Extensions 1→N→G→Q→1 with N=D₄ and Q=Q₈

Direct product G=NxQ with N=D₄ and Q=Q₈

		d	ρ	Label	ID
D₄xQ₈		32		D4xQ8	64,230

Semidirect products G=N:Q with N=D₄ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
D₄:₁Q₈ = D₄:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₄	32	D4:1Q8	64,155
D₄:₂Q₈ = D₄:₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₄	32	D4:2Q8	64,157
D₄:₃Q₈ = D₄:₃Q₈	φ: trivial image	32	D4:3Q8	64,235

Non-split extensions G=N.Q with N=D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.Q₈ = D₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₄	32		D4.Q8	64,159

Extensions 1→N→G→Q→1 with N=D4 and Q=Q8