MathCastle
Groups and FieldsMediumPermutation Groups

Permutation Groups · Medium problem

The permutation σ∈S8\sigma\in S_8 sends 1,2,3,4,5,6,7,81,2,3,4,5,6,7,8 to 3,6,5,8,1,2,4,73,6,5,8,1,2,4,7. Written in disjoint cycle notation (leaving out fixed points), how many cycles does it have?