Extensions 1→N→G→Q→1 with N=S₃×Dic₁₀ and Q=C₂

Direct product G=N×Q with N=S₃×Dic₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×S₃×Dic₁₀		240		C2xS3xDic10	480,1078

Semidirect products G=N:Q with N=S₃×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₁₀)⋊₁C₂ = S₃×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	120	8-	(S3xDic10):1C2	480,561
(S₃×Dic₁₀)⋊₂C₂ = C₆₀.₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	8-	(S3xDic10):2C2	480,562
(S₃×Dic₁₀)⋊₃C₂ = Dic₁₀.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	8-	(S3xDic10):3C2	480,586
(S₃×Dic₁₀)⋊₄C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	8-	(S3xDic10):4C2	480,1096
(S₃×Dic₁₀)⋊₅C₂ = S₃×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	120	8-	(S3xDic10):5C2	480,1099
(S₃×Dic₁₀)⋊₆C₂ = D₁₂.₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	8-	(S3xDic10):6C2	480,1106
(S₃×Dic₁₀)⋊₇C₂ = S₃×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	120	8-	(S3xDic10):7C2	480,1107
(S₃×Dic₁₀)⋊₈C₂ = S₃×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	120	4	(S3xDic10):8C2	480,327
(S₃×Dic₁₀)⋊₉C₂ = Dic₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	4	(S3xDic10):9C2	480,339
(S₃×Dic₁₀)⋊₁₀C₂ = C₄₀.₂D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	4-	(S3xDic10):10C2	480,350
(S₃×Dic₁₀)⋊₁₁C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	4-	(S3xDic10):11C2	480,1077
(S₃×Dic₁₀)⋊₁₂C₂ = C₃₀.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	4	(S3xDic10):12C2	480,1080
(S₃×Dic₁₀)⋊₁₃C₂ = S₃×C₄○D₂₀	φ: trivial image	120	4	(S3xDic10):13C2	480,1091

Non-split extensions G=N.Q with N=S₃×Dic₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₁₀).₁C₂ = S₃×C₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	8-	(S3xDic10).1C2	480,585
(S₃×Dic₁₀).₂C₂ = S₃×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₁₀	240	4-	(S3xDic10).2C2	480,338

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