Extensions 1→N→G→Q→1 with N=C5xD4:C4 and Q=C2

Direct product G=NxQ with N=C5xD4:C4 and Q=C2
dρLabelID
C10xD4:C4160C10xD4:C4320,915

Semidirect products G=N:Q with N=C5xD4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xD4:C4):1C2 = C5xC8:8D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):1C2320,966
(C5xD4:C4):2C2 = C5xC8:7D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):2C2320,967
(C5xD4:C4):3C2 = C5xC4.4D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):3C2320,987
(C5xD4:C4):4C2 = D4:D20φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):4C2320,400
(C5xD4:C4):5C2 = D10.12D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):5C2320,401
(C5xD4:C4):6C2 = D4.D20φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):6C2320,410
(C5xD4:C4):7C2 = C40:5C4:C2φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):7C2320,411
(C5xD4:C4):8C2 = D20:3D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):8C2320,413
(C5xD4:C4):9C2 = Dic10:2D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):9C2320,389
(C5xD4:C4):10C2 = D20.8D4φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):10C2320,403
(C5xD4:C4):11C2 = D10.16SD16φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):11C2320,404
(C5xD4:C4):12C2 = C40:6C4:C2φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):12C2320,406
(C5xD4:C4):13C2 = D4:3D20φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):13C2320,408
(C5xD4:C4):14C2 = D20.D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):14C2320,414
(C5xD4:C4):15C2 = Dic5:4D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):15C2320,383
(C5xD4:C4):16C2 = Dic5.5D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):16C2320,387
(C5xD4:C4):17C2 = C4:C4.D10φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):17C2320,391
(C5xD4:C4):18C2 = D5xD4:C4φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):18C2320,396
(C5xD4:C4):19C2 = (D4xD5):C4φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):19C2320,397
(C5xD4:C4):20C2 = D4:(C4xD5)φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):20C2320,398
(C5xD4:C4):21C2 = D4:2D5:C4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):21C2320,399
(C5xD4:C4):22C2 = D10:D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):22C2320,402
(C5xD4:C4):23C2 = D10:SD16φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):23C2320,405
(C5xD4:C4):24C2 = C5:2C8:D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):24C2320,407
(C5xD4:C4):25C2 = C5:(C8:2D4)φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):25C2320,409
(C5xD4:C4):26C2 = D4:D5:6C4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):26C2320,412
(C5xD4:C4):27C2 = C5xC22:D8φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):27C2320,948
(C5xD4:C4):28C2 = C5xD4.7D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):28C2320,953
(C5xD4:C4):29C2 = C5xC4:D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):29C2320,960
(C5xD4:C4):30C2 = C5xC22.D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):30C2320,981
(C5xD4:C4):31C2 = C5xC23.19D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):31C2320,983
(C5xD4:C4):32C2 = C5xD4:D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):32C2320,950
(C5xD4:C4):33C2 = C5xC22:SD16φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):33C2320,951
(C5xD4:C4):34C2 = C5xC4:SD16φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):34C2320,961
(C5xD4:C4):35C2 = C5xD4.2D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):35C2320,964
(C5xD4:C4):36C2 = C5xC23.46D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):36C2320,982
(C5xD4:C4):37C2 = C5xC23.36D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):37C2320,918
(C5xD4:C4):38C2 = C5xC23.37D4φ: C2/C1C2 ⊆ Out C5xD4:C480(C5xD4:C4):38C2320,919
(C5xD4:C4):39C2 = C5xD8:C4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):39C2320,943
(C5xD4:C4):40C2 = C5xC8:D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):40C2320,969
(C5xD4:C4):41C2 = C5xC8:2D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):41C2320,970
(C5xD4:C4):42C2 = C5xC42.29C22φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4):42C2320,991
(C5xD4:C4):43C2 = C5xC23.24D4φ: trivial image160(C5xD4:C4):43C2320,917
(C5xD4:C4):44C2 = D8xC20φ: trivial image160(C5xD4:C4):44C2320,938

Non-split extensions G=N.Q with N=C5xD4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5xD4:C4).1C2 = C5xC42.78C22φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).1C2320,989
(C5xD4:C4).2C2 = Dic5.14D8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).2C2320,386
(C5xD4:C4).3C2 = D4.2Dic10φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).3C2320,393
(C5xD4:C4).4C2 = Dic10.D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).4C2320,394
(C5xD4:C4).5C2 = D4:Dic10φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).5C2320,388
(C5xD4:C4).6C2 = D4.Dic10φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).6C2320,390
(C5xD4:C4).7C2 = D4.D5:5C4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).7C2320,384
(C5xD4:C4).8C2 = Dic5:6SD16φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).8C2320,385
(C5xD4:C4).9C2 = C20:Q8:C2φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).9C2320,392
(C5xD4:C4).10C2 = (C8xDic5):C2φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).10C2320,395
(C5xD4:C4).11C2 = C5xQ8.D4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).11C2320,965
(C5xD4:C4).12C2 = C5xD4:Q8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).12C2320,975
(C5xD4:C4).13C2 = C5xD4.Q8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).13C2320,979
(C5xD4:C4).14C2 = C5xD4:2Q8φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).14C2320,977
(C5xD4:C4).15C2 = C5xSD16:C4φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).15C2320,941
(C5xD4:C4).16C2 = C5xC42.28C22φ: C2/C1C2 ⊆ Out C5xD4:C4160(C5xD4:C4).16C2320,990
(C5xD4:C4).17C2 = SD16xC20φ: trivial image160(C5xD4:C4).17C2320,939

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