Extensions 1→N→G→Q→1 with N=C42.C2 and Q=C22

Direct product G=N×Q with N=C42.C2 and Q=C22
dρLabelID
C22×C42.C2128C2^2xC4^2.C2128,2169

Semidirect products G=N:Q with N=C42.C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C42.C21C22 = C42.20C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:1C2^2128,1813
C42.C22C22 = C42.356C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:2C2^2128,1854
C42.C23C22 = C42.357C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:3C2^2128,1855
C42.C24C22 = C42.366C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:4C2^2128,1868
C42.C25C22 = C42.406C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:5C2^2128,1952
C42.C26C22 = C42.408C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:6C2^2128,1954
C42.C27C22 = C42.461C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:7C2^2128,2028
C42.C28C22 = C42.462C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:8C2^2128,2029
C42.C29C22 = C42.45C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:9C2^2128,2042
C42.C210C22 = C42.53C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:10C2^2128,2050
C42.C211C22 = C42.471C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:11C2^2128,2054
C42.C212C22 = C42.472C23φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:12C2^2128,2055
C42.C213C22 = C22.81C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:13C2^2128,2224
C42.C214C22 = C22.84C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:14C2^2128,2227
C42.C215C22 = C22.90C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:15C2^2128,2233
C42.C216C22 = C22.122C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:16C2^2128,2265
C42.C217C22 = C22.123C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:17C2^2128,2266
C42.C218C22 = C22.124C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:18C2^2128,2267
C42.C219C22 = C22.125C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:19C2^2128,2268
C42.C220C22 = C22.126C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:20C2^2128,2269
C42.C221C22 = C22.127C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:21C2^2128,2270
C42.C222C22 = C22.128C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:22C2^2128,2271
C42.C223C22 = C22.130C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:23C2^2128,2273
C42.C224C22 = C22.131C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:24C2^2128,2274
C42.C225C22 = C22.140C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:25C2^2128,2283
C42.C226C22 = C22.149C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:26C2^2128,2292
C42.C227C22 = C22.151C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:27C2^2128,2294
C42.C228C22 = C22.155C25φ: C22/C1C22 ⊆ Out C42.C232C4^2.C2:28C2^2128,2298
C42.C229C22 = C2×D4.Q8φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:29C2^2128,1804
C42.C230C22 = C42.219D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:30C2^2128,1809
C42.C231C22 = C42.225D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:31C2^2128,1837
C42.C232C22 = C42.232D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:32C2^2128,1846
C42.C233C22 = C2×C42.78C22φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:33C2^2128,1862
C42.C234C22 = C2×C42.29C22φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:34C2^2128,1865
C42.C235C22 = C42.240D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:35C2^2128,1870
C42.C236C22 = C42.242D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:36C2^2128,1872
C42.C237C22 = C42.269D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:37C2^2128,1943
C42.C238C22 = C42.275D4φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:38C2^2128,1949
C42.C239C22 = C2×C22.33C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:39C2^2128,2183
C42.C240C22 = C2×C22.34C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:40C2^2128,2184
C42.C241C22 = C2×C22.35C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:41C2^2128,2185
C42.C242C22 = C22.44C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:42C2^2128,2187
C42.C243C22 = C2×C23.41C23φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:43C2^2128,2189
C42.C244C22 = C22.47C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:44C2^2128,2190
C42.C245C22 = C22.48C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:45C2^2128,2191
C42.C246C22 = C22.49C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:46C2^2128,2192
C42.C247C22 = C2×C22.46C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:47C2^2128,2202
C42.C248C22 = C2×C22.47C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:48C2^2128,2203
C42.C249C22 = C2×D43Q8φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:49C2^2128,2204
C42.C250C22 = C22.64C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:50C2^2128,2207
C42.C251C22 = C22.70C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:51C2^2128,2213
C42.C252C22 = C22.80C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:52C2^2128,2223
C42.C253C22 = C22.82C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:53C2^2128,2225
C42.C254C22 = C22.83C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:54C2^2128,2226
C42.C255C22 = C22.94C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:55C2^2128,2237
C42.C256C22 = C22.95C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:56C2^2128,2238
C42.C257C22 = C22.97C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:57C2^2128,2240
C42.C258C22 = C22.102C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:58C2^2128,2245
C42.C259C22 = C22.108C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:59C2^2128,2251
C42.C260C22 = C23.144C24φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:60C2^2128,2252
