# 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⋊C264C2^2xC4^2:C2128,2153

Semidirect products G=N:Q with N=C42⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C42⋊C21C22 = 2+ 1+44C4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2:1C2^2128,526
C42⋊C22C22 = C4○D4.D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2:2C2^2128,527
C42⋊C23C22 = C23.C24φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2:3C2^2128,1615
C42⋊C24C22 = 2+ 1+45C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:4C2^2128,1629
C42⋊C25C22 = C24.103D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:5C2^2128,1734
C42⋊C26C22 = C24.177D4φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2:6C2^2128,1735
C42⋊C27C22 = C4○D4⋊D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:7C2^2128,1740
C42⋊C28C22 = D4.(C2×D4)φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:8C2^2128,1741
C42⋊C29C22 = M4(2)⋊C23φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2:9C2^2128,1751
C42⋊C210C22 = C42.12C23φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2:10C2^2128,1753
C42⋊C211C22 = C42.13C23φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2:11C2^2128,1754
C42⋊C212C22 = C23.7C24φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2:12C2^2128,1757
C42⋊C213C22 = C23.9C24φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2:13C2^2128,1759
C42⋊C214C22 = C23.10C24φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2:14C2^2128,1760
C42⋊C215C22 = (C2×D4).301D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:15C2^2128,1828
C42⋊C216C22 = C24.121D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:16C2^2128,1920
C42⋊C217C22 = C24.127D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:17C2^2128,1926
C42⋊C218C22 = C4.142+ 1+4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:18C2^2128,1931
C42⋊C219C22 = C4.152+ 1+4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:19C2^2128,1932
C42⋊C220C22 = C42.461C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:20C2^2128,2028
C42⋊C221C22 = C42.462C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:21C2^2128,2029
C42⋊C222C22 = C42.45C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:22C2^2128,2042
C42⋊C223C22 = C42.46C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:23C2^2128,2043
C42⋊C224C22 = C42.53C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:24C2^2128,2050
C42⋊C225C22 = C42.54C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:25C2^2128,2051
C42⋊C226C22 = C42.473C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:26C2^2128,2056
C42⋊C227C22 = C42.474C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:27C2^2128,2057
C42⋊C228C22 = C22.48C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:28C2^2128,2191
C42⋊C229C22 = C22.70C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:29C2^2128,2213
C42⋊C230C22 = C22.73C25φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2:30C2^2128,2216
C42⋊C231C22 = C22.74C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:31C2^2128,2217
C42⋊C232C22 = C22.77C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:32C2^2128,2220
C42⋊C233C22 = C22.78C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:33C2^2128,2221
C42⋊C234C22 = C22.79C25φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2:34C2^2128,2222
C42⋊C235C22 = C22.80C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:35C2^2128,2223
C42⋊C236C22 = C22.81C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:36C2^2128,2224
C42⋊C237C22 = C22.82C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:37C2^2128,2225
C42⋊C238C22 = C22.83C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:38C2^2128,2226
C42⋊C239C22 = C22.84C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:39C2^2128,2227
C42⋊C240C22 = C22.94C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:40C2^2128,2237
C42⋊C241C22 = C22.95C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:41C2^2128,2238
C42⋊C242C22 = C22.99C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:42C2^2128,2242
C42⋊C243C22 = C22.102C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:43C2^2128,2245
C42⋊C244C22 = C22.103C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:44C2^2128,2246
C42⋊C245C22 = C22.108C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:45C2^2128,2251
C42⋊C246C22 = C23.144C24φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:46C2^2128,2252
C42⋊C247C22 = C22.110C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:47C2^2128,2253
C42⋊C248C22 = C22.118C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:48C2^2128,2261
C42⋊C249C22 = C42⋊C23φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2:49C2^2128,2264
C42⋊C250C22 = C22.122C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:50C2^2128,2265
C42⋊C251C22 = C22.123C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:51C2^2128,2266
C42⋊C252C22 = C22.124C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:52C2^2128,2267
C42⋊C253C22 = C22.125C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:53C2^2128,2268
C42⋊C254C22 = C22.126C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:54C2^2128,2269
C42⋊C255C22 = C22.127C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:55C2^2128,2270
C42⋊C256C22 = C22.128C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:56C2^2128,2271
