Organization
Of the 26 sporadic groups, 20 can be seen inside the Monster group as subgroups or quotients of subgroups (sections). The six exceptions are J1, J3, J4, O'N, Ru and Ly. These six groups are sometimes known as the pariahs.
The remaining twenty groups have been called the Happy Family by Robert Griess, and can be organized into three generations.
Read more about this topic: Sporadic Group
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