Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅⋊₂C₈

Direct product G=N×Q with N=C₄ and Q=C₅⋊₂C₈

		d	ρ	Label	ID
C₄×C₅⋊₂C₈		160		C4xC5:2C8	160,9

Semidirect products G=N:Q with N=C₄ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅⋊₂C₈) = C₂₀⋊₃C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₄	160		C4:(C5:2C8)	160,11

Non-split extensions G=N.Q with N=C₄ and Q=C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅⋊₂C₈) = C₂₀.₄C₈	φ: C₅⋊₂C₈/C₂₀ → C₂ ⊆ Aut C₄	80	2	C4.(C5:2C8)	160,19
C₄.₂(C₅⋊₂C₈) = C₅⋊₂C₃₂	central extension (φ=1)	160	2	C4.2(C5:2C8)	160,1
C₄.₃(C₅⋊₂C₈) = C₂×C₅⋊₂C₁₆	central extension (φ=1)	160		C4.3(C5:2C8)	160,18

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Extensions 1→N→G→Q→1 with N=C4 and Q=C5⋊2C8