Refine search
Results (18 matches)
Download displayed columns for resultsElements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,31)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |||
|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 31P | ||||||
| $\PSL(2,31)$ | 1A | $1$ | $1$ | $\PSL(2,31)$ | 1A | 1A | 1A | 1A | $ \left[ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 2A | $2$ | $465$ | $D_{16}$ | 1A | 2A | 2A | 2A | $ \left[ \left(\begin{array}{rr} 24 & 22 \\ 9 & 7 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 3A | $3$ | $992$ | $C_{15}$ | 3A | 1A | 3A | 3A | $ \left[ \left(\begin{array}{rr} 26 & 13 \\ 0 & 6 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 4A | $4$ | $930$ | $C_{16}$ | 2A | 4A | 4A | 4A | $ \left[ \left(\begin{array}{rr} 30 & 26 \\ 5 & 24 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 5A1 | $5$ | $992$ | $C_{15}$ | 5A2 | 5A2 | 1A | 5A1 | $ \left[ \left(\begin{array}{rr} 2 & 25 \\ 0 & 16 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 5A2 | $5$ | $992$ | $C_{15}$ | 5A1 | 5A1 | 1A | 5A2 | $ \left[ \left(\begin{array}{rr} 27 & 15 \\ 0 & 23 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 8A1 | $8$ | $930$ | $C_{16}$ | 4A | 8A3 | 8A3 | 8A1 | $ \left[ \left(\begin{array}{rr} 0 & 30 \\ 1 & 5 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 8A3 | $8$ | $930$ | $C_{16}$ | 4A | 8A1 | 8A1 | 8A3 | $ \left[ \left(\begin{array}{rr} 26 & 7 \\ 24 & 22 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 15A1 | $15$ | $992$ | $C_{15}$ | 15A2 | 5A1 | 3A | 15A1 | $ \left[ \left(\begin{array}{rr} 7 & 8 \\ 0 & 9 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 15A2 | $15$ | $992$ | $C_{15}$ | 15A4 | 5A2 | 3A | 15A2 | $ \left[ \left(\begin{array}{rr} 13 & 27 \\ 0 & 12 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 15A4 | $15$ | $992$ | $C_{15}$ | 15A7 | 5A1 | 3A | 15A4 | $ \left[ \left(\begin{array}{rr} 17 & 7 \\ 0 & 11 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 15A7 | $15$ | $992$ | $C_{15}$ | 15A1 | 5A2 | 3A | 15A7 | $ \left[ \left(\begin{array}{rr} 28 & 21 \\ 0 & 10 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 16A1 | $16$ | $930$ | $C_{16}$ | 8A1 | 16A3 | 16A5 | 16A1 | $ \left[ \left(\begin{array}{rr} 17 & 17 \\ 14 & 25 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 16A3 | $16$ | $930$ | $C_{16}$ | 8A3 | 16A7 | 16A1 | 16A3 | $ \left[ \left(\begin{array}{rr} 17 & 6 \\ 25 & 18 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 16A5 | $16$ | $930$ | $C_{16}$ | 8A3 | 16A1 | 16A7 | 16A5 | $ \left[ \left(\begin{array}{rr} 6 & 13 \\ 18 & 3 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 16A7 | $16$ | $930$ | $C_{16}$ | 8A1 | 16A5 | 16A3 | 16A7 | $ \left[ \left(\begin{array}{rr} 13 & 28 \\ 3 & 28 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 31A1 | $31$ | $480$ | $C_{31}$ | 31A1 | 31A-1 | 31A1 | 1A | $ \left[ \left(\begin{array}{rr} 18 & 23 \\ 9 & 15 \end{array}\right) \right] $ |
| $\PSL(2,31)$ | 31A-1 | $31$ | $480$ | $C_{31}$ | 31A-1 | 31A1 | 31A-1 | 1A | $ \left[ \left(\begin{array}{rr} 16 & 23 \\ 9 & 13 \end{array}\right) \right] $ |