Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=S₃

Direct product G=N×Q with N=C₄×A₄ and Q=S₃

		d	ρ	Label	ID
C₄×S₃×A₄		36	6	C4xS3xA4	288,919

Semidirect products G=N:Q with N=C₄×A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁S₃ = C₁₂⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	36	6+	(C4xA4):1S3	288,909
(C₄×A₄)⋊₂S₃ = C₄×C₃⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	36	6	(C4xA4):2S3	288,908
(C₄×A₄)⋊₃S₃ = A₄×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	36	6+	(C4xA4):3S3	288,920

Non-split extensions G=N.Q with N=C₄×A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁S₃ = A₄⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	72	6-	(C4xA4).1S3	288,907
(C₄×A₄).₂S₃ = C₁₂.₁₂S₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	72	6	(C4xA4).2S3	288,402
(C₄×A₄).₃S₃ = A₄×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×A₄	72	6-	(C4xA4).3S3	288,918
(C₄×A₄).₄S₃ = A₄×C₃⋊C₈	φ: trivial image	72	6	(C4xA4).4S3	288,408

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