Question

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