Extensions 1→N→G→Q→1 with N=D₄ and Q=C₁₂

Direct product G=N×Q with N=D₄ and Q=C₁₂

		d	ρ	Label	ID
D₄×C₁₂		48		D4xC12	96,165

Semidirect products G=N:Q with N=D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₁₂ = C₃×D₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₄	48		D4:1C12	96,52
D₄⋊₂C₁₂ = C₃×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out D₄	24	2	D4:2C12	96,54

Non-split extensions G=N.Q with N=D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₁₂ = C₃×C₈○D₄	φ: trivial image	48	2	D4.C12	96,178

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Extensions 1→N→G→Q→1 with N=D4 and Q=C12