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Extensions 1→N→G→Q→1 with N=C42:7S3 and Q=C2

Direct product G=NxQ with N=C42:7S3 and Q=C2
dρLabelID
C2xC42:7S396C2xC4^2:7S3192,1035

Semidirect products G=N:Q with N=C42:7S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C42:7S3:1C2 = C8.8D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:1C2192,255
C42:7S3:2C2 = C8:D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:2C2192,271
C42:7S3:3C2 = C42:11D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:3C2192,1084
C42:7S3:4C2 = C42.92D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:4C2192,1085
C42:7S3:5C2 = C42.99D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:5C2192,1093
C42:7S3:6C2 = C42:12D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:6C2192,1086
C42:7S3:7C2 = C42.97D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:7C2192,1091
C42:7S3:8C2 = C42:25D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:8C2192,1263
C42:7S3:9C2 = C42.164D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:9C2192,1269
C42:7S3:10C2 = C42:5D6φ: C2/C1 → C2 ⊆ Out C42:7S3484C4^2:7S3:10C2192,384
C42:7S3:11C2 = D4.10D12φ: C2/C1 → C2 ⊆ Out C42:7S3484C4^2:7S3:11C2192,386
C42:7S3:12C2 = D12.19D4φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:12C2192,403
C42:7S3:13C2 = D4.1D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:13C2192,575
C42:7S3:14C2 = C42.214D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:14C2192,618
C42:7S3:15C2 = C42.74D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:15C2192,633
C42:7S3:16C2 = D12:23D4φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:16C2192,1109
C42:7S3:17C2 = Dic6:23D4φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:17C2192,1111
C42:7S3:18C2 = D4:5D12φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:18C2192,1113
C42:7S3:19C2 = C42.114D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:19C2192,1118
C42:7S3:20C2 = Q8:6D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:20C2192,1135
C42:7S3:21C2 = C42.136D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:21C2192,1144
C42:7S3:22C2 = C42.233D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:22C2192,1227
C42:7S3:23C2 = S3xC4.4D4φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:23C2192,1232
C42:7S3:24C2 = C42.237D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:24C2192,1250
C42:7S3:25C2 = C42:28D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:25C2192,1274
C42:7S3:26C2 = C42.171D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:26C2192,1283
C42:7S3:27C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:27C2192,1292
C42:7S3:28C2 = C42:19D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:28C2192,1119
C42:7S3:29C2 = C42.133D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:29C2192,1141
C42:7S3:30C2 = C42:24D6φ: C2/C1 → C2 ⊆ Out C42:7S348C4^2:7S3:30C2192,1242
C42:7S3:31C2 = C42.145D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:31C2192,1243
C42:7S3:32C2 = C42.158D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3:32C2192,1259
C42:7S3:33C2 = C42.276D6φ: trivial image96C4^2:7S3:33C2192,1036
C42:7S3:34C2 = C42.277D6φ: trivial image96C4^2:7S3:34C2192,1038

Non-split extensions G=N.Q with N=C42:7S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C42:7S3.1C2 = C42.264D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.1C2192,256
C42:7S3.2C2 = C42.20D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.2C2192,273
C42:7S3.3C2 = C8.D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.3C2192,274
C42:7S3.4C2 = C42.D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.4C2192,23
C42:7S3.5C2 = C42.36D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.5C2192,404
C42:7S3.6C2 = Q8.6D12φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.6C2192,587
C42:7S3.7C2 = C42.216D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.7C2192,627
C42:7S3.8C2 = C42.80D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.8C2192,645
C42:7S3.9C2 = C42.82D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.9C2192,648
C42:7S3.10C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.10C2192,1127
C42:7S3.11C2 = C42.135D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.11C2192,1143
C42:7S3.12C2 = C42.157D6φ: C2/C1 → C2 ⊆ Out C42:7S396C4^2:7S3.12C2192,1258

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