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

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

		d	ρ	Label	ID
S₃×C₂×C₁₀		60		S3xC2xC10	120,45

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀)⋊₁C₂ = C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	60	4-	(S3xC10):1C2	120,11
(S₃×C₁₀)⋊₂C₂ = C₅⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	60	4+	(S3xC10):2C2	120,13
(S₃×C₁₀)⋊₃C₂ = C₂×S₃×D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	30	4+	(S3xC10):3C2	120,42
(S₃×C₁₀)⋊₄C₂ = C₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	60	2	(S3xC10):4C2	120,23
(S₃×C₁₀)⋊₅C₂ = C₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	60	2	(S3xC10):5C2	120,25

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₁₀).C₂ = S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₁₀	60	4-	(S3xC10).C2	120,9
(S₃×C₁₀).₂C₂ = S₃×C₂₀	φ: trivial image	60	2	(S3xC10).2C2	120,22

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