Subroups of $PSL(3,\mathbb{C})$ with four lines in general position in its Limit Set

In this article we provide an algebraic characterization of those groups of $PSL(3,\mathbb{C})$ whose limit set in the Kulkarni sense has, exactly, four lines in general position. Also we show that, for this class of groups, the equicontinuity set of the group is the largest open set where the group acts discontinuously and agrees with the discontinuity set of the group.