# Extensions 1→N→G→Q→1 with N=C22 and Q=C25

Direct product G=N×Q with N=C22 and Q=C25
dρLabelID
C27128C2^7128,2328

Semidirect products G=N:Q with N=C22 and Q=C25
extensionφ:Q→Aut NdρLabelID
C22⋊C25 = D4×C24φ: C25/C24C2 ⊆ Aut C2264C2^2:C2^5128,2320

Non-split extensions G=N.Q with N=C22 and Q=C25
extensionφ:Q→Aut NdρLabelID
C22.1C25 = C23×C4○D4φ: C25/C24C2 ⊆ Aut C2264C2^2.1C2^5128,2322
C22.2C25 = C2×C2.C25φ: C25/C24C2 ⊆ Aut C2232C2^2.2C2^5128,2325
C22.3C25 = 2+ 1+6φ: C25/C24C2 ⊆ Aut C22168+C2^2.3C2^5128,2326
C22.4C25 = 2- 1+6φ: C25/C24C2 ⊆ Aut C22328-C2^2.4C2^5128,2327
C22.5C25 = C23×C22⋊C4central extension (φ=1)64C2^2.5C2^5128,2151
C22.6C25 = C23×C4⋊C4central extension (φ=1)128C2^2.6C2^5128,2152
C22.7C25 = C22×C42⋊C2central extension (φ=1)64C2^2.7C2^5128,2153
C22.8C25 = D4×C22×C4central extension (φ=1)64C2^2.8C2^5128,2154
C22.9C25 = Q8×C22×C4central extension (φ=1)128C2^2.9C2^5128,2155
C22.10C25 = C2×C4×C4○D4central extension (φ=1)64C2^2.10C2^5128,2156
C22.11C25 = C2×C22.11C24central extension (φ=1)32C2^2.11C2^5128,2157
C22.12C25 = C2×C23.32C23central extension (φ=1)64C2^2.12C2^5128,2158
C22.13C25 = C2×C23.33C23central extension (φ=1)64C2^2.13C2^5128,2159
C22.14C25 = C22.14C25central extension (φ=1)32C2^2.14C2^5128,2160
C22.15C25 = C4×2+ 1+4central extension (φ=1)32C2^2.15C2^5128,2161
C22.16C25 = C4×2- 1+4central extension (φ=1)64C2^2.16C2^5128,2162
C22.17C25 = Q8×C24central extension (φ=1)128C2^2.17C2^5128,2321
C22.18C25 = C22×2+ 1+4central extension (φ=1)32C2^2.18C2^5128,2323
C22.19C25 = C22×2- 1+4central extension (φ=1)64C2^2.19C2^5128,2324
C22.20C25 = C22×C22≀C2central stem extension (φ=1)32C2^2.20C2^5128,2163
C22.21C25 = C22×C4⋊D4central stem extension (φ=1)64C2^2.21C2^5128,2164
C22.22C25 = C22×C22⋊Q8central stem extension (φ=1)64C2^2.22C2^5128,2165
C22.23C25 = C22×C22.D4central stem extension (φ=1)64C2^2.23C2^5128,2166
C22.24C25 = C2×C22.19C24central stem extension (φ=1)32C2^2.24C2^5128,2167
C22.25C25 = C22×C4.4D4central stem extension (φ=1)64C2^2.25C2^5128,2168
C22.26C25 = C22×C42.C2central stem extension (φ=1)128C2^2.26C2^5128,2169
C22.27C25 = C22×C422C2central stem extension (φ=1)64C2^2.27C2^5128,2170
C22.28C25 = C2×C23.36C23central stem extension (φ=1)64C2^2.28C2^5128,2171
C22.29C25 = C22×C41D4central stem extension (φ=1)64C2^2.29C2^5128,2172
C22.30C25 = C22×C4⋊Q8central stem extension (φ=1)128C2^2.30C2^5128,2173
C22.31C25 = C2×C22.26C24central stem extension (φ=1)64C2^2.31C2^5128,2174
C22.32C25 = C2×C23.37C23central stem extension (φ=1)64C2^2.32C2^5128,2175
C22.33C25 = C22.33C25central stem extension (φ=1)32C2^2.33C2^5128,2176
C22.34C25 = C2×C233D4central stem extension (φ=1)32C2^2.34C2^5128,2177
C22.35C25 = C2×C22.29C24central stem extension (φ=1)32C2^2.35C2^5128,2178
C22.36C25 = C2×C23.38C23central stem extension (φ=1)64C2^2.36C2^5128,2179
C22.37C25 = C2×C22.31C24central stem extension (φ=1)64C2^2.37C2^5128,2180
