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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D8

Direct product G=N×Q with N=C22 and Q=C2×D8
dρLabelID
C23×D864C2^3xD8128,2306

Semidirect products G=N:Q with N=C22 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×D8) = C2×C8⋊7D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C2264C2^2:1(C2xD8)128,1780
C22⋊2(C2×D8) = D4×D8φ: C2×D8/D8 → C2 ⊆ Aut C2232C2^2:2(C2xD8)128,2011
C22⋊3(C2×D8) = C2×C22⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2:3(C2xD8)128,1728

Non-split extensions G=N.Q with N=C22 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D8) = C42.366D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C2264C2^2.1(C2xD8)128,1901
C22.2(C2×D8) = C42.293D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C2264C2^2.2(C2xD8)128,1977
C22.3(C2×D8) = C2×C4○D16φ: C2×D8/C2×C8 → C2 ⊆ Aut C2264C2^2.3(C2xD8)128,2143
C22.4(C2×D8) = D4⋊4D8φ: C2×D8/D8 → C2 ⊆ Aut C2232C2^2.4(C2xD8)128,2026
C22.5(C2×D8) = D4⋊5D8φ: C2×D8/D8 → C2 ⊆ Aut C2264C2^2.5(C2xD8)128,2066
C22.6(C2×D8) = D4○D16φ: C2×D8/D8 → C2 ⊆ Aut C22324+C2^2.6(C2xD8)128,2147
C22.7(C2×D8) = D4○SD32φ: C2×D8/D8 → C2 ⊆ Aut C22324C2^2.7(C2xD8)128,2148
C22.8(C2×D8) = Q8○D16φ: C2×D8/D8 → C2 ⊆ Aut C22644-C2^2.8(C2xD8)128,2149
C22.9(C2×D8) = C2×C22.SD16φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.9(C2xD8)128,230
C22.10(C2×D8) = C42.403D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.10(C2xD8)128,234
C22.11(C2×D8) = C42.61D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.11(C2xD8)128,249
C22.12(C2×D8) = C24.60D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.12(C2xD8)128,251
C22.13(C2×D8) = C23⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2216C2^2.13(C2xD8)128,327
C22.14(C2×D8) = (C2×C4)⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.14(C2xD8)128,330
C22.15(C2×D8) = C23.5D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.15(C2xD8)128,339
C22.16(C2×D8) = (C2×C4).5D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.16(C2xD8)128,342
C22.17(C2×D8) = C2×D8⋊2C4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.17(C2xD8)128,876
C22.18(C2×D8) = C23.13D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C22324C2^2.18(C2xD8)128,877
C22.19(C2×D8) = D8⋊D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C22168+C2^2.19(C2xD8)128,922
C22.20(C2×D8) = D8.D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C22328-C2^2.20(C2xD8)128,923
C22.21(C2×D8) = C2×C22.D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2264C2^2.21(C2xD8)128,1817
C22.22(C2×D8) = C42.221D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.22(C2xD8)128,1832
C22.23(C2×D8) = C23⋊3D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.23(C2xD8)128,1918
C22.24(C2×D8) = C42.263D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2232C2^2.24(C2xD8)128,1937
