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Extensions 1→N→G→Q→1 with N=Dic5.14D4 and Q=C2

Direct product G=NxQ with N=Dic5.14D4 and Q=C2
dρLabelID
C2xDic5.14D4160C2xDic5.14D4320,1153

Semidirect products G=N:Q with N=Dic5.14D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.14D4:1C2 = C23:2Dic10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:1C2320,1155
Dic5.14D4:2C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:2C2320,1162
Dic5.14D4:3C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:3C2320,1167
Dic5.14D4:4C2 = C42:10D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:4C2320,1199
Dic5.14D4:5C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:5C2320,1203
Dic5.14D4:6C2 = D4xDic10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:6C2320,1209
Dic5.14D4:7C2 = D4:5Dic10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:7C2320,1211
Dic5.14D4:8C2 = D4:6Dic10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:8C2320,1215
Dic5.14D4:9C2 = C42:17D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:9C2320,1232
Dic5.14D4:10C2 = C42.118D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:10C2320,1236
Dic5.14D4:11C2 = C24.56D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:11C2320,1258
Dic5.14D4:12C2 = C24.32D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:12C2320,1259
Dic5.14D4:13C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:13C2320,1263
Dic5.14D4:14C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:14C2320,1265
Dic5.14D4:15C2 = C10.682- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:15C2320,1269
Dic5.14D4:16C2 = Dic10:19D4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:16C2320,1270
Dic5.14D4:17C2 = C10.352+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:17C2320,1274
Dic5.14D4:18C2 = C10.362+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:18C2320,1275
Dic5.14D4:19C2 = C10.392+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:19C2320,1280
Dic5.14D4:20C2 = C10.732- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:20C2320,1283
Dic5.14D4:21C2 = C10.742- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:21C2320,1293
Dic5.14D4:22C2 = D5xC22:Q8φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:22C2320,1298
Dic5.14D4:23C2 = Dic10:21D4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:23C2320,1304
Dic5.14D4:24C2 = C10.512+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:24C2320,1306
Dic5.14D4:25C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:25C2320,1307
Dic5.14D4:26C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:26C2320,1308
Dic5.14D4:27C2 = C10.792- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:27C2320,1320
Dic5.14D4:28C2 = C4:C4.197D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:28C2320,1321
Dic5.14D4:29C2 = C10.802- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:29C2320,1322
Dic5.14D4:30C2 = C10.812- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:30C2320,1323
Dic5.14D4:31C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:31C2320,1327
Dic5.14D4:32C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D480Dic5.14D4:32C2320,1330
Dic5.14D4:33C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:33C2320,1332
Dic5.14D4:34C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:34C2320,1334
Dic5.14D4:35C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:35C2320,1337
Dic5.14D4:36C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:36C2320,1339
Dic5.14D4:37C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:37C2320,1341
Dic5.14D4:38C2 = C42.139D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:38C2320,1343
Dic5.14D4:39C2 = C42.140D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:39C2320,1344
Dic5.14D4:40C2 = C42.141D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:40C2320,1347
Dic5.14D4:41C2 = Dic10:10D4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:41C2320,1349
Dic5.14D4:42C2 = C42.144D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:42C2320,1354
Dic5.14D4:43C2 = C42.145D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:43C2320,1356
Dic5.14D4:44C2 = C42.160D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:44C2320,1374
Dic5.14D4:45C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:45C2320,1379
Dic5.14D4:46C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:46C2320,1380
Dic5.14D4:47C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:47C2320,1382
Dic5.14D4:48C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4:48C2320,1384
Dic5.14D4:49C2 = C42.102D10φ: trivial image160Dic5.14D4:49C2320,1210
Dic5.14D4:50C2 = C42:12D10φ: trivial image80Dic5.14D4:50C2320,1219

Non-split extensions G=N.Q with N=Dic5.14D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.14D4.1C2 = C42.90D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4.1C2320,1191
Dic5.14D4.2C2 = (Q8xDic5):C2φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4.2C2320,1294
Dic5.14D4.3C2 = C10.502+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4.3C2320,1295
Dic5.14D4.4C2 = C42.159D10φ: C2/C1 → C2 ⊆ Out Dic5.14D4160Dic5.14D4.4C2320,1373
Dic5.14D4.5C2 = C42.88D10φ: trivial image160Dic5.14D4.5C2320,1189

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