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Extensions 1→N→G→Q→1 with N=Dic3⋊5D4 and Q=C2

Direct product G=N×Q with N=Dic3⋊5D4 and Q=C2
dρLabelID
C2×Dic3⋊5D496C2xDic3:5D4192,1062

Semidirect products G=N:Q with N=Dic3⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3⋊5D4⋊1C2 = Dic3⋊4D8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:1C2192,315
Dic3⋊5D4⋊2C2 = D4⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:2C2192,344
Dic3⋊5D4⋊3C2 = D12⋊3D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:3C2192,345
Dic3⋊5D4⋊4C2 = D12.D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:4C2192,346
Dic3⋊5D4⋊5C2 = D12.12D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:5C2192,378
Dic3⋊5D4⋊6C2 = D24⋊9C4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:6C2192,428
Dic3⋊5D4⋊7C2 = Dic3⋊5D8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:7C2192,431
Dic3⋊5D4⋊8C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:8C2192,1063
Dic3⋊5D4⋊9C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:9C2192,1066
Dic3⋊5D4⋊10C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:10C2192,1073
Dic3⋊5D4⋊11C2 = C42⋊9D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:11C2192,1080
Dic3⋊5D4⋊12C2 = C42.95D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:12C2192,1089
Dic3⋊5D4⋊13C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:13C2192,1091
Dic3⋊5D4⋊14C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:14C2192,1104
Dic3⋊5D4⋊15C2 = Dic6⋊24D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:15C2192,1112
Dic3⋊5D4⋊16C2 = C42.114D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:16C2192,1118
Dic3⋊5D4⋊17C2 = C42.126D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:17C2192,1133
Dic3⋊5D4⋊18C2 = C42.136D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:18C2192,1144
Dic3⋊5D4⋊19C2 = C12⋊(C4○D4)φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:19C2192,1155
Dic3⋊5D4⋊20C2 = D12⋊19D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:20C2192,1168
Dic3⋊5D4⋊21C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:21C2192,1171
Dic3⋊5D4⋊22C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:22C2192,1178
Dic3⋊5D4⋊23C2 = C4⋊C4.187D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:23C2192,1183
Dic3⋊5D4⋊24C2 = C4⋊C4⋊26D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:24C2192,1186
Dic3⋊5D4⋊25C2 = D12⋊21D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:25C2192,1189
Dic3⋊5D4⋊26C2 = D12⋊22D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:26C2192,1190
Dic3⋊5D4⋊27C2 = Dic6⋊22D4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:27C2192,1192
Dic3⋊5D4⋊28C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:28C2192,1196
Dic3⋊5D4⋊29C2 = C6.202- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:29C2192,1197
Dic3⋊5D4⋊30C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:30C2192,1202
Dic3⋊5D4⋊31C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:31C2192,1213
Dic3⋊5D4⋊32C2 = C4⋊C4⋊28D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:32C2192,1215
Dic3⋊5D4⋊33C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:33C2192,1216
Dic3⋊5D4⋊34C2 = C6.642+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:34C2192,1220
Dic3⋊5D4⋊35C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:35C2192,1250
Dic3⋊5D4⋊36C2 = C42.150D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:36C2192,1251
Dic3⋊5D4⋊37C2 = C42.153D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:37C2192,1254
Dic3⋊5D4⋊38C2 = C42.155D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:38C2192,1256
Dic3⋊5D4⋊39C2 = C42⋊25D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:39C2192,1263
Dic3⋊5D4⋊40C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D448Dic3:5D4:40C2192,1264
Dic3⋊5D4⋊41C2 = C42.189D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:41C2192,1265
Dic3⋊5D4⋊42C2 = C42.163D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:42C2192,1268
Dic3⋊5D4⋊43C2 = C42.240D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:43C2192,1284
Dic3⋊5D4⋊44C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4:44C2192,1292
Dic3⋊5D4⋊45C2 = C42.188D6φ: trivial image96Dic3:5D4:45C2192,1081
Dic3⋊5D4⋊46C2 = C4×S3×D4φ: trivial image48Dic3:5D4:46C2192,1103
Dic3⋊5D4⋊47C2 = C4×Q8⋊3S3φ: trivial image96Dic3:5D4:47C2192,1132

Non-split extensions G=N.Q with N=Dic3⋊5D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3⋊5D4.1C2 = Dic3⋊7SD16φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.1C2192,347
Dic3⋊5D4.2C2 = Q8⋊3(C4×S3)φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.2C2192,376
Dic3⋊5D4.3C2 = Dic3⋊SD16φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.3C2192,377
Dic3⋊5D4.4C2 = Dic3⋊8SD16φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.4C2192,411
Dic3⋊5D4.5C2 = D12⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.5C2192,429
Dic3⋊5D4.6C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.6C2192,430
Dic3⋊5D4.7C2 = C24⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.7C2192,448
Dic3⋊5D4.8C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.8C2192,449
Dic3⋊5D4.9C2 = D12.2Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.9C2192,450
Dic3⋊5D4.10C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.10C2192,1127
Dic3⋊5D4.11C2 = D12⋊7Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.11C2192,1249
Dic3⋊5D4.12C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.12C2192,1252
Dic3⋊5D4.13C2 = D12⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.13C2192,1286
Dic3⋊5D4.14C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊5D496Dic3:5D4.14C2192,1289

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