Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C5⋊S4

Direct product G=N×Q with N=C2 and Q=C2×C5⋊S4
dρLabelID
C22×C5⋊S460C2^2xC5:S4480,1199


Non-split extensions G=N.Q with N=C2 and Q=C2×C5⋊S4
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C5⋊S4) = C4×C5⋊S4central extension (φ=1)606C2.1(C2xC5:S4)480,1025
C2.2(C2×C5⋊S4) = C2×A4⋊Dic5central extension (φ=1)120C2.2(C2xC5:S4)480,1033
C2.3(C2×C5⋊S4) = C20.1S4central stem extension (φ=1)1206-C2.3(C2xC5:S4)480,1024
C2.4(C2×C5⋊S4) = C20⋊S4central stem extension (φ=1)606+C2.4(C2xC5:S4)480,1026
C2.5(C2×C5⋊S4) = C2×Q8.D15central stem extension (φ=1)160C2.5(C2xC5:S4)480,1027
C2.6(C2×C5⋊S4) = C2×Q8⋊D15central stem extension (φ=1)80C2.6(C2xC5:S4)480,1028
C2.7(C2×C5⋊S4) = Q8.D30central stem extension (φ=1)804C2.7(C2xC5:S4)480,1029
C2.8(C2×C5⋊S4) = C20.2S4central stem extension (φ=1)1604-C2.8(C2xC5:S4)480,1030
C2.9(C2×C5⋊S4) = C20.6S4central stem extension (φ=1)804C2.9(C2xC5:S4)480,1031
C2.10(C2×C5⋊S4) = C20.3S4central stem extension (φ=1)804+C2.10(C2xC5:S4)480,1032
C2.11(C2×C5⋊S4) = C242D15central stem extension (φ=1)606C2.11(C2xC5:S4)480,1034

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