C42⋊C257C22 = C22.129C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:57C2^2128,2272
C42⋊C258C22 = C22.130C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:58C2^2128,2273
C42⋊C259C22 = C22.131C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:59C2^2128,2274
C42⋊C260C22 = C22.132C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:60C2^2128,2275
C42⋊C261C22 = C22.134C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:61C2^2128,2277
C42⋊C262C22 = C22.135C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:62C2^2128,2278
C42⋊C263C22 = C22.138C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:63C2^2128,2281
C42⋊C264C22 = C22.140C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:64C2^2128,2283
C42⋊C265C22 = C22.147C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:65C2^2128,2290
C42⋊C266C22 = C22.149C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:66C2^2128,2292
C42⋊C267C22 = C22.150C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:67C2^2128,2293
C42⋊C268C22 = C22.151C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:68C2^2128,2294
C42⋊C269C22 = C22.153C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:69C2^2128,2296
C42⋊C270C22 = C22.155C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:70C2^2128,2298
C42⋊C271C22 = C22.157C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2:71C2^2128,2300
C42⋊C272C22 = C2×C23.C23φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:72C2^2128,1614
C42⋊C273C22 = C2×C23.24D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:73C2^2128,1624
C42⋊C274C22 = C2×C23.37D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:74C2^2128,1625
C42⋊C275C22 = C24.98D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:75C2^2128,1628
C42⋊C276C22 = C2×C42⋊C22φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:76C2^2128,1632
C42⋊C277C22 = 2- 1+45C4φ: C22/C2C2 ⊆ Out C42⋊C2164C4^2:C2:77C2^2128,1633
C42⋊C278C22 = C2×C23.19D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:78C2^2128,1819
C42⋊C279C22 = C24.117D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:79C2^2128,1826
C42⋊C280C22 = C2×C22.11C24φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:80C2^2128,2157
C42⋊C281C22 = C2×C23.33C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:81C2^2128,2159
C42⋊C282C22 = C4×2+ 1+4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:82C2^2128,2161
C42⋊C283C22 = C2×C22.19C24φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:83C2^2128,2167
C42⋊C284C22 = C2×C23.36C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:84C2^2128,2171
C42⋊C285C22 = C22.33C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:85C2^2128,2176
C42⋊C286C22 = C2×C22.29C24φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:86C2^2128,2178
C42⋊C287C22 = C2×C23.38C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:87C2^2128,2179
C42⋊C288C22 = C22.38C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:88C2^2128,2181
C42⋊C289C22 = C2×C22.34C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:89C2^2128,2184
C42⋊C290C22 = C2×C22.36C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:90C2^2128,2186
C42⋊C291C22 = C22.44C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:91C2^2128,2187
C42⋊C292C22 = C22.49C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:92C2^2128,2192
C42⋊C293C22 = D4×C4○D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:93C2^2128,2200
C42⋊C294C22 = C2×C22.45C24φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:94C2^2128,2201
C42⋊C295C22 = C2×C22.46C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:95C2^2128,2202
C42⋊C296C22 = C2×C22.47C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:96C2^2128,2203
C42⋊C297C22 = C2×C22.49C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:97C2^2128,2205
C42⋊C298C22 = C2×C22.50C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2:98C2^2128,2206
C42⋊C299C22 = C22.64C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:99C2^2128,2207
C42⋊C2100C22 = C22.87C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:100C2^2128,2230
C42⋊C2101C22 = C22.89C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:101C2^2128,2232
C42⋊C2102C22 = C22.97C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2:102C2^2128,2240
C42⋊C2103C22 = C2×C4×C4○D4φ: trivial image64C4^2:C2:103C2^2128,2156
C42⋊C2104C22 = C22.14C25φ: trivial image32C4^2:C2:104C2^2128,2160

Non-split extensions G=N.Q with N=C42⋊C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C42⋊C2.1C22 = (C22×Q8)⋊C4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.1C2^2128,528
C42⋊C2.2C22 = (C2×D4).24Q8φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.2C2^2128,544
C42⋊C2.3C22 = C8○D4⋊C4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.3C2^2128,546
C42⋊C2.4C22 = (C2×C42)⋊C4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.4C2^2128,559
C42⋊C2.5C22 = C24.6(C2×C4)φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.5C2^2128,561
C42⋊C2.6C22 = (C2×Q8).211D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.6C2^2128,562
C42⋊C2.7C22 = C8⋊C417C4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.7C2^2128,573
C42⋊C2.8C22 = C24.21D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.8C2^2128,588
C42⋊C2.9C22 = C4.10D42C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.9C2^2128,589
