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Results (1-50 of 144 matches)

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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\SOPlus(8,3)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 13P
$\PSOPlus(8,3)$ 1A $1$ $1$ not computed 1A 1A 1A 1A 1A $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2A $2$ $189540$ not computed 1A 2A 2A 2A 2A $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 2 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 1 & 2 & 2 & 0 & 0 & 2 & 0 & 2 \\ 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 2 & 1 & 2 & 1 & 1 \\ 0 & 0 & 0 & 0 & 1 & 2 & 2 & 1 \\ 0 & 0 & 2 & 2 & 2 & 1 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2B $2$ $189540$ not computed 1A 2B 2B 2B 2B $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 0 & 2 & 0 & 1 & 1 \\ 0 & 0 & 2 & 0 & 2 & 0 & 1 & 1 \\ 1 & 0 & 0 & 0 & 2 & 1 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 2 & 2 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 0 & 2 & 2 \\ 0 & 1 & 1 & 0 & 1 & 0 & 0 & 2 \\ 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2C $2$ $189540$ not computed 1A 2C 2C 2C 2C $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 0 & 0 & 2 & 0 & 1 & 0 & 0 \\ 2 & 0 & 2 & 1 & 2 & 2 & 0 & 0 \\ 1 & 1 & 2 & 0 & 1 & 0 & 1 & 2 \\ 0 & 0 & 0 & 1 & 0 & 2 & 1 & 0 \\ 0 & 0 & 1 & 0 & 2 & 0 & 2 & 1 \\ 1 & 0 & 0 & 2 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 2 & 2 & 0 & 0 & 2 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2D $2$ $408240$ not computed 1A 2D 2D 2D 2D $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 1 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 2 & 2 \\ 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 1 & 1 & 1 & 0 & 0 & 1 \\ 2 & 1 & 1 & 1 & 0 & 1 & 0 & 1 \\ 2 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 2 & 2 & 2 & 0 & 0 & 0 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2E $2$ $9552816$ not computed 1A 2E 2E 2E 2E $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 0 & 0 & 0 & 2 & 0 & 0 \\ 1 & 1 & 1 & 2 & 1 & 2 & 2 & 0 \\ 2 & 2 & 2 & 1 & 1 & 0 & 2 & 2 \\ 0 & 0 & 2 & 1 & 1 & 1 & 1 & 0 \\ 0 & 2 & 1 & 1 & 1 & 1 & 2 & 0 \\ 2 & 0 & 2 & 1 & 2 & 2 & 1 & 0 \\ 0 & 0 & 0 & 2 & 0 & 2 & 1 & 2 \\ 1 & 0 & 2 & 0 & 0 & 2 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 2F $2$ $14926275$ not computed 1A 2F 2F 2F 2F $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 0 & 2 & 0 & 1 & 2 & 0 & 1 \\ 1 & 0 & 0 & 1 & 0 & 2 & 2 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 & 2 & 2 \\ 0 & 0 & 2 & 1 & 1 & 1 & 0 & 1 \\ 1 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 0 & 0 & 1 & 0 & 2 & 0 & 0 & 2 \\ 2 & 2 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 2 & 0 & 1 & 0 & 0 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3A $3$ $72800$ not computed 3A 1A 3A 3A 3A $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 