Anabanti, Chimere S.Hart, S.B.2023-07-052022-10Anabanti, C.S. & Hart, S.B. 2022, 'Groups with a given number of nonpower subgroups', Bulletin of the Australian Mathematical Society, vol. 106, no. 2, pp. 315-319, doi : 10.1017/S0004972721001179.0004-9727 (print)1755-1633 (online)10.1017/S0004972721001179http://hdl.handle.net/2263/91281No group has exactly one or two nonpower subgroups. We classify groups containing exactly three nonpower subgroups and show that there is a unique finite group with exactly four nonpower subgroups. Finally, we show that given any integer k greater than 4 , there are infinitely many groups with exactly k nonpower subgroups.en© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.Counting subgroupsNonpower subgroupsFinite groupsPostprint Article