This paper explores the claim that explanation of a group's behaviour in term of individual mental states is, in principle, superior to explanation of that behaviour in terms of group mental states. We focus on the supposition that individual-level explanation is superior because it is simpler than group-level explanation. In this paper, we consider three different simplicity metrics. We argue that on none of those metrics does individual-level explanation achieve greater simplicity than a group-level alternative. We conclude that an argument against group minds should not lay weight on concerns of explanatory simplicity.