Extensions 1→N→G→Q→1 with N=C8 and Q=C2×D4

Direct product G=N×Q with N=C8 and Q=C2×D4
dρLabelID
D4×C2×C864D4xC2xC8128,1658

Semidirect products G=N:Q with N=C8 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C81(C2×D4) = M4(2)⋊7D4φ: C2×D4/C4C22 ⊆ Aut C832C8:1(C2xD4)128,1883
C82(C2×D4) = D84D4φ: C2×D4/C4C22 ⊆ Aut C832C8:2(C2xD4)128,2004
C83(C2×D4) = SD161D4φ: C2×D4/C4C22 ⊆ Aut C832C8:3(C2xD4)128,2006
C84(C2×D4) = C2×C8⋊D4φ: C2×D4/C22C22 ⊆ Aut C864C8:4(C2xD4)128,1783
C85(C2×D4) = C2×C82D4φ: C2×D4/C22C22 ⊆ Aut C864C8:5(C2xD4)128,1784
C86(C2×D4) = M4(2)⋊14D4φ: C2×D4/C22C22 ⊆ Aut C832C8:6(C2xD4)128,1787
C87(C2×D4) = C2×C83D4φ: C2×D4/C22C22 ⊆ Aut C864C8:7(C2xD4)128,1880
C88(C2×D4) = D89D4φ: C2×D4/C22C22 ⊆ Aut C832C8:8(C2xD4)128,1996
C89(C2×D4) = SD16⋊D4φ: C2×D4/C22C22 ⊆ Aut C832C8:9(C2xD4)128,1997
C810(C2×D4) = C2×C84D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8:10(C2xD4)128,1876
C811(C2×D4) = C2×C85D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8:11(C2xD4)128,1875
C812(C2×D4) = C2×C86D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8:12(C2xD4)128,1660
C813(C2×D4) = D4×D8φ: C2×D4/D4C2 ⊆ Aut C832C8:13(C2xD4)128,2011
C814(C2×D4) = D4×SD16φ: C2×D4/D4C2 ⊆ Aut C832C8:14(C2xD4)128,2013
C815(C2×D4) = D4×M4(2)φ: C2×D4/D4C2 ⊆ Aut C832C8:15(C2xD4)128,1666
C816(C2×D4) = C2×C87D4φ: C2×D4/C23C2 ⊆ Aut C864C8:16(C2xD4)128,1780
C817(C2×D4) = C2×C88D4φ: C2×D4/C23C2 ⊆ Aut C864C8:17(C2xD4)128,1779
C818(C2×D4) = C2×C89D4φ: C2×D4/C23C2 ⊆ Aut C864C8:18(C2xD4)128,1659

Non-split extensions G=N.Q with N=C8 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C8.1(C2×D4) = M4(2)⋊8D4φ: C2×D4/C4C22 ⊆ Aut C864C8.1(C2xD4)128,1884
C8.2(C2×D4) = M4(2)⋊9D4φ: C2×D4/C4C22 ⊆ Aut C832C8.2(C2xD4)128,1885
C8.3(C2×D4) = M4(2)⋊10D4φ: C2×D4/C4C22 ⊆ Aut C832C8.3(C2xD4)128,1886
C8.4(C2×D4) = M4(2)⋊11D4φ: C2×D4/C4C22 ⊆ Aut C832C8.4(C2xD4)128,1887
C8.5(C2×D4) = M4(2).20D4φ: C2×D4/C4C22 ⊆ Aut C864C8.5(C2xD4)128,1888
C8.6(C2×D4) = D85D4φ: C2×D4/C4C22 ⊆ Aut C832C8.6(C2xD4)128,2005
C8.7(C2×D4) = SD162D4φ: C2×D4/C4C22 ⊆ Aut C832C8.7(C2xD4)128,2007
C8.8(C2×D4) = SD163D4φ: C2×D4/C4C22 ⊆ Aut C864C8.8(C2xD4)128,2008
C8.9(C2×D4) = Q164D4φ: C2×D4/C4C22 ⊆ Aut C864C8.9(C2xD4)128,2009
C8.10(C2×D4) = Q165D4φ: C2×D4/C4C22 ⊆ Aut C864C8.10(C2xD4)128,2010
C8.11(C2×D4) = D8○SD16φ: C2×D4/C4C22 ⊆ Aut C8324C8.11(C2xD4)128,2022
C8.12(C2×D4) = D86D4φ: C2×D4/C4C22 ⊆ Aut C8164C8.12(C2xD4)128,2023
