File:Full octahedral group; pairs matrix.svg

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).

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Date
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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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Category:Octahedral group Category:8×6 matrices Category:Binary digit sum as light and dark gray Category:Symmetric group S3; white and green Category:Full octahedral group (wgo extended) Category:Conjugacy class Category:Diagrams with transparent background

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Category:8×6 matrices Category:Binary digit sum as light and dark gray Category:CC-BY-SA-4.0 Category:Conjugacy class Category:Diagrams with transparent background Category:Full octahedral group (wgo extended) Category:GFDL Category:License migration redundant Category:Octahedral group Category:Self-published work Category:Symmetric group S3; white and green Category:Valid SVG created with Inkscape