| 1 | G ≤ Sym(80) | rank 16, on cosets of 32 < 32:8 |
| 2 | G ≤ Sym(144) | rank 32, on cosets of 5 < 2.A5 |
| 3 | G ≤ Sym(240a) | rank 88, on cosets of 3 < 32:8 |
| 4 | G ≤ Sym(240b) | rank 88, on cosets of 3 < 32:8 |
| 5 | G ≤ GL(4,3) | |
| 6 | G ≤ GL(12,3) | |
| 7 | G ≤ GL(4a,5) | |
| 8 | G ≤ GL(4b,5) | |
| 9 | G ≤ GL(20,5) | |
| 10 | G ≤ GL(2a,9) | |
| 11 | G ≤ GL(2b,9) | |
| 12 | G ≤ GL(6a,9) | |
| 13 | G ≤ GL(6b,9) | |
| 14 | G ≤ GL(10a,25) | |
| 15 | G ≤ GL(10b,25) | |
| 16 | G ≤ GL(4,Field([Sqrt(-3)])) | |
| 17 | G ≤ GL(4a,Field([Sqrt(-3)])) | |
| 18 | G ≤ GL(2a,QuaternionAlgebra([Sqrt(3)])) |
| 1 | 2.A5 |
| 2 | 2.A5 |
| 3 | 32:8 |
| 4 | 2.S4 |
| 5 | 2.S4 |
File created automatically by GAP on 22-Apr-2022.