Isomorphism and Subgraphs · Medium problem

Graph $G$ has vertices $1,\ldots,7$ with a triangle on $\{1,2,3\}$ (edges $12,13,23$) and a $4$-cycle on $\{4,5,6,7\}$ (edges $45,56,67,47$), with no edges between the two groups. Graph $H$ has the same $7$ vertices arranged in a single $7$-cycle (edges $12,23,34,45,56,67,17$). Both have $7$ edges. By how much do the numbers of triangles in $G$ and $H$ differ?