Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×C₁₂

Direct product G=N×Q with N=D₄ and Q=C₃×C₁₂

		d	ρ	Label	ID
D₄×C₃×C₁₂		144		D4xC3xC12	288,815

Semidirect products G=N:Q with N=D₄ and Q=C₃×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₃×C₁₂) = C₃²×D₄⋊C₄	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Out D₄	144		D4:1(C3xC12)	288,320
D₄⋊₂(C₃×C₁₂) = C₃²×C₄≀C₂	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Out D₄	72		D4:2(C3xC12)	288,322

Non-split extensions G=N.Q with N=D₄ and Q=C₃×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×C₁₂) = C₃²×C₈○D₄	φ: trivial image	144		D4.(C3xC12)	288,828

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×C12