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Extensions 1→N→G→Q→1 with N=Dic5.Q8 and Q=C2

Direct product G=NxQ with N=Dic5.Q8 and Q=C2
dρLabelID
C2xDic5.Q8320C2xDic5.Q8320,1170

Semidirect products G=N:Q with N=Dic5.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.Q8:1C2 = C10.102+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:1C2320,1183
Dic5.Q8:2C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:2C2320,1185
Dic5.Q8:3C2 = C10.62- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:3C2320,1187
Dic5.Q8:4C2 = C42.89D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:4C2320,1190
Dic5.Q8:5C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:5C2320,1203
Dic5.Q8:6C2 = C42.104D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:6C2320,1212
Dic5.Q8:7C2 = C42.105D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:7C2320,1213
Dic5.Q8:8C2 = C42.118D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:8C2320,1236
Dic5.Q8:9C2 = C42.132D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:9C2320,1253
Dic5.Q8:10C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:10C2320,1255
Dic5.Q8:11C2 = C10.342+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:11C2320,1273
Dic5.Q8:12C2 = C10.352+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:12C2320,1274
Dic5.Q8:13C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:13C2320,1287
Dic5.Q8:14C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:14C2320,1293
Dic5.Q8:15C2 = (Q8xDic5):C2φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:15C2320,1294
Dic5.Q8:16C2 = C10.502+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:16C2320,1295
Dic5.Q8:17C2 = C10.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:17C2320,1297
Dic5.Q8:18C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:18C2320,1307
Dic5.Q8:19C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:19C2320,1308
Dic5.Q8:20C2 = C10.202- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:20C2320,1310
Dic5.Q8:21C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:21C2320,1311
Dic5.Q8:22C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:22C2320,1318
Dic5.Q8:23C2 = C10.262- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:23C2320,1319
Dic5.Q8:24C2 = C4:C4.197D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:24C2320,1321
Dic5.Q8:25C2 = C10.802- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:25C2320,1322
Dic5.Q8:26C2 = C10.812- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:26C2320,1323
Dic5.Q8:27C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:27C2320,1332
Dic5.Q8:28C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:28C2320,1333
Dic5.Q8:29C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:29C2320,1335
Dic5.Q8:30C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:30C2320,1337
Dic5.Q8:31C2 = D5xC42.C2φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:31C2320,1359
Dic5.Q8:32C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:32C2320,1361
Dic5.Q8:33C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:33C2320,1364
Dic5.Q8:34C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:34C2320,1365
Dic5.Q8:35C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:35C2320,1368
Dic5.Q8:36C2 = C42.159D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:36C2320,1373
Dic5.Q8:37C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:37C2320,1378
Dic5.Q8:38C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:38C2320,1380
Dic5.Q8:39C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:39C2320,1381
Dic5.Q8:40C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:40C2320,1384
Dic5.Q8:41C2 = C42.174D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:41C2320,1401
Dic5.Q8:42C2 = C42.176D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:42C2320,1403
Dic5.Q8:43C2 = C42.180D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8160Dic5.Q8:43C2320,1407
Dic5.Q8:44C2 = C42.93D10φ: trivial image160Dic5.Q8:44C2320,1200
Dic5.Q8:45C2 = C42.102D10φ: trivial image160Dic5.Q8:45C2320,1210
Dic5.Q8:46C2 = C42.232D10φ: trivial image160Dic5.Q8:46C2320,1250

Non-split extensions G=N.Q with N=Dic5.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.Q8.1C2 = Dic10:10Q8φ: C2/C1 → C2 ⊆ Out Dic5.Q8320Dic5.Q8.1C2320,1239
Dic5.Q8.2C2 = Dic10:7Q8φ: C2/C1 → C2 ⊆ Out Dic5.Q8320Dic5.Q8.2C2320,1357
Dic5.Q8.3C2 = C42.147D10φ: C2/C1 → C2 ⊆ Out Dic5.Q8320Dic5.Q8.3C2320,1358
Dic5.Q8.4C2 = Dic10:8Q8φ: C2/C1 → C2 ⊆ Out Dic5.Q8320Dic5.Q8.4C2320,1393

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