Extensions 1→N→G→Q→1 with N=S₃×Dic₅ and Q=C₂

Direct product G=N×Q with N=S₃×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×S₃×Dic₅		120		C2xS3xDic5	240,142

Semidirect products G=N:Q with N=S₃×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅)⋊₁C₂ = D₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5):1C2	240,129
(S₃×Dic₅)⋊₂C₂ = D₁₂⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	4-	(S3xDic5):2C2	240,133
(S₃×Dic₅)⋊₃C₂ = C₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	4-	(S3xDic5):3C2	240,141
(S₃×Dic₅)⋊₄C₂ = Dic₃.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	4	(S3xDic5):4C2	240,143
(S₃×Dic₅)⋊₅C₂ = S₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	60	4	(S3xDic5):5C2	240,150
(S₃×Dic₅)⋊₆C₂ = C₄×S₃×D₅	φ: trivial image	60	4	(S3xDic5):6C2	240,135

Non-split extensions G=N.Q with N=S₃×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Dic₅).₁C₂ = S₃×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	4-	(S3xDic5).1C2	240,128
(S₃×Dic₅).₂C₂ = S₃×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5).2C2	240,98
(S₃×Dic₅).₃C₂ = D₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out S₃×Dic₅	120	8-	(S3xDic5).3C2	240,100

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