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

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

		d	ρ	Label	ID
C₄₀		40	1	C40	40,2

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₈ = C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅	40	4-	C5:C8	40,3
C₅⋊₂C₈ = C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅	40	2	C5:2C8	40,1

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