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Results (17 matches)

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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,29)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 29P
$\PSL(2,29)$ 1A $1$ $1$ $\PSL(2,29)$ 1A 1A 1A 1A 1A $ \left[ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) \right] $
$\PSL(2,29)$ 2A $2$ $435$ $D_{14}$ 1A 2A 2A 2A 2A $ \left[ \left(\begin{array}{rr} 18 & 1 \\ 23 & 11 \end{array}\right) \right] $
$\PSL(2,29)$ 3A $3$ $812$ $C_{15}$ 3A 1A 3A 3A 3A $ \left[ \left(\begin{array}{rr} 8 & 14 \\ 27 & 22 \end{array}\right) \right] $
$\PSL(2,29)$ 5A1 $5$ $812$ $C_{15}$ 5A2 5A2 1A 5A2 5A1 $ \left[ \left(\begin{array}{rr} 23 & 7 \\ 28 & 1 \end{array}\right) \right] $
$\PSL(2,29)$ 5A2 $5$ $812$ $C_{15}$ 5A1 5A1 1A 5A1 5A2 $ \left[ \left(\begin{array}{rr} 0 & 23 \\ 5 & 23 \end{array}\right) \right] $
$\PSL(2,29)$ 7A1 $7$ $870$ $C_{14}$ 7A2 7A3 7A2 1A 7A1 $ \left[ \left(\begin{array}{rr} 14 & 21 \\ 19 & 12 \end{array}\right) \right] $
$\PSL(2,29)$ 7A2 $7$ $870$ $C_{14}$ 7A3 7A1 7A3 1A 7A2 $ \left[ \left(\begin{array}{rr} 14 & 5 \\ 28 & 8 \end{array}\right) \right] $
$\PSL(2,29)$ 7A3 $7$ $870$ $C_{14}$ 7A1 7A2 7A1 1A 7A3 $ \left[ \left(\begin{array}{rr} 28 & 23 \\ 7 & 12 \end{array}\right) \right] $
$\PSL(2,29)$ 14A1 $14$ $870$ $C_{14}$ 7A1 14A3 14A5 2A 14A1 $ \left[ \left(\begin{array}{rr} 6 & 20 \\ 25 & 11 \end{array}\right) \right] $
$\PSL(2,29)$ 14A3 $14$ $870$ $C_{14}$ 7A3 14A5 14A1 2A 14A3 $ \left[ \left(\begin{array}{rr} 0 & 18 \\ 8 & 19 \end{array}\right) \right] $
$\PSL(2,29)$ 14A5 $14$ $870$ $C_{14}$ 7A2 14A1 14A3 2A 14A5 $ \left[ \left(\begin{array}{rr} 23 & 13 \\ 9 & 19 \end{array}\right) \right] $
$\PSL(2,29)$ 15A1 $15$ $812$ $C_{15}$ 15A2 5A1 3A 15A7 15A1 $ \left[ \left(\begin{array}{rr} 12 & 19 \\ 18 & 2 \end{array}\right) \right] $
$\PSL(2,29)$ 15A2 $15$ $812$ $C_{15}$ 15A4 5A2 3A 15A1 15A2 $ \left[ \left(\begin{array}{rr} 22 & 5 \\ 20 & 27 \end{array}\right) \right] $
$\PSL(2,29)$ 15A4 $15$ $812$ $C_{15}$ 15A7 5A1 3A 15A2 15A4 $ \left[ \left(\begin{array}{rr} 4 & 13 \\ 23 & 17 \end{array}\right) \right] $
$\PSL(2,29)$ 15A7 $15$ $812$ $C_{15}$ 15A1 5A2 3A 15A4 15A7 $ \left[ \left(\begin{array}{rr} 21 & 12 \\ 19 & 4 \end{array}\right) \right] $
$\PSL(2,29)$ 29A1 $29$ $420$ $C_{29}$ 29A2 29A2 29A1 29A1 1A $ \left[ \left(\begin{array}{rr} 23 & 28 \\ 25 & 4 \end{array}\right) \right] $
$\PSL(2,29)$ 29A2 $29$ $420$ $C_{29}$ 29A1 29A1 29A2 29A2 1A $ \left[ \left(\begin{array}{rr} 18 & 27 \\ 21 & 9 \end{array}\right) \right] $
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