C42⋊C2.10C22 = C4≀C2⋊C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.10C2^2128,591
C42⋊C2.11C22 = C429(C2×C4)φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.11C2^2128,592
C42⋊C2.12C22 = M4(2).41D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.12C2^2128,593
C42⋊C2.13C22 = M4(2).42D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.13C2^2128,598
C42⋊C2.14C22 = (C2×D4).Q8φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.14C2^2128,600
C42⋊C2.15C22 = C24.72D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.15C2^2128,603
C42⋊C2.16C22 = M4(2).44D4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.16C2^2128,613
C42⋊C2.17C22 = C8.C22⋊C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.17C2^2128,614
C42⋊C2.18C22 = C8⋊C22⋊C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.18C2^2128,615
C42⋊C2.19C22 = M4(2)⋊19D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.19C2^2128,616
C42⋊C2.20C22 = C24.23D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.20C2^2128,617
C42⋊C2.21C22 = C4⋊Q815C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.21C2^2128,618
C42⋊C2.22C22 = C24.24D4φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2.22C2^2128,619
C42⋊C2.23C22 = C4.4D413C4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.23C2^2128,620
C42⋊C2.24C22 = (C2×C8)⋊D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.24C2^2128,623
C42⋊C2.25C22 = (C2×C4)≀C2φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2.25C2^2128,628
C42⋊C2.26C22 = C427D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.26C2^2128,629
C42⋊C2.27C22 = M4(2).46D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.27C2^2128,634
C42⋊C2.28C22 = M4(2).47D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.28C2^2128,635
C42⋊C2.29C22 = C42.5D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.29C2^2128,636
C42⋊C2.30C22 = C42.6D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.30C2^2128,637
C42⋊C2.31C22 = C4.(C4×D4)φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.31C2^2128,641
C42⋊C2.32C22 = (C2×C8)⋊4D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.32C2^2128,642
C42⋊C2.33C22 = C42⋊D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.33C2^2128,643
C42⋊C2.34C22 = C42.7D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.34C2^2128,644
C42⋊C2.35C22 = M4(2)⋊21D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.35C2^2128,646
C42⋊C2.36C22 = M4(2).50D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.36C2^2128,647
C42⋊C2.37C22 = C42.427D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.37C2^2128,664
C42⋊C2.38C22 = C42.428D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.38C2^2128,669
C42⋊C2.39C22 = C42.107D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.39C2^2128,670
C42⋊C2.40C22 = C42.62Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.40C2^2128,677
C42⋊C2.41C22 = C42.28Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.41C2^2128,678
C42⋊C2.42C22 = M4(2).30D4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.42C2^2128,708
C42⋊C2.43C22 = M4(2)⋊7Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.43C2^2128,718
C42⋊C2.44C22 = C4216Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.44C2^2128,726
C42⋊C2.45C22 = C42⋊Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.45C2^2128,727
C42⋊C2.46C22 = C429D4φ: C22/C1C22 ⊆ Out C42⋊C216C4^2:C2.46C2^2128,734
C42⋊C2.47C22 = C42.129D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.47C2^2128,735
C42⋊C2.48C22 = C4210D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.48C2^2128,736
C42⋊C2.49C22 = C42.130D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.49C2^2128,737
C42⋊C2.50C22 = M4(2)⋊5D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.50C2^2128,740
C42⋊C2.51C22 = M4(2).D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.51C2^2128,741
C42⋊C2.52C22 = C422D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.52C2^2128,742
C42⋊C2.53C22 = (C2×D4)⋊2Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.53C2^2128,759
C42⋊C2.54C22 = (C2×Q8)⋊2Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.54C2^2128,760
C42⋊C2.55C22 = C42.8D4φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.55C2^2128,763
C42⋊C2.56C22 = M4(2)⋊6D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.56C2^2128,769
C42⋊C2.57C22 = M4(2).7D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.57C2^2128,770
C42⋊C2.58C22 = C4⋊C4.96D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.58C2^2128,777
C42⋊C2.59C22 = C4⋊C4.97D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.59C2^2128,778
C42⋊C2.60C22 = C4⋊C4.98D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.60C2^2128,779
C42⋊C2.61C22 = M4(2).8D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.61C2^2128,780
C42⋊C2.62C22 = M4(2).9D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.62C2^2128,781
C42⋊C2.63C22 = C22⋊C4.7D4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.63C2^2128,785
C42⋊C2.64C22 = M4(2)⋊Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.64C2^2128,792
C42⋊C2.65C22 = C423Q8φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.65C2^2128,793
C42⋊C2.66C22 = M4(2).12D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.66C2^2128,795
C42⋊C2.67C22 = M4(2).13D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.67C2^2128,796
