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Extensions 1→N→G→Q→1 with N=C4⋊C4⋊S3 and Q=C2

Direct product G=N×Q with N=C4⋊C4⋊S3 and Q=C2
dρLabelID
C2×C4⋊C4⋊S396C2xC4:C4:S3192,1071

Semidirect products G=N:Q with N=C4⋊C4⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊S3⋊1C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:1C2192,1072
C4⋊C4⋊S3⋊2C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:2C2192,1073
C4⋊C4⋊S3⋊3C2 = C6.62- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:3C2192,1074
C4⋊C4⋊S3⋊4C2 = C42⋊12D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:4C2192,1086
C4⋊C4⋊S3⋊5C2 = C42.96D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:5C2192,1090
C4⋊C4⋊S3⋊6C2 = C42.99D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:6C2192,1093
C4⋊C4⋊S3⋊7C2 = C42⋊18D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:7C2192,1115
C4⋊C4⋊S3⋊8C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:8C2192,1119
C4⋊C4⋊S3⋊9C2 = C42.119D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:9C2192,1124
C4⋊C4⋊S3⋊10C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:10C2192,1127
C4⋊C4⋊S3⋊11C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:11C2192,1143
C4⋊C4⋊S3⋊12C2 = C6.342+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:12C2192,1160
C4⋊C4⋊S3⋊13C2 = C6.422+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:13C2192,1172
C4⋊C4⋊S3⋊14C2 = C6.462+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:14C2192,1176
C4⋊C4⋊S3⋊15C2 = C6.482+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:15C2192,1179
C4⋊C4⋊S3⋊16C2 = C4⋊C4.187D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:16C2192,1183
C4⋊C4⋊S3⋊17C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:17C2192,1196
C4⋊C4⋊S3⋊18C2 = C6.202- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:18C2192,1197
C4⋊C4⋊S3⋊19C2 = C6.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:19C2192,1199
C4⋊C4⋊S3⋊20C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:20C2192,1200
C4⋊C4⋊S3⋊21C2 = C6.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:21C2192,1201
C4⋊C4⋊S3⋊22C2 = C6.242- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:22C2192,1202
C4⋊C4⋊S3⋊23C2 = C6.562+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:23C2192,1203
C4⋊C4⋊S3⋊24C2 = C6.782- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:24C2192,1204
C4⋊C4⋊S3⋊25C2 = C6.252- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:25C2192,1205
C4⋊C4⋊S3⋊26C2 = C4⋊C4.197D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:26C2192,1208
C4⋊C4⋊S3⋊27C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:27C2192,1216
C4⋊C4⋊S3⋊28C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:28C2192,1217
C4⋊C4⋊S3⋊29C2 = C6.642+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:29C2192,1220
C4⋊C4⋊S3⋊30C2 = C6.652+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:30C2192,1221
C4⋊C4⋊S3⋊31C2 = C6.852- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:31C2192,1224
C4⋊C4⋊S3⋊32C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:32C2192,1225
C4⋊C4⋊S3⋊33C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:33C2192,1250
C4⋊C4⋊S3⋊34C2 = C42.150D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:34C2192,1251
C4⋊C4⋊S3⋊35C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:35C2192,1252
C4⋊C4⋊S3⋊36C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:36C2192,1253
C4⋊C4⋊S3⋊37C2 = C42.153D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:37C2192,1254
C4⋊C4⋊S3⋊38C2 = C42.157D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:38C2192,1258
C4⋊C4⋊S3⋊39C2 = C42.160D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:39C2192,1261
C4⋊C4⋊S3⋊40C2 = S3×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:40C2192,1262
C4⋊C4⋊S3⋊41C2 = C42⋊25D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S348C4:C4:S3:41C2192,1263
C4⋊C4⋊S3⋊42C2 = C42.161D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:42C2192,1266
C4⋊C4⋊S3⋊43C2 = C42.163D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:43C2192,1268
C4⋊C4⋊S3⋊44C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:44C2192,1269
C4⋊C4⋊S3⋊45C2 = C42.165D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:45C2192,1271
C4⋊C4⋊S3⋊46C2 = C42.177D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:46C2192,1291
C4⋊C4⋊S3⋊47C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:47C2192,1292
C4⋊C4⋊S3⋊48C2 = C42.180D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3:48C2192,1294
C4⋊C4⋊S3⋊49C2 = C42.93D6φ: trivial image96C4:C4:S3:49C2192,1087
C4⋊C4⋊S3⋊50C2 = C42.102D6φ: trivial image96C4:C4:S3:50C2192,1097
C4⋊C4⋊S3⋊51C2 = C42.131D6φ: trivial image96C4:C4:S3:51C2192,1139

Non-split extensions G=N.Q with N=C4⋊C4⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊S3.1C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3.1C2192,1142
C4⋊C4⋊S3.2C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3.2C2192,1255
C4⋊C4⋊S3.3C2 = C42.156D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3.3C2192,1257
C4⋊C4⋊S3.4C2 = C42.176D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊S396C4:C4:S3.4C2192,1290

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