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Extensions 1→N→G→Q→1 with N=C3×C4⋊C8 and Q=C2

Direct product G=N×Q with N=C3×C4⋊C8 and Q=C2
dρLabelID
C6×C4⋊C8192C6xC4:C8192,855

Semidirect products G=N:Q with N=C3×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C8)⋊1C2 = D12⋊2C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):1C2192,42
(C3×C4⋊C8)⋊2C2 = C4.D24φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):2C2192,44
(C3×C4⋊C8)⋊3C2 = C3×D4⋊C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):3C2192,131
(C3×C4⋊C8)⋊4C2 = C3×C4.D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):4C2192,137
(C3×C4⋊C8)⋊5C2 = C4⋊D24φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):5C2192,402
(C3×C4⋊C8)⋊6C2 = D12⋊4Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):6C2192,405
(C3×C4⋊C8)⋊7C2 = D12.19D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):7C2192,403
(C3×C4⋊C8)⋊8C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):8C2192,404
(C3×C4⋊C8)⋊9C2 = D12.3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):9C2192,406
(C3×C4⋊C8)⋊10C2 = C12⋊SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):10C2192,400
(C3×C4⋊C8)⋊11C2 = D12⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):11C2192,401
(C3×C4⋊C8)⋊12C2 = Dic6⋊8D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):12C2192,407
(C3×C4⋊C8)⋊13C2 = C3×C4⋊D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):13C2192,892
(C3×C4⋊C8)⋊14C2 = C3×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):14C2192,907
(C3×C4⋊C8)⋊15C2 = C3×D4.2D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):15C2192,896
(C3×C4⋊C8)⋊16C2 = C3×Q8.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):16C2192,897
(C3×C4⋊C8)⋊17C2 = C3×D4.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):17C2192,911
(C3×C4⋊C8)⋊18C2 = S3×C4⋊C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):18C2192,391
(C3×C4⋊C8)⋊19C2 = C42.200D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):19C2192,392
(C3×C4⋊C8)⋊20C2 = D12⋊C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):20C2192,393
(C3×C4⋊C8)⋊21C2 = C42.202D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):21C2192,394
(C3×C4⋊C8)⋊22C2 = D6⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):22C2192,395
(C3×C4⋊C8)⋊23C2 = C12⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):23C2192,396
(C3×C4⋊C8)⋊24C2 = C12⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):24C2192,397
(C3×C4⋊C8)⋊25C2 = C42.30D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):25C2192,398
(C3×C4⋊C8)⋊26C2 = C42.31D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):26C2192,399
(C3×C4⋊C8)⋊27C2 = C3×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):27C2192,893
(C3×C4⋊C8)⋊28C2 = C3×D4.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):28C2192,894
(C3×C4⋊C8)⋊29C2 = C3×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):29C2192,909
(C3×C4⋊C8)⋊30C2 = C3×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):30C2192,856
(C3×C4⋊C8)⋊31C2 = C3×C42.6C22φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):31C2192,857
(C3×C4⋊C8)⋊32C2 = C3×C42.6C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):32C2192,865
(C3×C4⋊C8)⋊33C2 = C3×C42.7C22φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):33C2192,866
(C3×C4⋊C8)⋊34C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):34C2192,868
(C3×C4⋊C8)⋊35C2 = C3×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊C896(C3xC4:C8):35C2192,869
(C3×C4⋊C8)⋊36C2 = C3×C42.12C4φ: trivial image96(C3xC4:C8):36C2192,864
(C3×C4⋊C8)⋊37C2 = D4×C24φ: trivial image96(C3xC4:C8):37C2192,867

Non-split extensions G=N.Q with N=C3×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊C8).1C2 = C12.53D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).1C2192,38
(C3×C4⋊C8).2C2 = C12.39SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).2C2192,39
(C3×C4⋊C8).3C2 = C4.Dic12φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).3C2192,40
(C3×C4⋊C8).4C2 = C12.47D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).4C2192,41
(C3×C4⋊C8).5C2 = Dic6⋊2C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).5C2192,43
(C3×C4⋊C8).6C2 = C12.2D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).6C2192,45
(C3×C4⋊C8).7C2 = C3×Q8⋊C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).7C2192,132
(C3×C4⋊C8).8C2 = C3×C4.10D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).8C2192,138
(C3×C4⋊C8).9C2 = C3×C4.6Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).9C2192,139
(C3×C4⋊C8).10C2 = C3×C8⋊2C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).10C2192,140
(C3×C4⋊C8).11C2 = C3×C8⋊1C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).11C2192,141
(C3×C4⋊C8).12C2 = C4⋊Dic12φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).12C2192,408
(C3×C4⋊C8).13C2 = Dic6⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).13C2192,409
(C3×C4⋊C8).14C2 = Dic6.3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).14C2192,388
(C3×C4⋊C8).15C2 = Dic6⋊4Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).15C2192,410
(C3×C4⋊C8).16C2 = C3×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).16C2192,895
(C3×C4⋊C8).17C2 = C3×C4.Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).17C2192,910
(C3×C4⋊C8).18C2 = C3×Q8.Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).18C2192,912
(C3×C4⋊C8).19C2 = C42.27D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).19C2192,387
(C3×C4⋊C8).20C2 = Dic6⋊C8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).20C2192,389
(C3×C4⋊C8).21C2 = C42.198D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).21C2192,390
(C3×C4⋊C8).22C2 = C3×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).22C2192,908
(C3×C4⋊C8).23C2 = C3×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊C8192(C3xC4:C8).23C2192,879
(C3×C4⋊C8).24C2 = Q8×C24φ: trivial image192(C3xC4:C8).24C2192,878

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