Refine search
Results (38 matches)
Download displayed columns for resultsElements of the group are displayed as matrices in $\GL_{2}(\Z/{16}\Z)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative |
|---|---|---|---|---|---|---|
| 2P | ||||||
| $C_4^2.D_4$ | 1A | $1$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 2A | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 7 & 0 \\ 0 & 7 \end{array}\right) $ |
| $C_4^2.D_4$ | 2B | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 15 & 0 \\ 0 & 15 \end{array}\right) $ |
| $C_4^2.D_4$ | 2C | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 15 & 8 \\ 0 & 15 \end{array}\right) $ |
| $C_4^2.D_4$ | 2D | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 7 & 8 \\ 0 & 7 \end{array}\right) $ |
| $C_4^2.D_4$ | 2E | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 9 & 0 \\ 0 & 9 \end{array}\right) $ |
| $C_4^2.D_4$ | 2F | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 9 & 8 \\ 0 & 9 \end{array}\right) $ |
| $C_4^2.D_4$ | 2G | $2$ | $1$ | $C_4^2.D_4$ | 1A | $ \left(\begin{array}{rr} 1 & 8 \\ 0 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 2H | $2$ | $4$ | $C_2^3\times C_4$ | 1A | $ \left(\begin{array}{rr} 13 & 4 \\ 10 & 3 \end{array}\right) $ |
| $C_4^2.D_4$ | 2I | $2$ | $4$ | $C_2^3\times C_4$ | 1A | $ \left(\begin{array}{rr} 5 & 4 \\ 10 & 11 \end{array}\right) $ |
| $C_4^2.D_4$ | 2J | $2$ | $4$ | $C_2^3\times C_4$ | 1A | $ \left(\begin{array}{rr} 11 & 12 \\ 6 & 5 \end{array}\right) $ |
| $C_4^2.D_4$ | 2K | $2$ | $4$ | $C_2^3\times C_4$ | 1A | $ \left(\begin{array}{rr} 3 & 12 \\ 6 & 13 \end{array}\right) $ |
| $C_4^2.D_4$ | 4A | $4$ | $2$ | $C_4^2:C_2^2$ | 2E | $ \left(\begin{array}{rr} 5 & 0 \\ 8 & 13 \end{array}\right) $ |
| $C_4^2.D_4$ | 4B | $4$ | $2$ | $C_4^2:C_2^2$ | 2E | $ \left(\begin{array}{rr} 13 & 8 \\ 8 & 5 \end{array}\right) $ |
| $C_4^2.D_4$ | 4C | $4$ | $2$ | $C_4^2.C_4$ | 2F | $ \left(\begin{array}{rr} 3 & 12 \\ 8 & 11 \end{array}\right) $ |
| $C_4^2.D_4$ | 4D | $4$ | $2$ | $C_4^2:C_2^2$ | 2E | $ \left(\begin{array}{rr} 3 & 0 \\ 8 & 11 \end{array}\right) $ |
| $C_4^2.D_4$ | 4E | $4$ | $2$ | $C_4^2.C_4$ | 2F | $ \left(\begin{array}{rr} 13 & 4 \\ 8 & 5 \end{array}\right) $ |
| $C_4^2.D_4$ | 4F | $4$ | $2$ | $C_4^2:C_2^2$ | 2E | $ \left(\begin{array}{rr} 11 & 8 \\ 8 & 3 \end{array}\right) $ |
| $C_4^2.D_4$ | 4G | $4$ | $2$ | $C_4^2.C_4$ | 2F | $ \left(\begin{array}{rr} 5 & 4 \\ 8 & 13 \end{array}\right) $ |
| $C_4^2.D_4$ | 4H | $4$ | $2$ | $C_4^2.C_4$ | 2F | $ \left(\begin{array}{rr} 11 & 12 \\ 8 & 3 \end{array}\right) $ |
| $C_4^2.D_4$ | 4I | $4$ | $4$ | $C_2\times C_4^2$ | 2G | $ \left(\begin{array}{rr} 7 & 12 \\ 0 & 7 \end{array}\right) $ |
| $C_4^2.D_4$ | 4J | $4$ | $4$ | $C_2\times C_4^2$ | 2G | $ \left(\begin{array}{rr} 1 & 4 \\ 0 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 4K1 | $4$ | $4$ | $C_2^3\times C_4$ | 2E | $ \left(\begin{array}{rr} 1 & 4 \\ 10 & 7 \end{array}\right) $ |
| $C_4^2.D_4$ | 4K-1 | $4$ | $4$ | $C_2^3\times C_4$ | 2E | $ \left(\begin{array}{rr} 9 & 4 \\ 10 & 15 \end{array}\right) $ |
| $C_4^2.D_4$ | 4L1 | $4$ | $4$ | $C_2^3\times C_4$ | 2E | $ \left(\begin{array}{rr} 7 & 12 \\ 6 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 4L-1 | $4$ | $4$ | $C_2^3\times C_4$ | 2E | $ \left(\begin{array}{rr} 15 & 12 \\ 6 & 9 \end{array}\right) $ |
| $C_4^2.D_4$ | 4M | $4$ | $8$ | $C_2^2\times C_4$ | 2F | $ \left(\begin{array}{rr} 3 & 3 \\ 0 & 5 \end{array}\right) $ |
| $C_4^2.D_4$ | 4N | $4$ | $8$ | $C_2^2\times C_4$ | 2F | $ \left(\begin{array}{rr} 7 & 7 \\ 8 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 4O | $4$ | $8$ | $C_2^2\times C_4$ | 2F | $ \left(\begin{array}{rr} 5 & 5 \\ 0 & 3 \end{array}\right) $ |
| $C_4^2.D_4$ | 4P | $4$ | $8$ | $C_2^2\times C_4$ | 2F | $ \left(\begin{array}{rr} 1 & 1 \\ 8 & 7 \end{array}\right) $ |
| $C_4^2.D_4$ | 8A1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 7 & 11 \\ 14 & 13 \end{array}\right) $ |
| $C_4^2.D_4$ | 8A-1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 15 & 11 \\ 14 & 5 \end{array}\right) $ |
| $C_4^2.D_4$ | 8B1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 11 & 15 \\ 14 & 9 \end{array}\right) $ |
| $C_4^2.D_4$ | 8B-1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 3 & 15 \\ 14 & 1 \end{array}\right) $ |
| $C_4^2.D_4$ | 8C1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 1 & 13 \\ 2 & 11 \end{array}\right) $ |
| $C_4^2.D_4$ | 8C-1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 9 & 13 \\ 2 & 3 \end{array}\right) $ |
| $C_4^2.D_4$ | 8D1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 13 & 9 \\ 2 & 15 \end{array}\right) $ |
| $C_4^2.D_4$ | 8D-1 | $8$ | $4$ | $C_2^2\times C_8$ | 4H | $ \left(\begin{array}{rr} 5 & 9 \\ 2 & 7 \end{array}\right) $ |