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

Direct product G=N×Q with N=C2 and Q=C4⋊D20
dρLabelID
C2×C4⋊D20160C2xC4:D20320,1178


Non-split extensions G=N.Q with N=C2 and Q=C4⋊D20
extensionφ:Q→Aut NdρLabelID
C2.1(C4⋊D20) = (C2×C4)⋊9D20central extension (φ=1)160C2.1(C4:D20)320,292
C2.2(C4⋊D20) = C10.55(C4×D4)central extension (φ=1)160C2.2(C4:D20)320,297
C2.3(C4⋊D20) = C20⋊6(C4⋊C4)central extension (φ=1)320C2.3(C4:D20)320,612
C2.4(C4⋊D20) = D10⋊4(C4⋊C4)central extension (φ=1)160C2.4(C4:D20)320,614
C2.5(C4⋊D20) = (C2×D20)⋊22C4central extension (φ=1)160C2.5(C4:D20)320,615
C2.6(C4⋊D20) = C10.(C4⋊Q8)central stem extension (φ=1)320C2.6(C4:D20)320,288
C2.7(C4⋊D20) = (C2×C20)⋊5D4central stem extension (φ=1)160C2.7(C4:D20)320,298
C2.8(C4⋊D20) = (C2×Dic5)⋊3D4central stem extension (φ=1)160C2.8(C4:D20)320,299
C2.9(C4⋊D20) = (C2×C4).21D20central stem extension (φ=1)160C2.9(C4:D20)320,301
C2.10(C4⋊D20) = C20⋊SD16central stem extension (φ=1)160C2.10(C4:D20)320,468
C2.11(C4⋊D20) = C4⋊D40central stem extension (φ=1)160C2.11(C4:D20)320,470
C2.12(C4⋊D20) = D20.19D4central stem extension (φ=1)160C2.12(C4:D20)320,471
C2.13(C4⋊D20) = C42.36D10central stem extension (φ=1)160C2.13(C4:D20)320,472
C2.14(C4⋊D20) = Dic10⋊8D4central stem extension (φ=1)160C2.14(C4:D20)320,475
C2.15(C4⋊D20) = C4⋊Dic20central stem extension (φ=1)320C2.15(C4:D20)320,476
C2.16(C4⋊D20) = C8⋊8D20central stem extension (φ=1)160C2.16(C4:D20)320,491
C2.17(C4⋊D20) = C8⋊2D20central stem extension (φ=1)160C2.17(C4:D20)320,492
C2.18(C4⋊D20) = C8.2D20central stem extension (φ=1)160C2.18(C4:D20)320,495
C2.19(C4⋊D20) = C8⋊7D20central stem extension (φ=1)160C2.19(C4:D20)320,510
C2.20(C4⋊D20) = C8⋊3D20central stem extension (φ=1)160C2.20(C4:D20)320,513
C2.21(C4⋊D20) = D10⋊2Q16central stem extension (φ=1)160C2.21(C4:D20)320,514
C2.22(C4⋊D20) = C8.20D20central stem extension (φ=1)1604-C2.22(C4:D20)320,523
C2.23(C4⋊D20) = C8.21D20central stem extension (φ=1)804+C2.23(C4:D20)320,524
C2.24(C4⋊D20) = C8.24D20central stem extension (φ=1)804C2.24(C4:D20)320,525
C2.25(C4⋊D20) = (C2×C4)⋊3D20central stem extension (φ=1)160C2.25(C4:D20)320,618
C2.26(C4⋊D20) = (C2×C20).56D4central stem extension (φ=1)160C2.26(C4:D20)320,621

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