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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×Dic₅) = Dic₅×SL₂(𝔽₃)	φ: C₃×Dic₅/Dic₅ → C₃ ⊆ Out Q₈	160		Q8:(C3xDic5)	480,266
Q₈⋊₂(C₃×Dic₅) = C₃×Q₈⋊Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Out Q₈	480		Q8:2(C3xDic5)	480,113
Q₈⋊₃(C₃×Dic₅) = C₃×D₄⋊₂Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:3(C3xDic5)	480,115

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃×Dic₅) = SL₂(𝔽₃).Dic₅	φ: C₃×Dic₅/Dic₅ → C₃ ⊆ Out Q₈	160	4	Q8.(C3xDic5)	480,267
Q₈.₂(C₃×Dic₅) = C₃×D₄.Dic₅	φ: trivial image	240	4	Q8.2(C3xDic5)	480,741

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