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Extensions 1→N→G→Q→1 with N=C2×C32⋊4Q8 and Q=C2

Direct product G=N×Q with N=C2×C32⋊4Q8 and Q=C2
dρLabelID
C22×C32⋊4Q8288C2^2xC3^2:4Q8288,1003

Semidirect products G=N:Q with N=C2×C32⋊4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4Q8)⋊1C2 = D6⋊3Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):1C2288,544
(C2×C32⋊4Q8)⋊2C2 = C62.83C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):2C2288,561
(C2×C32⋊4Q8)⋊3C2 = C122⋊6C2φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):3C2288,732
(C2×C32⋊4Q8)⋊4C2 = C62⋊6Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):4C2288,735
(C2×C32⋊4Q8)⋊5C2 = C62.229C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):5C2288,742
(C2×C32⋊4Q8)⋊6C2 = C62.240C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):6C2288,753
(C2×C32⋊4Q8)⋊7C2 = C2×C24⋊2S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):7C2288,759
(C2×C32⋊4Q8)⋊8C2 = C62⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):8C2288,781
(C2×C32⋊4Q8)⋊9C2 = C2×D12.S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):9C2288,476
(C2×C32⋊4Q8)⋊10C2 = D12.29D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8484-(C2xC3^2:4Q8):10C2288,479
(C2×C32⋊4Q8)⋊11C2 = D6⋊7Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):11C2288,505
(C2×C32⋊4Q8)⋊12C2 = C12.27D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):12C2288,508
(C2×C32⋊4Q8)⋊13C2 = C12.31D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):13C2288,754
(C2×C32⋊4Q8)⋊14C2 = C24.5D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):14C2288,766
(C2×C32⋊4Q8)⋊15C2 = C2×C32⋊9SD16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):15C2288,790
(C2×C32⋊4Q8)⋊16C2 = C62.254C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):16C2288,793
(C2×C32⋊4Q8)⋊17C2 = C62.75D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):17C2288,808
(C2×C32⋊4Q8)⋊18C2 = C2×S3×Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):18C2288,942
(C2×C32⋊4Q8)⋊19C2 = C2×D12⋊5S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8):19C2288,943
(C2×C32⋊4Q8)⋊20C2 = D12.34D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8484-(C2xC3^2:4Q8):20C2288,946
(C2×C32⋊4Q8)⋊21C2 = C2×C12.D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):21C2288,1008
(C2×C32⋊4Q8)⋊22C2 = C2×Q8×C3⋊S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):22C2288,1010
(C2×C32⋊4Q8)⋊23C2 = C32⋊92- 1+4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8):23C2288,1015
(C2×C32⋊4Q8)⋊24C2 = C2×C12.59D6φ: trivial image144(C2xC3^2:4Q8):24C2288,1006

Non-split extensions G=N.Q with N=C2×C32⋊4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4Q8).1C2 = C6.4Dic12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).1C2288,291
(C2×C32⋊4Q8).2C2 = C3⋊Dic3.D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8484-(C2xC3^2:4Q8).2C2288,428
(C2×C32⋊4Q8).3C2 = C62.10C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8).3C2288,488
(C2×C32⋊4Q8).4C2 = C12⋊6Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).4C2288,726
(C2×C32⋊4Q8).5C2 = C12⋊2Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).5C2288,745
(C2×C32⋊4Q8).6C2 = C2×C32⋊5Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).6C2288,762
(C2×C32⋊4Q8).7C2 = C12.71D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8484-(C2xC3^2:4Q8).7C2288,209
(C2×C32⋊4Q8).8C2 = C12.73D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8).8C2288,215
(C2×C32⋊4Q8).9C2 = C62.114D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).9C2288,285
(C2×C32⋊4Q8).10C2 = C12.20D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8144(C2xC3^2:4Q8).10C2288,299
(C2×C32⋊4Q8).11C2 = C2×C32⋊3Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8).11C2288,483
(C2×C32⋊4Q8).12C2 = Dic3⋊6Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8).12C2288,492
(C2×C32⋊4Q8).13C2 = Dic3⋊Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q896(C2xC3^2:4Q8).13C2288,514
(C2×C32⋊4Q8).14C2 = C62.231C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).14C2288,744
(C2×C32⋊4Q8).15C2 = C2×C32⋊7Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).15C2288,800
(C2×C32⋊4Q8).16C2 = C62.259C23φ: C2/C1 → C2 ⊆ Out C2×C32⋊4Q8288(C2xC3^2:4Q8).16C2288,801
(C2×C32⋊4Q8).17C2 = C4×C32⋊4Q8φ: trivial image288(C2xC3^2:4Q8).17C2288,725

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