Groups of order 2025
This article gives information about, and links to more details on, groups of order 2025
See pages on algebraic structures of order 2025 | See pages on groups of a particular order
The prime factorization of 2025 is .
There are only two prime factors of this number. Order has only two prime factors implies solvable (by Burnside's -theorem) and hence all groups of this order are solvable groups (specifically, finite solvable groups). Another way of putting this is that the order is a solvability-forcing number. In particular, there is no simple non-abelian group of this order.
Statistics at a glance
| Quantity | Value |
|---|---|
| Total number of groups | 63 |
| Number of abelian groups | 10 |
| Number of nilpotent groups | 30 |
| Number of solvable groups | 63 |
| Number of simple groups | 0 |