Extensions 1→N→G→Q→1 with N=C₃xA₄ and Q=S₃

Direct product G=NxQ with N=C₃xA₄ and Q=S₃

		d	ρ	Label	ID
C₃xS₃xA₄		24	6	C3xS3xA4	216,166

Semidirect products G=N:Q with N=C₃xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xA₄):₁S₃ = C₃²:S₄	φ: S₃/C₁ → S₃ ⊆ Out C₃xA₄	18	3	(C3xA4):1S3	216,95
(C₃xA₄):₂S₃ = C₆²:C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃xA₄	18	6+	(C3xA4):2S3	216,99
(C₃xA₄):₃S₃ = C₃xC₃:S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xA₄	24	6	(C3xA4):3S3	216,164
(C₃xA₄):₄S₃ = C₃²:₄S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xA₄	36		(C3xA4):4S3	216,165
(C₃xA₄):₅S₃ = A₄xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xA₄	36		(C3xA4):5S3	216,167

Non-split extensions G=N.Q with N=C₃xA₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xA₄).S₃ = D₉:A₄	φ: S₃/C₁ → S₃ ⊆ Out C₃xA₄	36	6+	(C3xA4).S3	216,96
(C₃xA₄).₂S₃ = C₉:S₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xA₄	36	6+	(C3xA4).2S3	216,93
(C₃xA₄).₃S₃ = A₄xD₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xA₄	36	6+	(C3xA4).3S3	216,97

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