C22.38C25 = C22.38C25central stem extension (φ=1)32C2^2.38C2^5128,2181
C22.39C25 = C2×C22.32C24central stem extension (φ=1)32C2^2.39C2^5128,2182
C22.40C25 = C2×C22.33C24central stem extension (φ=1)64C2^2.40C2^5128,2183
C22.41C25 = C2×C22.34C24central stem extension (φ=1)64C2^2.41C2^5128,2184
C22.42C25 = C2×C22.35C24central stem extension (φ=1)64C2^2.42C2^5128,2185
C22.43C25 = C2×C22.36C24central stem extension (φ=1)64C2^2.43C2^5128,2186
C22.44C25 = C22.44C25central stem extension (φ=1)32C2^2.44C2^5128,2187
C22.45C25 = C2×C232Q8central stem extension (φ=1)32C2^2.45C2^5128,2188
C22.46C25 = C2×C23.41C23central stem extension (φ=1)64C2^2.46C2^5128,2189
C22.47C25 = C22.47C25central stem extension (φ=1)32C2^2.47C2^5128,2190
C22.48C25 = C22.48C25central stem extension (φ=1)32C2^2.48C2^5128,2191
C22.49C25 = C22.49C25central stem extension (φ=1)32C2^2.49C2^5128,2192
C22.50C25 = C22.50C25central stem extension (φ=1)64C2^2.50C2^5128,2193
C22.51C25 = C2×D42central stem extension (φ=1)32C2^2.51C2^5128,2194
C22.52C25 = C2×D45D4central stem extension (φ=1)32C2^2.52C2^5128,2195
C22.53C25 = C2×D46D4central stem extension (φ=1)64C2^2.53C2^5128,2196
C22.54C25 = C2×Q85D4central stem extension (φ=1)64C2^2.54C2^5128,2197
C22.55C25 = C2×D4×Q8central stem extension (φ=1)64C2^2.55C2^5128,2198
C22.56C25 = C2×Q86D4central stem extension (φ=1)64C2^2.56C2^5128,2199
C22.57C25 = D4×C4○D4central stem extension (φ=1)32C2^2.57C2^5128,2200
C22.58C25 = C2×C22.45C24central stem extension (φ=1)32C2^2.58C2^5128,2201
C22.59C25 = C2×C22.46C24central stem extension (φ=1)64C2^2.59C2^5128,2202
C22.60C25 = C2×C22.47C24central stem extension (φ=1)64C2^2.60C2^5128,2203
C22.61C25 = C2×D43Q8central stem extension (φ=1)64C2^2.61C2^5128,2204
C22.62C25 = C2×C22.49C24central stem extension (φ=1)64C2^2.62C2^5128,2205
C22.63C25 = C2×C22.50C24central stem extension (φ=1)64C2^2.63C2^5128,2206
C22.64C25 = C22.64C25central stem extension (φ=1)32C2^2.64C2^5128,2207
C22.65C25 = C2×Q83Q8central stem extension (φ=1)128C2^2.65C2^5128,2208
C22.66C25 = C2×Q82central stem extension (φ=1)128C2^2.66C2^5128,2209
C22.67C25 = Q8×C4○D4central stem extension (φ=1)64C2^2.67C2^5128,2210
C22.68C25 = C2×C22.53C24central stem extension (φ=1)64C2^2.68C2^5128,2211
C22.69C25 = C22.69C25central stem extension (φ=1)64C2^2.69C2^5128,2212
C22.70C25 = C22.70C25central stem extension (φ=1)32C2^2.70C2^5128,2213
C22.71C25 = C22.71C25central stem extension (φ=1)64C2^2.71C2^5128,2214
C22.72C25 = C22.72C25central stem extension (φ=1)64C2^2.72C2^5128,2215
C22.73C25 = C22.73C25central stem extension (φ=1)16C2^2.73C2^5128,2216
C22.74C25 = C22.74C25central stem extension (φ=1)32C2^2.74C2^5128,2217
C22.75C25 = C22.75C25central stem extension (φ=1)32C2^2.75C2^5128,2218
C22.76C25 = C22.76C25central stem extension (φ=1)32C2^2.76C2^5128,2219
C22.77C25 = C22.77C25central stem extension (φ=1)32C2^2.77C2^5128,2220
C22.78C25 = C22.78C25central stem extension (φ=1)32C2^2.78C2^5128,2221
