| 1 | G ≤ Sym(12a) | rank 3, on cosets of 24:D10 < 2 × 24:D10 |
| 2 | G ≤ Sym(12b) | rank 3, on cosets of 24:D10 < 2 × 24:D10 |
| 3 | G ≤ Sym(20a) | rank 4, on cosets of 24:S3 < 2 × 24:S3 |
| 4 | G ≤ Sym(20b) | rank 4, on cosets of 24:S3 < 2 × 24:S3 |
| 5 | G ≤ GL(6a,ℤ) | |
| 6 | G ≤ GL(6b,ℤ) | |
| 7 | G ≤ GL(10a,ℤ) | |
| 8 | G ≤ GL(10b,ℤ) | |
| 9 | G ≤ GL(20,ℤ) | |
| 10 | G ≤ GL(24,ℤ) | |
| 11 | G ≤ GL(12a,Field([Sqrt(5)])) | |
| 12 | G ≤ GL(12b,Field([Sqrt(5)])) | |
| 13 | G ≤ GL(12b,Field([Sqrt(5)])) |
File created automatically by GAP on 22-Apr-2022.