Classification of planar quadratic differential systems with center of symmetry and multiple infinite singular point

We classify the family of planar quadratic differential systems with a center of symmetry and two invariant straight lines according to the topology of their phase portraits. The case of the existence of at most two distinct infinite singular points is considered. For each of the classes obtained we give necessary and sufficient conditions in terms of algebraic invariants and comitants. A program was implemented for computer calculations.