Abstract: We proved that the symplectic groups \mathrm{PSp}(4,2^{n}), where 2^{2n}+1 is a Fermat prime number is uniquely determined by its order, the first largest element orders and the second largest element orders.
Keywords: element order; the largest element order; prime graph; symplectic group
DOI: DOI 10.14712/1213-7243.2020.033
AMS Subject Classification: 20D06 20D60