Extensions 1→N→G→Q→1 with N=Q8:6D4 and Q=C2

Direct product G=NxQ with N=Q8:6D4 and Q=C2
dρLabelID
C2xQ8:6D464C2xQ8:6D4128,2199

Semidirect products G=N:Q with N=Q8:6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:6D4:1C2 = Q8:D8φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:1C2128,353
Q8:6D4:2C2 = SD16:7D4φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:2C2128,2000
Q8:6D4:3C2 = Q16:10D4φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:3C2128,2003
Q8:6D4:4C2 = SD16:1D4φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:4C2128,2006
Q8:6D4:5C2 = SD16:11D4φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:5C2128,2016
Q8:6D4:6C2 = Q16:13D4φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:6C2128,2019
Q8:6D4:7C2 = C42.470C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:7C2128,2037
Q8:6D4:8C2 = C42.44C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:8C2128,2041
Q8:6D4:9C2 = C42.481C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:9C2128,2064
Q8:6D4:10C2 = Q8:4D8φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:10C2128,2090
Q8:6D4:11C2 = C42.507C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:11C2128,2098
Q8:6D4:12C2 = Q8:5D8φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:12C2128,2123
Q8:6D4:13C2 = C42.72C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:13C2128,2129
Q8:6D4:14C2 = C42.74C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:14C2128,2131
Q8:6D4:15C2 = C22.76C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:15C2128,2219
Q8:6D4:16C2 = C22.77C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:16C2128,2220
Q8:6D4:17C2 = C4:2- 1+4φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:17C2128,2229
Q8:6D4:18C2 = C22.87C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:18C2128,2230
Q8:6D4:19C2 = C22.95C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:19C2128,2238
Q8:6D4:20C2 = C22.97C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:20C2128,2240
Q8:6D4:21C2 = C22.106C25φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:21C2128,2249
Q8:6D4:22C2 = C22.108C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:22C2128,2251
Q8:6D4:23C2 = C22.111C25φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:23C2128,2254
Q8:6D4:24C2 = C22.113C25φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:24C2128,2256
Q8:6D4:25C2 = C22.128C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:25C2128,2271
Q8:6D4:26C2 = C22.131C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:26C2128,2274
Q8:6D4:27C2 = C22.132C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:27C2128,2275
Q8:6D4:28C2 = C22.135C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:28C2128,2278
Q8:6D4:29C2 = C22.137C25φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:29C2128,2280
Q8:6D4:30C2 = C22.143C25φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4:30C2128,2286
Q8:6D4:31C2 = C22.151C25φ: C2/C1C2 ⊆ Out Q8:6D432Q8:6D4:31C2128,2294
Q8:6D4:32C2 = D4xC4oD4φ: trivial image32Q8:6D4:32C2128,2200
Q8:6D4:33C2 = C22.69C25φ: trivial image64Q8:6D4:33C2128,2212
Q8:6D4:34C2 = C22.72C25φ: trivial image64Q8:6D4:34C2128,2215

Non-split extensions G=N.Q with N=Q8:6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:6D4.1C2 = Q8:2SD16φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.1C2128,363
Q8:6D4.2C2 = Q8.D8φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.2C2128,373
Q8:6D4.3C2 = Q8:3SD16φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.3C2128,374
Q8:6D4.4C2 = Q16:5D4φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.4C2128,2010
Q8:6D4.5C2 = C42.469C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.5C2128,2036
Q8:6D4.6C2 = C42.52C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.6C2128,2049
Q8:6D4.7C2 = C42.482C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.7C2128,2065
Q8:6D4.8C2 = Q8:8SD16φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.8C2128,2094
Q8:6D4.9C2 = C42.509C23φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.9C2128,2100
Q8:6D4.10C2 = Q8:9SD16φ: C2/C1C2 ⊆ Out Q8:6D464Q8:6D4.10C2128,2124

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