On a number of some categories of the limiting groups of multidimensional plane crystallographic point groups of symmetry

Many categories of multidimensional crystallographic plane point groups of symmetry are established with the aid of two-and three-dimensional point groups of symmetry and the groups of simple and multiple antisymmetry generated by these point groups and the groups of rosette, tablet, hypertablet, crystallographic, and hypercrystallographic P symmetries. The numerical characteristics of all the categories of such groups are given and, for each of these groups, the numbers of the limiting groups of multidimensional symmetry (whose subgroups they are) are determined for each category based on the limiting symmetry groups of the classical point groups and the generalizing groups of l-tuple antisymmetry and the indicated particular cases of the P symmetry.