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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊₁C₃² = A₄×He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	36	9	(C3xA4):1C3^2	324,130
(C₃×A₄)⋊₂C₃² = C₃×C₃²⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	54		(C3xA4):2C3^2	324,135

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).₁C₃² = C₃×C₉⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	108		(C3xA4).1C3^2	324,127
(C₃×A₄).₂C₃² = C₆².₂₅C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	54	3	(C3xA4).2C3^2	324,128
(C₃×A₄).₃C₃² = A₄×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	36	9	(C3xA4).3C3^2	324,131
(C₃×A₄).₄C₃² = C₆².₉C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₃×A₄	54	9	(C3xA4).4C3^2	324,132
(C₃×A₄).₅C₃² = A₄×C₃×C₉	φ: trivial image	108		(C3xA4).5C3^2	324,126

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