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Extensions 1→N→G→Q→1 with N=C4×Dic10 and Q=C2

Direct product G=N×Q with N=C4×Dic10 and Q=C2
dρLabelID
C2×C4×Dic10320C2xC4xDic10320,1139

Semidirect products G=N:Q with N=C4×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic10)⋊1C2 = C4×C40⋊C2φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):1C2320,318
(C4×Dic10)⋊2C2 = C42.16D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):2C2320,337
(C4×Dic10)⋊3C2 = C42.274D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):3C2320,1142
(C4×Dic10)⋊4C2 = C42.277D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):4C2320,1151
(C4×Dic10)⋊5C2 = C42.87D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):5C2320,1188
(C4×Dic10)⋊6C2 = C42.88D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):6C2320,1189
(C4×Dic10)⋊7C2 = C42.89D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):7C2320,1190
(C4×Dic10)⋊8C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):8C2320,1195
(C4×Dic10)⋊9C2 = C42.93D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):9C2320,1200
(C4×Dic10)⋊10C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):10C2320,1203
(C4×Dic10)⋊11C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):11C2320,1205
(C4×Dic10)⋊12C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):12C2320,1206
(C4×Dic10)⋊13C2 = C42.159D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):13C2320,1373
(C4×Dic10)⋊14C2 = C42.160D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):14C2320,1374
(C4×Dic10)⋊15C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):15C2320,1380
(C4×Dic10)⋊16C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):16C2320,1382
(C4×Dic10)⋊17C2 = C42.36D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):17C2320,472
(C4×Dic10)⋊18C2 = Dic10⋊8D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):18C2320,475
(C4×Dic10)⋊19C2 = C4×D4.D5φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):19C2320,644
(C4×Dic10)⋊20C2 = C42.51D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):20C2320,645
(C4×Dic10)⋊21C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):21C2320,681
(C4×Dic10)⋊22C2 = Dic10⋊9D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):22C2320,702
(C4×Dic10)⋊23C2 = C4×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):23C2320,1208
(C4×Dic10)⋊24C2 = D4×Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):24C2320,1209
(C4×Dic10)⋊25C2 = C42.102D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):25C2320,1210
(C4×Dic10)⋊26C2 = D4⋊5Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):26C2320,1211
(C4×Dic10)⋊27C2 = C42.105D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):27C2320,1213
(C4×Dic10)⋊28C2 = C42.106D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):28C2320,1214
(C4×Dic10)⋊29C2 = D4⋊6Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):29C2320,1215
(C4×Dic10)⋊30C2 = C42.108D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):30C2320,1218
(C4×Dic10)⋊31C2 = Dic10⋊23D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):31C2320,1224
(C4×Dic10)⋊32C2 = Dic10⋊24D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):32C2320,1225
(C4×Dic10)⋊33C2 = C42.229D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):33C2320,1229
(C4×Dic10)⋊34C2 = C42.114D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):34C2320,1231
(C4×Dic10)⋊35C2 = C42.115D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):35C2320,1233
(C4×Dic10)⋊36C2 = C42.122D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):36C2320,1240
(C4×Dic10)⋊37C2 = C4×Q8×D5φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):37C2320,1243
(C4×Dic10)⋊38C2 = C42.125D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):38C2320,1244
(C4×Dic10)⋊39C2 = C42.232D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):39C2320,1250
(C4×Dic10)⋊40C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):40C2320,1255
(C4×Dic10)⋊41C2 = C42.135D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):41C2320,1256
(C4×Dic10)⋊42C2 = C42.136D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):42C2320,1257
(C4×Dic10)⋊43C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):43C2320,1341
(C4×Dic10)⋊44C2 = C42.139D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):44C2320,1343
(C4×Dic10)⋊45C2 = Dic10⋊10D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):45C2320,1349
(C4×Dic10)⋊46C2 = C42.143D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):46C2320,1353
(C4×Dic10)⋊47C2 = D20⋊7Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):47C2320,1362
(C4×Dic10)⋊48C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):48C2320,1366
(C4×Dic10)⋊49C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):49C2320,1368
(C4×Dic10)⋊50C2 = C42.166D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):50C2320,1385
(C4×Dic10)⋊51C2 = Dic10⋊11D4φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):51C2320,1390
(C4×Dic10)⋊52C2 = D20⋊8Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):52C2320,1399
(C4×Dic10)⋊53C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):53C2320,1402
(C4×Dic10)⋊54C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out C4×Dic10160(C4xDic10):54C2320,1404
(C4×Dic10)⋊55C2 = C4×C4○D20φ: trivial image160(C4xDic10):55C2320,1146

Non-split extensions G=N.Q with N=C4×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×Dic10).1C2 = Dic10⋊3C8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).1C2320,14
(C4×Dic10).2C2 = C40⋊11Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).2C2320,306
(C4×Dic10).3C2 = C4×Dic20φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).3C2320,325
(C4×Dic10).4C2 = C40⋊Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).4C2320,328
(C4×Dic10).5C2 = Dic20⋊9C4φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).5C2320,343
(C4×Dic10).6C2 = Dic10⋊4C8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).6C2320,42
(C4×Dic10).7C2 = Dic5.5M4(2)φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).7C2320,455
(C4×Dic10).8C2 = Dic10.3Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).8C2320,456
(C4×Dic10).9C2 = Dic10⋊5C8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).9C2320,457
(C4×Dic10).10C2 = C42.198D10φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).10C2320,458
(C4×Dic10).11C2 = C4⋊Dic20φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).11C2320,476
(C4×Dic10).12C2 = C20.7Q16φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).12C2320,477
(C4×Dic10).13C2 = Dic10⋊4Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).13C2320,478
(C4×Dic10).14C2 = C4×C5⋊Q16φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).14C2320,656
(C4×Dic10).15C2 = C42.59D10φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).15C2320,657
(C4×Dic10).16C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).16C2320,690
(C4×Dic10).17C2 = C20⋊Q16φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).17C2320,717
(C4×Dic10).18C2 = Dic10⋊5Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).18C2320,718
(C4×Dic10).19C2 = Dic10⋊6Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).19C2320,721
(C4×Dic10).20C2 = Q8×Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).20C2320,1238
(C4×Dic10).21C2 = Dic10⋊10Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).21C2320,1239
(C4×Dic10).22C2 = Q8⋊5Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).22C2320,1241
(C4×Dic10).23C2 = Q8⋊6Dic10φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).23C2320,1242
(C4×Dic10).24C2 = Dic10⋊7Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).24C2320,1357
(C4×Dic10).25C2 = Dic10⋊8Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).25C2320,1393
(C4×Dic10).26C2 = Dic10⋊9Q8φ: C2/C1 → C2 ⊆ Out C4×Dic10320(C4xDic10).26C2320,1394
(C4×Dic10).27C2 = C8×Dic10φ: trivial image320(C4xDic10).27C2320,305

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