Extensions 1→N→G→Q→1 with N=S₃×C₁₀ and Q=C₄

Direct product G=N×Q with N=S₃×C₁₀ and Q=C₄

		d	ρ	Label	ID
S₃×C₂×C₂₀		120		S3xC2xC20	240,166

Semidirect products G=N:Q with N=S₃×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁C₄ = D₆⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃×C₁₀	60	8+	(S3xC10):1C4	240,96
(S₃×C₁₀)⋊₂C₄ = C₂×S₃×F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃×C₁₀	30	8+	(S3xC10):2C4	240,195
(S₃×C₁₀)⋊₃C₄ = D₆⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):3C4	240,27
(S₃×C₁₀)⋊₄C₄ = C₂×S₃×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):4C4	240,142
(S₃×C₁₀)⋊₅C₄ = C₅×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120		(S3xC10):5C4	240,59

Non-split extensions G=N.Q with N=S₃×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).₁C₄ = S₃×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out S₃×C₁₀	120	8-	(S3xC10).1C4	240,98
(S₃×C₁₀).₂C₄ = D₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃×C₁₀	120	8-	(S3xC10).2C4	240,100
(S₃×C₁₀).₃C₄ = S₃×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).3C4	240,8
(S₃×C₁₀).₄C₄ = D₆.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120	4	(S3xC10).4C4	240,11
(S₃×C₁₀).₅C₄ = C₅×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₁₀	120	2	(S3xC10).5C4	240,50
(S₃×C₁₀).₆C₄ = S₃×C₄₀	φ: trivial image	120	2	(S3xC10).6C4	240,49

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