Exercise 5: You only need to do parts (a) through (d) here! Note the problem is asking for both right and left cosets; sometimes these will be the same but other times they will not. Use Examples 6.1 and 6.2 as models, though note these examples are only showing the left cosets.

5. List the left and right cosets of the subgroups in each of the following. a. (8) in Z24 b. (3) in U(8) c. 3Z in Z d. A4 in S4 e. An in Sn f. D4 in S4 g. T in C* h. H = {(1), (123), (132)} in S4