Extensions 1→N→G→Q→1 with N=Dic5.5D4 and Q=C2

Direct product G=N×Q with N=Dic5.5D4 and Q=C2
dρLabelID
C2×Dic5.5D4160C2xDic5.5D4320,1163

Semidirect products G=N:Q with N=Dic5.5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.5D41C2 = C24.27D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:1C2320,1162
Dic5.5D42C2 = C24.30D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:2C2320,1166
Dic5.5D43C2 = C24.31D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:3C2320,1167
Dic5.5D44C2 = C42.97D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:4C2320,1204
Dic5.5D45C2 = C42.99D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:5C2320,1206
Dic5.5D46C2 = Dic1023D4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:6C2320,1224
Dic5.5D47C2 = C4216D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:7C2320,1228
Dic5.5D48C2 = C42.114D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:8C2320,1231
Dic5.5D49C2 = C4217D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:9C2320,1232
Dic5.5D410C2 = C42.115D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:10C2320,1233
Dic5.5D411C2 = C42.117D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:11C2320,1235
Dic5.5D412C2 = C24.33D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:12C2320,1263
Dic5.5D413C2 = C24.34D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:13C2320,1264
Dic5.5D414C2 = C24.35D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:14C2320,1265
Dic5.5D415C2 = C245D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:15C2320,1266
Dic5.5D416C2 = C20⋊(C4○D4)φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:16C2320,1268
Dic5.5D417C2 = Dic1019D4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:17C2320,1270
Dic5.5D418C2 = C10.382+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:18C2320,1279
Dic5.5D419C2 = C10.402+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:19C2320,1282
Dic5.5D420C2 = C10.422+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:20C2320,1285
Dic5.5D421C2 = C10.452+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:21C2320,1288
Dic5.5D422C2 = C10.462+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:22C2320,1289
Dic5.5D423C2 = C10.742- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:23C2320,1293
Dic5.5D424C2 = C10.162- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:24C2320,1300
Dic5.5D425C2 = Dic1022D4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:25C2320,1305
Dic5.5D426C2 = C10.222- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:26C2320,1312
Dic5.5D427C2 = C10.242- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:27C2320,1315
Dic5.5D428C2 = C10.262- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:28C2320,1319
Dic5.5D429C2 = C10.792- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:29C2320,1320
Dic5.5D430C2 = C4⋊C4.197D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:30C2320,1321
Dic5.5D431C2 = C10.1212+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:31C2320,1326
Dic5.5D432C2 = C10.612+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:32C2320,1329
Dic5.5D433C2 = C10.1222+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:33C2320,1330
Dic5.5D434C2 = C10.842- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:34C2320,1334
Dic5.5D435C2 = C10.672+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:35C2320,1336
Dic5.5D436C2 = C10.692+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:36C2320,1339
Dic5.5D437C2 = C42.137D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:37C2320,1341
Dic5.5D438C2 = C42.138D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:38C2320,1342
Dic5.5D439C2 = D5×C4.4D4φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:39C2320,1345
Dic5.5D440C2 = Dic1010D4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:40C2320,1349
Dic5.5D441C2 = C42.143D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:41C2320,1353
Dic5.5D442C2 = C42.144D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:42C2320,1354
Dic5.5D443C2 = C4222D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:43C2320,1355
Dic5.5D444C2 = C4223D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:44C2320,1376
Dic5.5D445C2 = C4224D10φ: C2/C1C2 ⊆ Out Dic5.5D480Dic5.5D4:45C2320,1377
Dic5.5D446C2 = C42.189D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:46C2320,1378
Dic5.5D447C2 = C42.164D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4:47C2320,1382
Dic5.5D448C2 = C42.93D10φ: trivial image160Dic5.5D4:48C2320,1200
Dic5.5D449C2 = C42.102D10φ: trivial image160Dic5.5D4:49C2320,1210
Dic5.5D450C2 = C42.228D10φ: trivial image160Dic5.5D4:50C2320,1220

Non-split extensions G=N.Q with N=Dic5.5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.5D4.1C2 = C42.98D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4.1C2320,1205
Dic5.5D4.2C2 = C10.232- 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4.2C2320,1313
Dic5.5D4.3C2 = C10.582+ 1+4φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4.3C2320,1318
Dic5.5D4.4C2 = C42.160D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4.4C2320,1374
Dic5.5D4.5C2 = C42.165D10φ: C2/C1C2 ⊆ Out Dic5.5D4160Dic5.5D4.5C2320,1384

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