Chermak-Delgado Lattice For A Finite P-group G With |G/Z(G)| =p~5

Let G be a group and H a subgroup of G. Chermak-Delgado measure was originally introduced by A. Chermak and A. Delgado. the Chermak-Delgado measure of H in G is defined as |H||CG(H)|. The set of all sub-groups with maximal Chermak-Delgado measure form a sublattice,which is called Chermak-Delgado lattice. in this paper,we give Chermak-Delgado lattice for a finite p-group G with|G/Z(G)|= p5.