| 1 | G ≤ Sym(27) | rank 3, on cosets of 24:S5 (2nd max.) |
| 2 | G ≤ Sym(36) | rank 3, on cosets of S6 × 2 (3rd max.) |
| 3 | G ≤ Sym(40a) | rank 3, on cosets of 31+2+:2S4 (4th max.) |
| 4 | G ≤ Sym(40b) | rank 3, on cosets of 33:(S4 × 2) (5th max.) |
| 5 | G ≤ Sym(45) | rank 3, on cosets of 2.(A4 × A4).22 (6th max.) |
| 6 | G ≤ GL(6,2) | |
| 7 | G ≤ GL(8,2) | |
| 8 | G ≤ GL(14,2) | |
| 9 | G ≤ GL(40,2) | |
| 10 | G ≤ GL(64,2) | |
| 11 | G ≤ GL(5,3) |
File created automatically by GAP on 22-Apr-2022.