U+22CA "⋊" Right Normal Factor Semidirect Product Unicode Character

U+22CA "⋊" Right Normal Factor Semidirect Product is a mathematical symbol used primarily in group theory to denote a specific semidirect product structure, where the normal subgroup is placed on the right side of the operation. In contrast to the left normal factor symbol (U+22C9), this represents a decomposition of a group ( G ) into a semidirect product ( N times H ), indicating that ( N ) is the normal subgroup and ( H ) acts on ( N ). This notation helps mathematicians concisely express how a group can be built from a normal subgroup and a complementary subgroup, with the arrow direction pointing toward the normal factor. It is commonly employed in algebra and abstract mathematics to clarify the ordered roles of subgroups in group constructions.