This work focuses on the evaluation of voting power in dichotomous multi-type games endowed with a coalition structure. Dichotomous multi-type games, introduced by Courtin et al. [2016], model games in which there is a number of non-ordered types of support in the input, while the output is dichotomous, i.e. the proposal is either accepted or rejected. In a game with a coalition structure, it is supposed that players organize themselves into disjoint coalitions wich are defined a priori. We extend the well-known Owen index (Owen [1977]) and Banzhaf-Owen index (Owen [1981]) to this class of games. A full characterization of these power indices is provided.