Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=A₄

Direct product G=N×Q with N=3_-¹⁺² and Q=A₄

		d	ρ	Label	ID
A₄×3_-¹⁺²		36	9	A4xES-(3,1)	324,131

Semidirect products G=N:Q with N=3_-¹⁺² and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊₁A₄ = 3_-¹⁺²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Out 3_-¹⁺²	54	9	ES-(3,1):1A4	324,57
3_-¹⁺²⋊₂A₄ = C₆².₆C₃²	φ: A₄/C₂² → C₃ ⊆ Out 3_-¹⁺²	36	9	ES-(3,1):2A4	324,58
3_-¹⁺²⋊₃A₄ = C₆².₉C₃²	φ: trivial image	54	9	ES-(3,1):3A4	324,132

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=A₄

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².A₄ = C₆².C₃²	φ: A₄/C₂² → C₃ ⊆ Out 3_-¹⁺²	54	9	ES-(3,1).A4	324,56

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Extensions 1→N→G→Q→1 with N=3- 1+2 and Q=A4