The Monster Group is a complex mathematical structure in the field of group theory, which is a branch of abstract algebra. It is the largest of the sporadic simple groups, consisting of 8080174247945124371736562002664 elements. Discovered in the 1970s, it plays a significant role in various areas of mathematics, including geometry and number theory. The Monster Group is often associated with the Moonshine Conjecture, which connects it to modular functions and string theory. This conjecture suggests a surprising relationship between the algebraic properties of the group and certain number-theoretic functions, leading to deeper insights in both mathematics and theoretical physics.