Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₉

Direct product G=N×Q with N=D₄ and Q=D₁₉

		d	ρ	Label	ID
D₄×D₁₉		76	4+	D4xD19	304,31

Semidirect products G=N:Q with N=D₄ and Q=D₁₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₉ = D₄⋊D₁₉	φ: D₁₉/C₁₉ → C₂ ⊆ Out D₄	152	4+	D4:D19	304,14
D₄⋊₂D₁₉ = D₄⋊₂D₁₉	φ: trivial image	152	4-	D4:2D19	304,32

Non-split extensions G=N.Q with N=D₄ and Q=D₁₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₁₉ = D₄.D₁₉	φ: D₁₉/C₁₉ → C₂ ⊆ Out D₄	152	4-	D4.D19	304,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D19