  In 2015, Raum and Weber gave a definition of group-theoretical quantum
groups, a class of compact matrix quantum groups with a certain presentation as
semi-direct product quantum groups, and studied the case of easy quantum
groups. In this article we determine the intertwiner spaces of non-easy
group-theoretical quantum groups. We generalise group-theoretical categories of
partitions and use a fiber functor to map partitions to linear maps which is
slightly different from the one for easy quantum groups. We show that this
construction provides the intertwiner spaces of group-theoretical quantum
groups in general.
