Extensions 1→N→G→Q→1 with N=C₂²×3_-¹⁺² and Q=C₃

Direct product G=N×Q with N=C₂²×3_-¹⁺² and Q=C₃

		d	ρ	Label	ID
C₂×C₆×3_-¹⁺²		108		C2xC6xES-(3,1)	324,153

Semidirect products G=N:Q with N=C₂²×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²)⋊₁C₃ = 3_-¹⁺²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	54	9	(C2^2xES-(3,1)):1C3	324,57
(C₂²×3_-¹⁺²)⋊₂C₃ = C₆².₆C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	36	9	(C2^2xES-(3,1)):2C3	324,58
(C₂²×3_-¹⁺²)⋊₃C₃ = C₂²×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	36		(C2^2xES-(3,1)):3C3	324,86
(C₂²×3_-¹⁺²)⋊₄C₃ = C₂²×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	108		(C2^2xES-(3,1)):4C3	324,87
(C₂²×3_-¹⁺²)⋊₅C₃ = A₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	36	9	(C2^2xES-(3,1)):5C3	324,131
(C₂²×3_-¹⁺²)⋊₆C₃ = C₆².₉C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	54	9	(C2^2xES-(3,1)):6C3	324,132
(C₂²×3_-¹⁺²)⋊₇C₃ = C₂²×C₉○He₃	φ: trivial image	108		(C2^2xES-(3,1)):7C3	324,154

Non-split extensions G=N.Q with N=C₂²×3_-¹⁺² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×3_-¹⁺²).₁C₃ = C₆².C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	54	9	(C2^2xES-(3,1)).1C3	324,56
(C₂²×3_-¹⁺²).₂C₃ = C₂²×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²×3_-¹⁺²	108		(C2^2xES-(3,1)).2C3	324,89

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