Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₁₅

Direct product G=N×Q with N=Q₈ and Q=Dic₁₅

		d	ρ	Label	ID
Q₈×Dic₁₅		480		Q8xDic15	480,910

Semidirect products G=N:Q with N=Q₈ and Q=Dic₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₁₅ = Q₈⋊Dic₁₅	φ: Dic₁₅/C₁₀ → S₃ ⊆ Out Q₈	160		Q8:Dic15	480,260
Q₈⋊₂Dic₁₅ = Q₈⋊₂Dic₁₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Out Q₈	480		Q8:2Dic15	480,195
Q₈⋊₃Dic₁₅ = Q₈⋊₃Dic₁₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:3Dic15	480,197

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₁₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₁₅ = C₅⋊₂U₂(𝔽₃)	φ: Dic₁₅/C₁₀ → S₃ ⊆ Out Q₈	120	4	Q8.Dic15	480,261
Q₈.₂Dic₁₅ = D₄.Dic₁₅	φ: trivial image	240	4	Q8.2Dic15	480,913

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Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic15