This paper deals with the order statistics from the normal distribution. Equations are obtained for the percentage points and the modal values of the $k$th order statistic in a sample of size $n$. Table I gives some percentage points for selected values of $k$ and $n$. In Table II the modal values of the largest order statistic are given. Appropriate symmetry relations which enable one to obtain certain missing values in Tables I and II are mentioned.
"Percentage Points and Modes of Order Statistics from the Normal Distribution." Ann. Math. Statist. 32 (3) 888 - 893, September, 1961. https://doi.org/10.1214/aoms/1177704982