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

Direct product G=N×Q with N=Q8⋊6D4 and Q=C2
dρLabelID
C2×Q8⋊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/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:1C2128,353
Q8⋊6D4⋊2C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:2C2128,2000
Q8⋊6D4⋊3C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:3C2128,2003
Q8⋊6D4⋊4C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:4C2128,2006
Q8⋊6D4⋊5C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:5C2128,2016
Q8⋊6D4⋊6C2 = Q16⋊13D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:6C2128,2019
Q8⋊6D4⋊7C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:7C2128,2037
Q8⋊6D4⋊8C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:8C2128,2041
Q8⋊6D4⋊9C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:9C2128,2064
Q8⋊6D4⋊10C2 = Q8⋊4D8φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:10C2128,2090
Q8⋊6D4⋊11C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:11C2128,2098
Q8⋊6D4⋊12C2 = Q8⋊5D8φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:12C2128,2123
Q8⋊6D4⋊13C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:13C2128,2129
Q8⋊6D4⋊14C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:14C2128,2131
Q8⋊6D4⋊15C2 = C22.76C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:15C2128,2219
Q8⋊6D4⋊16C2 = C22.77C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:16C2128,2220
Q8⋊6D4⋊17C2 = C4⋊2- 1+4φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:17C2128,2229
Q8⋊6D4⋊18C2 = C22.87C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:18C2128,2230
Q8⋊6D4⋊19C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:19C2128,2238
Q8⋊6D4⋊20C2 = C22.97C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:20C2128,2240
Q8⋊6D4⋊21C2 = C22.106C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:21C2128,2249
Q8⋊6D4⋊22C2 = C22.108C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:22C2128,2251
Q8⋊6D4⋊23C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:23C2128,2254
Q8⋊6D4⋊24C2 = C22.113C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:24C2128,2256
Q8⋊6D4⋊25C2 = C22.128C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:25C2128,2271
Q8⋊6D4⋊26C2 = C22.131C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:26C2128,2274
Q8⋊6D4⋊27C2 = C22.132C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:27C2128,2275
Q8⋊6D4⋊28C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:28C2128,2278
Q8⋊6D4⋊29C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:29C2128,2280
Q8⋊6D4⋊30C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4:30C2128,2286
Q8⋊6D4⋊31C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out Q8⋊6D432Q8:6D4:31C2128,2294
Q8⋊6D4⋊32C2 = D4×C4○D4φ: 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/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.1C2128,363
Q8⋊6D4.2C2 = Q8.D8φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.2C2128,373
Q8⋊6D4.3C2 = Q8⋊3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.3C2128,374
Q8⋊6D4.4C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.4C2128,2010
Q8⋊6D4.5C2 = C42.469C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.5C2128,2036
Q8⋊6D4.6C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.6C2128,2049
Q8⋊6D4.7C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.7C2128,2065
Q8⋊6D4.8C2 = Q8⋊8SD16φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.8C2128,2094
Q8⋊6D4.9C2 = C42.509C23φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.9C2128,2100
Q8⋊6D4.10C2 = Q8⋊9SD16φ: C2/C1 → C2 ⊆ Out Q8⋊6D464Q8:6D4.10C2128,2124

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