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Results (28 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 | ||||||
$(C_2^2\times C_8):C_2$ | 1A | $1$ | $1$ | $(C_2^2\times C_8):C_2$ | 1A | $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2A | $2$ | $1$ | $(C_2^2\times C_8):C_2$ | 1A | $ \left(\begin{array}{rr} 9 & 0 \\ 0 & 9 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2B | $2$ | $1$ | $(C_2^2\times C_8):C_2$ | 1A | $ \left(\begin{array}{rr} 9 & 8 \\ 0 & 9 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2C | $2$ | $1$ | $(C_2^2\times C_8):C_2$ | 1A | $ \left(\begin{array}{rr} 1 & 8 \\ 0 & 1 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2D | $2$ | $2$ | $C_2^2\times C_8$ | 1A | $ \left(\begin{array}{rr} 15 & 8 \\ 0 & 7 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2E | $2$ | $2$ | $C_2^2\times C_8$ | 1A | $ \left(\begin{array}{rr} 7 & 8 \\ 0 & 15 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2F | $2$ | $4$ | $C_2^2\times C_4$ | 1A | $ \left(\begin{array}{rr} 5 & 5 \\ 8 & 11 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 2G | $2$ | $4$ | $C_2^2\times C_4$ | 1A | $ \left(\begin{array}{rr} 11 & 15 \\ 8 & 5 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4A1 | $4$ | $1$ | $(C_2^2\times C_8):C_2$ | 2C | $ \left(\begin{array}{rr} 1 & 4 \\ 0 & 9 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4A-1 | $4$ | $1$ | $(C_2^2\times C_8):C_2$ | 2C | $ \left(\begin{array}{rr} 1 & 12 \\ 0 & 9 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4B1 | $4$ | $1$ | $(C_2^2\times C_8):C_2$ | 2C | $ \left(\begin{array}{rr} 9 & 4 \\ 0 & 1 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4B-1 | $4$ | $1$ | $(C_2^2\times C_8):C_2$ | 2C | $ \left(\begin{array}{rr} 9 & 12 \\ 0 & 1 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4C | $4$ | $2$ | $C_2^2\times C_8$ | 2C | $ \left(\begin{array}{rr} 15 & 4 \\ 0 & 15 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4D | $4$ | $2$ | $C_2^2\times C_8$ | 2C | $ \left(\begin{array}{rr} 7 & 4 \\ 0 & 7 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4E | $4$ | $4$ | $C_2^2\times C_4$ | 2C | $ \left(\begin{array}{rr} 5 & 1 \\ 8 & 3 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 4F | $4$ | $4$ | $C_2^2\times C_4$ | 2C | $ \left(\begin{array}{rr} 11 & 11 \\ 8 & 13 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8A1 | $8$ | $2$ | $C_2^2\times C_8$ | 4A1 | $ \left(\begin{array}{rr} 7 & 10 \\ 8 & 11 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8A-1 | $8$ | $2$ | $C_2^2\times C_8$ | 4A-1 | $ \left(\begin{array}{rr} 7 & 14 \\ 8 & 3 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8A3 | $8$ | $2$ | $C_2^2\times C_8$ | 4A-1 | $ \left(\begin{array}{rr} 7 & 6 \\ 8 & 3 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8A-3 | $8$ | $2$ | $C_2^2\times C_8$ | 4A1 | $ \left(\begin{array}{rr} 7 & 2 \\ 8 & 11 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8B1 | $8$ | $2$ | $C_2^2\times C_8$ | 4A1 | $ \left(\begin{array}{rr} 9 & 14 \\ 8 & 13 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8B-1 | $8$ | $2$ | $C_2^2\times C_8$ | 4A-1 | $ \left(\begin{array}{rr} 9 & 10 \\ 8 & 5 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8B3 | $8$ | $2$ | $C_2^2\times C_8$ | 4A-1 | $ \left(\begin{array}{rr} 9 & 2 \\ 8 & 5 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8B-3 | $8$ | $2$ | $C_2^2\times C_8$ | 4A1 | $ \left(\begin{array}{rr} 9 & 6 \\ 8 & 13 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8C1 | $8$ | $4$ | $C_2\times C_8$ | 4B1 | $ \left(\begin{array}{rr} 11 & 9 \\ 0 & 9 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8C-1 | $8$ | $4$ | $C_2\times C_8$ | 4B-1 | $ \left(\begin{array}{rr} 11 & 13 \\ 0 & 1 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8D1 | $8$ | $4$ | $C_2\times C_8$ | 4B-1 | $ \left(\begin{array}{rr} 5 & 7 \\ 0 & 15 \end{array}\right) $ |
$(C_2^2\times C_8):C_2$ | 8D-1 | $8$ | $4$ | $C_2\times C_8$ | 4B1 | $ \left(\begin{array}{rr} 5 & 3 \\ 0 & 7 \end{array}\right) $ |