extension | φ:Q→Aut N | d | ρ | Label | ID |
(C2×C16)⋊1C22 = D8⋊7D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | | (C2xC16):1C2^2 | 128,916 |
(C2×C16)⋊2C22 = Q16.10D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4+ | (C2xC16):2C2^2 | 128,924 |
(C2×C16)⋊3C22 = C2×C16⋊C22 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | | (C2xC16):3C2^2 | 128,2144 |
(C2×C16)⋊4C22 = D16⋊C22 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):4C2^2 | 128,2146 |
(C2×C16)⋊5C22 = D4○D16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4+ | (C2xC16):5C2^2 | 128,2147 |
(C2×C16)⋊6C22 = D4○SD32 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):6C2^2 | 128,2148 |
(C2×C16)⋊7C22 = D8.9D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | | (C2xC16):7C2^2 | 128,919 |
(C2×C16)⋊8C22 = D8.3D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):8C2^2 | 128,926 |
(C2×C16)⋊9C22 = C24.5C8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | | (C2xC16):9C2^2 | 128,844 |
(C2×C16)⋊10C22 = M5(2)⋊12C22 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):10C2^2 | 128,849 |
(C2×C16)⋊11C22 = C23.40D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | | (C2xC16):11C2^2 | 128,872 |
(C2×C16)⋊12C22 = C23.20SD16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):12C2^2 | 128,875 |
(C2×C16)⋊13C22 = Q8○M5(2) | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16):13C2^2 | 128,2139 |
(C2×C16)⋊14C22 = C2×C22⋊C16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):14C2^2 | 128,843 |
(C2×C16)⋊15C22 = C2×D4.C8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):15C2^2 | 128,848 |
(C2×C16)⋊16C22 = C2×C2.D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):16C2^2 | 128,868 |
(C2×C16)⋊17C22 = C2×D8.C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):17C2^2 | 128,874 |
(C2×C16)⋊18C22 = C22×D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):18C2^2 | 128,2140 |
(C2×C16)⋊19C22 = C2×C4○D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):19C2^2 | 128,2143 |
(C2×C16)⋊20C22 = C22×SD32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):20C2^2 | 128,2141 |
(C2×C16)⋊21C22 = C22×M5(2) | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):21C2^2 | 128,2137 |
(C2×C16)⋊22C22 = C2×D4○C16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16):22C2^2 | 128,2138 |
extension | φ:Q→Aut N | d | ρ | Label | ID |
(C2×C16).1C22 = D8⋊8D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).1C2^2 | 128,918 |
(C2×C16).2C22 = Q16.8D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).2C2^2 | 128,920 |
(C2×C16).3C22 = D8.12D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | 4- | (C2xC16).3C2^2 | 128,927 |
(C2×C16).4C22 = D8⋊2D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).4C2^2 | 128,938 |
(C2×C16).5C22 = Q16.4D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).5C2^2 | 128,941 |
(C2×C16).6C22 = Q16.5D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).6C2^2 | 128,943 |
(C2×C16).7C22 = D8⋊1Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).7C2^2 | 128,956 |
(C2×C16).8C22 = C4.Q32 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).8C2^2 | 128,959 |
(C2×C16).9C22 = Q16.Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).9C2^2 | 128,961 |
(C2×C16).10C22 = C22.D16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).10C2^2 | 128,964 |
(C2×C16).11C22 = C23.51D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).11C2^2 | 128,968 |
(C2×C16).12C22 = C23.20D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).12C2^2 | 128,969 |
(C2×C16).13C22 = D16⋊3C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).13C2^2 | 128,150 |
(C2×C16).14C22 = M6(2)⋊C2 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4+ | (C2xC16).14C2^2 | 128,151 |
(C2×C16).15C22 = C16.18D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | 4- | (C2xC16).15C2^2 | 128,152 |
(C2×C16).16C22 = C8.Q16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).16C2^2 | 128,158 |
(C2×C16).17C22 = M5(2)⋊1C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).17C2^2 | 128,891 |
(C2×C16).18C22 = M5(2).1C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).18C2^2 | 128,893 |
(C2×C16).19C22 = SD32⋊3C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).19C2^2 | 128,907 |
(C2×C16).20C22 = Q32⋊4C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).20C2^2 | 128,908 |
(C2×C16).21C22 = D16⋊4C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).21C2^2 | 128,909 |
(C2×C16).22C22 = D16⋊5C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).22C2^2 | 128,911 |
