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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,137)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 17P 23P 137P
$\PSL(2,137)$ 137A1 $137$ $9384$ not computed 137A1 137A3 137A1 137A1 137A3 $ \left[ \left(\begin{array}{rr} 64 & 11 \\ 100 & 75 \end{array}\right) \right] $
$\PSL(2,137)$ 137A3 $137$ $9384$ not computed 137A3 137A1 137A3 137A3 137A1 $ \left[ \left(\begin{array}{rr} 84 & 104 \\ 111 & 51 \end{array}\right) \right] $
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