In a previous paper we extended the Lorentz group 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 group is
particularly useful for developing general linear wave equations beyond spin
1/2 systems. In this paper we develop explicit group properties of this
extended Lorentz group to obtain group parameters that will be useful for
physical calculations for systems which might manifest the group properties.
This group is a subgroup of an extended Poincare group, whose structure will be
developed in a subsequent paper.