Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃₆

Direct product G=N×Q with N=D₄ and Q=C₃₆

		d	ρ	Label	ID
D₄×C₃₆		144		D4xC36	288,168

Semidirect products G=N:Q with N=D₄ and Q=C₃₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₃₆ = C₉×D₄⋊C₄	φ: C₃₆/C₁₈ → C₂ ⊆ Out D₄	144		D4:1C36	288,52
D₄⋊₂C₃₆ = C₉×C₄≀C₂	φ: C₃₆/C₁₈ → C₂ ⊆ Out D₄	72	2	D4:2C36	288,54

Non-split extensions G=N.Q with N=D₄ and Q=C₃₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₃₆ = C₉×C₈○D₄	φ: trivial image	144	2	D4.C36	288,181

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Extensions 1→N→G→Q→1 with N=D4 and Q=C36