  A point on a plane curve is said to be Galois (for the curve) if the
projection from the point as a map from the curve to a line induces a Galois
extension of function fields. It is known that the number of Galois points is
finite except for a certain explicit example. We establish upper bounds for the
number of Galois points for all plane curves other than the example in terms of
the genus, degree and the generic order of contact, and settle curves attaining
the bounds.
