File:Full octahedral group; pairs matrix.svg
Original file (SVG file, nominally 292 × 363 pixels, file size: 177 KB)
Captions
Summary
[edit]DescriptionFull octahedral group; pairs matrix.svg |
The 48 elements of the full octahedral group in their S4 based representation, The rows correspond to vertices of a cube, and the columns to the first six finite permutations. This can be seen as a submatrix of the full octahedral group's Cayley table (but one that would not simply be the doubling of the Cayley table of S4).
|
||||||
Date | |||||||
Source | Own work | ||||||
Author |
|
||||||
SVG development InfoField | This vector image was created with Inkscape. |
Licensing
[edit]- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 22:38, 24 April 2017 | 292 × 363 (177 KB) | Watchduck (talk | contribs) | correction and change of notation (left action now) | |
14:59, 24 July 2016 | 340 × 269 (163 KB) | Watchduck (talk | contribs) | {{Information |Description ={{en|1=Pairs representation characteristic of the hyperoctahedral group to S<sub>4</sub> based representation unique to the [[w:Octahedral symmetry|full octahedral grou... |
You cannot overwrite this file.
File usage on Commons
More than 100 pages use this file. The following list shows the first 100 pages that use this file only. A full list is available.
- File:Cube permutation 0 0.svg
- File:Cube permutation 0 1.svg
- File:Cube permutation 7 5.svg
- File:Subgroup of Oh; A4; matrix.svg
- File:Subgroup of Oh; A4xC2; matrix.svg
- File:Subgroup of Oh; C2^3 green 07; matrix.svg
- File:Subgroup of Oh; C2^3 green 16; matrix.svg
- File:Subgroup of Oh; C2^3 green 23; matrix.svg
- File:Subgroup of Oh; C2^3 white; matrix.svg
- File:Subgroup of Oh; C2 blue 01; matrix.svg
- File:Subgroup of Oh; C2 blue 02; matrix.svg
- File:Subgroup of Oh; C2 blue 05; matrix.svg
- File:Subgroup of Oh; C2 blue 06; matrix.svg
- File:Subgroup of Oh; C2 blue 14; matrix.svg
- File:Subgroup of Oh; C2 blue 21; matrix.svg
- File:Subgroup of Oh; C2 green 01; matrix.svg
- File:Subgroup of Oh; C2 green 02; matrix.svg
- File:Subgroup of Oh; C2 green 05; matrix.svg
- File:Subgroup of Oh; C2 green 06; matrix.svg
- File:Subgroup of Oh; C2 green 14; matrix.svg
- File:Subgroup of Oh; C2 green 21; matrix.svg
- File:Subgroup of Oh; C2 inv; matrix.svg
- File:Subgroup of Oh; C2 white 07; matrix.svg
- File:Subgroup of Oh; C2 white 16; matrix.svg
- File:Subgroup of Oh; C2 white 23; matrix.svg
- File:Subgroup of Oh; C2 yellow 07; matrix.svg
- File:Subgroup of Oh; C2 yellow 16; matrix.svg
- File:Subgroup of Oh; C2 yellow 23; matrix.svg
- File:Subgroup of Oh; C3 03; matrix.svg
- File:Subgroup of Oh; C3 08; matrix.svg
- File:Subgroup of Oh; C3 11; matrix.svg
- File:Subgroup of Oh; C3 15; matrix.svg
- File:Subgroup of Oh; C4 orange 07; matrix.svg
- File:Subgroup of Oh; C4 orange 16; matrix.svg
- File:Subgroup of Oh; C4 orange 23; matrix.svg
- File:Subgroup of Oh; C4 red 07; matrix.svg
- File:Subgroup of Oh; C4 red 16; matrix.svg
- File:Subgroup of Oh; C4 red 23; matrix.svg
- File:Subgroup of Oh; C4xC2 07; matrix.svg
- File:Subgroup of Oh; C4xC2 16; matrix.svg
