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Results (48 matches)
Download displayed columns for resultsElements of the group are displayed as matrices in $\GL(2,7)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||
|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 7P | ||||||
| $\GL(2,7)$ | 1A | $1$ | $1$ | not computed | 1A | 1A | 1A | $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $ |
| $\GL(2,7)$ | 2A | $2$ | $1$ | not computed | 1A | 2A | 2A | $ \left(\begin{array}{rr} 6 & 0 \\ 0 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 2B | $2$ | $56$ | not computed | 1A | 2B | 2B | $ \left(\begin{array}{rr} 3 & 2 \\ 3 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 3A1 | $3$ | $1$ | not computed | 3A-1 | 1A | 3A1 | $ \left(\begin{array}{rr} 4 & 0 \\ 0 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 3A-1 | $3$ | $1$ | not computed | 3A1 | 1A | 3A-1 | $ \left(\begin{array}{rr} 2 & 0 \\ 0 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 3B | $3$ | $56$ | not computed | 3B | 1A | 3B | $ \left(\begin{array}{rr} 0 & 5 \\ 4 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 3C1 | $3$ | $56$ | not computed | 3C-1 | 1A | 3C1 | $ \left(\begin{array}{rr} 2 & 5 \\ 6 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 3C-1 | $3$ | $56$ | not computed | 3C1 | 1A | 3C-1 | $ \left(\begin{array}{rr} 6 & 4 \\ 2 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 4A | $4$ | $42$ | not computed | 2A | 4A | 4A | $ \left(\begin{array}{rr} 4 & 3 \\ 6 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 6A1 | $6$ | $1$ | not computed | 3A1 | 2A | 6A1 | $ \left(\begin{array}{rr} 5 & 0 \\ 0 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 6A-1 | $6$ | $1$ | not computed | 3A-1 | 2A | 6A-1 | $ \left(\begin{array}{rr} 3 & 0 \\ 0 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 6B | $6$ | $56$ | not computed | 3B | 2A | 6B | $ \left(\begin{array}{rr} 5 & 0 \\ 4 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 6C1 | $6$ | $56$ | not computed | 3B | 2B | 6C1 | $ \left(\begin{array}{rr} 3 & 6 \\ 2 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 6C-1 | $6$ | $56$ | not computed | 3B | 2B | 6C-1 | $ \left(\begin{array}{rr} 1 & 6 \\ 2 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 6D1 | $6$ | $56$ | not computed | 3C1 | 2B | 6D1 | $ \left(\begin{array}{rr} 0 & 2 \\ 1 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 6D-1 | $6$ | $56$ | not computed | 3C-1 | 2B | 6D-1 | $ \left(\begin{array}{rr} 4 & 1 \\ 4 & 0 \end{array}\right) $ |
| $\GL(2,7)$ | 6E1 | $6$ | $56$ | not computed | 3C1 | 2A | 6E1 | $ \left(\begin{array}{rr} 6 & 1 \\ 0 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 6E-1 | $6$ | $56$ | not computed | 3C-1 | 2A | 6E-1 | $ \left(\begin{array}{rr} 6 & 3 \\ 0 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 6F1 | $6$ | $56$ | not computed | 3A-1 | 2B | 6F1 | $ \left(\begin{array}{rr} 1 & 6 \\ 6 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 6F-1 | $6$ | $56$ | not computed | 3A1 | 2B | 6F-1 | $ \left(\begin{array}{rr} 4 & 3 \\ 3 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 6G1 | $6$ | $56$ | not computed | 3C-1 | 2B | 6G1 | $ \left(\begin{array}{rr} 4 & 6 \\ 0 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 6G-1 | $6$ | $56$ | not computed | 3C1 | 2B | 6G-1 | $ \left(\begin{array}{rr} 2 & 5 \\ 0 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 7A | $7$ | $48$ | not computed | 7A | 7A | 1A | $ \left(\begin{array}{rr} 0 & 4 \\ 5 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 8A1 | $8$ | $42$ | not computed | 4A | 8A3 | 8A1 | $ \left(\begin{array}{rr} 4 & 1 \\ 2 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 8A3 | $8$ | $42$ | not computed | 4A | 8A1 | 8A3 | $ \left(\begin{array}{rr} 1 & 1 \\ 2 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 12A1 | $12$ | $42$ | not computed | 6A1 | 4A | 12A1 | $ \left(\begin{array}{rr} 5 & 2 \\ 4 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 12A-1 | $12$ | $42$ | not computed | 6A-1 | 4A | 12A-1 | $ \left(\begin{array}{rr} 1 & 6 \\ 5 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 14A | $14$ | $48$ | not computed | 7A | 14A | 2A | $ \left(\begin{array}{rr} 3 & 5 \\ 1 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 16A1 | $16$ | $42$ | not computed | 8A1 | 16A3 | 16A1 | $ \left(\begin{array}{rr} 4 & 6 \\ 5 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 16A-1 | $16$ | $42$ | not computed | 8A1 | 16A-3 | 16A-1 | $ \left(\begin{array}{rr} 5 & 6 \\ 5 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 16A3 | $16$ | $42$ | not computed | 8A3 | 16A-1 | 16A3 | $ \left(\begin{array}{rr} 0 & 5 \\ 3 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 16A-3 | $16$ | $42$ | not computed | 8A3 | 16A1 | 16A-3 | $ \left(\begin{array}{rr} 4 & 5 \\ 3 & 0 \end{array}\right) $ |
| $\GL(2,7)$ | 21A1 | $21$ | $48$ | not computed | 21A-1 | 7A | 3A-1 | $ \left(\begin{array}{rr} 6 & 5 \\ 1 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 21A-1 | $21$ | $48$ | not computed | 21A1 | 7A | 3A1 | $ \left(\begin{array}{rr} 3 & 4 \\ 5 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 24A1 | $24$ | $42$ | not computed | 12A1 | 8A1 | 24A1 | $ \left(\begin{array}{rr} 2 & 2 \\ 4 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 24A-1 | $24$ | $42$ | not computed | 12A-1 | 8A1 | 24A-1 | $ \left(\begin{array}{rr} 5 & 3 \\ 6 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 24A5 | $24$ | $42$ | not computed | 12A-1 | 8A3 | 24A5 | $ \left(\begin{array}{rr} 3 & 3 \\ 6 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 24A-5 | $24$ | $42$ | not computed | 12A1 | 8A3 | 24A-5 | $ \left(\begin{array}{rr} 1 & 2 \\ 4 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 42A1 | $42$ | $48$ | not computed | 21A1 | 14A | 6A-1 | $ \left(\begin{array}{rr} 6 & 2 \\ 6 & 0 \end{array}\right) $ |
| $\GL(2,7)$ | 42A-1 | $42$ | $48$ | not computed | 21A-1 | 14A | 6A1 | $ \left(\begin{array}{rr} 0 & 6 \\ 4 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 48A1 | $48$ | $42$ | not computed | 24A1 | 16A1 | 48A1 | $ \left(\begin{array}{rr} 0 & 1 \\ 2 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 48A-1 | $48$ | $42$ | not computed | 24A-1 | 16A-1 | 48A-1 | $ \left(\begin{array}{rr} 0 & 1 \\ 4 & 6 \end{array}\right) $ |
| $\GL(2,7)$ | 48A5 | $48$ | $42$ | not computed | 24A5 | 16A3 | 48A5 | $ \left(\begin{array}{rr} 0 & 1 \\ 4 & 5 \end{array}\right) $ |
| $\GL(2,7)$ | 48A-5 | $48$ | $42$ | not computed | 24A-5 | 16A-3 | 48A-5 | $ \left(\begin{array}{rr} 0 & 1 \\ 2 & 4 \end{array}\right) $ |
| $\GL(2,7)$ | 48A11 | $48$ | $42$ | not computed | 24A5 | 16A-3 | 48A11 | $ \left(\begin{array}{rr} 0 & 1 \\ 4 & 2 \end{array}\right) $ |
| $\GL(2,7)$ | 48A-11 | $48$ | $42$ | not computed | 24A-5 | 16A3 | 48A-11 | $ \left(\begin{array}{rr} 0 & 1 \\ 2 & 3 \end{array}\right) $ |
| $\GL(2,7)$ | 48A17 | $48$ | $42$ | not computed | 24A-1 | 16A1 | 48A17 | $ \left(\begin{array}{rr} 0 & 1 \\ 4 & 1 \end{array}\right) $ |
| $\GL(2,7)$ | 48A-17 | $48$ | $42$ | not computed | 24A1 | 16A-1 | 48A-17 | $ \left(\begin{array}{rr} 0 & 1 \\ 2 & 5 \end{array}\right) $ |