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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 | ||||||
| $\PSL(2,125)$ | 5A1 | $5$ | $7812$ | $C_5^3$ | 5A2 | 5A2 | 1A | 5A2 | 5A1 | $ \left[ \left(\begin{array}{rr} 48 & 24 \\ 0 & 18 \end{array}\right) \right] $ |
| $\PSL(2,125)$ | 5A2 | $5$ | $7812$ | $C_5^3$ | 5A1 | 5A1 | 1A | 5A1 | 5A2 | $ \left[ \left(\begin{array}{rr} 89 & 117 \\ 93 & 113 \end{array}\right) \right] $ |