36. Exhibit two groups of the same finite order that are not isomorphic. 37. Let o be an isomorphism from group G to group H. Let x be in G. Prove that 4(x") = ($(x))" for every integer n. 38. If G...

Please help with number 37 using only the definitions of isomorphism if possible.

Extracted text: 36. Exhibit two groups of the same finite order that are not isomorphic. 37. Let o be an isomorphism from group G to group H. Let x be in G. Prove that 4(x") = ($(x))" for every integer n. 38. If G and H are groups and (: G → H is an isomorphism, prove that a and ø(a) have the same order, for any a E G.