C22.25(C2×D8) = C42.278D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C2264C2^2.25(C2xD8)128,1958
C22.26(C2×D8) = D16⋊C22φ: C2×D8/C2×D4 → C2 ⊆ Aut C22324C2^2.26(C2xD8)128,2146
C22.27(C2×D8) = C2×C22.4Q16central extension (φ=1)128C2^2.27(C2xD8)128,466
C22.28(C2×D8) = C4×D4⋊C4central extension (φ=1)64C2^2.28(C2xD8)128,492
C22.29(C2×D8) = C4×C2.D8central extension (φ=1)128C2^2.29(C2xD8)128,507
C22.30(C2×D8) = C23.35D8central extension (φ=1)32C2^2.30(C2xD8)128,518
C22.31(C2×D8) = C42.98D4central extension (φ=1)64C2^2.31(C2xD8)128,534
C22.32(C2×D8) = C23.22D8central extension (φ=1)64C2^2.32(C2xD8)128,540
C22.33(C2×D8) = C23.36D8central extension (φ=1)64C2^2.33(C2xD8)128,555
C22.34(C2×D8) = C42.55Q8central extension (φ=1)128C2^2.34(C2xD8)128,566
C22.35(C2×D8) = C42.59Q8central extension (φ=1)128C2^2.35(C2xD8)128,577
C22.36(C2×D8) = C23.37D8central extension (φ=1)64C2^2.36(C2xD8)128,584
C22.37(C2×D8) = C2.(C4×D8)central extension (φ=1)64C2^2.37(C2xD8)128,594
C22.38(C2×D8) = C23.38D8central extension (φ=1)64C2^2.38(C2xD8)128,606
C22.39(C2×D8) = (C2×C4)⋊9D8central extension (φ=1)64C2^2.39(C2xD8)128,611
C22.40(C2×D8) = C23.23D8central extension (φ=1)64C2^2.40(C2xD8)128,625
C22.41(C2×D8) = C2.D8⋊4C4central extension (φ=1)128C2^2.41(C2xD8)128,650
C22.42(C2×D8) = D4⋊C4⋊C4central extension (φ=1)64C2^2.42(C2xD8)128,657
C22.43(C2×D8) = C2.(C8⋊7D4)central extension (φ=1)64C2^2.43(C2xD8)128,666
C22.44(C2×D8) = C8⋊5(C4⋊C4)central extension (φ=1)128C2^2.44(C2xD8)128,674
C22.45(C2×D8) = C42.29Q8central extension (φ=1)128C2^2.45(C2xD8)128,679
C22.46(C2×D8) = C42.432D4central extension (φ=1)64C2^2.46(C2xD8)128,689
C22.47(C2×D8) = (C2×C4)⋊6D8central extension (φ=1)64C2^2.47(C2xD8)128,702
C22.48(C2×D8) = C42.118D4central extension (φ=1)64C2^2.48(C2xD8)128,714
C22.49(C2×D8) = C42.122D4central extension (φ=1)128C2^2.49(C2xD8)128,720
C22.50(C2×D8) = C42.436D4central extension (φ=1)128C2^2.50(C2xD8)128,722
C22.51(C2×D8) = C2×C2.D16central extension (φ=1)64C2^2.51(C2xD8)128,868
C22.52(C2×D8) = C2×C2.Q32central extension (φ=1)128C2^2.52(C2xD8)128,869
C22.53(C2×D8) = C23.24D8central extension (φ=1)64C2^2.53(C2xD8)128,870
C22.54(C2×D8) = C23.39D8central extension (φ=1)64C2^2.54(C2xD8)128,871
C22.55(C2×D8) = C23.40D8central extension (φ=1)32C2^2.55(C2xD8)128,872
C22.56(C2×D8) = C23.41D8central extension (φ=1)64C2^2.56(C2xD8)128,873
C22.57(C2×D8) = C2×C16⋊3C4central extension (φ=1)128C2^2.57(C2xD8)128,888
C22.58(C2×D8) = C2×C16⋊4C4central extension (φ=1)128C2^2.58(C2xD8)128,889
C22.59(C2×D8) = C23.25D8central extension (φ=1)64C2^2.59(C2xD8)128,890
C22.60(C2×D8) = M5(2)⋊1C4central extension (φ=1)64C2^2.60(C2xD8)128,891
C22.61(C2×D8) = C4×D16central extension (φ=1)64C2^2.61(C2xD8)128,904
C22.62(C2×D8) = C4×SD32central extension (φ=1)64C2^2.62(C2xD8)128,905
C22.63(C2×D8) = C4×Q32central extension (φ=1)128C2^2.63(C2xD8)128,906
C22.64(C2×D8) = SD32⋊3C4central extension (φ=1)64C2^2.64(C2xD8)128,907
