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

Direct product G=N×Q with N=C5×C22⋊C8 and Q=C2
dρLabelID
C10×C22⋊C8160C10xC2^2:C8320,907

Semidirect products G=N:Q with N=C5×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C8)⋊1C2 = C5⋊3(C23⋊C8)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):1C2320,26
(C5×C22⋊C8)⋊2C2 = C22.2D40φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):2C2320,28
(C5×C22⋊C8)⋊3C2 = C5×C23⋊C8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):3C2320,128
(C5×C22⋊C8)⋊4C2 = C5×C22.SD16φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):4C2320,132
(C5×C22⋊C8)⋊5C2 = D20⋊13D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):5C2320,359
(C5×C22⋊C8)⋊6C2 = C22.D40φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):6C2320,363
(C5×C22⋊C8)⋊7C2 = D20.32D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):7C2320,360
(C5×C22⋊C8)⋊8C2 = D20⋊14D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):8C2320,361
(C5×C22⋊C8)⋊9C2 = C23.13D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):9C2320,364
(C5×C22⋊C8)⋊10C2 = D20.31D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):10C2320,358
(C5×C22⋊C8)⋊11C2 = C23.38D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):11C2320,362
(C5×C22⋊C8)⋊12C2 = Dic10⋊14D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):12C2320,365
(C5×C22⋊C8)⋊13C2 = D5×C22⋊C8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):13C2320,351
(C5×C22⋊C8)⋊14C2 = C5⋊5(C8×D4)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):14C2320,352
(C5×C22⋊C8)⋊15C2 = D10⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):15C2320,353
(C5×C22⋊C8)⋊16C2 = C22⋊C8⋊D5φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):16C2320,354
(C5×C22⋊C8)⋊17C2 = D10⋊4M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):17C2320,355
(C5×C22⋊C8)⋊18C2 = Dic5⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):18C2320,356
(C5×C22⋊C8)⋊19C2 = C5⋊2C8⋊26D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):19C2320,357
(C5×C22⋊C8)⋊20C2 = C5×C22⋊D8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):20C2320,948
(C5×C22⋊C8)⋊21C2 = C5×C22.D8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):21C2320,981
(C5×C22⋊C8)⋊22C2 = C5×D4⋊D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):22C2320,950
(C5×C22⋊C8)⋊23C2 = C5×D4.7D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):23C2320,953
(C5×C22⋊C8)⋊24C2 = C5×C23.19D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):24C2320,983
(C5×C22⋊C8)⋊25C2 = C5×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):25C2320,949
(C5×C22⋊C8)⋊26C2 = C5×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):26C2320,951
(C5×C22⋊C8)⋊27C2 = C5×C23.46D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):27C2320,982
(C5×C22⋊C8)⋊28C2 = C5×C24.4C4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8):28C2320,908
(C5×C22⋊C8)⋊29C2 = C5×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):29C2320,909
(C5×C22⋊C8)⋊30C2 = C5×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):30C2320,936
(C5×C22⋊C8)⋊31C2 = C5×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8):31C2320,937
(C5×C22⋊C8)⋊32C2 = D4×C40φ: trivial image160(C5xC2^2:C8):32C2320,935

Non-split extensions G=N.Q with N=C5×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C22⋊C8).1C2 = C23.30D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8).1C2320,25
(C5×C22⋊C8).2C2 = (C2×Dic5)⋊C8φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).2C2320,27
(C5×C22⋊C8).3C2 = C5×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).3C2320,129
(C5×C22⋊C8).4C2 = C5×C23.31D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C880(C5xC2^2:C8).4C2320,133
(C5×C22⋊C8).5C2 = C23.35D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).5C2320,349
(C5×C22⋊C8).6C2 = C22⋊Dic20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).6C2320,366
(C5×C22⋊C8).7C2 = C23.10D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).7C2320,350
(C5×C22⋊C8).8C2 = C23.34D20φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).8C2320,348
(C5×C22⋊C8).9C2 = Dic5.14M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).9C2320,345
(C5×C22⋊C8).10C2 = Dic5.9M4(2)φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).10C2320,346
(C5×C22⋊C8).11C2 = C40⋊8C4⋊C2φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).11C2320,347
(C5×C22⋊C8).12C2 = C5×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).12C2320,952
(C5×C22⋊C8).13C2 = C5×C23.48D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).13C2320,985
(C5×C22⋊C8).14C2 = C5×C23.20D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).14C2320,986
(C5×C22⋊C8).15C2 = C5×C23.47D4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).15C2320,984
(C5×C22⋊C8).16C2 = C5×C42.6C4φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).16C2320,933
(C5×C22⋊C8).17C2 = C5×C42.7C22φ: C2/C1 → C2 ⊆ Out C5×C22⋊C8160(C5xC2^2:C8).17C2320,934
(C5×C22⋊C8).18C2 = C5×C42.12C4φ: trivial image160(C5xC2^2:C8).18C2320,932

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