Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₃

Direct product G=N×Q with N=D₄ and Q=D₁₃

		d	ρ	Label	ID
D₄×D₁₃		52	4+	D4xD13	208,39

Semidirect products G=N:Q with N=D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₃ = D₄⋊D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out D₄	104	4+	D4:D13	208,15
D₄⋊₂D₁₃ = D₄⋊₂D₁₃	φ: trivial image	104	4-	D4:2D13	208,40

Non-split extensions G=N.Q with N=D₄ and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₁₃ = D₄.D₁₃	φ: D₁₃/C₁₃ → C₂ ⊆ Out D₄	104	4-	D4.D13	208,16

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Extensions 1→N→G→Q→1 with N=D4 and Q=D13