Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=D₉

Direct product G=N×Q with N=3_-¹⁺² and Q=D₉

		d	ρ	Label	ID
D₉×3_-¹⁺²		54	6	D9xES-(3,1)	486,101

Semidirect products G=N:Q with N=3_-¹⁺² and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊D₉ = 3_-¹⁺²⋊D₉	φ: D₉/C₃ → S₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1):D9	486,57
3_-¹⁺²⋊₂D₉ = C₉²⋊₉C₆	φ: D₉/C₉ → C₂ ⊆ Out 3_-¹⁺²	81		ES-(3,1):2D9	486,144

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².₁D₉ = He₃.₃D₉	φ: D₉/C₃ → S₃ ⊆ Out 3_-¹⁺²	81	6+	ES-(3,1).1D9	486,58
3_-¹⁺².₂D₉ = He₃.₄D₉	φ: D₉/C₃ → S₃ ⊆ Out 3_-¹⁺²	81	6+	ES-(3,1).2D9	486,59
3_-¹⁺².₃D₉ = He₃.₅D₉	φ: D₉/C₉ → C₂ ⊆ Out 3_-¹⁺²	81	6+	ES-(3,1).3D9	486,163

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=D9