| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(C32⋊C4) = C33⋊4M4(2) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.1(C3^2:C4) | 432,636 |
| C12.2(C32⋊C4) = C33⋊4C16 | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.2(C3^2:C4) | 432,413 |
| C12.3(C32⋊C4) = C33⋊7(C2×C8) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.3(C3^2:C4) | 432,635 |
| C12.4(C32⋊C4) = He3⋊1M4(2) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 72 | 6 | C12.4(C3^2:C4) | 432,274 |
| C12.5(C32⋊C4) = C4⋊(He3⋊C4) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 72 | 6 | C12.5(C3^2:C4) | 432,276 |
| C12.6(C32⋊C4) = C3×C32⋊M4(2) | φ: C32⋊C4/C3⋊S3 → C2 ⊆ Aut C12 | 48 | 4 | C12.6(C3^2:C4) | 432,629 |
| C12.7(C32⋊C4) = He3⋊2C16 | central extension (φ=1) | 144 | 3 | C12.7(C3^2:C4) | 432,57 |
| C12.8(C32⋊C4) = He3⋊2(C2×C8) | central extension (φ=1) | 72 | 3 | C12.8(C3^2:C4) | 432,273 |
| C12.9(C32⋊C4) = C4×He3⋊C4 | central extension (φ=1) | 72 | 3 | C12.9(C3^2:C4) | 432,275 |
| C12.10(C32⋊C4) = C3×C32⋊2C16 | central extension (φ=1) | 48 | 4 | C12.10(C3^2:C4) | 432,412 |
| C12.11(C32⋊C4) = C3×C3⋊S3⋊3C8 | central extension (φ=1) | 48 | 4 | C12.11(C3^2:C4) | 432,628 |