Let G be a finite group. The order supergraph of is the graph with vertex set G, and two distinct vertices x, y are adjacent if o(x)|o(y) or o(y)|o(x). enhanced power whose they generate cyclic subgroup. reduced 〈x〉⊂〈y〉 〈y〉⊂〈x〉. In this article, we characterize strong metric dimension supergraph,