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Download displayed columns for resultsElements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,29)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 7P | 29P | ||||||
| $\PSL(2,29)$ | 15A1 | $15$ | $812$ | $C_{15}$ | 15A2 | 5A1 | 3A | 15A7 | 15A1 | $ \left[ \left(\begin{array}{rr} 12 & 19 \\ 18 & 2 \end{array}\right) \right] $ |
| $\PSL(2,29)$ | 15A2 | $15$ | $812$ | $C_{15}$ | 15A4 | 5A2 | 3A | 15A1 | 15A2 | $ \left[ \left(\begin{array}{rr} 22 & 5 \\ 20 & 27 \end{array}\right) \right] $ |
| $\PSL(2,29)$ | 15A4 | $15$ | $812$ | $C_{15}$ | 15A7 | 5A1 | 3A | 15A2 | 15A4 | $ \left[ \left(\begin{array}{rr} 4 & 13 \\ 23 & 17 \end{array}\right) \right] $ |
| $\PSL(2,29)$ | 15A7 | $15$ | $812$ | $C_{15}$ | 15A1 | 5A2 | 3A | 15A4 | 15A7 | $ \left[ \left(\begin{array}{rr} 21 & 12 \\ 19 & 4 \end{array}\right) \right] $ |