Abstract For a group G and m 1, Gᵐ denotes the subgroup generated by the elements gᵐ, where g runs through G. The subgroups not of the form Gᵐ are called nonpower subgroups. We extend the classification of groups with few nonpower subgroups from groups with at most nine nonpower subgroups to groups with at most 13 nonpower subgroups.
ZHENG et al. (2026) studied this question.