C8.13(C2×D4) = D8○D8φ: C2×D4/C4C22 ⊆ Aut C8164+C8.13(C2xD4)128,2024
C8.14(C2×D4) = D8○Q16φ: C2×D4/C4C22 ⊆ Aut C8324-C8.14(C2xD4)128,2025
C8.15(C2×D4) = D4○D16φ: C2×D4/C4C22 ⊆ Aut C8324+C8.15(C2xD4)128,2147
C8.16(C2×D4) = D4○SD32φ: C2×D4/C4C22 ⊆ Aut C8324C8.16(C2xD4)128,2148
C8.17(C2×D4) = Q8○D16φ: C2×D4/C4C22 ⊆ Aut C8644-C8.17(C2xD4)128,2149
C8.18(C2×D4) = D8⋊D4φ: C2×D4/C22C22 ⊆ Aut C8168+C8.18(C2xD4)128,922
C8.19(C2×D4) = D8.D4φ: C2×D4/C22C22 ⊆ Aut C8328-C8.19(C2xD4)128,923
C8.20(C2×D4) = C2×C8.D4φ: C2×D4/C22C22 ⊆ Aut C864C8.20(C2xD4)128,1785
C8.21(C2×D4) = C24.110D4φ: C2×D4/C22C22 ⊆ Aut C832C8.21(C2xD4)128,1786
C8.22(C2×D4) = M4(2)⋊15D4φ: C2×D4/C22C22 ⊆ Aut C832C8.22(C2xD4)128,1788
C8.23(C2×D4) = M4(2)⋊16D4φ: C2×D4/C22C22 ⊆ Aut C832C8.23(C2xD4)128,1794
C8.24(C2×D4) = M4(2)⋊17D4φ: C2×D4/C22C22 ⊆ Aut C864C8.24(C2xD4)128,1795
C8.25(C2×D4) = M4(2).37D4φ: C2×D4/C22C22 ⊆ Aut C8168+C8.25(C2xD4)128,1800
C8.26(C2×D4) = M4(2).38D4φ: C2×D4/C22C22 ⊆ Aut C8328-C8.26(C2xD4)128,1801
C8.27(C2×D4) = C2×C8.2D4φ: C2×D4/C22C22 ⊆ Aut C864C8.27(C2xD4)128,1881
C8.28(C2×D4) = C42.247D4φ: C2×D4/C22C22 ⊆ Aut C864C8.28(C2xD4)128,1882
C8.29(C2×D4) = SD166D4φ: C2×D4/C22C22 ⊆ Aut C832C8.29(C2xD4)128,1998
C8.30(C2×D4) = D810D4φ: C2×D4/C22C22 ⊆ Aut C832C8.30(C2xD4)128,1999
C8.31(C2×D4) = SD167D4φ: C2×D4/C22C22 ⊆ Aut C832C8.31(C2xD4)128,2000
C8.32(C2×D4) = SD168D4φ: C2×D4/C22C22 ⊆ Aut C864C8.32(C2xD4)128,2001
C8.33(C2×D4) = Q169D4φ: C2×D4/C22C22 ⊆ Aut C864C8.33(C2xD4)128,2002
C8.34(C2×D4) = Q1610D4φ: C2×D4/C22C22 ⊆ Aut C864C8.34(C2xD4)128,2003
C8.35(C2×D4) = D811D4φ: C2×D4/C22C22 ⊆ Aut C8168+C8.35(C2xD4)128,2020
C8.36(C2×D4) = D8.13D4φ: C2×D4/C22C22 ⊆ Aut C8328-C8.36(C2xD4)128,2021
C8.37(C2×D4) = C2×C16⋊C22φ: C2×D4/C22C22 ⊆ Aut C832C8.37(C2xD4)128,2144
C8.38(C2×D4) = C2×Q32⋊C2φ: C2×D4/C22C22 ⊆ Aut C864C8.38(C2xD4)128,2145
C8.39(C2×D4) = C4⋊D16φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.39(C2xD4)128,978
C8.40(C2×D4) = C4⋊Q32φ: C2×D4/C2×C4C2 ⊆ Aut C8128C8.40(C2xD4)128,979
C8.41(C2×D4) = C165D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.41(C2xD4)128,980
C8.42(C2×D4) = C8.21D8φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.42(C2xD4)128,981
C8.43(C2×D4) = C163D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.43(C2xD4)128,982
C8.44(C2×D4) = C8.7D8φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.44(C2xD4)128,983
