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The body of the tables contain the characters in the respective irreducible representations for each respective symmetry operation, or set of symmetry operations. The symbol i used in the body of the table denotes the imaginary unit: i 2 = −1. Used in a column heading, it denotes the operation of inversion.
The irreducible complex characters of a finite group form a character table which encodes much useful information about the group G in a concise form. Each row is labelled by an irreducible character and the entries in the row are the values of that character on any representative of the respective conjugacy class of G (because characters are class functions).
[[Category:Character set table templates]] to the <includeonly> section at the bottom of that page. Otherwise, add <noinclude>[[Category:Character set table templates]]</noinclude> to the end of the template code, making sure it starts on the same line as the code's last character.
The character table does not in general determine the group up to isomorphism: for example, the quaternion group Q and the dihedral group of 8 elements, D 4, have the same character table. Brauer asked whether the character table, together with the knowledge of how the powers of elements of its conjugacy classes are distributed, determines a ...
Template:chset-cell4 — Character cell with character + Unicode value + decimal + octal index; Template:chset-ctrl — Control character cell with name + Unicode value; Template:chset-ctrl3 — Control character cell with name + Unicode value + decimal index; Template:chset-ctrl4 — Control character cell with name + Unicode value + decimal ...
Used with Template:chset-tableformat to indicate a printable character table cell. For example, the first four ASCII digit characters "0" through "3" ( Unicode U+0030 through U+0033, decimal 48 through 51) are coded as rows in a character set table like this:
Download as PDF; Printable version; In other projects ... provides a list of Unicode code points in the Ideographic Description Characters ... {Unicode chart ...
Name of Film / TV show(s) character appeared in (use this or Episode, but not both) Episode Name of TV episode(s) character appeared in (use this or Title, but not both). Do not list if character appeared in majority of episodes. Year Date(s) of out-universe appearances ShortSummary Description of the character. Be descriptive, but not excessive.