Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=S₃

Direct product G=N×Q with N=C₃×A₄ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×A₄		24	6	C3xS3xA4	216,166

Semidirect products G=N:Q with N=C₃×A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊₁S₃ = C₃²⋊S₄	φ: S₃/C₁ → S₃ ⊆ Out C₃×A₄	18	3	(C3xA4):1S3	216,95
(C₃×A₄)⋊₂S₃ = C₆²⋊C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃×A₄	18	6+	(C3xA4):2S3	216,99
(C₃×A₄)⋊₃S₃ = C₃×C₃⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×A₄	24	6	(C3xA4):3S3	216,164
(C₃×A₄)⋊₄S₃ = C₃²⋊₄S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×A₄	36		(C3xA4):4S3	216,165
(C₃×A₄)⋊₅S₃ = A₄×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×A₄	36		(C3xA4):5S3	216,167

Non-split extensions G=N.Q with N=C₃×A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).S₃ = D₉⋊A₄	φ: S₃/C₁ → S₃ ⊆ Out C₃×A₄	36	6+	(C3xA4).S3	216,96
(C₃×A₄).₂S₃ = C₉⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃×A₄	36	6+	(C3xA4).2S3	216,93
(C₃×A₄).₃S₃ = A₄×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×A₄	36	6+	(C3xA4).3S3	216,97

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