| 1 | G ≤ Sym(16) | 16-trans., on cosets of S15 (2nd max.) |
| 2 | G ≤ Sym(120) | rank 3, on cosets of S14 × 2 (3rd max.) |
| 3 | G ≤ Sym(560) | rank 4, on cosets of S13 × S3 (4th max.) |
| 4 | G ≤ Sym(1820) | rank 5, on cosets of S12 × S4 (5th max.) |
| 5 | G ≤ GL(15,ℤ) | |
| 6 | G ≤ GL(104,ℤ) | |
| 7 | G ≤ GL(105,ℤ) | |
| 8 | G ≤ GL(440,ℤ) | |
| 9 | G ≤ GL(455,ℤ) |
File created automatically by GAP on 22-Apr-2022.