0 & 1 & 1 & 1 & 2 & 2 & 0 \\ 0 & 2 & 1 & 0 & 1 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 2 & 2 & 2 \\ 0 & 0 & 2 & 0 & 1 & 0 & 0 & 2 \\ 0 & 0 & 0 & 1 & 0 & 1 & 2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3B $3$ $262080$ not computed 3B 1A 3B 3B 3B $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 2 & 0 & 2 & 1 & 2 \\ 1 & 0 & 2 & 1 & 0 & 1 & 2 & 1 \\ 2 & 2 & 0 & 2 & 0 & 2 & 1 & 2 \\ 2 & 0 & 2 & 1 & 2 & 1 & 2 & 1 \\ 0 & 2 & 2 & 0 & 0 & 1 & 2 & 1 \\ 1 & 1 & 2 & 1 & 0 & 0 & 2 & 1 \\ 1 & 2 & 0 & 1 & 2 & 0 & 2 & 0 \\ 0 & 2 & 2 & 0 & 1 & 1 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3C $3$ $262080$ not computed 3C 1A 3C 3C 3C $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 2 & 2 & 2 & 2 & 2 & 1 \\ 2 & 0 & 1 & 1 & 1 & 1 & 1 & 2 \\ 2 & 2 & 0 & 0 & 2 & 1 & 0 & 0 \\ 2 & 0 & 1 & 1 & 0 & 1 & 2 & 1 \\ 2 & 1 & 1 & 1 & 0 & 1 & 1 & 2 \\ 2 & 2 & 1 & 0 & 2 & 0 & 0 & 0 \\ 2 & 0 & 1 & 2 & 0 & 1 & 1 & 1 \\ 1 & 1 & 2 & 0 & 1 & 2 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3D $3$ $524160$ not computed 3D 1A 3D 3D 3D $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 2 & 1 & 0 & 1 & 2 & 0 \\ 0 & 1 & 0 & 0 & 2 & 1 & 0 & 1 \\ 0 & 0 & 1 & 0 & 1 & 0 & 2 & 2 \\ 2 & 2 & 2 & 2 & 0 & 2 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 \\ 0 & 0 & 0 & 0 & 1 & 1 & 0 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3E $3$ $524160$ not computed 3E 1A 3E 3E 3E $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 2 & 2 & 2 & 1 & 0 & 0 \\ 2 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 2 & 0 & 0 & 2 & 1 & 0 & 0 & 2 \\ 1 & 0 & 1 & 2 & 0 & 2 & 2 & 1 \\ 2 & 2 & 1 & 0 & 0 & 1 & 0 & 1 \\ 1 & 2 & 0 & 2 & 2 & 2 & 2 & 1 \\ 1 & 0 & 1 & 1 & 0 & 0 & 2 & 0 \\ 0 & 2 & 2 & 1 & 2 & 1 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3F $3$ $20966400$ not computed 3F 1A 3F 3F 3F $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 1 & 0 & 1 & 0 & 2 & 1 \\ 2 & 2 & 1 & 0 & 0 & 1 & 0 & 1 \\ 2 & 2 & 1 & 0 & 0 & 1 & 2 & 2 \\ 1 & 1 & 1 & 2 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 \\ 0 & 2 & 1 & 0 & 0 & 2 & 2 & 1 \\ 2 & 0 & 1 & 0 & 2 & 1 & 2 & 1 \\ 1 & 1 & 1 & 0 & 1 & 2 & 1 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3G $3$ $20966400$ not computed 3G 1A 3G 3G 3G $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 0 & 1 & 2 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 0 & 0 & 1 \\ 0 & 1 & 0 & 2 & 0 & 1 & 0 & 2 \\ 2 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 2 & 2 & 1 & 1 & 2 \\ 0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3H $3$ $94348800$ not computed 3H 1A 3H 3H 3H $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 2 & 2 & 0 & 2 & 1 & 2 \\ 2 & 1 & 0 & 0 & 1 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 0 & 2 & 0 & 1 \\ 0 & 2 & 1 & 1 & 1 & 2 & 0 & 1 \\ 1 & 2 & 1 & 2 & 0 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 & 2 & 1 & 0 & 0 \\ 2 & 1 & 2 & 0 & 0 & 2 & 2 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 3I $3$ $377395200$ not computed 3I 1A 3I 3I 3I $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 1 & 0 & 1 & 1 & 2 & 2 & 0 \\ 2 & 1 & 0 & 0 & 0 & 1 & 2 & 2 \\ 1 & 0 & 2 & 1 & 1 & 0 & 1 & 2 \\ 0 & 0 & 0 & 1 & 0 & 2 & 1 & 1 \\ 1 & 2 & 0 & 0 & 1 & 1 & 2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 2 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4A $4$ $379080$ not computed 2B 4A 4A 4A 4A $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 0 & 0 & 1 & 2 & 2 \\ 1 & 2 & 0 & 0 & 0 & 1 & 2 & 2 \\ 2 & 1 & 0 & 0 & 2 & 2 & 2 & 2 \\ 0 & 1 & 1 & 1 & 1 & 0 & 2 & 2 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 1 & 2 & 2 \\ 2 & 2 & 0 & 0 & 0 & 2 & 2 & 1 \\ 2 & 1 & 2 & 0 & 2 & 2 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4B $4$ $204703200$ not computed 2B 4B 4B 4B 4B $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 1 & 1 & 2 & 0 & 0 \\ 2 & 0 & 0 & 0 & 1 & 2 & 1 & 0 \\ 2 & 0 & 2 & 0 & 0 & 2 & 0 & 1 \\ 2 & 2 & 1 & 1 & 1 & 2 & 1 & 2 \\ 2 & 0 & 2 & 1 & 0 & 1 & 1 & 2 \\ 1 & 2 & 2 & 2 & 1 & 2 & 2 & 2 \\ 0 & 2 & 2 & 1 & 0 & 1 & 2 & 0 \\ 2 & 1 & 0 & 2 & 0 & 2 & 0 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4C $4$ $358230600$ not computed 2F 4C 4C 4C 4C $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 1 & 1 & 2 & 1 & 2 \\ 1 & 0 & 2 & 1 & 1 & 0 & 1 & 2 \\ 1 & 2 & 1 & 1 & 0 & 2 & 2 & 0 \\ 2 & 0 & 1 & 1 & 2 & 1 & 2 & 0 \\ 1 & 2 & 0 & 1 & 1 & 2 & 0 & 2 \\ 1 & 0 & 2 & 0 & 1 & 0 & 1 & 0 \\ 2 & 1 & 0 & 2 & 0 & 1 & 1 & 1 \\ 1 & 0 & 2 & 0 & 1 & 2 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4D $4$ $1074691800$ not computed 2B 4D 4D 4D 4D $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 0 & 2 & 0 & 2 & 0 \\ 1 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 2 & 2 & 1 & 2 & 0 & 1 & 1 \\ 0 & 0 & 1 & 0 & 1 & 0 & 2 & 2 \\ 1 & 0 & 0 & 1 & 0 & 1 & 2 & 0 \\ 0 & 1 & 2 & 0 & 2 & 1 & 1 & 0 \\ 0 & 1 & 1 & 0 & 1 & 1 & 2 & 2 \\ 0 & 2 & 2 & 1 & 2 & 1 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4E $4$ $1719506880$ not computed 2A 4E 4E 4E 4E $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 2 & 0 & 1 & 0 & 0 & 0 \\ 1 & 2 & 2 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 1 & 0 & 0 & 0 \\ 2 & 0 & 0 & 2 & 2 & 1 & 0 & 1 \\ 1 & 0 & 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 & 2 & 2 \\ 2 & 0 & 2 & 0 & 2 & 1 & 0 & 2 \\ 1 & 0 & 1 & 1 & 1 & 2 & 1 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4F $4$ $1719506880$ not computed 2C 4F 4F 4F 4F $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 0 & 1 & 0 & 2 & 1 & 2 \\ 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 \\ 1 & 0 & 2 & 1 & 2 & 1 & 0 & 2 \\ 0 & 2 & 2 & 2 & 1 & 0 & 2 & 2 \\ 0 & 2 & 2 & 1 & 2 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 & 2 & 2 & 0 & 1 \\ 0 & 2 & 0 & 2 & 0 & 0 & 0 & 2 \\ 1 & 2 & 0 & 1 & 1 & 2 & 1 