| 1 |
G ≤ Sym(100) |
rank 3, on cosets of M22 (1st max.) |
| 3 |
G ≤ Sym(176b) |
2-trans., on cosets of U3(5).2 (3rd max.) |
| 6 |
G ≤ Sym(1100a) |
rank 5, on cosets of L3(4).21 (4th max.) |
| 7 |
G ≤ Sym(1100b) |
rank 5, on cosets of S8 (5th max.) |
| 9 |
G ≤ Sym(3850) |
rank 12, on cosets of 24.S6 (6th max.) |
| 10 |
G ≤ Sym(4125) |
rank 9, on cosets of 43:L3(2) (7th max.) |
| 11 |
G ≤ Sym(5600a) |
rank 9, on cosets of M11 (8th max.) |
| 14 |
G ≤ Sym(15400) |
rank 27, on cosets of 2 × A6.22 (11th max.) |
| 15 |
G ≤ GL(20,2) |
character 20a |
| 16 |
G ≤ GL(56,2) |
character 56a |
| 17 |
G ≤ GL(132,2) |
character 132a |
| 18 |
G ≤ GL(518,2) |
character 518a |
| 19 |
G ≤ GL(1000,2) |
character 1000a |
| 20 |
G ≤ GL(22,3) |
character 22a |
| 21 |
G ≤ GL(49a,3) |
character 49a |
| 22 |
G ≤ GL(49b,3) |
character 49b |
| 23 |
G ≤ GL(77,3) |
character 77a |
| 24 |
G ≤ GL(154a,3) |
character 154a |
| 25 |
G ≤ GL(154b,3) |
character 154b |
| 26 |
G ≤ GL(154c,3) |
character 154c |
| 27 |
G ≤ GL(231,3) |
character 231a |
| 28 |
G ≤ GL(321,3) |
character 321a |
| 29 |
G ≤ GL(693,3) |
character 693a |
| 30 |
G ≤ GL(748,3) |
character 748a |
| 31 |
G ≤ GL(770a,3) |
character 770a |
| 32 |
G ≤ GL(825,3) |
character 825a |
| 33 |
G ≤ GL(896a,4) |
character 896a |
| 34 |
G ≤ GL(896b,4) |
character 896b |
| 35 |
G ≤ GL(21,5) |
character 21a |
| 36 |
G ≤ GL(55,5) |
character 55a |
| 37 |
G ≤ GL(98,5) |
character 98a |
| 38 |
G ≤ GL(133a,5) |
character 133a |
| 39 |
G ≤ GL(133b,5) |
character 133b |
| 40 |
G ≤ GL(175,5) |
character 175a |
| 41 |
G ≤ GL(210,5) |
character 210a |
| 42 |
G ≤ GL(280a,5) |
character 280a |
| 43 |
G ≤ GL(518,5) |
character 518a |
| 44 |
G ≤ GL(650,5) |
character 650a |
| 45 |
G ≤ GL(22,7) |
character 22a |
| 46 |
G ≤ GL(77,7) |
character 77a |
| 47 |
G ≤ GL(154a,7) |
character 154a |
| 48 |
G ≤ GL(154b,7) |
character 154b |
| 49 |
G ≤ GL(154c,7) |
character 154c |
| 50 |
G ≤ GL(175,7) |
character 175a |
| 51 |
G ≤ GL(231,7) |
character 231a |
| 52 |
G ≤ GL(605,7) |
character 605a |
| 53 |
G ≤ GL(693,7) |
character 693a |
| 54 |
G ≤ GL(770a,7) |
character 770a |
| 55 |
G ≤ GL(770b,7) |
character 770b |
| 56 |
G ≤ GL(770c,7) |
character 770c |
| 57 |
G ≤ GL(803,7) |
character 803a |
| 58 |
G ≤ GL(22,11) |
character 22a |
| 59 |
G ≤ GL(77,11) |
character 77a |
| 60 |
G ≤ GL(154a,11) |
character 154a |
| 61 |
G ≤ GL(154b,11) |
character 154b |
| 62 |
G ≤ GL(154c,11) |
character 154c |
| 63 |
G ≤ GL(174,11) |
character 174a |
| 64 |
G ≤ GL(231,11) |
character 231a |
| 65 |
G ≤ GL(693,11) |
character 693a |
| 66 |
G ≤ GL(770a,11) |
character 770a |
| 67 |
G ≤ GL(825,11) |
character 825a |
| 68 |
G ≤ GL(854,11) |
character 854a |
| 69 |
G ≤ GL(896,11) |
character 896a |
| 70 |
G ≤ GL(896a,49) |
character 896a |
| 71 |
G ≤ GL(896b,49) |
character 896b |
| 72 |
G ≤ GL(770b,121) |
character 770b |
| 73 |
G ≤ GL(770c,121) |
character 770c |
| 74 |
G ≤ GL(22,ℤ) |
character 22a |
| 75 |
G ≤ GL(77,ℤ) |
character 77a |
| 76 |
G ≤ GL(154a,ℤ) |
character 154a |
| 77 |
G ≤ GL(154b,ℤ) |
character 154b |
| 78 |
G ≤ GL(154c,ℤ) |
character 154c |
| 79 |
G ≤ GL(175,ℤ) |
character 175a |
| 80 |
G ≤ GL(231,ℤ) |
character 231a |