| 1 |
G ≤ Sym(416) |
rank 3, on cosets of J2 (1st max.) |
| 2 |
G ≤ Sym(1365a) |
rank 4, on cosets of 22+8:(3 × A5) (2nd max.) |
| 3 |
G ≤ Sym(1365b) |
rank 4, on cosets of 24+6:(A5 × 3) (3rd max.) |
| 4 |
G ≤ Sym(2016) |
rank 3, on cosets of U3(4).2 (4th max.) |
| 5 |
G ≤ Sym(2080) |
rank 4, on cosets of 3.L3(4).23 (5th max.) |
| 6 |
G ≤ Sym(20800) |
rank 14, on cosets of U3(3).2 (6th max.) |
| 7 |
G ≤ GL(36,2) |
character 36a |
| 8 |
G ≤ GL(196,2) |
character 196a |
| 9 |
G ≤ GL(64,3) |
character 64a |
| 10 |
G ≤ GL(78,3) |
character 78a |
| 11 |
G ≤ GL(286,3) |
character 286a |
| 12 |
G ≤ GL(6a,4) |
character 6a |
| 13 |
G ≤ GL(6b,4) |
character 6b |
| 14 |
G ≤ GL(14a,4) |
character 14a |
| 15 |
G ≤ GL(14b,4) |
character 14b |
| 16 |
G ≤ GL(64a,4) |
character 64a |
| 17 |
G ≤ GL(64b,4) |
character 64b |
| 18 |
G ≤ GL(84a,4) |
character 84b |
| 19 |
G ≤ GL(84b,4) |
character 84a |
| 20 |
G ≤ GL(384a,4) |
character 384a |
| 21 |
G ≤ GL(896a,4) |
character 896a |
| 22 |
G ≤ GL(65,5) |
character 65a |
| 23 |
G ≤ GL(78,5) |
character 78a |
| 24 |
G ≤ GL(350,5) |
character 350a |
| 25 |
G ≤ GL(363a,5) |
character 363a |
| 26 |
G ≤ GL(650,5) |
character 650a |
| 27 |
G ≤ GL(65,7) |
character 65a |
| 28 |
G ≤ GL(78,7) |
character 78a |
| 29 |
G ≤ GL(65,13) |
character 65a |
| 30 |
G ≤ GL(78,13) |
character 78a |
| 31 |
G ≤ GL(65,ℤ) |
character 65a |
| 32 |
G ≤ GL(78,ℤ) |
character 78a |
| 33 |
G ≤ GL(350,ℤ) |
character 350a |