Extensions 1→N→G→Q→1 with N=D₃₀ and Q=S₃

Direct product G=N×Q with N=D₃₀ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₁₅		60	4+	C2xS3xD15	360,154

Semidirect products G=N:Q with N=D₃₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀⋊₁S₃ = D₆⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	120	4-	D30:1S3	360,80
D₃₀⋊₂S₃ = C₃⋊D₆₀	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	60	4+	D30:2S3	360,81
D₃₀⋊₃S₃ = D₃₀⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	60	4	D30:3S3	360,86
D₃₀⋊₄S₃ = C₃²⋊₃D₂₀	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	120	4	D30:4S3	360,87
D₃₀⋊₅S₃ = C₂×D₁₅⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	60	4	D30:5S3	360,155

Non-split extensions G=N.Q with N=D₃₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.S₃ = D₃₀.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₃₀	120	4	D30.S3	360,84
D₃₀.₂S₃ = Dic₃×D₁₅	φ: trivial image	120	4-	D30.2S3	360,77

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