Pariah groups

Summary

The pariah groups are the six sporadic simple groups that are not subquotients of the Monster group. They are the Janko groups $J_1$, $J_3$ and $J_4$, the O'Nan group, the Rudvalis group and the Lyons group. The other twenty sporadic groups, which are subquotients of the Monster, form the happy family; the name pariah is due to Robert Griess.