| 1 |
G ≤ Sym(165) |
rank 3, on cosets of 21+6:31+2:2A4 (1st max.) |
| 2 |
G ≤ Sym(176) |
rank 3, on cosets of 3 × U4(2) (2nd max.) |
| 3 |
G ≤ Sym(297) |
rank 3, on cosets of 24+4:(3 × A5) (3rd max.) |
| 4 |
G ≤ Sym(1408) |
rank 7, on cosets of 34:S5 (4th max.) |
| 5 |
G ≤ Sym(3520) |
rank 12, on cosets of S3 × 3(1+2)+:2A4 (5th max.) |
| 6 |
G ≤ Sym(20736) |
rank 76, on cosets of L2(11) (6th max.) |
| 7 |
G ≤ GL(24,2) |
character 24a |
| 8 |
G ≤ GL(74,2) |
character 74a |
| 9 |
G ≤ GL(10,3) |
character 10a |
| 10 |
G ≤ GL(44,3) |
character 44a |
| 11 |
G ≤ GL(55,3) |
character 55a |
| 12 |
G ≤ GL(100,3) |
character 100a |
| 13 |
G ≤ GL(110,3) |
character 110a |
| 14 |
G ≤ GL(5a,4) |
character 5a |
| 15 |
G ≤ GL(5b,4) |
character 5b |
| 16 |
G ≤ GL(10a,4) |
character 10a |
| 17 |
G ≤ GL(10b,4) |
character 10b |
| 18 |
G ≤ GL(43,5) |
character 43a |
| 19 |
G ≤ GL(55a,5) |
character 55a |
| 20 |
G ≤ GL(120,5) |
character 120a |
| 21 |
G ≤ GL(176,5) |
character 176a |
| 22 |
G ≤ GL(44,11) |
character 44a |
| 23 |
G ≤ GL(119,11) |
character 119a |
| 24 |
G ≤ GL(176,11) |
character 176a |
| 25 |
G ≤ GL(55,ℤ) |
character 55a |
| 26 |
G ≤ GL(120,ℤ) |
character 120a |
| 27 |
G ≤ GL(165,ℤ) |
character 165a |
| 28 |
G ≤ GL(176,ℤ) |
character 176a |
| 29 |
G ≤ GL(66a,Field([Sqrt(-3)])) |
character 66a |
| 30 |
G ≤ GL(66b,Field([Sqrt(-3)])) |
character 66b |