Let H be as in Exercise 1. How many left cosets of H in S4 are there? (Determine this wi...

Let H be as in Exercise 1. How many left cosets of H in S₄ are there? (Determine this without listing them.)

Reference:

Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A₄ (see Table 5.1 on page 111).