We calculate the Schur index of the \({\cal N}=4\) \(U(N)\) SYM with finite \(N\) via the AdS/CFT correspondence as the contribution of D3-branes wrapped on contractible cycles in \(\boldsymbol{S}^5\) on some assumptions motivated by preliminary analyses. As far as we have checked numerically it agrees with the index calculated on the gauge theory side. In a certain limit it reproduces the analytic result given by Bourdier, Drukker, and Felix.