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

Direct product G=NxQ with N=Dic6:C4 and Q=C2
dρLabelID
C2xDic6: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 = (Q8xDic3):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 = C4xD4:2S3φ: trivial image96Dic6:C4:45C2192,1095
Dic6:C4:46C2 = C4xS3xQ8φ: 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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