Extensions 1→N→G→Q→1 with N=C23.37C23 and Q=C2

Direct product G=NxQ with N=C23.37C23 and Q=C2
dρLabelID
C2xC23.37C2364C2xC2^3.37C2^3128,2175

Semidirect products G=N:Q with N=C23.37C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.37C23:1C2 = C42.8D4φ: C2/C1C2 ⊆ Out C23.37C23164C2^3.37C2^3:1C2128,763
C23.37C23:2C2 = C42.447D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:2C2128,1808
C23.37C23:3C2 = C42.219D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:3C2128,1809
C23.37C23:4C2 = C42.222D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:4C2128,1833
C23.37C23:5C2 = C42.451D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:5C2128,1839
C23.37C23:6C2 = C42.228D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:6C2128,1842
C23.37C23:7C2 = C42.234D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:7C2128,1848
C23.37C23:8C2 = C42.355D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:8C2128,1863
C23.37C23:9C2 = C42.239D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:9C2128,1867
C23.37C23:10C2 = C42.240D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:10C2128,1870
C23.37C23:11C2 = C42.242D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:11C2128,1872
C23.37C23:12C2 = C42.365D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:12C2128,1899
C23.37C23:13C2 = C42.256D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:13C2128,1904
C23.37C23:14C2 = C42.258D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:14C2128,1913
C23.37C23:15C2 = C42.259D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:15C2128,1914
C23.37C23:16C2 = C42.266D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:16C2128,1940
C23.37C23:17C2 = C42.268D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:17C2128,1942
C23.37C23:18C2 = C42.273D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:18C2128,1947
C23.37C23:19C2 = C42.274D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:19C2128,1948
C23.37C23:20C2 = C42.280D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:20C2128,1960
C23.37C23:21C2 = C42.285D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:21C2128,1965
C23.37C23:22C2 = C42.287D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:22C2128,1967
C23.37C23:23C2 = C42.292D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:23C2128,1972
C23.37C23:24C2 = C42.294D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:24C2128,1978
C23.37C23:25C2 = C42.296D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:25C2128,1980
C23.37C23:26C2 = C42.300D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:26C2128,1984
C23.37C23:27C2 = C42.302D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:27C2128,1986
C23.37C23:28C2 = C22.44C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:28C2128,2187
C23.37C23:29C2 = C22.47C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:29C2128,2190
C23.37C23:30C2 = C22.50C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:30C2128,2193
C23.37C23:31C2 = C22.64C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:31C2128,2207
C23.37C23:32C2 = Q8xC4oD4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:32C2128,2210
C23.37C23:33C2 = C22.71C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:33C2128,2214
C23.37C23:34C2 = C22.84C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:34C2128,2227
C23.37C23:35C2 = C22.90C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:35C2128,2233
C23.37C23:36C2 = C22.92C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:36C2128,2235
C23.37C23:37C2 = C22.93C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:37C2128,2236
C23.37C23:38C2 = C22.95C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:38C2128,2238
C23.37C23:39C2 = C22.96C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:39C2128,2239
C23.37C23:40C2 = C22.97C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:40C2128,2240
C23.37C23:41C2 = C22.98C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:41C2128,2241
C23.37C23:42C2 = C22.99C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:42C2128,2242
C23.37C23:43C2 = C22.100C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:43C2128,2243
C23.37C23:44C2 = C22.104C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:44C2128,2247
C23.37C23:45C2 = C22.107C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:45C2128,2250
C23.37C23:46C2 = C23.144C24φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:46C2128,2252
C23.37C23:47C2 = C23.146C24φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:47C2128,2255
C23.37C23:48C2 = C22.120C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:48C2128,2263
C23.37C23:49C2 = C22.136C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:49C2128,2279
C23.37C23:50C2 = C22.137C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:50C2128,2280
C23.37C23:51C2 = C22.139C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:51C2128,2282
C23.37C23:52C2 = C22.143C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:52C2128,2286
C23.37C23:53C2 = C22.144C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:53C2128,2287
C23.37C23:54C2 = C22.146C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:54C2128,2289
C23.37C23:55C2 = C22.150C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:55C2128,2293
C23.37C23:56C2 = C22.152C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:56C2128,2295
C23.37C23:57C2 = C22.153C25φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3:57C2128,2296
C23.37C23:58C2 = C22.154C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3:58C2128,2297
C23.37C23:59C2 = C22.33C25φ: trivial image32C2^3.37C2^3:59C2128,2176

