Counting three-point G-covers with a given special G-deformation datum

We correct an erroneous description of an automorphism group from 'Three point covers with bad reduction' by Wewers. The cardinality of the automorphism group is used in a counting formula for the number of three-point covers in characteristic zero with the same fibre in characteristic p. We consider the consequences for the counting formula resulting from the new description of the automorphism group, and also consider two families of examples in order to illustrate how the counting formula is related to the action of the inertia group at p on three-point covers of order strictly divisible by p.