Extensions 1→N→G→Q→1 with N=C₃²×A₄ and Q=C₃

Direct product G=N×Q with N=C₃²×A₄ and Q=C₃

		d	ρ	Label	ID
A₄×C₃³		108		A4xC3^3	324,171

Semidirect products G=N:Q with N=C₃²×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×A₄)⋊₁C₃ = He₃⋊₂A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	36	9	(C3^2xA4):1C3	324,55
(C₃²×A₄)⋊₂C₃ = C₆².₆C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	36	9	(C3^2xA4):2C3	324,58
(C₃²×A₄)⋊₃C₃ = A₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	36	9	(C3^2xA4):3C3	324,130
(C₃²×A₄)⋊₄C₃ = C₃×C₃²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	54		(C3^2xA4):4C3	324,135

Non-split extensions G=N.Q with N=C₃²×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×A₄).₁C₃ = C₆².₁₆C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	108		(C3^2xA4).1C3	324,52
(C₃²×A₄).₂C₃ = C₃×C₉⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	108		(C3^2xA4).2C3	324,127
(C₃²×A₄).₃C₃ = A₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×A₄	36	9	(C3^2xA4).3C3	324,131
(C₃²×A₄).₄C₃ = A₄×C₃×C₉	φ: trivial image	108		(C3^2xA4).4C3	324,126

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