Extensions 1→N→G→Q→1 with N=S₃×Q₈ and Q=D₅

Direct product G=N×Q with N=S₃×Q₈ and Q=D₅

		d	ρ	Label	ID
S₃×Q₈×D₅		120	8-	S3xQ8xD5	480,1107

Semidirect products G=N:Q with N=S₃×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈)⋊₁D₅ = S₃×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	120	8+	(S3xQ8):1D5	480,579
(S₃×Q₈)⋊₂D₅ = D₂₀.₂₈D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	240	8-	(S3xQ8):2D5	480,594
(S₃×Q₈)⋊₃D₅ = C₆₀.₄₄C₂³	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	240	8+	(S3xQ8):3D5	480,596
(S₃×Q₈)⋊₄D₅ = D₂₀.₂₉D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	240	8-	(S3xQ8):4D5	480,1104
(S₃×Q₈)⋊₅D₅ = C₃₀.₃₃C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	240	8+	(S3xQ8):5D5	480,1105
(S₃×Q₈)⋊₆D₅ = S₃×Q₈⋊₂D₅	φ: trivial image	120	8+	(S3xQ8):6D5	480,1109

Non-split extensions G=N.Q with N=S₃×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×Q₈).D₅ = S₃×C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×Q₈	240	8-	(S3xQ8).D5	480,585

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