Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈

Direct product G=N×Q with N=C₅ and Q=D₈

		d	ρ	Label	ID
C₅×D₈		40	2	C5xD8	80,25

Semidirect products G=N:Q with N=C₅ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁D₈ = D₄₀	φ: D₈/C₈ → C₂ ⊆ Aut C₅	40	2+	C5:1D8	80,7
C₅⋊₂D₈ = D₄⋊D₅	φ: D₈/D₄ → C₂ ⊆ Aut C₅	40	4+	C5:2D8	80,15

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