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Download displayed columns for resultsElements 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 | ||||||
| $\PSL(2,37)$ | 37A1 | $37$ | $684$ | $C_{37}$ | 37A2 | 37A1 | 37A2 | 1A | $ \left[ \left(\begin{array}{rr} 18 & 23 \\ 2 & 17 \end{array}\right) \right] $ |
| $\PSL(2,37)$ | 37A2 | $37$ | $684$ | $C_{37}$ | 37A1 | 37A2 | 37A1 | 1A | $ \left[ \left(\begin{array}{rr} 0 & 28 \\ 33 & 2 \end{array}\right) \right] $ |