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Extensions 1→N→G→Q→1 with N=C2×C23⋊C4 and Q=C2

Direct product G=N×Q with N=C2×C23⋊C4 and Q=C2
dρLabelID
C22×C23⋊C432C2^2xC2^3:C4128,1613

Semidirect products G=N:Q with N=C2×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C23⋊C4)⋊1C2 = C25⋊C4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):1C2128,513
(C2×C23⋊C4)⋊2C2 = C24.165C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):2C2128,514
(C2×C23⋊C4)⋊3C2 = 2+ 1+4⋊2C4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):3C2128,522
(C2×C23⋊C4)⋊4C2 = C25.C22φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):4C2128,621
(C2×C23⋊C4)⋊5C2 = C24.78D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):5C2128,630
(C2×C23⋊C4)⋊6C2 = C24.28D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4):6C2128,645
(C2×C23⋊C4)⋊7C2 = C24.175C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):7C2128,696
(C2×C23⋊C4)⋊8C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):8C2128,753
(C2×C23⋊C4)⋊9C2 = C24.31D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):9C2128,754
(C2×C23⋊C4)⋊10C2 = C24.33D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):10C2128,776
(C2×C23⋊C4)⋊11C2 = C2×C2≀C4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):11C2128,850
(C2×C23⋊C4)⋊12C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4):12C2128,853
(C2×C23⋊C4)⋊13C2 = C2×C42⋊C4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):13C2128,856
(C2×C23⋊C4)⋊14C2 = C24.39D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4):14C2128,859
(C2×C23⋊C4)⋊15C2 = C23.C24φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4):15C2128,1615
(C2×C23⋊C4)⋊16C2 = C2×C2≀C22φ: C2/C1 → C2 ⊆ Out C2×C23⋊C416(C2xC2^3:C4):16C2128,1755
(C2×C23⋊C4)⋊17C2 = C2×C23.7D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4):17C2128,1756
(C2×C23⋊C4)⋊18C2 = C24⋊C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4):18C2128,1758
(C2×C23⋊C4)⋊19C2 = C2×C23.C23φ: trivial image32(C2xC2^3:C4):19C2128,1614

Non-split extensions G=N.Q with N=C2×C23⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C23⋊C4).1C2 = C24.5D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).1C2128,122
(C2×C23⋊C4).2C2 = C24.6D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).2C2128,125
(C2×C23⋊C4).3C2 = C24.167C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).3C2128,531
(C2×C23⋊C4).4C2 = C24.C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4).4C2128,560
(C2×C23⋊C4).5C2 = C24.22D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).5C2128,599
(C2×C23⋊C4).6C2 = C24.26D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).6C2128,622
(C2×C23⋊C4).7C2 = C24.174C23φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).7C2128,631
(C2×C23⋊C4).8C2 = C24⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C23⋊C4168+(C2xC2^3:C4).8C2128,764
(C2×C23⋊C4).9C2 = C2×C23.D4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).9C2128,851
(C2×C23⋊C4).10C2 = C2×C42⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C23⋊C432(C2xC2^3:C4).10C2128,857
(C2×C23⋊C4).11C2 = C4×C23⋊C4φ: trivial image32(C2xC2^3:C4).11C2128,486

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