↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (36 matches)

  displayed columns for results

Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SL(2,67)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 11P 17P 67P
$\PSL(2,67)$ 1A $1$ $1$ $\PSL(2,67)$ 1A 1A 1A 1A 1A $ \left[ \left(\begin{array}{rr} 1 & 0 \\ 0 & 1 \end{array}\right) \right] $
$\PSL(2,67)$ 2A $2$ $2211$ $D_{34}$ 1A 2A 2A 2A 2A $ \left[ \left(\begin{array}{rr} 65 & 21 \\ 54 & 2 \end{array}\right) \right] $
$\PSL(2,67)$ 3A $3$ $4556$ $C_{33}$ 3A 1A 3A 3A 3A $ \left[ \left(\begin{array}{rr} 66 & 61 \\ 34 & 2 \end{array}\right) \right] $
$\PSL(2,67)$ 11A1 $11$ $4556$ $C_{33}$ 11A2 11A3 11A5 1A 11A5 $ \left[ \left(\begin{array}{rr} 27 & 8 \\ 44 & 23 \end{array}\right) \right] $
$\PSL(2,67)$ 11A2 $11$ $4556$ $C_{33}$ 11A4 11A5 11A1 1A 11A1 $ \left[ \left(\begin{array}{rr} 9 & 65 \\ 56 & 10 \end{array}\right) \right] $
$\PSL(2,67)$ 11A3 $11$ $4556$ $C_{33}$ 11A5 11A2 11A4 1A 11A4 $ \left[ \left(\begin{array}{rr} 46 & 41 \\ 58 & 59 \end{array}\right) \right] $
$\PSL(2,67)$ 11A4 $11$ $4556$ $C_{33}$ 11A3 11A1 11A2 1A 11A2 $ \left[ \left(\begin{array}{rr} 31 & 38 \\ 8 & 12 \end{array}\right) \right] $
$\PSL(2,67)$ 11A5 $11$ $4556$ $C_{33}$ 11A1 11A4 11A3 1A 11A3 $ \left[ \left(\begin{array}{rr} 30 & 50 \\ 7 & 5 \end{array}\right) \right] $
$\PSL(2,67)$ 17A1 $17$ $4422$ $C_{34}$ 17A2 17A3 17A5 17A6 1A $ \left[ \left(\begin{array}{rr} 28 & 52 \\ 38 & 6 \end{array}\right) \right] $
$\PSL(2,67)$ 17A2 $17$ $4422$ $C_{34}$ 17A4 17A6 17A7 17A5 1A $ \left[ \left(\begin{array}{rr} 13 & 26 \\ 19 & 2 \end{array}\right) \right] $
$\PSL(2,67)$ 17A3 $17$ $4422$ $C_{34}$ 17A6 17A8 17A2 17A1 1A $ \left[ \left(\begin{array}{rr} 12 & 28 \\ 5 & 62 \end{array}\right) \right] $
$\PSL(2,67)$ 17A4 $17$ $4422$ $C_{34}$ 17A8 17A5 17A3 17A7 1A $ \left[ \left(\begin{array}{rr} 60 & 55 \\ 17 & 29 \end{array}\right) \right] $
$\PSL(2,67)$ 17A5 $17$ $4422$ $C_{34}$ 17A7 17A2 17A8 17A4 1A $ \left[ \left(\begin{array}{rr} 49 & 34 \\ 30 & 14 \end{array}\right) \right] $
$\PSL(2,67)$ 17A6 $17$ $4422$ $C_{34}$ 17A5 17A1 17A4 17A2 1A $ \left[ \left(\begin{array}{rr} 51 & 5 \\ 32 & 36 \end{array}\right) \right] $
$\PSL(2,67)$ 17A7 $17$ $4422$ $C_{34}$ 17A3 17A4 17A1 17A8 1A $ \left[ \left(\begin{array}{rr} 10 & 2 \\ 53 & 4 \end{array}\right) \right] $
$\PSL(2,67)$ 17A8 $17$ $4422$ $C_{34}$ 17A1 17A7 17A6 17A3 1A $ \left[ \left(\begin{array}{rr} 46 & 4 \\ 39 & 34 \end{array}\right) \right] $
$\PSL(2,67)$ 33A1 $33$ $4556$ $C_{33}$ 33A2 11A1 33A5 3A 33A16 $ \left[ \left(\begin{array}{rr} 43 & 14 \\ 10 & 36 \end{array}\right) \right] $
$\PSL(2,67)$ 33A2 $33$ $4556$ $C_{33}$ 33A4 11A2 33A10 3A 33A1 $ \left[ \left(\begin{array}{rr} 46 & 34 \\ 53 & 29 \end{array}\right) \right] $