- File:Subgroup of Oh; C4xC2 23; matrix.svg
- File:Subgroup of Oh; C6 03; matrix.svg
- File:Subgroup of Oh; C6 08; matrix.svg
- File:Subgroup of Oh; C6 11; matrix.svg
- File:Subgroup of Oh; C6 15; matrix.svg
- File:Subgroup of Oh; Dih4 blue orange 07; matrix.svg
- File:Subgroup of Oh; Dih4 blue orange 16; matrix.svg
- File:Subgroup of Oh; Dih4 blue orange 23; matrix.svg
- File:Subgroup of Oh; Dih4 blue red 07; matrix.svg
- File:Subgroup of Oh; Dih4 blue red 16; matrix.svg
- File:Subgroup of Oh; Dih4 blue red 23; matrix.svg
- File:Subgroup of Oh; Dih4 green orange 07; matrix.svg
- File:Subgroup of Oh; Dih4 green orange 16; matrix.svg
- File:Subgroup of Oh; Dih4 green orange 23; matrix.svg
- File:Subgroup of Oh; Dih4 green red 07; matrix.svg
- File:Subgroup of Oh; Dih4 green red 16; matrix.svg
- File:Subgroup of Oh; Dih4 green red 23; matrix.svg
- File:Subgroup of Oh; Dih4xC2 07; matrix.svg
- File:Subgroup of Oh; Dih4xC2 16; matrix.svg
- File:Subgroup of Oh; Dih4xC2 23; matrix.svg
- File:Subgroup of Oh; Dih6 03; matrix.svg
- File:Subgroup of Oh; Dih6 08; matrix.svg
- File:Subgroup of Oh; Dih6 11; matrix.svg
- File:Subgroup of Oh; Dih6 15; matrix.svg
- File:Subgroup of Oh; S3 blue 03; matrix.svg
- File:Subgroup of Oh; S3 blue 08; matrix.svg
- File:Subgroup of Oh; S3 blue 11; matrix.svg
- File:Subgroup of Oh; S3 blue 15; matrix.svg
- File:Subgroup of Oh; S3 green 03; matrix.svg
- File:Subgroup of Oh; S3 green 08; matrix.svg
- File:Subgroup of Oh; S3 green 11; matrix.svg
- File:Subgroup of Oh; S3 green 15; matrix.svg
- File:Subgroup of Oh; S4 blue red; matrix.svg
- File:Subgroup of Oh; S4 green orange; matrix.svg
- File:Subgroup of Oh; V blue white 07; matrix.svg
- File:Subgroup of Oh; V blue white 16; matrix.svg
- File:Subgroup of Oh; V blue white 23; matrix.svg
- File:Subgroup of Oh; V gby 01; matrix.svg
- File:Subgroup of Oh; V gby 02; matrix.svg
- File:Subgroup of Oh; V gby 05; matrix.svg
- File:Subgroup of Oh; V gby 06; matrix.svg
- File:Subgroup of Oh; V gby 14; matrix.svg
- File:Subgroup of Oh; V gby 21; matrix.svg
- File:Subgroup of Oh; V green white 07; matrix.svg
- File:Subgroup of Oh; V green white 16; matrix.svg
- File:Subgroup of Oh; V green white 23; matrix.svg
- File:Subgroup of Oh; V inv green 01; matrix.svg
- File:Subgroup of Oh; V inv green 02; matrix.svg
- File:Subgroup of Oh; V inv green 05; matrix.svg
- File:Subgroup of Oh; V inv green 06; matrix.svg
- File:Subgroup of Oh; V inv green 14; matrix.svg
- File:Subgroup of Oh; V inv green 21; matrix.svg
- File:Subgroup of Oh; V inv white 07; matrix.svg
- File:Subgroup of Oh; V inv white 16; matrix.svg
- File:Subgroup of Oh; V inv white 23; matrix.svg
- File:Subgroup of Oh; V white; matrix.svg
- File:Subgroup of Oh; V yellow white 07; matrix.svg
- File:Subgroup of Oh; V yellow white 16; matrix.svg
- File:Subgroup of Oh; V yellow white 23; matrix.svg
- File:Subgroup of Oh; trivial; matrix.svg
View more links to this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikiversity.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 292.32281 |
---|---|
Height | 363.18896 |