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Extensions 1→N→G→Q→1 with N=C2×C32⋊C12 and Q=C2

Direct product G=N×Q with N=C2×C32⋊C12 and Q=C2
dρLabelID
C22×C32⋊C12144C2^2xC3^2:C12432,376

Semidirect products G=N:Q with N=C2×C32⋊C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C12)⋊1C2 = C62.4D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):1C2432,97
(C2×C32⋊C12)⋊2C2 = C62.5D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):2C2432,98
(C2×C32⋊C12)⋊3C2 = C62.21D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):3C2432,141
(C2×C32⋊C12)⋊4C2 = C62⋊3C12φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):4C2432,166
(C2×C32⋊C12)⋊5C2 = C2×He3⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):5C2432,322
(C2×C32⋊C12)⋊6C2 = C62.8D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C127212-(C2xC3^2:C12):6C2432,318
(C2×C32⋊C12)⋊7C2 = C2×C6.S32φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):7C2432,317
(C2×C32⋊C12)⋊8C2 = C2×He3⋊(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):8C2432,321
(C2×C32⋊C12)⋊9C2 = C62.13D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C127212-(C2xC3^2:C12):9C2432,361
(C2×C32⋊C12)⋊10C2 = C2×He3⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊C1272(C2xC3^2:C12):10C2432,377
(C2×C32⋊C12)⋊11C2 = C2×C4×C32⋊C6φ: trivial image72(C2xC3^2:C12):11C2432,349

Non-split extensions G=N.Q with N=C2×C32⋊C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊C12).1C2 = C62.3D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).1C2432,96
(C2×C32⋊C12).2C2 = C62.20D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).2C2432,140
(C2×C32⋊C12).3C2 = C62.D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).3C2432,95
(C2×C32⋊C12).4C2 = C2×He3⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).4C2432,316
(C2×C32⋊C12).5C2 = He3⋊C42φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).5C2432,94
(C2×C32⋊C12).6C2 = C62.19D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).6C2432,139
(C2×C32⋊C12).7C2 = C2×He3⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊C12144(C2xC3^2:C12).7C2432,348
(C2×C32⋊C12).8C2 = C4×C32⋊C12φ: trivial image144(C2xC3^2:C12).8C2432,138

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