Groups of order 105

This article gives information about, and links to more details on, groups of order 105
See pages on algebraic structures of order 105 | See pages on groups of a particular order

Note $105=3\cdot 5\cdot 7$ is the smallest integer of the form $pqr$ where $p$, $q$ and $r$ are distinct primes.

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 105, indicated in the table below:

Group	GAP ID (second part)	Abelian?
Direct product of Z5 and Frobenius group of order 21	1	No
cyclic group:Z105	2	Yes