Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂F₅

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂F₅

		d	ρ	Label	ID
C₃×Q₈⋊₂F₅		120	8	C3xQ8:2F5	480,290

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₂F₅) = D₆₀⋊₂C₄	φ: Q₈⋊₂F₅/C₄.F₅ → C₂ ⊆ Aut C₃	120	8+	C3:1(Q8:2F5)	480,233
C₃⋊₂(Q₈⋊₂F₅) = D₆₀⋊₅C₄	φ: Q₈⋊₂F₅/C₄×F₅ → C₂ ⊆ Aut C₃	120	8+	C3:2(Q8:2F5)	480,234
C₃⋊₃(Q₈⋊₂F₅) = D₂₀⋊₂Dic₃	φ: Q₈⋊₂F₅/Q₈⋊₂D₅ → C₂ ⊆ Aut C₃	120	8	C3:3(Q8:2F5)	480,315

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