# Extensions 1→N→G→Q→1 with N=C22⋊C4 and Q=C23

Direct product G=N×Q with N=C22⋊C4 and Q=C23
dρLabelID
C23×C22⋊C464C2^3xC2^2:C4128,2151

Semidirect products G=N:Q with N=C22⋊C4 and Q=C23
extensionφ:Q→Out NdρLabelID
C22⋊C41C23 = C2×C2≀C22φ: C23/C2C22 ⊆ Out C22⋊C416C2^2:C4:1C2^3128,1755
C22⋊C42C23 = C2×C23.7D4φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:2C2^3128,1756
C22⋊C43C23 = C24⋊C23φ: C23/C2C22 ⊆ Out C22⋊C4168+C2^2:C4:3C2^3128,1758
C22⋊C44C23 = C2×C233D4φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:4C2^3128,2177
C22⋊C45C23 = C2×C22.29C24φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:5C2^3128,2178
C22⋊C46C23 = C2×C22.32C24φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:6C2^3128,2182
C22⋊C47C23 = C2×D42φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:7C2^3128,2194
C22⋊C48C23 = C2×C22.45C24φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:8C2^3128,2201
C22⋊C49C23 = C22.73C25φ: C23/C2C22 ⊆ Out C22⋊C416C2^2:C4:9C2^3128,2216
C22⋊C410C23 = C2×C22.54C24φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:10C2^3128,2257
C22⋊C411C23 = C2×C24⋊C22φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4:11C2^3128,2258
C22⋊C412C23 = C42⋊C23φ: C23/C2C22 ⊆ Out C22⋊C416C2^2:C4:12C2^3128,2264
C22⋊C413C23 = C22×C23⋊C4φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4:13C2^3128,1613
C22⋊C414C23 = C22×C22≀C2φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4:14C2^3128,2163
C22⋊C415C23 = C22×C4⋊D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4:15C2^3128,2164
C22⋊C416C23 = C22×C22.D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4:16C2^3128,2166
C22⋊C417C23 = C2×C22.19C24φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4:17C2^3128,2167
C22⋊C418C23 = C22×C4.4D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4:18C2^3128,2168
C22⋊C419C23 = C2×D45D4φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4:19C2^3128,2195
C22⋊C420C23 = C22.79C25φ: C23/C22C2 ⊆ Out C22⋊C416C2^2:C4:20C2^3128,2222
C22⋊C421C23 = D4×C22×C4φ: trivial image64C2^2:C4:21C2^3128,2154
C22⋊C422C23 = C2×C22.11C24φ: trivial image32C2^2:C4:22C2^3128,2157

Non-split extensions G=N.Q with N=C22⋊C4 and Q=C23
extensionφ:Q→Out NdρLabelID
C22⋊C4.1C23 = C23.7C24φ: C23/C2C22 ⊆ Out C22⋊C4164C2^2:C4.1C2^3128,1757
C22⋊C4.2C23 = C23.9C24φ: C23/C2C22 ⊆ Out C22⋊C4168+C2^2:C4.2C2^3128,1759
C22⋊C4.3C23 = C23.10C24φ: C23/C2C22 ⊆ Out C22⋊C4328-C2^2:C4.3C2^3128,1760
C22⋊C4.4C23 = C2×C23.38C23φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.4C2^3128,2179
C22⋊C4.5C23 = C2×C22.31C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.5C2^3128,2180
C22⋊C4.6C23 = C22.38C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.6C2^3128,2181
C22⋊C4.7C23 = C2×C22.33C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.7C2^3128,2183
C22⋊C4.8C23 = C2×C22.34C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.8C2^3128,2184
C22⋊C4.9C23 = C2×C22.35C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.9C2^3128,2185
C22⋊C4.10C23 = C2×C22.36C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.10C2^3128,2186
C22⋊C4.11C23 = C22.44C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.11C2^3128,2187
C22⋊C4.12C23 = C2×D46D4φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.12C2^3128,2196
C22⋊C4.13C23 = D4×C4○D4φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.13C2^3128,2200
C22⋊C4.14C23 = C2×C22.46C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.14C2^3128,2202
C22⋊C4.15C23 = C22.74C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.15C2^3128,2217
C22⋊C4.16C23 = C22.75C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.16C2^3128,2218
C22⋊C4.17C23 = C22.77C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.17C2^3128,2220
C22⋊C4.18C23 = C22.78C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.18C2^3128,2221
C22⋊C4.19C23 = C22.84C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.19C2^3128,2227
C22⋊C4.20C23 = C4⋊2+ 1+4φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.20C2^3128,2228
C22⋊C4.21C23 = C4⋊2- 1+4φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.21C2^3128,2229
C22⋊C4.22C23 = C22.87C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.22C2^3128,2230
C22⋊C4.23C23 = C22.88C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.23C2^3128,2231
C22⋊C4.24C23 = C22.89C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.24C2^3128,2232
C22⋊C4.25C23 = C22.98C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.25C2^3128,2241
C22⋊C4.26C23 = C22.102C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.26C2^3128,2245
C22⋊C4.27C23 = C22.103C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.27C2^3128,2246
