I would like to get help with this question and be sure to show steps; please be clear with your solution. Thank you for the help

5. Let * be a binary operation on S=(a,b,c; and # be a binary operation on T=(1,2,3) . Further assume and (T,#> are both groups. a. (5 pts.) Find the identity for each group, label the identity for S as es and the identity for T as ey. To answer part b use the fact that if 4 is an isomorphism from S to T then p (es) = er b. (15 pts.) Are these two groups isomorphic? Explain why not or find the isomorphism and prove it is an isomorphism. a C 1 2 3 a C a b 1 2 3 b a b C 2 213 1 C b C a 3 3 | 1 2