 ] , [ 41, 8, 44, 49 ] , [ 49, 24, 24, 25 ] , [ 59, 44, 8, 67 ] , [ 65, 24, 24, 41 ] , [ 65, 64, 16, 49 ]
  72R16 216 2 108 4 0 [ 1, 18, 36, 1 ] , [ 1, 36, 0, 1 ] , [ 11, 6, 60, 59 ] , [ 17, 36, 36, 17 ] , [ 19, 5, 62, 5 ] , [ 25, 48, 48, 49 ] , [ 37, 36, 0, 37 ] , [ 41, 48, 12, 65 ] , [ 43, 37, 4, 47 ] , [ 49, 0, 48, 25 ]
  72S16 216 2 108 4 0 [ 1, 36, 0, 1 ] , [ 7, 59, 26, 65 ] , [ 17, 24, 12, 17 ] , [ 19, 0, 36, 19 ] , [ 25, 0, 24, 49 ] , [ 25, 40, 46, 65 ] , [ 25, 48, 48, 49 ] , [ 35, 42, 12, 35 ] , [ 37, 36, 0, 37 ] , [ 47, 24, 24, 23 ] , [ 49, 36, 48, 25 ] , [ 65, 56, 2, 25 ]
^ Level 74 Name Index  con   len   c2   c3  > SL(2,Z/74Z) Matrix Generators
  74A16 228 1 114 0 0 [ 1, 0, 37, 1 ] , [ 7, 20, 0, 53 ] , [ 9, 36, 52, 19 ] , [ 13, 72, 72, 63 ] , [ 47, 52, 0, 63 ]
  74B16 228 1 114 4 0 [ 7, 20, 0, 53 ] , [ 9, 36, 52, 19 ] , [ 13, 72, 72, 63 ] , [ 19, 24, 47, 1 ] , [ 47, 52, 0, 63 ]
^ Level 76 Name Index  con   len   c2   c3  > SL(2,Z/76Z) Matrix Generators
  76A16 240 1 60 0 0 [ 1, 0, 38, 1 ] , [ 21, 48, 36, 57 ] , [ 29, 52, 20, 49 ] , [ 33, 22, 72, 25 ] , [ 41, 16, 28, 61 ] , [ 53, 64, 48, 25 ] , [ 55, 46, 6, 23 ] , [ 61, 8, 52, 33 ]
  76B16 240 1 80 0 6 [ 1, 38, 19, 39 ] , [ 1, 57, 57, 58 ] , [ 5, 44, 44, 53 ] , [ 39, 0, 0, 39 ] , [ 45, 60, 64, 33 ] , [ 69, 48, 28, 25 ]
  76C16 240 1 120 0 0 [ 1, 0, 38, 1 ] , [ 9, 4, 60, 69 ] , [ 17, 8, 44, 61 ] , [ 21, 48, 36, 57 ] , [ 25, 4, 44, 1 ] , [ 31, 72, 35, 47 ] , [ 33, 16, 12, 45 ] , [ 49, 0, 68, 45 ] , [ 53, 16, 47, 73 ]
^ Level 78 Name Index  con   len   c2   c3  > SL(2,Z/78Z) Matrix Generators
  78A16 252 1 42 12 0 [ 1, 26, 65, 53 ] , [ 1, 39, 39, 40 ] , [ 1, 52, 13, 53 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 55, 54, 21, 49 ] , [ 73, 18, 24, 7 ]
  78B16 252 1 42 12 0 [ 1, 54, 27, 55 ] , [ 7, 34, 28, 47 ] , [ 15, 10, 74, 39 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 77, 6, 60, 29 ]
  78C16 252 1 126 8 0 [ 13, 42, 69, 67 ] , [ 13, 70, 70, 17 ] , [ 19, 24, 6, 61 ] , [ 55, 60, 30, 37 ] , [ 55, 72, 18, 25 ] , [ 67, 60, 30, 49 ] , [ 75, 40, 56, 33 ] , [ 77, 6, 60, 29 ]
  78D16 252 2 28 0 9 [ 1, 52, 52, 53 ] , [ 25, 0, 0, 25 ] , [ 25, 6, 60, 55 ] , [ 43, 42, 42, 61 ] , [ 53, 0, 0, 53 ] , [ 53, 52, 52, 1 ] , [ 67, 47, 69, 10 ]
  78E16 252 2 42 12 0 [ 1, 6, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 27, 52, 26, 27 ] , [ 31, 66, 36, 49 ] , [ 53, 0, 0, 53 ] , [ 53, 26, 26, 1 ] , [ 55, 54, 21, 49 ]
^ Level 80 Name Index  con   len   c2   c3  > SL(2,Z/80Z) Matrix Generators
  80A16 240 1 15 0 0 [ 11, 30, 50, 71 ] , [ 17, 48, 16, 17 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 32, 17 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 60, 41 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 71, 60, 20, 71 ]
  80B16 240 1 60 0 0 [ 6, 55, 65, 76 ] , [ 11, 30, 50, 71 ] , [ 17, 32, 64, 17 ] , [ 21, 60, 20, 61 ] , [ 33, 0, 32, 17 ] , [ 36, 15, 25, 26 ] , [ 41, 40, 40, 41 ] , [ 49, 0, 0, 49 ] , [ 49, 48, 16, 1 ] , [ 61, 60, 20, 21 ]
^ Level 81 Name Index  con   len   c2   c3  > SL(2,Z/81Z) Matrix Generators
  81A16 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 ] , [ 58, 27, 27, 7 ] , [ 80, 0, 0, 80 ]
  81B16 324 1 36 0 0 [ 1, 0, 27, 1 ] , [ 1, 0, 63, 1 ] , [ 28, 0, 0, 55 ] , [ 61, 36, 4, 13 ] , [ 61, 36, 19, 67 ] , [ 73, 27, 30, 10 ] , [ 80, 0, 0, 80 ]
^ Level 84 Name Index  con   len   c2   c3  > SL(2,Z/84Z) Matrix Generators
  84A16 252 2 42 18 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ]
  84B16 252 2 42 18 0 [ 13, 0, 0, 13 ] , [ 13, 48, 36, 49 ] , [ 15, 7, 14, 57 ] , [ 29, 0, 0, 29 ] , [ 29, 28, 28, 1 ] , [ 37, 24, 36, 37 ] , [ 49, 12, 60, 49 ] , [ 57, 56, 28, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ]
