  The Gehring-Martin-Tan inequality for 2-generator subgroups of PSL(2,C) is
one of the best known discreteness conditions. A Kleinian group $G$ is called a
Gehring-Martin-Tan group if the equality holds for the group $G$. We give a
method for constructing Gehring-Martin-Tan groups with a generator of order
four and present some examples. These groups arise as groups of finite volume
hyperbolic 3-orbifolds.
