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Extensions 1→N→G→Q→1 with N=C2×C32⋊4C8 and Q=C2

Direct product G=N×Q with N=C2×C32⋊4C8 and Q=C2
dρLabelID
C22×C32⋊4C8288C2^2xC3^2:4C8288,777

Semidirect products G=N:Q with N=C2×C32⋊4C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4C8)⋊1C2 = D12⋊3Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):1C2288,210
(C2×C32⋊4C8)⋊2C2 = C62.113D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):2C2288,284
(C2×C32⋊4C8)⋊3C2 = C62.116D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):3C2288,307
(C2×C32⋊4C8)⋊4C2 = D12.Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8484(C2xC3^2:4C8):4C2288,463
(C2×C32⋊4C8)⋊5C2 = C2×C32⋊2D8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):5C2288,469
(C2×C32⋊4C8)⋊6C2 = D12.30D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8484(C2xC3^2:4C8):6C2288,470
(C2×C32⋊4C8)⋊7C2 = C2×Dic6⋊S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):7C2288,474
(C2×C32⋊4C8)⋊8C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):8C2288,764
(C2×C32⋊4C8)⋊9C2 = C2×C32⋊7D8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):9C2288,788
(C2×C32⋊4C8)⋊10C2 = C2×C32⋊9SD16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):10C2288,790
(C2×C32⋊4C8)⋊11C2 = C2×C32⋊11SD16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):11C2288,798
(C2×C32⋊4C8)⋊12C2 = D4.(C3⋊Dic3)φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):12C2288,805
(C2×C32⋊4C8)⋊13C2 = C62.74D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):13C2288,807
(C2×C32⋊4C8)⋊14C2 = C12.77D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):14C2288,204
(C2×C32⋊4C8)⋊15C2 = C12.60D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):15C2288,295
(C2×C32⋊4C8)⋊16C2 = C62⋊7C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):16C2288,305
(C2×C32⋊4C8)⋊17C2 = C2×S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):17C2288,460
(C2×C32⋊4C8)⋊18C2 = C2×D6.Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8):18C2288,467
(C2×C32⋊4C8)⋊19C2 = C2×C24⋊S3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):19C2288,757
(C2×C32⋊4C8)⋊20C2 = C2×C12.58D6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8):20C2288,778
(C2×C32⋊4C8)⋊21C2 = C2×C8×C3⋊S3φ: trivial image144(C2xC3^2:4C8):21C2288,756

Non-split extensions G=N.Q with N=C2×C32⋊4C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊4C8).1C2 = Dic6⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).1C2288,213
(C2×C32⋊4C8).2C2 = C12.6Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).2C2288,222
(C2×C32⋊4C8).3C2 = C12.8Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).3C2288,224
(C2×C32⋊4C8).4C2 = C62.5Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8484(C2xC3^2:4C8).4C2288,226
(C2×C32⋊4C8).5C2 = C12.9Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).5C2288,282
(C2×C32⋊4C8).6C2 = C12.10Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).6C2288,283
(C2×C32⋊4C8).7C2 = C62.114D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).7C2288,285
(C2×C32⋊4C8).8C2 = C62.8Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8144(C2xC3^2:4C8).8C2288,297
(C2×C32⋊4C8).9C2 = C62.117D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).9C2288,310
(C2×C32⋊4C8).10C2 = C2×C32⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).10C2288,482
(C2×C32⋊4C8).11C2 = C2×C32⋊7Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).11C2288,800
(C2×C32⋊4C8).12C2 = Dic3×C3⋊C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).12C2288,200
(C2×C32⋊4C8).13C2 = C3⋊C8⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).13C2288,202
(C2×C32⋊4C8).14C2 = C12.81D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).14C2288,219
(C2×C32⋊4C8).15C2 = C122.C2φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).15C2288,278
(C2×C32⋊4C8).16C2 = C12.57D12φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).16C2288,279
(C2×C32⋊4C8).17C2 = C12.30Dic6φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).17C2288,289
(C2×C32⋊4C8).18C2 = C24⋊Dic3φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8288(C2xC3^2:4C8).18C2288,290
(C2×C32⋊4C8).19C2 = C2×C32⋊2C16φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C896(C2xC3^2:4C8).19C2288,420
(C2×C32⋊4C8).20C2 = C62.4C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊4C8484(C2xC3^2:4C8).20C2288,421
(C2×C32⋊4C8).21C2 = C4×C32⋊4C8φ: trivial image288(C2xC3^2:4C8).21C2288,277
(C2×C32⋊4C8).22C2 = C8×C3⋊Dic3φ: trivial image288(C2xC3^2:4C8).22C2288,288

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