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Extensions 1→N→G→Q→1 with N=C5×Q8⋊C4 and Q=C2

Direct product G=N×Q with N=C5×Q8⋊C4 and Q=C2
dρLabelID
C10×Q8⋊C4320C10xQ8:C4320,916

Semidirect products G=N:Q with N=C5×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q8⋊C4)⋊1C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):1C2320,966
(C5×Q8⋊C4)⋊2C2 = C5×C8.18D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):2C2320,968
(C5×Q8⋊C4)⋊3C2 = C5×C42.78C22φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):3C2320,989
(C5×Q8⋊C4)⋊4C2 = D10⋊4Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):4C2320,435
(C5×Q8⋊C4)⋊5C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):5C2320,436
(C5×Q8⋊C4)⋊6C2 = D20⋊4D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):6C2320,438
(C5×Q8⋊C4)⋊7C2 = (C2×C8).D10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):7C2320,441
(C5×Q8⋊C4)⋊8C2 = D20.12D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):8C2320,446
(C5×Q8⋊C4)⋊9C2 = Dic10.11D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):9C2320,425
(C5×Q8⋊C4)⋊10C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):10C2320,432
(C5×Q8⋊C4)⋊11C2 = Q8⋊2D20φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):11C2320,433
(C5×Q8⋊C4)⋊12C2 = Q8.D20φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):12C2320,437
(C5×Q8⋊C4)⋊13C2 = D10⋊1C8.C2φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):13C2320,442
(C5×Q8⋊C4)⋊14C2 = Dic5⋊SD16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):14C2320,445
(C5×Q8⋊C4)⋊15C2 = Dic5⋊7SD16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):15C2320,415
(C5×Q8⋊C4)⋊16C2 = Q8⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):16C2320,422
(C5×Q8⋊C4)⋊17C2 = Q8⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):17C2320,427
(C5×Q8⋊C4)⋊18C2 = D5×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):18C2320,428
(C5×Q8⋊C4)⋊19C2 = (Q8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):19C2320,429
(C5×Q8⋊C4)⋊20C2 = Q8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):20C2320,430
(C5×Q8⋊C4)⋊21C2 = Q8⋊2D5⋊C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):21C2320,431
(C5×Q8⋊C4)⋊22C2 = D10⋊2SD16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):22C2320,434
(C5×Q8⋊C4)⋊23C2 = C5⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):23C2320,439
(C5×Q8⋊C4)⋊24C2 = D10⋊Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):24C2320,440
(C5×Q8⋊C4)⋊25C2 = C5⋊2C8.D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):25C2320,443
(C5×Q8⋊C4)⋊26C2 = Q8⋊D5⋊6C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):26C2320,444
(C5×Q8⋊C4)⋊27C2 = C5×D4⋊D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):27C2320,950
(C5×Q8⋊C4)⋊28C2 = C5×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):28C2320,952
(C5×Q8⋊C4)⋊29C2 = C5×D4.2D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):29C2320,964
(C5×Q8⋊C4)⋊30C2 = C5×C23.48D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):30C2320,985
(C5×Q8⋊C4)⋊31C2 = C5×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):31C2320,949
(C5×Q8⋊C4)⋊32C2 = C5×D4.7D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):32C2320,953
(C5×Q8⋊C4)⋊33C2 = C5×D4.D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):33C2320,962
(C5×Q8⋊C4)⋊34C2 = C5×Q8.D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):34C2320,965
(C5×Q8⋊C4)⋊35C2 = C5×C23.47D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):35C2320,984
(C5×Q8⋊C4)⋊36C2 = C5×C23.20D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):36C2320,986
(C5×Q8⋊C4)⋊37C2 = C5×C23.36D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):37C2320,918
(C5×Q8⋊C4)⋊38C2 = C5×C23.38D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):38C2320,920
(C5×Q8⋊C4)⋊39C2 = C5×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):39C2320,941
(C5×Q8⋊C4)⋊40C2 = C5×C8⋊D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):40C2320,969
(C5×Q8⋊C4)⋊41C2 = C5×C8.D4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):41C2320,971
(C5×Q8⋊C4)⋊42C2 = C5×C42.28C22φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4160(C5xQ8:C4):42C2320,990
(C5×Q8⋊C4)⋊43C2 = C5×C23.24D4φ: trivial image160(C5xQ8:C4):43C2320,917
(C5×Q8⋊C4)⋊44C2 = SD16×C20φ: trivial image160(C5xQ8:C4):44C2320,939

Non-split extensions G=N.Q with N=C5×Q8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×Q8⋊C4).1C2 = C5×C4.SD16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).1C2320,988
(C5×Q8⋊C4).2C2 = Dic5⋊Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).2C2320,420
(C5×Q8⋊C4).3C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).3C2320,421
(C5×Q8⋊C4).4C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).4C2320,423
(C5×Q8⋊C4).5C2 = Q8⋊Dic10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).5C2320,418
(C5×Q8⋊C4).6C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).6C2320,426
(C5×Q8⋊C4).7C2 = C5⋊Q16⋊5C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).7C2320,416
(C5×Q8⋊C4).8C2 = Dic5⋊4Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).8C2320,417
(C5×Q8⋊C4).9C2 = Dic5.3Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).9C2320,419
(C5×Q8⋊C4).10C2 = C40⋊8C4.C2φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).10C2320,424
(C5×Q8⋊C4).11C2 = C5×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).11C2320,963
(C5×Q8⋊C4).12C2 = C5×C4.Q16φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).12C2320,978
(C5×Q8⋊C4).13C2 = C5×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).13C2320,976
(C5×Q8⋊C4).14C2 = C5×Q8.Q8φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).14C2320,980
(C5×Q8⋊C4).15C2 = C5×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).15C2320,942
(C5×Q8⋊C4).16C2 = C5×C42.30C22φ: C2/C1 → C2 ⊆ Out C5×Q8⋊C4320(C5xQ8:C4).16C2320,992
(C5×Q8⋊C4).17C2 = Q16×C20φ: trivial image320(C5xQ8:C4).17C2320,940

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