By adding AI-driven group theory models to symmetric encryption systems, this study shows a new way to make them better.  We create AI programs that look at complicated group structures to make it easier to make symmetric keys, which make cryptography more secure. The method uses mathematical ideas helped by AI to improve security without slowing down the encryption and decoding processes. AI-driven changes to algorithms allow dynamic adaptability to changing threat models, which makes the encryption and key creation processes stronger. We describe in detail the system design that includes these AI-group theory parts, showing how they can be easily added to existing symmetric encryption systems.