| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(C3⋊C8) = C36⋊C8 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | | C12.1(C3:C8) | 288,11 |
| C12.2(C3⋊C8) = C36.C8 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 144 | 2 | C12.2(C3:C8) | 288,19 |
| C12.3(C3⋊C8) = C24.94D6 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 144 | | C12.3(C3:C8) | 288,287 |
| C12.4(C3⋊C8) = C9⋊C32 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | 2 | C12.4(C3:C8) | 288,1 |
| C12.5(C3⋊C8) = C4×C9⋊C8 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | | C12.5(C3:C8) | 288,9 |
| C12.6(C3⋊C8) = C2×C9⋊C16 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | | C12.6(C3:C8) | 288,18 |
| C12.7(C3⋊C8) = C48.S3 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | | C12.7(C3:C8) | 288,65 |
| C12.8(C3⋊C8) = C2×C24.S3 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 288 | | C12.8(C3:C8) | 288,286 |
| C12.9(C3⋊C8) = C3×C12.C8 | φ: C3⋊C8/C12 → C2 ⊆ Aut C12 | 48 | 2 | C12.9(C3:C8) | 288,246 |
| C12.10(C3⋊C8) = C3×C3⋊C32 | central extension (φ=1) | 96 | 2 | C12.10(C3:C8) | 288,64 |
| C12.11(C3⋊C8) = C6×C3⋊C16 | central extension (φ=1) | 96 | | C12.11(C3:C8) | 288,245 |