C42⋊C2.68C22 = C42.9D4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.68C2^2128,812
C42⋊C2.69C22 = (C2×C8).D4φ: C22/C1C22 ⊆ Out C42⋊C2168+C4^2:C2.69C2^2128,813
C42⋊C2.70C22 = (C2×C8).6D4φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.70C2^2128,814
C42⋊C2.71C22 = M4(2).Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.71C2^2128,821
C42⋊C2.72C22 = M4(2).2Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.72C2^2128,822
C42⋊C2.73C22 = C42.10D4φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.73C2^2128,830
C42⋊C2.74C22 = C42.32Q8φ: C22/C1C22 ⊆ Out C42⋊C2164C4^2:C2.74C2^2128,834
C42⋊C2.75C22 = C22⋊C4.Q8φ: C22/C1C22 ⊆ Out C42⋊C2324C4^2:C2.75C2^2128,835
C42⋊C2.76C22 = C23.4C24φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.76C2^2128,1616
C42⋊C2.77C22 = 2- 1+44C4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.77C2^2128,1630
C42⋊C2.78C22 = C4○D4.7Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.78C2^2128,1644
C42⋊C2.79C22 = C4○D4.8Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.79C2^2128,1645
C42⋊C2.80C22 = C42.275C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.80C2^2128,1678
C42⋊C2.81C22 = C42.276C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.81C2^2128,1679
C42⋊C2.82C22 = C42.277C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.82C2^2128,1680
C42⋊C2.83C22 = C42.278C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.83C2^2128,1681
C42⋊C2.84C22 = C42.279C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.84C2^2128,1682
C42⋊C2.85C22 = C42.297C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.85C2^2128,1708
C42⋊C2.86C22 = C42.298C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.86C2^2128,1709
C42⋊C2.87C22 = C42.299C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.87C2^2128,1710
C42⋊C2.88C22 = C42.696C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.88C2^2128,1717
C42⋊C2.89C22 = C42.304C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.89C2^2128,1718
C42⋊C2.90C22 = C42.305C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.90C2^2128,1719
C42⋊C2.91C22 = C42.307C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.91C2^2128,1724
C42⋊C2.92C22 = C42.308C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.92C2^2128,1725
C42⋊C2.93C22 = C42.309C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.93C2^2128,1726
C42⋊C2.94C22 = C42.310C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.94C2^2128,1727
C42⋊C2.95C22 = C24.178D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.95C2^2128,1736
C42⋊C2.96C22 = C24.104D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.96C2^2128,1737
C42⋊C2.97C22 = (C2×Q8)⋊16D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.97C2^2128,1742
C42⋊C2.98C22 = Q8.(C2×D4)φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.98C2^2128,1743
C42⋊C2.99C22 = M4(2).C23φ: C22/C1C22 ⊆ Out C42⋊C2328-C4^2:C2.99C2^2128,1752
C42⋊C2.100C22 = C42.14C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.100C2^2128,1773
C42⋊C2.101C22 = C42.15C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.101C2^2128,1774
C42⋊C2.102C22 = C42.16C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.102C2^2128,1775
C42⋊C2.103C22 = C42.17C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.103C2^2128,1776
C42⋊C2.104C22 = C42.18C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.104C2^2128,1777
C42⋊C2.105C22 = C42.19C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.105C2^2128,1778
C42⋊C2.106C22 = C24.144D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.106C2^2128,1782
C42⋊C2.107C22 = C24.110D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.107C2^2128,1786
C42⋊C2.108C22 = M4(2)⋊14D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.108C2^2128,1787
C42⋊C2.109C22 = M4(2)⋊15D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.109C2^2128,1788
C42⋊C2.110C22 = (C2×C8)⋊11D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.110C2^2128,1789
C42⋊C2.111C22 = (C2×C8)⋊12D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.111C2^2128,1790
C42⋊C2.112C22 = C8.D4⋊C2φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.112C2^2128,1791
C42⋊C2.113C22 = M4(2)⋊16D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.113C2^2128,1794
C42⋊C2.114C22 = M4(2)⋊17D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.114C2^2128,1795
C42⋊C2.115C22 = C42.447D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.115C2^2128,1808
C42⋊C2.116C22 = C42.219D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.116C2^2128,1809
C42⋊C2.117C22 = C42.220D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.117C2^2128,1810
C42⋊C2.118C22 = C42.20C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.118C2^2128,1813
C42⋊C2.119C22 = C42.21C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.119C2^2128,1814
C42⋊C2.120C22 = C42.22C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.120C2^2128,1815
C42⋊C2.121C22 = C42.23C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.121C2^2128,1816
C42⋊C2.122C22 = C24.115D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.122C2^2128,1823
C42⋊C2.123C22 = C24.183D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.123C2^2128,1824
C42⋊C2.124C22 = (C2×D4).302D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.124C2^2128,1829
