Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅×Dic₃

Direct product G=N×Q with N=Q₈ and Q=C₅×Dic₃

		d	ρ	Label	ID
C₅×Q₈×Dic₃		480		C5xQ8xDic3	480,824

Semidirect products G=N:Q with N=Q₈ and Q=C₅×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₅×Dic₃) = C₅×Q₈⋊Dic₃	φ: C₅×Dic₃/C₁₀ → S₃ ⊆ Out Q₈	160		Q8:(C5xDic3)	480,256
Q₈⋊₂(C₅×Dic₃) = C₅×Q₈⋊₂Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Out Q₈	480		Q8:2(C5xDic3)	480,154
Q₈⋊₃(C₅×Dic₃) = C₅×Q₈⋊₃Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Out Q₈	120	4	Q8:3(C5xDic3)	480,156

Non-split extensions G=N.Q with N=Q₈ and Q=C₅×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₅×Dic₃) = C₅×U₂(𝔽₃)	φ: C₅×Dic₃/C₁₀ → S₃ ⊆ Out Q₈	120	2	Q8.(C5xDic3)	480,257
Q₈.₂(C₅×Dic₃) = C₅×D₄.Dic₃	φ: trivial image	240	4	Q8.2(C5xDic3)	480,827

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×Dic3