| 1 |
G ≤ Sym(24) |
5-trans., on cosets of M23 (1st max.) |
| 2 |
G ≤ Sym(276) |
rank 3, on cosets of M22.2 (2nd max.) |
| 3 |
G ≤ Sym(759) |
rank 4, on cosets of 24:A8 (3rd max.) |
| 4 |
G ≤ Sym(1288) |
rank 3, on cosets of M12.2 (4th max.) |
| 5 |
G ≤ Sym(1771) |
rank 4, on cosets of 26:3.S6 (5th max.) |
| 6 |
G ≤ Sym(2024) |
rank 5, on cosets of L3(4).S3 (6th max.) |
| 9 |
G ≤ Sym(3795) |
rank 5, on cosets of 26:(L3(2) × S3) (7th max.) |
| 13 |
G ≤ GL(11a,2) |
character 11a |
| 14 |
G ≤ GL(11b,2) |
character 11b |
| 15 |
G ≤ GL(44a,2) |
character 44a |
| 16 |
G ≤ GL(44b,2) |
character 44b |
| 17 |
G ≤ GL(120,2) |
character 120a |
| 18 |
G ≤ GL(220a,2) |
character 220a |
| 19 |
G ≤ GL(220b,2) |
character 220b |
| 20 |
G ≤ GL(252,2) |
character 252a |
| 21 |
G ≤ GL(320a,2) |
character 320a |
| 22 |
G ≤ GL(320b,2) |
character 320b |
| 23 |
G ≤ GL(1242,2) |
character 1242a |
| 24 |
G ≤ GL(1792,2) |
character 1792a |
| 25 |
G ≤ GL(22,3) |
character 22a |
| 26 |
G ≤ GL(231,3) |
character 231a |
| 27 |
G ≤ GL(252,3) |
character 252a |
| 28 |
G ≤ GL(483,3) |
character 483a |
| 29 |
G ≤ GL(770a,3) |
character 770a |
| 30 |
G ≤ GL(770b,3) |
character 770b |
| 31 |
G ≤ GL(23,5) |
character 23a |
| 32 |
G ≤ GL(231,5) |
character 231a |
| 33 |
G ≤ GL(252,5) |
character 252a |
| 34 |
G ≤ GL(253,5) |
character 253a |
| 35 |
G ≤ GL(23,7) |
character 23a |
| 36 |
G ≤ GL(45,7) |
character 45a |
| 37 |
G ≤ GL(252,7) |
character 252a |
| 38 |
G ≤ GL(253,7) |
character 253a |
| 39 |
G ≤ GL(483,7) |
character 483a |
| 40 |
G ≤ GL(990,7) |
character 990a |
| 41 |
G ≤ GL(45a,9) |
character 45a |
| 42 |
G ≤ GL(45b,9) |
character 45b |
| 43 |
G ≤ GL(990b,9) |
character 990b |
| 44 |
G ≤ GL(23,11) |
character 23a |
| 45 |
G ≤ GL(45,11) |
character 45a |
| 46 |
G ≤ GL(229,11) |
character 229a |
| 47 |
G ≤ GL(253,11) |
character 253a |
| 48 |
G ≤ GL(482,11) |
character 482a |
| 49 |
G ≤ GL(806,11) |
character 806a |
| 50 |
G ≤ GL(990b,11) |
character 990b |
| 51 |
G ≤ GL(23,23) |
character 23a |
| 52 |
G ≤ GL(45,23) |
character 45a |
| 53 |
G ≤ GL(231b,23) |
character 231b |
| 54 |
G ≤ GL(251,23) |
character 251a |
| 55 |
G ≤ GL(253,23) |
character 253a |
| 56 |
G ≤ GL(483,23) |
character 483a |
| 57 |
G ≤ GL(770,23) |
character 770a |
| 58 |
G ≤ GL(990b,23) |
character 990b |
| 59 |
G ≤ GL(45a,25) |
character 45a |
| 60 |
G ≤ GL(45b,25) |
character 45b |
| 61 |
G ≤ GL(770a,25) |
character 770a |
| 62 |
G ≤ GL(990a,25) |
character 990a |
| 63 |
G ≤ GL(231b,49) |
character 231b |
| 64 |
G ≤ GL(770a,49) |
character 770a |
| 65 |
G ≤ GL(231b,121) |
character 231b |
| 66 |
G ≤ GL(770a,121) |
character 770a |
| 67 |
G ≤ GL(23,ℤ) |
character 23a |