  84C16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 15, 14, 7, 57 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ]
  84D16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 43, 14, 14, 71 ] , [ 45, 68, 40, 81 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ] , [ 71, 70, 7, 1 ]
  84E16 252 2 63 12 0 [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 15, 14, 7, 57 ] , [ 15, 14, 70, 15 ] , [ 25, 60, 36, 73 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 37, 48, 12, 61 ] , [ 59, 26, 47, 25 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ]
  84F16 252 2 63 16 0 [ 1, 0, 42, 1 ] , [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ]
  84G16 252 2 63 16 0 [ 1, 28, 28, 29 ] , [ 13, 0, 0, 13 ] , [ 15, 14, 70, 15 ] , [ 29, 0, 0, 29 ] , [ 29, 0, 42, 29 ] , [ 47, 58, 67, 13 ] , [ 49, 24, 72, 13 ] , [ 49, 72, 24, 49 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 0, 42, 71 ]
  84H16 252 2 63 16 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 ] , [ 47, 58, 67, 13 ] , [ 55, 54, 66, 19 ]
  84I16 252 2 126 18 0 [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 33, 44, 46, 69 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ]
  84J16 252 2 126 18 0 [ 1, 56, 14, 29 ] , [ 13, 0, 0, 13 ] , [ 13, 60, 12, 49 ] , [ 29, 0, 0, 29 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 56, 57 ] , [ 61, 36, 72, 37 ] , [ 61, 72, 60, 13 ] , [ 71, 0, 0, 71 ] , [ 71, 14, 35, 1 ]
  84K16 288 2 16 0 18 [ 1, 42, 42, 1 ] , [ 1, 56, 56, 29 ] , [ 13, 3, 23, 70 ] , [ 29, 0, 0, 29 ] , [ 43, 42, 0, 43 ] , [ 57, 56, 28, 57 ] , [ 61, 48, 72, 25 ] , [ 73, 48, 30, 37 ]
^ Level 90 Name Index  con   len   c2   c3  > SL(2,Z/90Z) Matrix Generators
  90A16 240 1 80 0 3 [ 1, 0, 10, 1 ] , [ 19, 0, 0, 19 ] , [ 19, 18, 18, 55 ] , [ 61, 0, 0, 31 ] , [ 61, 0, 30, 31 ] , [ 73, 36, 0, 37 ] , [ 76, 75, 75, 61 ] , [ 89, 0, 0, 89 ]
  90B16 270 2 45 24 0 [ 1, 45, 45, 46 ] , [ 6, 13, 11, 54 ] , [ 13, 69, 15, 52 ] , [ 31, 0, 30, 61 ] , [ 41, 30, 30, 11 ] , [ 61, 30, 30, 31 ] , [ 64, 45, 45, 19 ] , [ 76, 3, 81, 79 ] , [ 86, 23, 11, 4 ]
^ Level 96 Name Index  con   len   c2   c3  > SL(2,Z/96Z) Matrix Generators
  96A16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 66, 1 ] , [ 7, 14, 59, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ]
  96B16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 14, 59, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 14, 41, 73 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ]
  96C16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 1, 0, 66, 1 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ]
  96D16 288 1 72 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 33, 32, 64, 33 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 65, 0, 0, 65 ] , [ 71, 14, 41, 73 ] , [ 71, 62, 11, 61 ] , [ 85, 72, 24, 61 ]
  96E16 288 2 144 8 0 [ 1, 0, 24, 1 ] , [ 1, 0, 36, 1 ] , [ 1, 0, 48, 1 ] , [ 7, 46, 91, 77 ] , [ 11, 24, 60, 35 ] , [ 25, 48, 48, 73 ] , [ 41, 0, 24, 89 ] , [ 49, 0, 0, 49 ] , [ 49, 0, 48, 49 ] , [ 71, 14, 41, 73 ] , [ 79, 38, 35, 29 ] , [ 85, 72, 24, 61 ]
^ Level 101 Name Index  con   len   c2   c3  > SL(2,Z/101Z) Matrix Generators
  101A16 204 1 102 0 0 [ 23, 30, 53, 56 ] , [ 48, 53, 86, 55 ] , [ 65, 81, 32, 43 ] , [ 99, 47, 46, 80 ]
^ Level 105 Name Index  con   len   c2   c3  > SL(2,Z/105Z) Matrix Generators
  105A16 210 2 35 6 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, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ]
  105B16 210 2 105 6 0 [ 1, 35, 35, 71 ] , [ 16, 30, 15, 61 ] , [ 43, 42, 21, 1 ] , [ 46, 90, 45, 31 ] , [ 64, 0, 0, 64 ] , [ 71, 0, 0, 71 ] , [ 76, 0, 0, 76 ] , [ 76, 45, 60, 1 ] , [ 76, 90, 15, 91 ] , [ 85, 42, 42, 85 ] , [ 85, 84, 21, 85 ]
