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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁C₆ = C₃×C₁₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10):1C6	360,61
(S₃×C₁₀)⋊₂C₆ = C₃×C₅⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10):2C6	360,63
(S₃×C₁₀)⋊₃C₆ = S₃×C₆×D₅	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	60	4	(S3xC10):3C6	360,151
(S₃×C₁₀)⋊₄C₆ = C₁₅×D₁₂	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	120	2	(S3xC10):4C6	360,97
(S₃×C₁₀)⋊₅C₆ = C₁₅×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	60	2	(S3xC10):5C6	360,99

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).C₆ = C₃×S₃×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).C6	360,59
(S₃×C₁₀).₂C₆ = S₃×C₆₀	φ: trivial image	120	2	(S3xC10).2C6	360,96

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