Order of cyclic subgroups in symmetric groups

Order of cyclic subgroups in symmetric groups

What is the largest possible order of a cyclic subgroup of s7 Whats an example of this I really just need a better understanding of cyclic subgroups of symmetric groups. I know that the largest possible subgroup of s7 is of size 7. And I know all the possible cycle structures. Would it be 6 because 1 2 3 4 5 6 is a cyclis subgroup generated by the size of s6 or the element 1 3 4 5 5 6

Hint: The order of a cyclic subgroup is the order of any of its generators. The order of an element of S_n is the lcm of the lengths of the cycles in its disjoint cycle decomposition. Example: in S_7 you have a cyclic subgroup of order 102times 5 generated by 1 23 4 5 6 7.