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Results (14 matches)
Download displayed columns for resultsElements of the group are displayed as matrices in $\GL_{2}(\F_{17})$.
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $D_8:C_2$ | 1A | $1$ | $1$ | $D_8:C_2$ | 1A | $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $ |
| $D_8:C_2$ | 2A | $2$ | $1$ | $D_8:C_2$ | 1A | $ \left(\begin{array}{rr} 16 & 0 \\ 0 & 16 \end{array}\right) $ |
| $D_8:C_2$ | 2B | $2$ | $2$ | $C_2\times C_8$ | 1A | $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 16 \end{array}\right) $ |
| $D_8:C_2$ | 2C | $2$ | $4$ | $C_2\times C_4$ | 1A | $ \left(\begin{array}{rr} 0 & 1 \\ 1 & 0 \end{array}\right) $ |
| $D_8:C_2$ | 2D | $2$ | $4$ | $C_2\times C_4$ | 1A | $ \left(\begin{array}{rr} 0 & 2 \\ 9 & 0 \end{array}\right) $ |
| $D_8:C_2$ | 4A1 | $4$ | $1$ | $D_8:C_2$ | 2A | $ \left(\begin{array}{rr} 4 & 0 \\ 0 & 4 \end{array}\right) $ |
| $D_8:C_2$ | 4A-1 | $4$ | $1$ | $D_8:C_2$ | 2A | $ \left(\begin{array}{rr} 13 & 0 \\ 0 & 13 \end{array}\right) $ |
| $D_8:C_2$ | 4B | $4$ | $2$ | $C_2\times C_8$ | 2A | $ \left(\begin{array}{rr} 4 & 0 \\ 0 & 13 \end{array}\right) $ |
| $D_8:C_2$ | 4C | $4$ | $4$ | $C_2\times C_4$ | 2A | $ \left(\begin{array}{rr} 0 & 1 \\ 16 & 0 \end{array}\right) $ |
| $D_8:C_2$ | 4D | $4$ | $4$ | $C_2\times C_4$ | 2A | $ \left(\begin{array}{rr} 0 & 2 \\ 8 & 0 \end{array}\right) $ |
| $D_8:C_2$ | 8A1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $ \left(\begin{array}{rr} 2 & 0 \\ 0 & 8 \end{array}\right) $ |
| $D_8:C_2$ | 8A-1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $ \left(\begin{array}{rr} 9 & 0 \\ 0 & 15 \end{array}\right) $ |
| $D_8:C_2$ | 8B1 | $8$ | $2$ | $C_2\times C_8$ | 4B | $ \left(\begin{array}{rr} 2 & 0 \\ 0 & 9 \end{array}\right) $ |
| $D_8:C_2$ | 8B3 | $8$ | $2$ | $C_2\times C_8$ | 4B | $ \left(\begin{array}{rr} 8 & 0 \\ 0 & 15 \end{array}\right) $ |