C8.45(C2×D4) = C2×D32φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.45(C2xD4)128,991
C8.46(C2×D4) = C2×SD64φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.46(C2xD4)128,992
C8.47(C2×D4) = C2×Q64φ: C2×D4/C2×C4C2 ⊆ Aut C8128C8.47(C2xD4)128,993
C8.48(C2×D4) = C4○D32φ: C2×D4/C2×C4C2 ⊆ Aut C8642C8.48(C2xD4)128,994
C8.49(C2×D4) = C32⋊C22φ: C2×D4/C2×C4C2 ⊆ Aut C8324+C8.49(C2xD4)128,995
C8.50(C2×D4) = Q64⋊C2φ: C2×D4/C2×C4C2 ⊆ Aut C8644-C8.50(C2xD4)128,996
C8.51(C2×D4) = C2×C4⋊Q16φ: C2×D4/C2×C4C2 ⊆ Aut C8128C8.51(C2xD4)128,1877
C8.52(C2×D4) = C2×C8.12D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.52(C2xD4)128,1878
C8.53(C2×D4) = C42.360D4φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.53(C2xD4)128,1879
C8.54(C2×D4) = C22×D16φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.54(C2xD4)128,2140
C8.55(C2×D4) = C22×SD32φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.55(C2xD4)128,2141
C8.56(C2×D4) = C22×Q32φ: C2×D4/C2×C4C2 ⊆ Aut C8128C8.56(C2xD4)128,2142
C8.57(C2×D4) = C2×C4○D16φ: C2×D4/C2×C4C2 ⊆ Aut C864C8.57(C2xD4)128,2143
C8.58(C2×D4) = D16⋊C22φ: C2×D4/C2×C4C2 ⊆ Aut C8324C8.58(C2xD4)128,2146
C8.59(C2×D4) = C42.283C23φ: C2×D4/C2×C4C2 ⊆ Aut C8324C8.59(C2xD4)128,1687
C8.60(C2×D4) = D87D4φ: C2×D4/D4C2 ⊆ Aut C832C8.60(C2xD4)128,916
C8.61(C2×D4) = Q167D4φ: C2×D4/D4C2 ⊆ Aut C864C8.61(C2xD4)128,917
C8.62(C2×D4) = D88D4φ: C2×D4/D4C2 ⊆ Aut C864C8.62(C2xD4)128,918
C8.63(C2×D4) = D8.9D4φ: C2×D4/D4C2 ⊆ Aut C832C8.63(C2xD4)128,919
C8.64(C2×D4) = Q16.8D4φ: C2×D4/D4C2 ⊆ Aut C864C8.64(C2xD4)128,920
C8.65(C2×D4) = D8.10D4φ: C2×D4/D4C2 ⊆ Aut C864C8.65(C2xD4)128,921
C8.66(C2×D4) = Q16.10D4φ: C2×D4/D4C2 ⊆ Aut C8324+C8.66(C2xD4)128,924
C8.67(C2×D4) = Q16.D4φ: C2×D4/D4C2 ⊆ Aut C8324C8.67(C2xD4)128,925
C8.68(C2×D4) = D8.3D4φ: C2×D4/D4C2 ⊆ Aut C8324C8.68(C2xD4)128,926
C8.69(C2×D4) = D8.12D4φ: C2×D4/D4C2 ⊆ Aut C8644-C8.69(C2xD4)128,927
C8.70(C2×D4) = D82D4φ: C2×D4/D4C2 ⊆ Aut C864C8.70(C2xD4)128,938
C8.71(C2×D4) = Q162D4φ: C2×D4/D4C2 ⊆ Aut C864C8.71(C2xD4)128,939
C8.72(C2×D4) = D8.4D4φ: C2×D4/D4C2 ⊆ Aut C864C8.72(C2xD4)128,940
C8.73(C2×D4) = Q16.4D4φ: C2×D4/D4C2 ⊆ Aut C8128C8.73(C2xD4)128,941
C8.74(C2×D4) = D8.5D4φ: C2×D4/D4C2 ⊆ Aut C864C8.74(C2xD4)128,942
C8.75(C2×D4) = Q16.5D4φ: C2×D4/D4C2 ⊆ Aut C864C8.75(C2xD4)128,943
C8.76(C2×D4) = C8.3D8φ: C2×D4/D4C2 ⊆ Aut C8324C8.76(C2xD4)128,944
C8.77(C2×D4) = D83D4φ: C2×D4/D4C2 ⊆ Aut C8164+C8.77(C2xD4)128,945
