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Extensions 1→N→G→Q→1 with N=C22.50C24 and Q=C2

Direct product G=N×Q with N=C22.50C24 and Q=C2
dρLabelID
C2×C22.50C2464C2xC2^2.50C2^4128,2206

Semidirect products G=N:Q with N=C22.50C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.50C24⋊1C2 = C42.189C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:1C2128,360
C22.50C24⋊2C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:2C2128,2034
C22.50C24⋊3C2 = C42.469C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:3C2128,2036
C22.50C24⋊4C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:4C2128,2043
C22.50C24⋊5C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:5C2128,2045
C22.50C24⋊6C2 = C42.473C23φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:6C2128,2056
C22.50C24⋊7C2 = C42.489C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:7C2128,2072
C22.50C24⋊8C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:8C2128,2082
C22.50C24⋊9C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:9C2128,2085
C22.50C24⋊10C2 = C42.501C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:10C2128,2092
C22.50C24⋊11C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:11C2128,2099
C22.50C24⋊12C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:12C2128,2108
C22.50C24⋊13C2 = C42.527C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:13C2128,2125
C22.50C24⋊14C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:14C2128,2126
C22.50C24⋊15C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:15C2128,2129
C22.50C24⋊16C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:16C2128,2133
C22.50C24⋊17C2 = C42.532C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:17C2128,2134
C22.50C24⋊18C2 = C22.82C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:18C2128,2225
C22.50C24⋊19C2 = C22.84C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:19C2128,2227
C22.50C24⋊20C2 = C22.95C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:20C2128,2238
C22.50C24⋊21C2 = C22.96C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:21C2128,2239
C22.50C24⋊22C2 = C22.98C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:22C2128,2241
C22.50C24⋊23C2 = C22.99C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:23C2128,2242
C22.50C24⋊24C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:24C2128,2243
C22.50C24⋊25C2 = C22.103C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:25C2128,2246
C22.50C24⋊26C2 = C22.105C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:26C2128,2248
C22.50C24⋊27C2 = C22.107C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:27C2128,2250
C22.50C24⋊28C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:28C2128,2252
C22.50C24⋊29C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:29C2128,2253
C22.50C24⋊30C2 = C23.146C24φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:30C2128,2255
C22.50C24⋊31C2 = C22.129C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:31C2128,2272
C22.50C24⋊32C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:32C2128,2273
C22.50C24⋊33C2 = C22.135C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:33C2128,2278
C22.50C24⋊34C2 = C22.139C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:34C2128,2282
C22.50C24⋊35C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:35C2128,2284
C22.50C24⋊36C2 = C22.144C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:36C2128,2287
C22.50C24⋊37C2 = C22.146C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:37C2128,2289
C22.50C24⋊38C2 = C22.150C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:38C2128,2293
C22.50C24⋊39C2 = C22.151C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:39C2128,2294
C22.50C24⋊40C2 = C22.153C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:40C2128,2296
C22.50C24⋊41C2 = C22.154C25φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4:41C2128,2297
C22.50C24⋊42C2 = C22.155C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:42C2128,2298
C22.50C24⋊43C2 = C22.157C25φ: C2/C1 → C2 ⊆ Out C22.50C2432C2^2.50C2^4:43C2128,2300
C22.50C24⋊44C2 = C22.64C25φ: trivial image32C2^2.50C2^4:44C2128,2207
C22.50C24⋊45C2 = C22.69C25φ: trivial image64C2^2.50C2^4:45C2128,2212
C22.50C24⋊46C2 = C22.71C25φ: trivial image64C2^2.50C2^4:46C2128,2214

Non-split extensions G=N.Q with N=C22.50C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.50C24.1C2 = C42.199C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.1C2128,370
C22.50C24.2C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.2C2128,382
C22.50C24.3C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.3C2128,384
C22.50C24.4C2 = C42.477C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.4C2128,2060
C22.50C24.5C2 = C42.491C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.5C2128,2074
C22.50C24.6C2 = C42.63C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.6C2128,2081
C22.50C24.7C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.7C2128,2088
C22.50C24.8C2 = C42.505C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.8C2128,2096
C22.50C24.9C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.9C2128,2101
C22.50C24.10C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.10C2128,2109
C22.50C24.11C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out C22.50C2464C2^2.50C2^4.11C2128,2130

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