U+22C9 "⋉" Left Normal Factor Semidirect Product Unicode Character
Unicode Version 17.0
⋉
U+22C9 "⋉" Left Normal Factor Semidirect Product is a mathematical symbol used primarily in group theory to denote a semidirect product, specifically indicating that the left-hand factor is a normal subgroup of the resulting product. In a semidirect product, the symbol is placed between two groups, such as N ⋉ H, where N is normal, and the operation combines the groups in a way that the action of H on N is explicitly defined, distinguishing it from a direct product. This notation is common in algebra and abstract mathematics, where it helps concisely represent complex group structures and their decomposition.
General Properties
| Code Point | U+22C9 |
| Version Added | 1.1 |
| Name | Left Normal Factor Semidirect Product |
| Block | Mathematical Operators |
| General Category | Math Symbol |
| Canonical Combining Class | Not Reordered |
| Bidirectional Class | Other Neutral |
| Mirrored | Yes |
| Mirrored Character | "⋊" U+22CA Right Normal Factor Semidirect Product |
Encodings
| HTML Decimal Encoding | ⋉ |
| HTML Hex Encoding | ⋉ |
| UTF-8 Encoding | 0xE2 0x8B 0x89 |
| UTF-16 Encoding | 0x22C9 |
| UTF-32 Encoding | 0x000022C9 |
| C/C++/Java Escape | \u22c9 |
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 |