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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
$\PSL(2,13)$ 13A1 $13$ $84$ $C_{13}$ 13A2 13A1 13A2 1A $ \left[ \left(\begin{array}{rr} 1 & 0 \\ 7 & 1 \end{array}\right) \right] $
$\PSL(2,13)$ 13A2 $13$ $84$ $C_{13}$ 13A1 13A2 13A1 1A $ \left[ \left(\begin{array}{rr} 12 & 0 \\ 12 & 12 \end{array}\right) \right] $
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