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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,13)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 7P 13P
$\PSL(2,13)$ 3A $3$ $182$ $C_6$ 3A 1A 3A 3A $ \left[ \left(\begin{array}{rr} 5 & 1 \\ 5 & 9 \end{array}\right) \right] $
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