| 1 |
G ≤ Sym(275) |
rank 3, on cosets of U4(3) (1st max.) |
| 2 |
G ≤ Sym(2025a) |
rank 4, on cosets of M22 (2nd max.) |
| 3 |
G ≤ Sym(2025b) |
rank 4, on cosets of M22 (3rd max.) |
| 4 |
G ≤ Sym(7128) |
rank 5, on cosets of U3(5) (4th max.) |
| 5 |
G ≤ Sym(15400a) |
rank 5, on cosets of 31+4+:2S5 (5th max.) |
| 6 |
G ≤ Sym(15400b) |
rank 10, on cosets of 34:M10 (6th max.) |
| 7 |
G ≤ Sym(22275a) |
rank 13, on cosets of L3(4).22 (7th max.) |
| 8 |
G ≤ Sym(22275b) |
rank 6, on cosets of 2.A8 (8th max.) |
| 9 |
G ≤ Sym(22275c) |
rank 13, on cosets of 24:A7 (10th max.) |
| 10 |
G ≤ Sym(22275d) |
rank 13, on cosets of 24:A7 (9th max.) |
| 11 |
G ≤ Sym(113400) |
rank 39, on cosets of M11 (11th max.) |
| 12 |
G ≤ Sym(299376) |
rank 114, on cosets of 51+2+:3:8 (12th max.) |
| 13 |
G ≤ GL(22,2) |
character 22a |
| 14 |
G ≤ GL(230,2) |
character 230a |
| 15 |
G ≤ GL(748a,2) |
character 748a |
| 16 |
G ≤ GL(748b,2) |
character 748b |
| 17 |
G ≤ GL(21,3) |
character 21a |
| 18 |
G ≤ GL(104a,3) |
character 104a |
| 19 |
G ≤ GL(104b,3) |
character 104b |
| 20 |
G ≤ GL(210,3) |
character 210a |
| 21 |
G ≤ GL(560,3) |
character 560a |
| 22 |
G ≤ GL(896a,4) |
character 896a |
| 23 |
G ≤ GL(896b,4) |
character 896b |
| 24 |
G ≤ GL(21,5) |
character 21a |
| 25 |
G ≤ GL(210,5) |
character 210a |
| 26 |
G ≤ GL(230,5) |
character 230a |
| 27 |
G ≤ GL(560,5) |
character 560a |
| 28 |
G ≤ GL(896b,5) |
character 896b |
| 29 |
G ≤ GL(22,7) |
character 22a |
| 30 |
G ≤ GL(231,7) |
character 231a |
| 31 |
G ≤ GL(252,7) |
character 252a |
| 32 |
G ≤ GL(605a,9) |
character 605a |
| 33 |
G ≤ GL(605b,9) |
character 605b |
| 34 |
G ≤ GL(22,11) |
character 22a |
| 35 |
G ≤ GL(231,11) |
character 231a |
| 36 |
G ≤ GL(251,11) |
character 251a |
| 37 |
G ≤ GL(896,11) |
character 896a |
| 38 |
G ≤ GL(896b,23) |
character 896b |
| 39 |
G ≤ GL(1200a,25) |
character 1200a |
| 40 |
G ≤ GL(770a,49) |
character 770a |
| 41 |
G ≤ GL(770b,49) |
character 770b |
| 42 |
G ≤ GL(896a,49) |
character 896a |
| 43 |
G ≤ GL(896b,49) |
character 896b |
| 44 |
G ≤ GL(770a,121) |
character 770a |
| 45 |
G ≤ GL(770b,121) |
character 770b |
| 46 |
G ≤ GL(231,ℤ) |
character 231a |