Category:Symmetry group of the tesseract; conjugacy classes

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These 10 images show the Sloane'sA000712(4) = 20 conjugacy classes of the hyperoctahedral group of dimension 4.
Each of the entries in this 16 × 24 matrix is a permutation in that group. Permutations in the same file with the same color are in the same conjugacy class.

table
0 bold white green orange
even Symmetry group of the tesseract, conju (even, 0).svg
1 + 6 + 1 = 8
Symmetry group of the tesseract, conju (even, bold).svg
12 + 12 = 24
Symmetry group of the tesseract, conju (even, white).svg
32 + 32 = 64
Symmetry group of the tesseract, conju (even, green).svg
12 + 24 + 12 = 48
Symmetry group of the tesseract, conju (even, orange).svg
48
even (light) odd (dark)
odd Symmetry group of the tesseract, conju (odd, 0).svg
4 + 4 = 8
Symmetry group of the tesseract, conju (odd, bold).svg
24
Symmetry group of the tesseract, conju (odd, white).svg
32 + 32 = 64
Symmetry group of the tesseract, conju (odd, green).svg
12 + 24 + 12 = 48
Symmetry group of the tesseract, conju (odd, orange).svg
48
odd (dark) even (light)

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