| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(S3×C12) = C3×C6.D8 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C4 | 96 | | C4.1(S3xC12) | 288,243 |
| C4.2(S3×C12) = C3×C6.SD16 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C4 | 96 | | C4.2(S3xC12) | 288,244 |
| C4.3(S3×C12) = C3×D12⋊C4 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C4 | 48 | 4 | C4.3(S3xC12) | 288,259 |
| C4.4(S3×C12) = C3×Dic6⋊C4 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C4 | 96 | | C4.4(S3xC12) | 288,658 |
| C4.5(S3×C12) = C3×D12.C4 | φ: S3×C12/C3×Dic3 → C2 ⊆ Aut C4 | 48 | 4 | C4.5(S3xC12) | 288,678 |
| C4.6(S3×C12) = C3×C42⋊4S3 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C4 | 24 | 2 | C4.6(S3xC12) | 288,239 |
| C4.7(S3×C12) = C3×C2.Dic12 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C4 | 96 | | C4.7(S3xC12) | 288,250 |
| C4.8(S3×C12) = C3×C2.D24 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C4 | 96 | | C4.8(S3xC12) | 288,255 |
| C4.9(S3×C12) = C12×Dic6 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C4 | 96 | | C4.9(S3xC12) | 288,639 |
| C4.10(S3×C12) = C3×C8○D12 | φ: S3×C12/C3×C12 → C2 ⊆ Aut C4 | 48 | 2 | C4.10(S3xC12) | 288,672 |
| C4.11(S3×C12) = C3×C6.Q16 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.11(S3xC12) | 288,241 |
| C4.12(S3×C12) = C3×C12.Q8 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.12(S3xC12) | 288,242 |
| C4.13(S3×C12) = C3×C12.53D4 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.13(S3xC12) | 288,256 |
| C4.14(S3×C12) = C3×C4⋊C4⋊7S3 | φ: S3×C12/S3×C6 → C2 ⊆ Aut C4 | 96 | | C4.14(S3xC12) | 288,663 |
| C4.15(S3×C12) = C3×S3×M4(2) | φ: S3×C12/S3×C6 → C2 ⊆ Aut C4 | 48 | 4 | C4.15(S3xC12) | 288,677 |
| C4.16(S3×C12) = S3×C48 | central extension (φ=1) | 96 | 2 | C4.16(S3xC12) | 288,231 |
| C4.17(S3×C12) = C3×D6.C8 | central extension (φ=1) | 96 | 2 | C4.17(S3xC12) | 288,232 |
| C4.18(S3×C12) = C12×C3⋊C8 | central extension (φ=1) | 96 | | C4.18(S3xC12) | 288,236 |
| C4.19(S3×C12) = C3×C42.S3 | central extension (φ=1) | 96 | | C4.19(S3xC12) | 288,237 |
| C4.20(S3×C12) = Dic3×C24 | central extension (φ=1) | 96 | | C4.20(S3xC12) | 288,247 |
| C4.21(S3×C12) = C3×C24⋊C4 | central extension (φ=1) | 96 | | C4.21(S3xC12) | 288,249 |
| C4.22(S3×C12) = C3×C42⋊2S3 | central extension (φ=1) | 96 | | C4.22(S3xC12) | 288,643 |
| C4.23(S3×C12) = S3×C2×C24 | central extension (φ=1) | 96 | | C4.23(S3xC12) | 288,670 |
| C4.24(S3×C12) = C6×C8⋊S3 | central extension (φ=1) | 96 | | C4.24(S3xC12) | 288,671 |