Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊F₅

Direct product G=N×Q with N=C₃ and Q=Q₈⋊F₅

		d	ρ	Label	ID
C₃×Q₈⋊F₅		120	8	C3xQ8:F5	480,289

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊F₅) = Dic₃₀⋊C₄	φ: Q₈⋊F₅/D₅⋊C₈ → C₂ ⊆ Aut C₃	120	8-	C3:1(Q8:F5)	480,230
C₃⋊₂(Q₈⋊F₅) = Dic₆⋊F₅	φ: Q₈⋊F₅/C₄⋊F₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(Q8:F5)	480,229
C₃⋊₃(Q₈⋊F₅) = Dic₁₀⋊₂Dic₃	φ: Q₈⋊F₅/Q₈×D₅ → C₂ ⊆ Aut C₃	120	8	C3:3(Q8:F5)	480,314

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