Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=C₉

Direct product G=N×Q with N=3_-¹⁺² and Q=C₉

		d	ρ	Label	ID
C₉×3_-¹⁺²		81		C9xES-(3,1)	243,36

Semidirect products G=N:Q with N=3_-¹⁺² and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊C₉ = 3_-¹⁺²⋊C₉	φ: C₉/C₃ → C₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1):C9	243,18

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².₁C₉ = C₉.₅He₃	φ: C₉/C₃ → C₃ ⊆ Out 3_-¹⁺²	81	3	ES-(3,1).1C9	243,19
3_-¹⁺².₂C₉ = C₉.₆He₃	φ: C₉/C₃ → C₃ ⊆ Out 3_-¹⁺²	81	3	ES-(3,1).2C9	243,20
3_-¹⁺².₃C₉ = C₂₇○He₃	φ: trivial image	81	3	ES-(3,1).3C9	243,50

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Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=C9