C42.C261C22 = C22.110C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:61C2^2128,2253
C42.C262C22 = C2×C22.56C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:62C2^2128,2259
C42.C263C22 = C2×C22.57C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2:63C2^2128,2260
C42.C264C22 = C22.118C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:64C2^2128,2261
C42.C265C22 = C22.132C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:65C2^2128,2275
C42.C266C22 = C22.134C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:66C2^2128,2277
C42.C267C22 = C22.135C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:67C2^2128,2278
C42.C268C22 = C22.147C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:68C2^2128,2290
C42.C269C22 = C22.150C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:69C2^2128,2293
C42.C270C22 = C22.153C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:70C2^2128,2296
C42.C271C22 = C22.157C25φ: C22/C2C2 ⊆ Out C42.C232C4^2.C2:71C2^2128,2300
C42.C272C22 = C2×C23.36C23φ: trivial image64C4^2.C2:72C2^2128,2171
C42.C273C22 = C2×C23.37C23φ: trivial image64C4^2.C2:73C2^2128,2175
C42.C274C22 = C22.33C25φ: trivial image32C4^2.C2:74C2^2128,2176
C42.C275C22 = C22.99C25φ: trivial image32C4^2.C2:75C2^2128,2242
C42.C276C22 = C22.103C25φ: trivial image32C4^2.C2:76C2^2128,2246

Non-split extensions G=N.Q with N=C42.C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C42.C2.1C22 = C42.2C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.1C2^2128,388
C42.C2.2C22 = C42.3C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.2C2^2128,389
C42.C2.3C22 = C42.4C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.3C2^2128,390
C42.C2.4C22 = C42.6C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.4C2^2128,392
C42.C2.5C22 = C42.7C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.5C2^2128,393
C42.C2.6C22 = C42.8C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.6C2^2128,394
C42.C2.7C22 = C42.9C23φ: C22/C1C22 ⊆ Out C42.C2128C4^2.C2.7C2^2128,395
C42.C2.8C22 = C42.10C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.8C2^2128,396
C42.C2.9C22 = C42.21C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.9C2^2128,1814
C42.C2.10C22 = C42.22C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.10C2^2128,1815
C42.C2.11C22 = C42.23C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.11C2^2128,1816
C42.C2.12C22 = C42.353C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.12C2^2128,1851
C42.C2.13C22 = C42.354C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.13C2^2128,1852
C42.C2.14C22 = C42.360C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.14C2^2128,1858
C42.C2.15C22 = C42.361C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.15C2^2128,1859
C42.C2.16C22 = C42.367C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.16C2^2128,1869
C42.C2.17C22 = M4(2)⋊3Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.17C2^2128,1895
C42.C2.18C22 = M4(2)⋊4Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.18C2^2128,1896
C42.C2.19C22 = C42.386C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.19C2^2128,1906
C42.C2.20C22 = C42.388C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.20C2^2128,1908
C42.C2.21C22 = C42.389C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.21C2^2128,1909
C42.C2.22C22 = C42.390C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.22C2^2128,1910
C42.C2.23C22 = C42.391C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.23C2^2128,1911
C42.C2.24C22 = C42.407C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.24C2^2128,1953
C42.C2.25C22 = C42.409C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.25C2^2128,1955
C42.C2.26C22 = C42.423C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.26C2^2128,1973
C42.C2.27C22 = C42.424C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.27C2^2128,1974
C42.C2.28C22 = C42.425C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.28C2^2128,1975
C42.C2.29C22 = C42.426C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.29C2^2128,1976
C42.C2.30C22 = C4.2- 1+4φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.30C2^2128,1989
C42.C2.31C22 = C42.25C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.31C2^2128,1990
C42.C2.32C22 = C42.26C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.32C2^2128,1991
C42.C2.33C22 = C42.27C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.33C2^2128,1992
C42.C2.34C22 = C42.28C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.34C2^2128,1993
C42.C2.35C22 = C42.465C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.35C2^2128,2032
C42.C2.36C22 = C42.466C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.36C2^2128,2033
C42.C2.37C22 = C42.42C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.37C2^2128,2039
C42.C2.38C22 = C42.44C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.38C2^2128,2041
C42.C2.39C22 = C42.47C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.39C2^2128,2044
C42.C2.40C22 = C42.50C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.40C2^2128,2047
C42.C2.41C22 = C42.52C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.41C2^2128,2049
C42.C2.42C22 = C42.55C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.42C2^2128,2052
C42.C2.43C22 = C42.475C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.43C2^2128,2058
C42.C2.44C22 = C42.476C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.44C2^2128,2059
C42.C2.45C22 = C42.485C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.45C2^2128,2068
C42.C2.46C22 = C42.486C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.46C2^2128,2069
C42.C2.47C22 = C42.488C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.47C2^2128,2071
