| 1 |
G ≤ Sym(266) |
rank 5, on cosets of L2(11) (1st max.) |
| 2 |
G ≤ Sym(1045) |
rank 11, on cosets of 23:7:3 (2nd max.) |
| 3 |
G ≤ Sym(1463) |
rank 22, on cosets of 2 × A5 (3rd max.) |
| 4 |
G ≤ Sym(1540) |
rank 21, on cosets of 19:6 (4th max.) |
| 5 |
G ≤ Sym(1596) |
rank 19, on cosets of 11:10 (5th max.) |
| 6 |
G ≤ Sym(2926) |
rank 67, on cosets of D6 × D10 (6th max.) |
| 7 |
G ≤ Sym(4180) |
rank 107, on cosets of 7:6 (7th max.) |
| 8 |
G ≤ GL(20,2) |
character 20a |
| 9 |
G ≤ GL(76a,2) |
character 76a |
| 10 |
G ≤ GL(76b,2) |
character 76b |
| 11 |
G ≤ GL(112a,2) |
character 56ab |
| 12 |
G ≤ GL(112b,2) |
character 56cd |
| 13 |
G ≤ GL(360,2) |
character 120abc |
| 14 |
G ≤ GL(76a,3) |
character 76a |
| 15 |
G ≤ GL(76b,3) |
character 76b |
| 16 |
G ≤ GL(112,3) |
character 56ab |
| 17 |
G ≤ GL(133,3) |
character 133a |
| 18 |
G ≤ GL(154,3) |
character 77ab |
| 19 |
G ≤ GL(360,3) |
character 120abc |
| 20 |
G ≤ GL(56a,4) |
character 56a |
| 21 |
G ≤ GL(56b,4) |
character 56b |
| 22 |
G ≤ GL(56c,4) |
character 56c |
| 23 |
G ≤ GL(56d,4) |
character 56d |
| 24 |
G ≤ GL(56,5) |
character 56a |
| 25 |
G ≤ GL(76a,5) |
character 76a |
| 26 |
G ≤ GL(76b,5) |
character 76b |
| 27 |
G ≤ GL(77,5) |
character 77a |
| 28 |
G ≤ GL(133,5) |
character 133a |
| 29 |
G ≤ GL(360,5) |
character 120abc |
| 30 |
G ≤ GL(31,7) |
character 31a |
| 31 |
G ≤ GL(45,7) |
character 45a |
| 32 |
G ≤ GL(75,7) |
character 75a |
| 33 |
G ≤ GL(77a,7) |
character 77a |
| 34 |
G ≤ GL(89,7) |
character 89a |
| 35 |
G ≤ GL(112,7) |
character 56ab |
| 36 |
G ≤ GL(120,7) |
character 120a |
| 37 |
G ≤ GL(133a,7) |
character 133a |
| 38 |
G ≤ GL(154,7) |
character 77bc |
| 39 |
G ≤ GL(266,7) |
character 133bc |
| 40 |
G ≤ GL(120a,8) |
character 120a |
| 41 |
G ≤ GL(120b,8) |
character 120b |
| 42 |
G ≤ GL(120c,8) |
character 120c |
| 43 |
G ≤ GL(56a,9) |
character 56a |
| 44 |
G ≤ GL(56b,9) |
character 56b |
| 45 |
G ≤ GL(77a,9) |
character 77a |
| 46 |
G ≤ GL(77b,9) |
character 77b |
| 47 |
G ≤ GL(7,11) |
character 7a |
| 48 |
G ≤ GL(14,11) |
character 14a |
| 49 |
G ≤ GL(27,11) |
character 27a |
| 50 |
G ≤ GL(49,11) |
character 49a |
| 51 |
G ≤ GL(56,11) |
character 56a |
| 52 |
G ≤ GL(64,11) |
character 64a |
| 53 |
G ≤ GL(69,11) |
character 69a |
| 54 |
G ≤ GL(77a,11) |
character 77a |
| 55 |
G ≤ GL(77b,11) |
character 77b |
| 56 |
G ≤ GL(77c,11) |
character 77c |
| 57 |
G ≤ GL(106,11) |
character 106a |
| 58 |
G ≤ GL(119,11) |
character 119a |
| 59 |
G ≤ GL(209,11) |
character 209a |
| 60 |
G ≤ GL(22,19) |
character 22a |
| 61 |
G ≤ GL(34,19) |
character 34a |
| 62 |
G ≤ GL(43,19) |
character 43a |
| 63 |
G ≤ GL(55,19) |
character 55a |
| 64 |
G ≤ GL(76a,19) |
character 76a |
| 65 |
G ≤ GL(76b,19) |
character 76b |
| 66 |
G ≤ GL(77,19) |
character 77a |
| 67 |
G ≤ GL(133a,19) |
character 133a |
| 68 |
G ≤ GL(133b,19) |
character 133b |
| 69 |
G ≤ GL(133c,19) |
character 133c |
| 70 |
G ≤ GL(209,19) |
character 209a |
| 71 |
G ≤ GL(120a,27) |
character 120a |
| 72 |
G ≤ GL(120b,27) |
character 120b |
| 73 |
G ≤ GL(120c,27) |
character 120c |
| 74 |
G ≤ GL(56a,49) |
character 56a |
| 75 |
G ≤ GL(56b,49) |
character 56b |
| 76 |
G ≤ GL(77b,49) |
character 77b |
| 77 |
G ≤ GL(77c,49) |
character 77c |
| 78 |
G ≤ GL(133b,49) |
character 133b |
| 79 |
G ≤ GL(133c,49) |
character 133c |
| 80 |
G ≤ GL(120a,125) |
character 120a |
| 81 |
G ≤ GL(120b,125) |
character 120b |
| 82 |
G ≤ GL(120c,125) |
character 120c |
| 83 |
G ≤ GL(76a,ℤ) |
character 76a |
| 84 |
G ≤ GL(76b,ℤ) |
character 76b |
| 85 |
G ≤ GL(77a,ℤ) |
character 77a |
| 86 |
G ≤ GL(112,ℤ) |
character 56ab |
| 87 |
G ≤ GL(133a,ℤ) |
character 133a |
| 88 |
G ≤ GL(154a,ℤ) |
character 77bc |
| 89 |
G ≤ GL(209,ℤ) |
character 209a |
| 90 |
G ≤ GL(266,ℤ) |
character 133bc |
| 91 |
G ≤ GL(360,ℤ) |
character 120abc |