| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(S3×C3×C6) = C32×D4⋊S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 72 | | C4.1(S3xC3xC6) | 432,475 |
| C4.2(S3×C3×C6) = C32×D4.S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 72 | | C4.2(S3xC3xC6) | 432,476 |
| C4.3(S3×C3×C6) = C32×Q8⋊2S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 144 | | C4.3(S3xC3xC6) | 432,477 |
| C4.4(S3×C3×C6) = C32×C3⋊Q16 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 144 | | C4.4(S3xC3xC6) | 432,478 |
| C4.5(S3×C3×C6) = C32×D4⋊2S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 72 | | C4.5(S3xC3xC6) | 432,705 |
| C4.6(S3×C3×C6) = S3×Q8×C32 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 144 | | C4.6(S3xC3xC6) | 432,706 |
| C4.7(S3×C3×C6) = C32×Q8⋊3S3 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C4 | 144 | | C4.7(S3xC3xC6) | 432,707 |
| C4.8(S3×C3×C6) = C32×C24⋊C2 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.8(S3xC3xC6) | 432,466 |
| C4.9(S3×C3×C6) = C32×D24 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.9(S3xC3xC6) | 432,467 |
| C4.10(S3×C3×C6) = C32×Dic12 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.10(S3xC3xC6) | 432,468 |
| C4.11(S3×C3×C6) = C3×C6×Dic6 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C4 | 144 | | C4.11(S3xC3xC6) | 432,700 |
| C4.12(S3×C3×C6) = S3×C3×C24 | central extension (φ=1) | 144 | | C4.12(S3xC3xC6) | 432,464 |
| C4.13(S3×C3×C6) = C32×C8⋊S3 | central extension (φ=1) | 144 | | C4.13(S3xC3xC6) | 432,465 |
| C4.14(S3×C3×C6) = C3×C6×C3⋊C8 | central extension (φ=1) | 144 | | C4.14(S3xC3xC6) | 432,469 |
| C4.15(S3×C3×C6) = C32×C4.Dic3 | central extension (φ=1) | 72 | | C4.15(S3xC3xC6) | 432,470 |
| C4.16(S3×C3×C6) = C32×C4○D12 | central extension (φ=1) | 72 | | C4.16(S3xC3xC6) | 432,703 |