Hamideh Rashidi - Department of Mathematics , Faculty of Science, University of Jiroft, Jiroft, Iran
Laleh Oftadeh - Department of Mathematics, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran

Denote by \widehat{p_n}, the largest prime among the primitive prime divisors of ۲^{۲n+۱}-۱ and ۲^{۲(۴n+۲)}-۱ , where n\in {\Bbb N}. In this paper, we prove that if q=۲^{۲n+۱}\geq۸ and \alpha \leq \widehat{p_n}, then the direct product of \alpha copies of {\rm Sz}(q) is uniquely determined by its complex group algebra.

character degree, order, Suzuki groups, complex group algebra