This document outlines Fabio Giglietto's presentation on social systems and social networks at the 12th International Conference of Sociocybernetics. The presentation discusses social systems theory, semantics of social relationships, properties of networked space, the evolution of public spheres, opportunities for social science research using social media data, and case studies of Twitter and Facebook data analysis. It provides an agenda with topics on social theory, different social media platforms, opportunities to observe real social data, and examples of social media research on emergencies and network visualization.