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Extensions 1→N→G→Q→1 with N=C2×C32⋊4D6 and Q=C2

Direct product G=N×Q with N=C2×C32⋊4D6 and Q=C2
dρLabelID
C22×C32⋊4D648C2^2xC3^2:4D6432,769

Semidirect products G=N:Q with N=C2×C32⋊4D6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4D6)⋊1C2 = D6⋊S32φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6488-(C2xC3^2:4D6):1C2432,600
(C2×C32⋊4D6)⋊2C2 = C3⋊S3⋊4D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6248+(C2xC3^2:4D6):2C2432,602
(C2×C32⋊4D6)⋊3C2 = C12⋊3S32φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6484(C2xC3^2:4D6):3C2432,691
(C2×C32⋊4D6)⋊4C2 = C62⋊24D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6244(C2xC3^2:4D6):4C2432,696
(C2×C32⋊4D6)⋊5C2 = C2×C33⋊D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6244(C2xC3^2:4D6):5C2432,755
(C2×C32⋊4D6)⋊6C2 = C2×C32⋊2D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6248+(C2xC3^2:4D6):6C2432,756
(C2×C32⋊4D6)⋊7C2 = C2×S33φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6248+(C2xC3^2:4D6):7C2432,759

Non-split extensions G=N.Q with N=C2×C32⋊4D6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4D6).1C2 = C3⋊S3.2D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6244(C2xC3^2:4D6).1C2432,579
(C2×C32⋊4D6).2C2 = (C3×C6).8D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6248+(C2xC3^2:4D6).2C2432,586
(C2×C32⋊4D6).3C2 = Dic3⋊6S32φ: C2/C1 → C2 ⊆ Out C2×C32⋊4D6488-(C2xC3^2:4D6).3C2432,596
(C2×C32⋊4D6).4C2 = C4×C32⋊4D6φ: trivial image484(C2xC3^2:4D6).4C2432,690

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