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Extensions 1→N→G→Q→1 with N=Dic5:4D4 and Q=C2

Direct product G=NxQ with N=Dic5:4D4 and Q=C2
dρLabelID
C2xDic5:4D4160C2xDic5:4D4320,1157

Semidirect products G=N:Q with N=Dic5:4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:4D4:1C2 = C24.56D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:1C2320,1258
Dic5:4D4:2C2 = C24:4D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:2C2320,1262
Dic5:4D4:3C2 = C24.33D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:3C2320,1263
Dic5:4D4:4C2 = C24.35D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:4C2320,1265
Dic5:4D4:5C2 = C20:(C4oD4)φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:5C2320,1268
Dic5:4D4:6C2 = Dic10:20D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:6C2320,1271
Dic5:4D4:7C2 = C10.342+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:7C2320,1273
Dic5:4D4:8C2 = C4:C4:21D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:8C2320,1278
Dic5:4D4:9C2 = C10.402+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:9C2320,1282
Dic5:4D4:10C2 = C10.422+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:10C2320,1285
Dic5:4D4:11C2 = C10.432+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:11C2320,1286
Dic5:4D4:12C2 = C10.442+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:12C2320,1287
Dic5:4D4:13C2 = C22:Q8:25D5φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:13C2320,1296
Dic5:4D4:14C2 = C4:C4:26D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:14C2320,1299
Dic5:4D4:15C2 = C10.562+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:15C2320,1316
Dic5:4D4:16C2 = C10.572+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:16C2320,1317
Dic5:4D4:17C2 = C4:C4.197D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:17C2320,1321
Dic5:4D4:18C2 = C10.1212+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:18C2320,1326
Dic5:4D4:19C2 = C10.822- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:19C2320,1327
Dic5:4D4:20C2 = C4:C4:28D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:20C2320,1328
Dic5:4D4:21C2 = C10.1222+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:21C2320,1330
Dic5:4D4:22C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:22C2320,1332
Dic5:4D4:23C2 = C10.642+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:23C2320,1333
Dic5:4D4:24C2 = C10.662+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:24C2320,1335
Dic5:4D4:25C2 = C10.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:25C2320,1336
Dic5:4D4:26C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:26C2320,1337
Dic5:4D4:27C2 = C42.233D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:27C2320,1340
Dic5:4D4:28C2 = C42.137D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:28C2320,1341
Dic5:4D4:29C2 = C42.138D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:29C2320,1342
Dic5:4D4:30C2 = Dic10:10D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:30C2320,1349
Dic5:4D4:31C2 = C42:20D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:31C2320,1350
Dic5:4D4:32C2 = C42:21D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:32C2320,1351
Dic5:4D4:33C2 = C42.234D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:33C2320,1352
Dic5:4D4:34C2 = C42.143D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:34C2320,1353
Dic5:4D4:35C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:35C2320,1378
Dic5:4D4:36C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:36C2320,1379
Dic5:4D4:37C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:37C2320,1381
Dic5:4D4:38C2 = C42.164D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:38C2320,1382
Dic5:4D4:39C2 = C24.24D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:39C2320,1158
Dic5:4D4:40C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:40C2320,1162
Dic5:4D4:41C2 = C24.31D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:41C2320,1167
Dic5:4D4:42C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:42C2320,1195
Dic5:4D4:43C2 = C42:10D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:43C2320,1199
Dic5:4D4:44C2 = C42.104D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:44C2320,1212
Dic5:4D4:45C2 = C42:11D10φ: C2/C1 → C2 ⊆ Out Dic5:4D480Dic5:4D4:45C2320,1217
Dic5:4D4:46C2 = C42.108D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:46C2320,1218
Dic5:4D4:47C2 = Dic10:23D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:47C2320,1224
Dic5:4D4:48C2 = C42.119D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4:48C2320,1237
Dic5:4D4:49C2 = C42.188D10φ: trivial image160Dic5:4D4:49C2320,1194
Dic5:4D4:50C2 = C4xD4:2D5φ: trivial image160Dic5:4D4:50C2320,1208
Dic5:4D4:51C2 = C4xD4xD5φ: trivial image80Dic5:4D4:51C2320,1216

Non-split extensions G=N.Q with N=Dic5:4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:4D4.1C2 = Dic10:21D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.1C2320,1304
Dic5:4D4.2C2 = C10.1182+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.2C2320,1307
Dic5:4D4.3C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.3C2320,1308
Dic5:4D4.4C2 = C42.160D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.4C2320,1374
Dic5:4D4.5C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.5C2320,1380
Dic5:4D4.6C2 = C42.96D10φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.6C2320,1203
Dic5:4D4.7C2 = C5:C8:D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.7C2320,1031
Dic5:4D4.8C2 = D10:M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.8C2320,1032
Dic5:4D4.9C2 = Dic5:M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.9C2320,1033
Dic5:4D4.10C2 = C5:C8:8D4φ: C2/C1 → C2 ⊆ Out Dic5:4D4160Dic5:4D4.10C2320,1030

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