Direct product G=N×Q with N=C12 and Q=S4
Semidirect products G=N:Q with N=C12 and Q=S4
Non-split extensions G=N.Q with N=C12 and Q=S4
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C12.1S4 = C12.1S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 6- | C12.1S4 | 288,332 |
| C12.2S4 = C22⋊D36 | φ: S4/A4 → C2 ⊆ Aut C12 | 36 | 6+ | C12.2S4 | 288,334 |
| C12.3S4 = C12.3S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 144 | 4- | C12.3S4 | 288,338 |
| C12.4S4 = C12.4S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 4+ | C12.4S4 | 288,340 |
| C12.5S4 = A4⋊Dic6 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 6- | C12.5S4 | 288,907 |
| C12.6S4 = C12.6S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 96 | 4- | C12.6S4 | 288,913 |
| C12.7S4 = C12.7S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 48 | 4+ | C12.7S4 | 288,915 |
| C12.8S4 = C12.S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.8S4 | 288,68 |
| C12.9S4 = C12.9S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 4 | C12.9S4 | 288,70 |
| C12.10S4 = C4×C3.S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 36 | 6 | C12.10S4 | 288,333 |
| C12.11S4 = C12.11S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 144 | 4 | C12.11S4 | 288,339 |
| C12.12S4 = C12.12S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.12S4 | 288,402 |
| C12.13S4 = C3⋊U2(𝔽3) | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 4 | C12.13S4 | 288,404 |
| C12.14S4 = C12.14S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 48 | 4 | C12.14S4 | 288,914 |
| C12.15S4 = C3×A4⋊Q8 | φ: S4/A4 → C2 ⊆ Aut C12 | 72 | 6 | C12.15S4 | 288,896 |
| C12.16S4 = C3×C4.S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 96 | 4 | C12.16S4 | 288,902 |
| C12.17S4 = C3×C4.3S4 | φ: S4/A4 → C2 ⊆ Aut C12 | 48 | 4 | C12.17S4 | 288,904 |
| C12.18S4 = C3×A4⋊C8 | central extension (φ=1) | 72 | 3 | C12.18S4 | 288,398 |
| C12.19S4 = C3×U2(𝔽3) | central extension (φ=1) | 72 | 2 | C12.19S4 | 288,400 |
| C12.20S4 = C3×C4.6S4 | central extension (φ=1) | 48 | 2 | C12.20S4 | 288,903 |
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