Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=S₃

Direct product G=N×Q with N=C₅×Dic₃ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×Dic₃		120	4	C5xS3xDic3	360,72

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁S₃ = Dic₃×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	120	4-	(C5xDic3):1S3	360,77
(C₅×Dic₃)⋊₂S₃ = C₆.D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):2S3	360,79
(C₅×Dic₃)⋊₃S₃ = C₃⋊D₆₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	60	4+	(C5xDic3):3S3	360,81
(C₅×Dic₃)⋊₄S₃ = C₅×C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	60	4	(C5xDic3):4S3	360,75
(C₅×Dic₃)⋊₅S₃ = C₅×C₆.D₆	φ: trivial image	60	4	(C5xDic3):5S3	360,73

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁S₃ = C₃⋊Dic₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	120	4-	(C5xDic3).1S3	360,83
(C₅×Dic₃).₂S₃ = C₅×C₃²⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).2S3	360,76

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