Extensions 1→N→G→Q→1 with N=C4×C3.A4 and Q=C2

Direct product G=N×Q with N=C4×C3.A4 and Q=C2
dρLabelID
C2×C4×C3.A472C2xC4xC3.A4288,343

Semidirect products G=N:Q with N=C4×C3.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3.A4)⋊1C2 = C22⋊D36φ: C2/C1C2 ⊆ Out C4×C3.A4366+(C4xC3.A4):1C2288,334
(C4×C3.A4)⋊2C2 = C4×C3.S4φ: C2/C1C2 ⊆ Out C4×C3.A4366(C4xC3.A4):2C2288,333
(C4×C3.A4)⋊3C2 = D4×C3.A4φ: C2/C1C2 ⊆ Out C4×C3.A4366(C4xC3.A4):3C2288,344

Non-split extensions G=N.Q with N=C4×C3.A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3.A4).1C2 = C12.1S4φ: C2/C1C2 ⊆ Out C4×C3.A4726-(C4xC3.A4).1C2288,332
(C4×C3.A4).2C2 = C12.S4φ: C2/C1C2 ⊆ Out C4×C3.A4726(C4xC3.A4).2C2288,68
(C4×C3.A4).3C2 = Q8×C3.A4φ: C2/C1C2 ⊆ Out C4×C3.A4726(C4xC3.A4).3C2288,346
(C4×C3.A4).4C2 = C8×C3.A4φ: trivial image723(C4xC3.A4).4C2288,76

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