| 1 | G ≤ Sym(400a) | rank 3, on cosets of 71+2+.(3 × SL(2, 7)) (1st max.) |
| 2 | G ≤ Sym(400b) | rank 3, on cosets of 73:(3 × PGL(2, 7)) (2nd max.) |
| 3 | G ≤ Sym(1176) | rank 5, on cosets of L2(49).22 (3rd max.) |
| 4 | G ≤ Sym(1225) | rank 5, on cosets of 2.(L2(7) × L2(7)).2 (4th max.) |
| 5 | G ≤ GL(5,7) | |
| 6 | G ≤ GL(126,ℤ) | |
| 7 | G ≤ GL(175a,ℤ) | |
| 8 | G ≤ GL(175b,ℤ) | |
| 9 | G ≤ GL(224,ℤ) | |
| 10 | G ≤ GL(25a,Field([Sqrt(-7)])) | |
| 11 | G ≤ GL(25b,Field([Sqrt(-7)])) |
File created automatically by GAP on 22-Apr-2022.