Non-split extensions G=N.Q with N=C23.37C23 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.37C23.1C2 = C42.46D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.1C2128,213
C23.37C23.2C2 = C42.401D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.2C2128,217
C23.37C23.3C2 = C42.316D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.3C2128,225
C23.37C23.4C2 = C42.54D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.4C2128,229
C23.37C23.5C2 = C42.404D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.5C2128,235
C23.37C23.6C2 = C42.56D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.6C2128,238
C23.37C23.7C2 = C42.60D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.7C2128,247
C23.37C23.8C2 = C42.62D4φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.8C2128,250
C23.37C23.9C2 = C42.406D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.9C2128,258
C23.37C23.10C2 = C42.68D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.10C2128,263
C23.37C23.11C2 = C42.74D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.11C2128,269
C23.37C23.12C2 = C42.410D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.12C2128,274
C23.37C23.13C2 = C42.412D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.13C2128,276
C23.37C23.14C2 = C42.79D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.14C2128,282
C23.37C23.15C2 = C42.81D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.15C2128,284
C23.37C23.16C2 = C42.418D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.16C2128,286
C23.37C23.17C2 = C42.86D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.17C2128,291
C23.37C23.18C2 = C42.88D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.18C2128,293
C23.37C23.19C2 = M4(2):7Q8φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.19C2128,718
C23.37C23.20C2 = C42:16Q8φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.20C2128,726
C23.37C23.21C2 = C42:Q8φ: C2/C1C2 ⊆ Out C23.37C2332C2^3.37C2^3.21C2128,727
C23.37C23.22C2 = C42.287C23φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.22C2128,1693
C23.37C23.23C2 = M4(2):9Q8φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.23C2128,1694
C23.37C23.24C2 = C42.696C23φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.24C2128,1717
C23.37C23.25C2 = C42.304C23φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.25C2128,1718
C23.37C23.26C2 = C42.305C23φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.26C2128,1719
C23.37C23.27C2 = C42.220D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.27C2128,1810
C23.37C23.28C2 = C42.224D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.28C2128,1836
C23.37C23.29C2 = C42.231D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.29C2128,1845
C23.37C23.30C2 = C42.241D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.30C2128,1871
C23.37C23.31C2 = C42.364D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.31C2128,1892
C23.37C23.32C2 = C42.252D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.32C2128,1894
C23.37C23.33C2 = M4(2):5Q8φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.33C2128,1897
C23.37C23.34C2 = M4(2):6Q8φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.34C2128,1898
C23.37C23.35C2 = C42.367D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.35C2128,1902
C23.37C23.36C2 = C42.262D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.36C2128,1917
C23.37C23.37C2 = C42.267D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.37C2128,1941
C23.37C23.38C2 = C42.281D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.38C2128,1961
C23.37C23.39C2 = C42.282D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.39C2128,1962
C23.37C23.40C2 = C42.283D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.40C2128,1963
C23.37C23.41C2 = C42.288D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.41C2128,1968
C23.37C23.42C2 = C42.289D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.42C2128,1969
C23.37C23.43C2 = C42.297D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.43C2128,1981
C23.37C23.44C2 = C42.303D4φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.44C2128,1987
C23.37C23.45C2 = C22.91C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.45C2128,2234
C23.37C23.46C2 = C22.145C25φ: C2/C1C2 ⊆ Out C23.37C2364C2^3.37C2^3.46C2128,2288
C23.37C23.47C2 = C42.286C23φ: trivial image64C2^3.37C2^3.47C2128,1692

׿
x
:
Z
F
o
wr
Q
<