| 1 |
G ≤ Sym(100) |
rank 3, on cosets of M22.2 (2nd max.) |
| 2 |
G ≤ Sym(352) |
rank 4, on cosets of U3(5).2 < HS |
| 3 |
G ≤ Sym(1100b) |
rank 5, on cosets of S8 × 2 (4th max.) |
| 4 |
G ≤ Sym(15400) |
rank 20, on cosets of (2 × A6.22).2 (8th max.) |
| 5 |
G ≤ GL(20,2) |
|
| 6 |
G ≤ GL(22,2) |
|
| 7 |
G ≤ GL(56,2) |
|
| 8 |
G ≤ GL(132,2) |
|
| 9 |
G ≤ GL(518,2) |
|
| 10 |
G ≤ GL(1000,2) |
|
| 11 |
G ≤ GL(1408,2) |
|
| 12 |
G ≤ GL(1792,2) |
|
| 13 |
G ≤ GL(22a,3) |
|
| 14 |
G ≤ GL(77a,3) |
|
| 15 |
G ≤ GL(98a,3) |
|
| 16 |
G ≤ GL(154a,3) |
|
| 17 |
G ≤ GL(231a,3) |
|
| 18 |
G ≤ GL(308a,3) |
|
| 19 |
G ≤ GL(321a,3) |
|
| 20 |
G ≤ GL(693a,3) |
|
| 21 |
G ≤ GL(748a,3) |
|
| 22 |
G ≤ GL(825a,3) |
|
| 23 |
G ≤ GL(21a,5) |
|
| 24 |
G ≤ GL(55a,5) |
|
| 25 |
G ≤ GL(98a,5) |
|
| 26 |
G ≤ GL(175a,5) |
|
| 27 |
G ≤ GL(210a,5) |
|
| 28 |
G ≤ GL(266a,5) |
|
| 29 |
G ≤ GL(518a,5) |
|
| 30 |
G ≤ GL(560a,5) |
|
| 31 |
G ≤ GL(650a,5) |
|
| 32 |
G ≤ GL(22a,7) |
|
| 33 |
G ≤ GL(77a,7) |
|
| 34 |
G ≤ GL(154a,7) |
|
| 35 |
G ≤ GL(175a,7) |
|
| 36 |
G ≤ GL(231a,7) |
|
| 37 |
G ≤ GL(308a,7) |
|
| 38 |
G ≤ GL(605a,7) |
|
| 39 |
G ≤ GL(693,7) |
|
| 40 |
G ≤ GL(693a,7) |
|
| 41 |
G ≤ GL(770a,7) |
|
| 42 |
G ≤ GL(803,7) |
|
| 43 |
G ≤ GL(803a,7) |
|
| 44 |
G ≤ GL(22a,11) |
|
| 45 |
G ≤ GL(77a,11) |
|
| 46 |
G ≤ GL(154a,11) |
|
| 47 |
G ≤ GL(174a,11) |
|
| 48 |
G ≤ GL(231a,11) |
|
| 49 |
G ≤ GL(308a,11) |
|
| 50 |
G ≤ GL(693a,11) |
|
| 51 |
G ≤ GL(770a,11) |
|
| 52 |
G ≤ GL(825a,11) |
|
| 53 |
G ≤ GL(854a,11) |
|
| 54 |
G ≤ GL(896a,11) |
|