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Extensions 1→N→G→Q→1 with N=C3×Q8⋊C4 and Q=C2

Direct product G=N×Q with N=C3×Q8⋊C4 and Q=C2
dρLabelID
C6×Q8⋊C4192C6xQ8:C4192,848

Semidirect products G=N:Q with N=C3×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊C4)⋊1C2 = C3×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):1C2192,898
(C3×Q8⋊C4)⋊2C2 = C3×C8.18D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):2C2192,900
(C3×Q8⋊C4)⋊3C2 = C3×C42.78C22φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):3C2192,921
(C3×Q8⋊C4)⋊4C2 = D6⋊Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):4C2192,368
(C3×Q8⋊C4)⋊5C2 = Q8⋊4D12φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):5C2192,369
(C3×Q8⋊C4)⋊6C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):6C2192,370
(C3×Q8⋊C4)⋊7C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):7C2192,373
(C3×Q8⋊C4)⋊8C2 = D12.12D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):8C2192,378
(C3×Q8⋊C4)⋊9C2 = Dic6.11D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):9C2192,357
(C3×Q8⋊C4)⋊10C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):10C2192,364
(C3×Q8⋊C4)⋊11C2 = Q8⋊3D12φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):11C2192,365
(C3×Q8⋊C4)⋊12C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):12C2192,367
(C3×Q8⋊C4)⋊13C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):13C2192,374
(C3×Q8⋊C4)⋊14C2 = Dic3⋊SD16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):14C2192,377
(C3×Q8⋊C4)⋊15C2 = C3×D4⋊D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):15C2192,882
(C3×Q8⋊C4)⋊16C2 = C3×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):16C2192,884
(C3×Q8⋊C4)⋊17C2 = C3×D4.2D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):17C2192,896
(C3×Q8⋊C4)⋊18C2 = C3×C23.48D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):18C2192,917
(C3×Q8⋊C4)⋊19C2 = Dic3⋊7SD16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):19C2192,347
(C3×Q8⋊C4)⋊20C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):20C2192,353
(C3×Q8⋊C4)⋊21C2 = Q8⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):21C2192,359
(C3×Q8⋊C4)⋊22C2 = S3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):22C2192,360
(C3×Q8⋊C4)⋊23C2 = (S3×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):23C2192,361
(C3×Q8⋊C4)⋊24C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):24C2192,362
(C3×Q8⋊C4)⋊25C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):25C2192,363
(C3×Q8⋊C4)⋊26C2 = D6⋊2SD16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):26C2192,366
(C3×Q8⋊C4)⋊27C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):27C2192,371
(C3×Q8⋊C4)⋊28C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):28C2192,372
(C3×Q8⋊C4)⋊29C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):29C2192,375
(C3×Q8⋊C4)⋊30C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):30C2192,376
(C3×Q8⋊C4)⋊31C2 = C3×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):31C2192,881
(C3×Q8⋊C4)⋊32C2 = C3×D4.7D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):32C2192,885
(C3×Q8⋊C4)⋊33C2 = C3×D4.D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):33C2192,894
(C3×Q8⋊C4)⋊34C2 = C3×Q8.D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):34C2192,897
(C3×Q8⋊C4)⋊35C2 = C3×C23.47D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):35C2192,916
(C3×Q8⋊C4)⋊36C2 = C3×C23.20D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):36C2192,918
(C3×Q8⋊C4)⋊37C2 = C3×C23.36D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):37C2192,850
(C3×Q8⋊C4)⋊38C2 = C3×C23.38D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):38C2192,852
(C3×Q8⋊C4)⋊39C2 = C3×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):39C2192,873
(C3×Q8⋊C4)⋊40C2 = C3×C8⋊D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):40C2192,901
(C3×Q8⋊C4)⋊41C2 = C3×C8.D4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):41C2192,903
(C3×Q8⋊C4)⋊42C2 = C3×C42.28C22φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C496(C3xQ8:C4):42C2192,922
(C3×Q8⋊C4)⋊43C2 = C3×C23.24D4φ: trivial image96(C3xQ8:C4):43C2192,849
(C3×Q8⋊C4)⋊44C2 = C12×SD16φ: trivial image96(C3xQ8:C4):44C2192,871

Non-split extensions G=N.Q with N=C3×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×Q8⋊C4).1C2 = C3×C4.SD16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).1C2192,920
(C3×Q8⋊C4).2C2 = Q8⋊3Dic6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).2C2192,352
(C3×Q8⋊C4).3C2 = Dic3⋊Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).3C2192,354
(C3×Q8⋊C4).4C2 = Q8.3Dic6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).4C2192,355
(C3×Q8⋊C4).5C2 = Q8⋊2Dic6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).5C2192,350
(C3×Q8⋊C4).6C2 = Q8.4Dic6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).6C2192,358
(C3×Q8⋊C4).7C2 = C3×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).7C2192,895
(C3×Q8⋊C4).8C2 = C3×C4.Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).8C2192,910
(C3×Q8⋊C4).9C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).9C2192,348
(C3×Q8⋊C4).10C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).10C2192,349
(C3×Q8⋊C4).11C2 = Dic3.1Q16φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).11C2192,351
(C3×Q8⋊C4).12C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).12C2192,356
(C3×Q8⋊C4).13C2 = C3×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).13C2192,908
(C3×Q8⋊C4).14C2 = C3×Q8.Q8φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).14C2192,912
(C3×Q8⋊C4).15C2 = C3×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).15C2192,874
(C3×Q8⋊C4).16C2 = C3×C42.30C22φ: C2/C1 → C2 ⊆ Out C3×Q8⋊C4192(C3xQ8:C4).16C2192,924
(C3×Q8⋊C4).17C2 = C12×Q16φ: trivial image192(C3xQ8:C4).17C2192,872

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