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Extensions 1→N→G→Q→1 with N=D6⋊3D4 and Q=C2

Direct product G=N×Q with N=D6⋊3D4 and Q=C2
dρLabelID
C2×D6⋊3D496C2xD6:3D4192,1359

Semidirect products G=N:Q with N=D6⋊3D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊3D4⋊1C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:1C2192,334
D6⋊3D4⋊2C2 = C3⋊C8⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:2C2192,341
D6⋊3D4⋊3C2 = D12⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:3C2192,715
D6⋊3D4⋊4C2 = D6⋊3D8φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:4C2192,716
D6⋊3D4⋊5C2 = Dic6⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:5C2192,717
D6⋊3D4⋊6C2 = C24⋊12D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:6C2192,718
D6⋊3D4⋊7C2 = D12⋊7D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:7C2192,731
D6⋊3D4⋊8C2 = D12⋊24D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:8C2192,1110
D6⋊3D4⋊9C2 = C42.113D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:9C2192,1117
D6⋊3D4⋊10C2 = C42.116D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:10C2192,1121
D6⋊3D4⋊11C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:11C2192,1122
D6⋊3D4⋊12C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:12C2192,1148
D6⋊3D4⋊13C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:13C2192,1150
D6⋊3D4⋊14C2 = C24.46D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:14C2192,1152
D6⋊3D4⋊15C2 = C24.47D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:15C2192,1154
D6⋊3D4⋊16C2 = S3×C4⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:16C2192,1163
D6⋊3D4⋊17C2 = C4⋊C4⋊21D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:17C2192,1165
D6⋊3D4⋊18C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:18C2192,1166
D6⋊3D4⋊19C2 = C6.722- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:19C2192,1167
D6⋊3D4⋊20C2 = C6.732- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:20C2192,1170
D6⋊3D4⋊21C2 = D12⋊20D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:21C2192,1171
D6⋊3D4⋊22C2 = C6.422+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:22C2192,1172
D6⋊3D4⋊23C2 = C6.432+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:23C2192,1173
D6⋊3D4⋊24C2 = C6.442+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:24C2192,1174
D6⋊3D4⋊25C2 = C6.452+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:25C2192,1175
D6⋊3D4⋊26C2 = C6.1152+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:26C2192,1177
D6⋊3D4⋊27C2 = C6.472+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:27C2192,1178
D6⋊3D4⋊28C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:28C2192,1179
D6⋊3D4⋊29C2 = C6.492+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:29C2192,1180
D6⋊3D4⋊30C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:30C2192,1216
D6⋊3D4⋊31C2 = C6.642+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:31C2192,1220
D6⋊3D4⋊32C2 = C6.692+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:32C2192,1226
D6⋊3D4⋊33C2 = D12⋊10D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:33C2192,1235
D6⋊3D4⋊34C2 = Dic6⋊10D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:34C2192,1236
D6⋊3D4⋊35C2 = C42.238D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:35C2192,1275
D6⋊3D4⋊36C2 = D12⋊11D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:36C2192,1276
D6⋊3D4⋊37C2 = Dic6⋊11D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:37C2192,1277
D6⋊3D4⋊38C2 = C42.168D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:38C2192,1278
D6⋊3D4⋊39C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:39C2192,1360
D6⋊3D4⋊40C2 = C24.52D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:40C2192,1364
D6⋊3D4⋊41C2 = C24.53D6φ: C2/C1 → C2 ⊆ Out D6⋊3D448D6:3D4:41C2192,1365
D6⋊3D4⋊42C2 = C6.1072- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:42C2192,1390
D6⋊3D4⋊43C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:43C2192,1392
D6⋊3D4⋊44C2 = C6.1482+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4:44C2192,1393
D6⋊3D4⋊45C2 = C42.228D6φ: trivial image96D6:3D4:45C2192,1107
D6⋊3D4⋊46C2 = (C2×D4)⋊43D6φ: trivial image48D6:3D4:46C2192,1387

Non-split extensions G=N.Q with N=D6⋊3D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊3D4.1C2 = D6.D8φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.1C2192,333
D6⋊3D4.2C2 = D6.SD16φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.2C2192,336
D6⋊3D4.3C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.3C2192,337
D6⋊3D4.4C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.4C2192,338
D6⋊3D4.5C2 = C3⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.5C2192,339
D6⋊3D4.6C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.6C2192,343
D6⋊3D4.7C2 = D6⋊8SD16φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.7C2192,729
D6⋊3D4.8C2 = C24⋊14D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.8C2192,730
D6⋊3D4.9C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.9C2192,733
D6⋊3D4.10C2 = C42.115D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.10C2192,1120
D6⋊3D4.11C2 = C6.632+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.11C2192,1219
D6⋊3D4.12C2 = C42.234D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.12C2192,1239
D6⋊3D4.13C2 = C42.144D6φ: C2/C1 → C2 ⊆ Out D6⋊3D496D6:3D4.13C2192,1241
D6⋊3D4.14C2 = C42.229D6φ: trivial image96D6:3D4.14C2192,1116

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