C22.79C25 = C22.79C25central stem extension (φ=1)16C2^2.79C2^5128,2222
C22.80C25 = C22.80C25central stem extension (φ=1)32C2^2.80C2^5128,2223
C22.81C25 = C22.81C25central stem extension (φ=1)32C2^2.81C2^5128,2224
C22.82C25 = C22.82C25central stem extension (φ=1)32C2^2.82C2^5128,2225
C22.83C25 = C22.83C25central stem extension (φ=1)32C2^2.83C2^5128,2226
C22.84C25 = C22.84C25central stem extension (φ=1)32C2^2.84C2^5128,2227
C22.85C25 = C4⋊2+ 1+4central stem extension (φ=1)32C2^2.85C2^5128,2228
C22.86C25 = C4⋊2- 1+4central stem extension (φ=1)64C2^2.86C2^5128,2229
C22.87C25 = C22.87C25central stem extension (φ=1)32C2^2.87C2^5128,2230
C22.88C25 = C22.88C25central stem extension (φ=1)64C2^2.88C2^5128,2231
C22.89C25 = C22.89C25central stem extension (φ=1)32C2^2.89C2^5128,2232
C22.90C25 = C22.90C25central stem extension (φ=1)32C2^2.90C2^5128,2233
C22.91C25 = C22.91C25central stem extension (φ=1)64C2^2.91C2^5128,2234
C22.92C25 = C22.92C25central stem extension (φ=1)64C2^2.92C2^5128,2235
C22.93C25 = C22.93C25central stem extension (φ=1)64C2^2.93C2^5128,2236
C22.94C25 = C22.94C25central stem extension (φ=1)32C2^2.94C2^5128,2237
C22.95C25 = C22.95C25central stem extension (φ=1)32C2^2.95C2^5128,2238
C22.96C25 = C22.96C25central stem extension (φ=1)64C2^2.96C2^5128,2239
C22.97C25 = C22.97C25central stem extension (φ=1)32C2^2.97C2^5128,2240
C22.98C25 = C22.98C25central stem extension (φ=1)64C2^2.98C2^5128,2241
C22.99C25 = C22.99C25central stem extension (φ=1)32C2^2.99C2^5128,2242
C22.100C25 = C22.100C25central stem extension (φ=1)64C2^2.100C2^5128,2243
C22.101C25 = C22.101C25central stem extension (φ=1)64C2^2.101C2^5128,2244
C22.102C25 = C22.102C25central stem extension (φ=1)32C2^2.102C2^5128,2245
C22.103C25 = C22.103C25central stem extension (φ=1)32C2^2.103C2^5128,2246
C22.104C25 = C22.104C25central stem extension (φ=1)64C2^2.104C2^5128,2247
C22.105C25 = C22.105C25central stem extension (φ=1)64C2^2.105C2^5128,2248
C22.106C25 = C22.106C25central stem extension (φ=1)64C2^2.106C2^5128,2249
C22.107C25 = C22.107C25central stem extension (φ=1)64C2^2.107C2^5128,2250
C22.108C25 = C22.108C25central stem extension (φ=1)32C2^2.108C2^5128,2251
C22.109C25 = C23.144C24central stem extension (φ=1)32C2^2.109C2^5128,2252
C22.110C25 = C22.110C25central stem extension (φ=1)32C2^2.110C2^5128,2253
C22.111C25 = C22.111C25central stem extension (φ=1)64C2^2.111C2^5128,2254
C22.112C25 = C23.146C24central stem extension (φ=1)64C2^2.112C2^5128,2255
C22.113C25 = C22.113C25central stem extension (φ=1)64C2^2.113C2^5128,2256
C22.114C25 = C2×C22.54C24central stem extension (φ=1)32C2^2.114C2^5128,2257
C22.115C25 = C2×C24⋊C22central stem extension (φ=1)32C2^2.115C2^5128,2258
C22.116C25 = C2×C22.56C24central stem extension (φ=1)64C2^2.116C2^5128,2259
C22.117C25 = C2×C22.57C24central stem extension (φ=1)64C2^2.117C2^5128,2260
C22.118C25 = C22.118C25central stem extension (φ=1)32C2^2.118C2^5128,2261
