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Extensions 1→N→G→Q→1 with N=C22.26C24 and Q=C2

Direct product G=N×Q with N=C22.26C24 and Q=C2
dρLabelID
C2×C22.26C2464C2xC2^2.26C2^4128,2174

Semidirect products G=N:Q with N=C22.26C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.26C24⋊1C2 = C42.313C23φ: C2/C1 → C2 ⊆ Out C22.26C24164C2^2.26C2^4:1C2128,1750
C22.26C24⋊2C2 = C42.443D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:2C2128,1767
C22.26C24⋊3C2 = C42.211D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:3C2128,1768
C22.26C24⋊4C2 = C42.221D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:4C2128,1832
C22.26C24⋊5C2 = C42.450D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:5C2128,1838
C22.26C24⋊6C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:6C2128,1841
C22.26C24⋊7C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:7C2128,1847
C22.26C24⋊8C2 = C42.360D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:8C2128,1879
C22.26C24⋊9C2 = C42.247D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:9C2128,1882
C22.26C24⋊10C2 = M4(2)⋊7D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:10C2128,1883
C22.26C24⋊11C2 = M4(2)⋊9D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:11C2128,1885
C22.26C24⋊12C2 = C42.366D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:12C2128,1901
C22.26C24⋊13C2 = C42.255D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:13C2128,1903
C22.26C24⋊14C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:14C2128,1912
C22.26C24⋊15C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:15C2128,1916
C22.26C24⋊16C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:16C2128,1937
C22.26C24⋊17C2 = C42.265D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:17C2128,1939
C22.26C24⋊18C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:18C2128,1944
C22.26C24⋊19C2 = C42.271D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:19C2128,1945
C22.26C24⋊20C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:20C2128,1946
C22.26C24⋊21C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:21C2128,1951
C22.26C24⋊22C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:22C2128,1977
C22.26C24⋊23C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:23C2128,1979
C22.26C24⋊24C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:24C2128,1983
C22.26C24⋊25C2 = C42.301D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:25C2128,1985
C22.26C24⋊26C2 = C22.38C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:26C2128,2181
C22.26C24⋊27C2 = C22.44C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:27C2128,2187
C22.26C24⋊28C2 = C22.49C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:28C2128,2192
C22.26C24⋊29C2 = D4×C4○D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:29C2128,2200
C22.26C24⋊30C2 = C22.69C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:30C2128,2212
C22.26C24⋊31C2 = C22.70C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:31C2128,2213
C22.26C24⋊32C2 = C22.72C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:32C2128,2215
C22.26C24⋊33C2 = C22.83C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:33C2128,2226
C22.26C24⋊34C2 = C4⋊2+ 1+4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:34C2128,2228
C22.26C24⋊35C2 = C4⋊2- 1+4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:35C2128,2229
C22.26C24⋊36C2 = C22.87C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:36C2128,2230
C22.26C24⋊37C2 = C22.88C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:37C2128,2231
C22.26C24⋊38C2 = C22.89C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:38C2128,2232
C22.26C24⋊39C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:39C2128,2238
C22.26C24⋊40C2 = C22.97C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:40C2128,2240
C22.26C24⋊41C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:41C2128,2243
C22.26C24⋊42C2 = C22.101C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:42C2128,2244
C22.26C24⋊43C2 = C22.103C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:43C2128,2246
C22.26C24⋊44C2 = C22.106C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:44C2128,2249
C22.26C24⋊45C2 = C22.108C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:45C2128,2251
C22.26C24⋊46C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:46C2128,2254
C22.26C24⋊47C2 = C22.118C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:47C2128,2261
C22.26C24⋊48C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:48C2128,2278
C22.26C24⋊49C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:49C2128,2279
C22.26C24⋊50C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:50C2128,2280
C22.26C24⋊51C2 = C22.138C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:51C2128,2281
C22.26C24⋊52C2 = C22.140C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:52C2128,2283
C22.26C24⋊53C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:53C2128,2286
C22.26C24⋊54C2 = C22.147C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:54C2128,2290
C22.26C24⋊55C2 = C22.148C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4:55C2128,2291
C22.26C24⋊56C2 = C22.149C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:56C2128,2292
C22.26C24⋊57C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4:57C2128,2294
C22.26C24⋊58C2 = C22.33C25φ: trivial image32C2^2.26C2^4:58C2128,2176

