File:Symmetric group 4; Cayley table (left); numbers.svg

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Summary

Description
A submatrix containing all 24 elements
One of the Dih4 subgroups (also left action)

Cayley table of the symmetric group S4 showing all 24 permutations of 4 elements

This is:
left action
last ⋅ first
There is also:
right action
first ⋅ last

For right action see: File:Symmetric group 4; Cayley table; numbers.svg

Even permutations are white:

Odd permutations are colored:

  • six transpositions (green)
  • six 4-cycles (orange)

Calculation of the matrix with Python: http://pastebin.com/BGkvfdgH


 
This vector image was created with Inkscape .
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Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".


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Date/TimeThumbnailDimensionsUserComment
current21:44, 11 May 2017Thumbnail for version as of 21:44, 11 May 2017744 × 744 (1.31 MB)Watchduck{{Information |Description ={{en|1=foooooooo}} |Source ={{own}} |Author =Watchduck |Date = |Permission = |other_versions = }}

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