| 1 | G ≤ Sym(14) | 3-trans., on cosets of 13:12 (2nd max.) |
| 2 | G ≤ Sym(78) | rank 7, on cosets of D28 (3rd max.) |
| 3 | G ≤ Sym(91a) | rank 8, on cosets of D24 (4th max.) |
| 4 | G ≤ GL(12a,2) | |
| 5 | G ≤ GL(14,2) | |
| 6 | G ≤ GL(3a,13) |
File created automatically by GAP on 22-Apr-2022.