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Elements of the group are displayed as equivalence classes (represented by square brackets) of matrices in $\GOPlus(6,3)$.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 13P
$\POPlus(6,3)$ 1A $1$ $1$ not computed 1A 1A 1A 1A $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 2A $2$ $117$ not computed 1A 2A 2A 2A $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 1 & 2 & 1 & 2 \\ 2 & 1 & 2 & 1 & 2 & 1 \\ 1 & 0 & 2 & 2 & 1 & 2 \\ 2 & 0 & 2 & 2 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 2 & 0 & 2 & 1 & 2 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 2B $2$ $117$ not computed 1A 2B 2B 2B $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 2 & 0 & 1 & 1 \\ 2 & 1 & 2 & 0 & 1 & 1 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 2 & 2 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 2C $2$ $2106$ not computed 1A 2C 2C 2C $ \left[ \left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & 0 & 1 \\ 0 & 0 & 0 & 2 & 1 & 0 \\ 1 & 2 & 2 & 2 & 2 & 1 \\ 1 & 1 & 1 & 2 & 0 & 1 \\ 1 & 2 & 1 & 2 & 0 & 1 \\ 1 & 1 & 1 & 1 & 0 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 2D $2$ $5265$ not computed 1A 2D 2D 2D $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 1 & 2 & 2 & 0 \\ 2 & 1 & 2 & 1 & 0 & 2 \\ 2 & 1 & 2 & 2 & 1 & 2 \\ 1 & 2 & 2 & 2 & 2 & 1 \\ 2 & 0 & 2 & 1 & 1 & 2 \\ 0 & 2 & 1 & 2 & 2 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 2E $2$ $10530$ not computed 1A 2E 2E 2E $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 0 & 1 & 1 \\ 2 & 1 & 0 & 0 & 1 & 1 \\ 2 & 1 & 2 & 0 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 1 & 0 & 0 & 2 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 3A $3$ $1040$ not computed 3A 1A 3A 3A $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 2 & 0 \\ 0 & 1 & 0 & 2 & 0 & 1 \\ 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 3B $3$ $3120$ not computed 3B 1A 3B 3B $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 2 & 0 & 2 \\ 0 & 0 & 0 & 2 & 2 & 2 \\ 2 & 0 & 1 & 2 & 0 & 2 \\ 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 2 & 0 & 2 & 0 & 2 \\ 2 & 1 & 0 & 0 & 1 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 3C $3$ $3120$ not computed 3C 1A 3C 3C $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 0 & 0 & 2 \\ 0 & 0 & 0 & 1 & 2 & 2 \\ 0 & 2 & 2 & 2 & 1 & 1 \\ 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 2 & 0 & 2 & 0 & 1 \\ 2 & 1 & 0 & 1 & 2 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 3D $3$ $74880$ not computed 3D 1A 3D 3D $ \left[ \left(\begin{array}{rrrrrr} 0 & 2 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 2 & 0 & 1 \\ 0 & 2 & 0 & 0 & 0 & 2 \\ 1 & 1 & 1 & 1 & 1 & 1 \\ 2 & 0 & 1 & 1 & 1 & 1 \\ 2 & 2 & 2 & 1 & 1 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 4A $4$ $4212$ not computed 2C 4A 4A 4A $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 2 & 0 & 2 & 2 \\ 0 & 0 & 0 & 2 & 2 & 1 \\ 0 & 0 & 0 & 1 & 0 & 1 \\ 0 & 2 & 1 & 2 & 2 & 0 \\ 0 & 2 & 0 & 2 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 4B $4$ $63180$ not computed 2D 4B 4B 4B $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 2 & 2 & 2 & 1 \\ 0 & 0 & 2 & 0 & 1 & 1 \\ 2 & 0 & 1 & 2 & 2 & 2 \\ 2 & 2 & 2 & 1 & 2 & 0 \\ 2 & 1 & 2 & 2 & 2 & 0 \\ 1 & 1 & 0 & 2 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 4C $4$ $63180$ not computed 2C 4C 4C 4C $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 1 & 1 & 1 & 1 \\ 2 & 1 & 2 & 0 & 2 & 2 \\ 0 & 1 & 1 & 1 & 2 & 0 \\ 1 & 0 & 1 & 2 & 1 & 1 \\ 2 & 0 & 2 & 1 & 0 & 2 \\ 1 & 0 & 1 & 1 & 1 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 4D $4$ $63180$ not computed 2C 4D 4D 4D $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 0 & 0 & 2 & 2 \\ 0 & 1 & 2 & 1 & 1 & 2 \\ 1 & 2 & 0 & 2 & 1 & 1 \\ 1 & 1 & 0 & 2 & 2 & 1 \\ 2 & 1 & 0 & 2 & 1 & 1 \\ 2 & 0 & 2 & 0 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 4E $4$ $63180$ not computed 2D 4E 4E 4E $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 2 & 0 & 2 & 0 \\ 1 & 2 & 0 & 0 & 2 & 2 \\ 2 & 2 & 0 & 0 & 1 & 2 \\ 0 & 1 & 2 & 1 & 1 & 2 \\ 2 & 2 & 0 & 2 & 2 & 1 \\ 1 & 1 & 0 & 2 & 2 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 4F $4$ $189540$ not computed 2C 4F 4F 4F $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 0 & 2 & 1 \\ 0 & 2 & 2 & 1 & 2 & 2 \\ 0 & 0 & 2 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 & 2 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 5A $5$ $303264$ not computed 5A 5A 1A 5A $ \left[ \left(\begin{array}{rrrrrr} 2 & 2 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 2 & 1 \\ 0 & 2 & 1 & 2 & 2 & 0 \\ 2 & 0 & 2 & 1 & 1 & 2 \\ 2 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 2 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 6A $6$ $9360$ not computed 3A 2A 6A 6A $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 1 & 2 & 2 & 2 \\ 2 & 1 & 2 & 2 & 2 & 0 \\ 1 & 0 & 2 & 2 & 0 & 2 \\ 2 & 0 & 2 & 2 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 2 & 0 & 2 & 1 & 2 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 6B $6$ $9360$ not computed 3A 2B 6B 6B $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 1 & 0 & 2 & 2 \\ 2 & 1 & 2 & 0 & 2 & 2 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ 1 & 0 & 2 & 1 & 0 & 1 \\ 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 2 & 0 & 2 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6C $6$ $28080$ not computed 3B 2A 6C 6C $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 0 & 0 & 2 \\ 0 & 0 & 2 & 0 & 1 & 1 \\ 0 & 1 & 0 & 1 & 0 & 2 \\ 0 & 0 & 2 & 0 & 2 & 0 \\ 0 & 2 & 0 & 1 & 0 & 1 \\ 2 & 2 & 0 & 1 & 2 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 6D $6$ $28080$ not computed 3C 2B 6D 6D $ \left[ \left(\begin{array}{rrrrrr} 0 & 2 & 2 & 1 & 2 & 2 \\ 2 & 1 & 2 & 1 & 1 & 0 \\ 2 & 0 & 1 & 1 & 1 & 1 \\ 0 & 2 & 1 & 1 & 1 & 0 \\ 0 & 0 & 1 & 0 & 1 & 1 \\ 1 & 0 & 0 & 2 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6E $6$ $56160$ not computed 3C 2A 6E 6E $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 2 & 2 & 1 & 2 & 2 \\ 0 & 2 & 2 & 2 & 1 & 1 \\ 0 & 1 & 2 & 2 & 2 & 1 \\ 0 & 2 & 1 & 2 & 2 & 1 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 6F $6$ $56160$ not computed 3B 2B 6F 6F $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 0 & 2 & 0 & 0 \\ 2 & 2 & 1 & 2 & 0 & 2 \\ 2 & 1 & 2 & 0 & 1 & 1 \\ 0 & 2 & 2 & 0 & 0 & 1 \\ 0 & 2 & 2 & 2 & 1 & 1 \\ 0 & 2 & 2 & 1 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6G $6$ $84240$ not computed 3A 2D 6G 6G $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 1 & 1 & 1 & 0 \\ 1 & 2 & 1 & 2 & 0 & 1 \\ 2 & 1 & 2 & 1 & 2 & 1 \\ 2 & 0 & 1 & 0 & 1 & 0 \\ 2 & 0 & 2 & 0 & 2 & 0 \\ 0 & 0 & 2 & 0 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6H $6$ $84240$ not computed 3B 2C 6H 6H $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 2 & 0 & 1 & 0 \\ 2 & 1 & 0 & 1 & 0 & 0 \\ 2 & 2 & 1 & 2 & 2 & 0 \\ 2 & 2 & 2 & 1 & 0 & 2 \\ 1 & 2 & 2 & 1 & 1 & 2 \\ 0 & 2 & 2 & 0 & 0 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 