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

		d	ρ	Label	ID
C₄×C₅⋊C₈		160		C4xC5:C8	160,75

Semidirect products G=N:Q with N=C₄ and Q=C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅⋊C₈) = C₂₀⋊C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₄	160		C4:(C5:C8)	160,76

Non-split extensions G=N.Q with N=C₄ and Q=C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅⋊C₈) = C₂₀.C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₄	80	4	C4.(C5:C8)	160,73
C₄.₂(C₅⋊C₈) = C₅⋊C₃₂	central extension (φ=1)	160	4	C4.2(C5:C8)	160,3
C₄.₃(C₅⋊C₈) = C₂×C₅⋊C₁₆	central extension (φ=1)	160		C4.3(C5:C8)	160,72

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