CONTAINS AS NORMAL SUBGROUP OR EQUAL TO·U+22B5

Character Information

Code Point
U+22B5
HEX
22B5
Unicode Plane
Basic Multilingual Plane
Category
Math Symbol

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 8A B5
11100010 10001010 10110101
UTF16 (big Endian)
22 B5
00100010 10110101
UTF16 (little Endian)
B5 22
10110101 00100010
UTF32 (big Endian)
00 00 22 B5
00000000 00000000 00100010 10110101
UTF32 (little Endian)
B5 22 00 00
10110101 00100010 00000000 00000000
HTML Entity
⊵
URI Encoded
%E2%8A%B5

Description

U+22B5, or the CONTAINS AS NORMAL SUBGROUP OR EQUAL TO symbol, is a mathematical symbol used predominantly in digital text. It is found within the Unicode character set, which serves as a universal system for representing text and symbols across various platforms and languages. This particular symbol is employed primarily in mathematical expressions, particularly within set theory and group theory. In these contexts, U+22B5 denotes that an element belongs to a specific subset or subgroup, and it also implies equality. For instance, if a statement reads "A ⊆ B," where A is a set and B is a superset of A, then replacing the symbol for subset inclusion (⊆) with U+22B5 would read "A contains as normal subgroup or equal to B." This use emphasizes the idea that the element of the set adheres to the rules and conditions of the specified group. Although not specifically tied to any cultural, linguistic, or technical context, U+22B5 remains a valuable tool in mathematical notation due to its concise representation and clear meaning. As such, it is essential for accurate communication among mathematicians, computer scientists, and other professionals who frequently work with these concepts.

How to type the symbol on Windows

Hold Alt and type 8885 on the numpad. Or use Character Map.

  1. Step 1: Determine the UTF-8 encoding bit layout

    The character has the Unicode code point U+22B5. In UTF-8, it is encoded using 3 bytes because its codepoint is in the range of 0x0800 to 0xffff.

    Therefore we know that the UTF-8 encoding will be done over 16 bits within the final 24 bits and that it will have the format: 1110xxxx 10xxxxxx 10xxxxxx
    Where the x are the payload bits.

    UTF-8 Encoding bit layout by codepoint range
    Codepoint RangeBytesBit patternPayload length
    U+0000 - U+007F10xxxxxxx7 bits
    U+0080 - U+07FF2110xxxxx 10xxxxxx11 bits
    U+0800 - U+FFFF31110xxxx 10xxxxxx 10xxxxxx16 bits
    U+10000 - U+10FFFF411110xxx 10xxxxxx 10xxxxxx 10xxxxxx21 bits
  2. Step 2: Obtain the payload bits:

    Convert the hexadecimal code point U+22B5 to binary: 00100010 10110101. Those are the payload bits.

  3. Step 3: Fill in the bits to match the bit pattern:

    Obtain the final bytes by arranging the paylod bits to match the bit layout:
    11100010 10001010 10110101