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Extensions 1→N→G→Q→1 with N=C4.Dic10 and Q=C2

Direct product G=N×Q with N=C4.Dic10 and Q=C2
dρLabelID
C2×C4.Dic10320C2xC4.Dic10320,1171

Semidirect products G=N:Q with N=C4.Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic10⋊1C2 = D4.Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:1C2320,390
C4.Dic10⋊2C2 = C4⋊C4.D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:2C2320,391
C4.Dic10⋊3C2 = D4.2Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:3C2320,393
C4.Dic10⋊4C2 = (C8×Dic5)⋊C2φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:4C2320,395
C4.Dic10⋊5C2 = Q8⋊Dic5⋊C2φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:5C2320,427
C4.Dic10⋊6C2 = D20.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:6C2320,498
C4.Dic10⋊7C2 = D20.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:7C2320,518
C4.Dic10⋊8C2 = C10.12- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:8C2320,1172
C4.Dic10⋊9C2 = C10.52- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:9C2320,1185
C4.Dic10⋊10C2 = C10.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:10C2320,1186
C4.Dic10⋊11C2 = C42.90D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:11C2320,1191
C4.Dic10⋊12C2 = C42.94D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:12C2320,1201
C4.Dic10⋊13C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:13C2320,1202
C4.Dic10⋊14C2 = D4⋊5Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:14C2320,1211
C4.Dic10⋊15C2 = D4⋊6Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:15C2320,1215
C4.Dic10⋊16C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:16C2320,1234
C4.Dic10⋊17C2 = C42.134D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:17C2320,1255
C4.Dic10⋊18C2 = C4⋊C4.178D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:18C2320,1272
C4.Dic10⋊19C2 = C10.432+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:19C2320,1286
C4.Dic10⋊20C2 = C10.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:20C2320,1290
C4.Dic10⋊21C2 = C10.472+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:21C2320,1291
C4.Dic10⋊22C2 = C22⋊Q8⋊25D5φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:22C2320,1296
C4.Dic10⋊23C2 = C10.152- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:23C2320,1297
C4.Dic10⋊24C2 = C10.212- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:24C2320,1311
C4.Dic10⋊25C2 = C10.772- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:25C2320,1314
C4.Dic10⋊26C2 = C10.572+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:26C2320,1317
C4.Dic10⋊27C2 = C10.582+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:27C2320,1318
C4.Dic10⋊28C2 = C10.802- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:28C2320,1322
C4.Dic10⋊29C2 = C10.632+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:29C2320,1332
C4.Dic10⋊30C2 = C10.852- 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:30C2320,1337
C4.Dic10⋊31C2 = C10.692+ 1+4φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:31C2320,1339
C4.Dic10⋊32C2 = D5×C42.C2φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:32C2320,1359
C4.Dic10⋊33C2 = C42.148D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:33C2320,1361
C4.Dic10⋊34C2 = D20⋊7Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:34C2320,1362
C4.Dic10⋊35C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:35C2320,1366
C4.Dic10⋊36C2 = C42.154D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:36C2320,1368
C4.Dic10⋊37C2 = C42.155D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:37C2320,1369
C4.Dic10⋊38C2 = C42.159D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:38C2320,1373
C4.Dic10⋊39C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:39C2320,1379
C4.Dic10⋊40C2 = C42.162D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:40C2320,1380
C4.Dic10⋊41C2 = C42.165D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:41C2320,1384
C4.Dic10⋊42C2 = C42.241D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:42C2320,1400
C4.Dic10⋊43C2 = C42.174D10φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:43C2320,1401
C4.Dic10⋊44C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10160C4.Dic10:44C2320,1402
C4.Dic10⋊45C2 = C42.88D10φ: trivial image160C4.Dic10:45C2320,1189
C4.Dic10⋊46C2 = C42.229D10φ: trivial image160C4.Dic10:46C2320,1229
C4.Dic10⋊47C2 = C42.131D10φ: trivial image160C4.Dic10:47C2320,1252

Non-split extensions G=N.Q with N=C4.Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic10.1C2 = C10.C4≀C2φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.1C2320,208
C4.Dic10.2C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.2C2320,423
C4.Dic10.3C2 = C40⋊8C4.C2φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.3C2320,424
C4.Dic10.4C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.4C2320,426
C4.Dic10.5C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.5C2320,483
C4.Dic10.6C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.6C2320,484
C4.Dic10.7C2 = C8.8Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.7C2320,485
C4.Dic10.8C2 = C40⋊4Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.8C2320,503
C4.Dic10.9C2 = Dic10.2Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.9C2320,504
C4.Dic10.10C2 = C8.6Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.10C2320,505
C4.Dic10.11C2 = Q8⋊5Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.11C2320,1241
C4.Dic10.12C2 = Q8⋊6Dic10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.12C2320,1242
C4.Dic10.13C2 = Dic10⋊7Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.13C2320,1357
C4.Dic10.14C2 = C42.147D10φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.14C2320,1358
C4.Dic10.15C2 = Dic10⋊8Q8φ: C2/C1 → C2 ⊆ Out C4.Dic10320C4.Dic10.15C2320,1393

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