Extensions 1→N→G→Q→1 with N=D10:3Q8 and Q=C2

Direct product G=NxQ with N=D10:3Q8 and Q=C2
dρLabelID
C2xD10:3Q8160C2xD10:3Q8320,1485

Semidirect products G=N:Q with N=D10:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10:3Q8:1C2 = D10:2SD16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:1C2320,434
D10:3Q8:2C2 = C5:(C8:D4)φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:2C2320,439
D10:3Q8:3C2 = D10:6SD16φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:3C2320,796
D10:3Q8:4C2 = C40:14D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:4C2320,798
D10:3Q8:5C2 = Dic10.16D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:5C2320,800
D10:3Q8:6C2 = C40:8D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:6C2320,801
D10:3Q8:7C2 = D20.17D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:7C2320,814
D10:3Q8:8C2 = D20:10Q8φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:8C2320,1251
D10:3Q8:9C2 = C42.132D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:9C2320,1253
D10:3Q8:10C2 = C42.133D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:10C2320,1254
D10:3Q8:11C2 = C42.135D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:11C2320,1256
D10:3Q8:12C2 = D5xC22:Q8φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:12C2320,1298
D10:3Q8:13C2 = C4:C4:26D10φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:13C2320,1299
D10:3Q8:14C2 = C10.162- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:14C2320,1300
D10:3Q8:15C2 = C10.172- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:15C2320,1301
D10:3Q8:16C2 = C10.512+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:16C2320,1306
D10:3Q8:17C2 = C10.1182+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:17C2320,1307
D10:3Q8:18C2 = C10.522+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:18C2320,1308
D10:3Q8:19C2 = C10.532+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:19C2320,1309
D10:3Q8:20C2 = C10.202- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:20C2320,1310
D10:3Q8:21C2 = C10.212- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:21C2320,1311
D10:3Q8:22C2 = C10.232- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:22C2320,1313
D10:3Q8:23C2 = C10.772- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:23C2320,1314
D10:3Q8:24C2 = C10.572+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:24C2320,1317
D10:3Q8:25C2 = C10.582+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:25C2320,1318
D10:3Q8:26C2 = C10.262- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:26C2320,1319
D10:3Q8:27C2 = C42.137D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:27C2320,1341
D10:3Q8:28C2 = D20:10D4φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:28C2320,1348
D10:3Q8:29C2 = Dic10:10D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:29C2320,1349
D10:3Q8:30C2 = C42:20D10φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:30C2320,1350
D10:3Q8:31C2 = C42:21D10φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:31C2320,1351
D10:3Q8:32C2 = C42.234D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:32C2320,1352
D10:3Q8:33C2 = C42.144D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:33C2320,1354
D10:3Q8:34C2 = C42.145D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:34C2320,1356
D10:3Q8:35C2 = D20:12D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:35C2320,1398
D10:3Q8:36C2 = D20:8Q8φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:36C2320,1399
D10:3Q8:37C2 = D20:9Q8φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:37C2320,1402
D10:3Q8:38C2 = C42.178D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:38C2320,1405
D10:3Q8:39C2 = C42.180D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:39C2320,1407
D10:3Q8:40C2 = Q8xC5:D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:40C2320,1487
D10:3Q8:41C2 = C10.442- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:41C2320,1488
D10:3Q8:42C2 = C10.452- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:42C2320,1489
D10:3Q8:43C2 = C10.1042- 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:43C2320,1496
D10:3Q8:44C2 = C10.1452+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8:44C2320,1501
D10:3Q8:45C2 = C10.1472+ 1+4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8:45C2320,1505
D10:3Q8:46C2 = C42.131D10φ: trivial image160D10:3Q8:46C2320,1252
D10:3Q8:47C2 = (C2xC20):15D4φ: trivial image80D10:3Q8:47C2320,1500

Non-split extensions G=N.Q with N=D10:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D10:3Q8.1C2 = D10.Q16φ: C2/C1C2 ⊆ Out D10:3Q880D10:3Q8.1C2320,264
D10:3Q8.2C2 = D10.11SD16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.2C2320,432
D10:3Q8.3C2 = D10.7Q16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.3C2320,436
D10:3Q8.4C2 = D10:Q16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.4C2320,440
D10:3Q8.5C2 = (C2xC8).D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.5C2320,441
D10:3Q8.6C2 = D10:1C8.C2φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.6C2320,442
D10:3Q8.7C2 = C5:2C8.D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.7C2320,443
D10:3Q8.8C2 = D10:5Q16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.8C2320,813
D10:3Q8.9C2 = D10:3Q16φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.9C2320,815
D10:3Q8.10C2 = C40.36D4φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.10C2320,816
D10:3Q8.11C2 = C42.134D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.11C2320,1255
D10:3Q8.12C2 = C42.241D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.12C2320,1400
D10:3Q8.13C2 = C42.174D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.13C2320,1401
D10:3Q8.14C2 = C42.176D10φ: C2/C1C2 ⊆ Out D10:3Q8160D10:3Q8.14C2320,1403
D10:3Q8.15C2 = C42.232D10φ: trivial image160D10:3Q8.15C2320,1250

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