👉 In mathematics, a sporadic finite group is a finite group that has no non-trivial normal subgroups. These groups are often used in the study of p-adic analysis and have applications in number theory, especially in studying the distribution of prime numbers. Sporadic finite groups can be defined as the quotient of a group by a cyclic subgroup generated by an element which is not a generator of the group or has order 1. For example, the alternating group A4 (the group of
