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Extensions 1→N→G→Q→1 with N=C2×C40⋊C2 and Q=C2

Direct product G=N×Q with N=C2×C40⋊C2 and Q=C2
dρLabelID
C22×C40⋊C2160C2^2xC40:C2320,1411

Semidirect products G=N:Q with N=C2×C40⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C40⋊C2)⋊1C2 = C8⋊D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):1C2320,339
(C2×C40⋊C2)⋊2C2 = C40⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):2C2320,761
(C2×C40⋊C2)⋊3C2 = D4.3D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2804(C2xC40:C2):3C2320,768
(C2×C40⋊C2)⋊4C2 = C2×C8⋊D10φ: C2/C1 → C2 ⊆ Out C2×C40⋊C280(C2xC40:C2):4C2320,1418
(C2×C40⋊C2)⋊5C2 = C2×C8.D10φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):5C2320,1419
(C2×C40⋊C2)⋊6C2 = D4.11D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2804(C2xC40:C2):6C2320,1423
(C2×C40⋊C2)⋊7C2 = C8⋊5D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):7C2320,320
(C2×C40⋊C2)⋊8C2 = C8.8D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):8C2320,323
(C2×C40⋊C2)⋊9C2 = D20.31D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C280(C2xC40:C2):9C2320,358
(C2×C40⋊C2)⋊10C2 = D20.32D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):10C2320,360
(C2×C40⋊C2)⋊11C2 = D20⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):11C2320,361
(C2×C40⋊C2)⋊12C2 = Dic10⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):12C2320,365
(C2×C40⋊C2)⋊13C2 = Dic10⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):13C2320,389
(C2×C40⋊C2)⋊14C2 = D20.8D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C280(C2xC40:C2):14C2320,403
(C2×C40⋊C2)⋊15C2 = D4⋊3D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):15C2320,408
(C2×C40⋊C2)⋊16C2 = D20.D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):16C2320,414
(C2×C40⋊C2)⋊17C2 = Q8⋊2D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):17C2320,433
(C2×C40⋊C2)⋊18C2 = Q8.D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):18C2320,437
(C2×C40⋊C2)⋊19C2 = D20.19D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):19C2320,471
(C2×C40⋊C2)⋊20C2 = Dic10⋊8D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):20C2320,475
(C2×C40⋊C2)⋊21C2 = C40⋊30D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):21C2320,741
(C2×C40⋊C2)⋊22C2 = C8⋊3D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):22C2320,513
(C2×C40⋊C2)⋊23C2 = C40⋊11D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):23C2320,781
(C2×C40⋊C2)⋊24C2 = C2×D8⋊D5φ: C2/C1 → C2 ⊆ Out C2×C40⋊C280(C2xC40:C2):24C2320,1427
(C2×C40⋊C2)⋊25C2 = C2×Q16⋊D5φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):25C2320,1436
(C2×C40⋊C2)⋊26C2 = C8.24D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2804(C2xC40:C2):26C2320,525
(C2×C40⋊C2)⋊27C2 = D8⋊11D10φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2804(C2xC40:C2):27C2320,1442
(C2×C40⋊C2)⋊28C2 = C8⋊8D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):28C2320,491
(C2×C40⋊C2)⋊29C2 = C40.43D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):29C2320,795
(C2×C40⋊C2)⋊30C2 = C40⋊15D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):30C2320,802
(C2×C40⋊C2)⋊31C2 = C2×D5×SD16φ: C2/C1 → C2 ⊆ Out C2×C40⋊C280(C2xC40:C2):31C2320,1430
(C2×C40⋊C2)⋊32C2 = C2×SD16⋊3D5φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2):32C2320,1433
(C2×C40⋊C2)⋊33C2 = C2×D40⋊7C2φ: trivial image160(C2xC40:C2):33C2320,1413

Non-split extensions G=N.Q with N=C2×C40⋊C2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C40⋊C2).1C2 = C42.16D10φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).1C2320,337
(C2×C40⋊C2).2C2 = C8.D20φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).2C2320,342
(C2×C40⋊C2).3C2 = Dic10.11D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).3C2320,425
(C2×C40⋊C2).4C2 = Dic5⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).4C2320,445
(C2×C40⋊C2).5C2 = C20⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).5C2320,468
(C2×C40⋊C2).6C2 = C42.36D10φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).6C2320,472
(C2×C40⋊C2).7C2 = C40⋊21(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).7C2320,516
(C2×C40⋊C2).8C2 = C40.37D4φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).8C2320,817
(C2×C40⋊C2).9C2 = Dic5⋊8SD16φ: C2/C1 → C2 ⊆ Out C2×C40⋊C2160(C2xC40:C2).9C2320,479
(C2×C40⋊C2).10C2 = C4×C40⋊C2φ: trivial image160(C2xC40:C2).10C2320,318

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