A family of isomorphic fusion algebras of twisted quantum doubles of finite groups

Let Dω(G) be the twisted quantum double of a finite group, G, where . For each , there exists an ω such that D(G) and Dω(E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 22n+1 elements, and E is an elementary abelian group with E=G.