The Equation Group, an advanced persistent threat identified by Kaspersky's Research Lab in 2015, was detected during the investigation of the Regin malware. Attributed to the United States National Security Agency, the Equation Group's techniques are more advanced than previously discovered threats. Despite being identified in 2015, detailed studies of their tactics, techniques, and procedures have been limited. This research examines the artifacts left by the group, revealing their advanced methodologies and analyzing the defensive mechanisms embedded within these artifacts designed to avoid detection by security systems. Additionally, solutions are proposed at various levels of the digital systems stack to counter the group's sophisticated attack strategies effectively.