I.M.Wanless and B.S.Webb, Small partial Latin squares that cannot be embedded in a Cayley table,
H.Dietrich and I.M.Wanless, Small partial Latin squares that embed in an infinite group but not into any finite group.
If you want to know what format these files are in, it is my usual latin squares format.
First a catalogue of species representatives of all PLS for size up to 7
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