Groups of order 9
This article gives information about, and links to more details on, groups of order 9
See pages on algebraic structures of order 9| See pages on groups of a particular order
The classification follows from the classification of groups of prime-square order.
See also groups of prime-square order for side-by-side comparison with the situation for other primes.
The groups are:
|Group||GAP ID (second part)||Defining feature|
|cyclic group:Z9||1||unique cyclic group of order 9|
|elementary abelian group:E9||2||unique elementary abelian group of order 9; also a direct product of two copies of cyclic group:Z3.|