| 1 | G ≤ Sym(352a) | rank 5, on cosets of A7 < 2 × A7 |
| 3 | G ≤ Sym(660) | rank 7, on cosets of 23:L3(2) < 2 × 23:L3(2) |
| 5 | G ≤ GL(56,3) | character 56a |
| 6 | G ≤ GL(120,3) | character 120a |
| 7 | G ≤ GL(126b,3) | character 126b |
| 8 | G ≤ GL(210,3) | character 210b |
| 9 | G ≤ GL(28a,5) | character 28a |
| 10 | G ≤ GL(28b,5) | character 28b |
| 11 | G ≤ GL(120,5) | character 120a |
| 12 | G ≤ GL(210,5) | character 210b |
| 13 | G ≤ GL(330,5) | character 330a |
| 14 | G ≤ GL(440,5) | character 440a |
| 15 | G ≤ GL(10,7) | character 10a |
| 16 | G ≤ GL(56,7) | character 56a |
| 17 | G ≤ GL(120,7) | character 120a |
| 18 | G ≤ GL(210,7) | character 210b |
| 19 | G ≤ GL(252,7) | character 126ab |
| 20 | G ≤ GL(308,7) | character 154bc |
| 21 | G ≤ GL(320,7) | character 320a |
| 22 | G ≤ GL(10a,9) | character 10a |
| 23 | G ≤ GL(10b,9) | character 10b |
| 24 | G ≤ GL(154,9) | character 154b |
| 25 | G ≤ GL(10a,11) | character 10a |
| 26 | G ≤ GL(10b,11) | character 10b |
| 27 | G ≤ GL(56,11) | character 56a |
| 28 | G ≤ GL(64,11) | character 64a |
| 29 | G ≤ GL(126,11) | character 126a |
| 30 | G ≤ GL(308,11) | character 154bc |
| 31 | G ≤ GL(330,11) | character 330a |
| 32 | G ≤ GL(440,11) | character 440a |
| 33 | G ≤ GL(10a,25) | character 10a |
| 34 | G ≤ GL(10b,25) | character 10b |
| 35 | G ≤ GL(126a,25) | character 126a |
| 36 | G ≤ GL(126a,49) | character 126a |
| 37 | G ≤ GL(126b,49) | character 126b |
| 38 | G ≤ GL(154a,49) | character 154b |
| 39 | G ≤ GL(154b,49) | character 154c |
| 40 | G ≤ GL(154a,121) | character 154b |
| 41 | G ≤ GL(154b,121) | character 154c |
| 42 | G ≤ GL(20,ℤ) | character 10ab |
| 43 | G ≤ GL(56,ℤ) | character 56a |
| 44 | G ≤ GL(120,ℤ) | character 120a |
| 45 | G ≤ GL(210,ℤ) | character 210b |
| 46 | G ≤ GL(10a,Z/4Z) |
| 1 | 2.L3(4) |
| 2 | 25:A6 |
| 3 | 2 × A7 |
| 4 | 2 × A7 |
| 5 | 25:S5 |
| 6 | 2 × 23:L3(2) |
| 7 | (2 × A6).23 |
| 7 | (2 × A6).23 |
| 8 | 2 × L2(11) |
File created automatically by GAP on 22-Apr-2022.