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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,125)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 31P
$\PSL(2,125)$ 62A1 $62$ $15750$ $C_{62}$ 31A1 62A3 62A5 62A7 2A $ \left[ \left(\begin{array}{rr} 24 & 64 \\ 74 & 10 \end{array}\right) \right] $
$\PSL(2,125)$ 62A3 $62$ $15750$ $C_{62}$ 31A3 62A9 62A15 62A21 2A $ \left[ \left(\begin{array}{rr} 76 & 67 \\ 77 & 106 \end{array}\right) \right] $
$\PSL(2,125)$ 62A5 $62$ $15750$ $C_{62}$ 31A5 62A15 62A25 62A27 2A $ \left[ \left(\begin{array}{rr} 55 & 66 \\ 76 & 50 \end{array}\right) \right] $
$\PSL(2,125)$ 62A7 $62$ $15750$ $C_{62}$ 31A7 62A21 62A27 62A13 2A $ \left[ \left(\begin{array}{rr} 63 & 7 \\ 17 & 3 \end{array}\right) \right] $
$\PSL(2,125)$ 62A9 $62$ $15750$ $C_{62}$ 31A9 62A27 62A17 62A1 2A $ \left[ \left(\begin{array}{rr} 113 & 96 \\ 106 & 32 \end{array}\right) \right] $
$\PSL(2,125)$ 62A11 $62$ $15750$ $C_{62}$ 31A11 62A29 62A7 62A15 2A $ \left[ \left(\begin{array}{rr} 8 & 77 \\ 87 & 115 \end{array}\right) \right] $
$\PSL(2,125)$ 62A13 $62$ $15750$ $C_{62}$ 31A13 62A23 62A3 62A29 2A $ \left[ \left(\begin{array}{rr} 105 & 89 \\ 99 & 32 \end{array}\right) \right] $
$\PSL(2,125)$ 62A15 $62$ $15750$ $C_{62}$ 31A15 62A17 62A13 62A19 2A $ \left[ \left(\begin{array}{rr} 40 & 81 \\ 91 & 3 \end{array}\right) \right] $
$\PSL(2,125)$ 62A17 $62$ $15750$ $C_{62}$ 31A14 62A11 62A23 62A5 2A $ \left[ \left(\begin{array}{rr} 41 & 102 \\ 112 & 112 \end{array}\right) \right] $
$\PSL(2,125)$ 62A19 $62$ $15750$ $C_{62}$ 31A12 62A5 62A29 62A9 2A $ \left[ \left(\begin{array}{rr} 38 & 50 \\ 60 & 106 \end{array}\right) \right] $
$\PSL(2,125)$ 62A21 $62$ $15750$ $C_{62}$ 31A10 62A1 62A19 62A23 2A $ \left[ \left(\begin{array}{rr} 100 & 36 \\ 46 & 72 \end{array}\right) \right] $
$\PSL(2,125)$ 62A23 $62$ $15750$ $C_{62}$ 31A8 62A7 62A9 62A25 2A $ \left[ \left(\begin{array}{rr} 103 & 8 \\ 18 & 24 \end{array}\right) \right] $
$\PSL(2,125)$ 62A25 $62$ $15750$ $C_{62}$ 31A6 62A13 62A1 62A11 2A $ \left[ \left(\begin{array}{rr} 102 & 76 \\ 86 & 14 \end{array}\right) \right] $
$\PSL(2,125)$ 62A27 $62$ $15750$ $C_{62}$ 31A4 62A19 62A11 62A3 2A $ \left[ \left(\begin{array}{rr} 105 & 91 \\ 101 & 117 \end{array}\right) \right] $
$\PSL(2,125)$ 62A29 $62$ $15750$ $C_{62}$ 31A2 62A25 62A21 62A17 2A $ \left[ \left(\begin{array}{rr} 8 & 58 \\ 68 & 63 \end{array}\right) \right] $
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