Extensions 1→N→G→Q→1 with N=C12.6Q8 and Q=C2

Direct product G=NxQ with N=C12.6Q8 and Q=C2
dρLabelID
C2xC12.6Q8192C2xC12.6Q8192,1028

Semidirect products G=N:Q with N=C12.6Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.6Q8:1C2 = C42.264D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:1C2192,256
C12.6Q8:2C2 = C42.19D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:2C2192,272
C12.6Q8:3C2 = C42.89D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:3C2192,1077
C12.6Q8:4C2 = C42.90D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:4C2192,1078
C12.6Q8:5C2 = C42.100D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:5C2192,1094
C12.6Q8:6C2 = C42.94D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:6C2192,1088
C12.6Q8:7C2 = C42.96D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:7C2192,1090
C12.6Q8:8C2 = C42.159D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:8C2192,1260
C12.6Q8:9C2 = C42.161D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:9C2192,1266
C12.6Q8:10C2 = D12.3Q8φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:10C2192,406
C12.6Q8:11C2 = D4.3Dic6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:11C2192,568
C12.6Q8:12C2 = C42.213D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:12C2192,615
C12.6Q8:13C2 = C42.72D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:13C2192,630
C12.6Q8:14C2 = D4:5Dic6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:14C2192,1098
C12.6Q8:15C2 = C42.105D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:15C2192,1100
C12.6Q8:16C2 = C42.113D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:16C2192,1117
C12.6Q8:17C2 = C42.119D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:17C2192,1124
C12.6Q8:18C2 = D12:10Q8φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:18C2192,1138
C12.6Q8:19C2 = C42.132D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:19C2192,1140
C12.6Q8:20C2 = C42.234D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:20C2192,1239
C12.6Q8:21C2 = S3xC42.C2φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:21C2192,1246
C12.6Q8:22C2 = C42.236D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:22C2192,1247
C12.6Q8:23C2 = C42.168D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:23C2192,1278
C12.6Q8:24C2 = C42.174D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:24C2192,1288
C12.6Q8:25C2 = C42.176D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:25C2192,1290
C12.6Q8:26C2 = C42.118D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:26C2192,1123
C12.6Q8:27C2 = C42.134D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:27C2192,1142
C12.6Q8:28C2 = C42.140D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:28C2192,1231
C12.6Q8:29C2 = C42.145D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:29C2192,1243
C12.6Q8:30C2 = C42.157D6φ: C2/C1C2 ⊆ Out C12.6Q896C12.6Q8:30C2192,1258
C12.6Q8:31C2 = C42.274D6φ: trivial image96C12.6Q8:31C2192,1029
C12.6Q8:32C2 = C42.277D6φ: trivial image96C12.6Q8:32C2192,1038

Non-split extensions G=N.Q with N=C12.6Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12.6Q8.1C2 = C24.13Q8φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.1C2192,242
C12.6Q8.2C2 = C8:Dic6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.2C2192,261
C12.6Q8.3C2 = C42.14D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.3C2192,262
C12.6Q8.4C2 = C42.2D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.4C2192,24
C12.6Q8.5C2 = Dic6.3Q8φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.5C2192,388
C12.6Q8.6C2 = Q8.5Dic6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.6C2192,581
C12.6Q8.7C2 = C42.215D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.7C2192,624
C12.6Q8.8C2 = C42.76D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.8C2192,640
C12.6Q8.9C2 = C42.77D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.9C2192,641
C12.6Q8.10C2 = Dic6:10Q8φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.10C2192,1126
C12.6Q8.11C2 = Q8:6Dic6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.11C2192,1128
C12.6Q8.12C2 = C42.147D6φ: C2/C1C2 ⊆ Out C12.6Q8192C12.6Q8.12C2192,1245

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