  105C16 252 2 126 16 0 [ 1, 0, 63, 1 ] , [ 1, 70, 70, 71 ] , [ 13, 10, 4, 92 ] , [ 36, 80, 40, 51 ] , [ 61, 75, 90, 16 ] , [ 71, 0, 0, 71 ] , [ 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
  108A16 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 37, 0, 0, 73 ] , [ 37, 36, 48, 73 ] , [ 37, 96, 52, 97 ] , [ 55, 0, 54, 55 ] , [ 85, 0, 0, 61 ] , [ 107, 0, 0, 107 ]
  108B16 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 13, 12, 44, 49 ] , [ 37, 36, 84, 73 ] , [ 55, 0, 54, 55 ] , [ 71, 0, 18, 35 ] , [ 73, 0, 0, 37 ] , [ 73, 0, 72, 37 ] , [ 97, 0, 84, 49 ]
  108C16 216 1 36 0 0 [ 1, 0, 36, 1 ] , [ 1, 0, 54, 1 ] , [ 1, 0, 81, 1 ] , [ 25, 24, 40, 73 ] , [ 37, 0, 0, 73 ] , [ 37, 0, 72, 73 ] , [ 55, 0, 54, 55 ] , [ 73, 36, 12, 37 ] , [ 85, 0, 84, 61 ] , [ 107, 0, 0, 107 ]
^ Level 109 Name Index  con   len   c2   c3  > SL(2,Z/109Z) Matrix Generators
  109A16 220 1 110 0 4 [ 7, 86, 87, 88 ] , [ 71, 93, 70, 61 ] , [ 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
  111A16 228 1 114 8 0 [ 1, 37, 37, 38 ] , [ 10, 33, 51, 13 ] , [ 38, 0, 0, 38 ] , [ 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
  112A16 224 2 28 0 8 [ 1, 56, 56, 1 ] , [ 43, 28, 56, 99 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 57, 91, 63, 22 ] , [ 65, 0, 32, 81 ] , [ 65, 48, 96, 33 ] , [ 65, 68, 52, 1 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ]
  112B16 224 2 28 0 8 [ 1, 56, 56, 1 ] , [ 43, 28, 56, 99 ] , [ 49, 96, 32, 49 ] , [ 57, 0, 56, 57 ] , [ 57, 28, 28, 57 ] , [ 57, 91, 63, 22 ] , [ 65, 0, 32, 81 ] , [ 65, 48, 96, 33 ] , [ 65, 96, 80, 1 ] , [ 85, 56, 84, 29 ] , [ 97, 0, 0, 97 ]
^ Level 117 Name Index  con   len   c2   c3  > SL(2,Z/117Z) Matrix Generators
  117A16 252 2 126 16 0 [ 1, 72, 72, 37 ] , [ 14, 0, 0, 92 ] , [ 25, 45, 45, 67 ] , [ 40, 78, 78, 79 ] , [ 78, 70, 5, 48 ] , [ 79, 0, 0, 40 ] , [ 82, 9, 90, 37 ] , [ 91, 109, 70, 35 ]
^ Level 120 Name Index  con   len   c2   c3  > SL(2,Z/120Z) Matrix Generators
  120A16 240 1 40 0 12 [ 1, 20, 20, 41 ] , [ 1, 60, 60, 1 ] , [ 19, 24, 36, 115 ] , [ 25, 96, 24, 49 ] , [ 41, 0, 0, 41 ] , [ 41, 20, 20, 1 ] , [ 49, 0, 0, 49 ] , [ 61, 60, 0, 61 ] , [ 66, 115, 35, 101 ] , [ 73, 0, 48, 97 ] , [ 97, 96, 0, 73 ]
  120B16 240 1 60 0 0 [ 1, 60, 0, 1 ] , [ 1, 80, 0, 1 ] , [ 41, 15, 60, 101 ] , [ 49, 0, 0, 49 ] , [ 49, 96, 24, 25 ] , [ 61, 30, 0, 61 ] , [ 61, 60, 0, 61 ] , [ 71, 15, 0, 71 ] , [ 73, 0, 72, 97 ] , [ 89, 108, 36, 41 ] , [ 97, 24, 0, 73 ]
  120C16 240 1 120 0 12 [ 1, 48, 96, 49 ] , [ 16, 45, 115, 31 ] , [ 31, 0, 60, 31 ] , [ 49, 0, 0, 49 ] , [ 61, 0, 60, 61 ] , [ 61, 60, 0, 61 ] , [ 91, 50, 20, 11 ] , [ 91, 100, 10, 11 ] , [ 97, 72, 24, 97 ] , [ 97, 96, 0, 73 ] , [ 101, 0, 0, 101 ]
  120D16 240 2 20 0 12 [ 1, 40, 40, 41 ] , [ 1, 60, 60, 1 ] , [ 25, 96, 64, 49 ] , [ 31, 60, 60, 31 ] , [ 41, 0, 0, 41 ] , [ 49, 0, 0, 49 ] , [ 61, 45, 45, 106 ] , [ 61, 60, 0, 61 ] , [ 73, 0, 48, 97 ] , [ 81, 40, 80, 81 ] , [ 97, 96, 0, 73 ]
  120E16 240 2 80 12 3 [ 1, 40, 40, 41 ] , [ 1, 72, 24, 49 ] , [ 1, 80, 80, 41 ] , [ 31, 0, 0, 31 ] , [ 41, 0, 0, 41 ] , [ 41, 105, 45, 86 ] , [ 49, 0, 0, 49 ] , [ 73, 0, 72, 97 ] , [ 73, 24, 8, 1 ] , [ 76, 15, 105, 76 ] , [ 109, 0, 0, 109 ]
^ Level 125 Name Index  con   len   c2   c3  > SL(2,Z/125Z) Matrix Generators
  125A16 300 1 30 0 0 [ 11, 35, 80, 16 ] , [ 41, 0, 60, 61 ] , [ 51, 100, 100, 76 ] , [ 61, 20, 70, 66 ] , [ 76, 0, 50, 51 ] , [ 84, 10, 5, 14 ] , [ 88, 79, 64, 39 ]
^ Level 126 Name Index  con   len   c2   c3  > SL(2,Z/126Z) Matrix Generators
  126A16 252 2 63 20 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 113, 26, 71 ] , [ 55, 0, 0, 55 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 85, 42, 42, 43 ] , [ 113, 84, 84, 29 ]
