Let rho isin s7 be the permutation rho 2 4 51 7 3 6 let xi

Question

Let ρ ∈ S7 be the permutation ρ = (2 4 5)(1 7 3 6). Let ξ ∈ S7 be the permutation ξ = (6 7 4)(2 3 5 1). Determine a permutation σ in S7. How many such permutations σ are there? such that σρσ-1 = ξ.