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Extensions 1→N→G→Q→1 with N=Dic6⋊C4 and Q=C2

Direct product G=N×Q with N=Dic6⋊C4 and Q=C2
dρLabelID
C2×Dic6⋊C4192C2xDic6:C4192,1055

Semidirect products G=N:Q with N=Dic6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic6⋊C4⋊1C2 = D4.S3⋊C4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:1C2192,316
Dic6⋊C4⋊2C2 = Dic3⋊6SD16φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:2C2192,317
Dic6⋊C4⋊3C2 = Dic6⋊2D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:3C2192,321
Dic6⋊C4⋊4C2 = Dic6.D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:4C2192,326
Dic6⋊C4⋊5C2 = Dic6.11D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:5C2192,357
Dic6⋊C4⋊6C2 = Dic3⋊8SD16φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:6C2192,411
Dic6⋊C4⋊7C2 = C24⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:7C2192,448
Dic6⋊C4⋊8C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:8C2192,1063
Dic6⋊C4⋊9C2 = C6.102+ 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:9C2192,1070
Dic6⋊C4⋊10C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:10C2192,1072
Dic6⋊C4⋊11C2 = C42.87D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:11C2192,1075
Dic6⋊C4⋊12C2 = C42.94D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:12C2192,1088
Dic6⋊C4⋊13C2 = C42.98D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:13C2192,1092
Dic6⋊C4⋊14C2 = C42.106D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:14C2192,1101
Dic6⋊C4⋊15C2 = C42.108D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:15C2192,1105
Dic6⋊C4⋊16C2 = C42.114D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:16C2192,1118
Dic6⋊C4⋊17C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:17C2192,1127
Dic6⋊C4⋊18C2 = C42.125D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:18C2192,1131
Dic6⋊C4⋊19C2 = Dic6⋊19D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:19C2192,1157
Dic6⋊C4⋊20C2 = Dic6⋊20D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:20C2192,1158
Dic6⋊C4⋊21C2 = C4⋊C4.178D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:21C2192,1159
Dic6⋊C4⋊22C2 = C6.712- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:22C2192,1162
Dic6⋊C4⋊23C2 = (Q8×Dic3)⋊C2φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:23C2192,1181
Dic6⋊C4⋊24C2 = C6.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:24C2192,1184
Dic6⋊C4⋊25C2 = Dic6⋊21D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:25C2192,1191
Dic6⋊C4⋊26C2 = Dic6⋊22D4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:26C2192,1192
Dic6⋊C4⋊27C2 = C6.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:27C2192,1195
Dic6⋊C4⋊28C2 = C6.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:28C2192,1199
Dic6⋊C4⋊29C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:29C2192,1200
Dic6⋊C4⋊30C2 = C4⋊C4.197D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:30C2192,1208
Dic6⋊C4⋊31C2 = C6.802- 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:31C2192,1209
Dic6⋊C4⋊32C2 = C6.652+ 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:32C2192,1221
Dic6⋊C4⋊33C2 = C6.672+ 1+4φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:33C2192,1223
Dic6⋊C4⋊34C2 = C42.236D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:34C2192,1247
Dic6⋊C4⋊35C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:35C2192,1250
Dic6⋊C4⋊36C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:36C2192,1252
Dic6⋊C4⋊37C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:37C2192,1255
Dic6⋊C4⋊38C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:38C2192,1257
Dic6⋊C4⋊39C2 = C42.159D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:39C2192,1260
Dic6⋊C4⋊40C2 = C42.160D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:40C2192,1261
Dic6⋊C4⋊41C2 = C42.189D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:41C2192,1265
Dic6⋊C4⋊42C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:42C2192,1287
Dic6⋊C4⋊43C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out Dic6⋊C496Dic6:C4:43C2192,1292
Dic6⋊C4⋊44C2 = C42.188D6φ: trivial image96Dic6:C4:44C2192,1081
Dic6⋊C4⋊45C2 = C4×D4⋊2S3φ: trivial image96Dic6:C4:45C2192,1095
Dic6⋊C4⋊46C2 = C4×S3×Q8φ: trivial image96Dic6:C4:46C2192,1130

Non-split extensions G=N.Q with N=Dic6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic6⋊C4.1C2 = C3⋊Q16⋊C4φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.1C2192,348
Dic6⋊C4.2C2 = Dic3⋊4Q16φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.2C2192,349
Dic6⋊C4.3C2 = Dic3⋊Q16φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.3C2192,354
Dic6⋊C4.4C2 = Dic12⋊9C4φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.4C2192,412
Dic6⋊C4.5C2 = Dic6⋊Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.5C2192,413
Dic6⋊C4.6C2 = Dic6.Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.6C2192,416
Dic6⋊C4.7C2 = Dic3⋊5Q16φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.7C2192,432
Dic6⋊C4.8C2 = Dic3.Q16φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.8C2192,434
Dic6⋊C4.9C2 = Dic6.2Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.9C2192,436
Dic6⋊C4.10C2 = Dic6⋊10Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.10C2192,1126
Dic6⋊C4.11C2 = Dic6⋊7Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.11C2192,1244
Dic6⋊C4.12C2 = Dic6⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.12C2192,1280
Dic6⋊C4.13C2 = Dic6⋊9Q8φ: C2/C1 → C2 ⊆ Out Dic6⋊C4192Dic6:C4.13C2192,1281

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