  In previous papers we extended the Lorentz and Poincare groups to include a
set of Dirac boosts that give a direct correspondence with a set of generators
which for spin 1/2 systems are proportional to the Dirac matrices. The groups
are particularly useful for developing general linear wave equations beyond
spin 1/2 systems. In this paper we develop explicit group properties of the
extended Poincare group to obtain group parameters that will be useful for
physical calculations in systems which manifest the group properties. The
inclusion of space-time translations will allow future explorations of the
gauge properties inherent in the group structure.
