This paper discusses the giant graviton expansions for the Schur index of $\mathcal{N} = 4$ $U(N)$ SYM with the insertion of Wilson lines of fundamental and anti-fundamental representations. The authors propose a double-sum giant graviton expansion and numerically confirm its correctness in reproducing the line-operator index. They also find that this expansion reduces to a simple-sum expansion when the index is treated as a Taylor series with respect to a specific fugacity. The leading corrections to the finite $N$ index are analyzed, and the mechanism generating the negative leading correction is discussed. The paper further explores the contributions from worldsheet fluctuations and multiple-wrapping configurations, leading to a detailed proposal for the giant graviton expansion of the line-operator index. Additionally, it is shown that the double-sum expansion can be reduced to a simple-sum expansion under certain conditions. The paper concludes with discussions on the generalization to other representations and the potential for further exploration in related theories.This paper discusses the giant graviton expansions for the Schur index of $\mathcal{N} = 4$ $U(N)$ SYM with the insertion of Wilson lines of fundamental and anti-fundamental representations. The authors propose a double-sum giant graviton expansion and numerically confirm its correctness in reproducing the line-operator index. They also find that this expansion reduces to a simple-sum expansion when the index is treated as a Taylor series with respect to a specific fugacity. The leading corrections to the finite $N$ index are analyzed, and the mechanism generating the negative leading correction is discussed. The paper further explores the contributions from worldsheet fluctuations and multiple-wrapping configurations, leading to a detailed proposal for the giant graviton expansion of the line-operator index. Additionally, it is shown that the double-sum expansion can be reduced to a simple-sum expansion under certain conditions. The paper concludes with discussions on the generalization to other representations and the potential for further exploration in related theories.