Extensions 1→N→G→Q→1 with N=C22≀C2 and Q=C22

Direct product G=N×Q with N=C22≀C2 and Q=C22
dρLabelID
C22×C22≀C232C2^2xC2^2wrC2128,2163

Semidirect products G=N:Q with N=C22≀C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C22≀C21C22 = C24⋊C23φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2:1C2^2128,1758
C22≀C22C22 = C23.9C24φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2:2C2^2128,1759
C22≀C23C22 = C22.73C25φ: C22/C1C22 ⊆ Out C22≀C216C2^2wrC2:3C2^2128,2216
C22≀C24C22 = C22.74C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:4C2^2128,2217
C22≀C25C22 = C22.77C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:5C2^2128,2220
C22≀C26C22 = C22.79C25φ: C22/C1C22 ⊆ Out C22≀C216C2^2wrC2:6C2^2128,2222
C22≀C27C22 = C4⋊2+ 1+4φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:7C2^2128,2228
C22≀C28C22 = C22.87C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:8C2^2128,2230
C22≀C29C22 = C22.89C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:9C2^2128,2232
C22≀C210C22 = C22.102C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:10C2^2128,2245
C22≀C211C22 = C22.103C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:11C2^2128,2246
C22≀C212C22 = C22.122C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:12C2^2128,2265
C22≀C213C22 = C22.126C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:13C2^2128,2269
C22≀C214C22 = C22.129C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:14C2^2128,2272
C22≀C215C22 = C22.131C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:15C2^2128,2274
C22≀C216C22 = C22.132C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:16C2^2128,2275
C22≀C217C22 = C22.134C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:17C2^2128,2277
C22≀C218C22 = C22.135C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:18C2^2128,2278
C22≀C219C22 = C22.138C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:19C2^2128,2281
C22≀C220C22 = C22.147C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:20C2^2128,2290
C22≀C221C22 = C22.149C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:21C2^2128,2292
C22≀C222C22 = C22.157C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2:22C2^2128,2300
C22≀C223C22 = C2×C2≀C22φ: C22/C2C2 ⊆ Out C22≀C216C2^2wrC2:23C2^2128,1755
C22≀C224C22 = C23.7C24φ: C22/C2C2 ⊆ Out C22≀C2164C2^2wrC2:24C2^2128,1757
C22≀C225C22 = C2×C233D4φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:25C2^2128,2177
C22≀C226C22 = C2×C22.29C24φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:26C2^2128,2178
C22≀C227C22 = C22.38C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:27C2^2128,2181
C22≀C228C22 = C2×C22.32C24φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:28C2^2128,2182
C22≀C229C22 = C22.48C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:29C2^2128,2191
C22≀C230C22 = C2×D42φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:30C2^2128,2194
C22≀C231C22 = C2×D45D4φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:31C2^2128,2195
C22≀C232C22 = D4×C4○D4φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:32C2^2128,2200
C22≀C233C22 = C22.70C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:33C2^2128,2213
C22≀C234C22 = C22.94C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:34C2^2128,2237
C22≀C235C22 = C22.108C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:35C2^2128,2251
C22≀C236C22 = C2×C22.54C24φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:36C2^2128,2257
C22≀C237C22 = C2×C24⋊C22φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:37C2^2128,2258
C22≀C238C22 = C22.118C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:38C2^2128,2261
C22≀C239C22 = C42⋊C23φ: C22/C2C2 ⊆ Out C22≀C216C2^2wrC2:39C2^2128,2264
C22≀C240C22 = C22.123C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2:40C2^2128,2266
C22≀C241C22 = C2×C22.19C24φ: trivial image32C2^2wrC2:41C2^2128,2167

Non-split extensions G=N.Q with N=C22≀C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C22≀C2.1C22 = C24.36D4φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2.1C2^2128,853
C22≀C2.2C22 = C2≀C4⋊C2φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2.2C2^2128,854
C22≀C2.3C22 = D4≀C2φ: C22/C1C22 ⊆ Out C22≀C284+C2^2wrC2.3C2^2128,928
C22≀C2.4C22 = C424D4φ: C22/C1C22 ⊆ Out C22≀C2164C2^2wrC2.4C2^2128,929
C22≀C2.5C22 = C425D4φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2.5C2^2128,931
C22≀C2.6C22 = C426D4φ: C22/C1C22 ⊆ Out C22≀C2168+C2^2wrC2.6C2^2128,932
C22≀C2.7C22 = C22.80C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.7C2^2128,2223
C22≀C2.8C22 = C22.83C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.8C2^2128,2226
C22≀C2.9C22 = C22.97C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.9C2^2128,2240
C22≀C2.10C22 = C22.99C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.10C2^2128,2242
C22≀C2.11C22 = C22.110C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.11C2^2128,2253
C22≀C2.12C22 = C22.124C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.12C2^2128,2267
C22≀C2.13C22 = C22.125C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.13C2^2128,2268
C22≀C2.14C22 = C22.140C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.14C2^2128,2283
C22≀C2.15C22 = C22.150C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.15C2^2128,2293
C22≀C2.16C22 = C22.151C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.16C2^2128,2294
C22≀C2.17C22 = C22.153C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.17C2^2128,2296
C22≀C2.18C22 = C22.155C25φ: C22/C1C22 ⊆ Out C22≀C232C2^2wrC2.18C2^2128,2298
C22≀C2.19C22 = C2×C2≀C4φ: C22/C2C2 ⊆ Out C22≀C216C2^2wrC2.19C2^2128,850
C22≀C2.20C22 = C4○C2≀C4φ: C22/C2C2 ⊆ Out C22≀C2164C2^2wrC2.20C2^2128,852
C22≀C2.21C22 = C22.44C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.21C2^2128,2187
C22≀C2.22C22 = C22.49C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.22C2^2128,2192
C22≀C2.23C22 = C2×C22.45C24φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.23C2^2128,2201
C22≀C2.24C22 = C22.64C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.24C2^2128,2207
C22≀C2.25C22 = C22.76C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.25C2^2128,2219
C22≀C2.26C22 = C22.78C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.26C2^2128,2221
C22≀C2.27C22 = C22.82C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.27C2^2128,2225
C22≀C2.28C22 = C22.84C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.28C2^2128,2227
C22≀C2.29C22 = C22.95C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.29C2^2128,2238
C22≀C2.30C22 = C23.144C24φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.30C2^2128,2252
C22≀C2.31C22 = C22.127C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.31C2^2128,2270
C22≀C2.32C22 = C22.128C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.32C2^2128,2271
C22≀C2.33C22 = C22.130C25φ: C22/C2C2 ⊆ Out C22≀C232C2^2wrC2.33C2^2128,2273
C22≀C2.34C22 = C22.33C25φ: trivial image32C2^2wrC2.34C2^2128,2176
C22≀C2.35C22 = C22.75C25φ: trivial image32C2^2wrC2.35C2^2128,2218
C22≀C2.36C22 = C22.81C25φ: trivial image32C2^2wrC2.36C2^2128,2224

׿
×
𝔽