  This exploratory paper considers the notion of a covering of a configuration
and $G$-coverings which are coverings that are quotients under a semi-regular
group action. We consider prime configurations, those which cannot $G$-cover
other configurations, before considering orbiconfigurations. These are a
generalized notion of a configuration in the spirit of an orbifold. We derive
some specific results as to when configurations are prime as well as
considering when an orbiconfiguration is bad - that is, when it cannot be
$G$-covered by a configuration. A number of open questions are posited within.
