The notion of the type and typeset were introduced by Baer in 1937 in order to develop a classification of rank n subgroups of ${\mathbb{Q}}^n$. In this talk, we will introduce the notion of the type and typeset for minimal equicontinuous actions of non-abelian groups. In particular, we show that the commensurable class of the typeset is an invariant of the return equivalence class of such an action.