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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,37)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 19P 37P
$\PSL(2,37)$ 2A $2$ $703$ $D_{18}$ 1A 2A 2A 2A $ \left[ \left(\begin{array}{rr} 1 & 7 \\ 5 & 36 \end{array}\right) \right] $
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