Extensions 1→N→G→Q→1 with N=S₃xD₄ and Q=D₅

Direct product G=NxQ with N=S₃xD₄ and Q=D₅

		d	ρ	Label	ID
S₃xD₄xD₅		60	8+	S3xD4xD5	480,1097

Semidirect products G=N:Q with N=S₃xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xD₄):₁D₅ = S₃xD₄:D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8+	(S3xD4):1D5	480,555
(S₃xD₄):₂D₅ = D₂₀:₁₀D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8-	(S3xD4):2D5	480,570
(S₃xD₄):₃D₅ = D₁₂.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8+	(S3xD4):3D5	480,572
(S₃xD₄):₄D₅ = D₂₀:₁₃D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8-	(S3xD4):4D5	480,1101
(S₃xD₄):₅D₅ = D₁₂:₁₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8+	(S3xD4):5D5	480,1103
(S₃xD₄):₆D₅ = S₃xD₄:₂D₅	φ: trivial image	120	8-	(S3xD4):6D5	480,1099

Non-split extensions G=N.Q with N=S₃xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xD₄).D₅ = S₃xD₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃xD₄	120	8-	(S3xD4).D5	480,561

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