m = 12

(25p) 2. (In this question, if the last digit of your student ID is even, then n is 10 more than the last digit of your student ID. For instance, if your ID is 17025062, then m = 12. If the last digit of your student ID is odd, then n is 11 more than the last digit of your student ID. For instance, if your ID is 17025063, then m = 14). (1) Let a be an element of order n. Find all subgroups of and draw the lattice diagram. Determine whether is simple. What is the order of a"? (ii) Let G be a non-Abelian group that has non-trivial center and G|- p where p is a prime number. Show that Z(G) is cyclic