| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1(C2×A4) = A4×Dic6 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 6- | C12.1(C2xA4) | 288,918 |
| C12.2(C2×A4) = Dic6.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 4+ | C12.2(C2xA4) | 288,924 |
| C12.3(C2×A4) = D12.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 48 | 4- | C12.3(C2xA4) | 288,926 |
| C12.4(C2×A4) = A4×C3⋊C8 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.4(C2xA4) | 288,408 |
| C12.5(C2×A4) = SL2(𝔽3).Dic3 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 96 | 4 | C12.5(C2xA4) | 288,410 |
| C12.6(C2×A4) = S3×C4.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 48 | 4 | C12.6(C2xA4) | 288,925 |
| C12.7(C2×A4) = D4×C3.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 36 | 6 | C12.7(C2xA4) | 288,344 |
| C12.8(C2×A4) = Q8×C3.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.8(C2xA4) | 288,346 |
| C12.9(C2×A4) = 2+ 1+4⋊C9 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 4 | C12.9(C2xA4) | 288,348 |
| C12.10(C2×A4) = 2- 1+4⋊C9 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 144 | 4 | C12.10(C2xA4) | 288,349 |
| C12.11(C2×A4) = C3×Q8×A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.11(C2xA4) | 288,982 |
| C12.12(C2×A4) = C3×Q8.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 72 | 4 | C12.12(C2xA4) | 288,984 |
| C12.13(C2×A4) = C3×D4.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C12 | 48 | 4 | C12.13(C2xA4) | 288,985 |
| C12.14(C2×A4) = C8×C3.A4 | central extension (φ=1) | 72 | 3 | C12.14(C2xA4) | 288,76 |
| C12.15(C2×A4) = Q8.C36 | central extension (φ=1) | 144 | 2 | C12.15(C2xA4) | 288,77 |
| C12.16(C2×A4) = C2×C4×C3.A4 | central extension (φ=1) | 72 | | C12.16(C2xA4) | 288,343 |
| C12.17(C2×A4) = C2×Q8.C18 | central extension (φ=1) | 144 | | C12.17(C2xA4) | 288,347 |
| C12.18(C2×A4) = A4×C24 | central extension (φ=1) | 72 | 3 | C12.18(C2xA4) | 288,637 |
| C12.19(C2×A4) = C3×C8.A4 | central extension (φ=1) | 96 | 2 | C12.19(C2xA4) | 288,638 |
| C12.20(C2×A4) = C6×C4.A4 | central extension (φ=1) | 96 | | C12.20(C2xA4) | 288,983 |