C8.78(C2×D4) = C8.5D8φ: C2×D4/D4C2 ⊆ Aut C8324-C8.78(C2xD4)128,946
C8.79(C2×D4) = D812D4φ: C2×D4/D4C2 ⊆ Aut C832C8.79(C2xD4)128,2012
C8.80(C2×D4) = D813D4φ: C2×D4/D4C2 ⊆ Aut C864C8.80(C2xD4)128,2015
C8.81(C2×D4) = Q1612D4φ: C2×D4/D4C2 ⊆ Aut C864C8.81(C2xD4)128,2017
C8.82(C2×D4) = D4×Q16φ: C2×D4/D4C2 ⊆ Aut C864C8.82(C2xD4)128,2018
C8.83(C2×D4) = Q1613D4φ: C2×D4/D4C2 ⊆ Aut C864C8.83(C2xD4)128,2019
C8.84(C2×D4) = SD1610D4φ: C2×D4/D4C2 ⊆ Aut C832C8.84(C2xD4)128,2014
C8.85(C2×D4) = SD1611D4φ: C2×D4/D4C2 ⊆ Aut C864C8.85(C2xD4)128,2016
C8.86(C2×D4) = M4(2)⋊22D4φ: C2×D4/D4C2 ⊆ Aut C832C8.86(C2xD4)128,1665
C8.87(C2×D4) = M4(2)⋊23D4φ: C2×D4/D4C2 ⊆ Aut C864C8.87(C2xD4)128,1667
C8.88(C2×D4) = M4(2).51D4φ: C2×D4/D4C2 ⊆ Aut C8164C8.88(C2xD4)128,1688
C8.89(C2×D4) = M4(2)○D8φ: C2×D4/D4C2 ⊆ Aut C8324C8.89(C2xD4)128,1689
C8.90(C2×D4) = C2×C2.D16φ: C2×D4/C23C2 ⊆ Aut C864C8.90(C2xD4)128,868
C8.91(C2×D4) = C2×C2.Q32φ: C2×D4/C23C2 ⊆ Aut C8128C8.91(C2xD4)128,869
C8.92(C2×D4) = C23.24D8φ: C2×D4/C23C2 ⊆ Aut C864C8.92(C2xD4)128,870
C8.93(C2×D4) = C23.39D8φ: C2×D4/C23C2 ⊆ Aut C864C8.93(C2xD4)128,871
C8.94(C2×D4) = C23.40D8φ: C2×D4/C23C2 ⊆ Aut C832C8.94(C2xD4)128,872
C8.95(C2×D4) = C23.41D8φ: C2×D4/C23C2 ⊆ Aut C864C8.95(C2xD4)128,873
C8.96(C2×D4) = C2×M5(2)⋊C2φ: C2×D4/C23C2 ⊆ Aut C832C8.96(C2xD4)128,878
C8.97(C2×D4) = C2×C8.17D4φ: C2×D4/C23C2 ⊆ Aut C864C8.97(C2xD4)128,879
C8.98(C2×D4) = C23.21SD16φ: C2×D4/C23C2 ⊆ Aut C8324C8.98(C2xD4)128,880
C8.99(C2×D4) = C167D4φ: C2×D4/C23C2 ⊆ Aut C864C8.99(C2xD4)128,947
C8.100(C2×D4) = C16.19D4φ: C2×D4/C23C2 ⊆ Aut C864C8.100(C2xD4)128,948
C8.101(C2×D4) = C168D4φ: C2×D4/C23C2 ⊆ Aut C864C8.101(C2xD4)128,949
C8.102(C2×D4) = C16⋊D4φ: C2×D4/C23C2 ⊆ Aut C864C8.102(C2xD4)128,950
C8.103(C2×D4) = C16.D4φ: C2×D4/C23C2 ⊆ Aut C864C8.103(C2xD4)128,951
C8.104(C2×D4) = C162D4φ: C2×D4/C23C2 ⊆ Aut C864C8.104(C2xD4)128,952
C8.105(C2×D4) = D4.3D8φ: C2×D4/C23C2 ⊆ Aut C8324+C8.105(C2xD4)128,953
C8.106(C2×D4) = D4.4D8φ: C2×D4/C23C2 ⊆ Aut C8644-C8.106(C2xD4)128,954
C8.107(C2×D4) = D4.5D8φ: C2×D4/C23C2 ⊆ Aut C8324C8.107(C2xD4)128,955
C8.108(C2×D4) = C2×C8.18D4φ: C2×D4/C23C2 ⊆ Aut C864C8.108(C2xD4)128,1781
C8.109(C2×D4) = (C2×C8)⋊12D4φ: C2×D4/C23C2 ⊆ Aut C832C8.109(C2xD4)128,1790
C8.110(C2×D4) = C8.D4⋊C2φ: C2×D4/C23C2 ⊆ Aut C864C8.110(C2xD4)128,1791
C8.111(C2×D4) = (C2×C8)⋊14D4φ: C2×D4/C23C2 ⊆ Aut C864C8.111(C2xD4)128,1793
C8.112(C2×D4) = C2×D4.4D4φ: C2×D4/C23C2 ⊆ Aut C832C8.112(C2xD4)128,1797
