  Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A
generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical
Society, 11:663--688, 2005.]. This article considers the basic properties that
a Kronecker quotient should satisfy and additional properties which may be
satisfied. A class of Kronecker quotients for which these properties have a
natural description is completely characterized. Two examples of types of
Kronecker quotients are described.
