Extensions 1→N→G→Q→1 with N=C22.36C24 and Q=C2

Direct product G=N×Q with N=C22.36C24 and Q=C2
dρLabelID
C2×C22.36C2464C2xC2^2.36C2^4128,2186

Semidirect products G=N:Q with N=C22.36C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.36C241C2 = C42.352C23φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:1C2128,1850
C22.36C242C2 = C42.358C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:2C2128,1856
C22.36C243C2 = C42.359C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:3C2128,1857
C22.36C244C2 = C42.385C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:4C2128,1905
C22.36C245C2 = C42.387C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:5C2128,1907
C22.36C246C2 = C42.391C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:6C2128,1911
C22.36C247C2 = C42.410C23φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:7C2128,1956
C22.36C248C2 = C42.411C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:8C2128,1957
C22.36C249C2 = C4.2- 1+4φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:9C2128,1989
C22.36C2410C2 = C42.29C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:10C2128,1994
C22.36C2411C2 = C42.30C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:11C2128,1995
C22.36C2412C2 = C22.83C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:12C2128,2226
C22.36C2413C2 = C22.84C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:13C2128,2227
C22.36C2414C2 = C22.99C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:14C2128,2242
C22.36C2415C2 = C22.100C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:15C2128,2243
C22.36C2416C2 = C22.102C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:16C2128,2245
C22.36C2417C2 = C22.103C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:17C2128,2246
C22.36C2418C2 = C22.105C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:18C2128,2248
C22.36C2419C2 = C22.107C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:19C2128,2250
C22.36C2420C2 = C23.144C24φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:20C2128,2252
C22.36C2421C2 = C22.110C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:21C2128,2253
C22.36C2422C2 = C22.111C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:22C2128,2254
C22.36C2423C2 = C22.113C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:23C2128,2256
C22.36C2424C2 = C22.122C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:24C2128,2265
C22.36C2425C2 = C22.124C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:25C2128,2267
C22.36C2426C2 = C22.125C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:26C2128,2268
C22.36C2427C2 = C22.129C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:27C2128,2272
C22.36C2428C2 = C22.130C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:28C2128,2273
C22.36C2429C2 = C22.131C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:29C2128,2274
C22.36C2430C2 = C22.133C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:30C2128,2276
C22.36C2431C2 = C22.134C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:31C2128,2277
C22.36C2432C2 = C22.135C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:32C2128,2278
C22.36C2433C2 = C22.136C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:33C2128,2279
C22.36C2434C2 = C22.139C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:34C2128,2282
C22.36C2435C2 = C22.141C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:35C2128,2284
C22.36C2436C2 = C22.143C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:36C2128,2286
C22.36C2437C2 = C22.146C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:37C2128,2289
C22.36C2438C2 = C22.147C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:38C2128,2290
C22.36C2439C2 = C22.149C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:39C2128,2292
C22.36C2440C2 = C22.150C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:40C2128,2293
C22.36C2441C2 = C22.153C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:41C2128,2296
C22.36C2442C2 = C22.154C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4:42C2128,2297
C22.36C2443C2 = C22.155C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:43C2128,2298
C22.36C2444C2 = C22.157C25φ: C2/C1C2 ⊆ Out C22.36C2432C2^2.36C2^4:44C2128,2300
C22.36C2445C2 = C22.44C25φ: trivial image32C2^2.36C2^4:45C2128,2187
C22.36C2446C2 = C22.49C25φ: trivial image32C2^2.36C2^4:46C2128,2192
C22.36C2447C2 = C22.50C25φ: trivial image64C2^2.36C2^4:47C2128,2193

Non-split extensions G=N.Q with N=C22.36C24 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.36C24.1C2 = C42.355C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.1C2128,1853
C22.36C24.2C2 = C42.390C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.2C2128,1910
C22.36C24.3C2 = C42.425C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.3C2128,1975
C22.36C24.4C2 = C42.426C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.4C2128,1976
C22.36C24.5C2 = C42.25C23φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.5C2128,1990
C22.36C24.6C2 = C22.144C25φ: C2/C1C2 ⊆ Out C22.36C2464C2^2.36C2^4.6C2128,2287

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