Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=C₃²

Direct product G=N×Q with N=3_-¹⁺² and Q=C₃²

		d	ρ	Label	ID
C₃²×3_-¹⁺²		81		C3^2xES-(3,1)	243,63

Semidirect products G=N:Q with N=3_-¹⁺² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊₁C₃² = C₃×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27		ES-(3,1):1C3^2	243,51
3_-¹⁺²⋊₂C₃² = C₃×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1):2C3^2	243,52
3_-¹⁺²⋊₃C₃² = C₃³⋊C₃²	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27	9	ES-(3,1):3C3^2	243,56
3_-¹⁺²⋊₄C₃² = He₃.C₃²	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27	9	ES-(3,1):4C3^2	243,57
3_-¹⁺²⋊₅C₃² = C₃×C₉○He₃	φ: trivial image	81		ES-(3,1):5C3^2	243,64
3_-¹⁺²⋊₆C₃² = 3_-¹⁺⁴	φ: trivial image	27	9	ES-(3,1):6C3^2	243,66

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².₁C₃² = C₃×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1).1C3^2	243,54
3_-¹⁺².₂C₃² = C₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27	3	ES-(3,1).2C3^2	243,55
3_-¹⁺².₃C₃² = C₃².C₃³	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27	9	ES-(3,1).3C3^2	243,59
3_-¹⁺².₄C₃² = C₉.₂He₃	φ: C₃²/C₃ → C₃ ⊆ Out 3_-¹⁺²	27	9	ES-(3,1).4C3^2	243,60

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