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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,73)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 37P 73P
$\PSL(2,73)$ 18A1 $18$ $5402$ $C_{36}$ 9A1 6A 18A1 18A1 $ \left[ \left(\begin{array}{rr} 72 & 64 \\ 32 & 68 \end{array}\right) \right] $
$\PSL(2,73)$ 18A5 $18$ $5402$ $C_{36}$ 9A4 6A 18A5 18A5 $ \left[ \left(\begin{array}{rr} 37 & 30 \\ 15 & 26 \end{array}\right) \right] $
$\PSL(2,73)$ 18A7 $18$ $5402$ $C_{36}$ 9A2 6A 18A7 18A7 $ \left[ \left(\begin{array}{rr} 46 & 21 \\ 47 & 31 \end{array}\right) \right] $
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