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Extensions 1→N→G→Q→1 with N=C2 and Q=D20⋊8C4

Direct product G=N×Q with N=C2 and Q=D20⋊8C4
dρLabelID
C2×D20⋊8C4160C2xD20:8C4320,1175


Non-split extensions G=N.Q with N=C2 and Q=D20⋊8C4
extensionφ:Q→Aut NdρLabelID
C2.1(D20⋊8C4) = D10⋊2C42central extension (φ=1)160C2.1(D20:8C4)320,293
C2.2(D20⋊8C4) = D20⋊5C8central extension (φ=1)160C2.2(D20:8C4)320,461
C2.3(D20⋊8C4) = C4⋊C4×Dic5central extension (φ=1)320C2.3(D20:8C4)320,602
C2.4(D20⋊8C4) = C4⋊Dic5⋊15C4central stem extension (φ=1)320C2.4(D20:8C4)320,281
C2.5(D20⋊8C4) = (C2×C4)⋊9D20central stem extension (φ=1)160C2.5(D20:8C4)320,292
C2.6(D20⋊8C4) = C10.54(C4×D4)central stem extension (φ=1)160C2.6(D20:8C4)320,296
C2.7(D20⋊8C4) = D10⋊5M4(2)central stem extension (φ=1)160C2.7(D20:8C4)320,463
C2.8(D20⋊8C4) = C20⋊6M4(2)central stem extension (φ=1)160C2.8(D20:8C4)320,465
C2.9(D20⋊8C4) = Dic5⋊8SD16central stem extension (φ=1)160C2.9(D20:8C4)320,479
C2.10(D20⋊8C4) = Dic20⋊15C4central stem extension (φ=1)320C2.10(D20:8C4)320,480
C2.11(D20⋊8C4) = D40⋊15C4central stem extension (φ=1)160C2.11(D20:8C4)320,496
C2.12(D20⋊8C4) = D40⋊12C4central stem extension (φ=1)160C2.12(D20:8C4)320,499
C2.13(D20⋊8C4) = Dic5⋊5Q16central stem extension (φ=1)320C2.13(D20:8C4)320,500
C2.14(D20⋊8C4) = C40⋊21(C2×C4)central stem extension (φ=1)160C2.14(D20:8C4)320,516
C2.15(D20⋊8C4) = D40⋊16C4central stem extension (φ=1)804C2.15(D20:8C4)320,521
C2.16(D20⋊8C4) = D40⋊13C4central stem extension (φ=1)804C2.16(D20:8C4)320,522
C2.17(D20⋊8C4) = C20⋊4(C4⋊C4)central stem extension (φ=1)320C2.17(D20:8C4)320,600
C2.18(D20⋊8C4) = (C2×D20)⋊22C4central stem extension (φ=1)160C2.18(D20:8C4)320,615
C2.19(D20⋊8C4) = D10⋊5(C4⋊C4)central stem extension (φ=1)160C2.19(D20:8C4)320,616
C2.20(D20⋊8C4) = C10.90(C4×D4)central stem extension (φ=1)160C2.20(D20:8C4)320,617

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