# Extensions 1→N→G→Q→1 with N=C2×C4×Dic5 and Q=C2

Direct product G=N×Q with N=C2×C4×Dic5 and Q=C2
dρLabelID
C22×C4×Dic5320C2^2xC4xDic5320,1454

Semidirect products G=N:Q with N=C2×C4×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×Dic5)⋊1C2 = (C2×D20)⋊22C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):1C2320,615
(C2×C4×Dic5)⋊2C2 = C2×D207C4φ: C2/C1C2 ⊆ Out C2×C4×Dic580(C2xC4xDic5):2C2320,765
(C2×C4×Dic5)⋊3C2 = C24.19D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):3C2320,848
(C2×C4×Dic5)⋊4C2 = C2×D42Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic580(C2xC4xDic5):4C2320,862
(C2×C4×Dic5)⋊5C2 = C2×D208C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):5C2320,1175
(C2×C4×Dic5)⋊6C2 = C42.188D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):6C2320,1194
(C2×C4×Dic5)⋊7C2 = C20⋊(C4○D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):7C2320,1268
(C2×C4×Dic5)⋊8C2 = C4⋊C4.178D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):8C2320,1272
(C2×C4×Dic5)⋊9C2 = C22⋊Q825D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):9C2320,1296
(C2×C4×Dic5)⋊10C2 = C2×D4×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):10C2320,1467
(C2×C4×Dic5)⋊11C2 = C2×C20.17D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):11C2320,1469
(C2×C4×Dic5)⋊12C2 = C2×C20⋊D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):12C2320,1475
(C2×C4×Dic5)⋊13C2 = C2×C20.23D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):13C2320,1486
(C2×C4×Dic5)⋊14C2 = C4○D4×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):14C2320,1498
(C2×C4×Dic5)⋊15C2 = (C2×C20)⋊17D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):15C2320,1504
(C2×C4×Dic5)⋊16C2 = D102C42φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):16C2320,293
(C2×C4×Dic5)⋊17C2 = C10.54(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):17C2320,296
(C2×C4×Dic5)⋊18C2 = C10.55(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):18C2320,297
(C2×C4×Dic5)⋊19C2 = C4×D10⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):19C2320,565
(C2×C4×Dic5)⋊20C2 = C22⋊C4×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):20C2320,568
(C2×C4×Dic5)⋊21C2 = C24.3D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):21C2320,571
(C2×C4×Dic5)⋊22C2 = C24.4D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):22C2320,572
(C2×C4×Dic5)⋊23C2 = C24.8D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):23C2320,578
(C2×C4×Dic5)⋊24C2 = C24.13D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):24C2320,584
(C2×C4×Dic5)⋊25C2 = C10.90(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):25C2320,617
(C2×C4×Dic5)⋊26C2 = C4×C23.D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):26C2320,836
(C2×C4×Dic5)⋊27C2 = C2×C42⋊D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):27C2320,1144
(C2×C4×Dic5)⋊28C2 = C2×C23.11D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):28C2320,1152
(C2×C4×Dic5)⋊29C2 = C2×C23.D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):29C2320,1154
(C2×C4×Dic5)⋊30C2 = C2×Dic54D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):30C2320,1157
(C2×C4×Dic5)⋊31C2 = C2×Dic5.5D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):31C2320,1163
(C2×C4×Dic5)⋊32C2 = C2×C4⋊C47D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):32C2320,1174
(C2×C4×Dic5)⋊33C2 = C2×C4⋊C4⋊D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):33C2320,1184
(C2×C4×Dic5)⋊34C2 = C4×D42D5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):34C2320,1208
(C2×C4×Dic5)⋊35C2 = C42.102D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):35C2320,1210
(C2×C4×Dic5)⋊36C2 = C4⋊C4.197D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):36C2320,1321
(C2×C4×Dic5)⋊37C2 = C2×C23.21D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):37C2320,1458
(C2×C4×Dic5)⋊38C2 = C2×C4×C5⋊D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5):38C2320,1460
(C2×C4×Dic5)⋊39C2 = D5×C2×C42φ: trivial image160(C2xC4xDic5):39C2320,1143

