| 1 | G ≤ Sym(15) | 15-trans., on cosets of S14 (2nd max.) |
| 2 | G ≤ Sym(105) | rank 3, on cosets of S13 × 2 (3rd max.) |
| 3 | G ≤ Sym(455) | rank 4, on cosets of S12 × S3 (4th max.) |
| 4 | G ≤ Sym(1365) | rank 5, on cosets of S11 × S4 (5th max.) |
| 5 | G ≤ GL(14,ℤ) | |
| 6 | G ≤ GL(90,ℤ) | |
| 7 | G ≤ GL(91,ℤ) | |
| 8 | G ≤ GL(350,ℤ) | |
| 9 | G ≤ GL(364,ℤ) |
File created automatically by GAP on 22-Apr-2022.