Industrial companies face the challenge of a rapidly changing environment and struggle to keep up with the pace needed to be competitive. Organizational deficiencies are often reasons for failure. The Viable System Model (VSM) supports organizational diagnosis and design to ensure viability and avoid deficiencies. The objective of this paper is to further support the application of the VSM in industry. Therefore, we conducted a literature review and analyzed twenty-five VSM case studies in order to derive a common application pattern. The results showed that the main assessment criterion was the existence of all VSM subsystems. However, interrelations within the VSM subsystems are often ignored. This paper presents an extended framework for applying the VSM, emphasizing subsystem relations when diagnosing as well as designing organizational systems. The extension is provided in the form of four Domain-Structure-Matrices, which reveal necessary interrelations and connections for a should-be organizational design.