Extensions 1→N→G→Q→1 with N=D₆ and Q=S₃

Direct product G=N×Q with N=D₆ and Q=S₃

		d	ρ	Label	ID
C₂×S₃²		12	4+	C2xS3^2	72,46

Semidirect products G=N:Q with N=D₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁S₃ = D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₆	24	4-	D6:1S3	72,22
D₆⋊₂S₃ = C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out D₆	12	4+	D6:2S3	72,23

Non-split extensions G=N.Q with N=D₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.S₃ = S₃×Dic₃	φ: trivial image	24	4-	D6.S3	72,20

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Extensions 1→N→G→Q→1 with N=D6 and Q=S3