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Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C4⋊F5

Direct product G=N×Q with N=C2 and Q=C2×C4⋊F5
dρLabelID
C22×C4⋊F580C2^2xC4:F5320,1591


Non-split extensions G=N.Q with N=C2 and Q=C2×C4⋊F5
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C4⋊F5) = C42.11F5central extension (φ=1)160C2.1(C2xC4:F5)320,1017
C2.2(C2×C4⋊F5) = C4×C4⋊F5central extension (φ=1)80C2.2(C2xC4:F5)320,1025
C2.3(C2×C4⋊F5) = C2×C20⋊C8central extension (φ=1)320C2.3(C2xC4:F5)320,1085
C2.4(C2×C4⋊F5) = C2×Dic5⋊C8central extension (φ=1)320C2.4(C2xC4:F5)320,1090
C2.5(C2×C4⋊F5) = C2×D10.3Q8central extension (φ=1)80C2.5(C2xC4:F5)320,1100
C2.6(C2×C4⋊F5) = C20⋊3M4(2)central stem extension (φ=1)160C2.6(C2xC4:F5)320,1019
C2.7(C2×C4⋊F5) = C42.14F5central stem extension (φ=1)160C2.7(C2xC4:F5)320,1020
C2.8(C2×C4⋊F5) = C42⋊8F5central stem extension (φ=1)80C2.8(C2xC4:F5)320,1026
C2.9(C2×C4⋊F5) = C42⋊9F5central stem extension (φ=1)80C2.9(C2xC4:F5)320,1027
C2.10(C2×C4⋊F5) = C20⋊C8⋊C2central stem extension (φ=1)160C2.10(C2xC4:F5)320,1034
C2.11(C2×C4⋊F5) = D10⋊(C4⋊C4)central stem extension (φ=1)40C2.11(C2xC4:F5)320,1037
C2.12(C2×C4⋊F5) = C4⋊C4.9F5central stem extension (φ=1)160C2.12(C2xC4:F5)320,1046
C2.13(C2×C4⋊F5) = C20⋊(C4⋊C4)central stem extension (φ=1)80C2.13(C2xC4:F5)320,1050
C2.14(C2×C4⋊F5) = C2×C40⋊C4central stem extension (φ=1)80C2.14(C2xC4:F5)320,1057
C2.15(C2×C4⋊F5) = C2×D5.D8central stem extension (φ=1)80C2.15(C2xC4:F5)320,1058
C2.16(C2×C4⋊F5) = (C2×C8)⋊6F5central stem extension (φ=1)804C2.16(C2xC4:F5)320,1059
C2.17(C2×C4⋊F5) = C2×C40.C4central stem extension (φ=1)160C2.17(C2xC4:F5)320,1060
C2.18(C2×C4⋊F5) = C2×D10.Q8central stem extension (φ=1)160C2.18(C2xC4:F5)320,1061
C2.19(C2×C4⋊F5) = (C8×D5).C4central stem extension (φ=1)804C2.19(C2xC4:F5)320,1062
C2.20(C2×C4⋊F5) = M4(2)⋊1F5central stem extension (φ=1)408C2.20(C2xC4:F5)320,1065
C2.21(C2×C4⋊F5) = M4(2).1F5central stem extension (φ=1)808C2.21(C2xC4:F5)320,1067
C2.22(C2×C4⋊F5) = C20⋊8M4(2)central stem extension (φ=1)160C2.22(C2xC4:F5)320,1096
C2.23(C2×C4⋊F5) = D10⋊6(C4⋊C4)central stem extension (φ=1)80C2.23(C2xC4:F5)320,1103

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