| 1 | G ≤ Sym(1980) | rank 17, on cosets of 23:L3(2) < 6 × 23:L3(2) |
| 3 | G ≤ GL(54a,7) | |
| 4 | G ≤ GL(66a,7) | |
| 5 | G ≤ GL(210a,7) | |
| 6 | G ≤ GL(252a,7) | |
| 7 | G ≤ GL(330a,7) | |
| 8 | G ≤ GL(420a,7) | |
| 9 | G ≤ GL(66a,25) | |
| 10 | G ≤ GL(66b,25) | |
| 11 | G ≤ GL(120a,25) | |
| 12 | G ≤ GL(126a,25) | |
| 13 | G ≤ GL(126b,25) | |
| 14 | G ≤ GL(210a,25) | |
| 15 | G ≤ GL(210b,25) | |
| 16 | G ≤ GL(210c,25) | |
| 17 | G ≤ GL(330a,25) | |
| 18 | G ≤ GL(126a,49) | |
| 19 | G ≤ GL(126b,49) | |
| 20 | G ≤ GL(210b,49) | |
| 21 | G ≤ GL(210c,49) | |
| 22 | G ≤ GL(36a,121) | |
| 23 | G ≤ GL(36a1,121) | |
| 24 | G ≤ GL(66a,121) | |
| 25 | G ≤ GL(66b,121) | |
| 26 | G ≤ GL(90a,121) | |
| 27 | G ≤ GL(120a,121) | |
| 28 | G ≤ GL(174a,121) | |
| 29 | G ≤ GL(210a,121) | |
| 30 | G ≤ GL(330a,121) |
| 1 | 6.L3(4) |
| 2 | 25:3A6 |
| 3 | 2 × (3.A7) |
| 4 | 2 × (3.A7) |
| 5 | 3 × 25:S5 |
| 6 | 6 × 23:L3(2) |
| 7 | Isoclinic(3.A6.23 × 2) |
| 7 | Isoclinic(3.A6.23 × 2) |
| 8 | 6 × L2(11) |
File created automatically by GAP on 22-Apr-2022.