The last three prime numbers in the factorization of the order of the Fischer Griess friendly monster group are 47, 59, 71. (https://en.wikipedia.org/wiki/Monster_group) On the other hand, the monster group can be contrcuted from the automorphism group of the Griess algebra which has 196884-dimensions. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space (https://en.wikipedia.org/wiki/Griess_algebra). The factorization of 196883 is 47*59*71. Is this concidence or can it be understood from the construction of the group?