Authors: Akihiko Hida, Nobuaki Yagita Title: Representations of the double Burnside algebra and cohomology of the extraspecial p-group II Abstract: Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We consider the mod p cohomology of summands in the stable splitting of p-completed classifying space BE. Moreover, we consider the stable splitting for some finite groups with Sylow p-subgroup E.