Extensions 1→N→G→Q→1 with N=C10xQ16 and Q=C2

Direct product G=NxQ with N=C10xQ16 and Q=C2
dρLabelID
Q16xC2xC10320Q16xC2xC10320,1573

Semidirect products G=N:Q with N=C10xQ16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xQ16):1C2 = Q16.D10φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):1C2320,806
(C10xQ16):2C2 = C40.29D4φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):2C2320,819
(C10xQ16):3C2 = D20.30D4φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):3C2320,1438
(C10xQ16):4C2 = C2xC5:SD32φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):4C2320,805
(C10xQ16):5C2 = D10:3Q16φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):5C2320,815
(C10xQ16):6C2 = C40.28D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):6C2320,818
(C10xQ16):7C2 = C2xD5xQ16φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):7C2320,1435
(C10xQ16):8C2 = C2xQ8.D10φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):8C2320,1437
(C10xQ16):9C2 = C40.36D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):9C2320,816
(C10xQ16):10C2 = C40.37D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):10C2320,817
(C10xQ16):11C2 = C2xQ16:D5φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):11C2320,1436
(C10xQ16):12C2 = (C2xQ16):D5φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):12C2320,812
(C10xQ16):13C2 = D10:5Q16φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):13C2320,813
(C10xQ16):14C2 = D20.17D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):14C2320,814
(C10xQ16):15C2 = C5xC22:Q16φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):15C2320,952
(C10xQ16):16C2 = C5xD4.7D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):16C2320,953
(C10xQ16):17C2 = C5xQ8.D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):17C2320,965
(C10xQ16):18C2 = C5xC8.18D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):18C2320,968
(C10xQ16):19C2 = C5xC8.12D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):19C2320,996
(C10xQ16):20C2 = C10xSD32φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):20C2320,1007
(C10xQ16):21C2 = C5xC8.D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):21C2320,971
(C10xQ16):22C2 = C5xD4.5D4φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):22C2320,974
(C10xQ16):23C2 = C5xC8.2D4φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):23C2320,998
(C10xQ16):24C2 = C5xQ32:C2φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):24C2320,1011
(C10xQ16):25C2 = C10xC8.C22φ: C2/C1C2 ⊆ Out C10xQ16160(C10xQ16):25C2320,1576
(C10xQ16):26C2 = C5xQ8oD8φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16):26C2320,1580
(C10xQ16):27C2 = C10xC4oD8φ: trivial image160(C10xQ16):27C2320,1574

Non-split extensions G=N.Q with N=C10xQ16 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xQ16).1C2 = Q16.Dic5φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16).1C2320,123
(C10xQ16).2C2 = C40.15D4φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).2C2320,122
(C10xQ16).3C2 = C2xC5:Q32φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).3C2320,807
(C10xQ16).4C2 = C40.26D4φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).4C2320,808
(C10xQ16).5C2 = Q16xDic5φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).5C2320,810
(C10xQ16).6C2 = Q16:Dic5φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).6C2320,811
(C10xQ16).7C2 = C5xC2.Q32φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).7C2320,163
(C10xQ16).8C2 = Dic5:3Q16φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).8C2320,809
(C10xQ16).9C2 = C5xC4:2Q16φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).9C2320,963
(C10xQ16).10C2 = C5xC4:Q16φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).10C2320,995
(C10xQ16).11C2 = C10xQ32φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).11C2320,1008
(C10xQ16).12C2 = C5xC8.17D4φ: C2/C1C2 ⊆ Out C10xQ161604(C10xQ16).12C2320,167
(C10xQ16).13C2 = C5xQ16:C4φ: C2/C1C2 ⊆ Out C10xQ16320(C10xQ16).13C2320,942
(C10xQ16).14C2 = Q16xC20φ: trivial image320(C10xQ16).14C2320,940

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