We consider the structure of the point-line incidence matrix of the projective space \(\mathrm {PG}(3,q)\) connected with orbits of points and lines under the stabilizer group of the twisted cubic. Structures of submatrices with incidences between a union of line orbits and an orbit of points are investigated. For the unions consisting of two or three line orbits, the original submatrices are split into new ones, in which the incidences are also considered. For each submatrix (apart from the ones corresponding to a special type of lines), the numbers of lines through every point and of points lying on every line are obtained. This corresponds to the numbers of ones in columns and rows of the submatrices.

我们考虑与扭曲立方体稳定器群下的点和线的轨道相连的射影空间\(\mathrm {PG}(3,q)\)的点线入射矩阵的结构。研究了在直线轨道的并集和点的轨道之间具有关联的子矩阵的结构。对于由两个或三个线轨道组成的并集，将原始子矩阵拆分为新子矩阵，其中还考虑了发生率。对于每个子矩阵（除了对应于特殊类型线的子矩阵），获得通过每个点的线数和位于每条线上的点数。这对应于子矩阵的列和行中的 1 的数量。