Question:

What are the orders of the Sylow p-subgroups of the symmetric group ?

Give the possible orders of each Sylow p-subgroup of .

(N.B. If there are many possible orders, then give at least four).

Can anyone help me to understand what is meant by the above question please?

So far i understand that is the symmetric group of degree 6.

that is the symmetric group on { }

and i think that the order is given by .

where do i go from there?