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Results (14 matches)
Download displayed columns for resultsElements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,23)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |||
|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 11P | 23P | ||||||
| $\PSL(2,23)$ | 1A | $1$ | $1$ | $\PSL(2,23)$ | 1A | 1A | 1A | 1A | $ \left[ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 2A | $2$ | $253$ | $D_{12}$ | 1A | 2A | 2A | 2A | $ \left[ \left(\begin{array}{rr} 21 & 18 \\ 1 & 2 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 3A | $3$ | $506$ | $C_{12}$ | 3A | 1A | 3A | 3A | $ \left[ \left(\begin{array}{rr} 5 & 17 \\ 15 & 19 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 4A | $4$ | $506$ | $C_{12}$ | 2A | 4A | 4A | 4A | $ \left[ \left(\begin{array}{rr} 4 & 22 \\ 14 & 14 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 6A | $6$ | $506$ | $C_{12}$ | 3A | 2A | 6A | 6A | $ \left[ \left(\begin{array}{rr} 9 & 14 \\ 11 & 7 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 11A1 | $11$ | $552$ | $C_{11}$ | 11A2 | 11A3 | 11A5 | 1A | $ \left[ \left(\begin{array}{rr} 19 & 18 \\ 2 & 8 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 11A2 | $11$ | $552$ | $C_{11}$ | 11A4 | 11A5 | 11A1 | 1A | $ \left[ \left(\begin{array}{rr} 17 & 20 \\ 15 & 15 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 11A3 | $11$ | $552$ | $C_{11}$ | 11A5 | 11A2 | 11A4 | 1A | $ \left[ \left(\begin{array}{rr} 5 & 17 \\ 7 & 1 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 11A4 | $11$ | $552$ | $C_{11}$ | 11A3 | 11A1 | 11A2 | 1A | $ \left[ \left(\begin{array}{rr} 9 & 4 \\ 3 & 4 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 11A5 | $11$ | $552$ | $C_{11}$ | 11A1 | 11A4 | 11A3 | 1A | $ \left[ \left(\begin{array}{rr} 18 & 10 \\ 19 & 17 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 12A1 | $12$ | $506$ | $C_{12}$ | 6A | 4A | 12A5 | 12A1 | $ \left[ \left(\begin{array}{rr} 16 & 4 \\ 13 & 22 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 12A5 | $12$ | $506$ | $C_{12}$ | 6A | 4A | 12A1 | 12A5 | $ \left[ \left(\begin{array}{rr} 2 & 3 \\ 4 & 18 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 23A1 | $23$ | $264$ | $C_{23}$ | 23A1 | 23A1 | 23A-1 | 23A-1 | $ \left[ \left(\begin{array}{rr} 2 & 4 \\ 15 & 19 \end{array}\right) \right] $ |
| $\PSL(2,23)$ | 23A-1 | $23$ | $264$ | $C_{23}$ | 23A-1 | 23A-1 | 23A1 | 23A1 | $ \left[ \left(\begin{array}{rr} 4 & 4 \\ 15 & 21 \end{array}\right) \right] $ |