Extensions 1→N→G→Q→1 with N=D₄ and Q=D₈

Direct product G=N×Q with N=D₄ and Q=D₈

		d	ρ	Label	ID
D₄×D₈		32		D4xD8	128,2011

Semidirect products G=N:Q with N=D₄ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₈ = C₈⋊₇D₈	φ: D₈/C₈ → C₂ ⊆ Out D₄	64		D4:1D8	128,399
D₄⋊₂D₈ = D₄⋊D₈	φ: D₈/D₄ → C₂ ⊆ Out D₄	32		D4:2D8	128,351
D₄⋊₃D₈ = D₄⋊₃D₈	φ: D₈/D₄ → C₂ ⊆ Out D₄	64		D4:3D8	128,357
D₄⋊₄D₈ = D₄⋊₄D₈	φ: trivial image	32		D4:4D8	128,2026
D₄⋊₅D₈ = D₄⋊₅D₈	φ: trivial image	64		D4:5D8	128,2066

Non-split extensions G=N.Q with N=D₄ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₈ = C₈⋊₁₀SD₁₆	φ: D₈/C₈ → C₂ ⊆ Out D₄	64		D4.1D8	128,405
D₄.₂D₈ = D₄.₂D₈	φ: D₈/C₈ → C₂ ⊆ Out D₄	64		D4.2D8	128,413
D₄.₃D₈ = D₄.₃D₈	φ: D₈/C₈ → C₂ ⊆ Out D₄	32	4+	D4.3D8	128,953
D₄.₄D₈ = D₄.₄D₈	φ: D₈/C₈ → C₂ ⊆ Out D₄	64	4-	D4.4D8	128,954
D₄.₅D₈ = D₄.₅D₈	φ: D₈/C₈ → C₂ ⊆ Out D₄	32	4	D4.5D8	128,955
D₄.₆D₈ = D₄.D₈	φ: D₈/D₄ → C₂ ⊆ Out D₄	32		D4.6D8	128,371
D₄.₇D₈ = D₄.₇D₈	φ: D₈/D₄ → C₂ ⊆ Out D₄	64		D4.7D8	128,379
D₄.₈D₈ = Q₁₆.₁₀D₄	φ: D₈/D₄ → C₂ ⊆ Out D₄	32	4+	D4.8D8	128,924
D₄.₉D₈ = Q₁₆.D₄	φ: D₈/D₄ → C₂ ⊆ Out D₄	32	4	D4.9D8	128,925
D₄.₁₀D₈ = D₈.₃D₄	φ: D₈/D₄ → C₂ ⊆ Out D₄	32	4	D4.10D8	128,926
D₄.₁₁D₈ = D₈.₁₂D₄	φ: D₈/D₄ → C₂ ⊆ Out D₄	64	4-	D4.11D8	128,927
D₄.₁₂D₈ = D₄○D₁₆	φ: trivial image	32	4+	D4.12D8	128,2147
D₄.₁₃D₈ = D₄○SD₃₂	φ: trivial image	32	4	D4.13D8	128,2148
D₄.₁₄D₈ = Q₈○D₁₆	φ: trivial image	64	4-	D4.14D8	128,2149

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