A long-standing debate in group ontology and group epistemology concerns whether some groups possess mental states and/or epistemic states such as knowledge that do not reduce to the mental states and/or epistemic states of the individuals who comprise such groups (and are also states not possessed by any of the members). Call those who think there are such states inflationists. There has recently been a defense in the literature of a specific type of inflationary knowledge—viz., knowledge of facts about group (...) minds or group self-knowledge (GS-K). In this paper I address whether some groups do possess such knowledge. I argue that we have good reason to think they do not. I do so by exploring the most explicit defense of such knowledge in the literature—Lukas Schwengerer’s (2022) defense—as well as other ways of defending this thesis and arguing that such ways are problematic. In the latter part of the paper, I explain why the two most popular inflationary approaches to group knowledge simpliciter are incompatible with there being GS-K. In doing so I work to show why even inflationists should reject the view that there is inflationary group self-knowledge. (shrink)