Groups of order 62

This article gives information about, and links to more details on, groups of order 62
See pages on algebraic structures of order 62 | See pages on groups of a particular order

There are, up to isomorphism, two groups of order 62, indicated in the table below:

Group	GAP ID (second part)	Abelian?
dihedral group:D62	1	No
cyclic group:Z62	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 $62=31\cdot 2$ and $2\mid (31-1)$, the number $62$ falls in the two isomorphism classes case in that classification.