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Extensions 1→N→G→Q→1 with N=C5×D4⋊C4 and Q=C2

Direct product G=N×Q with N=C5×D4⋊C4 and Q=C2
dρLabelID
C10×D4⋊C4160C10xD4:C4320,915

Semidirect products G=N:Q with N=C5×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D4⋊C4)⋊1C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):1C2320,966
(C5×D4⋊C4)⋊2C2 = C5×C8⋊7D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):2C2320,967
(C5×D4⋊C4)⋊3C2 = C5×C4.4D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):3C2320,987
(C5×D4⋊C4)⋊4C2 = D4⋊D20φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):4C2320,400
(C5×D4⋊C4)⋊5C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):5C2320,401
(C5×D4⋊C4)⋊6C2 = D4.D20φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):6C2320,410
(C5×D4⋊C4)⋊7C2 = C40⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):7C2320,411
(C5×D4⋊C4)⋊8C2 = D20⋊3D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):8C2320,413
(C5×D4⋊C4)⋊9C2 = Dic10⋊2D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):9C2320,389
(C5×D4⋊C4)⋊10C2 = D20.8D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):10C2320,403
(C5×D4⋊C4)⋊11C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):11C2320,404
(C5×D4⋊C4)⋊12C2 = C40⋊6C4⋊C2φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):12C2320,406
(C5×D4⋊C4)⋊13C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):13C2320,408
(C5×D4⋊C4)⋊14C2 = D20.D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):14C2320,414
(C5×D4⋊C4)⋊15C2 = Dic5⋊4D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):15C2320,383
(C5×D4⋊C4)⋊16C2 = Dic5.5D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):16C2320,387
(C5×D4⋊C4)⋊17C2 = C4⋊C4.D10φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):17C2320,391
(C5×D4⋊C4)⋊18C2 = D5×D4⋊C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):18C2320,396
(C5×D4⋊C4)⋊19C2 = (D4×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):19C2320,397
(C5×D4⋊C4)⋊20C2 = D4⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):20C2320,398
(C5×D4⋊C4)⋊21C2 = D4⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):21C2320,399
(C5×D4⋊C4)⋊22C2 = D10⋊D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):22C2320,402
(C5×D4⋊C4)⋊23C2 = D10⋊SD16φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):23C2320,405
(C5×D4⋊C4)⋊24C2 = C5⋊2C8⋊D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):24C2320,407
(C5×D4⋊C4)⋊25C2 = C5⋊(C8⋊2D4)φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):25C2320,409
(C5×D4⋊C4)⋊26C2 = D4⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):26C2320,412
(C5×D4⋊C4)⋊27C2 = C5×C22⋊D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):27C2320,948
(C5×D4⋊C4)⋊28C2 = C5×D4.7D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):28C2320,953
(C5×D4⋊C4)⋊29C2 = C5×C4⋊D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):29C2320,960
(C5×D4⋊C4)⋊30C2 = C5×C22.D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):30C2320,981
(C5×D4⋊C4)⋊31C2 = C5×C23.19D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):31C2320,983
(C5×D4⋊C4)⋊32C2 = C5×D4⋊D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):32C2320,950
(C5×D4⋊C4)⋊33C2 = C5×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):33C2320,951
(C5×D4⋊C4)⋊34C2 = C5×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):34C2320,961
(C5×D4⋊C4)⋊35C2 = C5×D4.2D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):35C2320,964
(C5×D4⋊C4)⋊36C2 = C5×C23.46D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):36C2320,982
(C5×D4⋊C4)⋊37C2 = C5×C23.36D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):37C2320,918
(C5×D4⋊C4)⋊38C2 = C5×C23.37D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C480(C5xD4:C4):38C2320,919
(C5×D4⋊C4)⋊39C2 = C5×D8⋊C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):39C2320,943
(C5×D4⋊C4)⋊40C2 = C5×C8⋊D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):40C2320,969
(C5×D4⋊C4)⋊41C2 = C5×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):41C2320,970
(C5×D4⋊C4)⋊42C2 = C5×C42.29C22φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4):42C2320,991
(C5×D4⋊C4)⋊43C2 = C5×C23.24D4φ: trivial image160(C5xD4:C4):43C2320,917
(C5×D4⋊C4)⋊44C2 = D8×C20φ: trivial image160(C5xD4:C4):44C2320,938

Non-split extensions G=N.Q with N=C5×D4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D4⋊C4).1C2 = C5×C42.78C22φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).1C2320,989
(C5×D4⋊C4).2C2 = Dic5.14D8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).2C2320,386
(C5×D4⋊C4).3C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).3C2320,393
(C5×D4⋊C4).4C2 = Dic10.D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).4C2320,394
(C5×D4⋊C4).5C2 = D4⋊Dic10φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).5C2320,388
(C5×D4⋊C4).6C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).6C2320,390
(C5×D4⋊C4).7C2 = D4.D5⋊5C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).7C2320,384
(C5×D4⋊C4).8C2 = Dic5⋊6SD16φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).8C2320,385
(C5×D4⋊C4).9C2 = C20⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).9C2320,392
(C5×D4⋊C4).10C2 = (C8×Dic5)⋊C2φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).10C2320,395
(C5×D4⋊C4).11C2 = C5×Q8.D4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).11C2320,965
(C5×D4⋊C4).12C2 = C5×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).12C2320,975
(C5×D4⋊C4).13C2 = C5×D4.Q8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).13C2320,979
(C5×D4⋊C4).14C2 = C5×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).14C2320,977
(C5×D4⋊C4).15C2 = C5×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).15C2320,941
(C5×D4⋊C4).16C2 = C5×C42.28C22φ: C2/C1 → C2 ⊆ Out C5×D4⋊C4160(C5xD4:C4).16C2320,990
(C5×D4⋊C4).17C2 = SD16×C20φ: trivial image160(C5xD4:C4).17C2320,939

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