Extensions 1→N→G→Q→1 with N=C2×C16 and Q=C22

Direct product G=N×Q with N=C2×C16 and Q=C22
dρLabelID
C23×C16128C2^3xC16128,2136

Semidirect products G=N:Q with N=C2×C16 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C16)⋊1C22 = D87D4φ: C22/C1C22 ⊆ Aut C2×C1632(C2xC16):1C2^2128,916
(C2×C16)⋊2C22 = Q16.10D4φ: C22/C1C22 ⊆ Aut C2×C16324+(C2xC16):2C2^2128,924
(C2×C16)⋊3C22 = C2×C16⋊C22φ: C22/C1C22 ⊆ Aut C2×C1632(C2xC16):3C2^2128,2144
(C2×C16)⋊4C22 = D16⋊C22φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):4C2^2128,2146
(C2×C16)⋊5C22 = D4○D16φ: C22/C1C22 ⊆ Aut C2×C16324+(C2xC16):5C2^2128,2147
(C2×C16)⋊6C22 = D4○SD32φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):6C2^2128,2148
(C2×C16)⋊7C22 = D8.9D4φ: C22/C1C22 ⊆ Aut C2×C1632(C2xC16):7C2^2128,919
(C2×C16)⋊8C22 = D8.3D4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):8C2^2128,926
(C2×C16)⋊9C22 = C24.5C8φ: C22/C1C22 ⊆ Aut C2×C1632(C2xC16):9C2^2128,844
(C2×C16)⋊10C22 = M5(2)⋊12C22φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):10C2^2128,849
(C2×C16)⋊11C22 = C23.40D8φ: C22/C1C22 ⊆ Aut C2×C1632(C2xC16):11C2^2128,872
(C2×C16)⋊12C22 = C23.20SD16φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):12C2^2128,875
(C2×C16)⋊13C22 = Q8○M5(2)φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16):13C2^2128,2139
(C2×C16)⋊14C22 = C2×C22⋊C16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):14C2^2128,843
(C2×C16)⋊15C22 = C2×D4.C8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):15C2^2128,848
(C2×C16)⋊16C22 = C2×C2.D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):16C2^2128,868
(C2×C16)⋊17C22 = C2×D8.C4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):17C2^2128,874
(C2×C16)⋊18C22 = C22×D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):18C2^2128,2140
(C2×C16)⋊19C22 = C2×C4○D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):19C2^2128,2143
(C2×C16)⋊20C22 = C22×SD32φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):20C2^2128,2141
(C2×C16)⋊21C22 = C22×M5(2)φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):21C2^2128,2137
(C2×C16)⋊22C22 = C2×D4○C16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16):22C2^2128,2138

Non-split extensions G=N.Q with N=C2×C16 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2×C16).1C22 = D88D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).1C2^2128,918
(C2×C16).2C22 = Q16.8D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).2C2^2128,920
(C2×C16).3C22 = D8.12D4φ: C22/C1C22 ⊆ Aut C2×C16644-(C2xC16).3C2^2128,927
(C2×C16).4C22 = D82D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).4C2^2128,938
(C2×C16).5C22 = Q16.4D4φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).5C2^2128,941
(C2×C16).6C22 = Q16.5D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).6C2^2128,943
(C2×C16).7C22 = D81Q8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).7C2^2128,956
(C2×C16).8C22 = C4.Q32φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).8C2^2128,959
(C2×C16).9C22 = Q16.Q8φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).9C2^2128,961
(C2×C16).10C22 = C22.D16φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).10C2^2128,964
(C2×C16).11C22 = C23.51D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).11C2^2128,968
(C2×C16).12C22 = C23.20D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).12C2^2128,969
(C2×C16).13C22 = D163C4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).13C2^2128,150
(C2×C16).14C22 = M6(2)⋊C2φ: C22/C1C22 ⊆ Aut C2×C16324+(C2xC16).14C2^2128,151
(C2×C16).15C22 = C16.18D4φ: C22/C1C22 ⊆ Aut C2×C16644-(C2xC16).15C2^2128,152
(C2×C16).16C22 = C8.Q16φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).16C2^2128,158
(C2×C16).17C22 = M5(2)⋊1C4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).17C2^2128,891
(C2×C16).18C22 = M5(2).1C4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).18C2^2128,893
(C2×C16).19C22 = SD323C4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).19C2^2128,907
(C2×C16).20C22 = Q324C4φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).20C2^2128,908
