fusion categories appear in many areas of mathematics. they are realized by topological quantum field theories, representations of finite groups and hopf algebras, and invariants for knots and murray-von neumann subfactors. an important numerical invariant of these categories are the frobenius-schur indicators, which are generalized versions of those for finite group representations. using these categorical indicators we are able to distinguish near-group fusion categories, that is those fusion categories with one non-invertible object, and obtain some realizations of their tensor equivalence classes.