On classification of groups having Schur multiplier of maximum order

Let \({G}\) be a non-abelian finite \({p}\)-group of order \({p^n}\) with \({|G'| = p^k}\). Let \({M(G)}\) denote the Schur multiplier of \({G}\). Niroomand proved that \({|M(G)| \leq p^{\frac{1}{2}(n-k-1)(n+k-2)+1}}\). In this article we classify \({p}\)-groups \({G}\) of nilpotency class 2 for which \({|M(G)|}\) attains this bound.