I am finding all abelian subgroups of a symmetric group $\displaystyle S_{n}$ for n>=5.

What I have found so far is

1. {e} : trivial group

2. a cyclic group of order n

3. a quotient group of order 2: $\displaystyle S_{n}/A_{n}$.

I am wondering if below 4 is correct.

4. "a cyclic group of order k which is a divisor of n"

Any more subgroup exists for $\displaystyle S_{n}$?