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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
$\PSL(2,61)$ 5A1 $5$ $3782$ $C_{30}$ 5A2 5A2 1A 5A1 5A1 $ \left[ \left(\begin{array}{rr} 52 & 31 \\ 18 & 26 \end{array}\right) \right] $
$\PSL(2,61)$ 5A2 $5$ $3782$ $C_{30}$ 5A1 5A1 1A 5A2 5A2 $ \left[ \left(\begin{array}{rr} 29 & 39 \\ 1 & 14 \end{array}\right) \right] $
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