C42⋊C2.125C22 = (C2×D4).303D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.125C2^2128,1830
C42⋊C2.126C22 = (C2×D4).304D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.126C2^2128,1831
C42⋊C2.127C22 = C42.352C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.127C2^2128,1850
C42⋊C2.128C22 = C42.353C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.128C2^2128,1851
C42⋊C2.129C22 = C42.354C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.129C2^2128,1852
C42⋊C2.130C22 = C42.355C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.130C2^2128,1853
C42⋊C2.131C22 = C42.356C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.131C2^2128,1854
C42⋊C2.132C22 = C42.357C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.132C2^2128,1855
C42⋊C2.133C22 = C42.358C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.133C2^2128,1856
C42⋊C2.134C22 = C42.359C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.134C2^2128,1857
C42⋊C2.135C22 = C42.360C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.135C2^2128,1858
C42⋊C2.136C22 = C42.361C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.136C2^2128,1859
C42⋊C2.137C22 = C42.355D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.137C2^2128,1863
C42⋊C2.138C22 = C42.239D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.138C2^2128,1867
C42⋊C2.139C22 = C42.366C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.139C2^2128,1868
C42⋊C2.140C22 = C42.367C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.140C2^2128,1869
C42⋊C2.141C22 = C42.240D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.141C2^2128,1870
C42⋊C2.142C22 = C42.241D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.142C2^2128,1871
C42⋊C2.143C22 = C42.242D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.143C2^2128,1872
C42⋊C2.144C22 = C42.364D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.144C2^2128,1892
C42⋊C2.145C22 = C42.252D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.145C2^2128,1894
C42⋊C2.146C22 = M4(2)⋊3Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.146C2^2128,1895
C42⋊C2.147C22 = M4(2)⋊4Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.147C2^2128,1896
C42⋊C2.148C22 = M4(2)⋊5Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.148C2^2128,1897
C42⋊C2.149C22 = M4(2)⋊6Q8φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.149C2^2128,1898
C42⋊C2.150C22 = C24.123D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.150C2^2128,1922
C42⋊C2.151C22 = C24.124D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.151C2^2128,1923
C42⋊C2.152C22 = C24.129D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.152C2^2128,1928
C42⋊C2.153C22 = C24.130D4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.153C2^2128,1929
C42⋊C2.154C22 = C4.2+ 1+4φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.154C2^2128,1930
C42⋊C2.155C22 = C4.162+ 1+4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.155C2^2128,1933
C42⋊C2.156C22 = C4.172+ 1+4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.156C2^2128,1934
C42⋊C2.157C22 = C42.406C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.157C2^2128,1952
C42⋊C2.158C22 = C42.407C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.158C2^2128,1953
C42⋊C2.159C22 = C42.408C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.159C2^2128,1954
C42⋊C2.160C22 = C42.409C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.160C2^2128,1955
C42⋊C2.161C22 = C42.410C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.161C2^2128,1956
C42⋊C2.162C22 = C42.411C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.162C2^2128,1957
C42⋊C2.163C22 = C42.280D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.163C2^2128,1960
C42⋊C2.164C22 = C42.283D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.164C2^2128,1963
C42⋊C2.165C22 = C42.285D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.165C2^2128,1965
C42⋊C2.166C22 = C42.287D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.166C2^2128,1967
C42⋊C2.167C22 = C42.289D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.167C2^2128,1969
C42⋊C2.168C22 = C42.292D4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.168C2^2128,1972
C42⋊C2.169C22 = C42.423C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.169C2^2128,1973
C42⋊C2.170C22 = C42.424C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.170C2^2128,1974
C42⋊C2.171C22 = C42.425C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.171C2^2128,1975
C42⋊C2.172C22 = C42.426C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.172C2^2128,1976
C42⋊C2.173C22 = C4.2- 1+4φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.173C2^2128,1989
C42⋊C2.174C22 = C42.25C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.174C2^2128,1990
C42⋊C2.175C22 = C42.26C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.175C2^2128,1991
C42⋊C2.176C22 = C42.27C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.176C2^2128,1992
C42⋊C2.177C22 = C42.28C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.177C2^2128,1993
C42⋊C2.178C22 = C42.29C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.178C2^2128,1994
C42⋊C2.179C22 = C42.30C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.179C2^2128,1995
C42⋊C2.180C22 = C42.465C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.180C2^2128,2032
