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Extensions 1→N→G→Q→1 with N=C3×D4⋊C4 and Q=C2

Direct product G=N×Q with N=C3×D4⋊C4 and Q=C2
dρLabelID
C6×D4⋊C496C6xD4:C4192,847

Semidirect products G=N:Q with N=C3×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D4⋊C4)⋊1C2 = C3×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):1C2192,898
(C3×D4⋊C4)⋊2C2 = C3×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):2C2192,899
(C3×D4⋊C4)⋊3C2 = C3×C4.4D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):3C2192,919
(C3×D4⋊C4)⋊4C2 = D4⋊D12φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):4C2192,332
(C3×D4⋊C4)⋊5C2 = D6.D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):5C2192,333
(C3×D4⋊C4)⋊6C2 = D4.D12φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):6C2192,342
(C3×D4⋊C4)⋊7C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):7C2192,343
(C3×D4⋊C4)⋊8C2 = D12⋊3D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):8C2192,345
(C3×D4⋊C4)⋊9C2 = Dic6⋊2D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):9C2192,321
(C3×D4⋊C4)⋊10C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):10C2192,335
(C3×D4⋊C4)⋊11C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):11C2192,336
(C3×D4⋊C4)⋊12C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):12C2192,338
(C3×D4⋊C4)⋊13C2 = D4⋊3D12φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):13C2192,340
(C3×D4⋊C4)⋊14C2 = D12.D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):14C2192,346
(C3×D4⋊C4)⋊15C2 = C3×C22⋊D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):15C2192,880
(C3×D4⋊C4)⋊16C2 = C3×D4.7D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):16C2192,885
(C3×D4⋊C4)⋊17C2 = C3×C4⋊D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):17C2192,892
(C3×D4⋊C4)⋊18C2 = C3×C22.D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):18C2192,913
(C3×D4⋊C4)⋊19C2 = C3×C23.19D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):19C2192,915
(C3×D4⋊C4)⋊20C2 = Dic3⋊4D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):20C2192,315
(C3×D4⋊C4)⋊21C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):21C2192,319
(C3×D4⋊C4)⋊22C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):22C2192,323
(C3×D4⋊C4)⋊23C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):23C2192,328
(C3×D4⋊C4)⋊24C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):24C2192,329
(C3×D4⋊C4)⋊25C2 = D4⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):25C2192,330
(C3×D4⋊C4)⋊26C2 = D4⋊2S3⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):26C2192,331
(C3×D4⋊C4)⋊27C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):27C2192,334
(C3×D4⋊C4)⋊28C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):28C2192,337
(C3×D4⋊C4)⋊29C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):29C2192,339
(C3×D4⋊C4)⋊30C2 = C3⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):30C2192,341
(C3×D4⋊C4)⋊31C2 = D4⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):31C2192,344
(C3×D4⋊C4)⋊32C2 = C3×D4⋊D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):32C2192,882
(C3×D4⋊C4)⋊33C2 = C3×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):33C2192,883
(C3×D4⋊C4)⋊34C2 = C3×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):34C2192,893
(C3×D4⋊C4)⋊35C2 = C3×D4.2D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):35C2192,896
(C3×D4⋊C4)⋊36C2 = C3×C23.46D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):36C2192,914
(C3×D4⋊C4)⋊37C2 = C3×C23.36D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):37C2192,850
(C3×D4⋊C4)⋊38C2 = C3×C23.37D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C448(C3xD4:C4):38C2192,851
(C3×D4⋊C4)⋊39C2 = C3×D8⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):39C2192,875
(C3×D4⋊C4)⋊40C2 = C3×C8⋊D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):40C2192,901
(C3×D4⋊C4)⋊41C2 = C3×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):41C2192,902
(C3×D4⋊C4)⋊42C2 = C3×C42.29C22φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4):42C2192,923
(C3×D4⋊C4)⋊43C2 = C3×C23.24D4φ: trivial image96(C3xD4:C4):43C2192,849
(C3×D4⋊C4)⋊44C2 = C12×D8φ: trivial image96(C3xD4:C4):44C2192,870

Non-split extensions G=N.Q with N=C3×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×D4⋊C4).1C2 = C3×C42.78C22φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).1C2192,921
(C3×D4⋊C4).2C2 = Dic3.D8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).2C2192,318
(C3×D4⋊C4).3C2 = D4.2Dic6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).3C2192,325
(C3×D4⋊C4).4C2 = Dic6.D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).4C2192,326
(C3×D4⋊C4).5C2 = D4⋊Dic6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).5C2192,320
(C3×D4⋊C4).6C2 = D4.Dic6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).6C2192,322
(C3×D4⋊C4).7C2 = C3×Q8.D4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).7C2192,897
(C3×D4⋊C4).8C2 = C3×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).8C2192,907
(C3×D4⋊C4).9C2 = C3×D4.Q8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).9C2192,911
(C3×D4⋊C4).10C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).10C2192,316
(C3×D4⋊C4).11C2 = Dic3⋊6SD16φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).11C2192,317
(C3×D4⋊C4).12C2 = C12⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).12C2192,324
(C3×D4⋊C4).13C2 = (C2×C8).200D6φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).13C2192,327
(C3×D4⋊C4).14C2 = C3×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).14C2192,909
(C3×D4⋊C4).15C2 = C3×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).15C2192,873
(C3×D4⋊C4).16C2 = C3×C42.28C22φ: C2/C1 → C2 ⊆ Out C3×D4⋊C496(C3xD4:C4).16C2192,922
(C3×D4⋊C4).17C2 = C12×SD16φ: trivial image96(C3xD4:C4).17C2192,871

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