Extensions 1→N→G→Q→1 with N=S₃xQ₈ and Q=D₅

Direct product G=NxQ with N=S₃xQ₈ and Q=D₅

		d	ρ	Label	ID
S₃xQ₈xD₅		120	8-	S3xQ8xD5	480,1107

Semidirect products G=N:Q with N=S₃xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈):₁D₅ = S₃xQ₈:D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	120	8+	(S3xQ8):1D5	480,579
(S₃xQ₈):₂D₅ = D₂₀.₂₈D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	240	8-	(S3xQ8):2D5	480,594
(S₃xQ₈):₃D₅ = C₆₀.₄₄C₂³	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	240	8+	(S3xQ8):3D5	480,596
(S₃xQ₈):₄D₅ = D₂₀.₂₉D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	240	8-	(S3xQ8):4D5	480,1104
(S₃xQ₈):₅D₅ = C₃₀.₃₃C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	240	8+	(S3xQ8):5D5	480,1105
(S₃xQ₈):₆D₅ = S₃xQ₈:₂D₅	φ: trivial image	120	8+	(S3xQ8):6D5	480,1109

Non-split extensions G=N.Q with N=S₃xQ₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xQ₈).D₅ = S₃xC₅:Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out S₃xQ₈	240	8-	(S3xQ8).D5	480,585

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