C42⋊C2.181C22 = C42.466C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.181C2^2128,2033
C42⋊C2.182C22 = C42.467C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.182C2^2128,2034
C42⋊C2.183C22 = C42.468C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.183C2^2128,2035
C42⋊C2.184C22 = C42.469C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.184C2^2128,2036
C42⋊C2.185C22 = C42.470C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.185C2^2128,2037
C42⋊C2.186C22 = C42.42C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.186C2^2128,2039
C42⋊C2.187C22 = C42.44C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.187C2^2128,2041
C42⋊C2.188C22 = C42.47C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.188C2^2128,2044
C42⋊C2.189C22 = C42.48C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.189C2^2128,2045
C42⋊C2.190C22 = C42.50C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.190C2^2128,2047
C42⋊C2.191C22 = C42.52C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.191C2^2128,2049
C42⋊C2.192C22 = C42.55C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.192C2^2128,2052
C42⋊C2.193C22 = C42.56C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.193C2^2128,2053
C42⋊C2.194C22 = C42.471C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.194C2^2128,2054
C42⋊C2.195C22 = C42.472C23φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.195C2^2128,2055
C42⋊C2.196C22 = C42.475C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.196C2^2128,2058
C42⋊C2.197C22 = C42.476C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.197C2^2128,2059
C42⋊C2.198C22 = C42.477C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.198C2^2128,2060
C42⋊C2.199C22 = C42.478C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.199C2^2128,2061
C42⋊C2.200C22 = C42.485C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.200C2^2128,2068
C42⋊C2.201C22 = C42.486C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.201C2^2128,2069
C42⋊C2.202C22 = C42.488C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.202C2^2128,2071
C42⋊C2.203C22 = C42.489C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.203C2^2128,2072
C42⋊C2.204C22 = C42.490C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.204C2^2128,2073
C42⋊C2.205C22 = C42.491C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.205C2^2128,2074
C42⋊C2.206C22 = C42.57C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.206C2^2128,2075
C42⋊C2.207C22 = C42.58C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.207C2^2128,2076
C42⋊C2.208C22 = C42.59C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.208C2^2128,2077
C42⋊C2.209C22 = C42.60C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.209C2^2128,2078
C42⋊C2.210C22 = C42.61C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.210C2^2128,2079
C42⋊C2.211C22 = C42.62C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.211C2^2128,2080
C42⋊C2.212C22 = C42.63C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.212C2^2128,2081
C42⋊C2.213C22 = C42.64C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.213C2^2128,2082
C42⋊C2.214C22 = C42.492C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.214C2^2128,2083
C42⋊C2.215C22 = C42.493C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.215C2^2128,2084
C42⋊C2.216C22 = C42.494C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.216C2^2128,2085
C42⋊C2.217C22 = C42.495C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.217C2^2128,2086
C42⋊C2.218C22 = C42.496C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.218C2^2128,2087
C42⋊C2.219C22 = C42.497C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.219C2^2128,2088
C42⋊C2.220C22 = C42.498C23φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.220C2^2128,2089
C42⋊C2.221C22 = C22.50C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.221C2^2128,2193
C42⋊C2.222C22 = C22.71C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.222C2^2128,2214
C42⋊C2.223C22 = C22.75C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.223C2^2128,2218
C42⋊C2.224C22 = C22.76C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.224C2^2128,2219
C42⋊C2.225C22 = C22.90C25φ: C22/C1C22 ⊆ Out C42⋊C232C4^2:C2.225C2^2128,2233
C42⋊C2.226C22 = C22.91C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.226C2^2128,2234
C42⋊C2.227C22 = C22.92C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.227C2^2128,2235
C42⋊C2.228C22 = C22.93C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.228C2^2128,2236
C42⋊C2.229C22 = C22.96C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.229C2^2128,2239
C42⋊C2.230C22 = C22.98C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.230C2^2128,2241
C42⋊C2.231C22 = C22.100C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.231C2^2128,2243
C42⋊C2.232C22 = C22.101C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.232C2^2128,2244
C42⋊C2.233C22 = C22.104C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.233C2^2128,2247
C42⋊C2.234C22 = C22.105C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.234C2^2128,2248
C42⋊C2.235C22 = C22.106C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.235C2^2128,2249
C42⋊C2.236C22 = C22.107C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.236C2^2128,2250