  126B16 252 2 63 20 0 [ 1, 18, 108, 55 ] , [ 1, 54, 36, 55 ] , [ 1, 63, 63, 64 ] , [ 13, 113, 89, 8 ] , [ 55, 0, 0, 55 ] , [ 57, 28, 35, 15 ] , [ 73, 54, 108, 73 ] , [ 85, 0, 0, 43 ] , [ 85, 42, 42, 43 ] , [ 113, 84, 84, 29 ]
  126C16 252 2 126 20 0 [ 22, 21, 21, 43 ] , [ 31, 114, 18, 115 ] , [ 34, 41, 65, 8 ] , [ 43, 0, 0, 85 ] , [ 43, 42, 42, 85 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 59, 114, 102, 101 ] , [ 108, 103, 101, 24 ]
  126D16 252 2 126 20 0 [ 1, 84, 42, 1 ] , [ 17, 54, 24, 17 ] , [ 31, 72, 18, 115 ] , [ 34, 41, 65, 8 ] , [ 38, 107, 53, 10 ] , [ 43, 105, 63, 22 ] , [ 55, 0, 0, 55 ] , [ 55, 72, 90, 1 ] , [ 55, 108, 18, 1 ] , [ 85, 84, 0, 43 ]
^ Level 130 Name Index  con   len   c2   c3  > SL(2,Z/130Z) Matrix Generators
  130A16 210 1 210 2 0 [ 1, 0, 65, 1 ] , [ 1, 30, 110, 51 ] , [ 27, 78, 26, 27 ] , [ 51, 0, 0, 51 ] , [ 51, 120, 120, 81 ] , [ 53, 0, 52, 27 ] , [ 53, 26, 0, 27 ] , [ 79, 0, 0, 79 ] , [ 111, 120, 20, 31 ]
^ Level 132 Name Index  con   len   c2   c3  > SL(2,Z/132Z) Matrix Generators
  132A16 198 2 33 0 0 [ 1, 66, 66, 1 ] , [ 56, 121, 55, 34 ] , [ 64, 85, 31, 2 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 22, 22, 1 ] , [ 89, 44, 44, 1 ] , [ 109, 0, 0, 109 ] , [ 116, 81, 39, 50 ]
  132B16 216 1 36 0 0 [ 1, 0, 66, 1 ] , [ 1, 44, 44, 89 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 0, 99, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ]
  132C16 216 1 108 0 0 [ 1, 0, 66, 1 ] , [ 25, 72, 108, 121 ] , [ 37, 24, 12, 97 ] , [ 67, 0, 66, 67 ] , [ 67, 0, 99, 67 ] , [ 67, 88, 88, 23 ] , [ 89, 0, 0, 89 ] , [ 109, 0, 0, 109 ] , [ 111, 22, 44, 111 ]
  132D16 264 2 132 24 0 [ 19, 17, 74, 101 ] , [ 43, 0, 0, 43 ] , [ 45, 22, 77, 111 ] , [ 64, 129, 75, 79 ] , [ 67, 0, 0, 67 ] , [ 89, 0, 0, 89 ] , [ 89, 44, 44, 1 ] , [ 100, 33, 99, 67 ]
^ Level 134 Name Index  con   len   c2   c3  > SL(2,Z/134Z) Matrix Generators
  134A16 Γ0(134) 204 1 204 0 0 [ 1, 0, 67, 1 ] , [ 37, 90, 128, 47 ] , [ 43, 84, 46, 93 ] , [ 113, 34, 96, 87 ] , [ 133, 0, 67, 133 ]
^ Level 140 Name Index  con   len   c2   c3  > SL(2,Z/140Z) Matrix Generators
  140A16 210 2 105 4 0 [ 1, 0, 70, 1 ] , [ 1, 0, 105, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 85, 112, 112, 29 ] , [ 89, 82, 94, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ]
  140B16 210 2 105 6 0 [ 1, 0, 70, 1 ] , [ 1, 80, 60, 41 ] , [ 29, 0, 0, 29 ] , [ 41, 0, 0, 41 ] , [ 57, 0, 112, 113 ] , [ 61, 20, 40, 121 ] , [ 71, 0, 70, 71 ] , [ 71, 70, 35, 1 ] , [ 85, 112, 112, 29 ] , [ 89, 12, 24, 41 ] , [ 101, 100, 60, 101 ] , [ 113, 84, 0, 57 ]
  140C16 252 2 126 12 0 [ 1, 60, 120, 61 ] , [ 11, 42, 9, 9 ] , [ 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 ]
^ Level 144 Name Index  con   len   c2   c3  > SL(2,Z/144Z) Matrix Generators
  144A16 192 2 32 0 0 [ 1, 48, 0, 1 ] , [ 1, 72, 72, 1 ] , [ 1, 108, 36, 1 ] , [ 41, 136, 48, 89 ] , [ 49, 128, 96, 1 ] , [ 55, 0, 72, 55 ] , [ 73, 72, 0, 73 ] , [ 73, 117, 81, 118 ] , [ 77, 10, 75, 107 ] , [ 97, 0, 0, 49 ] , [ 109, 36, 72, 37 ]
  144B16 216 1 54 0 0 [ 1, 72, 72, 1 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ]
  144C16 216 1 54 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ]
  144D16 216 1 108 0 0 [ 1, 72, 72, 1 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 73, 128, 128, 41 ] , [ 74, 113, 71, 124 ] , [ 83, 122, 134, 79 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ]
  144E16 216 1 108 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 136, 9 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 80, 97 ] , [ 73, 0, 0, 73 ] , [ 74, 113, 71, 124 ] , [ 83, 122, 134, 79 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ]
