U+22B2 "⊲" Normal Subgroup Of Unicode Character

U+22B2 "⊲" Normal Subgroup Of is a mathematical symbol used in group theory to denote that one group is a normal subgroup of another group, meaning the subgroup is invariant under conjugation by any element of the larger group. In formal notation, if H ⊲ G, then for every element h in H and every element g in G, the conjugate g h g⁻¹ is also in H. This concept is fundamental in abstract algebra, as it allows for the construction of quotient groups and is essential for understanding group homomorphisms and isomorphism theorems. The symbol visually resembles a left-pointing triangle or a "less than" sign with a vertical bar, distinguishing it from the similar symbol for a general subgroup, which lacks the vertical bar.

General Properties

Code Point	U+22B2
Version Added	1.1
Name	Normal Subgroup Of
Block	Mathematical Operators
General Category	Math Symbol
Canonical Combining Class	Not Reordered
Bidirectional Class	Other Neutral
Mirrored	Yes
Mirrored Character	"⊳" U+22B3 Contains as Normal Subgroup

Encodings

HTML Decimal Encoding	⊲
HTML Hex Encoding	⊲
UTF-8 Encoding	0xE2 0x8A 0xB2
UTF-16 Encoding	0x22B2
UTF-32 Encoding	0x000022B2
C/C++/Java Escape	\u22b2

Unicode Properties

NFC Quick Check	Yes
NFD Quick Check	Yes
NFKC Quick Check	Yes
NFKD Quick Check	Yes
Numeric Type	None
Numeric Value	NaN
Line Break	Alphabetic
Script	Common
Script Extensions	Common
Indic Syllabic Category	Other
Pattern Syntax	Yes
Math	Yes
Vertical Orientation	Rotated
Grapheme Base	Yes
Grapheme Cluster Break	Other
Word Break	Other
Sentence Break	Other