C42⋊C2.237C22 = C22.111C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.237C2^2128,2254
C42⋊C2.238C22 = C23.146C24φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.238C2^2128,2255
C42⋊C2.239C22 = C22.113C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.239C2^2128,2256
C42⋊C2.240C22 = C22.120C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.240C2^2128,2263
C42⋊C2.241C22 = C22.133C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.241C2^2128,2276
C42⋊C2.242C22 = C22.136C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.242C2^2128,2279
C42⋊C2.243C22 = C22.137C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.243C2^2128,2280
C42⋊C2.244C22 = C22.139C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.244C2^2128,2282
C42⋊C2.245C22 = C22.141C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.245C2^2128,2284
C42⋊C2.246C22 = C22.142C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.246C2^2128,2285
C42⋊C2.247C22 = C22.143C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.247C2^2128,2286
C42⋊C2.248C22 = C22.144C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.248C2^2128,2287
C42⋊C2.249C22 = C22.145C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.249C2^2128,2288
C42⋊C2.250C22 = C22.146C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.250C2^2128,2289
C42⋊C2.251C22 = C22.148C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.251C2^2128,2291
C42⋊C2.252C22 = C22.152C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.252C2^2128,2295
C42⋊C2.253C22 = C22.154C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.253C2^2128,2297
C42⋊C2.254C22 = C22.156C25φ: C22/C1C22 ⊆ Out C42⋊C264C4^2:C2.254C2^2128,2299
C42⋊C2.255C22 = C2×C4.9C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.255C2^2128,462
C42⋊C2.256C22 = C2×C426C4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.256C2^2128,464
C42⋊C2.257C22 = C24.63D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.257C2^2128,465
C42⋊C2.258C22 = C2×M4(2)⋊4C4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.258C2^2128,475
C42⋊C2.259C22 = C8.16C42φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.259C2^2128,479
C42⋊C2.260C22 = C23.5C42φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.260C2^2128,489
C42⋊C2.261C22 = C4×C4≀C2φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.261C2^2128,490
C42⋊C2.262C22 = D4.C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.262C2^2128,491
C42⋊C2.263C22 = Q8.C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.263C2^2128,496
C42⋊C2.264C22 = D4.3C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.264C2^2128,497
C42⋊C2.265C22 = C8.14C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.265C2^2128,504
C42⋊C2.266C22 = C8.5C42φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.266C2^2128,505
C42⋊C2.267C22 = C42.102D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.267C2^2128,538
C42⋊C2.268C22 = C24.70D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.268C2^2128,558
C42⋊C2.269C22 = C8.(C4⋊C4)φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.269C2^2128,565
C42⋊C2.270C22 = C42.426D4φ: C22/C2C2 ⊆ Out C42⋊C2164C4^2:C2.270C2^2128,638
C42⋊C2.271C22 = M4(2).3Q8φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.271C2^2128,654
C42⋊C2.272C22 = M4(2).24D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.272C2^2128,661
C42⋊C2.273C22 = C4.10D43C4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.273C2^2128,662
C42⋊C2.274C22 = C4.D43C4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.274C2^2128,663
C42⋊C2.275C22 = M4(2).5Q8φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.275C2^2128,683
C42⋊C2.276C22 = M4(2).6Q8φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.276C2^2128,684
C42⋊C2.277C22 = M4(2).27D4φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.277C2^2128,685
C42⋊C2.278C22 = M4(2).31D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.278C2^2128,709
C42⋊C2.279C22 = M4(2).32D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.279C2^2128,710
C42⋊C2.280C22 = M4(2).33D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.280C2^2128,711
C42⋊C2.281C22 = C2×C23.38D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.281C2^2128,1626
C42⋊C2.282C22 = C2×C42.6C22φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.282C2^2128,1636
C42⋊C2.283C22 = C42.257C23φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.283C2^2128,1637
C42⋊C2.284C22 = C42.674C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.284C2^2128,1638
C42⋊C2.285C22 = C2×C23.25D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.285C2^2128,1641
C42⋊C2.286C22 = C2×M4(2)⋊C4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.286C2^2128,1642
C42⋊C2.287C22 = C24.100D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.287C2^2128,1643
C42⋊C2.288C22 = C2×C42.7C22φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.288C2^2128,1651
C42⋊C2.289C22 = C42.259C23φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.289C2^2128,1653
C42⋊C2.290C22 = C42.260C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.290C2^2128,1654
C42⋊C2.291C22 = C42.261C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.291C2^2128,1655
C42⋊C2.292C22 = C42.264C23φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.292C2^2128,1661
C42⋊C2.293C22 = C42.265C23φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.293C2^2128,1662
