Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=Dic₅

Direct product G=N×Q with N=C₃×Q₈ and Q=Dic₅

		d	ρ	Label	ID
C₃×Q₈×Dic₅		480		C3xQ8xDic5	480,738

Semidirect products G=N:Q with N=C₃×Q₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁Dic₅ = Q₈⋊₂Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):1Dic5	480,195
(C₃×Q₈)⋊₂Dic₅ = Q₈⋊₃Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):2Dic5	480,197
(C₃×Q₈)⋊₃Dic₅ = Q₈×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):3Dic5	480,910
(C₃×Q₈)⋊₄Dic₅ = C₃×Q₈⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	480		(C3xQ8):4Dic5	480,113
(C₃×Q₈)⋊₅Dic₅ = C₃×D₄⋊₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	120	4	(C3xQ8):5Dic5	480,115

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).Dic₅ = D₄.Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₃×Q₈	240	4	(C3xQ8).Dic5	480,913
(C₃×Q₈).₂Dic₅ = C₃×D₄.Dic₅	φ: trivial image	240	4	(C3xQ8).2Dic5	480,741

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