HTML Entity for Left Semidirect Product (⋋)

Beginner
⏱️ 5 min read
📚 Updated: Jun 2026
🎯 1 Code Example
Unicode U+22CB

What You'll Learn

How to display the Left Semidirect Product (⋋) in HTML using the named entity, hexadecimal, decimal, and CSS escape methods. This symbol is U+22CB (LEFT SEMIDIRECT PRODUCT) in the Mathematical Operators block (U+2200–U+22FF)—used in group theory and abstract algebra to denote the left semidirect product of groups.

Render it with ⋋ (named), ⋋, ⋋, or CSS \22CB. Do not confuse ⋋ with U+22CC (⋌, right semidirect product / ⋌) or U+22C9 (⋉, left normal factor semidirect product / ⋖).

⚡ Quick Reference — Left Semidirect Product

Unicode U+22CB

Mathematical Operators

Hex Code ⋋

Hexadecimal reference

HTML Code ⋋

Decimal reference

Named Entity ⋋

Most readable option

Reference Table
Name           Value
────────────   ──────────
Unicode        U+22CB
Hex code       ⋋
HTML code      ⋋
Named entity   ⋋
CSS code       \22CB
Meaning        Left semidirect product
Related        U+22CC = right semidirect product (⋌)
               U+22C9 = left normal factor (⋉)
1

Complete HTML Example

A simple example showing the Left Semidirect Product (⋋) using the named entity, hexadecimal code, decimal HTML code, and a CSS content escape:

html
<!DOCTYPE html>
<html>
<head>
 <style>
  #point:after{
   content: "\22CB";
  }
 </style>
</head>
<body>
<p>Symbol (hex): &#x22cb;</p>
<p>Symbol (decimal): &#8907;</p>
<p>Symbol (named): &lthree;</p>
<p id="point">Symbol (CSS): </p>
</body>
</html>
Try it Yourself

🌐 Browser Support

The Left Semidirect Product (⋋) is universally supported in all modern browsers when the font includes Mathematical Operators glyphs:

Chrome 1+
Firefox 1+
Safari 1+
Edge 12+
Opera 4+
Android 4.4+
iOS Safari 1+

👀 Live Preview

See the Left Semidirect Product (⋋) rendered live in different contexts:

Inline text N ⋋ H denotes the left semidirect product of groups.
Large glyph
Group theory G = N ⋋ H (N normal in G)
Definition N ⋋ H = N ⋃ H
Symbol comparison ⋋ ⋌ ⋉
Numeric refs &lthree; &#x22CB; &#8907; \22CB

🧠 How It Works

1

Hexadecimal Code

&#x22CB; uses the Unicode hexadecimal value 22CB for the left semidirect product. The x prefix indicates hexadecimal format.

HTML markup
2

Decimal HTML Code

&#8907; uses the decimal Unicode value 8907 to display the same character.

HTML markup
3

Named Entity

&lthree; is the semantic named entity — the easiest to read in source HTML and the most self-descriptive option.

HTML markup
4

CSS Entity

\22CB is used in CSS stylesheets in the content property of pseudo-elements like ::after.

CSS stylesheet
=

Same visual result

All four methods produce . Unicode U+22CB is in the Mathematical Operators block. Previous: Left Right Wave Arrow.

Use Cases

The Left Semidirect Product (⋋) is commonly used in:

∑ Group Theory

Denote the left semidirect product of two groups (e.g. N ⋋ H).

◈ Abstract Algebra

Express semidirect product constructions in algebraic notation.

📚 Academic Papers

Typeset group-theoretic proofs and definitions in HTML or web-based math content.

📚 Math Education

Display correct notation in online courses and interactive math content.

📄 Technical Documentation

Document algebraic or categorical structures that use semidirect products.

💻 Math Editors

Support in web-based equation editors and math display systems.

💡 Best Practices

Do

  • Use &lthree; for readable source markup
  • Add aria-label or surrounding text for accessibility
  • Verify your font supports Mathematical Operators (U+22CB)
  • Keep one entity style per project for consistency
  • Distinguish left (⋋) from right (⋌) semidirect product in context

Don’t

  • Confuse ⋋ (left) with ⋌ (right semidirect product)
  • Use CSS \22CB inside HTML text nodes
  • Assume all fonts render math operators identically
  • Mix entity styles randomly in one file
  • Use the symbol without explaining its left semidirect product meaning on first use

Key Takeaways

1

Three HTML references plus CSS all render ⋋

&#x22CB; &#8907; &lthree;
2

For CSS, use \22CB in the content property

3

Unicode U+22CB — LEFT SEMIDIRECT PRODUCT

4

Prefer &lthree; for readability—it’s the named HTML entity

❓ Frequently Asked Questions

Use &#x22CB; (hex), &#8907; (decimal), &lthree; (named), or \22CB in CSS content. All four methods render ⋋ correctly.
U+22CB (LEFT SEMIDIRECT PRODUCT). Mathematical Operators block (U+2200–U+22FF). Hex 22CB, decimal 8907.
In group theory, abstract algebra, mathematical papers, and technical documentation to denote the left semidirect product of groups or algebraic structures.
HTML references (&#8907;, &#x22CB;, or &lthree;) go in markup. The CSS escape \22CB is used in stylesheets, typically on ::before or ::after. Both produce ⋋.
Yes. &lthree; is the named HTML entity for U+22CB. You can also use &#8907; (decimal) or &#x22CB; (hex) and \22CB in CSS.

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About the author

Mari Selvan M P
Mari Selvan M P 🔗

Developer, cloud engineer, and technical writer

  • Experience 12 years building web and cloud systems
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I write practical tutorials so students and working developers can learn by doing—from databases and APIs to deployment on AWS.

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