# Extensions 1→N→G→Q→1 with N=C22.D4 and Q=C22

Direct product G=N×Q with N=C22.D4 and Q=C22
dρLabelID
C22×C22.D464C2^2xC2^2.D4128,2166

Semidirect products G=N:Q with N=C22.D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C22.D41C22 = C24⋊C23φ: C22/C1C22 ⊆ Out C22.D4168+C2^2.D4:1C2^2128,1758
C22.D42C22 = C23.10C24φ: C22/C1C22 ⊆ Out C22.D4328-C2^2.D4:2C2^2128,1760
C22.D43C22 = C22.78C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:3C2^2128,2221
C22.D44C22 = C22.80C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:4C2^2128,2223
C22.D45C22 = C22.81C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:5C2^2128,2224
C22.D46C22 = C4⋊2+ 1+4φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:6C2^2128,2228
C22.D47C22 = C22.89C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:7C2^2128,2232
C22.D48C22 = C22.94C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:8C2^2128,2237
C22.D49C22 = C22.97C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:9C2^2128,2240
C22.D410C22 = C22.102C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:10C2^2128,2245
C22.D411C22 = C23.144C24φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:11C2^2128,2252
C22.D412C22 = C42⋊C23φ: C22/C1C22 ⊆ Out C22.D416C2^2.D4:12C2^2128,2264
C22.D413C22 = C22.122C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:13C2^2128,2265
C22.D414C22 = C22.124C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:14C2^2128,2267
C22.D415C22 = C22.125C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:15C2^2128,2268
C22.D416C22 = C22.126C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:16C2^2128,2269
C22.D417C22 = C22.127C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:17C2^2128,2270
C22.D418C22 = C22.128C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:18C2^2128,2271
C22.D419C22 = C22.130C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:19C2^2128,2273
C22.D420C22 = C22.131C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:20C2^2128,2274
C22.D421C22 = C22.134C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:21C2^2128,2277
C22.D422C22 = C22.135C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:22C2^2128,2278
C22.D423C22 = C22.147C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:23C2^2128,2290
C22.D424C22 = C22.149C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:24C2^2128,2292
C22.D425C22 = C22.150C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:25C2^2128,2293
C22.D426C22 = C22.151C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:26C2^2128,2294
C22.D427C22 = C22.153C25φ: C22/C1C22 ⊆ Out C22.D432C2^2.D4:27C2^2128,2296
C22.D428C22 = C2×C23.7D4φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:28C2^2128,1756
C22.D429C22 = C23.7C24φ: C22/C2C2 ⊆ Out C22.D4164C2^2.D4:29C2^2128,1757
C22.D430C22 = C2×C233D4φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:30C2^2128,2177
C22.D431C22 = C2×C23.38C23φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:31C2^2128,2179
C22.D432C22 = C22.38C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:32C2^2128,2181
C22.D433C22 = C2×C22.32C24φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:33C2^2128,2182
C22.D434C22 = C2×C22.33C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:34C2^2128,2183
C22.D435C22 = C2×C22.34C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:35C2^2128,2184
C22.D436C22 = C2×C22.36C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:36C2^2128,2186
C22.D437C22 = C22.44C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:37C2^2128,2187
C22.D438C22 = C22.48C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:38C2^2128,2191
C22.D439C22 = C22.49C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:39C2^2128,2192
C22.D440C22 = C2×D45D4φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:40C2^2128,2195
C22.D441C22 = C2×D46D4φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:41C2^2128,2196
C22.D442C22 = D4×C4○D4φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:42C2^2128,2200
C22.D443C22 = C2×C22.45C24φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:43C2^2128,2201
C22.D444C22 = C2×C22.47C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:44C2^2128,2203
C22.D445C22 = C22.64C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:45C2^2128,2207
C22.D446C22 = C2×C22.53C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:46C2^2128,2211
C22.D447C22 = C22.70C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:47C2^2128,2213
C22.D448C22 = C22.73C25φ: C22/C2C2 ⊆ Out C22.D416C2^2.D4:48C2^2128,2216
C22.D449C22 = C22.77C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:49C2^2128,2220
C22.D450C22 = C22.79C25φ: C22/C2C2 ⊆ Out C22.D416C2^2.D4:50C2^2128,2222
C22.D451C22 = C22.83C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:51C2^2128,2226
C22.D452C22 = C22.95C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:52C2^2128,2238
C22.D453C22 = C22.99C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:53C2^2128,2242
C22.D454C22 = C22.103C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:54C2^2128,2246
C22.D455C22 = C22.108C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:55C2^2128,2251
C22.D456C22 = C22.110C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:56C2^2128,2253
C22.D457C22 = C2×C22.54C24φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:57C2^2128,2257
C22.D458C22 = C2×C22.56C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4:58C2^2128,2259
C22.D459C22 = C22.118C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:59C2^2128,2261
C22.D460C22 = C22.123C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:60C2^2128,2266
C22.D461C22 = C22.129C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:61C2^2128,2272
C22.D462C22 = C22.132C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:62C2^2128,2275
C22.D463C22 = C22.140C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:63C2^2128,2283
C22.D464C22 = C22.155C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:64C2^2128,2298
C22.D465C22 = C22.157C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4:65C2^2128,2300
C22.D466C22 = C2×C22.19C24φ: trivial image32C2^2.D4:66C2^2128,2167
C22.D467C22 = C2×C23.36C23φ: trivial image64C2^2.D4:67C2^2128,2171
C22.D468C22 = C22.74C25φ: trivial image32C2^2.D4:68C2^2128,2217

