List of finite simple groups

The list of finite simple groups is a comprehensive classification of finite groups that cannot be decomposed into simpler groups. A finite simple group is defined as a nontrivial group whose only normal subgroups are the trivial subgroup and the group itself. Finite simple groups can be categorized into several families: 1. **Cyclic Groups of Prime Order**: These are groups of the form \( \mathbb{Z}/p\mathbb{Z} \) for a prime \( p \).