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		240	8	C3xQ8.F5	480,1055

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) = D₆₀.C₄	φ: Q₈.F₅/D₅⋊C₈ → C₂ ⊆ Aut C₃	240	8+	C3:1(Q8.F5)	480,990
C₃⋊₂(Q₈.F₅) = Dic₆.F₅	φ: Q₈.F₅/C₄.F₅ → C₂ ⊆ Aut C₃	240	8+	C3:2(Q8.F5)	480,992
C₃⋊₃(Q₈.F₅) = D₂₀.Dic₃	φ: Q₈.F₅/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	240	8	C3:3(Q8.F5)	480,1068

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