# Extensions 1→N→G→Q→1 with N=A4×C2×C6 and Q=C2

Direct product G=N×Q with N=A4×C2×C6 and Q=C2
dρLabelID
A4×C22×C672A4xC2^2xC6288,1041

Semidirect products G=N:Q with N=A4×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C2×C6)⋊1C2 = C3×D4×A4φ: C2/C1C2 ⊆ Out A4×C2×C6366(A4xC2xC6):1C2288,980
(A4×C2×C6)⋊2C2 = C3×A4⋊D4φ: C2/C1C2 ⊆ Out A4×C2×C6366(A4xC2xC6):2C2288,906
(A4×C2×C6)⋊3C2 = (C2×C6)⋊4S4φ: C2/C1C2 ⊆ Out A4×C2×C6366(A4xC2xC6):3C2288,917
(A4×C2×C6)⋊4C2 = A4×C3⋊D4φ: C2/C1C2 ⊆ Out A4×C2×C6366(A4xC2xC6):4C2288,928
(A4×C2×C6)⋊5C2 = C2×C6×S4φ: C2/C1C2 ⊆ Out A4×C2×C636(A4xC2xC6):5C2288,1033
(A4×C2×C6)⋊6C2 = C22×C3⋊S4φ: C2/C1C2 ⊆ Out A4×C2×C636(A4xC2xC6):6C2288,1034
(A4×C2×C6)⋊7C2 = C22×S3×A4φ: C2/C1C2 ⊆ Out A4×C2×C636(A4xC2xC6):7C2288,1037

Non-split extensions G=N.Q with N=A4×C2×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C2×C6).1C2 = C6×A4⋊C4φ: C2/C1C2 ⊆ Out A4×C2×C672(A4xC2xC6).1C2288,905
(A4×C2×C6).2C2 = C2×C6.7S4φ: C2/C1C2 ⊆ Out A4×C2×C672(A4xC2xC6).2C2288,916
(A4×C2×C6).3C2 = C2×Dic3×A4φ: C2/C1C2 ⊆ Out A4×C2×C672(A4xC2xC6).3C2288,927
(A4×C2×C6).4C2 = A4×C2×C12φ: trivial image72(A4xC2xC6).4C2288,979

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