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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
$\PSL(2,61)$ 30A1 $30$ $3782$ $C_{30}$ 15A1 10A1 6A 30A1 30A1 $ \left[ \left(\begin{array}{rr} 13 & 55 \\ 28 & 20 \end{array}\right) \right] $
$\PSL(2,61)$ 30A7 $30$ $3782$ $C_{30}$ 15A7 10A3 6A 30A7 30A7 $ \left[ \left(\begin{array}{rr} 42 & 58 \\ 14 & 15 \end{array}\right) \right] $
$\PSL(2,61)$ 30A11 $30$ $3782$ $C_{30}$ 15A4 10A1 6A 30A11 30A11 $ \left[ \left(\begin{array}{rr} 37 & 10 \\ 55 & 5 \end{array}\right) \right] $
$\PSL(2,61)$ 30A13 $30$ $3782$ $C_{30}$ 15A2 10A3 6A 30A13 30A13 $ \left[ \left(\begin{array}{rr} 56 & 4 \\ 22 & 31 \end{array}\right) \right] $
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