| 1 |
G ≤ Sym(22) |
3-trans., on cosets of L3(4).22 (2nd max.) |
| 2 |
G ≤ Sym(77) |
rank 3, on cosets of 24:S6 (3rd max.) |
| 3 |
G ≤ Sym(231) |
rank 4, on cosets of 25:S5 (4th max.) |
| 4 |
G ≤ Sym(330) |
rank 5, on cosets of 2 × 23:L3(2) (5th max.) |
| 5 |
G ≤ Sym(352) |
rank 6, on cosets of A7 < M22 |
| 6 |
G ≤ Sym(616) |
rank 5, on cosets of A6.22 (6th max.) |
| 7 |
G ≤ Sym(672) |
rank 6, on cosets of L2(11).2 (7th max.) |
| 8 |
G ≤ GL(10a,2) |
|
| 9 |
G ≤ GL(10b,2) |
|
| 10 |
G ≤ GL(34,2) |
|
| 11 |
G ≤ GL(98,2) |
|
| 12 |
G ≤ GL(140,2) |
|
| 13 |
G ≤ GL(21a,3) |
|
| 14 |
G ≤ GL(55a,3) |
|
| 15 |
G ≤ GL(98,3) |
|
| 16 |
G ≤ GL(99a,3) |
|
| 17 |
G ≤ GL(210a,3) |
|
| 18 |
G ≤ GL(231a,3) |
|
| 19 |
G ≤ GL(21a,5) |
|
| 20 |
G ≤ GL(55a,5) |
|
| 21 |
G ≤ GL(98a,5) |
|
| 22 |
G ≤ GL(133a,5) |
|
| 23 |
G ≤ GL(210a,5) |
|
| 24 |
G ≤ GL(385a,5) |
|
| 25 |
G ≤ GL(560,5) |
|
| 26 |
G ≤ GL(21a,7) |
|
| 27 |
G ≤ GL(45a,7) |
|
| 28 |
G ≤ GL(54a,7) |
|
| 29 |
G ≤ GL(154a,7) |
|
| 30 |
G ≤ GL(210a,7) |
|
| 31 |
G ≤ GL(231a,7) |
|
| 32 |
G ≤ GL(385a,7) |
|
| 33 |
G ≤ GL(560,7) |
|
| 34 |
G ≤ GL(45a,9) |
|
| 35 |
G ≤ GL(45b,9) |
|
| 36 |
G ≤ GL(20a,11) |
|
| 37 |
G ≤ GL(45a,11) |
|
| 38 |
G ≤ GL(45b,11) |
|
| 39 |
G ≤ GL(55a,11) |
|
| 40 |
G ≤ GL(99a,11) |
|
| 41 |
G ≤ GL(154a,11) |
|
| 42 |
G ≤ GL(190a,11) |
|
| 43 |
G ≤ GL(231a,11) |
|
| 44 |
G ≤ GL(385a,11) |
|
| 45 |
G ≤ GL(45a,25) |
|
| 46 |
G ≤ GL(45b,25) |
|