\rightthreetimes
The \rightthreetimes symbol is used to denote a semidirect product in group theory, which is a way to construct a new group from two subgroups, one of which acts on the other.
Denotes the semidirect product of groups G and H.
G \rightthreetimes H
Represents a semidirect product where H acts on N via the homomorphism \varphi.
N \rightthreetimes_\varphi H
An example of a semidirect product between the integers and the cyclic group of order 2.
\mathbb{Z} \rightthreetimes \mathbb{Z}_2