$\PSL(2,67)$ 33A4 $33$ $4556$ $C_{33}$ 33A8 11A4 33A13 3A 33A2 $ \left[ \left(\begin{array}{rr} 35 & 63 \\ 45 & 37 \end{array}\right) \right] $
$\PSL(2,67)$ 33A5 $33$ $4556$ $C_{33}$ 33A10 11A5 33A8 3A 33A14 $ \left[ \left(\begin{array}{rr} 9 & 56 \\ 40 & 48 \end{array}\right) \right] $
$\PSL(2,67)$ 33A7 $33$ $4556$ $C_{33}$ 33A14 11A4 33A2 3A 33A13 $ \left[ \left(\begin{array}{rr} 35 & 13 \\ 38 & 62 \end{array}\right) \right] $
$\PSL(2,67)$ 33A8 $33$ $4556$ $C_{33}$ 33A16 11A3 33A7 3A 33A4 $ \left[ \left(\begin{array}{rr} 40 & 47 \\ 24 & 50 \end{array}\right) \right] $
$\PSL(2,67)$ 33A10 $33$ $4556$ $C_{33}$ 33A13 11A1 33A16 3A 33A5 $ \left[ \left(\begin{array}{rr} 43 & 43 \\ 2 & 55 \end{array}\right) \right] $
$\PSL(2,67)$ 33A13 $33$ $4556$ $C_{33}$ 33A7 11A2 33A1 3A 33A10 $ \left[ \left(\begin{array}{rr} 29 & 7 \\ 5 & 59 \end{array}\right) \right] $
$\PSL(2,67)$ 33A14 $33$ $4556$ $C_{33}$ 33A5 11A3 33A4 3A 33A7 $ \left[ \left(\begin{array}{rr} 23 & 12 \\ 66 & 17 \end{array}\right) \right] $
$\PSL(2,67)$ 33A16 $33$ $4556$ $C_{33}$ 33A1 11A5 33A14 3A 33A8 $ \left[ \left(\begin{array}{rr} 19 & 58 \\ 51 & 57 \end{array}\right) \right] $
$\PSL(2,67)$ 34A1 $34$ $4422$ $C_{34}$ 17A1 34A3 34A5 34A11 2A $ \left[ \left(\begin{array}{rr} 16 & 31 \\ 51 & 57 \end{array}\right) \right] $
$\PSL(2,67)$ 34A3 $34$ $4422$ $C_{34}$ 17A3 34A9 34A15 34A1 2A $ \left[ \left(\begin{array}{rr} 18 & 13 \\ 43 & 46 \end{array}\right) \right] $
$\PSL(2,67)$ 34A5 $34$ $4422$ $C_{34}$ 17A5 34A15 34A9 34A13 2A $ \left[ \left(\begin{array}{rr} 7 & 58 \\ 63 & 34 \end{array}\right) \right] $
$\PSL(2,67)$ 34A7 $34$ $4422$ $C_{34}$ 17A7 34A13 34A1 34A9 2A $ \left[ \left(\begin{array}{rr} 55 & 42 \\ 41 & 63 \end{array}\right) \right] $
$\PSL(2,67)$ 34A9 $34$ $4422$ $C_{34}$ 17A8 34A7 34A11 34A3 2A $ \left[ \left(\begin{array}{rr} 13 & 37 \\ 9 & 36 \end{array}\right) \right] $
$\PSL(2,67)$ 34A11 $34$ $4422$ $C_{34}$ 17A6 34A1 34A13 34A15 2A $ \left[ \left(\begin{array}{rr} 39 & 40 \\ 55 & 53 \end{array}\right) \right] $
$\PSL(2,67)$ 34A13 $34$ $4422$ $C_{34}$ 17A4 34A5 34A3 34A7 2A $ \left[ \left(\begin{array}{rr} 1 & 10 \\ 64 & 38 \end{array}\right) \right] $
$\PSL(2,67)$ 34A15 $34$ $4422$ $C_{34}$ 17A2 34A11 34A7 34A5 2A $ \left[ \left(\begin{array}{rr} 6 & 45 \\ 20 & 5 \end{array}\right) \right] $
$\PSL(2,67)$ 67A1 $67$ $2244$ $C_{67}$ 67A-1 67A-1 67A-1 67A-1 67A1 $ \left[ \left(\begin{array}{rr} 14 & 57 \\ 56 & 51 \end{array}\right) \right] $
$\PSL(2,67)$ 67A-1 $67$ $2244$ $C_{67}$ 67A1 67A1 67A1 67A1 67A-1 $ \left[ \left(\begin{array}{rr} 16 & 57 \\ 56 & 53 \end{array}\right) \right] $
  displayed columns for results