  A Hopf Galois structure on a finite field extension L/K is given by a finite
cocommutative K-Hopf algebra and a Hopf action. In this paper we present an
algorithm written in the computational algebra system Magma which gives all
Hopf Galois structures on separable field extensions of a given degree and
several properties of those. We describe the results obtained for extensions of
degree up to 11. Besides, we prove that separable extensions of degree equal to
the square of an odd prime have at most one type of Hopf Galois structures.
