Definition:Monster Group

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Definition

A group $G$ is a Monster group and the largest sporadic simple group if and only if it has the order:

$808017424794512875886459904961710757005754368000000000 = 2^{46}.3^{20}.5^9.7^6.11^2.13.17.19.23.29.31.41.47.59.71$

Source

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