Non-split extensions G=N.Q with N=C2×C4×Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×Dic5).1C2 = C20.32C42φ: C2/C1C2 ⊆ Out C2×C4×Dic580(C2xC4xDic5).1C2320,90
(C2×C4×Dic5).2C2 = C20.33C42φ: C2/C1C2 ⊆ Out C2×C4×Dic580(C2xC4xDic5).2C2320,113
(C2×C4×Dic5).3C2 = C204(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).3C2320,600
(C2×C4×Dic5).4C2 = (C2×Dic5)⋊6Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).4C2320,601
(C2×C4×Dic5).5C2 = C4⋊C4×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).5C2320,602
(C2×C4×Dic5).6C2 = C205(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).6C2320,603
(C2×C4×Dic5).7C2 = C20.48(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).7C2320,604
(C2×C4×Dic5).8C2 = C206(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).8C2320,612
(C2×C4×Dic5).9C2 = M4(2)×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).9C2320,744
(C2×C4×Dic5).10C2 = Dic55M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).10C2320,745
(C2×C4×Dic5).11C2 = (Q8×C10)⋊17C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).11C2320,857
(C2×C4×Dic5).12C2 = C2×C20⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).12C2320,1169
(C2×C4×Dic5).13C2 = C2×C4.Dic10φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).13C2320,1171
(C2×C4×Dic5).14C2 = C42.88D10φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).14C2320,1189
(C2×C4×Dic5).15C2 = (Q8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).15C2320,1294
(C2×C4×Dic5).16C2 = C2×Dic5⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).16C2320,1482
(C2×C4×Dic5).17C2 = C2×Q8×Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).17C2320,1483
(C2×C4×Dic5).18C2 = (C2×C40)⋊15C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).18C2320,108
(C2×C4×Dic5).19C2 = C10.(C4⋊C8)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).19C2320,256
(C2×C4×Dic5).20C2 = (C2×C20)⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).20C2320,273
(C2×C4×Dic5).21C2 = C10.49(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).21C2320,274
(C2×C4×Dic5).22C2 = Dic5.15C42φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).22C2320,275
(C2×C4×Dic5).23C2 = Dic52C42φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).23C2320,276
(C2×C4×Dic5).24C2 = C52(C428C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).24C2320,277
(C2×C4×Dic5).25C2 = C52(C425C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).25C2320,278
(C2×C4×Dic5).26C2 = C10.51(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).26C2320,279
(C2×C4×Dic5).27C2 = C2.(C4×D20)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).27C2320,280
(C2×C4×Dic5).28C2 = C4⋊Dic515C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).28C2320,281
(C2×C4×Dic5).29C2 = C10.52(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).29C2320,282
(C2×C4×Dic5).30C2 = Dic5.14M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).30C2320,345
(C2×C4×Dic5).31C2 = Dic5.9M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).31C2320,346
(C2×C4×Dic5).32C2 = C4×C10.D4φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).32C2320,558
(C2×C4×Dic5).33C2 = C424Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).33C2320,559
(C2×C4×Dic5).34C2 = C4×C4⋊Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).34C2320,561
(C2×C4×Dic5).35C2 = C10.96(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).35C2320,599
(C2×C4×Dic5).36C2 = C10.97(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).36C2320,605
(C2×C4×Dic5).37C2 = C4⋊C45Dic5φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).37C2320,608
(C2×C4×Dic5).38C2 = C2×C20.8Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).38C2320,726
(C2×C4×Dic5).39C2 = C2×C408C4φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).39C2320,727
(C2×C4×Dic5).40C2 = C2×C10.C42φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).40C2320,1087
(C2×C4×Dic5).41C2 = C2×Dic5⋊C8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).41C2320,1090
(C2×C4×Dic5).42C2 = Dic5.13M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).42C2320,1095
(C2×C4×Dic5).43C2 = C2×C4×Dic10φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).43C2320,1139
(C2×C4×Dic5).44C2 = C2×Dic53Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).44C2320,1168
(C2×C4×Dic5).45C2 = C2×Dic5.Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).45C2320,1170
(C2×C4×Dic5).46C2 = C2×C20⋊C8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).46C2320,1085
(C2×C4×Dic5).47C2 = C208M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).47C2320,1096
(C2×C4×Dic5).48C2 = C20.30M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).48C2320,1097
(C2×C4×Dic5).49C2 = Dic5.12M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).49C2320,1086
(C2×C4×Dic5).50C2 = C2×C4×C5⋊C8φ: C2/C1C2 ⊆ Out C2×C4×Dic5320(C2xC4xDic5).50C2320,1084
(C2×C4×Dic5).51C2 = C4×C22.F5φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).51C2320,1088
(C2×C4×Dic5).52C2 = C20.34M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic5160(C2xC4xDic5).52C2320,1092
(C2×C4×Dic5).53C2 = C42×Dic5φ: trivial image320(C2xC4xDic5).53C2320,557
(C2×C4×Dic5).54C2 = C2×C8×Dic5φ: trivial image320(C2xC4xDic5).54C2320,725

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