Groups of order 92

This article gives information about, and links to more details on, groups of order 92
See pages on algebraic structures of order 92 | See pages on groups of a particular order

There are, up to isomorphism, four possibilities for a group of order 92.

The classification follows from the classification of groups of order four times a prime congruent to 3 modulo 4, since $92=4\cdot 23,23\equiv 3\mod 4$.

The groups are:

Group	GAP ID (second part)	Abelian?	Defining feature
Dicyclic group:Dic92	1	No	Semidirect product $\mathbb {Z} _{23}\rtimes \mathbb {Z} _{4}$
cyclic group:Z92	2	Yes
dihedral group:D92	3	No
direct product of Z2 and Z46	4	Yes