| 1 | G ≤ Sym(9) | 3-trans., on cosets of 23:7:3 (2nd max.) |
| 2 | G ≤ Sym(28) | 2-trans., on cosets of 9:6 (3rd max.) |
| 3 | G ≤ Sym(36) | rank 3, on cosets of 7:6 (4th max.) |
| 4 | G ≤ GL(6,2) | |
| 5 | G ≤ GL(8,2) | |
| 6 | G ≤ GL(12,2) | |
| 7 | G ≤ GL(7,3) | |
| 8 | G ≤ GL(27,3) | |
| 9 | G ≤ GL(7,7) | |
| 10 | G ≤ GL(8,7) | |
| 11 | G ≤ GL(21,7) | |
| 12 | G ≤ GL(7,ℤ) | |
| 13 | G ≤ GL(8,ℤ) | |
| 14 | G ≤ GL(21,ℤ) | |
| 15 | G ≤ GL(27,ℤ) |
| (direct) |
| (composed) |
File created automatically by GAP on 22-Apr-2022.