Extensions 1→N→G→Q→1 with N=C₂×C₃.A₄ and Q=S₃

Direct product G=N×Q with N=C₂×C₃.A₄ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×C₃.A₄		36	6	C2xS3xC3.A4	432,541

Semidirect products G=N:Q with N=C₂×C₃.A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄)⋊₁S₃ = C₂×C₉⋊S₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₃.A₄	54	6+	(C2xC3.A4):1S3	432,536
(C₂×C₃.A₄)⋊₂S₃ = C₂×C₃².₃S₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₃.A₄	54		(C2xC3.A4):2S3	432,537

Non-split extensions G=N.Q with N=C₂×C₃.A₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.A₄).₁S₃ = A₄⋊Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₃.A₄	108	6-	(C2xC3.A4).1S3	432,254
(C₂×C₃.A₄).₂S₃ = C₆².₁₀Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₃.A₄	108		(C2xC3.A4).2S3	432,259
(C₂×C₃.A₄).₃S₃ = Dic₃×C₃.A₄	φ: trivial image	36	6	(C2xC3.A4).3S3	432,271

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Extensions 1→N→G→Q→1 with N=C2×C3.A4 and Q=S3