  144F16 216 2 27 8 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 37, 108, 108, 109 ] , [ 37, 126, 126, 1 ] , [ 49, 96, 96, 97 ] , [ 63, 44, 28, 63 ] , [ 65, 32, 8, 97 ] , [ 73, 72, 72, 73 ] , [ 97, 0, 96, 49 ] , [ 113, 48, 48, 65 ] , [ 127, 72, 72, 127 ] , [ 136, 117, 99, 136 ]
  144G16 216 2 54 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 19, 90, 126, 127 ] , [ 37, 108, 36, 109 ] , [ 46, 135, 81, 100 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 82, 81, 135, 28 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ]
  144H16 216 2 108 0 0 [ 1, 72, 72, 1 ] , [ 9, 80, 64, 9 ] , [ 27, 26, 118, 135 ] , [ 37, 108, 36, 109 ] , [ 49, 0, 48, 97 ] , [ 65, 32, 8, 97 ] , [ 73, 0, 0, 73 ] , [ 90, 89, 127, 108 ] , [ 91, 54, 90, 55 ] , [ 97, 48, 48, 49 ] , [ 113, 48, 48, 65 ] , [ 118, 135, 81, 100 ]
^ Level 148 Name Index  con   len   c2   c3  > SL(2,Z/148Z) Matrix Generators
  148A16 228 1 114 4 0 [ 1, 0, 37, 1 ] , [ 1, 0, 74, 1 ] , [ 9, 36, 52, 93 ] , [ 13, 72, 72, 137 ] , [ 75, 0, 74, 75 ] , [ 81, 20, 0, 53 ] , [ 93, 98, 84, 1 ] , [ 121, 52, 0, 137 ]
^ Level 150 Name Index  con   len   c2   c3  > SL(2,Z/150Z) Matrix Generators
  150A16 270 1 90 6 0 [ 1, 0, 75, 1 ] , [ 31, 90, 90, 121 ] , [ 37, 32, 20, 143 ] , [ 51, 50, 100, 51 ] , [ 91, 90, 0, 61 ] , [ 97, 18, 138, 55 ] , [ 101, 0, 0, 101 ] , [ 101, 50, 50, 1 ] , [ 119, 0, 120, 29 ]
^ Level 152 Name Index  con   len   c2   c3  > SL(2,Z/152Z) Matrix Generators
  152A16 240 1 60 0 0 [ 1, 0, 38, 1 ] , [ 1, 0, 76, 1 ] , [ 1, 0, 95, 1 ] , [ 17, 8, 120, 137 ] , [ 25, 80, 120, 1 ] , [ 33, 16, 88, 121 ] , [ 49, 0, 144, 121 ] , [ 53, 92, 104, 149 ] , [ 85, 80, 60, 69 ] , [ 97, 48, 36, 57 ] , [ 107, 148, 111, 47 ]
^ Level 156 Name Index  con   len   c2   c3  > SL(2,Z/156Z) Matrix Generators
  156A16 252 1 42 12 0 [ 13, 120, 147, 145 ] , [ 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 ]
  156B16 252 2 42 12 0 [ 1, 0, 39, 1 ] , [ 1, 0, 78, 1 ] , [ 1, 84, 32, 37 ] , [ 25, 0, 0, 25 ] , [ 53, 0, 0, 53 ] , [ 53, 104, 104, 1 ] , [ 79, 0, 78, 79 ] , [ 105, 52, 104, 105 ] , [ 109, 144, 36, 49 ] , [ 133, 54, 60, 49 ]
^ Level 160 Name Index  con   len   c2   c3  > SL(2,Z/160Z) Matrix Generators
  160A16 240 1 30 0 0 [ 1, 80, 80, 1 ] , [ 11, 30, 50, 151 ] , [ 21, 60, 100, 141 ] , [ 33, 0, 32, 97 ] , [ 41, 120, 40, 121 ] , [ 61, 60, 20, 101 ] , [ 81, 80, 80, 81 ] , [ 96, 95, 65, 126 ] , [ 97, 32, 64, 97 ] , [ 116, 95, 25, 106 ] , [ 121, 130, 150, 21 ] , [ 129, 0, 0, 129 ] , [ 129, 128, 96, 1 ]
^ Level 162 Name Index  con   len   c2   c3  > SL(2,Z/162Z) Matrix Generators
  162A16 216 1 36 0 0 [ 1, 0, 108, 1 ] , [ 19, 54, 66, 145 ] , [ 55, 0, 36, 109 ] , [ 61, 18, 94, 49 ] , [ 67, 18, 0, 133 ] , [ 82, 81, 81, 1 ] , [ 91, 54, 0, 73 ] , [ 107, 27, 111, 134 ] , [ 109, 0, 0, 55 ]
  162B16 216 1 36 0 0 [ 1, 0, 54, 1 ] , [ 31, 117, 161, 106 ] , [ 37, 108, 132, 127 ] , [ 67, 18, 0, 133 ] , [ 82, 81, 81, 1 ] , [ 91, 54, 0, 73 ] , [ 107, 27, 111, 134 ] , [ 109, 0, 0, 55 ] , [ 109, 0, 72, 55 ]
  162C16 216 1 72 0 0 [ 1, 0, 108, 1 ] , [ 13, 9, 119, 70 ] , [ 19, 54, 84, 145 ] , [ 55, 0, 54, 109 ] , [ 55, 0, 90, 109 ] , [ 67, 27, 31, 160 ] , [ 91, 0, 102, 73 ] , [ 143, 0, 48, 17 ] , [ 154, 135, 45, 91 ]
  162D16 216 1 72 0 0 [ 1, 0, 108, 1 ] , [ 13, 0, 112, 25 ] , [ 19, 54, 84, 145 ] , [ 55, 0, 54, 109 ] , [ 55, 0, 90, 109 ] , [ 55, 27, 27, 28 ] , [ 91, 0, 102, 73 ] , [ 121, 144, 146, 151 ] , [ 143, 0, 48, 17 ]
  162E16 Γ0(162) 324 1 108 0 0 [ 1, 0, 81, 1 ] , [ 1, 0, 108, 1 ] , [ 19, 54, 12, 145 ] , [ 37, 54, 0, 127 ] , [ 55, 0, 36, 109 ] , [ 85, 126, 0, 61 ] , [ 107, 108, 30, 53 ] , [ 109, 0, 0, 55 ] , [ 151, 0, 14, 103 ]
^ Level 168 Name Index  con   len   c2   c3  > SL(2,Z/168Z) Matrix Generators
  168A16 192 2 32 0 0 [ 1, 56, 56, 113 ] , [ 1, 84, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 1, 147, 63, 22 ] , [ 29, 98, 77, 127 ] , [ 73, 24, 120, 97 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 155, 0, 84, 155 ]
