Extensions 1→N→G→Q→1 with N=S₃×C₂×C₁₀ and Q=C₂

Direct product G=N×Q with N=S₃×C₂×C₁₀ and Q=C₂

		d	ρ	Label	ID
S₃×C₂²×C₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=S₃×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₀)⋊₁C₂ = C₂×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10):1C2	240,145
(S₃×C₂×C₁₀)⋊₂C₂ = C₂×C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10):2C2	240,147
(S₃×C₂×C₁₀)⋊₃C₂ = S₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	60	4	(S3xC2xC10):3C2	240,150
(S₃×C₂×C₁₀)⋊₄C₂ = C₂²×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	60		(S3xC2xC10):4C2	240,202
(S₃×C₂×C₁₀)⋊₅C₂ = C₁₀×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10):5C2	240,167
(S₃×C₂×C₁₀)⋊₆C₂ = C₅×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	60	4	(S3xC2xC10):6C2	240,169
(S₃×C₂×C₁₀)⋊₇C₂ = C₁₀×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10):7C2	240,174

Non-split extensions G=N.Q with N=S₃×C₂×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₁₀).₁C₂ = D₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10).1C2	240,27
(S₃×C₂×C₁₀).₂C₂ = C₂×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10).2C2	240,142
(S₃×C₂×C₁₀).₃C₂ = C₅×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂×C₁₀	120		(S3xC2xC10).3C2	240,59
(S₃×C₂×C₁₀).₄C₂ = S₃×C₂×C₂₀	φ: trivial image	120		(S3xC2xC10).4C2	240,166

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