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Results (27 matches)

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Elements of the group are displayed as matrices in $\GL_{2}(\Z/{9}\Z)$.

Group Label Order Size Centralizer Powers Representative
2P 3P
$C_3^2:D_{12}$ 1A $1$ $1$ $C_3^2:D_{12}$ 1A 1A $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $
$C_3^2:D_{12}$ 2A $2$ $1$ $C_3^2:D_{12}$ 1A 2A $ \left(\begin{array}{rr} 8 & 0 \\ 0 & 8 \end{array}\right) $
$C_3^2:D_{12}$ 2B $2$ $18$ $C_2\times C_6$ 1A 2B $ \left(\begin{array}{rr} 2 & 6 \\ 1 & 7 \end{array}\right) $
$C_3^2:D_{12}$ 2C $2$ $18$ $C_2\times C_6$ 1A 2C $ \left(\begin{array}{rr} 1 & 8 \\ 0 & 8 \end{array}\right) $
$C_3^2:D_{12}$ 3A $3$ $2$ $C_3^2:D_6$ 3A 1A $ \left(\begin{array}{rr} 4 & 0 \\ 6 & 7 \end{array}\right) $
$C_3^2:D_{12}$ 3B $3$ $2$ $C_3^2:D_6$ 3B 1A $ \left(\begin{array}{rr} 4 & 6 \\ 0 & 7 \end{array}\right) $
$C_3^2:D_{12}$ 3C $3$ $2$ $C_3^2:C_{12}$ 3C 1A $ \left(\begin{array}{rr} 7 & 3 \\ 3 & 4 \end{array}\right) $
$C_3^2:D_{12}$ 3D $3$ $4$ $C_3^2\times C_6$ 3D 1A $ \left(\begin{array}{rr} 7 & 6 \\ 3 & 4 \end{array}\right) $
$C_3^2:D_{12}$ 3E $3$ $4$ $C_3^2\times C_6$ 3E 1A $ \left(\begin{array}{rr} 7 & 3 \\ 6 & 4 \end{array}\right) $
$C_3^2:D_{12}$ 3F $3$ $4$ $C_3^2\times C_6$ 3F 1A $ \left(\begin{array}{rr} 7 & 6 \\ 6 & 4 \end{array}\right) $
$C_3^2:D_{12}$ 3G1 $3$ $4$ $C_3^2\times C_6$ 3G-1 1A $ \left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right) $
$C_3^2:D_{12}$ 3G-1 $3$ $4$ $C_3^2\times C_6$ 3G1 1A $ \left(\begin{array}{rr} 1 & 6 \\ 6 & 1 \end{array}\right) $
$C_3^2:D_{12}$ 4A $4$ $18$ $C_{12}$ 2A 4A $ \left(\begin{array}{rr} 2 & 4 \\ 1 & 7 \end{array}\right) $
$C_3^2:D_{12}$ 6A $6$ $2$ $C_3^2:D_6$ 3A 2A $ \left(\begin{array}{rr} 2 & 0 \\ 6 & 5 \end{array}\right) $
$C_3^2:D_{12}$ 6B $6$ $2$ $C_3^2:D_6$ 3B 2A $ \left(\begin{array}{rr} 2 & 6 \\ 0 & 5 \end{array}\right) $
$C_3^2:D_{12}$ 6C $6$ $2$ $C_3^2:C_{12}$ 3C 2A $ \left(\begin{array}{rr} 5 & 3 \\ 3 & 2 \end{array}\right) $
$C_3^2:D_{12}$ 6D $6$ $4$ $C_3^2\times C_6$ 3D 2A $ \left(\begin{array}{rr} 5 & 6 \\ 3 & 2 \end{array}\right) $
$C_3^2:D_{12}$ 6E $6$ $4$ $C_3^2\times C_6$ 3E 2A $ \left(\begin{array}{rr} 5 & 3 \\ 6 & 2 \end{array}\right) $
$C_3^2:D_{12}$ 6F $6$ $4$ $C_3^2\times C_6$ 3F 2A $ \left(\begin{array}{rr} 5 & 6 \\ 6 & 2 \end{array}\right) $
$C_3^2:D_{12}$ 6G1 $6$ $4$ $C_3^2\times C_6$ 3G1 2A $ \left(\begin{array}{rr} 8 & 3 \\ 3 & 8 \end{array}\right) $
$C_3^2:D_{12}$ 6G-1 $6$ $4$ $C_3^2\times C_6$ 3G-1 2A $ \left(\begin{array}{rr} 2 & 3 \\ 0 & 5 \end{array}\right) $
$C_3^2:D_{12}$ 6H1 $6$ $18$ $C_2\times C_6$ 3A 2B $ \left(\begin{array}{rr} 8 & 6 \\ 1 & 4 \end{array}\right) $
$C_3^2:D_{12}$ 6H-1 $6$ $18$ $C_2\times C_6$ 3A 2B $ \left(\begin{array}{rr} 5 & 6 \\ 1 & 1 \end{array}\right) $
$C_3^2:D_{12}$ 6I1 $6$ $18$ $C_2\times C_6$ 3B 2C $ \left(\begin{array}{rr} 7 & 8 \\ 0 & 5 \end{array}\right) $
$C_3^2:D_{12}$ 6I-1 $6$ $18$ $C_2\times C_6$ 3B 2C $ \left(\begin{array}{rr} 4 & 8 \\ 0 & 2 \end{array}\right) $
$C_3^2:D_{12}$ 12A1 $12$ $18$ $C_{12}$ 6C 4A $ \left(\begin{array}{rr} 1 & 5 \\ 8 & 5 \end{array}\right) $
$C_3^2:D_{12}$ 12A5 $12$ $18$ $C_{12}$ 6C 4A $ \left(\begin{array}{rr} 4 & 5 \\ 8 & 8 \end{array}\right) $
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