Examples

• The order of the identity is 1.
• The order of the permutation [2, 1, 3] (in list notation) in S₃ is 2.
• The order of the permutation g = [2, 3, 4, 1] (in list notation) in S₄ is 4:
  g² = [3, 4, 1, 2], g³ = [4, 1, 2, 3], g⁴ = [1, 2, 3, 4] = e.