Groups of order 110

Statistics at a glance

The number 110 has the prime factorization:

$110=2\cdot 5\cdot 11$

Quantity	Value	Explanation
Total number of groups up to isomorphism	6
Number of abelian groups (i.e., finite abelian groups) up to isomorphism	1	(number of abelian groups of order $2^1$) times (number of abelian groups of order $5^1$) times (number of abelian groups of order $11^1$) = (number of unordered integer partitions of 1) times (number of unordered integer partitions of 1) times (number of unordered integer partitions of 1) = $1\times 1\times 1=1$. See classification of finite abelian groups and structure theorem for finitely generated abelian groups.