The 4x4 Klein bottle grid graph has 192 C4-face-magic labelings up to symmetries, classified by whether they admit horizontally or vertically pairwise balanced permutations.
Baˇ ca, On magic labelings of honeycomb.Discrete Math.105(1992)
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C4-face-magic labeling on a 4x4 Klein bottle grid graph
The 4x4 Klein bottle grid graph has 192 C4-face-magic labelings up to symmetries, classified by whether they admit horizontally or vertically pairwise balanced permutations.