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Extensions 1→N→G→Q→1 with N=D6⋊3Q8 and Q=C2

Direct product G=N×Q with N=D6⋊3Q8 and Q=C2
dρLabelID
C2×D6⋊3Q896C2xD6:3Q8192,1372

Semidirect products G=N:Q with N=D6⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊3Q8⋊1C2 = D6⋊2SD16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:1C2192,366
D6⋊3Q8⋊2C2 = C3⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:2C2192,371
D6⋊3Q8⋊3C2 = D6⋊6SD16φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:3C2192,728
D6⋊3Q8⋊4C2 = C24⋊14D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:4C2192,730
D6⋊3Q8⋊5C2 = Dic6.16D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:5C2192,732
D6⋊3Q8⋊6C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:6C2192,733
D6⋊3Q8⋊7C2 = D12.17D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:7C2192,746
D6⋊3Q8⋊8C2 = D12⋊10Q8φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:8C2192,1138
D6⋊3Q8⋊9C2 = C42.132D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:9C2192,1140
D6⋊3Q8⋊10C2 = C42.133D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:10C2192,1141
D6⋊3Q8⋊11C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:11C2192,1143
D6⋊3Q8⋊12C2 = S3×C22⋊Q8φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:12C2192,1185
D6⋊3Q8⋊13C2 = C4⋊C4⋊26D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:13C2192,1186
D6⋊3Q8⋊14C2 = C6.162- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:14C2192,1187
D6⋊3Q8⋊15C2 = C6.172- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:15C2192,1188
D6⋊3Q8⋊16C2 = C6.512+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:16C2192,1193
D6⋊3Q8⋊17C2 = C6.1182+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:17C2192,1194
D6⋊3Q8⋊18C2 = C6.522+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:18C2192,1195
D6⋊3Q8⋊19C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:19C2192,1196
D6⋊3Q8⋊20C2 = C6.202- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:20C2192,1197
D6⋊3Q8⋊21C2 = C6.212- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:21C2192,1198
D6⋊3Q8⋊22C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:22C2192,1200
D6⋊3Q8⋊23C2 = C6.772- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:23C2192,1201
D6⋊3Q8⋊24C2 = C6.782- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:24C2192,1204
D6⋊3Q8⋊25C2 = C6.252- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:25C2192,1205
D6⋊3Q8⋊26C2 = C6.592+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:26C2192,1206
D6⋊3Q8⋊27C2 = C42.137D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:27C2192,1228
D6⋊3Q8⋊28C2 = D12⋊10D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:28C2192,1235
D6⋊3Q8⋊29C2 = Dic6⋊10D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:29C2192,1236
D6⋊3Q8⋊30C2 = C42⋊22D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:30C2192,1237
D6⋊3Q8⋊31C2 = C42⋊23D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:31C2192,1238
D6⋊3Q8⋊32C2 = C42.234D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:32C2192,1239
D6⋊3Q8⋊33C2 = C42.144D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:33C2192,1241
D6⋊3Q8⋊34C2 = C42.145D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:34C2192,1243
D6⋊3Q8⋊35C2 = D12⋊12D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:35C2192,1285
D6⋊3Q8⋊36C2 = D12⋊8Q8φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:36C2192,1286
D6⋊3Q8⋊37C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:37C2192,1289
D6⋊3Q8⋊38C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:38C2192,1292
D6⋊3Q8⋊39C2 = C42.180D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:39C2192,1294
D6⋊3Q8⋊40C2 = Q8×C3⋊D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:40C2192,1374
D6⋊3Q8⋊41C2 = C6.442- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:41C2192,1375
D6⋊3Q8⋊42C2 = C6.452- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:42C2192,1376
D6⋊3Q8⋊43C2 = C6.1042- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:43C2192,1383
D6⋊3Q8⋊44C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q848D6:3Q8:44C2192,1388
D6⋊3Q8⋊45C2 = C6.1082- 1+4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8:45C2192,1392
D6⋊3Q8⋊46C2 = C42.131D6φ: trivial image96D6:3Q8:46C2192,1139
D6⋊3Q8⋊47C2 = (C2×D4)⋊43D6φ: trivial image48D6:3Q8:47C2192,1387

Non-split extensions G=N.Q with N=D6⋊3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D6⋊3Q8.1C2 = D6.1SD16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.1C2192,364
D6⋊3Q8.2C2 = D6.Q16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.2C2192,370
D6⋊3Q8.3C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.3C2192,372
D6⋊3Q8.4C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.4C2192,373
D6⋊3Q8.5C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.5C2192,374
D6⋊3Q8.6C2 = C3⋊C8.D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.6C2192,375
D6⋊3Q8.7C2 = D6⋊5Q16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.7C2192,745
D6⋊3Q8.8C2 = D6⋊3Q16φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.8C2192,747
D6⋊3Q8.9C2 = C24.36D4φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.9C2192,748
D6⋊3Q8.10C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.10C2192,1142
D6⋊3Q8.11C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.11C2192,1287
D6⋊3Q8.12C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.12C2192,1288
D6⋊3Q8.13C2 = C42.176D6φ: C2/C1 → C2 ⊆ Out D6⋊3Q896D6:3Q8.13C2192,1290
D6⋊3Q8.14C2 = C42.232D6φ: trivial image96D6:3Q8.14C2192,1137

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