C22.65(C2×D8) = Q32⋊4C4central extension (φ=1)128C2^2.65(C2xD8)128,908
C22.66(C2×D8) = D16⋊4C4central extension (φ=1)64C2^2.66(C2xD8)128,909
C22.67(C2×D8) = C22×D4⋊C4central extension (φ=1)64C2^2.67(C2xD8)128,1622
C22.68(C2×D8) = C22×C2.D8central extension (φ=1)128C2^2.68(C2xD8)128,1640
C22.69(C2×D8) = C2×C4×D8central extension (φ=1)64C2^2.69(C2xD8)128,1668
C22.70(C2×D8) = C2×C4⋊D8central extension (φ=1)64C2^2.70(C2xD8)128,1761
C22.71(C2×D8) = C2×D4⋊Q8central extension (φ=1)64C2^2.71(C2xD8)128,1802
C22.72(C2×D8) = C2×C4.4D8central extension (φ=1)64C2^2.72(C2xD8)128,1860
C22.73(C2×D8) = C2×C8⋊4D4central extension (φ=1)64C2^2.73(C2xD8)128,1876
C22.74(C2×D8) = C2×C8⋊2Q8central extension (φ=1)128C2^2.74(C2xD8)128,1891
C22.75(C2×D8) = C22×D16central extension (φ=1)64C2^2.75(C2xD8)128,2140
C22.76(C2×D8) = C22×SD32central extension (φ=1)64C2^2.76(C2xD8)128,2141
C22.77(C2×D8) = C22×Q32central extension (φ=1)128C2^2.77(C2xD8)128,2142
C22.78(C2×D8) = C2×C16⋊C22central extension (φ=1)32C2^2.78(C2xD8)128,2144
C22.79(C2×D8) = C2×Q32⋊C2central extension (φ=1)64C2^2.79(C2xD8)128,2145
C22.80(C2×D8) = C23⋊2D8central stem extension (φ=1)64C2^2.80(C2xD8)128,731
C22.81(C2×D8) = (C2×C4)⋊2D8central stem extension (φ=1)64C2^2.81(C2xD8)128,743
C22.82(C2×D8) = (C2×D4)⋊Q8central stem extension (φ=1)64C2^2.82(C2xD8)128,755
C22.83(C2×D8) = C24.83D4central stem extension (φ=1)64C2^2.83(C2xD8)128,765
C22.84(C2×D8) = C4⋊C4⋊7D4central stem extension (φ=1)64C2^2.84(C2xD8)128,773
C22.85(C2×D8) = (C2×C4)⋊3D8central stem extension (φ=1)64C2^2.85(C2xD8)128,786
C22.86(C2×D8) = C4⋊C4⋊Q8central stem extension (φ=1)128C2^2.86(C2xD8)128,789
C22.87(C2×D8) = (C2×C4).23D8central stem extension (φ=1)64C2^2.87(C2xD8)128,799
C22.88(C2×D8) = (C2×C4).24D8central stem extension (φ=1)64C2^2.88(C2xD8)128,803
C22.89(C2×D8) = C23.12D8central stem extension (φ=1)64C2^2.89(C2xD8)128,807
C22.90(C2×D8) = (C2×C8).1Q8central stem extension (φ=1)128C2^2.90(C2xD8)128,815
C22.91(C2×D8) = (C2×C4).26D8central stem extension (φ=1)128C2^2.91(C2xD8)128,818
C22.92(C2×D8) = (C2×C4).27D8central stem extension (φ=1)64C2^2.92(C2xD8)128,825
C22.93(C2×D8) = (C2×C4).28D8central stem extension (φ=1)128C2^2.93(C2xD8)128,831
C22.94(C2×D8) = D8⋊7D4central stem extension (φ=1)32C2^2.94(C2xD8)128,916
C22.95(C2×D8) = Q16⋊7D4central stem extension (φ=1)64C2^2.95(C2xD8)128,917
C22.96(C2×D8) = D8⋊8D4central stem extension (φ=1)64C2^2.96(C2xD8)128,918
C22.97(C2×D8) = D8.9D4central stem extension (φ=1)32C2^2.97(C2xD8)128,919
C22.98(C2×D8) = Q16.8D4central stem extension (φ=1)64C2^2.98(C2xD8)128,920
C22.99(C2×D8) = D8.10D4central stem extension (φ=1)64C2^2.99(C2xD8)128,921
C22.100(C2×D8) = D8⋊2D4central stem extension (φ=1)64C2^2.100(C2xD8)128,938
C22.101(C2×D8) = Q16⋊2D4central stem extension (φ=1)64C2^2.101(C2xD8)128,939
C22.102(C2×D8) = D8.4D4central stem extension (φ=1)64C2^2.102(C2xD8)128,940