C8.113(C2×D4) = C2×D4.5D4φ: C2×D4/C23C2 ⊆ Aut C864C8.113(C2xD4)128,1798
C8.114(C2×D4) = C2×D8.C4φ: C2×D4/C23C2 ⊆ Aut C864C8.114(C2xD4)128,874
C8.115(C2×D4) = C23.20SD16φ: C2×D4/C23C2 ⊆ Aut C8324C8.115(C2xD4)128,875
C8.116(C2×D4) = C2×D82C4φ: C2×D4/C23C2 ⊆ Aut C832C8.116(C2xD4)128,876
C8.117(C2×D4) = C23.13D8φ: C2×D4/C23C2 ⊆ Aut C8324C8.117(C2xD4)128,877
C8.118(C2×D4) = C24.144D4φ: C2×D4/C23C2 ⊆ Aut C832C8.118(C2xD4)128,1782
C8.119(C2×D4) = (C2×C8)⋊11D4φ: C2×D4/C23C2 ⊆ Aut C832C8.119(C2xD4)128,1789
C8.120(C2×D4) = (C2×C8)⋊13D4φ: C2×D4/C23C2 ⊆ Aut C864C8.120(C2xD4)128,1792
C8.121(C2×D4) = C2×D4.3D4φ: C2×D4/C23C2 ⊆ Aut C832C8.121(C2xD4)128,1796
C8.122(C2×D4) = M4(2).10C23φ: C2×D4/C23C2 ⊆ Aut C8324C8.122(C2xD4)128,1799
C8.123(C2×D4) = C2×C23.C8φ: C2×D4/C23C2 ⊆ Aut C832C8.123(C2xD4)128,846
C8.124(C2×D4) = M5(2).19C22φ: C2×D4/C23C2 ⊆ Aut C8324C8.124(C2xD4)128,847
C8.125(C2×D4) = C2×D4.C8φ: C2×D4/C23C2 ⊆ Aut C864C8.125(C2xD4)128,848
C8.126(C2×D4) = M5(2)⋊12C22φ: C2×D4/C23C2 ⊆ Aut C8324C8.126(C2xD4)128,849
C8.127(C2×D4) = C42.265C23φ: C2×D4/C23C2 ⊆ Aut C832C8.127(C2xD4)128,1662
C8.128(C2×D4) = C42.266C23φ: C2×D4/C23C2 ⊆ Aut C864C8.128(C2xD4)128,1664
C8.129(C2×D4) = C2×C8.26D4φ: C2×D4/C23C2 ⊆ Aut C832C8.129(C2xD4)128,1686
C8.130(C2×D4) = C2×C22⋊C16central extension (φ=1)64C8.130(C2xD4)128,843
C8.131(C2×D4) = C24.5C8central extension (φ=1)32C8.131(C2xD4)128,844
C8.132(C2×D4) = (C2×D4).5C8central extension (φ=1)64C8.132(C2xD4)128,845
C8.133(C2×D4) = C2×C4⋊C16central extension (φ=1)128C8.133(C2xD4)128,881
C8.134(C2×D4) = C4⋊M5(2)central extension (φ=1)64C8.134(C2xD4)128,882
C8.135(C2×D4) = C4⋊C4.7C8central extension (φ=1)64C8.135(C2xD4)128,883
C8.136(C2×D4) = C2×C8.C8central extension (φ=1)32C8.136(C2xD4)128,884
C8.137(C2×D4) = M4(2).1C8central extension (φ=1)324C8.137(C2xD4)128,885
C8.138(C2×D4) = D4×C16central extension (φ=1)64C8.138(C2xD4)128,899
C8.139(C2×D4) = C169D4central extension (φ=1)64C8.139(C2xD4)128,900
C8.140(C2×D4) = C166D4central extension (φ=1)64C8.140(C2xD4)128,901
C8.141(C2×D4) = C16○D8central extension (φ=1)322C8.141(C2xD4)128,902
C8.142(C2×D4) = D8.C8central extension (φ=1)324C8.142(C2xD4)128,903
C8.143(C2×D4) = C42.264C23central extension (φ=1)32C8.143(C2xD4)128,1661
C8.144(C2×D4) = C42.681C23central extension (φ=1)64C8.144(C2xD4)128,1663
C8.145(C2×D4) = C2×C8○D8central extension (φ=1)32C8.145(C2xD4)128,1685

׿
×
𝔽