The common assumption is that if a group comprising moral agents can act intentionally, as a group, then the group itself can also be properly regarded as a moral agent with respect to that action. I argue, however, that this common assumption is the result of a problematic line of reasoning I refer to as "the collective fallacy." Recognizing the collective fallacy as a fallacy allows us to see that if there are, in fact, irreducibly joint actors, then some of them will lack the full-fledged moral agency of their members. The descriptivist question of whether a group can perform irreducibly joint intentional action need not rise and fall with the normative question of whether a group can be a moral agent.