Groups of order 111

From Groupprops

This article gives information about, and links to more details on, groups of order 111
See pages on algebraic structures of order 111 | See pages on groups of a particular order

Statistics at a glance

Quantity Value Explanation
Total number of groups 2
Number of abelian groups 1

The groups

There are, up to isomorphism, two groups of order 111, indicated in the table below:

Group GAP ID (second part) Abelian?
semidirect product of Z37 and Z3 1 No
cyclic group:Z111 2 Yes

This is classified by the classification of groups of order a product of two distinct primes in the case with two isomorphism classes since , with .