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Extensions 1→N→G→Q→1 with N=C22×Dic10 and Q=C2

Direct product G=N×Q with N=C22×Dic10 and Q=C2
dρLabelID
C23×Dic10320C2^3xDic10320,1608

Semidirect products G=N:Q with N=C22×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Dic10)⋊1C2 = (C2×C20).31D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):1C2320,300
(C22×Dic10)⋊2C2 = Dic10⋊14D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):2C2320,365
(C22×Dic10)⋊3C2 = C23⋊Dic10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):3C2320,574
(C22×Dic10)⋊4C2 = C2×C4.D20φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):4C2320,1148
(C22×Dic10)⋊5C2 = C2×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):5C2320,1153
(C22×Dic10)⋊6C2 = C2×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):6C2320,1163
(C22×Dic10)⋊7C2 = C2×D10⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):7C2320,1180
(C22×Dic10)⋊8C2 = D4×Dic10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):8C2320,1209
(C22×Dic10)⋊9C2 = Dic10⋊23D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):9C2320,1224
(C22×Dic10)⋊10C2 = C10.792- (1+4)φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):10C2320,1320
(C22×Dic10)⋊11C2 = C22×C40⋊C2φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):11C2320,1411
(C22×Dic10)⋊12C2 = C2×C20.48D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):12C2320,1456
(C22×Dic10)⋊13C2 = Dic10⋊17D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):13C2320,667
(C22×Dic10)⋊14C2 = C2×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):14C2320,1181
(C22×Dic10)⋊15C2 = C42.92D10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):15C2320,1198
(C22×Dic10)⋊16C2 = Dic10⋊19D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):16C2320,1270
(C22×Dic10)⋊17C2 = Dic10⋊21D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):17C2320,1304
(C22×Dic10)⋊18C2 = C2×C8.D10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):18C2320,1419
(C22×Dic10)⋊19C2 = C22×D4.D5φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):19C2320,1466
(C22×Dic10)⋊20C2 = C2×C20.17D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):20C2320,1469
(C22×Dic10)⋊21C2 = C2×D4.9D10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):21C2320,1495
(C22×Dic10)⋊22C2 = C10.1052- (1+4)φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):22C2320,1497
(C22×Dic10)⋊23C2 = C22×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):23C2320,1613
(C22×Dic10)⋊24C2 = C22×Q8×D5φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):24C2320,1615
(C22×Dic10)⋊25C2 = C2×D4.10D10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10):25C2320,1620
(C22×Dic10)⋊26C2 = C22×C4○D20φ: trivial image160(C2^2xDic10):26C2320,1611

Non-split extensions G=N.Q with N=C22×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Dic10).1C2 = (C2×C20)⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).1C2320,273
(C22×Dic10).2C2 = (C2×Dic5)⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).2C2320,283
(C22×Dic10).3C2 = C22⋊Dic20φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).3C2320,366
(C22×Dic10).4C2 = (C2×C20)⋊10Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).4C2320,556
(C22×Dic10).5C2 = (C2×C4)⋊Dic10φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).5C2320,606
(C22×Dic10).6C2 = C2×C20.44D4φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).6C2320,730
(C22×Dic10).7C2 = C2×Dic5.D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).7C2320,1098
(C22×Dic10).8C2 = C2×C20⋊2Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).8C2320,1140
(C22×Dic10).9C2 = C2×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).9C2320,1169
(C22×Dic10).10C2 = C22×Dic20φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).10C2320,1414
(C22×Dic10).11C2 = C2×C10.Q16φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).11C2320,596
(C22×Dic10).12C2 = (C2×Dic5)⋊6Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).12C2320,601
(C22×Dic10).13C2 = C4.(C2×D20)φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).13C2320,631
(C22×Dic10).14C2 = Dic10.37D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).14C2320,677
(C22×Dic10).15C2 = C23.46D20φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).15C2320,747
(C22×Dic10).16C2 = C2×C20.47D4φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).16C2320,763
(C22×Dic10).17C2 = C2×Dic5⋊3Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).17C2320,1168
(C22×Dic10).18C2 = C42.87D10φ: C2/C1 → C2 ⊆ Out C22×Dic10160(C2^2xDic10).18C2320,1188
(C22×Dic10).19C2 = C22×C5⋊Q16φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).19C2320,1481
(C22×Dic10).20C2 = C2×Dic5⋊Q8φ: C2/C1 → C2 ⊆ Out C22×Dic10320(C2^2xDic10).20C2320,1482
(C22×Dic10).21C2 = C2×C4×Dic10φ: trivial image320(C2^2xDic10).21C2320,1139

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