Extensions 1→N→G→Q→1 with N=D₄ and Q=Dic₉

Direct product G=N×Q with N=D₄ and Q=Dic₉

		d	ρ	Label	ID
D₄×Dic₉		144		D4xDic9	288,144

Semidirect products G=N:Q with N=D₄ and Q=Dic₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Dic₉ = D₄⋊Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Out D₄	144		D4:1Dic9	288,40
D₄⋊₂Dic₉ = Q₈⋊₃Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Out D₄	72	4	D4:2Dic9	288,44

Non-split extensions G=N.Q with N=D₄ and Q=Dic₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.Dic₉ = D₄.Dic₉	φ: trivial image	144	4	D4.Dic9	288,158

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Extensions 1→N→G→Q→1 with N=D4 and Q=Dic9