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

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

		d	ρ	Label	ID
D₄×Q₈		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

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