C22.103(C2×D8) = Q16.4D4central stem extension (φ=1)128C2^2.103(C2xD8)128,941
C22.104(C2×D8) = D8.5D4central stem extension (φ=1)64C2^2.104(C2xD8)128,942
C22.105(C2×D8) = Q16.5D4central stem extension (φ=1)64C2^2.105(C2xD8)128,943
C22.106(C2×D8) = C16⋊7D4central stem extension (φ=1)64C2^2.106(C2xD8)128,947
C22.107(C2×D8) = C16.19D4central stem extension (φ=1)64C2^2.107(C2xD8)128,948
C22.108(C2×D8) = C16⋊8D4central stem extension (φ=1)64C2^2.108(C2xD8)128,949
C22.109(C2×D8) = C16⋊D4central stem extension (φ=1)64C2^2.109(C2xD8)128,950
C22.110(C2×D8) = C16.D4central stem extension (φ=1)64C2^2.110(C2xD8)128,951
C22.111(C2×D8) = C16⋊2D4central stem extension (φ=1)64C2^2.111(C2xD8)128,952
C22.112(C2×D8) = D8⋊1Q8central stem extension (φ=1)64C2^2.112(C2xD8)128,956
C22.113(C2×D8) = Q16⋊Q8central stem extension (φ=1)128C2^2.113(C2xD8)128,957
C22.114(C2×D8) = D8⋊Q8central stem extension (φ=1)64C2^2.114(C2xD8)128,958
C22.115(C2×D8) = C4.Q32central stem extension (φ=1)128C2^2.115(C2xD8)128,959
C22.116(C2×D8) = D8.Q8central stem extension (φ=1)64C2^2.116(C2xD8)128,960
C22.117(C2×D8) = Q16.Q8central stem extension (φ=1)128C2^2.117(C2xD8)128,961
C22.118(C2×D8) = C22.D16central stem extension (φ=1)64C2^2.118(C2xD8)128,964
C22.119(C2×D8) = C23.49D8central stem extension (φ=1)64C2^2.119(C2xD8)128,965
C22.120(C2×D8) = C23.19D8central stem extension (φ=1)64C2^2.120(C2xD8)128,966
C22.121(C2×D8) = C23.50D8central stem extension (φ=1)64C2^2.121(C2xD8)128,967
C22.122(C2×D8) = C23.51D8central stem extension (φ=1)64C2^2.122(C2xD8)128,968
C22.123(C2×D8) = C23.20D8central stem extension (φ=1)64C2^2.123(C2xD8)128,969
C22.124(C2×D8) = C4.4D16central stem extension (φ=1)64C2^2.124(C2xD8)128,972
C22.125(C2×D8) = C4.SD32central stem extension (φ=1)128C2^2.125(C2xD8)128,973
C22.126(C2×D8) = C8.22SD16central stem extension (φ=1)64C2^2.126(C2xD8)128,974
C22.127(C2×D8) = C8.12SD16central stem extension (φ=1)64C2^2.127(C2xD8)128,975
C22.128(C2×D8) = C8.13SD16central stem extension (φ=1)64C2^2.128(C2xD8)128,976
C22.129(C2×D8) = C8.14SD16central stem extension (φ=1)128C2^2.129(C2xD8)128,977
C22.130(C2×D8) = C4⋊D16central stem extension (φ=1)64C2^2.130(C2xD8)128,978
C22.131(C2×D8) = C4⋊Q32central stem extension (φ=1)128C2^2.131(C2xD8)128,979
C22.132(C2×D8) = C16⋊5D4central stem extension (φ=1)64C2^2.132(C2xD8)128,980
C22.133(C2×D8) = C8.21D8central stem extension (φ=1)64C2^2.133(C2xD8)128,981
C22.134(C2×D8) = C16⋊3D4central stem extension (φ=1)64C2^2.134(C2xD8)128,982
C22.135(C2×D8) = C8.7D8central stem extension (φ=1)64C2^2.135(C2xD8)128,983
C22.136(C2×D8) = C16⋊2Q8central stem extension (φ=1)128C2^2.136(C2xD8)128,984
C22.137(C2×D8) = C16.5Q8central stem extension (φ=1)128C2^2.137(C2xD8)128,985
C22.138(C2×D8) = C16⋊3Q8central stem extension (φ=1)128C2^2.138(C2xD8)128,986
C22.139(C2×D8) = C16⋊Q8central stem extension (φ=1)128C2^2.139(C2xD8)128,987

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