Non-split extensions G=N.Q with N=C22.D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C22.D4.1C22 = C24.36D4φ: C22/C1C22 ⊆ Out C22.D4168+C2^2.D4.1C2^2128,853
C22.D4.2C22 = C23.(C2×D4)φ: C22/C1C22 ⊆ Out C22.D4328-C2^2.D4.2C2^2128,855
C22.D4.3C22 = C424D4φ: C22/C1C22 ⊆ Out C22.D4164C2^2.D4.3C2^2128,929
C22.D4.4C22 = C42.13D4φ: C22/C1C22 ⊆ Out C22.D4164C2^2.D4.4C2^2128,930
C22.D4.5C22 = C426D4φ: C22/C1C22 ⊆ Out C22.D4168+C2^2.D4.5C2^2128,932
C22.D4.6C22 = C42.14D4φ: C22/C1C22 ⊆ Out C22.D4328-C2^2.D4.6C2^2128,933
C22.D4.7C22 = C22.88C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.7C2^2128,2231
C22.D4.8C22 = C22.96C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.8C2^2128,2239
C22.D4.9C22 = C22.98C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.9C2^2128,2241
C22.D4.10C22 = C22.100C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.10C2^2128,2243
C22.D4.11C22 = C22.101C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.11C2^2128,2244
C22.D4.12C22 = C22.106C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.12C2^2128,2249
C22.D4.13C22 = C22.133C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.13C2^2128,2276
C22.D4.14C22 = C22.136C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.14C2^2128,2279
C22.D4.15C22 = C22.137C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.15C2^2128,2280
C22.D4.16C22 = C22.139C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.16C2^2128,2282
C22.D4.17C22 = C22.141C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.17C2^2128,2284
C22.D4.18C22 = C22.142C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.18C2^2128,2285
C22.D4.19C22 = C22.143C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.19C2^2128,2286
C22.D4.20C22 = C22.144C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.20C2^2128,2287
C22.D4.21C22 = C22.148C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.21C2^2128,2291
C22.D4.22C22 = C22.154C25φ: C22/C1C22 ⊆ Out C22.D464C2^2.D4.22C2^2128,2297
C22.D4.23C22 = C2×C23.D4φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4.23C2^2128,851
C22.D4.24C22 = C4○C2≀C4φ: C22/C2C2 ⊆ Out C22.D4164C2^2.D4.24C2^2128,852
C22.D4.25C22 = C22.50C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.25C2^2128,2193
C22.D4.26C22 = C2×C22.46C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.26C2^2128,2202
C22.D4.27C22 = C22.69C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.27C2^2128,2212
C22.D4.28C22 = C22.71C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.28C2^2128,2214
C22.D4.29C22 = C22.75C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4.29C2^2128,2218
C22.D4.30C22 = C22.84C25φ: C22/C2C2 ⊆ Out C22.D432C2^2.D4.30C2^2128,2227
C22.D4.31C22 = C22.104C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.31C2^2128,2247
C22.D4.32C22 = C22.107C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.32C2^2128,2250
C22.D4.33C22 = C22.111C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.33C2^2128,2254
C22.D4.34C22 = C23.146C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.34C2^2128,2255
C22.D4.35C22 = C22.113C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.35C2^2128,2256
C22.D4.36C22 = C2×C22.57C24φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.36C2^2128,2260
C22.D4.37C22 = C22.120C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.37C2^2128,2263
C22.D4.38C22 = C22.146C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.38C2^2128,2289
C22.D4.39C22 = C22.152C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.39C2^2128,2295
C22.D4.40C22 = C22.156C25φ: C22/C2C2 ⊆ Out C22.D464C2^2.D4.40C2^2128,2299
C22.D4.41C22 = C22.33C25φ: trivial image32C2^2.D4.41C2^2128,2176
C22.D4.42C22 = C22.76C25φ: trivial image32C2^2.D4.42C2^2128,2219
C22.D4.43C22 = C22.82C25φ: trivial image32C2^2.D4.43C2^2128,2225
C22.D4.44C22 = C22.105C25φ: trivial image64C2^2.D4.44C2^2128,2248

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