| 1 |
G ≤ Sym(65) |
2-trans., on cosets of 23+3:7 (1st max.) |
| 2 |
G ≤ Sym(520) |
rank 12, on cosets of 23:7 < 23+3:7 |
| 3 |
G ≤ Sym(560) |
rank 17, on cosets of 13:4 (2nd max.) |
| 4 |
G ≤ Sym(1456) |
rank 79, on cosets of 5:4 (3rd max.) |
| 5 |
G ≤ Sym(2080) |
rank 165, on cosets of D14 (4th max.) |
| 6 |
G ≤ GL(64,2) |
character 64a |
| 7 |
G ≤ GL(14a,5) |
character 14a |
| 8 |
G ≤ GL(14b,5) |
character 14b |
| 9 |
G ≤ GL(35a,5) |
character 35a |
| 10 |
G ≤ GL(35b,5) |
character 35b |
| 11 |
G ≤ GL(35c,5) |
character 35c |
| 12 |
G ≤ GL(63,5) |
character 63a |
| 13 |
G ≤ GL(195,5) |
character 65abc |
| 14 |
G ≤ GL(64,7) |
character 64a |
| 15 |
G ≤ GL(91,7) |
character 91a |
| 16 |
G ≤ GL(105,7) |
character 35abc |
| 17 |
G ≤ GL(4a,8) |
character 4a |
| 18 |
G ≤ GL(16a,8) |
character 16a |
| 19 |
G ≤ GL(14a,13) |
character 14a |
| 20 |
G ≤ GL(14b,13) |
character 14b |
| 21 |
G ≤ GL(35,13) |
character 35a |
| 22 |
G ≤ GL(65a,13) |
character 65a |
| 23 |
G ≤ GL(65b,13) |
character 65b |
| 24 |
G ≤ GL(65c,13) |
character 65c |
| 25 |
G ≤ GL(91,13) |
character 91a |
| 26 |
G ≤ GL(14a,49) |
character 14a |
| 27 |
G ≤ GL(65a,125) |
character 65a |
| 28 |
G ≤ GL(65b,125) |
character 65c |
| 29 |
G ≤ GL(65c,125) |
character 65b |
| 30 |
G ≤ GL(64,ℤ) |
character 64a |
| 31 |
G ≤ GL(91,ℤ) |
character 91a |
| 32 |
G ≤ GL(14a,Field([Sqrt(-1)])) |
character 14a |
| 33 |
G ≤ GL(14b,Field([Sqrt(-1)])) |
character 14b |
| 34 |
G ≤ GL(65a,Field([E(7)])) |
character 65a |
| 35 |
G ≤ GL(65b,Field([E(7)])) |
character 65b |
| 36 |
G ≤ GL(65c,Field([E(7)])) |
character 65c |