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  "body": "\n## Summary\n\nA sporadic group is a finite simple group that belongs to none of the infinite families of the classification.\nThese families are the cyclic groups of prime order, the alternating groups, and the groups of Lie type.\nBy the classification of finite simple groups there are exactly $26$ of them.\nThe smallest is the Mathieu group $M_{11}$, of order $7920$, and the largest is the Monster group.\n\n## Explanations\n\n### L1 human\n\nAlmost all finite simple groups come in infinite families with a regular pattern.\nThe sporadic groups are the $26$ exceptions that fit no pattern.\nThey include the five Mathieu groups, symmetry groups of special codes and designs, the Conway groups, symmetry groups of the Leech lattice, and the Monster.\nTwenty of them live inside the Monster as quotients of its subgroups, and the other six are called the pariahs.\n",
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