Questions tagged [groups-enumeration]

Number and enumeration of all finite groups of a given order

The problem of enumerating all finite groups of a given order $n$ means determining complete and non-redundant list of all groups of order $n$, where non-redundancy means that groups from the list are non-isomorphic pairwise.

This tag covers questions about the number of groups of a given order (denoted by $gnu(n)$) and classification of all groups of a given order for various values of $n$. It also includes questions about lower and upper bounds for $gnu(n)$, its asymptotic behaviour, and related questions under certain restrictions on the group.

93 questions