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Extensions 1→N→G→Q→1 with N=C2xC4xDic5 and Q=C2

Direct product G=NxQ with N=C2xC4xDic5 and Q=C2
dρLabelID
C22xC4xDic5320C2^2xC4xDic5320,1454

Semidirect products G=N:Q with N=C2xC4xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xDic5):1C2 = (C2xD20):22C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):1C2320,615
(C2xC4xDic5):2C2 = C2xD20:7C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic580(C2xC4xDic5):2C2320,765
(C2xC4xDic5):3C2 = C24.19D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):3C2320,848
(C2xC4xDic5):4C2 = C2xD4:2Dic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic580(C2xC4xDic5):4C2320,862
(C2xC4xDic5):5C2 = C2xD20:8C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):5C2320,1175
(C2xC4xDic5):6C2 = C42.188D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):6C2320,1194
(C2xC4xDic5):7C2 = C20:(C4oD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):7C2320,1268
(C2xC4xDic5):8C2 = C4:C4.178D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):8C2320,1272
(C2xC4xDic5):9C2 = C22:Q8:25D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):9C2320,1296
(C2xC4xDic5):10C2 = C2xD4xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):10C2320,1467
(C2xC4xDic5):11C2 = C2xC20.17D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):11C2320,1469
(C2xC4xDic5):12C2 = C2xC20:D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):12C2320,1475
(C2xC4xDic5):13C2 = C2xC20.23D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):13C2320,1486
(C2xC4xDic5):14C2 = C4oD4xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):14C2320,1498
(C2xC4xDic5):15C2 = (C2xC20):17D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):15C2320,1504
(C2xC4xDic5):16C2 = D10:2C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):16C2320,293
(C2xC4xDic5):17C2 = C10.54(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):17C2320,296
(C2xC4xDic5):18C2 = C10.55(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):18C2320,297
(C2xC4xDic5):19C2 = C4xD10:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):19C2320,565
(C2xC4xDic5):20C2 = C22:C4xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):20C2320,568
(C2xC4xDic5):21C2 = C24.3D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):21C2320,571
(C2xC4xDic5):22C2 = C24.4D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):22C2320,572
(C2xC4xDic5):23C2 = C24.8D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):23C2320,578
(C2xC4xDic5):24C2 = C24.13D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):24C2320,584
(C2xC4xDic5):25C2 = C10.90(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):25C2320,617
(C2xC4xDic5):26C2 = C4xC23.D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):26C2320,836
(C2xC4xDic5):27C2 = C2xC42:D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):27C2320,1144
(C2xC4xDic5):28C2 = C2xC23.11D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):28C2320,1152
(C2xC4xDic5):29C2 = C2xC23.D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):29C2320,1154
(C2xC4xDic5):30C2 = C2xDic5:4D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):30C2320,1157
(C2xC4xDic5):31C2 = C2xDic5.5D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):31C2320,1163
(C2xC4xDic5):32C2 = C2xC4:C4:7D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):32C2320,1174
(C2xC4xDic5):33C2 = C2xC4:C4:D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):33C2320,1184
(C2xC4xDic5):34C2 = C4xD4:2D5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):34C2320,1208
(C2xC4xDic5):35C2 = C42.102D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):35C2320,1210
(C2xC4xDic5):36C2 = C4:C4.197D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):36C2320,1321
(C2xC4xDic5):37C2 = C2xC23.21D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):37C2320,1458
(C2xC4xDic5):38C2 = C2xC4xC5:D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5):38C2320,1460
(C2xC4xDic5):39C2 = D5xC2xC42φ: trivial image160(C2xC4xDic5):39C2320,1143

