# Extensions 1→N→G→Q→1 with N=C2×C32⋊C4 and Q=S3

Direct product G=N×Q with N=C2×C32⋊C4 and Q=S3
dρLabelID
C2×S3×C32⋊C4248+C2xS3xC3^2:C4432,753

Semidirect products G=N:Q with N=C2×C32⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4)⋊1S3 = D6⋊(C32⋊C4)φ: S3/C3C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4):1S3432,568
(C2×C32⋊C4)⋊2S3 = (C3×C6).8D12φ: S3/C3C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4):2S3432,586
(C2×C32⋊C4)⋊3S3 = C2×C322D12φ: S3/C3C2 ⊆ Out C2×C32⋊C4248+(C2xC3^2:C4):3S3432,756

Non-split extensions G=N.Q with N=C2×C32⋊C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C4).1S3 = C33⋊(C4⋊C4)φ: S3/C3C2 ⊆ Out C2×C32⋊C4488-(C2xC3^2:C4).1S3432,569
(C2×C32⋊C4).2S3 = (C3×C6).9D12φ: S3/C3C2 ⊆ Out C2×C32⋊C4488-(C2xC3^2:C4).2S3432,587
(C2×C32⋊C4).3S3 = C6.PSU3(𝔽2)φ: S3/C3C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).3S3432,592
(C2×C32⋊C4).4S3 = C6.2PSU3(𝔽2)φ: S3/C3C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).4S3432,593
(C2×C32⋊C4).5S3 = C2×C3⋊F9φ: S3/C3C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).5S3432,752
(C2×C32⋊C4).6S3 = C2×C33⋊Q8φ: S3/C3C2 ⊆ Out C2×C32⋊C4488(C2xC3^2:C4).6S3432,758
(C2×C32⋊C4).7S3 = Dic3×C32⋊C4φ: trivial image488-(C2xC3^2:C4).7S3432,567

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