Defect groups, trivial intersections and character tables

Let G be a 2 - ́closed finite group with a Sylow 2-subgroup of a maximal class. It is shown that G is 2-closed (a TI-group) if and only if it has 2-blocks of full defect only (of full or zero defect only). Using these results, it is shown that the TI-property (distinct Sylow 2-subgroups intersect trivially) is determined by the character table of a finite group.