Non-split extensions G=N.Q with N=C2xC4xDic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xDic5).1C2 = C20.32C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic580(C2xC4xDic5).1C2320,90
(C2xC4xDic5).2C2 = C20.33C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic580(C2xC4xDic5).2C2320,113
(C2xC4xDic5).3C2 = C20:4(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).3C2320,600
(C2xC4xDic5).4C2 = (C2xDic5):6Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).4C2320,601
(C2xC4xDic5).5C2 = C4:C4xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).5C2320,602
(C2xC4xDic5).6C2 = C20:5(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).6C2320,603
(C2xC4xDic5).7C2 = C20.48(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).7C2320,604
(C2xC4xDic5).8C2 = C20:6(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).8C2320,612
(C2xC4xDic5).9C2 = M4(2)xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).9C2320,744
(C2xC4xDic5).10C2 = Dic5:5M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).10C2320,745
(C2xC4xDic5).11C2 = (Q8xC10):17C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).11C2320,857
(C2xC4xDic5).12C2 = C2xC20:Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).12C2320,1169
(C2xC4xDic5).13C2 = C2xC4.Dic10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).13C2320,1171
(C2xC4xDic5).14C2 = C42.88D10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).14C2320,1189
(C2xC4xDic5).15C2 = (Q8xDic5):C2φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).15C2320,1294
(C2xC4xDic5).16C2 = C2xDic5:Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).16C2320,1482
(C2xC4xDic5).17C2 = C2xQ8xDic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).17C2320,1483
(C2xC4xDic5).18C2 = (C2xC40):15C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).18C2320,108
(C2xC4xDic5).19C2 = C10.(C4:C8)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).19C2320,256
(C2xC4xDic5).20C2 = (C2xC20):Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).20C2320,273
(C2xC4xDic5).21C2 = C10.49(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).21C2320,274
(C2xC4xDic5).22C2 = Dic5.15C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).22C2320,275
(C2xC4xDic5).23C2 = Dic5:2C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).23C2320,276
(C2xC4xDic5).24C2 = C5:2(C42:8C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).24C2320,277
(C2xC4xDic5).25C2 = C5:2(C42:5C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).25C2320,278
(C2xC4xDic5).26C2 = C10.51(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).26C2320,279
(C2xC4xDic5).27C2 = C2.(C4xD20)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).27C2320,280
(C2xC4xDic5).28C2 = C4:Dic5:15C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).28C2320,281
(C2xC4xDic5).29C2 = C10.52(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).29C2320,282
(C2xC4xDic5).30C2 = Dic5.14M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).30C2320,345
(C2xC4xDic5).31C2 = Dic5.9M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).31C2320,346
(C2xC4xDic5).32C2 = C4xC10.D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).32C2320,558
(C2xC4xDic5).33C2 = C42:4Dic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).33C2320,559
(C2xC4xDic5).34C2 = C4xC4:Dic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).34C2320,561
(C2xC4xDic5).35C2 = C10.96(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).35C2320,599
(C2xC4xDic5).36C2 = C10.97(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).36C2320,605
(C2xC4xDic5).37C2 = C4:C4:5Dic5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).37C2320,608
(C2xC4xDic5).38C2 = C2xC20.8Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).38C2320,726
(C2xC4xDic5).39C2 = C2xC40:8C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).39C2320,727
(C2xC4xDic5).40C2 = C2xC10.C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).40C2320,1087
(C2xC4xDic5).41C2 = C2xDic5:C8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).41C2320,1090
(C2xC4xDic5).42C2 = Dic5.13M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).42C2320,1095
(C2xC4xDic5).43C2 = C2xC4xDic10φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).43C2320,1139
(C2xC4xDic5).44C2 = C2xDic5:3Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).44C2320,1168
(C2xC4xDic5).45C2 = C2xDic5.Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).45C2320,1170
(C2xC4xDic5).46C2 = C2xC20:C8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).46C2320,1085
(C2xC4xDic5).47C2 = C20:8M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).47C2320,1096
(C2xC4xDic5).48C2 = C20.30M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).48C2320,1097
(C2xC4xDic5).49C2 = Dic5.12M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).49C2320,1086
(C2xC4xDic5).50C2 = C2xC4xC5:C8φ: C2/C1 → C2 ⊆ Out C2xC4xDic5320(C2xC4xDic5).50C2320,1084
(C2xC4xDic5).51C2 = C4xC22.F5φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).51C2320,1088
(C2xC4xDic5).52C2 = C20.34M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic5160(C2xC4xDic5).52C2320,1092
(C2xC4xDic5).53C2 = C42xDic5φ: trivial image320(C2xC4xDic5).53C2320,557
(C2xC4xDic5).54C2 = C2xC8xDic5φ: trivial image320(C2xC4xDic5).54C2320,725

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