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4G $4$ $1719506880$ not computed 2B 4G 4G 4G 4G $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 2 & 0 & 2 & 0 & 2 & 1 \\ 1 & 0 & 1 & 1 & 1 & 1 & 1 & 1 \\ 0 & 1 & 1 & 2 & 2 & 2 & 0 & 1 \\ 0 & 0 & 2 & 1 & 1 & 1 & 0 & 1 \\ 2 & 0 & 0 & 2 & 2 & 2 & 0 & 1 \\ 2 & 2 & 0 & 2 & 2 & 0 & 0 & 1 \\ 1 & 1 & 1 & 0 & 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 & 2 & 2 & 1 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4H $4$ $3224075400$ not computed 2F 4H 4H 4H 4H $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 0 & 0 & 1 & 1 & 2 & 0 \\ 2 & 2 & 1 & 1 & 0 & 2 & 1 & 1 \\ 0 & 2 & 1 & 1 & 2 & 1 & 0 & 1 \\ 2 & 0 & 0 & 0 & 0 & 2 & 1 & 0 \\ 2 & 2 & 0 & 2 & 2 & 1 & 0 & 1 \\ 2 & 2 & 0 & 2 & 1 & 0 & 0 & 2 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 1 \\ 2 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 4I $4$ $12896301600$ not computed 2F 4I 4I 4I 4I $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 1 & 2 & 1 & 2 & 1 & 0 \\ 1 & 1 & 0 & 2 & 0 & 0 & 1 & 2 \\ 1 & 1 & 0 & 2 & 2 & 1 & 1 & 1 \\ 2 & 2 & 1 & 2 & 2 & 1 & 0 & 2 \\ 0 & 2 & 0 & 0 & 0 & 2 & 0 & 1 \\ 0 & 2 & 1 & 0 & 1 & 2 & 2 & 0 \\ 1 & 2 & 1 & 1 & 2 & 2 & 0 & 2 \\ 1 & 2 & 0 & 2 & 1 & 1 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 5A $5$ $2751211008$ not computed 5A 5A 1A 5A 5A $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 2 & 2 & 1 & 2 & 1 & 2 \\ 1 & 0 & 0 & 0 & 0 & 2 & 0 & 0 \\ 2 & 0 & 2 & 0 & 0 & 1 & 2 & 2 \\ 2 & 2 & 1 & 1 & 1 & 2 & 2 & 1 \\ 2 & 2 & 0 & 2 & 0 & 2 & 0 & 0 \\ 2 & 1 & 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 2 & 2 & 1 & 2 & 0 & 2 & 0 \\ 2 & 1 & 0 & 2 & 0 & 0 & 0 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 5B $5$ $2751211008$ not computed 5B 5B 1A 5B 5B $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 2 & 0 & 1 & 0 & 0 & 0 \\ 2 & 0 & 1 & 0 & 2 & 0 & 0 & 0 \\ 2 & 1 & 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 & 2 & 2 \\ 2 & 1 & 2 & 1 & 0 & 0 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 5C $5$ $2751211008$ not computed 5C 5C 1A 5C 5C $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 2 & 0 & 1 & 2 & 0 & 0 & 2 \\ 1 & 0 & 2 & 2 & 2 & 0 & 0 & 2 \\ 0 & 1 & 1 & 0 & 0 & 1 & 2 & 1 \\ 1 & 1 & 0 & 2 & 1 & 2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 1 & 2 & 2 & 1 \\ 2 & 0 & 1 & 2 & 1 & 2 & 2 & 1 \\ 1 & 2 & 1 & 0 & 1 & 2 & 1 & 2 \\ 1 & 1 & 2 & 1 & 0 & 0 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6A $6$ $106142400$ not computed 3A 2A 6A 6A 6A $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 0 & 2 & 2 & 0 & 2 & 2 & 1 \\ 2 & 2 & 2 & 1 & 1 & 2 & 1 & 1 \\ 2 & 2 & 1 & 2 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 0 & 2 & 1 & 0 & 2 \\ 1 & 2 & 0 & 1 & 2 & 2 & 0 & 1 \\ 2 & 2 & 2 & 2 & 1 & 0 & 2 & 0 \\ 1 & 0 & 1 & 1 & 2 & 1 & 1 & 0 \\ 0 & 2 & 1 & 2 & 0 & 1 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6B $6$ $106142400$ not computed 3A 2B 6B 6B 6B $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 2 & 1 & 1 & 1 & 2 & 2 \\ 2 & 1 & 1 & 1 & 0 & 2 & 2 & 1 \\ 2 & 2 & 0 & 0 & 2 & 1 & 0 & 0 \\ 2 & 1 & 2 & 1 & 2 & 2 & 2 & 2 \\ 2 & 0 & 0 & 1 & 1 & 0 & 1 & 1 \\ 0 & 0 & 1 & 0 & 2 & 0 & 1 & 2 \\ 1 & 0 & 0 & 0 & 2 & 1 & 0 & 0 \\ 1 & 2 & 0 & 2 & 0 & 1 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6C $6$ $106142400$ not computed 3A 2C 6C 6C 6C $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 1 & 0 & 0 & 2 & 2 & 2 \\ 0 & 0 & 2 & 1 & 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 & 1 & 0 & 2 \\ 0 & 1 & 1 & 1 & 1 & 2 & 0 & 1 \\ 0 & 2 & 1 & 1 & 0 & 2 & 2 & 2 \\ 1 & 1 & 1 & 1 & 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 0 & 1 & 2 & 2 & 0 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6D $6$ $424569600$ not computed 3A 2D 6D 6D 6D $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 1 & 2 & 0 & 2 & 2 & 2 & 0 \\ 0 & 0 & 0 & 2 & 0 & 2 & 1 & 0 \\ 1 & 1 & 2 & 2 & 2 & 0 & 1 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ 2 & 0 & 2 & 2 & 1 & 1 & 1 & 1 \\ 1 & 2 & 2 & 2 & 0 & 2 & 0 & 2 \\ 1 & 0 & 2 & 1 & 0 & 2 & 0 & 2 \\ 2 & 1 & 1 & 0 & 0 & 2 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6E $6$ $477640800$ not computed 3A 2F 6E 6E 6E $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 1 & 0 & 1 & 1 & 2 & 0 \\ 0 & 0 & 2 & 0 & 2 & 0 & 2 & 1 \\ 0 & 1 & 2 & 0 & 0 & 2 & 2 & 2 \\ 2 & 0 & 2 & 2 & 1 & 0 & 1 & 2 \\ 2 & 0 & 0 & 0 & 1 & 2 & 1 & 0 \\ 2 & 0 & 2 & 2 & 0 & 0 & 2 & 0 \\ 0 & 2 & 1 & 2 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 1 & 2 & 0 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6F $6$ $636854400$ not computed 3B 2B 6F 6F 6F $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 2 & 0 & 0 & 2 & 2 & 2 \\ 2 & 2 & 0 & 2 & 1 & 0 & 1 & 1 \\ 0 & 2 & 0 & 0 & 0 & 2 & 0 & 2 \\ 0 & 1 & 0 & 2 & 2 & 1 & 2 & 2 \\ 2 & 0 & 2 & 2 & 0 & 2 & 2 & 1 \\ 1 & 1 & 0 & 1 & 2 & 2 & 2 & 2 \\ 2 & 1 & 0 & 2 & 2 & 0 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6G $6$ $636854400$ not computed 3C 2B 6G 6G 6G $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 0 & 2 & 1 & 0 & 1 & 2 \\ 0 & 0 & 0 & 2 & 0 & 0 & 1 & 2 \\ 0 & 0 & 0 & 2 & 0 & 0 & 2 & 0 \\ 1 & 2 & 0 & 0 & 1 & 2 & 0 & 0 \\ 1 & 2 & 2 & 1 & 1 & 0 & 1 & 0 \\ 1 & 0 & 0 & 2 & 2 & 2 & 1 & 2 \\ 2 & 0 & 2 & 0 & 0 & 2 & 2 & 1 \\ 2 & 1 & 1 & 1 & 2 & 1 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6H $6$ $764225280$ not computed 3B 2E 6H 6H 6H $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 2 & 2 & 0 & 2 & 1 \\ 2 & 1 & 2 & 0 & 2 & 1 & 0 & 2 \\ 1 & 2 & 1 & 0 & 0 & 1 & 1 & 0 \\ 2 & 1 & 2 & 0 & 2 & 1 & 1 & 0 \\ 0 & 1 & 0 & 1 & 2 & 2 & 1 & 1 \\ 0 & 0 & 0 & 2 & 0 & 1 & 2 & 2 \\ 1 & 1 & 2 & 0 & 0 & 0 & 0 & 0 \\ 1 & 2 & 1 & 0 & 1 & 0 & 0 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6I $6$ $764225280$ not computed 3C 2E 6I 6I 6I $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 0 & 2 & 1 & 2 & 0 & 0 & 2 \\ 1 & 2 & 1 & 2 & 0 & 0 & 0 & 0 \\ 2 & 2 & 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 1 & 0 & 1 & 2 & 1 & 0 \\ 0 & 0 & 0 & 0 & 2 & 0 & 0 & 2 \\ 0 & 0 & 0 & 0 & 2 & 1 & 0 & 1 \\ 2 & 0 & 2 & 1 & 2 & 2 & 2 & 0 \\ 2 & 1 & 2 & 1 & 2 & 1 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6J $6$ $955281600$ not computed 3C 2F 6J 6J 6J $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 1 & 2 & 2 & 2 & 0 \\ 1 & 2 & 2 & 0 & 2 & 1 & 1 & 2 \\ 0 & 2 & 0 & 0 & 0 & 1 & 0 & 2 \\ 0 & 0 & 2 & 2 & 2 & 1 & 1 & 2 \\ 0 & 0 & 1 & 1 & 1 & 2 & 1 & 1 \\ 1 & 0 & 2 & 1 & 2 & 1 & 1 & 2 \\ 2 & 0 & 0 & 1 & 2 & 1 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6K $6$ $955281600$ not computed 3B 2F 6K 6K 6K $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 0 & 2 & 1 & 0 & 0 \\ 2 & 1 & 1 & 2 & 2 & 2 & 2 & 2 \\ 2 & 2 & 2 & 1 & 2 & 0 & 1 & 1 \\ 2 & 2 & 2 & 0 & 2 & 2 & 2 & 2 \\ 2 & 0 & 1 & 2 & 0 & 2 & 2 & 2 \\ 0 & 1 & 0 & 0 & 2 & 1 & 0 & 1 \\ 1 & 2 & 1 & 0 & 2 & 2 & 1 & 2 \\ 2 & 1 & 1 & 0 & 2 & 1 & 0 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6L $6$ $1273708800$ not computed 3D 2A 6L 6L 6L $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 0 & 1 & 0 & 0 & 1 & 0 & 1 \\ 2 & 2 & 0 & 1 & 2 & 0 & 0 & 2 \\ 1 & 0 & 2 & 2 & 0 & 0 & 0 & 0 \\ 0 & 1 & 2 & 2 & 2 & 1 & 0 & 0 \\ 1 & 2 & 1 & 1 & 2 & 2 & 2 & 1 \\ 1 & 0 & 2 & 0 & 2 & 2 & 2 & 2 \\ 2 & 2 & 2 & 1 & 1 & 1 & 1 & 2 \\ 2 & 0 & 0 & 2 & 1 & 1 & 1 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6M $6$ $1273708800$ not computed 3E 2C 6M 6M 6M $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 1 & 1 & 2 & 0 & 2 & 1 \\ 1 & 2 & 2 & 1 & 1 & 0 & 2 & 1 \\ 1 & 0 & 2 & 0 & 2 & 1 & 0 & 1 \\ 1 & 0 & 0 & 2 & 2 & 1 & 0 & 2 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 0 & 2 & 0 & 1 \\ 0 & 1 & 0 & 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 0 & 2 & 0 & 0 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6N $6$ $1273708800$ not computed 3B 2D 6N 6N 6N $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 \\ 1 & 0 & 0 & 1 & 0 & 2 & 1 & 0 \\ 2 & 2 & 1 & 1 & 1 & 1 & 1 & 1 \\ 1 & 0 & 0 & 2 & 0 & 2 & 2 & 0 \\ 1 & 1 & 1 & 1 & 0 & 1 & 2 & 0 \\ 1 & 0 & 1 & 0 & 0 & 2 & 2 & 1 \\ 0 & 0 & 2 & 2 & 2 & 1 & 0 & 1 \\ 0 & 1 & 2 & 2 & 2 & 1 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6O $6$ $1273708800$ not computed 3C 2D 6O 6O 6O $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 2 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 0 & 2 & 2 & 2 & 0 & 0 & 0 & 0 \\ 1 & 1 & 2 & 1 & 2 & 1 & 2 & 0 \\ 1 & 0 & 2 & 2 & 1 & 1 & 1 & 2 \\ 0 & 1 & 0 & 1 & 1 & 0 & 2 & 2 \\ 1 & 2 & 0 & 1 & 0 & 1 & 2 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6P $6$ $1910563200$ not computed 3D 2F 6P 6P 6P $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 1 & 0 & 0 & 1 & 1 \\ 0 & 2 & 2 & 2 & 2 & 2 & 