Extensions 1→N→G→Q→1 with N=D₄ and Q=S₃

Direct product G=N×Q with N=D₄ and Q=S₃

		d	ρ	Label	ID
S₃×D₄		12	4+	S3xD4	48,38

Semidirect products G=N:Q with N=D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊S₃ = D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄	24	4+	D4:S3	48,15
D₄⋊₂S₃ = D₄⋊₂S₃	φ: trivial image	24	4-	D4:2S3	48,39

Non-split extensions G=N.Q with N=D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.S₃ = D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄	24	4-	D4.S3	48,16

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Extensions 1→N→G→Q→1 with N=D4 and Q=S3