Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=D₆

Direct product G=N×Q with N=C₃×A₄ and Q=D₆

		d	ρ	Label	ID
S₃×C₆×A₄		36	6	S3xC6xA4	432,763

Semidirect products G=N:Q with N=C₃×A₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊D₆ = C₆²⋊₅D₆	φ: D₆/C₁ → D₆ ⊆ Out C₃×A₄	18	6+	(C3xA4):D6	432,523
(C₃×A₄)⋊₂D₆ = C₂×C₃²⋊S₄	φ: D₆/C₂ → S₃ ⊆ Out C₃×A₄	18	3	(C3xA4):2D6	432,538
(C₃×A₄)⋊₃D₆ = C₂×C₆²⋊C₆	φ: D₆/C₂ → S₃ ⊆ Out C₃×A₄	18	6+	(C3xA4):3D6	432,542
(C₃×A₄)⋊₄D₆ = C₃⋊S₃×S₄	φ: D₆/C₃ → C₂² ⊆ Out C₃×A₄	36		(C3xA4):4D6	432,746
(C₃×A₄)⋊₅D₆ = S₃×C₃⋊S₄	φ: D₆/C₃ → C₂² ⊆ Out C₃×A₄	24	12+	(C3xA4):5D6	432,747
(C₃×A₄)⋊₆D₆ = C₆²⋊₁₀D₆	φ: D₆/C₃ → C₂² ⊆ Out C₃×A₄	24	12+	(C3xA4):6D6	432,748
(C₃×A₄)⋊₇D₆ = C₃×S₃×S₄	φ: D₆/S₃ → C₂ ⊆ Out C₃×A₄	24	6	(C3xA4):7D6	432,745
(C₃×A₄)⋊₈D₆ = S₃²×A₄	φ: D₆/S₃ → C₂ ⊆ Out C₃×A₄	24	12+	(C3xA4):8D6	432,749
(C₃×A₄)⋊₉D₆ = C₆×C₃⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):9D6	432,761
(C₃×A₄)⋊₁₀D₆ = C₂×C₃²⋊₄S₄	φ: D₆/C₆ → C₂ ⊆ Out C₃×A₄	54		(C3xA4):10D6	432,762
(C₃×A₄)⋊₁₁D₆ = C₂×A₄×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out C₃×A₄	54		(C3xA4):11D6	432,764

Non-split extensions G=N.Q with N=C₃×A₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).D₆ = C₂×D₉⋊A₄	φ: D₆/C₂ → S₃ ⊆ Out C₃×A₄	54	6+	(C3xA4).D6	432,539
(C₃×A₄).₂D₆ = D₉×S₄	φ: D₆/C₃ → C₂² ⊆ Out C₃×A₄	36	6+	(C3xA4).2D6	432,521
(C₃×A₄).₃D₆ = C₂×C₉⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₃×A₄	54	6+	(C3xA4).3D6	432,536
(C₃×A₄).₄D₆ = C₂×A₄×D₉	φ: D₆/C₆ → C₂ ⊆ Out C₃×A₄	54	6+	(C3xA4).4D6	432,540

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