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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4⋊1D4

Direct product G=N×Q with N=C2 and Q=C2×C4⋊1D4
dρLabelID
C22×C4⋊1D464C2^2xC4:1D4128,2172


Non-split extensions G=N.Q with N=C2 and Q=C2×C4⋊1D4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4⋊1D4) = C2×C42⋊9C4central extension (φ=1)128C2.1(C2xC4:1D4)128,1016
C2.2(C2×C4⋊1D4) = C2×C24.3C22central extension (φ=1)64C2.2(C2xC4:1D4)128,1024
C2.3(C2×C4⋊1D4) = C4×C4⋊1D4central extension (φ=1)64C2.3(C2xC4:1D4)128,1038
C2.4(C2×C4⋊1D4) = C2×C23⋊2D4central stem extension (φ=1)64C2.4(C2xC4:1D4)128,1116
C2.5(C2×C4⋊1D4) = C2×C23.4Q8central stem extension (φ=1)64C2.5(C2xC4:1D4)128,1125
C2.6(C2×C4⋊1D4) = C42⋊16D4central stem extension (φ=1)64C2.6(C2xC4:1D4)128,1129
C2.7(C2×C4⋊1D4) = C23.333C24central stem extension (φ=1)32C2.7(C2xC4:1D4)128,1165
C2.8(C2×C4⋊1D4) = C23.401C24central stem extension (φ=1)64C2.8(C2xC4:1D4)128,1233
C2.9(C2×C4⋊1D4) = C23.439C24central stem extension (φ=1)32C2.9(C2xC4:1D4)128,1271
C2.10(C2×C4⋊1D4) = C42⋊19D4central stem extension (φ=1)64C2.10(C2xC4:1D4)128,1272
C2.11(C2×C4⋊1D4) = C42⋊20D4central stem extension (φ=1)64C2.11(C2xC4:1D4)128,1273
C2.12(C2×C4⋊1D4) = C42.167D4central stem extension (φ=1)64C2.12(C2xC4:1D4)128,1274
C2.13(C2×C4⋊1D4) = C23.556C24central stem extension (φ=1)64C2.13(C2xC4:1D4)128,1388
C2.14(C2×C4⋊1D4) = C42⋊31D4central stem extension (φ=1)64C2.14(C2xC4:1D4)128,1389
C2.15(C2×C4⋊1D4) = C42.196D4central stem extension (φ=1)64C2.15(C2xC4:1D4)128,1390
C2.16(C2×C4⋊1D4) = C42⋊47D4central stem extension (φ=1)64C2.16(C2xC4:1D4)128,1588
C2.17(C2×C4⋊1D4) = C43⋊12C2central stem extension (φ=1)64C2.17(C2xC4:1D4)128,1590
C2.18(C2×C4⋊1D4) = C43⋊15C2central stem extension (φ=1)64C2.18(C2xC4:1D4)128,1599
C2.19(C2×C4⋊1D4) = C42⋊19Q8central stem extension (φ=1)128C2.19(C2xC4:1D4)128,1600
C2.20(C2×C4⋊1D4) = C2×C8⋊5D4central stem extension (φ=1)64C2.20(C2xC4:1D4)128,1875
C2.21(C2×C4⋊1D4) = C2×C8⋊4D4central stem extension (φ=1)64C2.21(C2xC4:1D4)128,1876
C2.22(C2×C4⋊1D4) = C2×C4⋊Q16central stem extension (φ=1)128C2.22(C2xC4:1D4)128,1877
C2.23(C2×C4⋊1D4) = C2×C8.12D4central stem extension (φ=1)64C2.23(C2xC4:1D4)128,1878
C2.24(C2×C4⋊1D4) = C42.360D4central stem extension (φ=1)64C2.24(C2xC4:1D4)128,1879
C2.25(C2×C4⋊1D4) = C2×C8⋊3D4central stem extension (φ=1)64C2.25(C2xC4:1D4)128,1880
C2.26(C2×C4⋊1D4) = C2×C8.2D4central stem extension (φ=1)64C2.26(C2xC4:1D4)128,1881
C2.27(C2×C4⋊1D4) = C42.247D4central stem extension (φ=1)64C2.27(C2xC4:1D4)128,1882
C2.28(C2×C4⋊1D4) = M4(2)⋊7D4central stem extension (φ=1)32C2.28(C2xC4:1D4)128,1883
C2.29(C2×C4⋊1D4) = M4(2)⋊8D4central stem extension (φ=1)64C2.29(C2xC4:1D4)128,1884
C2.30(C2×C4⋊1D4) = M4(2)⋊9D4central stem extension (φ=1)32C2.30(C2xC4:1D4)128,1885
C2.31(C2×C4⋊1D4) = M4(2)⋊10D4central stem extension (φ=1)32C2.31(C2xC4:1D4)128,1886
C2.32(C2×C4⋊1D4) = M4(2)⋊11D4central stem extension (φ=1)32C2.32(C2xC4:1D4)128,1887
C2.33(C2×C4⋊1D4) = M4(2).20D4central stem extension (φ=1)64C2.33(C2xC4:1D4)128,1888

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