Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=S₃

Direct product G=N×Q with N=C₅×D₄ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×D₄		60	4	C5xS3xD4	240,169

Semidirect products G=N:Q with N=C₅×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁S₃ = D₄⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	120	4+	(C5xD4):1S3	240,76
(C₅×D₄)⋊₂S₃ = D₄×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	60	4+	(C5xD4):2S3	240,179
(C₅×D₄)⋊₃S₃ = D₄⋊₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	120	4-	(C5xD4):3S3	240,180
(C₅×D₄)⋊₄S₃ = C₅×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):4S3	240,60
(C₅×D₄)⋊₅S₃ = C₅×D₄⋊₂S₃	φ: trivial image	120	4	(C5xD4):5S3	240,170

Non-split extensions G=N.Q with N=C₅×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁S₃ = D₄.D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	120	4-	(C5xD4).1S3	240,77
(C₅×D₄).₂S₃ = C₅×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4).2S3	240,61

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