C22⋊C4.28C23 = C22.104C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.28C2^3128,2247
C22⋊C4.29C23 = C22.105C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.29C2^3128,2248
C22⋊C4.30C23 = C22.107C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.30C2^3128,2250
C22⋊C4.31C23 = C22.108C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.31C2^3128,2251
C22⋊C4.32C23 = C23.144C24φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.32C2^3128,2252
C22⋊C4.33C23 = C22.110C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.33C2^3128,2253
C22⋊C4.34C23 = C22.111C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.34C2^3128,2254
C22⋊C4.35C23 = C23.146C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.35C2^3128,2255
C22⋊C4.36C23 = C2×C22.56C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.36C2^3128,2259
C22⋊C4.37C23 = C2×C22.57C24φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.37C2^3128,2260
C22⋊C4.38C23 = C22.118C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.38C2^3128,2261
C22⋊C4.39C23 = C22.120C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.39C2^3128,2263
C22⋊C4.40C23 = C22.122C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.40C2^3128,2265
C22⋊C4.41C23 = C22.123C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.41C2^3128,2266
C22⋊C4.42C23 = C22.124C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.42C2^3128,2267
C22⋊C4.43C23 = C22.125C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.43C2^3128,2268
C22⋊C4.44C23 = C22.126C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.44C2^3128,2269
C22⋊C4.45C23 = C22.128C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.45C2^3128,2271
C22⋊C4.46C23 = C22.130C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.46C2^3128,2273
C22⋊C4.47C23 = C22.132C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.47C2^3128,2275
C22⋊C4.48C23 = C22.133C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.48C2^3128,2276
C22⋊C4.49C23 = C22.134C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.49C2^3128,2277
C22⋊C4.50C23 = C22.135C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.50C2^3128,2278
C22⋊C4.51C23 = C22.136C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.51C2^3128,2279
C22⋊C4.52C23 = C22.137C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.52C2^3128,2280
C22⋊C4.53C23 = C22.138C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.53C2^3128,2281
C22⋊C4.54C23 = C22.139C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.54C2^3128,2282
C22⋊C4.55C23 = C22.141C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.55C2^3128,2284
C22⋊C4.56C23 = C22.142C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.56C2^3128,2285
C22⋊C4.57C23 = C22.143C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.57C2^3128,2286
C22⋊C4.58C23 = C22.144C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.58C2^3128,2287
C22⋊C4.59C23 = C22.145C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.59C2^3128,2288
C22⋊C4.60C23 = C22.146C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.60C2^3128,2289
C22⋊C4.61C23 = C22.149C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.61C2^3128,2292
C22⋊C4.62C23 = C22.150C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.62C2^3128,2293
C22⋊C4.63C23 = C22.153C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.63C2^3128,2296
C22⋊C4.64C23 = C22.154C25φ: C23/C2C22 ⊆ Out C22⋊C464C2^2:C4.64C2^3128,2297
C22⋊C4.65C23 = C22.157C25φ: C23/C2C22 ⊆ Out C22⋊C432C2^2:C4.65C2^3128,2300
C22⋊C4.66C23 = C2×C23.C23φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.66C2^3128,1614
C22⋊C4.67C23 = C23.C24φ: C23/C22C2 ⊆ Out C22⋊C4168+C2^2:C4.67C2^3128,1615
C22⋊C4.68C23 = C23.4C24φ: C23/C22C2 ⊆ Out C22⋊C4328-C2^2:C4.68C2^3128,1616
C22⋊C4.69C23 = C22×C22⋊Q8φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.69C2^3128,2165
C22⋊C4.70C23 = C22×C422C2φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.70C2^3128,2170
C22⋊C4.71C23 = C2×C23.36C23φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.71C2^3128,2171
C22⋊C4.72C23 = C2×C22.26C24φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.72C2^3128,2174
C22⋊C4.73C23 = C2×C23.37C23φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.73C2^3128,2175
C22⋊C4.74C23 = C22.33C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.74C2^3128,2176
C22⋊C4.75C23 = C2×C232Q8φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.75C2^3128,2188
C22⋊C4.76C23 = C2×C23.41C23φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.76C2^3128,2189
C22⋊C4.77C23 = C22.47C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.77C2^3128,2190
C22⋊C4.78C23 = C22.48C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.78C2^3128,2191