  168B16 192 2 96 0 0 [ 1, 84, 84, 1 ] , [ 1, 147, 63, 22 ] , [ 29, 98, 77, 127 ] , [ 73, 24, 120, 97 ] , [ 85, 0, 84, 85 ] , [ 85, 42, 105, 127 ] , [ 97, 0, 0, 97 ] , [ 97, 24, 72, 49 ] , [ 113, 0, 0, 113 ] , [ 141, 154, 161, 15 ] , [ 155, 0, 84, 155 ]
  168C16 252 2 42 18 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ]
  168D16 252 2 42 18 0 [ 1, 0, 84, 1 ] , [ 1, 112, 112, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 72, 144, 97 ] , [ 145, 120, 72, 121 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ]
  168E16 252 2 63 20 0 [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 112, 56, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ]
  168F16 252 2 126 18 0 [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 49, 72, 24, 49 ] , [ 57, 28, 140, 57 ] , [ 57, 140, 70, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 120, 72, 121 ] , [ 145, 156, 60, 97 ] , [ 155, 0, 84, 155 ] , [ 155, 14, 119, 1 ]
  168G16 252 2 126 18 0 [ 1, 0, 84, 1 ] , [ 1, 28, 28, 113 ] , [ 43, 126, 63, 1 ] , [ 49, 72, 24, 49 ] , [ 57, 56, 154, 57 ] , [ 57, 112, 56, 57 ] , [ 85, 0, 0, 85 ] , [ 85, 0, 84, 85 ] , [ 97, 0, 0, 97 ] , [ 97, 144, 96, 49 ] , [ 113, 0, 0, 113 ] , [ 145, 72, 144, 97 ] , [ 145, 120, 72, 121 ] , [ 155, 0, 84, 155 ]
^ Level 169 Name Index  con   len   c2   c3  > SL(2,Z/169Z) Matrix Generators
  169A16 364 1 182 0 4 [ 12, 0, 65, 155 ] , [ 25, 19, 112, 146 ] , [ 35, 78, 106, 159 ] , [ 105, 0, 13, 66 ] , [ 144, 78, 104, 27 ]
^ Level 175 Name Index  con   len   c2   c3  > SL(2,Z/175Z) Matrix Generators
  175A16 210 2 210 6 0 [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ] , [ 169, 91, 56, 113 ]
  175B16 210 2 210 6 0 [ 15, 63, 133, 22 ] , [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ]
  175C16 210 2 210 6 0 [ 26, 100, 50, 51 ] , [ 43, 49, 84, 169 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ]
  175D16 210 2 210 6 0 [ 15, 133, 63, 92 ] , [ 26, 100, 50, 51 ] , [ 43, 147, 0, 57 ] , [ 51, 50, 150, 51 ] , [ 76, 0, 0, 76 ] , [ 99, 0, 0, 99 ] , [ 106, 70, 0, 71 ] , [ 141, 0, 35, 36 ] , [ 151, 50, 25, 101 ] , [ 151, 150, 0, 51 ]
^ Level 176 Name Index  con   len   c2   c3  > SL(2,Z/176Z) Matrix Generators
  176A16 192 2 96 0 0 [ 1, 44, 44, 1 ] , [ 1, 88, 88, 1 ] , [ 1, 110, 77, 23 ] , [ 12, 33, 99, 67 ] , [ 23, 0, 88, 23 ] , [ 33, 96, 48, 161 ] , [ 65, 0, 0, 65 ] , [ 81, 80, 96, 97 ] , [ 89, 88, 0, 89 ] , [ 133, 132, 0, 45 ]
  176B16 264 2 33 24 0 [ 1, 0, 88, 1 ] , [ 1, 88, 132, 1 ] , [ 23, 0, 88, 23 ] , [ 45, 0, 132, 133 ] , [ 47, 142, 145, 161 ] , [ 65, 0, 0, 65 ] , [ 89, 0, 0, 89 ] , [ 129, 146, 103, 47 ] , [ 133, 132, 154, 133 ] , [ 155, 110, 165, 133 ]
^ Level 180 Name Index  con   len   c2   c3  > SL(2,Z/180Z) Matrix Generators
  180A16 240 1 40 0 12 [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 61, 40, 120, 61 ] , [ 61, 120, 0, 121 ] , [ 73, 36, 0, 37 ] , [ 91, 90, 0, 91 ] , [ 101, 140, 150, 101 ] , [ 109, 0, 0, 109 ] , [ 121, 120, 0, 61 ] , [ 145, 144, 36, 109 ] , [ 166, 75, 15, 61 ]
  180B16 240 2 20 0 12 [ 1, 72, 144, 109 ] , [ 1, 90, 90, 1 ] , [ 1, 120, 0, 1 ] , [ 5, 84, 66, 29 ] , [ 37, 0, 108, 73 ] , [ 49, 36, 84, 25 ] , [ 61, 0, 0, 121 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 121, 140, 60, 1 ] , [ 136, 45, 135, 91 ]
  180C16 240 2 40 0 12 [ 1, 160, 60, 61 ] , [ 37, 144, 0, 73 ] , [ 61, 0, 0, 121 ] , [ 85, 44, 36, 169 ] , [ 91, 0, 90, 91 ] , [ 91, 90, 0, 91 ] , [ 109, 0, 0, 109 ] , [ 109, 108, 36, 1 ] , [ 121, 45, 165, 106 ] , [ 121, 60, 0, 61 ] , [ 125, 36, 174, 161 ]
^ Level 184 Name Index  con   len   c2   c3  > SL(2,Z/184Z) Matrix Generators
