Extensions 1→N→G→Q→1 with N=He₃ and Q=D₉

Direct product G=N×Q with N=He₃ and Q=D₉

		d	ρ	Label	ID
D₉×He₃		54	6	D9xHe3	486,99

Semidirect products G=N:Q with N=He₃ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁D₉ = He₃⋊D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81		He3:1D9	486,25
He₃⋊₂D₉ = He₃⋊₂D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81		He3:2D9	486,56
He₃⋊₃D₉ = He₃⋊₃D₉	φ: D₉/C₉ → C₂ ⊆ Out He₃	81		He3:3D9	486,142
He₃⋊₄D₉ = He₃⋊₄D₉	φ: D₉/C₉ → C₂ ⊆ Out He₃	54	6	He3:4D9	486,182

Non-split extensions G=N.Q with N=He₃ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.₁D₉ = He₃.D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81	6+	He3.1D9	486,27
He₃.₂D₉ = He₃.₂D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81	6+	He3.2D9	486,29
He₃.₃D₉ = He₃.₃D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81	6+	He3.3D9	486,58
He₃.₄D₉ = He₃.₄D₉	φ: D₉/C₃ → S₃ ⊆ Out He₃	81	6+	He3.4D9	486,59
He₃.₅D₉ = He₃.₅D₉	φ: D₉/C₉ → C₂ ⊆ Out He₃	81	6+	He3.5D9	486,163

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