  We start by introducing the basics of configurations of points and lines, and
then move into discussing symmetry groups of these configurations.
Specifically, we explore how we might classify the symmetries of $(9_3)$ and
$(10_3)$ geometric configurations, given the graph automorphisms of their
underlying set-configurations. Finally, we show how a specific class of
combinatorial configurations called generalized cyclic configurations can be
explored using this terminology, and give several interesting geometric
results.