C42⋊C2.294C22 = M4(2)⋊22D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.294C2^2128,1665
C42⋊C2.295C22 = C4×C4○D8φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.295C2^2128,1671
C42⋊C2.296C22 = C42.383D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.296C2^2128,1675
C42⋊C2.297C22 = C4×C8⋊C22φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.297C2^2128,1676
C42⋊C2.298C22 = C4×C8.C22φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.298C2^2128,1677
C42⋊C2.299C22 = C42.280C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.299C2^2128,1683
C42⋊C2.300C22 = C42.281C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.300C2^2128,1684
C42⋊C2.301C22 = C42.283C23φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.301C2^2128,1687
C42⋊C2.302C22 = M4(2)○D8φ: C22/C2C2 ⊆ Out C42⋊C2324C4^2:C2.302C2^2128,1689
C42⋊C2.303C22 = C42.286C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.303C2^2128,1692
C42⋊C2.304C22 = C42.287C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.304C2^2128,1693
C42⋊C2.305C22 = M4(2)⋊9Q8φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.305C2^2128,1694
C42⋊C2.306C22 = C42.291C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.306C2^2128,1698
C42⋊C2.307C22 = C42.292C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.307C2^2128,1699
C42⋊C2.308C22 = C42.293C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.308C2^2128,1700
C42⋊C2.309C22 = C42.294C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.309C2^2128,1701
C42⋊C2.310C22 = C42.443D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.310C2^2128,1767
C42⋊C2.311C22 = C42.444D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.311C2^2128,1770
C42⋊C2.312C22 = C42.445D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.312C2^2128,1771
C42⋊C2.313C22 = C42.446D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.313C2^2128,1772
C42⋊C2.314C22 = C42.448D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.314C2^2128,1811
C42⋊C2.315C22 = C42.449D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.315C2^2128,1812
C42⋊C2.316C22 = C2×C23.20D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.316C2^2128,1820
C42⋊C2.317C22 = C24.116D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.317C2^2128,1825
C42⋊C2.318C22 = C24.118D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.318C2^2128,1827
C42⋊C2.319C22 = C42.384D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.319C2^2128,1834
C42⋊C2.320C22 = C42.450D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.320C2^2128,1838
C42⋊C2.321C22 = C42.451D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.321C2^2128,1839
C42⋊C2.322C22 = C42.229D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.322C2^2128,1843
C42⋊C2.323C22 = C42.233D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.323C2^2128,1847
C42⋊C2.324C22 = C42.234D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.324C2^2128,1848
C42⋊C2.325C22 = M4(2)⋊10D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.325C2^2128,1886
C42⋊C2.326C22 = M4(2)⋊11D4φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.326C2^2128,1887
C42⋊C2.327C22 = M4(2).20D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.327C2^2128,1888
C42⋊C2.328C22 = C42.385C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.328C2^2128,1905
C42⋊C2.329C22 = C42.386C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.329C2^2128,1906
C42⋊C2.330C22 = C42.387C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.330C2^2128,1907
C42⋊C2.331C22 = C42.388C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.331C2^2128,1908
C42⋊C2.332C22 = C42.389C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.332C2^2128,1909
C42⋊C2.333C22 = C42.390C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.333C2^2128,1910
C42⋊C2.334C22 = C42.391C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.334C2^2128,1911
C42⋊C2.335C22 = C2×C23.32C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.335C2^2128,2158
C42⋊C2.336C22 = C4×2- 1+4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.336C2^2128,2162
C42⋊C2.337C22 = C2×C23.37C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.337C2^2128,2175
C42⋊C2.338C22 = C2×C22.35C24φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.338C2^2128,2185
C42⋊C2.339C22 = C2×C23.41C23φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.339C2^2128,2189
C42⋊C2.340C22 = C22.47C25φ: C22/C2C2 ⊆ Out C42⋊C232C4^2:C2.340C2^2128,2190
C42⋊C2.341C22 = Q8×C4○D4φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.341C2^2128,2210
C42⋊C2.342C22 = C22.69C25φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.342C2^2128,2212
C42⋊C2.343C22 = C22.72C25φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.343C2^2128,2215
C42⋊C2.344C22 = C22.88C25φ: C22/C2C2 ⊆ Out C42⋊C264C4^2:C2.344C2^2128,2231
C42⋊C2.345C22 = C2×C82M4(2)φ: trivial image64C4^2:C2.345C2^2128,1604
C42⋊C2.346C22 = M4(2)○2M4(2)φ: trivial image32C4^2:C2.346C2^2128,1605
C42⋊C2.347C22 = C4×C8○D4φ: trivial image64C4^2:C2.347C2^2128,1606
C42⋊C2.348C22 = D4.5C42φ: trivial image64C4^2:C2.348C2^2128,1607
C42⋊C2.349C22 = C42.262C23φ: trivial image32C4^2:C2.349C2^2128,1656
C42⋊C2.350C22 = C42.678C23φ: trivial image64C4^2:C2.350C2^2128,1657

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