Groups of order 172

This article gives information about, and links to more details on, groups of order 172
See pages on algebraic structures of order 172 | See pages on groups of a particular order

There are, up to isomorphism, four possibilities for a group of order 172.

The classification follows from the classification of groups of order four times a prime congruent to 3 modulo 4, since $172=4\cdot 43,43\equiv 3\mod 4$.

The groups are:

Group	GAP ID (second part)	Abelian?
Dicyclic group:Dic172	1	No
cyclic group:Z172	2	Yes
dihedral group:D172	3	No
direct product of Z2 and Z86	4	Yes