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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
$\PSL(2,29)$ 7A1 $7$ $870$ $C_{14}$ 7A2 7A3 7A2 1A 7A1 $ \left[ \left(\begin{array}{rr} 14 & 21 \\ 19 & 12 \end{array}\right) \right] $
$\PSL(2,29)$ 7A2 $7$ $870$ $C_{14}$ 7A3 7A1 7A3 1A 7A2 $ \left[ \left(\begin{array}{rr} 14 & 5 \\ 28 & 8 \end{array}\right) \right] $
$\PSL(2,29)$ 7A3 $7$ $870$ $C_{14}$ 7A1 7A2 7A1 1A 7A3 $ \left[ \left(\begin{array}{rr} 28 & 23 \\ 7 & 12 \end{array}\right) \right] $
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