Extensions 1→N→G→Q→1 with N=C₃×3_-¹⁺² and Q=C₃

Direct product G=N×Q with N=C₃×3_-¹⁺² and Q=C₃

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

Semidirect products G=N:Q with N=C₃×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×3_-¹⁺²)⋊₁C₃ = C₃³.C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)):1C3	243,4
(C₃×3_-¹⁺²)⋊₂C₃ = C₃⁴.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27		(C3xES-(3,1)):2C3	243,38
(C₃×3_-¹⁺²)⋊₃C₃ = C₉⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)):3C3	243,39
(C₃×3_-¹⁺²)⋊₄C₃ = C₃².₂₃C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)):4C3	243,40
(C₃×3_-¹⁺²)⋊₅C₃ = C₃×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27		(C3xES-(3,1)):5C3	243,51
(C₃×3_-¹⁺²)⋊₆C₃ = C₃×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)):6C3	243,52
(C₃×3_-¹⁺²)⋊₇C₃ = C₃³⋊C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)):7C3	243,56
(C₃×3_-¹⁺²)⋊₈C₃ = He₃.C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)):8C3	243,57
(C₃×3_-¹⁺²)⋊₉C₃ = He₃⋊C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)):9C3	243,58
(C₃×3_-¹⁺²)⋊₁₀C₃ = C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)):10C3	243,60
(C₃×3_-¹⁺²)⋊₁₁C₃ = 3_-¹⁺⁴	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)):11C3	243,66
(C₃×3_-¹⁺²)⋊₁₂C₃ = C₃×C₉○He₃	φ: trivial image	81		(C3xES-(3,1)):12C3	243,64

Non-split extensions G=N.Q with N=C₃×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×3_-¹⁺²).₁C₃ = C₃³.₃C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).1C3	243,5
(C₃×3_-¹⁺²).₂C₃ = C₃².₂₈He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).2C3	243,7
(C₃×3_-¹⁺²).₃C₃ = 3_-¹⁺²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).3C3	243,18
(C₃×3_-¹⁺²).₄C₃ = C₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).4C3	243,41
(C₃×3_-¹⁺²).₅C₃ = C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).5C3	243,43
(C₃×3_-¹⁺²).₆C₃ = C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).6C3	243,46
(C₃×3_-¹⁺²).₇C₃ = C₉²⋊₉C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).7C3	243,47
(C₃×3_-¹⁺²).₈C₃ = C₃×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	81		(C3xES-(3,1)).8C3	243,54
(C₃×3_-¹⁺²).₉C₃ = C₃².C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₃×3_-¹⁺²	27	9	(C3xES-(3,1)).9C3	243,59
(C₃×3_-¹⁺²).₁₀C₃ = C₉×3_-¹⁺²	φ: trivial image	81		(C3xES-(3,1)).10C3	243,36

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