| 1 | G ≤ Sym(18) | 18-trans., on cosets of S17 (2nd max.) |
| 2 | G ≤ Sym(153) | rank 3, on cosets of S16 × 2 (3rd max.) |
| 3 | G ≤ Sym(816) | rank 4, on cosets of S15 × S3 (4th max.) |
| 4 | G ≤ Sym(3060) | rank 5, on cosets of S14 × S4 (5th max.) |
| 5 | G ≤ GL(17,ℤ) | |
| 6 | G ≤ GL(135,ℤ) | |
| 7 | G ≤ GL(136,ℤ) |
File created automatically by GAP on 22-Apr-2022.