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Extensions 1→N→G→Q→1 with N=D5×C4⋊C4 and Q=C2

Direct product G=N×Q with N=D5×C4⋊C4 and Q=C2
dρLabelID
C2×D5×C4⋊C4160C2xD5xC4:C4320,1173

Semidirect products G=N:Q with N=D5×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C4⋊C4)⋊1C2 = D5×D4⋊C4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4):1C2320,396
(D5×C4⋊C4)⋊2C2 = D4⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):2C2320,398
(D5×C4⋊C4)⋊3C2 = D10.12D8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):3C2320,401
(D5×C4⋊C4)⋊4C2 = D10.16SD16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):4C2320,404
(D5×C4⋊C4)⋊5C2 = Q8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):5C2320,430
(D5×C4⋊C4)⋊6C2 = D10.17SD16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):6C2320,490
(D5×C4⋊C4)⋊7C2 = D10.13D8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):7C2320,509
(D5×C4⋊C4)⋊8C2 = C10.82+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):8C2320,1176
(D5×C4⋊C4)⋊9C2 = C10.2- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):9C2320,1179
(D5×C4⋊C4)⋊10C2 = C10.102+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):10C2320,1183
(D5×C4⋊C4)⋊11C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):11C2320,1195
(D5×C4⋊C4)⋊12C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):12C2320,1201
(D5×C4⋊C4)⋊13C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):13C2320,1202
(D5×C4⋊C4)⋊14C2 = C42.108D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):14C2320,1218
(D5×C4⋊C4)⋊15C2 = D20⋊24D4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):15C2320,1223
(D5×C4⋊C4)⋊16C2 = C42.113D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):16C2320,1230
(D5×C4⋊C4)⋊17C2 = C42.126D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):17C2320,1246
(D5×C4⋊C4)⋊18C2 = D20⋊10Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):18C2320,1251
(D5×C4⋊C4)⋊19C2 = C42.132D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):19C2320,1253
(D5×C4⋊C4)⋊20C2 = D5×C4⋊D4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4):20C2320,1276
(D5×C4⋊C4)⋊21C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):21C2320,1280
(D5×C4⋊C4)⋊22C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):22C2320,1283
(D5×C4⋊C4)⋊23C2 = C10.432+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):23C2320,1286
(D5×C4⋊C4)⋊24C2 = D5×C22⋊Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4):24C2320,1298
(D5×C4⋊C4)⋊25C2 = C10.172- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):25C2320,1301
(D5×C4⋊C4)⋊26C2 = D20⋊22D4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):26C2320,1303
(D5×C4⋊C4)⋊27C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):27C2320,1307
(D5×C4⋊C4)⋊28C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):28C2320,1308
(D5×C4⋊C4)⋊29C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):29C2320,1310
(D5×C4⋊C4)⋊30C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):30C2320,1311
(D5×C4⋊C4)⋊31C2 = D5×C22.D4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4):31C2320,1324
(D5×C4⋊C4)⋊32C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):32C2320,1327
(D5×C4⋊C4)⋊33C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):33C2320,1332
(D5×C4⋊C4)⋊34C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):34C2320,1333
(D5×C4⋊C4)⋊35C2 = D20⋊7Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):35C2320,1362
(D5×C4⋊C4)⋊36C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):36C2320,1364
(D5×C4⋊C4)⋊37C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):37C2320,1365
(D5×C4⋊C4)⋊38C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):38C2320,1366
(D5×C4⋊C4)⋊39C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):39C2320,1367
(D5×C4⋊C4)⋊40C2 = D5×C42⋊2C2φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4):40C2320,1375
(D5×C4⋊C4)⋊41C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):41C2320,1379
(D5×C4⋊C4)⋊42C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):42C2320,1380
(D5×C4⋊C4)⋊43C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):43C2320,1381
(D5×C4⋊C4)⋊44C2 = D20⋊12D4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):44C2320,1398
(D5×C4⋊C4)⋊45C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4):45C2320,1402
(D5×C4⋊C4)⋊46C2 = D5×C42⋊C2φ: trivial image80(D5xC4:C4):46C2320,1192
(D5×C4⋊C4)⋊47C2 = C4×D4×D5φ: trivial image80(D5xC4:C4):47C2320,1216

Non-split extensions G=N.Q with N=D5×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D5×C4⋊C4).1C2 = D5×Q8⋊C4φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).1C2320,428
(D5×C4⋊C4).2C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).2C2320,432
(D5×C4⋊C4).3C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).3C2320,436
(D5×C4⋊C4).4C2 = D5×C4.Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).4C2320,486
(D5×C4⋊C4).5C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).5C2320,488
(D5×C4⋊C4).6C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).6C2320,489
(D5×C4⋊C4).7C2 = D5×C2.D8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).7C2320,506
(D5×C4⋊C4).8C2 = C40⋊20(C2×C4)φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).8C2320,508
(D5×C4⋊C4).9C2 = D10.8Q16φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).9C2320,511
(D5×C4⋊C4).10C2 = D5×C42.C2φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).10C2320,1359
(D5×C4⋊C4).11C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).11C2320,1361
(D5×C4⋊C4).12C2 = D5×C4⋊Q8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).12C2320,1395
(D5×C4⋊C4).13C2 = C42.174D10φ: C2/C1 → C2 ⊆ Out D5×C4⋊C4160(D5xC4:C4).13C2320,1401
(D5×C4⋊C4).14C2 = D10.18D8φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4).14C2320,212
(D5×C4⋊C4).15C2 = C4⋊C4×F5φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4).15C2320,1048
(D5×C4⋊C4).16C2 = C4⋊C4⋊5F5φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4).16C2320,1049
(D5×C4⋊C4).17C2 = C20⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out D5×C4⋊C480(D5xC4:C4).17C2320,1050
(D5×C4⋊C4).18C2 = C4×Q8×D5φ: trivial image160(D5xC4:C4).18C2320,1243

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