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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
$\PSL(2,137)$ 23A1 $23$ $18632$ not computed 23A2 23A3 23A11 23A6 1A $ \left[ \left(\begin{array}{rr} 106 & 33 \\ 2 & 126 \end{array}\right) \right] $
$\PSL(2,137)$ 23A2 $23$ $18632$ not computed 23A4 23A6 23A1 23A11 1A $ \left[ \left(\begin{array}{rr} 68 & 121 \\ 53 & 50 \end{array}\right) \right] $
$\PSL(2,137)$ 23A3 $23$ $18632$ not computed 23A6 23A9 23A10 23A5 1A $ \left[ \left(\begin{array}{rr} 52 & 91 \\ 101 & 103 \end{array}\right) \right] $
$\PSL(2,137)$ 23A4 $23$ $18632$ not computed 23A8 23A11 23A2 23A1 1A $ \left[ \left(\begin{array}{rr} 60 & 107 \\ 48 & 129 \end{array}\right) \right] $
$\PSL(2,137)$ 23A5 $23$ $18632$ not computed 23A10 23A8 23A9 23A7 1A $ \left[ \left(\begin{array}{rr} 2 & 19 \\ 134 & 109 \end{array}\right) \right] $
$\PSL(2,137)$ 23A6 $23$ $18632$ not computed 23A11 23A5 23A3 23A10 1A $ \left[ \left(\begin{array}{rr} 113 & 131 \\ 37 & 72 \end{array}\right) \right] $
$\PSL(2,137)$ 23A7 $23$ $18632$ not computed 23A9 23A2 23A8 23A4 1A $ \left[ \left(\begin{array}{rr} 47 & 96 \\ 93 & 18 \end{array}\right) \right] $
$\PSL(2,137)$ 23A8 $23$ $18632$ not computed 23A7 23A1 23A4 23A2 1A $ \left[ \left(\begin{array}{rr} 105 & 84 \\ 30 & 131 \end{array}\right) \right] $
$\PSL(2,137)$ 23A9 $23$ $18632$ not computed 23A5 23A4 23A7 23A8 1A $ \left[ \left(\begin{array}{rr} 64 & 75 \\ 17 & 97 \end{array}\right) \right] $
$\PSL(2,137)$ 23A10 $23$ $18632$ not computed 23A3 23A7 23A5 23A9 1A $ \left[ \left(\begin{array}{rr} 53 & 83 \\ 59 & 95 \end{array}\right) \right] $
$\PSL(2,137)$ 23A11 $23$ $18632$ not computed 23A1 23A10 23A6 23A3 1A $ \left[ \left(\begin{array}{rr} 107 & 123 \\ 132 & 57 \end{array}\right) \right] $
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