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Extensions 1→N→G→Q→1 with N=C5×C4⋊C8 and Q=C2

Direct product G=N×Q with N=C5×C4⋊C8 and Q=C2
dρLabelID
C10×C4⋊C8320C10xC4:C8320,923

Semidirect products G=N:Q with N=C5×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊C8)⋊1C2 = D20⋊4C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):1C2320,41
(C5×C4⋊C8)⋊2C2 = C4.D40φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):2C2320,43
(C5×C4⋊C8)⋊3C2 = C5×D4⋊C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):3C2320,130
(C5×C4⋊C8)⋊4C2 = C5×C4.D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):4C2320,136
(C5×C4⋊C8)⋊5C2 = C4⋊D40φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):5C2320,470
(C5×C4⋊C8)⋊6C2 = D20⋊4Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):6C2320,473
(C5×C4⋊C8)⋊7C2 = D20.19D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):7C2320,471
(C5×C4⋊C8)⋊8C2 = C42.36D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):8C2320,472
(C5×C4⋊C8)⋊9C2 = D20.3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):9C2320,474
(C5×C4⋊C8)⋊10C2 = C20⋊SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):10C2320,468
(C5×C4⋊C8)⋊11C2 = D20⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):11C2320,469
(C5×C4⋊C8)⋊12C2 = Dic10⋊8D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):12C2320,475
(C5×C4⋊C8)⋊13C2 = D5×C4⋊C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):13C2320,459
(C5×C4⋊C8)⋊14C2 = C42.200D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):14C2320,460
(C5×C4⋊C8)⋊15C2 = D20⋊5C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):15C2320,461
(C5×C4⋊C8)⋊16C2 = C42.202D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):16C2320,462
(C5×C4⋊C8)⋊17C2 = D10⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):17C2320,463
(C5×C4⋊C8)⋊18C2 = C20⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):18C2320,464
(C5×C4⋊C8)⋊19C2 = C20⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):19C2320,465
(C5×C4⋊C8)⋊20C2 = C42.30D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):20C2320,466
(C5×C4⋊C8)⋊21C2 = C42.31D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):21C2320,467
(C5×C4⋊C8)⋊22C2 = C5×C4⋊D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):22C2320,960
(C5×C4⋊C8)⋊23C2 = C5×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):23C2320,975
(C5×C4⋊C8)⋊24C2 = C5×D4.2D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):24C2320,964
(C5×C4⋊C8)⋊25C2 = C5×Q8.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):25C2320,965
(C5×C4⋊C8)⋊26C2 = C5×D4.Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):26C2320,979
(C5×C4⋊C8)⋊27C2 = C5×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):27C2320,961
(C5×C4⋊C8)⋊28C2 = C5×D4.D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):28C2320,962
(C5×C4⋊C8)⋊29C2 = C5×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):29C2320,977
(C5×C4⋊C8)⋊30C2 = C5×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):30C2320,924
(C5×C4⋊C8)⋊31C2 = C5×C42.6C22φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):31C2320,925
(C5×C4⋊C8)⋊32C2 = C5×C42.6C4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):32C2320,933
(C5×C4⋊C8)⋊33C2 = C5×C42.7C22φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):33C2320,934
(C5×C4⋊C8)⋊34C2 = C5×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):34C2320,936
(C5×C4⋊C8)⋊35C2 = C5×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8160(C5xC4:C8):35C2320,937
(C5×C4⋊C8)⋊36C2 = C5×C42.12C4φ: trivial image160(C5xC4:C8):36C2320,932
(C5×C4⋊C8)⋊37C2 = D4×C40φ: trivial image160(C5xC4:C8):37C2320,935

Non-split extensions G=N.Q with N=C5×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4⋊C8).1C2 = C20.53D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).1C2320,37
(C5×C4⋊C8).2C2 = C20.39SD16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).2C2320,38
(C5×C4⋊C8).3C2 = C4.Dic20φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).3C2320,39
(C5×C4⋊C8).4C2 = C20.47D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).4C2320,40
(C5×C4⋊C8).5C2 = Dic10⋊4C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).5C2320,42
(C5×C4⋊C8).6C2 = C20.2D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).6C2320,44
(C5×C4⋊C8).7C2 = C5×Q8⋊C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).7C2320,131
(C5×C4⋊C8).8C2 = C5×C4.10D8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).8C2320,137
(C5×C4⋊C8).9C2 = C5×C4.6Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).9C2320,138
(C5×C4⋊C8).10C2 = C5×C8⋊2C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).10C2320,139
(C5×C4⋊C8).11C2 = C5×C8⋊1C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).11C2320,140
(C5×C4⋊C8).12C2 = C4⋊Dic20φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).12C2320,476
(C5×C4⋊C8).13C2 = C20.7Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).13C2320,477
(C5×C4⋊C8).14C2 = Dic10.3Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).14C2320,456
(C5×C4⋊C8).15C2 = Dic10⋊4Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).15C2320,478
(C5×C4⋊C8).16C2 = Dic5.5M4(2)φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).16C2320,455
(C5×C4⋊C8).17C2 = Dic10⋊5C8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).17C2320,457
(C5×C4⋊C8).18C2 = C42.198D10φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).18C2320,458
(C5×C4⋊C8).19C2 = C5×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).19C2320,963
(C5×C4⋊C8).20C2 = C5×C4.Q16φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).20C2320,978
(C5×C4⋊C8).21C2 = C5×Q8.Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).21C2320,980
(C5×C4⋊C8).22C2 = C5×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).22C2320,976
(C5×C4⋊C8).23C2 = C5×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C5×C4⋊C8320(C5xC4:C8).23C2320,947
(C5×C4⋊C8).24C2 = Q8×C40φ: trivial image320(C5xC4:C8).24C2320,946

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