C42.C2.48C22 = C42.57C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.48C2^2128,2075
C42.C2.49C22 = C42.58C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.49C2^2128,2076
C42.C2.50C22 = C42.59C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.50C2^2128,2077
C42.C2.51C22 = C42.60C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.51C2^2128,2078
C42.C2.52C22 = C42.61C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.52C2^2128,2079
C42.C2.53C22 = C42.62C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.53C2^2128,2080
C42.C2.54C22 = C42.63C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.54C2^2128,2081
C42.C2.55C22 = C42.64C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.55C2^2128,2082
C42.C2.56C22 = C42.492C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.56C2^2128,2083
C42.C2.57C22 = C42.493C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.57C2^2128,2084
C42.C2.58C22 = C42.496C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.58C2^2128,2087
C42.C2.59C22 = C42.501C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.59C2^2128,2092
C42.C2.60C22 = C42.502C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.60C2^2128,2093
C42.C2.61C22 = C42.505C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.61C2^2128,2096
C42.C2.62C22 = C42.506C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.62C2^2128,2097
C42.C2.63C22 = C42.507C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.63C2^2128,2098
C42.C2.64C22 = C42.509C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.64C2^2128,2100
C42.C2.65C22 = C42.511C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.65C2^2128,2102
C42.C2.66C22 = C42.512C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.66C2^2128,2103
C42.C2.67C22 = C42.513C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.67C2^2128,2104
C42.C2.68C22 = C42.515C23φ: C22/C1C22 ⊆ Out C42.C2128C4^2.C2.68C2^2128,2106
C42.C2.69C22 = C42.517C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.69C2^2128,2108
C42.C2.70C22 = C42.518C23φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.70C2^2128,2109
C42.C2.71C22 = D86Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.71C2^2128,2112
C42.C2.72C22 = SD164Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.72C2^2128,2113
C42.C2.73C22 = Q166Q8φ: C22/C1C22 ⊆ Out C42.C2128C4^2.C2.73C2^2128,2115
C42.C2.74C22 = D84Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.74C2^2128,2116
C42.C2.75C22 = SD16⋊Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.75C2^2128,2117
C42.C2.76C22 = SD162Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.76C2^2128,2118
C42.C2.77C22 = Q164Q8φ: C22/C1C22 ⊆ Out C42.C2128C4^2.C2.77C2^2128,2119
C42.C2.78C22 = SD163Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.78C2^2128,2120
C42.C2.79C22 = D85Q8φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.79C2^2128,2121
C42.C2.80C22 = Q165Q8φ: C22/C1C22 ⊆ Out C42.C2128C4^2.C2.80C2^2128,2122
C42.C2.81C22 = C22.91C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.81C2^2128,2234
C42.C2.82C22 = C22.98C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.82C2^2128,2241
C42.C2.83C22 = C22.106C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.83C2^2128,2249
C42.C2.84C22 = C22.137C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.84C2^2128,2280
C42.C2.85C22 = C22.143C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.85C2^2128,2286
C42.C2.86C22 = C22.144C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.86C2^2128,2287
C42.C2.87C22 = C22.145C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.87C2^2128,2288
C42.C2.88C22 = C22.152C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.88C2^2128,2295
C42.C2.89C22 = C22.154C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.89C2^2128,2297
C42.C2.90C22 = C22.156C25φ: C22/C1C22 ⊆ Out C42.C264C4^2.C2.90C2^2128,2299
C42.C2.91C22 = C2×C42.2C22φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.91C2^2128,255
C42.C2.92C22 = C42.66D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.92C2^2128,256
C42.C2.93C22 = C42.406D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.93C2^2128,258
C42.C2.94C22 = C42.408D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.94C2^2128,260
C42.C2.95C22 = C42.376D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.95C2^2128,261
C42.C2.96C22 = C42.68D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.96C2^2128,263
C42.C2.97C22 = C42.69D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.97C2^2128,264
C42.C2.98C22 = C42.71D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.98C2^2128,266
C42.C2.99C22 = C42.72D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.99C2^2128,267
C42.C2.100C22 = C42.74D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.100C2^2128,269
C42.C2.101C22 = C2×Q8.Q8φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.101C2^2128,1807
C42.C2.102C22 = C42.447D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.102C2^2128,1808
C42.C2.103C22 = C42.220D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.103C2^2128,1810
C42.C2.104C22 = C42.449D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.104C2^2128,1812
C42.C2.105C22 = C42.384D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.105C2^2128,1834
C42.C2.106C22 = C42.226D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.106C2^2128,1840
C42.C2.107C22 = C42.229D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.107C2^2128,1843
C42.C2.108C22 = C42.235D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.108C2^2128,1849
C42.C2.109C22 = C42.355D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.109C2^2128,1863
C42.C2.110C22 = C2×C42.30C22φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.110C2^2128,1866
