Mathieu group
= Mathieu group
{c}
{title2=$M_{11},M_{12},M_{22},M_{23},M_{24}$}
{wiki}
The natural actions of these five sporadic simple groups have degrees 11, 12, 22, 23 and 24, and respective transitivity degrees 4, 5, 3, 4 and 5. They arise from exceptional finite designs and codes.