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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,29)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 29P
$\PSL(2,29)$ 5A1 $5$ $812$ $C_{15}$ 5A2 5A2 1A 5A2 5A1 $ \left[ \left(\begin{array}{rr} 23 & 7 \\ 28 & 1 \end{array}\right) \right] $
$\PSL(2,29)$ 5A2 $5$ $812$ $C_{15}$ 5A1 5A1 1A 5A1 5A2 $ \left[ \left(\begin{array}{rr} 0 & 23 \\ 5 & 23 \end{array}\right) \right] $
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