Topological co-indices are used to measure the strength of a relationship between molecular substance and its properties. A topological co-index is a mathematical representation of a molecular structure that integrates specific physical features of the basic molecular structure and its mathematical representation. Mathematical chemistry uses molecular graphs, which include edges that represent bonds between molecules and vertices that represent atoms, to integrate graph theory with science. Topological co-indices are a type of topological indices that considers separate vertices configurations that are numerical values of the atomic structures, which are used to describe and analyze the various chemical structures. Chemical graph theory brings up more possibilities for scientists. Topological co-indices are frequently used because through this we can save time by determining the topological indices instead of doing time-consuming tests in a research laboratory. In this article, we computed different topological co-indices for the chemical structure of Porphyrazine Network MCIPz(n).