The rows of this matrix are 16 of the 16*24 = 384 permutations in the symmetry group of the tesseract.
The order of colors in row ${\displaystyle m}$ of matrix ${\displaystyle n}$ is the result of applying permutation ${\displaystyle (m,n)}$ on the initial order,
which is seen in the dots. Where square and dot have the same color, the permutation has a fixed point.
Highlighted fixed points and numbers instead of colors can be seen in Tesseract permutation fixed points.

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