Definition:Monster Group

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

Also see

 * Number of Conjugacy Classes of Monster Group: it has $194$ conjugacy classes


 * Dimension of Monster Group: its dimension is $\map \dim G = 196 \, 883$

Source



 * http://groupprops.subwiki.org/wiki/Monster_group