Extensions 1→N→G→Q→1 with N=D₈ and Q=S₃

Direct product G=N×Q with N=D₈ and Q=S₃

		d	ρ	Label	ID
S₃×D₈		24	4+	S3xD8	96,117

Semidirect products G=N:Q with N=D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁S₃ = C₃⋊D₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₈	48	4+	D8:1S3	96,33
D₈⋊₂S₃ = D₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₈	24	4	D8:2S3	96,118
D₈⋊₃S₃ = D₈⋊₃S₃	φ: trivial image	48	4-	D8:3S3	96,119

Non-split extensions G=N.Q with N=D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.S₃ = D₈.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₈	48	4-	D8.S3	96,34

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Extensions 1→N→G→Q→1 with N=D8 and Q=S3