  184A16 192 2 96 0 0 [ 1, 92, 92, 1 ] , [ 17, 120, 96, 169 ] , [ 47, 0, 0, 47 ] , [ 47, 69, 115, 24 ] , [ 93, 92, 0, 93 ] , [ 137, 0, 0, 137 ] , [ 139, 46, 161, 93 ] , [ 161, 72, 176, 73 ]
^ Level 186 Name Index  con   len   c2   c3  > SL(2,Z/186Z) Matrix Generators
  186A16 192 1 32 0 0 [ 43, 36, 12, 49 ] , [ 55, 156, 114, 19 ] , [ 61, 0, 0, 61 ] , [ 63, 62, 124, 63 ] , [ 91, 144, 60, 97 ] , [ 94, 93, 93, 1 ] , [ 125, 0, 0, 125 ] , [ 125, 62, 62, 1 ]
  186B16 192 1 96 0 0 [ 43, 36, 12, 49 ] , [ 55, 156, 114, 19 ] , [ 61, 0, 0, 61 ] , [ 63, 62, 31, 63 ] , [ 91, 144, 60, 97 ] , [ 94, 93, 93, 1 ] , [ 125, 0, 0, 125 ] , [ 125, 62, 62, 1 ]
^ Level 188 Name Index  con   len   c2   c3  > SL(2,Z/188Z) Matrix Generators
  188A16 192 1 48 0 0 [ 1, 47, 47, 142 ] , [ 33, 4, 120, 157 ] , [ 45, 48, 128, 53 ] , [ 93, 0, 94, 93 ] , [ 95, 0, 94, 95 ] , [ 95, 94, 0, 95 ]
  188B16 192 1 192 0 0 [ 1, 94, 141, 95 ] , [ 37, 44, 0, 61 ] , [ 48, 141, 47, 95 ] , [ 95, 0, 0, 95 ] , [ 109, 84, 76, 81 ] , [ 129, 28, 88, 57 ]
^ Level 191 Name Index  con   len   c2   c3  > SL(2,Z/191Z) Matrix Generators
  191A16 Γ0(191) 192 1 192 0 0 [ 121, 80, 124, 52 ] , [ 158, 48, 106, 31 ] , [ 172, 1, 183, 121 ] , [ 190, 0, 0, 190 ]
^ Level 195 Name Index  con   len   c2   c3  > SL(2,Z/195Z) Matrix Generators
  195A16 210 1 70 6 0 [ 1, 30, 45, 181 ] , [ 46, 120, 150, 31 ] , [ 53, 26, 65, 157 ] , [ 53, 130, 52, 157 ] , [ 66, 130, 65, 66 ] , [ 79, 0, 0, 79 ] , [ 131, 0, 0, 131 ] , [ 131, 130, 130, 1 ] , [ 157, 182, 104, 92 ] , [ 181, 0, 0, 181 ] , [ 181, 120, 120, 16 ]
^ Level 197 Name Index  con   len   c2   c3  > SL(2,Z/197Z) Matrix Generators
  197A16 Γ0(197) 198 1 198 2 0 [ 2, 90, 59, 193 ] , [ 27, 176, 192, 55 ] , [ 196, 0, 0, 196 ]
^ Level 199 Name Index  con   len   c2   c3  > SL(2,Z/199Z) Matrix Generators
  199A16 Γ0(199) 200 1 200 0 2 [ 1, 134, 175, 168 ] , [ 28, 5, 190, 169 ] , [ 198, 0, 0, 198 ]
^ Level 201 Name Index  con   len   c2   c3  > SL(2,Z/201Z) Matrix Generators
  201A16 204 2 68 0 3 [ 37, 90, 195, 181 ] , [ 43, 84, 180, 160 ] , [ 68, 0, 0, 68 ] , [ 68, 134, 134, 1 ] , [ 87, 100, 38, 46 ] , [ 135, 134, 67, 135 ] , [ 200, 0, 0, 200 ]
^ Level 202 Name Index  con   len   c2   c3  > SL(2,Z/202Z) Matrix Generators
  202A16 204 1 102 4 0 [ 1, 101, 101, 102 ] , [ 21, 152, 54, 35 ] , [ 43, 126, 74, 137 ] , [ 61, 14, 199, 49 ] , [ 63, 56, 190, 15 ] , [ 113, 38, 42, 91 ]
^ Level 203 Name Index  con   len   c2   c3  > SL(2,Z/203Z) Matrix Generators
  203A16 210 2 210 6 0 [ 34, 130, 3, 113 ] , [ 36, 21, 77, 169 ] , [ 69, 90, 135, 29 ] , [ 71, 161, 77, 106 ] , [ 89, 76, 124, 58 ] , [ 89, 189, 34, 38 ] , [ 146, 0, 0, 146 ] , [ 162, 84, 133, 183 ] , [ 190, 7, 28, 141 ]
^ Level 206 Name Index  con   len   c2   c3  > SL(2,Z/206Z) Matrix Generators
  206A16 208 1 104 0 4 [ 17, 202, 194, 15 ] , [ 89, 172, 28, 193 ] , [ 91, 48, 178, 69 ] , [ 104, 103, 103, 1 ] , [ 121, 80, 26, 87 ]
^ Level 210 Name Index  con   len   c2   c3  > SL(2,Z/210Z) Matrix Generators
  210A16 210 2 35 0 6 [ 1, 150, 60, 181 ] , [ 1, 180, 150, 121 ] , [ 29, 0, 0, 29 ] , [ 29, 98, 28, 15 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 28, 196, 169 ] , [ 71, 70, 70, 1 ] , [ 106, 105, 105, 1 ] , [ 127, 70, 112, 113 ] , [ 141, 140, 70, 141 ] , [ 181, 0, 0, 181 ]
  210B16 210 2 35 0 6 [ 1, 140, 140, 71 ] , [ 1, 150, 60, 181 ] , [ 29, 0, 0, 29 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 85, 182, 42, 169 ] , [ 106, 105, 105, 1 ] , [ 127, 140, 182, 113 ] , [ 127, 196, 70, 113 ] , [ 141, 70, 140, 141 ] , [ 151, 150, 90, 31 ] , [ 181, 0, 0, 181 ]
  210C16 210 2 70 0 6 [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 31, 60, 120, 151 ] , [ 43, 84, 0, 127 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 140, 1 ] , [ 127, 0, 42, 43 ] , [ 141, 140, 70, 141 ] , [ 169, 0, 0, 169 ] , [ 169, 168, 168, 85 ] , [ 176, 105, 35, 71 ] , [ 181, 0, 0, 181 ]
