RIGHT SEMIDIRECT PRODUCT·U+22CC

Character Information

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

Character Representations

Click elements to copy
EncodingHexBinary
UTF8
E2 8B 8C
11100010 10001011 10001100
UTF16 (big Endian)
22 CC
00100010 11001100
UTF16 (little Endian)
CC 22
11001100 00100010
UTF32 (big Endian)
00 00 22 CC
00000000 00000000 00100010 11001100
UTF32 (little Endian)
CC 22 00 00
11001100 00100010 00000000 00000000
HTML Entity
⋌
URI Encoded
%E2%8B%8C

Description

The Unicode character U+22CC, also known as the Right Semidirect Product symbol, plays a significant role in digital text, particularly in mathematics and computer science. It represents the right semidirect product of two groups, which is an operation that combines the concepts of direct product and semidirect product. This character is crucial for accurately conveying mathematical expressions and proofs, as well as for communicating complex ideas in group theory, a branch of abstract algebra. Although U+22CC might not be widely recognized by the general public, it holds immense value within the specialized communities that rely on accurate typographical representation to advance scientific understanding and knowledge.

How to type the symbol on Windows

Hold Alt and type 8908 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+22CC. 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+22CC to binary: 00100010 11001100. 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 10001011 10001100