C22⋊C4.79C23 = C22.49C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.79C2^3128,2192
C22⋊C4.80C23 = C22.50C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.80C2^3128,2193
C22⋊C4.81C23 = C2×Q85D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.81C2^3128,2197
C22⋊C4.82C23 = C2×D4×Q8φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.82C2^3128,2198
C22⋊C4.83C23 = C2×Q86D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.83C2^3128,2199
C22⋊C4.84C23 = C2×C22.47C24φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.84C2^3128,2203
C22⋊C4.85C23 = C2×D43Q8φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.85C2^3128,2204
C22⋊C4.86C23 = C2×C22.49C24φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.86C2^3128,2205
C22⋊C4.87C23 = C2×C22.50C24φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.87C2^3128,2206
C22⋊C4.88C23 = C22.64C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.88C2^3128,2207
C22⋊C4.89C23 = Q8×C4○D4φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.89C2^3128,2210
C22⋊C4.90C23 = C2×C22.53C24φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.90C2^3128,2211
C22⋊C4.91C23 = C22.69C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.91C2^3128,2212
C22⋊C4.92C23 = C22.70C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.92C2^3128,2213
C22⋊C4.93C23 = C22.71C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.93C2^3128,2214
C22⋊C4.94C23 = C22.72C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.94C2^3128,2215
C22⋊C4.95C23 = C22.76C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.95C2^3128,2219
C22⋊C4.96C23 = C22.80C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.96C2^3128,2223
C22⋊C4.97C23 = C22.81C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.97C2^3128,2224
C22⋊C4.98C23 = C22.82C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.98C2^3128,2225
C22⋊C4.99C23 = C22.83C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.99C2^3128,2226
C22⋊C4.100C23 = C22.90C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.100C2^3128,2233
C22⋊C4.101C23 = C22.91C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.101C2^3128,2234
C22⋊C4.102C23 = C22.92C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.102C2^3128,2235
C22⋊C4.103C23 = C22.93C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.103C2^3128,2236
C22⋊C4.104C23 = C22.94C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.104C2^3128,2237
C22⋊C4.105C23 = C22.95C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.105C2^3128,2238
C22⋊C4.106C23 = C22.96C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.106C2^3128,2239
C22⋊C4.107C23 = C22.97C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.107C2^3128,2240
C22⋊C4.108C23 = C22.99C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.108C2^3128,2242
C22⋊C4.109C23 = C22.100C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.109C2^3128,2243
C22⋊C4.110C23 = C22.101C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.110C2^3128,2244
C22⋊C4.111C23 = C22.106C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.111C2^3128,2249
C22⋊C4.112C23 = C22.113C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.112C2^3128,2256
C22⋊C4.113C23 = C22.127C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.113C2^3128,2270
C22⋊C4.114C23 = C22.129C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.114C2^3128,2272
C22⋊C4.115C23 = C22.131C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.115C2^3128,2274
C22⋊C4.116C23 = C22.140C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.116C2^3128,2283
C22⋊C4.117C23 = C22.147C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.117C2^3128,2290
C22⋊C4.118C23 = C22.148C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.118C2^3128,2291
C22⋊C4.119C23 = C22.151C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.119C2^3128,2294
C22⋊C4.120C23 = C22.152C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.120C2^3128,2295
C22⋊C4.121C23 = C22.155C25φ: C23/C22C2 ⊆ Out C22⋊C432C2^2:C4.121C2^3128,2298
C22⋊C4.122C23 = C22.156C25φ: C23/C22C2 ⊆ Out C22⋊C464C2^2:C4.122C2^3128,2299
C22⋊C4.123C23 = C22×C42⋊C2φ: trivial image64C2^2:C4.123C2^3128,2153
C22⋊C4.124C23 = C2×C4×C4○D4φ: trivial image64C2^2:C4.124C2^3128,2156
C22⋊C4.125C23 = C2×C23.32C23φ: trivial image64C2^2:C4.125C2^3128,2158
C22⋊C4.126C23 = C2×C23.33C23φ: trivial image64C2^2:C4.126C2^3128,2159
C22⋊C4.127C23 = C22.14C25φ: trivial image32C2^2:C4.127C2^3128,2160
C22⋊C4.128C23 = C4×2+ 1+4φ: trivial image32C2^2:C4.128C2^3128,2161
C22⋊C4.129C23 = C4×2- 1+4φ: trivial image64C2^2:C4.129C2^3128,2162

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