Consider the following two permutations in S_8:

   1 2 3 4 5 6 7 8
P=
   3 6 8 1 2 5 7 4

   1 2 3 4 5 6 7 8 
Q= 
   5 7 6 8 3 1 2 4

Find the order of the subgroup generated by P.
Find the order of the subgroup generated by Q.