| 1 | G ≤ Sym(17) | 17-trans., on cosets of S16 (2nd max.) |
| 2 | G ≤ Sym(136) | rank 3, on cosets of S15 × 2 (3rd max.) |
| 3 | G ≤ Sym(680) | rank 4, on cosets of S14 × S3 (4th max.) |
| 4 | G ≤ Sym(2380) | rank 5, on cosets of S13 × S4 (5th max.) |
| 5 | G ≤ GL(16,ℤ) | |
| 6 | G ≤ GL(119,ℤ) | |
| 7 | G ≤ GL(120,ℤ) | |
| 8 | G ≤ GL(544,ℤ) | |
| 9 | G ≤ GL(560,ℤ) |
File created automatically by GAP on 22-Apr-2022.