Groups of order 10
This article gives information about, and links to more details on, groups of order 10
See pages on algebraic structures of order 10 | See pages on groups of a particular order
There are, up to isomorphism, two groups of order 10, indicated in the table below:
| Group | GAP ID (second part) | Abelian? |
|---|---|---|
| dihedral group:D10 | 1 | No |
| cyclic group:Z10 | 2 | Yes |
That these are the only two possibilities can be shown via the classification of groups of an order two times a prime, or more generally the classification of groups of order a product of two distinct primes. Since and , the number falls in the two isomorphism classes case in that classification.
