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Order Equal to 280

Let $\mid G \mid = 280$. By Sylow's Theorem:

\begin{displaymath}\begin{tabular}{\vert c\vert c\vert l\vert} \hline prime & Sy... ...hline 5 & 5 & 1 \\ \hline 7 & 7 & 1, 8 \\ \hline \end{tabular} \end{displaymath}

Since n5 = 1, G can not be simple!



2001-05-08