In this paper, we consider the relative significance of concrete and abstract features for the identity and persistence of a group. The theoretical background for our analysis is the position according to which groups are realizations of structures. Our main argument is that the relative significance of the abstract features with respect to the significance of concrete features can vary across different types of groups. The argumentation will be backed by introducing the examples in which we show that this difference (...) in significance can affect the identity and persistence of the group. (shrink)