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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
$\PSL(2,137)$ 17A1 $17$ $18906$ not computed 17A2 17A3 17A6 1A 17A6 $ \left[ \left(\begin{array}{rr} 112 & 77 \\ 21 & 12 \end{array}\right) \right] $
$\PSL(2,137)$ 17A2 $17$ $18906$ not computed 17A4 17A6 17A5 1A 17A5 $ \left[ \left(\begin{array}{rr} 87 & 42 \\ 136 & 20 \end{array}\right) \right] $
$\PSL(2,137)$ 17A3 $17$ $18906$ not computed 17A6 17A8 17A1 1A 17A1 $ \left[ \left(\begin{array}{rr} 60 & 58 \\ 103 & 111 \end{array}\right) \right] $
$\PSL(2,137)$ 17A4 $17$ $18906$ not computed 17A8 17A5 17A7 1A 17A7 $ \left[ \left(\begin{array}{rr} 8 & 27 \\ 107 & 53 \end{array}\right) \right] $
$\PSL(2,137)$ 17A5 $17$ $18906$ not computed 17A7 17A2 17A4 1A 17A4 $ \left[ \left(\begin{array}{rr} 44 & 19 \\ 55 & 30 \end{array}\right) \right] $
$\PSL(2,137)$ 17A6 $17$ $18906$ not computed 17A5 17A1 17A2 1A 17A2 $ \left[ \left(\begin{array}{rr} 121 & 54 \\ 77 & 74 \end{array}\right) \right] $
$\PSL(2,137)$ 17A7 $17$ $18906$ not computed 17A3 17A4 17A8 1A 17A8 $ \left[ \left(\begin{array}{rr} 27 & 101 \\ 40 & 104 \end{array}\right) \right] $
$\PSL(2,137)$ 17A8 $17$ $18906$ not computed 17A1 17A7 17A3 1A 17A3 $ \left[ \left(\begin{array}{rr} 61 & 134 \\ 49 & 56 \end{array}\right) \right] $
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