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Extensions 1→N→G→Q→1 with N=Dic5:3Q8 and Q=C2

Direct product G=NxQ with N=Dic5:3Q8 and Q=C2
dρLabelID
C2xDic5:3Q8320C2xDic5:3Q8320,1168

Semidirect products G=N:Q with N=Dic5:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:3Q8:1C2 = D4.D5:5C4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:1C2320,384
Dic5:3Q8:2C2 = Dic5:6SD16φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:2C2320,385
Dic5:3Q8:3C2 = Dic10:2D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:3C2320,389
Dic5:3Q8:4C2 = Dic10.D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:4C2320,394
Dic5:3Q8:5C2 = Dic10.11D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:5C2320,425
Dic5:3Q8:6C2 = Dic5:8SD16φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:6C2320,479
Dic5:3Q8:7C2 = C40:21(C2xC4)φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:7C2320,516
Dic5:3Q8:8C2 = C10.82+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:8C2320,1176
Dic5:3Q8:9C2 = C10.102+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:9C2320,1183
Dic5:3Q8:10C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:10C2320,1185
Dic5:3Q8:11C2 = C42.87D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:11C2320,1188
Dic5:3Q8:12C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:12C2320,1201
Dic5:3Q8:13C2 = C42.98D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:13C2320,1205
Dic5:3Q8:14C2 = C42.106D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:14C2320,1214
Dic5:3Q8:15C2 = C42.108D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:15C2320,1218
Dic5:3Q8:16C2 = C42.114D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:16C2320,1231
Dic5:3Q8:17C2 = C42.122D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:17C2320,1240
Dic5:3Q8:18C2 = C42.125D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:18C2320,1244
Dic5:3Q8:19C2 = Dic10:19D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:19C2320,1270
Dic5:3Q8:20C2 = Dic10:20D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:20C2320,1271
Dic5:3Q8:21C2 = C4:C4.178D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:21C2320,1272
Dic5:3Q8:22C2 = C10.362+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:22C2320,1275
Dic5:3Q8:23C2 = (Q8xDic5):C2φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:23C2320,1294
Dic5:3Q8:24C2 = C10.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:24C2320,1297
Dic5:3Q8:25C2 = Dic10:21D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:25C2320,1304
Dic5:3Q8:26C2 = Dic10:22D4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:26C2320,1305
Dic5:3Q8:27C2 = C10.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:27C2320,1308
Dic5:3Q8:28C2 = C10.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:28C2320,1312
Dic5:3Q8:29C2 = C10.232- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:29C2320,1313
Dic5:3Q8:30C2 = C4:C4.197D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:30C2320,1321
Dic5:3Q8:31C2 = C10.802- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:31C2320,1322
Dic5:3Q8:32C2 = C10.842- 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:32C2320,1334
Dic5:3Q8:33C2 = C10.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:33C2320,1336
Dic5:3Q8:34C2 = C42.236D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:34C2320,1360
Dic5:3Q8:35C2 = C42.237D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:35C2320,1363
Dic5:3Q8:36C2 = C42.151D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:36C2320,1365
Dic5:3Q8:37C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:37C2320,1368
Dic5:3Q8:38C2 = C42.155D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:38C2320,1369
Dic5:3Q8:39C2 = C42.159D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:39C2320,1373
Dic5:3Q8:40C2 = C42.160D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:40C2320,1374
Dic5:3Q8:41C2 = C42.189D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:41C2320,1378
Dic5:3Q8:42C2 = C42.241D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:42C2320,1400
Dic5:3Q8:43C2 = C42.178D10φ: C2/C1 → C2 ⊆ Out Dic5:3Q8160Dic5:3Q8:43C2320,1405
Dic5:3Q8:44C2 = C42.188D10φ: trivial image160Dic5:3Q8:44C2320,1194
Dic5:3Q8:45C2 = C4xD4:2D5φ: trivial image160Dic5:3Q8:45C2320,1208
Dic5:3Q8:46C2 = C4xQ8xD5φ: trivial image160Dic5:3Q8:46C2320,1243

Non-split extensions G=N.Q with N=Dic5:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:3Q8.1C2 = C5:Q16:5C4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.1C2320,416
Dic5:3Q8.2C2 = Dic5:4Q16φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.2C2320,417
Dic5:3Q8.3C2 = Dic5:Q16φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.3C2320,420
Dic5:3Q8.4C2 = Dic20:15C4φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.4C2320,480
Dic5:3Q8.5C2 = Dic10:Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.5C2320,481
Dic5:3Q8.6C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.6C2320,484
Dic5:3Q8.7C2 = Dic5:5Q16φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.7C2320,500
Dic5:3Q8.8C2 = Dic10:2Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.8C2320,502
Dic5:3Q8.9C2 = Dic10.2Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.9C2320,504
Dic5:3Q8.10C2 = Dic10:10Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.10C2320,1239
Dic5:3Q8.11C2 = Dic10:7Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.11C2320,1357
Dic5:3Q8.12C2 = Dic10:8Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.12C2320,1393
Dic5:3Q8.13C2 = Dic10:9Q8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.13C2320,1394
Dic5:3Q8.14C2 = Dic10:1C8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.14C2320,210
Dic5:3Q8.15C2 = Dic10:C8φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.15C2320,1041
Dic5:3Q8.16C2 = Dic5.M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.16C2320,1045
Dic5:3Q8.17C2 = C20.M4(2)φ: C2/C1 → C2 ⊆ Out Dic5:3Q8320Dic5:3Q8.17C2320,1047

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