  We show that unrolled quantum groups at odd roots of unity give rise to
relative modular categories. These are the main building blocks for the
construction of 1+1+1-TQFTs extending CGP invariants, which are non-semisimple
quantum invariants of closed 3-manifolds decorated with ribbon graphs and
cohomology classes. When we consider the zero cohomology class, these quantum
invariants are shown to coincide with the renormalized Hennings invariants
coming from the corresponding small quantum groups.
