hi all, just an interesting coset problem I'm having trouble with -

Find the right and left cosets in G of the subgroups H and K of G.

$\displaystyle G=A_4$; $\displaystyle H=\{e,(1 2)(3 4),(1 3)(2 4), (1 4)(2 3)\}$; $\displaystyle K=<(1 2 3)>$

What do you guys think?