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Extensions 1→N→G→Q→1 with N=C2 and Q=C4×C5⋊D4

Direct product G=N×Q with N=C2 and Q=C4×C5⋊D4
dρLabelID
C2×C4×C5⋊D4160C2xC4xC5:D4320,1460


Non-split extensions G=N.Q with N=C2 and Q=C4×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C4×C5⋊D4) = C4×C10.D4central extension (φ=1)320C2.1(C4xC5:D4)320,558
C2.2(C4×C5⋊D4) = C4×D10⋊C4central extension (φ=1)160C2.2(C4xC5:D4)320,565
C2.3(C4×C5⋊D4) = C8×C5⋊D4central extension (φ=1)160C2.3(C4xC5:D4)320,736
C2.4(C4×C5⋊D4) = C4×C23.D5central extension (φ=1)160C2.4(C4xC5:D4)320,836
C2.5(C4×C5⋊D4) = C10.92(C4×D4)central stem extension (φ=1)320C2.5(C4xC5:D4)320,560
C2.6(C4×C5⋊D4) = (C2×C42)⋊D5central stem extension (φ=1)160C2.6(C4xC5:D4)320,567
C2.7(C4×C5⋊D4) = C24.3D10central stem extension (φ=1)160C2.7(C4xC5:D4)320,571
C2.8(C4×C5⋊D4) = C24.4D10central stem extension (φ=1)160C2.8(C4xC5:D4)320,572
C2.9(C4×C5⋊D4) = C24.12D10central stem extension (φ=1)160C2.9(C4xC5:D4)320,583
C2.10(C4×C5⋊D4) = C24.13D10central stem extension (φ=1)160C2.10(C4xC5:D4)320,584
C2.11(C4×C5⋊D4) = C10.96(C4×D4)central stem extension (φ=1)320C2.11(C4xC5:D4)320,599
C2.12(C4×C5⋊D4) = C10.97(C4×D4)central stem extension (φ=1)320C2.12(C4xC5:D4)320,605
C2.13(C4×C5⋊D4) = D10⋊5(C4⋊C4)central stem extension (φ=1)160C2.13(C4xC5:D4)320,616
C2.14(C4×C5⋊D4) = C10.90(C4×D4)central stem extension (φ=1)160C2.14(C4xC5:D4)320,617
C2.15(C4×C5⋊D4) = C4×D4⋊D5central stem extension (φ=1)160C2.15(C4xC5:D4)320,640
C2.16(C4×C5⋊D4) = C42.48D10central stem extension (φ=1)160C2.16(C4xC5:D4)320,641
C2.17(C4×C5⋊D4) = C4×D4.D5central stem extension (φ=1)160C2.17(C4xC5:D4)320,644
C2.18(C4×C5⋊D4) = C42.51D10central stem extension (φ=1)160C2.18(C4xC5:D4)320,645
C2.19(C4×C5⋊D4) = C4×Q8⋊D5central stem extension (φ=1)160C2.19(C4xC5:D4)320,652
C2.20(C4×C5⋊D4) = C42.56D10central stem extension (φ=1)160C2.20(C4xC5:D4)320,653
C2.21(C4×C5⋊D4) = C4×C5⋊Q16central stem extension (φ=1)320C2.21(C4xC5:D4)320,656
C2.22(C4×C5⋊D4) = C42.59D10central stem extension (φ=1)320C2.22(C4xC5:D4)320,657
C2.23(C4×C5⋊D4) = C40⋊32D4central stem extension (φ=1)160C2.23(C4xC5:D4)320,738
C2.24(C4×C5⋊D4) = C40⋊D4central stem extension (φ=1)160C2.24(C4xC5:D4)320,754
C2.25(C4×C5⋊D4) = C40⋊18D4central stem extension (φ=1)160C2.25(C4xC5:D4)320,755
C2.26(C4×C5⋊D4) = C40.93D4central stem extension (φ=1)804C2.26(C4xC5:D4)320,771
C2.27(C4×C5⋊D4) = C40.50D4central stem extension (φ=1)804C2.27(C4xC5:D4)320,772
C2.28(C4×C5⋊D4) = C24.62D10central stem extension (φ=1)160C2.28(C4xC5:D4)320,837
C2.29(C4×C5⋊D4) = C24.65D10central stem extension (φ=1)160C2.29(C4xC5:D4)320,840

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