Extensions 1→N→G→Q→1 with N=C₅⋊C₈ and Q=C₁₀

Direct product G=N×Q with N=C₅⋊C₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₅⋊C₈		80		C10xC5:C8	400,139

Semidirect products G=N:Q with N=C₅⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊C₈⋊₁C₁₀ = C₅×C₄.F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅⋊C₈	80	4	C5:C8:1C10	400,136
C₅⋊C₈⋊₂C₁₀ = C₅×C₂².F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₅⋊C₈	40	4	C5:C8:2C10	400,140
C₅⋊C₈⋊₃C₁₀ = C₅×D₅⋊C₈	φ: trivial image	80	4	C5:C8:3C10	400,135

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