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

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

Semidirect products G=N:Q with N=C6×A4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×A4)⋊C6 = C2×C62⋊S3φ: C6/C1C6 ⊆ Out C6×A4186+(C6xA4):C6432,535
(C6×A4)⋊2C6 = C22×C32⋊A4φ: C6/C2C3 ⊆ Out C6×A436(C6xA4):2C6432,550
(C6×A4)⋊3C6 = C3×C6×S4φ: C6/C3C2 ⊆ Out C6×A454(C6xA4):3C6432,760
(C6×A4)⋊4C6 = C6×C3⋊S4φ: C6/C3C2 ⊆ Out C6×A4366(C6xA4):4C6432,761
(C6×A4)⋊5C6 = S3×C6×A4φ: C6/C3C2 ⊆ Out C6×A4366(C6xA4):5C6432,763

Non-split extensions G=N.Q with N=C6×A4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×A4).C6 = C625Dic3φ: C6/C1C6 ⊆ Out C6×A4366-(C6xA4).C6432,251
(C6×A4).2C6 = C4×C9⋊A4φ: C6/C2C3 ⊆ Out C6×A41083(C6xA4).2C6432,326
(C6×A4).3C6 = C4×C32⋊A4φ: C6/C2C3 ⊆ Out C6×A4363(C6xA4).3C6432,333
(C6×A4).4C6 = C22×C9⋊A4φ: C6/C2C3 ⊆ Out C6×A4108(C6xA4).4C6432,547
(C6×A4).5C6 = C9×A4⋊C4φ: C6/C3C2 ⊆ Out C6×A41083(C6xA4).5C6432,242
(C6×A4).6C6 = C18×S4φ: C6/C3C2 ⊆ Out C6×A4543(C6xA4).6C6432,532
(C6×A4).7C6 = C32×A4⋊C4φ: C6/C3C2 ⊆ Out C6×A4108(C6xA4).7C6432,615
(C6×A4).8C6 = C3×C6.7S4φ: C6/C3C2 ⊆ Out C6×A4366(C6xA4).8C6432,618
(C6×A4).9C6 = C3×Dic3×A4φ: C6/C3C2 ⊆ Out C6×A4366(C6xA4).9C6432,624
(C6×A4).10C6 = A4×C36φ: trivial image1083(C6xA4).10C6432,325
(C6×A4).11C6 = A4×C2×C18φ: trivial image108(C6xA4).11C6432,546
(C6×A4).12C6 = A4×C3×C12φ: trivial image108(C6xA4).12C6432,697

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