Extensions 1→N→G→Q→1 with N=S₃×C₁₀ and Q=S₃

Direct product G=N×Q with N=S₃×C₁₀ and Q=S₃

		d	ρ	Label	ID
S₃²×C₁₀		60	4	S3^2xC10	360,153

Semidirect products G=N:Q with N=S₃×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁S₃ = D₆⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	120	4-	(S3xC10):1S3	360,80
(S₃×C₁₀)⋊₂S₃ = D₆⋊₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	60	4+	(S3xC10):2S3	360,82
(S₃×C₁₀)⋊₃S₃ = C₂×S₃×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	60	4+	(S3xC10):3S3	360,154
(S₃×C₁₀)⋊₄S₃ = C₅×D₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10):4S3	360,74
(S₃×C₁₀)⋊₅S₃ = C₅×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10):5S3	360,75

Non-split extensions G=N.Q with N=S₃×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).S₃ = S₃×Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out S₃×C₁₀	120	4-	(S3xC10).S3	360,78
(S₃×C₁₀).₂S₃ = C₅×S₃×Dic₃	φ: trivial image	120	4	(S3xC10).2S3	360,72

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