Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₉

Direct product G=N×Q with N=Q₈ and Q=Dic₉

		d	ρ	Label	ID
Q₈×Dic₉		288		Q8xDic9	288,155

Semidirect products G=N:Q with N=Q₈ and Q=Dic₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₉ = Q₈⋊Dic₉	φ: Dic₉/C₆ → S₃ ⊆ Out Q₈	288		Q8:Dic9	288,69
Q₈⋊₂Dic₉ = Q₈⋊₂Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Out Q₈	288		Q8:2Dic9	288,43
Q₈⋊₃Dic₉ = Q₈⋊₃Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Out Q₈	72	4	Q8:3Dic9	288,44

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₉

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₉ = C₁₂.₉S₄	φ: Dic₉/C₆ → S₃ ⊆ Out Q₈	72	4	Q8.Dic9	288,70
Q₈.₂Dic₉ = D₄.Dic₉	φ: trivial image	144	4	Q8.2Dic9	288,158

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Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic9