GAP is a software package for working with groups and algebraic structures. A share package for GAP was developed to compute the basic algebra corresponding to a given group algebra. A basic algebra is a specialized structure containing much of the information from the group algebra but significantly smaller. Using the cluster, basic algebra as large as 898,128,000 has been computed. A new high performance computing version of GAP was implemented using MAUI. Dr. Hoffman has computed basic algebras for groups as large as 898,128,000. Most notably, the basic algebra for the sporadic group McL in characteristic 3 has been computed