(C2×C16).21C22 = D164C4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).21C2^2128,909
(C2×C16).22C22 = D165C4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).22C2^2128,911
(C2×C16).23C22 = C16⋊D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).23C2^2128,950
(C2×C16).24C22 = C16.D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).24C2^2128,951
(C2×C16).25C22 = C162D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).25C2^2128,952
(C2×C16).26C22 = D4.3D8φ: C22/C1C22 ⊆ Aut C2×C16324+(C2xC16).26C2^2128,953
(C2×C16).27C22 = D4.4D8φ: C22/C1C22 ⊆ Aut C2×C16644-(C2xC16).27C2^2128,954
(C2×C16).28C22 = D4.5D8φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).28C2^2128,955
(C2×C16).29C22 = C163D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).29C2^2128,982
(C2×C16).30C22 = C8.7D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).30C2^2128,983
(C2×C16).31C22 = C16⋊Q8φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).31C2^2128,987
(C2×C16).32C22 = C32⋊C22φ: C22/C1C22 ⊆ Aut C2×C16324+(C2xC16).32C2^2128,995
(C2×C16).33C22 = Q64⋊C2φ: C22/C1C22 ⊆ Aut C2×C16644-(C2xC16).33C2^2128,996
(C2×C16).34C22 = C2×Q32⋊C2φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).34C2^2128,2145
(C2×C16).35C22 = Q8○D16φ: C22/C1C22 ⊆ Aut C2×C16644-(C2xC16).35C2^2128,2149
(C2×C16).36C22 = Q167D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).36C2^2128,917
(C2×C16).37C22 = D8.10D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).37C2^2128,921
(C2×C16).38C22 = Q16.D4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).38C2^2128,925
(C2×C16).39C22 = Q162D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).39C2^2128,939
(C2×C16).40C22 = D8.4D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).40C2^2128,940
(C2×C16).41C22 = D8.5D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).41C2^2128,942
(C2×C16).42C22 = Q16⋊Q8φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).42C2^2128,957
(C2×C16).43C22 = D8⋊Q8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).43C2^2128,958
(C2×C16).44C22 = D8.Q8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).44C2^2128,960
(C2×C16).45C22 = C23.49D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).45C2^2128,965
(C2×C16).46C22 = C23.19D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).46C2^2128,966
(C2×C16).47C22 = C23.50D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).47C2^2128,967
(C2×C16).48C22 = C32⋊C4φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).48C2^2128,130
(C2×C16).49C22 = C23.C16φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).49C2^2128,132
(C2×C16).50C22 = C23.39D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).50C2^2128,871
(C2×C16).51C22 = C23.41D8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).51C2^2128,873
(C2×C16).52C22 = C4⋊M5(2)φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).52C2^2128,882
(C2×C16).53C22 = C42.6C8φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).53C2^2128,895
(C2×C16).54C22 = C169D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).54C2^2128,900
(C2×C16).55C22 = C166D4φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).55C2^2128,901
(C2×C16).56C22 = D8.C8φ: C22/C1C22 ⊆ Aut C2×C16324(C2xC16).56C2^2128,903
(C2×C16).57C22 = C164Q8φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).57C2^2128,915
(C2×C16).58C22 = C8.12SD16φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).58C2^2128,975
(C2×C16).59C22 = C8.13SD16φ: C22/C1C22 ⊆ Aut C2×C1664(C2xC16).59C2^2128,976
(C2×C16).60C22 = C8.14SD16φ: C22/C1C22 ⊆ Aut C2×C16128(C2xC16).60C2^2128,977
(C2×C16).61C22 = (C2×D4).5C8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).61C2^2128,845
(C2×C16).62C22 = C2×C2.Q32φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).62C2^2128,869
(C2×C16).63C22 = C23.24D8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).63C2^2128,870
(C2×C16).64C22 = C2×C4⋊C16φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).64C2^2128,881
(C2×C16).65C22 = C4⋊C4.7C8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).65C2^2128,883
(C2×C16).66C22 = C42.13C8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).66C2^2128,894