2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 1 & 2 & 1 \\ 1 & 1 & 0 & 0 & 1 & 2 & 1 & 2 \\ 1 & 1 & 0 & 2 & 2 & 0 & 0 & 2 \\ 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 2 & 0 & 1 & 2 & 0 & 1 & 1 \\ 2 & 2 & 0 & 1 & 2 & 0 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6Q $6$ $1910563200$ not computed 3E 2F 6Q 6Q 6Q $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 1 & 2 & 1 & 2 & 2 & 0 & 2 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 \\ 1 & 2 & 1 & 1 & 2 & 1 & 2 & 2 \\ 1 & 1 & 2 & 1 & 0 & 2 & 0 & 2 \\ 2 & 0 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 2 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 1 & 0 & 1 \\ 0 & 2 & 2 & 2 & 2 & 2 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6R $6$ $7642252800$ not computed 3H 2B 6R 6R 6R $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 1 & 2 & 0 & 2 & 1 & 0 \\ 2 & 2 & 1 & 2 & 1 & 0 & 1 & 1 \\ 1 & 1 & 0 & 0 & 2 & 0 & 2 & 1 \\ 1 & 2 & 2 & 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 2 & 1 & 2 & 2 & 0 & 1 \\ 0 & 0 & 0 & 2 & 0 & 1 & 1 & 2 \\ 2 & 1 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 1 & 1 & 2 & 1 & 2 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6S $6$ $7642252800$ not computed 3H 2C 6S 6S 6S $ \left[ \left(\begin{array}{rrrrrrrr} 0 & 2 & 2 & 1 & 2 & 0 & 2 & 0 \\ 2 & 1 & 0 & 1 & 2 & 0 & 0 & 2 \\ 0 & 2 & 2 & 1 & 0 & 0 & 0 & 2 \\ 2 & 2 & 1 & 0 & 1 & 1 & 1 & 0 \\ 2 & 0 & 0 & 2 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 & 1 & 0 \\ 0 & 0 & 2 & 2 & 2 & 1 & 1 & 1 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6T $6$ $7642252800$ not computed 3H 2A 6T 6T 6T $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 1 & 0 & 2 & 0 & 1 \\ 1 & 1 & 2 & 1 & 2 & 2 & 0 & 0 \\ 2 & 0 & 0 & 2 & 0 & 0 & 2 & 0 \\ 1 & 2 & 1 & 1 & 0 & 0 & 1 & 1 \\ 1 & 2 & 2 & 2 & 1 & 1 & 1 & 0 \\ 2 & 0 & 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 1 & 2 & 2 & 0 & 2 & 2 & 2 \\ 1 & 2 & 0 & 2 & 1 & 1 & 2 & 0 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6U $6$ $15284505600$ not computed 3G 2F 6U 6U 6U $ \left[ \left(\begin{array}{rrrrrrrr} 1 & 1 & 0 & 0 & 2 & 2 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 2 & 2 & 0 & 0 & 0 & 1 \\ 1 & 1 & 2 & 1 & 2 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 2 & 1 & 0 & 0 \\ 2 & 1 & 0 & 0 & 2 & 2 & 0 & 0 \\ 1 & 2 & 2 & 2 & 1 & 1 & 1 & 0 \\ 0 & 0 & 2 & 2 & 1 & 2 & 0 & 2 \end{array}\right) \right] $
$\PSOPlus(8,3)$ 6V $6$ $15284505600$ not computed 3F 2F 6V 6V 6V $ \left[ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 2 & 0 & 1 & 2 & 2 \\ 0 & 1 & 0 & 0 & 2 & 1 & 0 & 0 \\ 1 & 1 & 0 & 1 & 2 & 2 & 1 & 0 \\ 0 & 2 & 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 2 & 2 & 1 & 0 \\ 0 & 1 & 0 & 1 & 2 & 2 & 1 & 1 \\ 2 & 2 & 1 & 2 & 0 & 1 & 2 & 2 \\ 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 \end{array}\right) \right] $
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