Extensions 1→N→G→Q→1 with N=C10×Q16 and Q=C2

Direct product G=N×Q with N=C10×Q16 and Q=C2
dρLabelID
Q16×C2×C10320Q16xC2xC10320,1573

Semidirect products G=N:Q with N=C10×Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×Q16)⋊1C2 = Q16.D10φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):1C2320,806
(C10×Q16)⋊2C2 = C40.29D4φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):2C2320,819
(C10×Q16)⋊3C2 = D20.30D4φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):3C2320,1438
(C10×Q16)⋊4C2 = C2×C5⋊SD32φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):4C2320,805
(C10×Q16)⋊5C2 = D103Q16φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):5C2320,815
(C10×Q16)⋊6C2 = C40.28D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):6C2320,818
(C10×Q16)⋊7C2 = C2×D5×Q16φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):7C2320,1435
(C10×Q16)⋊8C2 = C2×Q8.D10φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):8C2320,1437
(C10×Q16)⋊9C2 = C40.36D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):9C2320,816
(C10×Q16)⋊10C2 = C40.37D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):10C2320,817
(C10×Q16)⋊11C2 = C2×Q16⋊D5φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):11C2320,1436
(C10×Q16)⋊12C2 = (C2×Q16)⋊D5φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):12C2320,812
(C10×Q16)⋊13C2 = D105Q16φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):13C2320,813
(C10×Q16)⋊14C2 = D20.17D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):14C2320,814
(C10×Q16)⋊15C2 = C5×C22⋊Q16φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):15C2320,952
(C10×Q16)⋊16C2 = C5×D4.7D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):16C2320,953
(C10×Q16)⋊17C2 = C5×Q8.D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):17C2320,965
(C10×Q16)⋊18C2 = C5×C8.18D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):18C2320,968
(C10×Q16)⋊19C2 = C5×C8.12D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):19C2320,996
(C10×Q16)⋊20C2 = C10×SD32φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):20C2320,1007
(C10×Q16)⋊21C2 = C5×C8.D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):21C2320,971
(C10×Q16)⋊22C2 = C5×D4.5D4φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):22C2320,974
(C10×Q16)⋊23C2 = C5×C8.2D4φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):23C2320,998
(C10×Q16)⋊24C2 = C5×Q32⋊C2φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):24C2320,1011
(C10×Q16)⋊25C2 = C10×C8.C22φ: C2/C1C2 ⊆ Out C10×Q16160(C10xQ16):25C2320,1576
(C10×Q16)⋊26C2 = C5×Q8○D8φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16):26C2320,1580
(C10×Q16)⋊27C2 = C10×C4○D8φ: trivial image160(C10xQ16):27C2320,1574

Non-split extensions G=N.Q with N=C10×Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10×Q16).1C2 = Q16.Dic5φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16).1C2320,123
(C10×Q16).2C2 = C40.15D4φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).2C2320,122
(C10×Q16).3C2 = C2×C5⋊Q32φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).3C2320,807
(C10×Q16).4C2 = C40.26D4φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).4C2320,808
(C10×Q16).5C2 = Q16×Dic5φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).5C2320,810
(C10×Q16).6C2 = Q16⋊Dic5φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).6C2320,811
(C10×Q16).7C2 = C5×C2.Q32φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).7C2320,163
(C10×Q16).8C2 = Dic53Q16φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).8C2320,809
(C10×Q16).9C2 = C5×C42Q16φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).9C2320,963
(C10×Q16).10C2 = C5×C4⋊Q16φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).10C2320,995
(C10×Q16).11C2 = C10×Q32φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).11C2320,1008
(C10×Q16).12C2 = C5×C8.17D4φ: C2/C1C2 ⊆ Out C10×Q161604(C10xQ16).12C2320,167
(C10×Q16).13C2 = C5×Q16⋊C4φ: C2/C1C2 ⊆ Out C10×Q16320(C10xQ16).13C2320,942
(C10×Q16).14C2 = Q16×C20φ: trivial image320(C10xQ16).14C2320,940

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