| 1 | G ≤ Sym(50) | 2-trans., on cosets of 72:24 (1st max.) |
| 2 | G ≤ Sym(175a) | rank 5, on cosets of L3(2).2 (2nd max.) |
| 3 | G ≤ Sym(175b) | rank 5, on cosets of L3(2).2 (3rd max.) |
| 4 | G ≤ Sym(980a) | rank 24, on cosets of A5 (4th max.) |
| 5 | G ≤ Sym(980b) | rank 24, on cosets of A5 (5th max.) |
| 6 | G ≤ Sym(1176) | rank 36, on cosets of D50 (6th max.) |
| 7 | G ≤ Sym(1225) | rank 39, on cosets of D48 (7th max.) |
| 8 | G ≤ GL(4,7) | |
| 9 | G ≤ GL(3a,49) | |
| 10 | G ≤ GL(3b,49) |
File created automatically by GAP on 22-Apr-2022.