Cosets and Lagrange's Theorem · Hard problem

In $S_4$, let $H=\langle(1234)\rangle = \{e,(1234),(13)(24),(1432)\}$, order $4$. Of the four permutations $(13)$, $(14)(23)$, $(1324)$, $(234)$, how many lie in the left coset $(12)H$?