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Extensions 1→N→G→Q→1 with N=C22×C5⋊2C8 and Q=C2

Direct product G=N×Q with N=C22×C5⋊2C8 and Q=C2
dρLabelID
C23×C5⋊2C8320C2^3xC5:2C8320,1452

Semidirect products G=N:Q with N=C22×C5⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C5⋊2C8)⋊1C2 = C2×D20⋊6C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):1C2320,592
(C22×C5⋊2C8)⋊2C2 = C4○D20⋊10C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):2C2320,629
(C22×C5⋊2C8)⋊3C2 = (C2×C10)⋊D8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):3C2320,665
(C22×C5⋊2C8)⋊4C2 = C5⋊2C8⋊23D4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):4C2320,668
(C22×C5⋊2C8)⋊5C2 = C5⋊2C8⋊24D4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):5C2320,675
(C22×C5⋊2C8)⋊6C2 = C4.89(C2×D20)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):6C2320,756
(C22×C5⋊2C8)⋊7C2 = C2×D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):7C2320,841
(C22×C5⋊2C8)⋊8C2 = C20.(C2×D4)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):8C2320,860
(C22×C5⋊2C8)⋊9C2 = (D4×C10).24C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):9C2320,861
(C22×C5⋊2C8)⋊10C2 = C2×D20.2C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):10C2320,1416
(C22×C5⋊2C8)⋊11C2 = C22×D4⋊D5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):11C2320,1464
(C22×C5⋊2C8)⋊12C2 = C22×D4.D5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):12C2320,1466
(C22×C5⋊2C8)⋊13C2 = C22×Q8⋊D5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):13C2320,1479
(C22×C5⋊2C8)⋊14C2 = C2×D4.Dic5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):14C2320,1490
(C22×C5⋊2C8)⋊15C2 = C2×D4.8D10φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):15C2320,1493
(C22×C5⋊2C8)⋊16C2 = C5⋊5(C8×D4)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):16C2320,352
(C22×C5⋊2C8)⋊17C2 = C5⋊2C8⋊26D4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):17C2320,357
(C22×C5⋊2C8)⋊18C2 = D4×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):18C2320,637
(C22×C5⋊2C8)⋊19C2 = C42.47D10φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):19C2320,638
(C22×C5⋊2C8)⋊20C2 = C2×D10⋊1C8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):20C2320,735
(C22×C5⋊2C8)⋊21C2 = C2×C20.55D4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):21C2320,833
(C22×C5⋊2C8)⋊22C2 = C22×C8⋊D5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):22C2320,1409
(C22×C5⋊2C8)⋊23C2 = C22×C4.Dic5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8):23C2320,1453
(C22×C5⋊2C8)⋊24C2 = D5×C22×C8φ: trivial image160(C2^2xC5:2C8):24C2320,1408

Non-split extensions G=N.Q with N=C22×C5⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C5⋊2C8).1C2 = C20.31C42φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).1C2320,87
(C22×C5⋊2C8).2C2 = C20.34C42φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).2C2320,116
(C22×C5⋊2C8).3C2 = C2×C10.D8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).3C2320,589
(C22×C5⋊2C8).4C2 = C2×C20.Q8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).4C2320,590
(C22×C5⋊2C8).5C2 = C2×C10.Q16φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).5C2320,596
(C22×C5⋊2C8).6C2 = C20.35C42φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).6C2320,624
(C22×C5⋊2C8).7C2 = C20.76(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).7C2320,625
(C22×C5⋊2C8).8C2 = C42.43D10φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).8C2320,626
(C22×C5⋊2C8).9C2 = (C2×C10)⋊Q16φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).9C2320,678
(C22×C5⋊2C8).10C2 = C20.51(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).10C2320,746
(C22×C5⋊2C8).11C2 = C20.37C42φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).11C2320,749
(C22×C5⋊2C8).12C2 = C2×C20.53D4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).12C2320,750
(C22×C5⋊2C8).13C2 = C2×Q8⋊Dic5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).13C2320,851
(C22×C5⋊2C8).14C2 = C22×C5⋊Q16φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).14C2320,1481
(C22×C5⋊2C8).15C2 = (C2×C20)⋊8C8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).15C2320,82
(C22×C5⋊2C8).16C2 = (C2×C40)⋊15C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).16C2320,108
(C22×C5⋊2C8).17C2 = C2×C42.D5φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).17C2320,548
(C22×C5⋊2C8).18C2 = C2×C20⋊3C8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).18C2320,550
(C22×C5⋊2C8).19C2 = C2×C20.8Q8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).19C2320,726
(C22×C5⋊2C8).20C2 = C2×C40⋊8C4φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).20C2320,727
(C22×C5⋊2C8).21C2 = C2×C20.C8φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).21C2320,1081
(C22×C5⋊2C8).22C2 = C10.6M5(2)φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8160(C2^2xC5:2C8).22C2320,249
(C22×C5⋊2C8).23C2 = C22×C5⋊C16φ: C2/C1 → C2 ⊆ Out C22×C5⋊2C8320(C2^2xC5:2C8).23C2320,1080
(C22×C5⋊2C8).24C2 = C2×C4×C5⋊2C8φ: trivial image320(C2^2xC5:2C8).24C2320,547
(C22×C5⋊2C8).25C2 = C2×C8×Dic5φ: trivial image320(C2^2xC5:2C8).25C2320,725

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