| 1 | G ≤ Sym(19) | 19-trans., on cosets of S18 (2nd max.) |
| 2 | G ≤ Sym(171) | rank 3, on cosets of S17 × 2 (3rd max.) |
| 3 | G ≤ Sym(969) | rank 4, on cosets of S16 × S3 (4th max.) |
| 4 | G ≤ GL(18,ℤ) | |
| 5 | G ≤ GL(152,ℤ) | |
| 6 | G ≤ GL(153,ℤ) |
File created automatically by GAP on 22-Apr-2022.