File:Full octahedral group; pairs matrix.svg

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Summary

Description
The equivalent submatrix of the Cayley table of S4

The 48 elements of the full octahedral group in their S4 based representation,
ordered in a 8×6 matrix based according to their pairs 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).

This is:
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last ⋅ first
There is also:
right action
first ⋅ last
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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24 July 2016

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Date/TimeThumbnailDimensionsUserComment
current22:38, 24 April 2017Thumbnail for version as of 22:38, 24 April 2017292 × 363 (177 KB)Watchduckcorrection and change of notation (left action now)
14:59, 24 July 2016Thumbnail for version as of 14:59, 24 July 2016340 × 269 (163 KB)Watchduck{{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...

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