With the discrete element method, studies of the influence of friction coefficients on the granular segregation in a 2000 particle system have been performed. Segregation phenomena reported previously such as convection cells [Phys. Rev. Lett. 70, 3728 (1993), Exp. Fluids 51:795-800 (2011)] and intermediate phase [Phys. Rev. E 85, 061302 (2012)] were discovered in our simulations. Higher friction coefficients (between particles as well as between particles and container walls) generally speed up and strengthen the segregation process. Three stages of the segregation process were discovered, i.e. the initial segregation, the subsequent sinking of the large particles, and the long-time height fluctuation of the large particles. Furthermore, by systematically analyzing the variations of the scaling parameters (phase parameter lambda and Lacey index Ma(Lacey)) with respect to different friction coefficients, we found that the initial segregation is completed by both mechanisms of particle arching and convection. In addition, both the friction drag from the container walls and the gravity forces contribute to the subsequent sinking of the large particles. Moreover, the height fluctuation of the large particles is proved to have a relation with restitution coefficients. (C) 2020 Elsevier B.V. All rights reserved.