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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(Q₈×Dic₃) = Q₈×C₃⋊F₅	φ: Q₈×Dic₃/C₃×Q₈ → C₄ ⊆ Aut C₅	120	8	C5:(Q8xDic3)	480,1069
C₅⋊₂(Q₈×Dic₃) = Dic₃×Dic₁₀	φ: Q₈×Dic₃/C₄×Dic₃ → C₂ ⊆ Aut C₅	480		C5:2(Q8xDic3)	480,406
C₅⋊₃(Q₈×Dic₃) = Dic₁₅⋊₆Q₈	φ: Q₈×Dic₃/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	480		C5:3(Q8xDic3)	480,407
C₅⋊₄(Q₈×Dic₃) = Q₈×Dic₁₅	φ: Q₈×Dic₃/C₆×Q₈ → C₂ ⊆ Aut C₅	480		C5:4(Q8xDic3)	480,910

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