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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⋊Dic5320C2^2xC4:Dic5320,1457

Semidirect products G=N:Q with N=C2×C4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic5)⋊1C2 = D10⋊3(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):1C2320,295
(C2×C4⋊Dic5)⋊2C2 = C10.55(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):2C2320,297
(C2×C4⋊Dic5)⋊3C2 = (C2×C4).21D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):3C2320,301
(C2×C4⋊Dic5)⋊4C2 = (C2×C20).33D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):4C2320,304
(C2×C4⋊Dic5)⋊5C2 = C23.38D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):5C2320,362
(C2×C4⋊Dic5)⋊6C2 = C22.D40φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):6C2320,363
(C2×C4⋊Dic5)⋊7C2 = (C2×C4)⋊6D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):7C2320,566
(C2×C4⋊Dic5)⋊8C2 = C24.6D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):8C2320,575
(C2×C4⋊Dic5)⋊9C2 = C24.7D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):9C2320,576
(C2×C4⋊Dic5)⋊10C2 = C24.47D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):10C2320,577
(C2×C4⋊Dic5)⋊11C2 = C24.8D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):11C2320,578
(C2×C4⋊Dic5)⋊12C2 = C23.14D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):12C2320,580
(C2×C4⋊Dic5)⋊13C2 = C24.16D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):13C2320,588
(C2×C4⋊Dic5)⋊14C2 = (C2×C20).56D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):14C2320,621
(C2×C4⋊Dic5)⋊15C2 = C2×D20⋊5C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):15C2320,739
(C2×C4⋊Dic5)⋊16C2 = C24.64D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):16C2320,839
(C2×C4⋊Dic5)⋊17C2 = C2×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):17C2320,1153
(C2×C4⋊Dic5)⋊18C2 = C2×C23.D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):18C2320,1154
(C2×C4⋊Dic5)⋊19C2 = C2×D10.12D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):19C2320,1160
(C2×C4⋊Dic5)⋊20C2 = C2×C22.D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):20C2320,1164
(C2×C4⋊Dic5)⋊21C2 = C2×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):21C2320,1181
(C2×C4⋊Dic5)⋊22C2 = C2×C4⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):22C2320,1184
(C2×C4⋊Dic5)⋊23C2 = C42.105D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):23C2320,1213
(C2×C4⋊Dic5)⋊24C2 = D4⋊6Dic10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):24C2320,1215
(C2×C4⋊Dic5)⋊25C2 = D4⋊6D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):25C2320,1227
(C2×C4⋊Dic5)⋊26C2 = C42.119D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):26C2320,1237
(C2×C4⋊Dic5)⋊27C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):27C2320,1337
(C2×C4⋊Dic5)⋊28C2 = C2×C20.48D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):28C2320,1456
(C2×C4⋊Dic5)⋊29C2 = C2×C20⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):29C2320,1462
(C2×C4⋊Dic5)⋊30C2 = D10⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):30C2320,614
(C2×C4⋊Dic5)⋊31C2 = (C2×C10).D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):31C2320,660
(C2×C4⋊Dic5)⋊32C2 = C4⋊D4.D5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):32C2320,661
(C2×C4⋊Dic5)⋊33C2 = C23.49D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):33C2320,760
(C2×C4⋊Dic5)⋊34C2 = C2×D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):34C2320,841
(C2×C4⋊Dic5)⋊35C2 = C24.19D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):35C2320,848
(C2×C4⋊Dic5)⋊36C2 = C4○D4⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):36C2320,859
(C2×C4⋊Dic5)⋊37C2 = C2×D5×C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):37C2320,1173
(C2×C4⋊Dic5)⋊38C2 = C2×C4⋊C4⋊7D5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):38C2320,1174
(C2×C4⋊Dic5)⋊39C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):39C2320,1195
(C2×C4⋊Dic5)⋊40C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):40C2320,1283
(C2×C4⋊Dic5)⋊41C2 = C10.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):41C2320,1290
(C2×C4⋊Dic5)⋊42C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):42C2320,1307
(C2×C4⋊Dic5)⋊43C2 = C10.772- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):43C2320,1314
(C2×C4⋊Dic5)⋊44C2 = C2×D4×Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):44C2320,1467
(C2×C4⋊Dic5)⋊45C2 = C2×C20⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):45C2320,1472
(C2×C4⋊Dic5)⋊46C2 = C2×D10⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):46C2320,1485
(C2×C4⋊Dic5)⋊47C2 = C10.1062- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):47C2320,1499
(C2×C4⋊Dic5)⋊48C2 = C10.1472+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5):48C2320,1505
(C2×C4⋊Dic5)⋊49C2 = C2×C4×D20φ: trivial image160(C2xC4:Dic5):49C2320,1145
(C2×C4⋊Dic5)⋊50C2 = C2×C23.21D10φ: trivial image160(C2xC4:Dic5):50C2320,1458

