| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C6×C3⋊S3) = C3×C32⋊7D8 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.1(C6xC3:S3) | 432,491 |
| C4.2(C6×C3⋊S3) = C3×C32⋊9SD16 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.2(C6xC3:S3) | 432,492 |
| C4.3(C6×C3⋊S3) = C3×C32⋊11SD16 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.3(C6xC3:S3) | 432,493 |
| C4.4(C6×C3⋊S3) = C3×C32⋊7Q16 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.4(C6xC3:S3) | 432,494 |
| C4.5(C6×C3⋊S3) = C3×C12.D6 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.5(C6xC3:S3) | 432,715 |
| C4.6(C6×C3⋊S3) = C3×Q8×C3⋊S3 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.6(C6xC3:S3) | 432,716 |
| C4.7(C6×C3⋊S3) = C3×C12.26D6 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.7(C6xC3:S3) | 432,717 |
| C4.8(C6×C3⋊S3) = C3×C24⋊2S3 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.8(C6xC3:S3) | 432,482 |
| C4.9(C6×C3⋊S3) = C3×C32⋊5D8 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.9(C6xC3:S3) | 432,483 |
| C4.10(C6×C3⋊S3) = C3×C32⋊5Q16 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.10(C6xC3:S3) | 432,484 |
| C4.11(C6×C3⋊S3) = C6×C32⋊4Q8 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.11(C6xC3:S3) | 432,710 |
| C4.12(C6×C3⋊S3) = C3⋊S3×C24 | central extension (φ=1) | 144 | | C4.12(C6xC3:S3) | 432,480 |
| C4.13(C6×C3⋊S3) = C3×C24⋊S3 | central extension (φ=1) | 144 | | C4.13(C6xC3:S3) | 432,481 |
| C4.14(C6×C3⋊S3) = C6×C32⋊4C8 | central extension (φ=1) | 144 | | C4.14(C6xC3:S3) | 432,485 |
| C4.15(C6×C3⋊S3) = C3×C12.58D6 | central extension (φ=1) | 72 | | C4.15(C6xC3:S3) | 432,486 |
| C4.16(C6×C3⋊S3) = C3×C12.59D6 | central extension (φ=1) | 72 | | C4.16(C6xC3:S3) | 432,713 |