  Group-theoretical fusion categories are defined by data concerning finite
groups and their cohomology: A finite group $G$ endowed with a three-cocycle
$\omega$, and a subgroup $H\subset G$ endowed with a two-cochain whose
coboundary is the restriction of $\omega$.
  The objects of the category are $G$-graded vector spaces with suitably
twisted $H$-actions; the associativity of tensor products is controlled by
$\omega$. Simple objects are parametrized in terms of projective
representations of finite groups, namely of the stabilizers in $H$ of right
$H$-cosets in $G$, with respect to two-cocycles defined by the initial data.
  We derive and study general formulas that express the higher Frobenius-Schur
indicators of simple objects in a group-theoretical fusion category in terms of
the group-theoretical and cohomological data defining the category and
describing its simples.
