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Download displayed columns for resultsElements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,125)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 7P | 31P | ||||||
| $\PSL(2,125)$ | 7A1 | $7$ | $15500$ | $C_{63}$ | 7A2 | 7A3 | 7A2 | 1A | 7A3 | $ \left[ \left(\begin{array}{rr} 50 & 47 \\ 96 & 79 \end{array}\right) \right] $ |
| $\PSL(2,125)$ | 7A2 | $7$ | $15500$ | $C_{63}$ | 7A3 | 7A1 | 7A3 | 1A | 7A1 | $ \left[ \left(\begin{array}{rr} 56 & 27 \\ 76 & 69 \end{array}\right) \right] $ |
| $\PSL(2,125)$ | 7A3 | $7$ | $15500$ | $C_{63}$ | 7A1 | 7A2 | 7A1 | 1A | 7A2 | $ \left[ \left(\begin{array}{rr} 31 & 113 \\ 38 & 43 \end{array}\right) \right] $ |