| 1 |
G ≤ Sym(100) |
rank 3, on cosets of U3(3) (1st max.) |
| 2 |
G ≤ Sym(280) |
rank 4, on cosets of 3.A6.22 (2nd max.) |
| 3 |
G ≤ Sym(315) |
rank 6, on cosets of 21+4−:A5 (3rd max.) |
| 4 |
G ≤ Sym(525) |
rank 6, on cosets of 22+4:(3 × S3) (4th max.) |
| 5 |
G ≤ Sym(840) |
rank 7, on cosets of A4 × A5 (5th max.) |
| 6 |
G ≤ Sym(1008) |
rank 11, on cosets of A5 × D10 (6th max.) |
| 7 |
G ≤ Sym(1800) |
rank 18, on cosets of L3(2).2 (7th max.) |
| 8 |
G ≤ GL(36,2) |
character 36a |
| 9 |
G ≤ GL(84,2) |
character 84a |
| 10 |
G ≤ GL(160,2) |
character 160a |
| 11 |
G ≤ GL(36,3) |
character 36a |
| 12 |
G ≤ GL(63,3) |
character 63a |
| 13 |
G ≤ GL(90,3) |
character 90a |
| 14 |
G ≤ GL(133,3) |
character 133a |
| 15 |
G ≤ GL(225,3) |
character 225a |
| 16 |
G ≤ GL(6a,4) |
character 6a |
| 17 |
G ≤ GL(14a,4) |
character 14a |
| 18 |
G ≤ GL(64a,4) |
character 64a |
| 19 |
G ≤ GL(14,5) |
character 14a |
| 20 |
G ≤ GL(21,5) |
character 21a |
| 21 |
G ≤ GL(41,5) |
character 41a |
| 22 |
G ≤ GL(70,5) |
character 70a |
| 23 |
G ≤ GL(85,5) |
character 85a |
| 24 |
G ≤ GL(90,5) |
character 90a |
| 25 |
G ≤ GL(175,5) |
character 175a |
| 26 |
G ≤ GL(189,5) |
character 189a |
| 27 |
G ≤ GL(225,5) |
character 225a |
| 28 |
G ≤ GL(300,5) |
character 300a |
| 29 |
G ≤ GL(36,7) |
character 36a |
| 30 |
G ≤ GL(63,7) |
character 63a |
| 31 |
G ≤ GL(89,7) |
character 89a |
| 32 |
G ≤ GL(101,7) |
character 101a |
| 33 |
G ≤ GL(124,7) |
character 124a |
| 34 |
G ≤ GL(126,7) |
character 126a |
| 35 |
G ≤ GL(175,7) |
character 175a |
| 36 |
G ≤ GL(199,7) |
character 199a |
| 37 |
G ≤ GL(336,7) |
character 336a |
| 38 |
G ≤ GL(13a,9) |
character 13a |
| 39 |
G ≤ GL(21a,9) |
character 21a |
| 40 |
G ≤ GL(57a,9) |
character 57a |
| 41 |
G ≤ GL(189a,9) |
character 189a |
| 42 |
G ≤ GL(14a,49) |
character 14a |
| 43 |
G ≤ GL(21a,49) |
character 21a |
| 44 |
G ≤ GL(70a,49) |
character 70a |
| 45 |
G ≤ GL(189a,49) |
character 189a |
| 46 |
G ≤ GL(224b,49) |
character 224b |
| 47 |
G ≤ GL(28,ℤ) |
character 14ab |
| 48 |
G ≤ GL(36,ℤ) |
character 36a |
| 49 |
G ≤ GL(42,ℤ) |
character 21ab |
| 50 |
G ≤ GL(63,ℤ) |
character 63a |
| 51 |
G ≤ GL(90,ℤ) |
character 90a |
| 52 |
G ≤ GL(126,ℤ) |
character 126a |
| 53 |
G ≤ GL(140,ℤ) |
character 70ab |
| 54 |
G ≤ GL(160,ℤ) |
character 160a |
| 55 |
G ≤ GL(175,ℤ) |
character 175a |
| 56 |
G ≤ GL(225,ℤ) |
character 225a |
| 57 |
G ≤ GL(378,ℤ) |
character 189ab |
| 58 |
G ≤ GL(448,ℤ) |
character 224ab |
| 59 |
G ≤ GL(14a,Field([Sqrt(5)])) |
character 14a |
| 60 |
G ≤ GL(14b,Field([Sqrt(5)])) |
character 14b |
| 61 |
G ≤ GL(21a,Field([Sqrt(5)])) |
character 21a |
| 62 |
G ≤ GL(21b,Field([Sqrt(5)])) |
character 21b |