Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=C₁₀

Direct product G=N×Q with N=S₃×C₆ and Q=C₁₀

		d	ρ	Label	ID
S₃×C₂×C₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=S₃×C₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁C₁₀ = C₅×D₆⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	120	4	(S3xC6):1C10	360,74
(S₃×C₆)⋊₂C₁₀ = C₅×C₃⋊D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	60	4	(S3xC6):2C10	360,75
(S₃×C₆)⋊₃C₁₀ = C₁₅×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	120	2	(S3xC6):3C10	360,97
(S₃×C₆)⋊₄C₁₀ = C₁₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	60	2	(S3xC6):4C10	360,99
(S₃×C₆)⋊₅C₁₀ = S₃²×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	60	4	(S3xC6):5C10	360,153

Non-split extensions G=N.Q with N=S₃×C₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).C₁₀ = C₅×S₃×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₆	120	4	(S3xC6).C10	360,72
(S₃×C₆).₂C₁₀ = S₃×C₆₀	φ: trivial image	120	2	(S3xC6).2C10	360,96

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