# Extensions 1→N→G→Q→1 with N=A4×C3×C6 and Q=C2

Direct product G=N×Q with N=A4×C3×C6 and Q=C2
dρLabelID
A4×C62108A4xC6^2432,770

Semidirect products G=N:Q with N=A4×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C3×C6)⋊1C2 = C3×C6×S4φ: C2/C1C2 ⊆ Out A4×C3×C654(A4xC3xC6):1C2432,760
(A4×C3×C6)⋊2C2 = C6×C3⋊S4φ: C2/C1C2 ⊆ Out A4×C3×C6366(A4xC3xC6):2C2432,761
(A4×C3×C6)⋊3C2 = C2×C324S4φ: C2/C1C2 ⊆ Out A4×C3×C654(A4xC3xC6):3C2432,762
(A4×C3×C6)⋊4C2 = S3×C6×A4φ: C2/C1C2 ⊆ Out A4×C3×C6366(A4xC3xC6):4C2432,763
(A4×C3×C6)⋊5C2 = C2×A4×C3⋊S3φ: C2/C1C2 ⊆ Out A4×C3×C654(A4xC3xC6):5C2432,764

Non-split extensions G=N.Q with N=A4×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4×C3×C6).1C2 = C32×A4⋊C4φ: C2/C1C2 ⊆ Out A4×C3×C6108(A4xC3xC6).1C2432,615
(A4×C3×C6).2C2 = C3×C6.7S4φ: C2/C1C2 ⊆ Out A4×C3×C6366(A4xC3xC6).2C2432,618
(A4×C3×C6).3C2 = C6210Dic3φ: C2/C1C2 ⊆ Out A4×C3×C6108(A4xC3xC6).3C2432,621
(A4×C3×C6).4C2 = C3×Dic3×A4φ: C2/C1C2 ⊆ Out A4×C3×C6366(A4xC3xC6).4C2432,624
(A4×C3×C6).5C2 = A4×C3⋊Dic3φ: C2/C1C2 ⊆ Out A4×C3×C6108(A4xC3xC6).5C2432,627
(A4×C3×C6).6C2 = A4×C3×C12φ: trivial image108(A4xC3xC6).6C2432,697

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