| 1 |
G ≤ Sym(276) |
2-trans., on cosets of McL.2 (1st max.) |
| 2 |
G ≤ Sym(552) |
rank 4, on cosets of McL < McL.2 |
| 3 |
G ≤ Sym(11178) |
rank 5, on cosets of HS (2nd max.) |
| 4 |
G ≤ Sym(37950) |
rank 8, on cosets of U4(3).(22)133 (3rd max.) |
| 5 |
G ≤ Sym(48600) |
rank 8, on cosets of M23 (4th max.) |
| 6 |
G ≤ Sym(128800) |
rank 6, on cosets of 35:(2 × M11) (5th max.) |
| 9 |
G ≤ GL(22,2) |
character 22a |
| 10 |
G ≤ GL(230,2) |
character 230a |
| 11 |
G ≤ GL(22,3) |
character 22a |
| 12 |
G ≤ GL(126a,3) |
character 126a |
| 13 |
G ≤ GL(126b,3) |
character 126b |
| 14 |
G ≤ GL(231a,3) |
character 231a |
| 15 |
G ≤ GL(231b,3) |
character 231b |
| 16 |
G ≤ GL(770a,3) |
character 770a |
| 17 |
G ≤ GL(770b,3) |
character 770b |
| 18 |
G ≤ GL(896a,4) |
character 896a |
| 19 |
G ≤ GL(23,5) |
character 23a |
| 20 |
G ≤ GL(230,5) |
character 230a |
| 21 |
G ≤ GL(253,5) |
character 253a |
| 22 |
G ≤ GL(275,5) |
character 275a |
| 23 |
G ≤ GL(896b,5) |
character 896b |
| 24 |
G ≤ GL(23,7) |
character 23a |
| 25 |
G ≤ GL(253a,7) |
character 253a |
| 26 |
G ≤ GL(253b,7) |
character 253b |
| 27 |
G ≤ GL(275,7) |
character 275a |
| 28 |
G ≤ GL(23,11) |
character 23a |
| 29 |
G ≤ GL(253a,11) |
character 253a |
| 30 |
G ≤ GL(253b,11) |
character 253b |
| 31 |
G ≤ GL(275,11) |
character 275a |
| 32 |
G ≤ GL(896,11) |
character 896a |
| 33 |
G ≤ GL(23,23) |
character 23a |
| 34 |
G ≤ GL(253a,23) |
character 253a |
| 35 |
G ≤ GL(253b,23) |
character 253b |
| 36 |
G ≤ GL(274,23) |
character 274a |
| 37 |
G ≤ GL(896b,23) |
character 896b |
| 38 |
G ≤ GL(896a,49) |
character 896a |
| 39 |
G ≤ GL(23,ℤ) |
character 23a |