(C2×C16).23C22 = C16⋊D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).23C2^2 | 128,950 |
(C2×C16).24C22 = C16.D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).24C2^2 | 128,951 |
(C2×C16).25C22 = C16⋊2D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).25C2^2 | 128,952 |
(C2×C16).26C22 = D4.3D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4+ | (C2xC16).26C2^2 | 128,953 |
(C2×C16).27C22 = D4.4D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | 4- | (C2xC16).27C2^2 | 128,954 |
(C2×C16).28C22 = D4.5D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).28C2^2 | 128,955 |
(C2×C16).29C22 = C16⋊3D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).29C2^2 | 128,982 |
(C2×C16).30C22 = C8.7D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).30C2^2 | 128,983 |
(C2×C16).31C22 = C16⋊Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).31C2^2 | 128,987 |
(C2×C16).32C22 = C32⋊C22 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4+ | (C2xC16).32C2^2 | 128,995 |
(C2×C16).33C22 = Q64⋊C2 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | 4- | (C2xC16).33C2^2 | 128,996 |
(C2×C16).34C22 = C2×Q32⋊C2 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).34C2^2 | 128,2145 |
(C2×C16).35C22 = Q8○D16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | 4- | (C2xC16).35C2^2 | 128,2149 |
(C2×C16).36C22 = Q16⋊7D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).36C2^2 | 128,917 |
(C2×C16).37C22 = D8.10D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).37C2^2 | 128,921 |
(C2×C16).38C22 = Q16.D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).38C2^2 | 128,925 |
(C2×C16).39C22 = Q16⋊2D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).39C2^2 | 128,939 |
(C2×C16).40C22 = D8.4D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).40C2^2 | 128,940 |
(C2×C16).41C22 = D8.5D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).41C2^2 | 128,942 |
(C2×C16).42C22 = Q16⋊Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).42C2^2 | 128,957 |
(C2×C16).43C22 = D8⋊Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).43C2^2 | 128,958 |
(C2×C16).44C22 = D8.Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).44C2^2 | 128,960 |
(C2×C16).45C22 = C23.49D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).45C2^2 | 128,965 |
(C2×C16).46C22 = C23.19D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).46C2^2 | 128,966 |
(C2×C16).47C22 = C23.50D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).47C2^2 | 128,967 |
(C2×C16).48C22 = C32⋊C4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).48C2^2 | 128,130 |
(C2×C16).49C22 = C23.C16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).49C2^2 | 128,132 |
(C2×C16).50C22 = C23.39D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).50C2^2 | 128,871 |
(C2×C16).51C22 = C23.41D8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).51C2^2 | 128,873 |
(C2×C16).52C22 = C4⋊M5(2) | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).52C2^2 | 128,882 |
(C2×C16).53C22 = C42.6C8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).53C2^2 | 128,895 |
(C2×C16).54C22 = C16⋊9D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).54C2^2 | 128,900 |
(C2×C16).55C22 = C16⋊6D4 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).55C2^2 | 128,901 |
(C2×C16).56C22 = D8.C8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 32 | 4 | (C2xC16).56C2^2 | 128,903 |
(C2×C16).57C22 = C16⋊4Q8 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).57C2^2 | 128,915 |
(C2×C16).58C22 = C8.12SD16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).58C2^2 | 128,975 |
(C2×C16).59C22 = C8.13SD16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 64 | | (C2xC16).59C2^2 | 128,976 |
(C2×C16).60C22 = C8.14SD16 | φ: C22/C1 → C22 ⊆ Aut C2×C16 | 128 | | (C2xC16).60C2^2 | 128,977 |
(C2×C16).61C22 = (C2×D4).5C8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).61C2^2 | 128,845 |
(C2×C16).62C22 = C2×C2.Q32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).62C2^2 | 128,869 |
(C2×C16).63C22 = C23.24D8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).63C2^2 | 128,870 |
(C2×C16).64C22 = C2×C4⋊C16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).64C2^2 | 128,881 |
(C2×C16).65C22 = C4⋊C4.7C8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).65C2^2 | 128,883 |
(C2×C16).66C22 = C42.13C8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).66C2^2 | 128,894 |
(C2×C16).67C22 = C8.12M4(2) | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).67C2^2 | 128,896 |
