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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,61)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 31P 61P
$\PSL(2,61)$ 10A1 $10$ $3782$ $C_{30}$ 5A1 10A3 2A 10A1 10A1 $ \left[ \left(\begin{array}{rr} 41 & 1 \\ 36 & 50 \end{array}\right) \right] $
$\PSL(2,61)$ 10A3 $10$ $3782$ $C_{30}$ 5A2 10A1 2A 10A3 10A3 $ \left[ \left(\begin{array}{rr} 46 & 45 \\ 34 & 24 \end{array}\right) \right] $
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