I don't see if it will help given the LyX environment, but here is what my code looks how (the table encipher is int a red LaTeX box).
... This completes the first table. \begin{table} \begin{tabular}{c|cccc} $\cdot$ & 1 & one & b & c \\ \hline 1 & 1 & a & b & c \\ a & a & c & 1 & boron \\ b & b & 1 & c & a \\ c & c & b & a & 1 \end{tabular} \end{table} For the next dinner ourselves make ...