Extensions 1→N→G→Q→1 with N=Dic54D4 and Q=C2

Direct product G=N×Q with N=Dic54D4 and Q=C2
dρLabelID
C2×Dic54D4160C2xDic5:4D4320,1157

Semidirect products G=N:Q with N=Dic54D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic54D41C2 = C24.56D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:1C2320,1258
Dic54D42C2 = C244D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:2C2320,1262
Dic54D43C2 = C24.33D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:3C2320,1263
Dic54D44C2 = C24.35D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:4C2320,1265
Dic54D45C2 = C20⋊(C4○D4)φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:5C2320,1268
Dic54D46C2 = Dic1020D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:6C2320,1271
Dic54D47C2 = C10.342+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:7C2320,1273
Dic54D48C2 = C4⋊C421D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:8C2320,1278
Dic54D49C2 = C10.402+ 1+4φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:9C2320,1282
Dic54D410C2 = C10.422+ 1+4φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:10C2320,1285
Dic54D411C2 = C10.432+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:11C2320,1286
Dic54D412C2 = C10.442+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:12C2320,1287
Dic54D413C2 = C22⋊Q825D5φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:13C2320,1296
Dic54D414C2 = C4⋊C426D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:14C2320,1299
Dic54D415C2 = C10.562+ 1+4φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:15C2320,1316
Dic54D416C2 = C10.572+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:16C2320,1317
Dic54D417C2 = C4⋊C4.197D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:17C2320,1321
Dic54D418C2 = C10.1212+ 1+4φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:18C2320,1326
Dic54D419C2 = C10.822- 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:19C2320,1327
Dic54D420C2 = C4⋊C428D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:20C2320,1328
Dic54D421C2 = C10.1222+ 1+4φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:21C2320,1330
Dic54D422C2 = C10.632+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:22C2320,1332
Dic54D423C2 = C10.642+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:23C2320,1333
Dic54D424C2 = C10.662+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:24C2320,1335
Dic54D425C2 = C10.672+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:25C2320,1336
Dic54D426C2 = C10.852- 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:26C2320,1337
Dic54D427C2 = C42.233D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:27C2320,1340
Dic54D428C2 = C42.137D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:28C2320,1341
Dic54D429C2 = C42.138D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:29C2320,1342
Dic54D430C2 = Dic1010D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:30C2320,1349
Dic54D431C2 = C4220D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:31C2320,1350
Dic54D432C2 = C4221D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:32C2320,1351
Dic54D433C2 = C42.234D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:33C2320,1352
Dic54D434C2 = C42.143D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:34C2320,1353
Dic54D435C2 = C42.189D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:35C2320,1378
Dic54D436C2 = C42.161D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:36C2320,1379
Dic54D437C2 = C42.163D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:37C2320,1381
Dic54D438C2 = C42.164D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:38C2320,1382
Dic54D439C2 = C24.24D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:39C2320,1158
Dic54D440C2 = C24.27D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:40C2320,1162
Dic54D441C2 = C24.31D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:41C2320,1167
Dic54D442C2 = C42.91D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:42C2320,1195
Dic54D443C2 = C4210D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:43C2320,1199
Dic54D444C2 = C42.104D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:44C2320,1212
Dic54D445C2 = C4211D10φ: C2/C1C2 ⊆ Out Dic54D480Dic5:4D4:45C2320,1217
Dic54D446C2 = C42.108D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:46C2320,1218
Dic54D447C2 = Dic1023D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:47C2320,1224
Dic54D448C2 = C42.119D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4:48C2320,1237
Dic54D449C2 = C42.188D10φ: trivial image160Dic5:4D4:49C2320,1194
Dic54D450C2 = C4×D42D5φ: trivial image160Dic5:4D4:50C2320,1208
Dic54D451C2 = C4×D4×D5φ: trivial image80Dic5:4D4:51C2320,1216

Non-split extensions G=N.Q with N=Dic54D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic54D4.1C2 = Dic1021D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.1C2320,1304
Dic54D4.2C2 = C10.1182+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.2C2320,1307
Dic54D4.3C2 = C10.522+ 1+4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.3C2320,1308
Dic54D4.4C2 = C42.160D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.4C2320,1374
Dic54D4.5C2 = C42.162D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.5C2320,1380
Dic54D4.6C2 = C42.96D10φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.6C2320,1203
Dic54D4.7C2 = C5⋊C8⋊D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.7C2320,1031
Dic54D4.8C2 = D10⋊M4(2)φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.8C2320,1032
Dic54D4.9C2 = Dic5⋊M4(2)φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.9C2320,1033
Dic54D4.10C2 = C5⋊C88D4φ: C2/C1C2 ⊆ Out Dic54D4160Dic5:4D4.10C2320,1030

׿
×
𝔽