Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₁

Direct product G=N×Q with N=D₄ and Q=D₁₁

		d	ρ	Label	ID
D₄×D₁₁		44	4+	D4xD11	176,31

Semidirect products G=N:Q with N=D₄ and Q=D₁₁

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₁ = D₄⋊D₁₁	φ: D₁₁/C₁₁ → C₂ ⊆ Out D₄	88	4+	D4:D11	176,14
D₄⋊₂D₁₁ = D₄⋊₂D₁₁	φ: trivial image	88	4-	D4:2D11	176,32

Non-split extensions G=N.Q with N=D₄ and Q=D₁₁

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₁₁ = D₄.D₁₁	φ: D₁₁/C₁₁ → C₂ ⊆ Out D₄	88	4-	D4.D11	176,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D11