Extensions 1→N→G→Q→1 with N=D₁₀ and Q=S₃

Direct product G=N×Q with N=D₁₀ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₅		30	4+	C2xS3xD5	120,42

Semidirect products G=N:Q with N=D₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁S₃ = C₁₅⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out D₁₀	60	4-	D10:1S3	120,11
D₁₀⋊₂S₃ = C₃⋊D₂₀	φ: S₃/C₃ → C₂ ⊆ Out D₁₀	60	4+	D10:2S3	120,12

Non-split extensions G=N.Q with N=D₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.S₃ = C₂×C₃⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out D₁₀	30	4	D10.S3	120,41
D₁₀.₂S₃ = D₅×Dic₃	φ: trivial image	60	4-	D10.2S3	120,8

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Extensions 1→N→G→Q→1 with N=D10 and Q=S3