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Extensions 1→N→G→Q→1 with N=C4×C32⋊C4 and Q=C2

Direct product G=N×Q with N=C4×C32⋊C4 and Q=C2
dρLabelID
C2×C4×C32⋊C448C2xC4xC3^2:C4288,932

Semidirect products G=N:Q with N=C4×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C32⋊C4)⋊1C2 = C32⋊6C4≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488-(C4xC3^2:C4):1C2288,431
(C4×C32⋊C4)⋊2C2 = C32⋊7C4≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488+(C4xC3^2:C4):2C2288,433
(C4×C32⋊C4)⋊3C2 = C4.4S3≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4248+(C4xC3^2:C4):3C2288,869
(C4×C32⋊C4)⋊4C2 = C4⋊S3≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4248+(C4xC3^2:C4):4C2288,879
(C4×C32⋊C4)⋊5C2 = D4×C32⋊C4φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4248+(C4xC3^2:C4):5C2288,936
(C4×C32⋊C4)⋊6C2 = C32⋊C4≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4484(C4xC3^2:C4):6C2288,379
(C4×C32⋊C4)⋊7C2 = C4×S3≀C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4244(C4xC3^2:C4):7C2288,877
(C4×C32⋊C4)⋊8C2 = (C6×C12)⋊5C4φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4244(C4xC3^2:C4):8C2288,934

Non-split extensions G=N.Q with N=C4×C32⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C32⋊C4).1C2 = C32⋊C4⋊Q8φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488-(C4xC3^2:C4).1C2288,870
(C4×C32⋊C4).2C2 = Q8×C32⋊C4φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488-(C4xC3^2:C4).2C2288,938
(C4×C32⋊C4).3C2 = C32⋊C4⋊C8φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4484(C4xC3^2:C4).3C2288,380
(C4×C32⋊C4).4C2 = C4.4PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488(C4xC3^2:C4).4C2288,392
(C4×C32⋊C4).5C2 = (C3×C24)⋊C4φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4484(C4xC3^2:C4).5C2288,415
(C4×C32⋊C4).6C2 = C4×F9φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4368(C4xC3^2:C4).6C2288,863
(C4×C32⋊C4).7C2 = C4⋊F9φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4368(C4xC3^2:C4).7C2288,864
(C4×C32⋊C4).8C2 = C4.3PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4488(C4xC3^2:C4).8C2288,891
(C4×C32⋊C4).9C2 = C4×PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4368(C4xC3^2:C4).9C2288,892
(C4×C32⋊C4).10C2 = C4⋊PSU3(𝔽2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C4368(C4xC3^2:C4).10C2288,893
(C4×C32⋊C4).11C2 = C8×C32⋊C4φ: trivial image484(C4xC3^2:C4).11C2288,414

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