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

Direct product G=N×Q with N=C32×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C3×C6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C32×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C4⋊C4)⋊1C2 = C3×C6.D8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):1C2288,243
(C32×C4⋊C4)⋊2C2 = C62.113D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):2C2288,284
(C32×C4⋊C4)⋊3C2 = C3×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):3C2288,662
(C32×C4⋊C4)⋊4C2 = C3×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):4C2288,663
(C32×C4⋊C4)⋊5C2 = C3×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):5C2288,664
(C32×C4⋊C4)⋊6C2 = C3×D6.D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):6C2288,665
(C32×C4⋊C4)⋊7C2 = C3×C12⋊D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):7C2288,666
(C32×C4⋊C4)⋊8C2 = C3×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):8C2288,667
(C32×C4⋊C4)⋊9C2 = C3×C4.D12φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):9C2288,668
(C32×C4⋊C4)⋊10C2 = C3×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4):10C2288,669
(C32×C4⋊C4)⋊11C2 = C4⋊C4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):11C2288,748
(C32×C4⋊C4)⋊12C2 = C62.236C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):12C2288,749
(C32×C4⋊C4)⋊13C2 = C62.237C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):13C2288,750
(C32×C4⋊C4)⋊14C2 = C62.238C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):14C2288,751
(C32×C4⋊C4)⋊15C2 = C12⋊3D12φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):15C2288,752
(C32×C4⋊C4)⋊16C2 = C62.240C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):16C2288,753
(C32×C4⋊C4)⋊17C2 = C12.31D12φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):17C2288,754
(C32×C4⋊C4)⋊18C2 = C62.242C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):18C2288,755
(C32×C4⋊C4)⋊19C2 = C32×D4⋊C4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):19C2288,320
(C32×C4⋊C4)⋊20C2 = C32×C4⋊D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):20C2288,818
(C32×C4⋊C4)⋊21C2 = C32×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):21C2288,819
(C32×C4⋊C4)⋊22C2 = C32×C22.D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):22C2288,820
(C32×C4⋊C4)⋊23C2 = C32×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4144(C3^2xC4:C4):23C2288,823
(C32×C4⋊C4)⋊24C2 = C32×C42⋊C2φ: trivial image144(C3^2xC4:C4):24C2288,814
(C32×C4⋊C4)⋊25C2 = D4×C3×C12φ: trivial image144(C3^2xC4:C4):25C2288,815

Non-split extensions G=N.Q with N=C32×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×C4⋊C4).1C2 = C3×C6.Q16φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).1C2288,241
(C32×C4⋊C4).2C2 = C3×C12.Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).2C2288,242
(C32×C4⋊C4).3C2 = C3×C6.SD16φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).3C2288,244
(C32×C4⋊C4).4C2 = C12.9Dic6φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).4C2288,282
(C32×C4⋊C4).5C2 = C12.10Dic6φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).5C2288,283
(C32×C4⋊C4).6C2 = C62.114D4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).6C2288,285
(C32×C4⋊C4).7C2 = C3×Dic6⋊C4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).7C2288,658
(C32×C4⋊C4).8C2 = C3×C12⋊Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).8C2288,659
(C32×C4⋊C4).9C2 = C3×Dic3.Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).9C2288,660
(C32×C4⋊C4).10C2 = C3×C4.Dic6φ: C2/C1 → C2 ⊆ Out C32×C4⋊C496(C3^2xC4:C4).10C2288,661
(C32×C4⋊C4).11C2 = C62.231C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).11C2288,744
(C32×C4⋊C4).12C2 = C12⋊2Dic6φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).12C2288,745
(C32×C4⋊C4).13C2 = C62.233C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).13C2288,746
(C32×C4⋊C4).14C2 = C62.234C23φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).14C2288,747
(C32×C4⋊C4).15C2 = C32×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).15C2288,321
(C32×C4⋊C4).16C2 = C32×C4.Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).16C2288,324
(C32×C4⋊C4).17C2 = C32×C2.D8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).17C2288,325
(C32×C4⋊C4).18C2 = C32×C42.C2φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).18C2288,822
(C32×C4⋊C4).19C2 = C32×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C32×C4⋊C4288(C3^2xC4:C4).19C2288,825
(C32×C4⋊C4).20C2 = Q8×C3×C12φ: trivial image288(C3^2xC4:C4).20C2288,816

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