Affine-metric quantum gravity with extra local symmetries

We discuss the role of additional local symmetries related to the transformations of connection fields in the affine-metric theory of gravity. The corresponding BRST transformations connected with all symmetries (general coordinate, local Lorentz and extra) are constructed. It is shown that extra symmetries give an additional contribution to the effective action which is proportional to that from the corresponding Nielsen - Kallosh ghost. Some arguments are given that show there is no anomaly associated with extra local symmetries.