6I $6$ $84240$ not computed 3C 2C 6I 6I $ \left[ \left(\begin{array}{rrrrrr} 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 0 & 2 & 0 & 1 & 1 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 2 & 0 \\ 1 & 2 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 0 & 1 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 6J $6$ $84240$ not computed 3B 2E 6J 6J $ \left[ \left(\begin{array}{rrrrrr} 0 & 0 & 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 1 & 1 & 1 \\ 1 & 1 & 0 & 1 & 2 & 1 \\ 1 & 0 & 1 & 2 & 1 & 1 \\ 2 & 0 & 2 & 1 & 0 & 2 \\ 1 & 0 & 1 & 0 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6K $6$ $84240$ not computed 3C 2E 6K 6K $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 0 & 0 & 1 & 1 \\ 2 & 1 & 2 & 0 & 1 & 1 \\ 0 & 0 & 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 1 & 1 & 2 \\ 2 & 0 & 0 & 0 & 2 & 0 \\ 2 & 0 & 1 & 0 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 6L $6$ $168480$ not computed 3C 2D 6L 6L $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 1 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 2 & 2 \\ 2 & 2 & 1 & 2 & 2 & 0 \\ 2 & 1 & 0 & 0 & 2 & 2 \\ 2 & 2 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 2 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 6M $6$ $168480$ not computed 3B 2D 6M 6M $ \left[ \left(\begin{array}{rrrrrr} 1 & 1 & 0 & 1 & 2 & 1 \\ 0 & 0 & 2 & 0 & 0 & 1 \\ 2 & 0 & 2 & 2 & 1 & 1 \\ 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 1 & 2 & 2 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 6N $6$ $673920$ not computed 3D 2E 6N 6N $ \left[ \left(\begin{array}{rrrrrr} 2 & 1 & 1 & 1 & 0 & 1 \\ 2 & 1 & 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 2 & 0 & 1 \\ 2 & 1 & 1 & 0 & 0 & 0 \\ 2 & 2 & 1 & 1 & 0 & 1 \\ 0 & 0 & 1 & 0 & 2 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 8A $8$ $758160$ not computed 4E 8A 8A 8A $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 1 & 0 & 2 & 0 \\ 0 & 1 & 1 & 2 & 1 & 1 \\ 2 & 0 & 1 & 1 & 1 & 1 \\ 2 & 2 & 1 & 1 & 2 & 2 \\ 1 & 0 & 2 & 1 & 1 & 1 \\ 1 & 2 & 0 & 0 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 8B $8$ $758160$ not computed 4E 8B 8B 8B $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 1 & 2 & 0 & 1 \\ 2 & 1 & 2 & 2 & 2 & 0 \\ 2 & 1 & 2 & 0 & 0 & 0 \\ 0 & 2 & 2 & 0 & 0 & 2 \\ 2 & 0 & 2 & 1 & 0 & 2 \\ 2 & 2 & 1 & 2 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 9A $9$ $224640$ not computed 9A 3A 9A 9A $ \left[ \left(\begin{array}{rrrrrr} 2 & 1 & 1 & 2 & 0 & 2 \\ 2 & 1 & 2 & 2 & 1 & 2 \\ 2 & 2 & 0 & 1 & 2 & 1 \\ 0 & 0 & 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 1 & 1 & 2 \\ 0 & 0 & 0 & 2 & 1 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 9B $9$ $224640$ not computed 9B 3A 9B 9B $ \left[ \left(\begin{array}{rrrrrr} 0 & 1 & 2 & 0 & 0 & 0 \\ 1 & 2 & 0 & 1 & 1 & 1 \\ 0 & 1 & 1 & 0 & 0 & 1 \\ 0 & 0 & 0 & 2 & 2 & 2 \\ 0 & 1 & 2 & 0 & 0 & 1 \\ 2 & 1 & 0 & 0 & 1 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 10A $10$ $303264$ not computed 5A 10A 2C 10A $ \left[ \left(\begin{array}{rrrrrr} 0 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 1 & 0 & 2 & 2 \\ 0 & 2 & 1 & 2 & 2 & 2 \\ 2 & 2 & 1 & 2 & 2 & 0 \\ 0 & 2 & 2 & 2 & 1 & 0 \\ 1 & 0 & 1 & 2 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 10B $10$ $606528$ not computed 5A 10B 2A 10B $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 2 & 2 & 0 \\ 0 & 2 & 0 & 2 & 0 & 2 \\ 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 1 & 2 & 1 & 1 & 0 \\ 