(C2×C16).68C22 = C16○D8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 32 | 2 | (C2xC16).68C2^2 | 128,902 |
(C2×C16).69C22 = C4×D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).69C2^2 | 128,904 |
(C2×C16).70C22 = C4×SD32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).70C2^2 | 128,905 |
(C2×C16).71C22 = C4×Q32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).71C2^2 | 128,906 |
(C2×C16).72C22 = C4.4D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).72C2^2 | 128,972 |
(C2×C16).73C22 = C4.SD32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).73C2^2 | 128,973 |
(C2×C16).74C22 = C8.22SD16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).74C2^2 | 128,974 |
(C2×C16).75C22 = D16⋊2C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).75C2^2 | 128,147 |
(C2×C16).76C22 = Q32⋊2C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).76C2^2 | 128,148 |
(C2×C16).77C22 = C32⋊3C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).77C2^2 | 128,155 |
(C2×C16).78C22 = C32⋊4C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).78C2^2 | 128,156 |
(C2×C16).79C22 = C2×C16⋊3C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).79C2^2 | 128,888 |
(C2×C16).80C22 = C23.25D8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).80C2^2 | 128,890 |
(C2×C16).81C22 = C16⋊7D4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).81C2^2 | 128,947 |
(C2×C16).82C22 = C16.19D4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).82C2^2 | 128,948 |
(C2×C16).83C22 = C4⋊D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).83C2^2 | 128,978 |
(C2×C16).84C22 = C4⋊Q32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).84C2^2 | 128,979 |
(C2×C16).85C22 = C8.21D8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).85C2^2 | 128,981 |
(C2×C16).86C22 = C16⋊2Q8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).86C2^2 | 128,984 |
(C2×C16).87C22 = C16.5Q8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).87C2^2 | 128,985 |
(C2×C16).88C22 = C2×D32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).88C2^2 | 128,991 |
(C2×C16).89C22 = C2×SD64 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).89C2^2 | 128,992 |
(C2×C16).90C22 = C2×Q64 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).90C2^2 | 128,993 |
(C2×C16).91C22 = C22×Q32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).91C2^2 | 128,2142 |
(C2×C16).92C22 = D16.C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | 2 | (C2xC16).92C2^2 | 128,149 |
(C2×C16).93C22 = C32.C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | 2 | (C2xC16).93C2^2 | 128,157 |
(C2×C16).94C22 = C2×C8.4Q8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).94C2^2 | 128,892 |
(C2×C16).95C22 = C8○D16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 32 | 2 | (C2xC16).95C2^2 | 128,910 |
(C2×C16).96C22 = C4○D32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | 2 | (C2xC16).96C2^2 | 128,994 |
(C2×C16).97C22 = C2×C16⋊4C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).97C2^2 | 128,889 |
(C2×C16).98C22 = C16⋊8D4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).98C2^2 | 128,949 |
(C2×C16).99C22 = C16⋊5D4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).99C2^2 | 128,980 |
(C2×C16).100C22 = C16⋊3Q8 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).100C2^2 | 128,986 |
(C2×C16).101C22 = D4.C16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | 2 | (C2xC16).101C2^2 | 128,133 |
(C2×C16).102C22 = C8.C16 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 32 | 2 | (C2xC16).102C2^2 | 128,154 |
(C2×C16).103C22 = C2×C16⋊5C4 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 128 | | (C2xC16).103C2^2 | 128,838 |
(C2×C16).104C22 = C4×M5(2) | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).104C2^2 | 128,839 |
(C2×C16).105C22 = C16○2M5(2) | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).105C2^2 | 128,840 |
(C2×C16).106C22 = C2×M6(2) | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | | (C2xC16).106C2^2 | 128,989 |
(C2×C16).107C22 = D4○C32 | φ: C22/C2 → C2 ⊆ Aut C2×C16 | 64 | 2 | (C2xC16).107C2^2 | 128,990 |
(C2×C16).108C22 = C32⋊5C4 | central extension (φ=1) | 128 | | (C2xC16).108C2^2 | 128,129 |
(C2×C16).109C22 = C22⋊C32 | central extension (φ=1) | 64 | | (C2xC16).109C2^2 | 128,131 |
(C2×C16).110C22 = C4⋊C32 | central extension (φ=1) | 128 | | (C2xC16).110C2^2 | 128,153 |
(C2×C16).111C22 = D4×C16 | central extension (φ=1) | 64 | | (C2xC16).111C2^2 | 128,899 |
(C2×C16).112C22 = Q8×C16 | central extension (φ=1) | 128 | | (C2xC16).112C2^2 | 128,914 |