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Extensions 1→N→G→Q→1 with N=C22×C40 and Q=C2

Direct product G=N×Q with N=C22×C40 and Q=C2
dρLabelID
C23×C40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C22×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C40)⋊1C2 = C2×D10⋊1C8φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):1C2320,735
(C22×C40)⋊2C2 = (C22×C8)⋊D5φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):2C2320,737
(C22×C40)⋊3C2 = C2×D20⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):3C2320,739
(C22×C40)⋊4C2 = C23.23D20φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):4C2320,740
(C22×C40)⋊5C2 = C10×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):5C2320,907
(C22×C40)⋊6C2 = C5×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):6C2320,909
(C22×C40)⋊7C2 = C10×D4⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):7C2320,915
(C22×C40)⋊8C2 = C5×C23.24D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):8C2320,917
(C22×C40)⋊9C2 = D4×C40φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):9C2320,935
(C22×C40)⋊10C2 = C40⋊29D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):10C2320,742
(C22×C40)⋊11C2 = C22×D40φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):11C2320,1412
(C22×C40)⋊12C2 = C2×D40⋊7C2φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):12C2320,1413
(C22×C40)⋊13C2 = C40⋊30D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):13C2320,741
(C22×C40)⋊14C2 = C22×C40⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):14C2320,1411
(C22×C40)⋊15C2 = C8×C5⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):15C2320,736
(C22×C40)⋊16C2 = C40⋊32D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):16C2320,738
(C22×C40)⋊17C2 = D5×C22×C8φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):17C2320,1408
(C22×C40)⋊18C2 = C22×C8⋊D5φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):18C2320,1409
(C22×C40)⋊19C2 = C2×D20.3C4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):19C2320,1410
(C22×C40)⋊20C2 = C5×C8⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):20C2320,967
(C22×C40)⋊21C2 = D8×C2×C10φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):21C2320,1571
(C22×C40)⋊22C2 = C10×C4○D8φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):22C2320,1574
(C22×C40)⋊23C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):23C2320,966
(C22×C40)⋊24C2 = SD16×C2×C10φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):24C2320,1572
(C22×C40)⋊25C2 = C5×C8⋊9D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):25C2320,936
(C22×C40)⋊26C2 = M4(2)×C2×C10φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):26C2320,1568
(C22×C40)⋊27C2 = C10×C8○D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40):27C2320,1569

Non-split extensions G=N.Q with N=C22×C40 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C40).1C2 = (C2×C40)⋊15C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).1C2320,108
(C22×C40).2C2 = C20.39C42φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).2C2320,109
(C22×C40).3C2 = C20.40C42φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).3C2320,110
(C22×C40).4C2 = C5×C22.7C42φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).4C2320,141
(C22×C40).5C2 = C5×C22.4Q16φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).5C2320,145
(C22×C40).6C2 = C5×C4.C42φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).6C2320,146
(C22×C40).7C2 = C5×C22⋊C16φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).7C2320,153
(C22×C40).8C2 = C2×C20.8Q8φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).8C2320,726
(C22×C40).9C2 = C20.65(C4⋊C4)φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).9C2320,729
(C22×C40).10C2 = C2×C20.44D4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).10C2320,730
(C22×C40).11C2 = C10×Q8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).11C2320,916
(C22×C40).12C2 = C10×C4⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).12C2320,923
(C22×C40).13C2 = C5×C42.6C22φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).13C2320,925
(C22×C40).14C2 = C2×C40⋊5C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).14C2320,732
(C22×C40).15C2 = C40.82D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).15C2320,743
(C22×C40).16C2 = C22×Dic20φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).16C2320,1414
(C22×C40).17C2 = C23.22D20φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).17C2320,733
(C22×C40).18C2 = C2×C40.6C4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).18C2320,734
(C22×C40).19C2 = C2×C40⋊6C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).19C2320,731
(C22×C40).20C2 = C40.91D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).20C2320,107
(C22×C40).21C2 = C22×C5⋊2C16φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).21C2320,723
(C22×C40).22C2 = C2×C20.4C8φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).22C2320,724
(C22×C40).23C2 = C2×C8×Dic5φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).23C2320,725
(C22×C40).24C2 = C2×C40⋊8C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).24C2320,727
(C22×C40).25C2 = C20.42C42φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).25C2320,728
(C22×C40).26C2 = C10×C2.D8φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).26C2320,927
(C22×C40).27C2 = C5×C8.18D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).27C2320,968
(C22×C40).28C2 = Q16×C2×C10φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).28C2320,1573
(C22×C40).29C2 = C5×C23.25D4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).29C2320,928
(C22×C40).30C2 = C10×C8.C4φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).30C2320,930
(C22×C40).31C2 = C10×C4.Q8φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).31C2320,926
(C22×C40).32C2 = C10×C8⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C40320(C2^2xC40).32C2320,904
(C22×C40).33C2 = C5×C8○2M4(2)φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).33C2320,906
(C22×C40).34C2 = C10×M5(2)φ: C2/C1 → C2 ⊆ Aut C22×C40160(C2^2xC40).34C2320,1004

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