Extensions 1→N→G→Q→1 with N=S₃×C₈ and Q=D₅

Direct product G=N×Q with N=S₃×C₈ and Q=D₅

		d	ρ	Label	ID
S₃×C₈×D₅		120	4	S3xC8xD5	480,319

Semidirect products G=N:Q with N=S₃×C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁D₅ = S₃×D₄₀	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	120	4+	(S3xC8):1D5	480,328
(S₃×C₈)⋊₂D₅ = D₄₀⋊₇S₃	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4-	(S3xC8):2D5	480,349
(S₃×C₈)⋊₃D₅ = D₁₂₀⋊₅C₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4+	(S3xC8):3D5	480,351
(S₃×C₈)⋊₄D₅ = S₃×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	120	4	(S3xC8):4D5	480,327
(S₃×C₈)⋊₅D₅ = D₆.₁D₂₀	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):5D5	480,348
(S₃×C₈)⋊₆D₅ = C₄₀.₅₄D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):6D5	480,341
(S₃×C₈)⋊₇D₅ = S₃×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	120	4	(S3xC8):7D5	480,321
(S₃×C₈)⋊₈D₅ = C₄₀.₅₅D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8):8D5	480,343

Non-split extensions G=N.Q with N=S₃×C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁D₅ = S₃×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4-	(S3xC8).1D5	480,338
(S₃×C₈).₂D₅ = C₄₀.₅₂D₆	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₈	240	4	(S3xC8).2D5	480,11
(S₃×C₈).₃D₅ = S₃×C₅⋊₂C₁₆	φ: trivial image	240	4	(S3xC8).3D5	480,8

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