Extensions 1→N→G→Q→1 with N=D₄ and Q=Q₁₆

Direct product G=N×Q with N=D₄ and Q=Q₁₆

		d	ρ	Label	ID
D₄×Q₁₆		64		D4xQ16	128,2018

Semidirect products G=N:Q with N=D₄ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Q₁₆ = C₈.₂₈D₈	φ: Q₁₆/C₈ → C₂ ⊆ Out D₄	64		D4:1Q16	128,401
D₄⋊₂Q₁₆ = D₄⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₄	64		D4:2Q16	128,364
D₄⋊₃Q₁₆ = D₄⋊₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₄	64		D4:3Q16	128,376
D₄⋊₄Q₁₆ = D₄⋊₄Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₄	64		D4:4Q16	128,381
D₄⋊₅Q₁₆ = D₄⋊₅Q₁₆	φ: trivial image	64		D4:5Q16	128,2031
D₄⋊₆Q₁₆ = D₄⋊₆Q₁₆	φ: trivial image	64		D4:6Q16	128,2070

Non-split extensions G=N.Q with N=D₄ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁Q₁₆ = D₄.₁Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out D₄	64		D4.1Q16	128,407
D₄.₂Q₁₆ = D₄.Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out D₄	64		D4.2Q16	128,415
D₄.₃Q₁₆ = D₄.₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out D₄	64		D4.3Q16	128,369

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