(C2×C16).67C22 = C8.12M4(2)φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).67C2^2128,896
(C2×C16).68C22 = C16○D8φ: C22/C2C2 ⊆ Aut C2×C16322(C2xC16).68C2^2128,902
(C2×C16).69C22 = C4×D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).69C2^2128,904
(C2×C16).70C22 = C4×SD32φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).70C2^2128,905
(C2×C16).71C22 = C4×Q32φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).71C2^2128,906
(C2×C16).72C22 = C4.4D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).72C2^2128,972
(C2×C16).73C22 = C4.SD32φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).73C2^2128,973
(C2×C16).74C22 = C8.22SD16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).74C2^2128,974
(C2×C16).75C22 = D162C4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).75C2^2128,147
(C2×C16).76C22 = Q322C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).76C2^2128,148
(C2×C16).77C22 = C323C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).77C2^2128,155
(C2×C16).78C22 = C324C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).78C2^2128,156
(C2×C16).79C22 = C2×C163C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).79C2^2128,888
(C2×C16).80C22 = C23.25D8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).80C2^2128,890
(C2×C16).81C22 = C167D4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).81C2^2128,947
(C2×C16).82C22 = C16.19D4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).82C2^2128,948
(C2×C16).83C22 = C4⋊D16φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).83C2^2128,978
(C2×C16).84C22 = C4⋊Q32φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).84C2^2128,979
(C2×C16).85C22 = C8.21D8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).85C2^2128,981
(C2×C16).86C22 = C162Q8φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).86C2^2128,984
(C2×C16).87C22 = C16.5Q8φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).87C2^2128,985
(C2×C16).88C22 = C2×D32φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).88C2^2128,991
(C2×C16).89C22 = C2×SD64φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).89C2^2128,992
(C2×C16).90C22 = C2×Q64φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).90C2^2128,993
(C2×C16).91C22 = C22×Q32φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).91C2^2128,2142
(C2×C16).92C22 = D16.C4φ: C22/C2C2 ⊆ Aut C2×C16642(C2xC16).92C2^2128,149
(C2×C16).93C22 = C32.C4φ: C22/C2C2 ⊆ Aut C2×C16642(C2xC16).93C2^2128,157
(C2×C16).94C22 = C2×C8.4Q8φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).94C2^2128,892
(C2×C16).95C22 = C8○D16φ: C22/C2C2 ⊆ Aut C2×C16322(C2xC16).95C2^2128,910
(C2×C16).96C22 = C4○D32φ: C22/C2C2 ⊆ Aut C2×C16642(C2xC16).96C2^2128,994
(C2×C16).97C22 = C2×C164C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).97C2^2128,889
(C2×C16).98C22 = C168D4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).98C2^2128,949
(C2×C16).99C22 = C165D4φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).99C2^2128,980
(C2×C16).100C22 = C163Q8φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).100C2^2128,986
(C2×C16).101C22 = D4.C16φ: C22/C2C2 ⊆ Aut C2×C16642(C2xC16).101C2^2128,133
(C2×C16).102C22 = C8.C16φ: C22/C2C2 ⊆ Aut C2×C16322(C2xC16).102C2^2128,154
(C2×C16).103C22 = C2×C165C4φ: C22/C2C2 ⊆ Aut C2×C16128(C2xC16).103C2^2128,838
(C2×C16).104C22 = C4×M5(2)φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).104C2^2128,839
(C2×C16).105C22 = C162M5(2)φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).105C2^2128,840
(C2×C16).106C22 = C2×M6(2)φ: C22/C2C2 ⊆ Aut C2×C1664(C2xC16).106C2^2128,989
(C2×C16).107C22 = D4○C32φ: C22/C2C2 ⊆ Aut C2×C16642(C2xC16).107C2^2128,990
(C2×C16).108C22 = C325C4central extension (φ=1)128(C2xC16).108C2^2128,129
(C2×C16).109C22 = C22⋊C32central extension (φ=1)64(C2xC16).109C2^2128,131
(C2×C16).110C22 = C4⋊C32central extension (φ=1)128(C2xC16).110C2^2128,153
(C2×C16).111C22 = D4×C16central extension (φ=1)64(C2xC16).111C2^2128,899
(C2×C16).112C22 = Q8×C16central extension (φ=1)128(C2xC16).112C2^2128,914

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