| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×C32⋊C4) = C3⋊S3.5D8 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 24 | 8+ | C4.1(C2xC3^2:C4) | 288,430 |
| C4.2(C2×C32⋊C4) = C32⋊6C4≀C2 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8- | C4.2(C2xC3^2:C4) | 288,431 |
| C4.3(C2×C32⋊C4) = C3⋊S3.5Q16 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8- | C4.3(C2xC3^2:C4) | 288,432 |
| C4.4(C2×C32⋊C4) = C32⋊7C4≀C2 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8+ | C4.4(C2xC3^2:C4) | 288,433 |
| C4.5(C2×C32⋊C4) = C62.(C2×C4) | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8- | C4.5(C2xC3^2:C4) | 288,935 |
| C4.6(C2×C32⋊C4) = C12⋊S3.C4 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8+ | C4.6(C2xC3^2:C4) | 288,937 |
| C4.7(C2×C32⋊C4) = Q8×C32⋊C4 | φ: C2×C32⋊C4/C32⋊C4 → C2 ⊆ Aut C4 | 48 | 8- | C4.7(C2xC3^2:C4) | 288,938 |
| C4.8(C2×C32⋊C4) = C8⋊(C32⋊C4) | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.8(C2xC3^2:C4) | 288,416 |
| C4.9(C2×C32⋊C4) = C3⋊S3.4D8 | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.9(C2xC3^2:C4) | 288,417 |
| C4.10(C2×C32⋊C4) = (C3×C24).C4 | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.10(C2xC3^2:C4) | 288,418 |
| C4.11(C2×C32⋊C4) = C8.(C32⋊C4) | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | 4 | C4.11(C2xC3^2:C4) | 288,419 |
| C4.12(C2×C32⋊C4) = C2×C32⋊M4(2) | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 48 | | C4.12(C2xC3^2:C4) | 288,930 |
| C4.13(C2×C32⋊C4) = C3⋊S3⋊M4(2) | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 24 | 4 | C4.13(C2xC3^2:C4) | 288,931 |
| C4.14(C2×C32⋊C4) = (C6×C12)⋊5C4 | φ: C2×C32⋊C4/C2×C3⋊S3 → C2 ⊆ Aut C4 | 24 | 4 | C4.14(C2xC3^2:C4) | 288,934 |
| C4.15(C2×C32⋊C4) = C3⋊S3⋊3C16 | central extension (φ=1) | 48 | 4 | C4.15(C2xC3^2:C4) | 288,412 |
| C4.16(C2×C32⋊C4) = C32⋊3M5(2) | central extension (φ=1) | 48 | 4 | C4.16(C2xC3^2:C4) | 288,413 |
| C4.17(C2×C32⋊C4) = C8×C32⋊C4 | central extension (φ=1) | 48 | 4 | C4.17(C2xC3^2:C4) | 288,414 |
| C4.18(C2×C32⋊C4) = (C3×C24)⋊C4 | central extension (φ=1) | 48 | 4 | C4.18(C2xC3^2:C4) | 288,415 |
| C4.19(C2×C32⋊C4) = C2×C32⋊2C16 | central extension (φ=1) | 96 | | C4.19(C2xC3^2:C4) | 288,420 |
| C4.20(C2×C32⋊C4) = C62.4C8 | central extension (φ=1) | 48 | 4 | C4.20(C2xC3^2:C4) | 288,421 |
| C4.21(C2×C32⋊C4) = C2×C3⋊S3⋊3C8 | central extension (φ=1) | 48 | | C4.21(C2xC3^2:C4) | 288,929 |