C22.119C25 = C2×C22.58C24central stem extension (φ=1)128C2^2.119C2^5128,2262
C22.120C25 = C22.120C25central stem extension (φ=1)64C2^2.120C2^5128,2263
C22.121C25 = C42⋊C23central stem extension (φ=1)16C2^2.121C2^5128,2264
C22.122C25 = C22.122C25central stem extension (φ=1)32C2^2.122C2^5128,2265
C22.123C25 = C22.123C25central stem extension (φ=1)32C2^2.123C2^5128,2266
C22.124C25 = C22.124C25central stem extension (φ=1)32C2^2.124C2^5128,2267
C22.125C25 = C22.125C25central stem extension (φ=1)32C2^2.125C2^5128,2268
C22.126C25 = C22.126C25central stem extension (φ=1)32C2^2.126C2^5128,2269
C22.127C25 = C22.127C25central stem extension (φ=1)32C2^2.127C2^5128,2270
C22.128C25 = C22.128C25central stem extension (φ=1)32C2^2.128C2^5128,2271
C22.129C25 = C22.129C25central stem extension (φ=1)32C2^2.129C2^5128,2272
C22.130C25 = C22.130C25central stem extension (φ=1)32C2^2.130C2^5128,2273
C22.131C25 = C22.131C25central stem extension (φ=1)32C2^2.131C2^5128,2274
C22.132C25 = C22.132C25central stem extension (φ=1)32C2^2.132C2^5128,2275
C22.133C25 = C22.133C25central stem extension (φ=1)64C2^2.133C2^5128,2276
C22.134C25 = C22.134C25central stem extension (φ=1)32C2^2.134C2^5128,2277
C22.135C25 = C22.135C25central stem extension (φ=1)32C2^2.135C2^5128,2278
C22.136C25 = C22.136C25central stem extension (φ=1)64C2^2.136C2^5128,2279
C22.137C25 = C22.137C25central stem extension (φ=1)64C2^2.137C2^5128,2280
C22.138C25 = C22.138C25central stem extension (φ=1)32C2^2.138C2^5128,2281
C22.139C25 = C22.139C25central stem extension (φ=1)64C2^2.139C2^5128,2282
C22.140C25 = C22.140C25central stem extension (φ=1)32C2^2.140C2^5128,2283
C22.141C25 = C22.141C25central stem extension (φ=1)64C2^2.141C2^5128,2284
C22.142C25 = C22.142C25central stem extension (φ=1)64C2^2.142C2^5128,2285
C22.143C25 = C22.143C25central stem extension (φ=1)64C2^2.143C2^5128,2286
C22.144C25 = C22.144C25central stem extension (φ=1)64C2^2.144C2^5128,2287
C22.145C25 = C22.145C25central stem extension (φ=1)64C2^2.145C2^5128,2288
C22.146C25 = C22.146C25central stem extension (φ=1)64C2^2.146C2^5128,2289
C22.147C25 = C22.147C25central stem extension (φ=1)32C2^2.147C2^5128,2290
C22.148C25 = C22.148C25central stem extension (φ=1)64C2^2.148C2^5128,2291
C22.149C25 = C22.149C25central stem extension (φ=1)32C2^2.149C2^5128,2292
C22.150C25 = C22.150C25central stem extension (φ=1)32C2^2.150C2^5128,2293
C22.151C25 = C22.151C25central stem extension (φ=1)32C2^2.151C2^5128,2294
C22.152C25 = C22.152C25central stem extension (φ=1)64C2^2.152C2^5128,2295
C22.153C25 = C22.153C25central stem extension (φ=1)32C2^2.153C2^5128,2296
C22.154C25 = C22.154C25central stem extension (φ=1)64C2^2.154C2^5128,2297
C22.155C25 = C22.155C25central stem extension (φ=1)32C2^2.155C2^5128,2298
C22.156C25 = C22.156C25central stem extension (φ=1)64C2^2.156C2^5128,2299
C22.157C25 = C22.157C25central stem extension (φ=1)32C2^2.157C2^5128,2300

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