| 1 | G ≤ Sym(112) | rank 3, on cosets of 34:(2 × A6.22) (4th max.) |
| 2 | G ≤ Sym(252) | rank 5, on cosets of U4(2).2 × 2 < U4(3).(22)122 |
| 3 | G ≤ Sym(280) | rank 3, on cosets of 31+4+.21+4−.D12 (5th max.) |
| 4 | G ≤ Sym(324) | rank 5, on cosets of L3(4):22 < U4(3).(22)133 |
| 5 | G ≤ Sym(540) | rank 4, on cosets of (U3(3) × 4):2 (6th max.) |
| 6 | G ≤ Sym(1134) | rank 8, on cosets of 25:S6 < U4(3).(22)122 |
| 7 | G ≤ Sym(2835) | rank 9, on cosets of 4(S4 × S4).22 (7th max.) |
| 8 | G ≤ Sym(4536) | rank 15, on cosets of (A6.22 × 2).2 (8th max.) |
| 9 | G ≤ Sym(5184) | rank 17, on cosets of S7 < U4(3).(22)122 |
| 10 | G ≤ Sym(8505) | rank 22, on cosets of 43.(2 × S4) (9th max.) |
| 11 | G ≤ Sym(9072) | rank 24, on cosets of A6.22 × 2 < (A6.22 × 2).2 |
File created automatically by GAP on 22-Apr-2022.