  210D16 210 2 105 8 0 [ 1, 150, 60, 181 ] , [ 31, 30, 60, 31 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 71, 140, 35, 1 ] , [ 106, 105, 105, 1 ] , [ 113, 0, 168, 197 ] , [ 127, 126, 0, 43 ] , [ 141, 140, 175, 141 ] , [ 169, 0, 0, 169 ] , [ 181, 0, 0, 181 ] , [ 181, 30, 165, 61 ] , [ 190, 147, 147, 169 ]
  210E16 240 1 80 0 12 [ 1, 70, 70, 71 ] , [ 43, 84, 0, 127 ] , [ 71, 0, 0, 71 ] , [ 71, 105, 175, 176 ] , [ 91, 60, 180, 181 ] , [ 115, 96, 114, 139 ] , [ 141, 140, 70, 141 ] , [ 151, 60, 150, 61 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 0, 0, 181 ]
  210F16 240 2 40 0 12 [ 1, 70, 70, 71 ] , [ 61, 150, 60, 151 ] , [ 71, 0, 0, 71 ] , [ 71, 70, 70, 1 ] , [ 97, 168, 56, 97 ] , [ 106, 105, 105, 1 ] , [ 127, 126, 0, 43 ] , [ 127, 168, 56, 127 ] , [ 169, 0, 0, 169 ] , [ 169, 42, 84, 1 ] , [ 181, 150, 30, 91 ]
  210G16 240 2 40 0 12 [ 1, 140, 140, 71 ] , [ 29, 0, 0, 29 ] , [ 41, 80, 100, 21 ] , [ 43, 0, 168, 127 ] , [ 71, 0, 0, 71 ] , [ 91, 120, 90, 121 ] , [ 106, 105, 105, 1 ] , [ 127, 84, 168, 169 ] , [ 139, 147, 189, 76 ] , [ 141, 70, 140, 141 ] , [ 169, 42, 84, 1 ]
  210H16 252 2 126 20 0 [ 1, 150, 60, 181 ] , [ 7, 150, 114, 193 ] , [ 31, 180, 150, 31 ] , [ 57, 140, 154, 183 ] , [ 61, 90, 180, 121 ] , [ 71, 0, 0, 71 ] , [ 106, 105, 105, 1 ] , [ 139, 0, 0, 139 ] , [ 167, 130, 94, 43 ] , [ 169, 42, 168, 43 ] , [ 181, 0, 0, 181 ] , [ 187, 90, 159, 163 ]
^ Level 218 Name Index  con   len   c2   c3  > SL(2,Z/218Z) Matrix Generators
  218A16 220 1 110 4 4 [ 53, 94, 14, 103 ] , [ 73, 164, 94, 35 ] , [ 110, 109, 109, 1 ] , [ 115, 76, 156, 105 ] , [ 129, 16, 174, 3 ] , [ 215, 20, 163, 3 ] , [ 217, 0, 0, 217 ]
^ Level 220 Name Index  con   len   c2   c3  > SL(2,Z/220Z) Matrix Generators
  220A16 220 2 220 6 4 [ 1, 110, 55, 111 ] , [ 21, 0, 0, 21 ] , [ 54, 99, 11, 65 ] , [ 67, 63, 195, 98 ] , [ 86, 63, 83, 25 ] , [ 89, 0, 0, 89 ] , [ 89, 176, 88, 1 ] , [ 111, 0, 0, 111 ] , [ 166, 55, 55, 1 ] , [ 177, 0, 44, 133 ]
^ Level 222 Name Index  con   len   c2   c3  > SL(2,Z/222Z) Matrix Generators
  222A16 228 1 38 12 0 [ 37, 168, 24, 187 ] , [ 43, 114, 81, 127 ] , [ 75, 74, 148, 75 ] , [ 91, 156, 216, 19 ] , [ 112, 111, 111, 1 ] , [ 115, 60, 66, 19 ] , [ 149, 0, 0, 149 ] , [ 149, 74, 74, 1 ] , [ 205, 66, 6, 55 ]
  222B16 228 2 38 12 0 [ 1, 148, 148, 149 ] , [ 13, 186, 150, 97 ] , [ 61, 36, 72, 199 ] , [ 73, 180, 27, 97 ] , [ 75, 148, 74, 75 ] , [ 85, 174, 52, 49 ] , [ 112, 111, 111, 1 ] , [ 121, 42, 6, 103 ] , [ 149, 0, 0, 149 ]
^ Level 228 Name Index  con   len   c2   c3  > SL(2,Z/228Z) Matrix Generators
  228A16 240 1 40 0 12 [ 1, 38, 38, 77 ] , [ 1, 152, 152, 77 ] , [ 37, 24, 60, 193 ] , [ 39, 38, 76, 39 ] , [ 73, 42, 36, 205 ] , [ 77, 0, 0, 77 ] , [ 77, 152, 152, 1 ] , [ 101, 164, 188, 145 ] , [ 121, 192, 168, 97 ] , [ 191, 133, 95, 96 ]
  228B16 240 2 40 0 12 [ 1, 76, 76, 77 ] , [ 1, 96, 100, 25 ] , [ 1, 152, 152, 77 ] , [ 1, 190, 190, 77 ] , [ 13, 84, 96, 217 ] , [ 37, 152, 38, 113 ] , [ 77, 0, 0, 77 ] , [ 191, 171, 133, 20 ] , [ 191, 190, 76, 115 ] , [ 193, 48, 12, 205 ]
^ Level 234 Name Index  con   len   c2   c3  > SL(2,Z/234Z) Matrix Generators
  234A16 252 1 126 20 0 [ 10, 171, 99, 172 ] , [ 53, 0, 0, 53 ] , [ 53, 130, 130, 1 ] , [ 79, 0, 156, 157 ] , [ 118, 117, 117, 1 ] , [ 127, 126, 108, 109 ] , [ 157, 78, 0, 79 ] , [ 181, 0, 0, 181 ] , [ 183, 130, 182, 105 ] , [ 193, 54, 96, 79 ]
^ Level 243 Name Index  con   len   c2   c3  > SL(2,Z/243Z) Matrix Generators
  243A16 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, 162, 97, 217 ] , [ 208, 0, 153, 118 ] , [ 242, 0, 0, 242 ]

Chris Cummins and Sebastian Pauli, computed with MAGMA