Given A = {1, 2, 3, 4). Let S4 be the permutation group on A

Last updated: 7/13/2022

Given A = {1, 2, 3, 4). Let S4 be the permutation group on A and H = {e, (1 2) (3 4), (1 3) (2 4), (14) (2 3)} be the subgroup of S4. S4= {H, (1 2) H, (1 3) H, (2 3) H, (123) H, (132) H} Determine whether S4/H is isomorphic to S3.