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Elements of the group are displayed as matrices in $\SL(2,11)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 11P
$\SL(2,11)$ 1A $1$ $1$ $\SL(2,11)$ 1A 1A 1A 1A $ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) $
$\SL(2,11)$ 2A $2$ $1$ $\SL(2,11)$ 1A 2A 2A 2A $ \left(\begin{array}{rr} 10 & 0 \\ 0 & 10 \end{array}\right) $
$\SL(2,11)$ 3A $3$ $110$ $C_{12}$ 3A 1A 3A 3A $ \left(\begin{array}{rr} 6 & 8 \\ 7 & 4 \end{array}\right) $
$\SL(2,11)$ 4A $4$ $110$ $C_{12}$ 2A 4A 4A 4A $ \left(\begin{array}{rr} 7 & 1 \\ 5 & 4 \end{array}\right) $
$\SL(2,11)$ 5A1 $5$ $132$ $C_{10}$ 5A2 5A2 1A 5A1 $ \left(\begin{array}{rr} 9 & 0 \\ 0 & 5 \end{array}\right) $
$\SL(2,11)$ 5A2 $5$ $132$ $C_{10}$ 5A1 5A1 1A 5A2 $ \left(\begin{array}{rr} 4 & 0 \\ 0 & 3 \end{array}\right) $
$\SL(2,11)$ 6A $6$ $110$ $C_{12}$ 3A 2A 6A 6A $ \left(\begin{array}{rr} 7 & 8 \\ 7 & 5 \end{array}\right) $
$\SL(2,11)$ 10A1 $10$ $132$ $C_{10}$ 5A1 10A3 2A 10A1 $ \left(\begin{array}{rr} 8 & 0 \\ 0 & 7 \end{array}\right) $
$\SL(2,11)$ 10A3 $10$ $132$ $C_{10}$ 5A2 10A1 2A 10A3 $ \left(\begin{array}{rr} 6 & 0 \\ 0 & 2 \end{array}\right) $
$\SL(2,11)$ 11A1 $11$ $60$ $C_{22}$ 11A-1 11A1 11A1 1A $ \left(\begin{array}{rr} 1 & 7 \\ 0 & 1 \end{array}\right) $
$\SL(2,11)$ 11A-1 $11$ $60$ $C_{22}$ 11A1 11A-1 11A-1 1A $ \left(\begin{array}{rr} 1 & 4 \\ 0 & 1 \end{array}\right) $
$\SL(2,11)$ 12A1 $12$ $110$ $C_{12}$ 6A 4A 12A5 12A1 $ \left(\begin{array}{rr} 6 & 6 \\ 8 & 10 \end{array}\right) $
$\SL(2,11)$ 12A5 $12$ $110$ $C_{12}$ 6A 4A 12A1 12A5 $ \left(\begin{array}{rr} 1 & 6 \\ 8 & 5 \end{array}\right) $
$\SL(2,11)$ 22A1 $22$ $60$ $C_{22}$ 11A1 22A1 22A1 2A $ \left(\begin{array}{rr} 10 & 2 \\ 0 & 10 \end{array}\right) $
$\SL(2,11)$ 22A-1 $22$ $60$ $C_{22}$ 11A-1 22A-1 22A-1 2A $ \left(\begin{array}{rr} 10 & 9 \\ 0 & 10 \end{array}\right) $
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