| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C4×C3⋊S3) = C62.113D4 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 144 | | C4.1(C4xC3:S3) | 288,284 |
| C4.2(C4×C3⋊S3) = C62.114D4 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 288 | | C4.2(C4xC3:S3) | 288,285 |
| C4.3(C4×C3⋊S3) = C62.37D4 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 72 | | C4.3(C4xC3:S3) | 288,300 |
| C4.4(C4×C3⋊S3) = C62.231C23 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 288 | | C4.4(C4xC3:S3) | 288,744 |
| C4.5(C4×C3⋊S3) = C24.47D6 | φ: C4×C3⋊S3/C3⋊Dic3 → C2 ⊆ Aut C4 | 144 | | C4.5(C4xC3:S3) | 288,764 |
| C4.6(C4×C3⋊S3) = C122⋊C2 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C4 | 72 | | C4.6(C4xC3:S3) | 288,280 |
| C4.7(C4×C3⋊S3) = C6.4Dic12 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.7(C4xC3:S3) | 288,291 |
| C4.8(C4×C3⋊S3) = C62.84D4 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.8(C4xC3:S3) | 288,296 |
| C4.9(C4×C3⋊S3) = C4×C32⋊4Q8 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C4 | 288 | | C4.9(C4xC3:S3) | 288,725 |
| C4.10(C4×C3⋊S3) = C24.95D6 | φ: C4×C3⋊S3/C3×C12 → C2 ⊆ Aut C4 | 144 | | C4.10(C4xC3:S3) | 288,758 |
| C4.11(C4×C3⋊S3) = C12.9Dic6 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 288 | | C4.11(C4xC3:S3) | 288,282 |
| C4.12(C4×C3⋊S3) = C12.10Dic6 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 288 | | C4.12(C4xC3:S3) | 288,283 |
| C4.13(C4×C3⋊S3) = C62.8Q8 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.13(C4xC3:S3) | 288,297 |
| C4.14(C4×C3⋊S3) = C62.236C23 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 144 | | C4.14(C4xC3:S3) | 288,749 |
| C4.15(C4×C3⋊S3) = M4(2)×C3⋊S3 | φ: C4×C3⋊S3/C2×C3⋊S3 → C2 ⊆ Aut C4 | 72 | | C4.15(C4xC3:S3) | 288,763 |
| C4.16(C4×C3⋊S3) = C16×C3⋊S3 | central extension (φ=1) | 144 | | C4.16(C4xC3:S3) | 288,272 |
| C4.17(C4×C3⋊S3) = C48⋊S3 | central extension (φ=1) | 144 | | C4.17(C4xC3:S3) | 288,273 |
| C4.18(C4×C3⋊S3) = C4×C32⋊4C8 | central extension (φ=1) | 288 | | C4.18(C4xC3:S3) | 288,277 |
| C4.19(C4×C3⋊S3) = C122.C2 | central extension (φ=1) | 288 | | C4.19(C4xC3:S3) | 288,278 |
| C4.20(C4×C3⋊S3) = C8×C3⋊Dic3 | central extension (φ=1) | 288 | | C4.20(C4xC3:S3) | 288,288 |
| C4.21(C4×C3⋊S3) = C24⋊Dic3 | central extension (φ=1) | 288 | | C4.21(C4xC3:S3) | 288,290 |
| C4.22(C4×C3⋊S3) = C122⋊16C2 | central extension (φ=1) | 144 | | C4.22(C4xC3:S3) | 288,729 |
| C4.23(C4×C3⋊S3) = C2×C8×C3⋊S3 | central extension (φ=1) | 144 | | C4.23(C4xC3:S3) | 288,756 |
| C4.24(C4×C3⋊S3) = C2×C24⋊S3 | central extension (φ=1) | 144 | | C4.24(C4xC3:S3) | 288,757 |