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Elements 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) $
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