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⋫

does not contain as normal subgroup

Does Not Contain as Normal Subgroup

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⋫ rejects a proposed normal-subgroup relationship between two groups. It says the left group does not contain the right in that special role.

Text symbol

What ⋫ means

The right-hand group is not a normal subgroup of the left.

In G ⋫ N, the symbol rejects that relation. A subgroup is a group formed from elements of a larger group; normality adds a symmetry condition. This is a relation between groups, not ordinary element membership.

How do ⋫, , and differ?

Direction, negation, and equality all matter.

⊳ asserts that the left group contains the right as a normal subgroup; ⊵ also allows equality. ⋭ rules out both normal-subgroup containment and equality. Swap the operands and ⋫ becomes the equivalent reciprocal relation ⋪: G ⋫ N means the same as N ⋪ G.

What is the history behind this relation?

The concept has older roots than its modern name.

Group-theory accounts trace the normal-subgroup idea to Galois in 1830. Heinrich Weber’s Lehrbuch der Algebra, an algebra textbook from 1895–1896, is associated with the modern term “normal subgroup.” These dates mark the idea and the term, not the first use of ⋫ itself.

Formal group-theory notation: it belongs between group expressions, not in ordinary prose.

Don't confuse it with

2

Questions people ask

1

Why does ⋫ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type or find ⋫

Also called
nrtri · ntriangleright
Search it as
normal subgroup · normal subgroup symbol · group theory notation · subgroup relation
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 22EB, then AltX to get ⋫.
Windows
⊞Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win .).
macOS
⌃Control+⌘Command+␣SpaceOpen the character viewer and search “does not contain as normal subgroup”.
Linux
⎈Ctrl+⇧Shift+UType 22eb, then Enter or Space.
HTML
⋫
CSS
\22EB
Word for Windows
Type 22EB and press AltX (checked 2026-10-08). If the glyph is blank or boxed, choose a font that includes it.
HTML
Write ⋫ or ⋫ (including the semicolon) to produce ⋫.
Codes and encoding1 code points
HTML decimal
⋫
HTML hex
⋫
CSS content
content: "\22EB";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8B%AB
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols