Extensions 1→N→G→Q→1 with N=C4 and Q=C5⋊C8

Direct product G=N×Q with N=C4 and Q=C5⋊C8
dρLabelID
C4×C5⋊C8160C4xC5:C8160,75

Semidirect products G=N:Q with N=C4 and Q=C5⋊C8
extensionφ:Q→Aut NdρLabelID
C4⋊(C5⋊C8) = C20⋊C8φ: C5⋊C8/Dic5C2 ⊆ Aut C4160C4:(C5:C8)160,76

Non-split extensions G=N.Q with N=C4 and Q=C5⋊C8
extensionφ:Q→Aut NdρLabelID
C4.(C5⋊C8) = C20.C8φ: C5⋊C8/Dic5C2 ⊆ Aut C4804C4.(C5:C8)160,73
C4.2(C5⋊C8) = C5⋊C32central extension (φ=1)1604C4.2(C5:C8)160,3
C4.3(C5⋊C8) = C2×C5⋊C16central extension (φ=1)160C4.3(C5:C8)160,72

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