Definition:Monster Group

Definition
A group $G$ is a Monster group and the largest sporadic simple group if and only if it has the order $808017424794512875886459904961710757005754368000000000 = 2^{46}.3^{20}.5^9.7^6.11^2.13.17.19.23.29.31.41.47.59.71$

Number of conjugacy classes is $194$. Number of its dimension is $\dim(G) = 196883$.