  Let $G$ be a non-abelian $p$-group of order $p^n$ and $M(G)$ be its Schur
multiplier. It is well known result by Green that $|M(G)| \leq
p^{\frac{1}{2}n(n-1)}$. So $|M(G)|= p^{\frac{1}{2}n(n-1)-t(G)}$ for some $t(G)
\geq 0$. The groups has already been classified for $t(G) \leq 5$ by several
authors. For $t(G)=6$ the classification has been done. In this paper we
classify $p$-groups $G$ for $t(G) = 6$ in different method.