C42.C2.111C22 = C42.239D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.111C2^2128,1867
C42.C2.112C22 = C42.241D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.112C2^2128,1871
C42.C2.113C22 = C42.244D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.113C2^2128,1874
C42.C2.114C22 = C2×C8.5Q8φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.114C2^2128,1890
C42.C2.115C22 = C42.364D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.115C2^2128,1892
C42.C2.116C22 = C2×C8⋊Q8φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.116C2^2128,1893
C42.C2.117C22 = C42.252D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.117C2^2128,1894
C42.C2.118C22 = M4(2)⋊5Q8φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.118C2^2128,1897
C42.C2.119C22 = M4(2)⋊6Q8φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.119C2^2128,1898
C42.C2.120C22 = C42.308D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.120C2^2128,1900
C42.C2.121C22 = C42.255D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.121C2^2128,1903
C42.C2.122C22 = C42.256D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.122C2^2128,1904
C42.C2.123C22 = C42.257D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.123C2^2128,1912
C42.C2.124C22 = C42.258D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.124C2^2128,1913
C42.C2.125C22 = C42.260D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.125C2^2128,1915
C42.C2.126C22 = C42.270D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.126C2^2128,1944
C42.C2.127C22 = C42.276D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.127C2^2128,1950
C42.C2.128C22 = C42.277D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.128C2^2128,1951
C42.C2.129C22 = C42.280D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.129C2^2128,1960
C42.C2.130C22 = C42.283D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.130C2^2128,1963
C42.C2.131C22 = C42.284D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.131C2^2128,1964
C42.C2.132C22 = C42.285D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.132C2^2128,1965
C42.C2.133C22 = C42.286D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.133C2^2128,1966
C42.C2.134C22 = C42.287D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.134C2^2128,1967
C42.C2.135C22 = C42.288D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.135C2^2128,1968
C42.C2.136C22 = C42.289D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.136C2^2128,1969
C42.C2.137C22 = C42.290D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.137C2^2128,1970
C42.C2.138C22 = C42.291D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.138C2^2128,1971
C42.C2.139C22 = C42.292D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.139C2^2128,1972
C42.C2.140C22 = C42.295D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.140C2^2128,1979
C42.C2.141C22 = C42.296D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.141C2^2128,1980
C42.C2.142C22 = C42.298D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.142C2^2128,1982
C42.C2.143C22 = C42.299D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.143C2^2128,1983
C42.C2.144C22 = C42.300D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.144C2^2128,1984
C42.C2.145C22 = C42.304D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.145C2^2128,1988
C42.C2.146C22 = C22.50C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.146C2^2128,2193
C42.C2.147C22 = C2×Q83Q8φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.147C2^2128,2208
C42.C2.148C22 = Q8×C4○D4φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.148C2^2128,2210
C42.C2.149C22 = C22.69C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.149C2^2128,2212
C42.C2.150C22 = C22.71C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.150C2^2128,2214
C42.C2.151C22 = C22.92C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.151C2^2128,2235
C42.C2.152C22 = C22.93C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.152C2^2128,2236
C42.C2.153C22 = C22.96C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.153C2^2128,2239
C42.C2.154C22 = C22.100C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.154C2^2128,2243
C42.C2.155C22 = C22.101C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.155C2^2128,2244
C42.C2.156C22 = C22.105C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.156C2^2128,2248
C42.C2.157C22 = C22.111C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.157C2^2128,2254
C42.C2.158C22 = C23.146C24φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.158C2^2128,2255
C42.C2.159C22 = C22.113C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.159C2^2128,2256
C42.C2.160C22 = C2×C22.58C24φ: C22/C2C2 ⊆ Out C42.C2128C4^2.C2.160C2^2128,2262
C42.C2.161C22 = C22.120C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.161C2^2128,2263
C42.C2.162C22 = C22.133C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.162C2^2128,2276
C42.C2.163C22 = C22.136C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.163C2^2128,2279
C42.C2.164C22 = C22.139C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.164C2^2128,2282
C42.C2.165C22 = C22.141C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.165C2^2128,2284
C42.C2.166C22 = C22.142C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.166C2^2128,2285
C42.C2.167C22 = C22.146C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.167C2^2128,2289
C42.C2.168C22 = C22.148C25φ: C22/C2C2 ⊆ Out C42.C264C4^2.C2.168C2^2128,2291
C42.C2.169C22 = C22.104C25φ: trivial image64C4^2.C2.169C2^2128,2247
C42.C2.170C22 = C22.107C25φ: trivial image64C4^2.C2.170C2^2128,2250

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