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Extensions 1→N→G→Q→1 with N=C4⋊C4⋊7S3 and Q=C2

Direct product G=N×Q with N=C4⋊C4⋊7S3 and Q=C2
dρLabelID
C2×C4⋊C4⋊7S396C2xC4:C4:7S3192,1061

Semidirect products G=N:Q with N=C4⋊C4⋊7S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7S3⋊1C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:1C2192,329
C4⋊C4⋊7S3⋊2C2 = D4⋊2S3⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:2C2192,331
C4⋊C4⋊7S3⋊3C2 = D6⋊C8⋊11C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:3C2192,338
C4⋊C4⋊7S3⋊4C2 = C24⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:4C2192,343
C4⋊C4⋊7S3⋊5C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:5C2192,363
C4⋊C4⋊7S3⋊6C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:6C2192,425
C4⋊C4⋊7S3⋊7C2 = C2.D8⋊S3φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:7C2192,444
C4⋊C4⋊7S3⋊8C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:8C2192,1063
C4⋊C4⋊7S3⋊9C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:9C2192,1072
C4⋊C4⋊7S3⋊10C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:10C2192,1073
C4⋊C4⋊7S3⋊11C2 = C42.91D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:11C2192,1082
C4⋊C4⋊7S3⋊12C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:12C2192,1091
C4⋊C4⋊7S3⋊13C2 = C42.98D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:13C2192,1092
C4⋊C4⋊7S3⋊14C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:14C2192,1104
C4⋊C4⋊7S3⋊15C2 = C42.113D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:15C2192,1117
C4⋊C4⋊7S3⋊16C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:16C2192,1122
C4⋊C4⋊7S3⋊17C2 = C42.132D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:17C2192,1140
C4⋊C4⋊7S3⋊18C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:18C2192,1143
C4⋊C4⋊7S3⋊19C2 = C4⋊C4⋊21D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:19C2192,1165
C4⋊C4⋊7S3⋊20C2 = C6.382+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:20C2192,1166
C4⋊C4⋊7S3⋊21C2 = C6.452+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:21C2192,1175
C4⋊C4⋊7S3⋊22C2 = C6.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:22C2192,1177
C4⋊C4⋊7S3⋊23C2 = C4⋊C4.187D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:23C2192,1183
C4⋊C4⋊7S3⋊24C2 = C4⋊C4⋊26D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:24C2192,1186
C4⋊C4⋊7S3⋊25C2 = C6.162- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:25C2192,1187
C4⋊C4⋊7S3⋊26C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:26C2192,1196
C4⋊C4⋊7S3⋊27C2 = C6.212- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:27C2192,1198
C4⋊C4⋊7S3⋊28C2 = C6.222- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:28C2192,1199
C4⋊C4⋊7S3⋊29C2 = C6.232- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:29C2192,1200
C4⋊C4⋊7S3⋊30C2 = C6.772- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:30C2192,1201
C4⋊C4⋊7S3⋊31C2 = C4⋊C4.197D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:31C2192,1208
C4⋊C4⋊7S3⋊32C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:32C2192,1217
C4⋊C4⋊7S3⋊33C2 = C6.622+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:33C2192,1218
C4⋊C4⋊7S3⋊34C2 = C6.662+ 1+4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:34C2192,1222
C4⋊C4⋊7S3⋊35C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:35C2192,1250
C4⋊C4⋊7S3⋊36C2 = C42.151D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:36C2192,1252
C4⋊C4⋊7S3⋊37C2 = C42.152D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:37C2192,1253
C4⋊C4⋊7S3⋊38C2 = C42.153D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:38C2192,1254
C4⋊C4⋊7S3⋊39C2 = C42⋊26D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S348C4:C4:7S3:39C2192,1264
C4⋊C4⋊7S3⋊40C2 = C42.189D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:40C2192,1265
C4⋊C4⋊7S3⋊41C2 = C42.162D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:41C2192,1267
C4⋊C4⋊7S3⋊42C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:42C2192,1269
C4⋊C4⋊7S3⋊43C2 = C42.177D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:43C2192,1291
C4⋊C4⋊7S3⋊44C2 = C42.179D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3:44C2192,1293
C4⋊C4⋊7S3⋊45C2 = S3×C42⋊C2φ: trivial image48C4:C4:7S3:45C2192,1079
C4⋊C4⋊7S3⋊46C2 = C4×D4⋊2S3φ: trivial image96C4:C4:7S3:46C2192,1095
C4⋊C4⋊7S3⋊47C2 = C4×Q8⋊3S3φ: trivial image96C4:C4:7S3:47C2192,1132

Non-split extensions G=N.Q with N=C4⋊C4⋊7S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊C4⋊7S3.1C2 = (S3×Q8)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.1C2192,361
C4⋊C4⋊7S3.2C2 = D6⋊C8.C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.2C2192,373
C4⋊C4⋊7S3.3C2 = C8⋊Dic3⋊C2φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.3C2192,374
C4⋊C4⋊7S3.4C2 = (S3×C8)⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.4C2192,419
C4⋊C4⋊7S3.5C2 = C8⋊(C4×S3)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.5C2192,420
C4⋊C4⋊7S3.6C2 = C6.(C4○D8)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.6C2192,427
C4⋊C4⋊7S3.7C2 = C8.27(C4×S3)φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.7C2192,439
C4⋊C4⋊7S3.8C2 = C8⋊S3⋊C4φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.8C2192,440
C4⋊C4⋊7S3.9C2 = C2.D8⋊7S3φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.9C2192,447
C4⋊C4⋊7S3.10C2 = C42.125D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.10C2192,1131
C4⋊C4⋊7S3.11C2 = C42.236D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.11C2192,1247
C4⋊C4⋊7S3.12C2 = C42.148D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.12C2192,1248
C4⋊C4⋊7S3.13C2 = C42.154D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.13C2192,1255
C4⋊C4⋊7S3.14C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.14C2192,1287
C4⋊C4⋊7S3.15C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out C4⋊C4⋊7S396C4:C4:7S3.15C2192,1288

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