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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 $\SU(3,5)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |||
|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 7P | ||||||
| $\PSU(3,5)$ | 1A | $1$ | $1$ | $\PSU(3,5)$ | 1A | 1A | 1A | 1A | $ \left[ \left(\begin{array}{rrr} 0 & -1 & -1 \\ -1 & 0 & -1 \\ -1 & -1 & 0 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 2A | $2$ | $525$ | $\SL(2,5):C_2$ | 1A | 2A | 2A | 2A | $ \left[ \left(\begin{array}{rrr} 17 & 1 & 10 \\ 17 & 10 & 13 \\ 10 & 21 & 21 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 3A | $3$ | $3500$ | $C_3\times A_4$ | 3A | 1A | 3A | 3A | $ \left[ \left(\begin{array}{rrr} 21 & 9 & 10 \\ 20 & 7 & 19 \\ 8 & 17 & 22 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 4A | $4$ | $15750$ | $C_8$ | 2A | 4A | 4A | 4A | $ \left[ \left(\begin{array}{rrr} 10 & 16 & 15 \\ -1 & 16 & 10 \\ -1 & -1 & 22 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 5A | $5$ | $504$ | $C_5^2:D_5$ | 5A | 5A | 1A | 5A | $ \left[ \left(\begin{array}{rrr} 20 & 20 & 13 \\ 11 & 18 & 0 \\ 7 & 3 & 15 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 5B | $5$ | $5040$ | $C_5^2$ | 5B | 5B | 1A | 5B | $ \left[ \left(\begin{array}{rrr} 7 & 6 & 7 \\ 1 & 23 & 14 \\ 8 & 17 & 7 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 5C | $5$ | $5040$ | $C_5^2$ | 5C | 5C | 1A | 5C | $ \left[ \left(\begin{array}{rrr} 4 & 10 & 0 \\ 20 & 5 & 4 \\ 12 & 6 & 13 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 5D | $5$ | $5040$ | $C_5^2$ | 5D | 5D | 1A | 5D | $ \left[ \left(\begin{array}{rrr} 9 & 10 & 4 \\ 19 & 16 & 16 \\ 14 & 7 & 12 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 6A | $6$ | $10500$ | $C_2\times C_6$ | 3A | 2A | 6A | 6A | $ \left[ \left(\begin{array}{rrr} 16 & 8 & 5 \\ 21 & 23 & 3 \\ 15 & 22 & 1 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 7A1 | $7$ | $18000$ | $C_7$ | 7A1 | 7A-1 | 7A-1 | 1A | $ \left[ \left(\begin{array}{rrr} 2 & 16 & 22 \\ 22 & 7 & 0 \\ 15 & 14 & 2 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 7A-1 | $7$ | $18000$ | $C_7$ | 7A-1 | 7A1 | 7A1 | 1A | $ \left[ \left(\begin{array}{rrr} 18 & 8 & 22 \\ 6 & 19 & 16 \\ 11 & 22 & 18 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 8A1 | $8$ | $15750$ | $C_8$ | 4A | 8A1 | 8A-1 | 8A-1 | $ \left[ \left(\begin{array}{rrr} 5 & 9 & 11 \\ -1 & 20 & 4 \\ -1 & -1 & 23 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 8A-1 | $8$ | $15750$ | $C_8$ | 4A | 8A-1 | 8A1 | 8A1 | $ \left[ \left(\begin{array}{rrr} 3 & 4 & 15 \\ -1 & 12 & 5 \\ -1 & -1 & 9 \end{array}\right) \right] $ |
| $\PSU(3,5)$ | 10A | $10$ | $12600$ | $C_{10}$ | 5A | 10A | 2A | 10A | $ \left[ \left(\begin{array}{rrr} 6 & 7 & 5 \\ 7 & 4 & 22 \\ 4 & -1 & 19 \end{array}\right) \right] $ |