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 2 & 0 & 2 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 10C $10$ $606528$ not computed 5A 10C 2B 10C $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 1 & 2 & 0 & 1 \\ 0 & 2 & 1 & 2 & 2 & 2 \\ 1 & 1 & 0 & 1 & 2 & 1 \\ 0 & 0 & 1 & 0 & 2 & 1 \\ 0 & 0 & 1 & 0 & 1 & 1 \\ 0 & 0 & 2 & 0 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 12A $12$ $168480$ not computed 6I 4A 12A 12A $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 2 & 2 & 0 & 1 \\ 1 & 0 & 0 & 1 & 0 & 0 \\ 1 & 2 & 1 & 1 & 0 & 2 \\ 1 & 0 & 2 & 1 & 2 & 1 \\ 0 & 2 & 0 & 2 & 0 & 1 \\ 1 & 1 & 2 & 0 & 2 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 12B $12$ $168480$ not computed 6H 4A 12B 12B $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 2 & 0 & 0 & 1 & 1 & 0 \\ 2 & 1 & 2 & 2 & 1 & 2 \\ 2 & 2 & 2 & 1 & 1 & 1 \\ 2 & 1 & 2 & 1 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 12C $12$ $505440$ not computed 6G 4B 12C 12C $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 1 & 0 & 1 & 0 \\ 0 & 2 & 2 & 2 & 1 & 2 \\ 1 & 2 & 0 & 1 & 0 & 0 \\ 1 & 0 & 0 & 0 & 2 & 0 \\ 2 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 0 & 1 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 12D $12$ $505440$ not computed 6H 4C 12D 12D $ \left[ \left(\begin{array}{rrrrrr} 1 & 2 & 1 & 2 & 2 & 0 \\ 1 & 2 & 1 & 1 & 1 & 0 \\ 0 & 1 & 2 & 0 & 0 & 0 \\ 1 & 2 & 1 & 1 & 2 & 1 \\ 0 & 2 & 0 & 0 & 0 & 2 \\ 0 & 0 & 1 & 0 & 0 & 2 \end{array}\right) \right] $
$\POPlus(6,3)$ 12E $12$ $505440$ not computed 6I 4D 12E 12E $ \left[ \left(\begin{array}{rrrrrr} 2 & 1 & 0 & 1 & 0 & 0 \\ 2 & 1 & 1 & 1 & 2 & 0 \\ 0 & 0 & 2 & 0 & 0 & 2 \\ 0 & 2 & 1 & 2 & 2 & 0 \\ 0 & 2 & 1 & 0 & 0 & 1 \\ 0 & 1 & 2 & 0 & 0 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 12F $12$ $505440$ not computed 6G 4E 12F 12F $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 1 & 2 & 2 & 2 \\ 2 & 2 & 1 & 2 & 2 & 0 \\ 0 & 0 & 1 & 0 & 0 & 2 \\ 1 & 2 & 2 & 2 & 1 & 0 \\ 2 & 0 & 0 & 2 & 1 & 0 \\ 1 & 1 & 1 & 1 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 13A1 $13$ $933120$ not computed 13A2 13A1 13A2 1A $ \left[ \left(\begin{array}{rrrrrr} 1 & 0 & 0 & 2 & 0 & 0 \\ 0 & 2 & 2 & 2 & 1 & 2 \\ 2 & 1 & 0 & 2 & 0 & 0 \\ 2 & 0 & 0 & 0 & 1 & 0 \\ 2 & 0 & 0 & 0 & 0 & 0 \\ 2 & 0 & 2 & 0 & 2 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 13A2 $13$ $933120$ not computed 13A1 13A2 13A1 1A $ \left[ \left(\begin{array}{rrrrrr} 2 & 0 & 0 & 2 & 2 & 0 \\ 2 & 0 & 2 & 2 & 2 & 1 \\ 0 & 2 & 2 & 0 & 0 & 2 \\ 1 & 0 & 0 & 1 & 0 & 0 \\ 2 & 0 & 0 & 1 & 0 & 0 \\ 1 & 2 & 0 & 2 & 0 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 18A $18$ $673920$ not computed 9A 6A 18A 18A $ \left[ \left(\begin{array}{rrrrrr} 0 & 2 & 2 & 2 & 1 & 2 \\ 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 1 & 1 & 1 & 2 & 0 \\ 2 & 0 & 2 & 1 & 1 & 2 \\ 0 & 0 & 0 & 2 & 1 & 1 \\ 2 & 0 & 2 & 0 & 1 & 0 \end{array}\right) \right] $
$\POPlus(6,3)$ 18B $18$ $673920$ not computed 9B 6B 18B 18B $ \left[ \left(\begin{array}{rrrrrr} 0 & 2 & 2 & 2 & 1 & 2 \\ 0 & 1 & 1 & 1 & 2 & 2 \\ 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 2 & 1 & 2 \\ 1 & 0 & 2 & 2 & 1 & 2 \\ 1 & 0 & 2 & 1 & 1 & 1 \end{array}\right) \right] $
$\POPlus(6,3)$ 20A $20$ $606528$ not computed 10A 20A 4A 20A $ \left[ \left(\begin{array}{rrrrrr} 0 & 1 & 2 & 2 & 2 & 1 \\ 0 & 0 & 0 & 2 & 2 & 2 \\ 0 & 1 & 2 & 0 & 0 & 0 \\ 1 & 1 & 1 & 0 & 1 & 2 \\ 1 & 2 & 2 & 2 & 2 & 1 \\ 2 & 2 & 2 & 1 & 1 & 1 \end{array}\right) \right] $
  displayed columns for results