| 1 | G ≤ Sym(513) | 2-trans., on cosets of 23+6:(7:3 × S3) (3rd max.) |
| 2 | G ≤ Sym(3648) | rank 6, on cosets of S3 × L2(8):3 (4th max.) |
| 3 | G ≤ GL(24,2) | |
| 4 | G ≤ GL(54a,2) | |
| 5 | G ≤ GL(54b,2) | |
| 6 | G ≤ GL(192,2) | |
| 7 | G ≤ GL(432,2) | |
| 8 | G ≤ GL(512,2) | |
| 9 | G ≤ GL(56a,3) | |
| 10 | G ≤ GL(133a,3) | |
| 11 | G ≤ GL(266,3) |
File created automatically by GAP on 22-Apr-2022.