Non-split extensions G=N.Q with N=C22.26C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.26C24.1C2 = C42.45D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.1C2128,212
C22.26C24.2C2 = C42.400D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.2C2128,216
C22.26C24.3C2 = C42.315D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.3C2128,224
C22.26C24.4C2 = C42.53D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.4C2128,228
C22.26C24.5C2 = C42.403D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.5C2128,234
C22.26C24.6C2 = C42.55D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.6C2128,237
C22.26C24.7C2 = C42.59D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.7C2128,246
C22.26C24.8C2 = C42.61D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.8C2128,249
C22.26C24.9C2 = C42.405D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.9C2128,257
C22.26C24.10C2 = C42.67D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.10C2128,262
C22.26C24.11C2 = C42.73D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.11C2128,268
C22.26C24.12C2 = C42.409D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.12C2128,272
C22.26C24.13C2 = C42.411D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.13C2128,275
C22.26C24.14C2 = C42.78D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.14C2128,279
C22.26C24.15C2 = C42.80D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.15C2128,283
C22.26C24.16C2 = C42.417D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.16C2128,285
C22.26C24.17C2 = C42.84D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.17C2128,289
C22.26C24.18C2 = C42.87D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.18C2128,292
C22.26C24.19C2 = M4(2)⋊19D4φ: C2/C1 → C2 ⊆ Out C22.26C24164C2^2.26C2^4.19C2128,616
C22.26C24.20C2 = C43⋊C2φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.20C2128,694
C22.26C24.21C2 = C42⋊8D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.21C2128,695
C22.26C24.22C2 = M4(2)⋊13D4φ: C2/C1 → C2 ⊆ Out C22.26C2432C2^2.26C2^4.22C2128,712
C22.26C24.23C2 = C4⋊Q8⋊29C4φ: C2/C1 → C2 ⊆ Out C22.26C24164C2^2.26C2^4.23C2128,858
C22.26C24.24C2 = (C2×D4).135D4φ: C2/C1 → C2 ⊆ Out C22.26C24164C2^2.26C2^4.24C2128,864
C22.26C24.25C2 = C42.266C23φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.25C2128,1664
C22.26C24.26C2 = M4(2)⋊23D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.26C2128,1667
C22.26C24.27C2 = C42.694C23φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.27C2128,1711
C22.26C24.28C2 = C42.300C23φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.28C2128,1712
C22.26C24.29C2 = C42.301C23φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.29C2128,1713
C22.26C24.30C2 = C42.212D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.30C2128,1769
C22.26C24.31C2 = C42.223D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.31C2128,1835
C22.26C24.32C2 = C42.230D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.32C2128,1844
C22.26C24.33C2 = C42.355D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.33C2128,1863
C22.26C24.34C2 = C42.239D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.34C2128,1867
C22.26C24.35C2 = C42.243D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.35C2128,1873
C22.26C24.36C2 = C42.244D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.36C2128,1874
C22.26C24.37C2 = M4(2)⋊8D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.37C2128,1884
C22.26C24.38C2 = C42.365D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.38C2128,1899
C22.26C24.39C2 = C42.259D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.39C2128,1914
C22.26C24.40C2 = C42.264D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.40C2128,1938
C22.26C24.41C2 = C42.268D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.41C2128,1942
C22.26C24.42C2 = C42.274D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.42C2128,1948
C22.26C24.43C2 = C42.278D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.43C2128,1958
C22.26C24.44C2 = C42.279D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.44C2128,1959
C22.26C24.45C2 = C42.280D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.45C2128,1960
C22.26C24.46C2 = C42.286D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.46C2128,1966
C22.26C24.47C2 = C42.287D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.47C2128,1967
C22.26C24.48C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.48C2128,1978
C22.26C24.49C2 = C42.302D4φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.49C2128,1986
C22.26C24.50C2 = C22.96C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.50C2128,2239
C22.26C24.51C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out C22.26C2464C2^2.26C2^4.51C2128,2282
C22.26C24.52C2 = C42.681C23φ: trivial image64C2^2.26C2^4.52C2128,1663

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