  Support $\tau$-tilting modules correspond to some classes of categorical
objects bijectively, such as two-term tilting complexes for any finite
dimensional symmetric algebra.
  This fact motivates us to classify support $\tau$-tilting modules over blocks
of finite groups. Therefore we classify support $\tau$-tilting modules over
particular blocks of finite groups by using the modular representation
theoretical approaches including Clifford theory, Green's indecomposability
theorem and so on.