Non-split extensions G=N.Q with N=C2×C4⋊Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic5).1C2 = C20.39C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).1C2320,109
(C2×C4⋊Dic5).2C2 = (C2×C20)⋊1C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).2C2320,251
(C2×C4⋊Dic5).3C2 = C10.49(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).3C2320,274
(C2×C4⋊Dic5).4C2 = C2.(C4×D20)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).4C2320,280
(C2×C4⋊Dic5).5C2 = C4⋊Dic5⋊15C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).5C2320,281
(C2×C4⋊Dic5).6C2 = C10.52(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).6C2320,282
(C2×C4⋊Dic5).7C2 = (C2×Dic5)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).7C2320,283
(C2×C4⋊Dic5).8C2 = C2.(C20⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).8C2320,284
(C2×C4⋊Dic5).9C2 = (C2×C20).28D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).9C2320,286
(C2×C4⋊Dic5).10C2 = (C2×C4).Dic10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).10C2320,287
(C2×C4⋊Dic5).11C2 = C10.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).11C2320,288
(C2×C4⋊Dic5).12C2 = C23.34D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).12C2320,348
(C2×C4⋊Dic5).13C2 = C23.35D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).13C2320,349
(C2×C4⋊Dic5).14C2 = C20⋊7(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).14C2320,555
(C2×C4⋊Dic5).15C2 = (C2×C20)⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).15C2320,556
(C2×C4⋊Dic5).16C2 = C42⋊8Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).16C2320,562
(C2×C4⋊Dic5).17C2 = C42⋊9Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).17C2320,563
(C2×C4⋊Dic5).18C2 = C4⋊C4⋊5Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).18C2320,608
(C2×C4⋊Dic5).19C2 = (C2×C20).53D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).19C2320,610
(C2×C4⋊Dic5).20C2 = (C2×C20).54D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).20C2320,611
(C2×C4⋊Dic5).21C2 = (C2×C20).55D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).21C2320,613
(C2×C4⋊Dic5).22C2 = C2×C20.44D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).22C2320,730
(C2×C4⋊Dic5).23C2 = C2×C40⋊6C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).23C2320,731
(C2×C4⋊Dic5).24C2 = C2×C40⋊5C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).24C2320,732
(C2×C4⋊Dic5).25C2 = C2×C20⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).25C2320,1140
(C2×C4⋊Dic5).26C2 = C2×C20.6Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).26C2320,1141
(C2×C4⋊Dic5).27C2 = C2×Dic5.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).27C2320,1170
(C2×C4⋊Dic5).28C2 = C20.31C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).28C2320,87
(C2×C4⋊Dic5).29C2 = M4(2)⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).29C2320,112
(C2×C4⋊Dic5).30C2 = C2×C10.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).30C2320,589
(C2×C4⋊Dic5).31C2 = C2×C20.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).31C2320,590
(C2×C4⋊Dic5).32C2 = C20⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).32C2320,600
(C2×C4⋊Dic5).33C2 = C4⋊C4×Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).33C2320,602
(C2×C4⋊Dic5).34C2 = C20⋊5(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).34C2320,603
(C2×C4⋊Dic5).35C2 = C20.48(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).35C2320,604
(C2×C4⋊Dic5).36C2 = C20⋊6(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).36C2320,612
(C2×C4⋊Dic5).37C2 = C20.64(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).37C2320,622
(C2×C4⋊Dic5).38C2 = C22⋊Q8.D5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).38C2320,670
(C2×C4⋊Dic5).39C2 = (C2×C10).Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).39C2320,671
(C2×C4⋊Dic5).40C2 = C23.47D20φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).40C2320,748
(C2×C4⋊Dic5).41C2 = C2×Q8⋊Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).41C2320,851
(C2×C4⋊Dic5).42C2 = (Q8×C10)⋊17C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).42C2320,857
(C2×C4⋊Dic5).43C2 = C2×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).43C2320,1169
(C2×C4⋊Dic5).44C2 = C2×C4.Dic10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).44C2320,1171
(C2×C4⋊Dic5).45C2 = C42.90D10φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5160(C2xC4:Dic5).45C2320,1191
(C2×C4⋊Dic5).46C2 = C2×Q8×Dic5φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic5320(C2xC4:Dic5).46C2320,1483
(C2×C4⋊Dic5).47C2 = C4×C4⋊Dic5φ: trivial image320(C2xC4:Dic5).47C2320,561
(C2×C4⋊Dic5).48C2 = C2×C4×Dic10φ: trivial image320(C2xC4:Dic5).48C2320,1139

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