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Extensions 1→N→G→Q→1 with N=D4:6D4 and Q=C2

Direct product G=NxQ with N=D4:6D4 and Q=C2
dρLabelID
C2xD4:6D464C2xD4:6D4128,2196

Semidirect products G=N:Q with N=D4:6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:6D4:1C2 = D4:3D8φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:1C2128,357
D4:6D4:2C2 = D8:10D4φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:2C2128,1999
D4:6D4:3C2 = SD16:8D4φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:3C2128,2001
D4:6D4:4C2 = D8:4D4φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:4C2128,2004
D4:6D4:5C2 = D8:13D4φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:5C2128,2015
D4:6D4:6C2 = SD16:11D4φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:6C2128,2016
D4:6D4:7C2 = D4:4D8φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:7C2128,2026
D4:6D4:8C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:8C2128,2035
D4:6D4:9C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:9C2128,2038
D4:6D4:10C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:10C2128,2039
D4:6D4:11C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:11C2128,2040
D4:6D4:12C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:12C2128,2062
D4:6D4:13C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:13C2128,2064
D4:6D4:14C2 = D4:5D8φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:14C2128,2066
D4:6D4:15C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:15C2128,2077
D4:6D4:16C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:16C2128,2086
D4:6D4:17C2 = C22.74C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:17C2128,2217
D4:6D4:18C2 = C22.78C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:18C2128,2221
D4:6D4:19C2 = C22.81C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:19C2128,2224
D4:6D4:20C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:20C2128,2226
D4:6D4:21C2 = C4:2+ 1+4φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:21C2128,2228
D4:6D4:22C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:22C2128,2231
D4:6D4:23C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:23C2128,2238
D4:6D4:24C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:24C2128,2243
D4:6D4:25C2 = C22.102C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:25C2128,2245
D4:6D4:26C2 = C22.104C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:26C2128,2247
D4:6D4:27C2 = C22.106C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:27C2128,2249
D4:6D4:28C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:28C2128,2252
D4:6D4:29C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:29C2128,2253
D4:6D4:30C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:30C2128,2254
D4:6D4:31C2 = C22.122C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:31C2128,2265
D4:6D4:32C2 = C22.124C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:32C2128,2267
D4:6D4:33C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:33C2128,2268
D4:6D4:34C2 = C22.128C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:34C2128,2271
D4:6D4:35C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:35C2128,2273
D4:6D4:36C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:36C2128,2274
D4:6D4:37C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:37C2128,2276
D4:6D4:38C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:38C2128,2278
D4:6D4:39C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:39C2128,2279
D4:6D4:40C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:40C2128,2280
D4:6D4:41C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:41C2128,2284
D4:6D4:42C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:42C2128,2286
D4:6D4:43C2 = C22.148C25φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4:43C2128,2291
D4:6D4:44C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:44C2128,2292
D4:6D4:45C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out D4:6D432D4:6D4:45C2128,2294
D4:6D4:46C2 = D4xC4oD4φ: trivial image32D4:6D4:46C2128,2200
D4:6D4:47C2 = C22.64C25φ: trivial image32D4:6D4:47C2128,2207
D4:6D4:48C2 = C22.71C25φ: trivial image64D4:6D4:48C2128,2214

Non-split extensions G=N.Q with N=D4:6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:6D4.1C2 = D4.SD16φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.1C2128,367
D4:6D4.2C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.2C2128,379
D4:6D4.3C2 = D4:4SD16φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.3C2128,386
D4:6D4.4C2 = SD16:3D4φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.4C2128,2008
D4:6D4.5C2 = D4:8SD16φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.5C2128,2030
D4:6D4.6C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.6C2128,2034
D4:6D4.7C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.7C2128,2047
D4:6D4.8C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.8C2128,2063
D4:6D4.9C2 = D4:9SD16φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.9C2128,2067
D4:6D4.10C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.10C2128,2075
D4:6D4.11C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out D4:6D464D4:6D4.11C2128,2085

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