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Download displayed columns for resultsElements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,61)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 31P | 61P | ||||||
| $\PSL(2,61)$ | 15A1 | $15$ | $3782$ | $C_{30}$ | 15A2 | 5A1 | 3A | 15A1 | 15A1 | $ \left[ \left(\begin{array}{rr} 1 & 46 \\ 9 & 49 \end{array}\right) \right] $ |
| $\PSL(2,61)$ | 15A2 | $15$ | $3782$ | $C_{30}$ | 15A4 | 5A2 | 3A | 15A2 | 15A2 | $ \left[ \left(\begin{array}{rr} 12 & 18 \\ 38 & 52 \end{array}\right) \right] $ |
| $\PSL(2,61)$ | 15A4 | $15$ | $3782$ | $C_{30}$ | 15A7 | 5A1 | 3A | 15A4 | 15A4 | $ \left[ \left(\begin{array}{rr} 35 & 54 \\ 53 & 33 \end{array}\right) \right] $ |
| $\PSL(2,61)$ | 15A7 | $15$ | $3782$ | $C_{30}$ | 15A1 | 5A2 | 3A | 15A7 | 15A7 | $ \left[ \left(\begin{array}{rr} 14 & 12 \\ 5 & 0 \end{array}\right) \right] $ |