| 1 | G ≤ Sym(5040) | rank 8, on cosets of M11 < 2 × M11 |
| 2 | G ≤ GL(16a,3) | |
| 3 | G ≤ GL(16b,3) | |
| 4 | G ≤ GL(144,3) | |
| 5 | G ≤ GL(16a,5) | |
| 6 | G ≤ GL(16b,5) | |
| 7 | G ≤ GL(56a,5) | |
| 8 | G ≤ GL(56b,5) | |
| 9 | G ≤ GL(32,7) | |
| 10 | G ≤ GL(144,7) | |
| 11 | G ≤ GL(16,11) | |
| 12 | G ≤ GL(128,11) | |
| 13 | G ≤ GL(16a,49) | |
| 14 | G ≤ GL(16b,49) |
File created automatically by GAP on 22-Apr-2022.