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Elements of the group are displayed as matrices in $\OmegaPlus(6,5)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 13P | 31P | ||||||
| $\OmegaPlus(6,5)$ | 1A | $1$ | $1$ | not computed | 1A | 1A | 1A | 1A | 1A | $ \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) $ |
| $\OmegaPlus(6,5)$ | 2A | $2$ | $1$ | not computed | 1A | 2A | 2A | 2A | 2A | $ \left(\begin{array}{rrrrrr} 4 & 0 & 0 & 0 & 0 & 0 \\ 0 & 4 & 0 & 0 & 0 & 0 \\ 0 & 0 & 4 & 0 & 0 & 0 \\ 0 & 0 & 0 & 4 & 0 & 0 \\ 0 & 0 & 0 & 0 & 4 & 0 \\ 0 & 0 & 0 & 0 & 0 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 2B | $2$ | $251875$ | not computed | 1A | 2B | 2B | 2B | 2B | $ \left(\begin{array}{rrrrrr} 3 & 2 & 4 & 0 & 0 & 0 \\ 2 & 0 & 2 & 0 & 0 & 0 \\ 2 & 1 & 1 & 0 & 0 & 0 \\ 4 & 0 & 4 & 1 & 2 & 4 \\ 0 & 4 & 0 & 1 & 0 & 2 \\ 4 & 0 & 4 & 2 & 2 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 2C | $2$ | $251875$ | not computed | 1A | 2C | 2C | 2C | 2C | $ \left(\begin{array}{rrrrrr} 4 & 3 & 4 & 3 & 1 & 0 \\ 1 & 1 & 2 & 4 & 1 & 1 \\ 1 & 3 & 1 & 0 & 4 & 3 \\ 3 & 4 & 0 & 1 & 2 & 4 \\ 4 & 1 & 4 & 3 & 1 & 3 \\ 2 & 4 & 3 & 1 & 1 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 3A | $3$ | $310000$ | not computed | 3A | 1A | 3A | 3A | 3A | $ \left(\begin{array}{rrrrrr} 0 & 1 & 2 & 1 & 3 & 2 \\ 1 & 0 & 3 & 4 & 2 & 3 \\ 3 & 2 & 4 & 4 & 1 & 4 \\ 1 & 4 & 1 & 4 & 2 & 3 \\ 2 & 3 & 1 & 3 & 0 & 1 \\ 3 & 2 & 4 & 2 & 1 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 3B | $3$ | $10075000$ | not computed | 3B | 1A | 3B | 3B | 3B | $ \left(\begin{array}{rrrrrr} 4 & 1 & 3 & 0 & 0 & 0 \\ 2 & 1 & 1 & 0 & 0 & 0 \\ 1 & 4 & 0 & 0 & 0 & 0 \\ 4 & 1 & 3 & 2 & 2 & 3 \\ 2 & 3 & 4 & 0 & 2 & 2 \\ 3 & 3 & 2 & 2 & 1 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 4A | $4$ | $15112500$ | not computed | 2B | 4A | 4A | 4A | 4A | $ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 1 & 3 & 0 \\ 1 & 3 & 1 & 3 & 0 & 2 \\ 3 & 4 & 3 & 0 & 2 & 4 \\ 4 & 1 & 2 & 4 & 1 & 4 \\ 3 & 2 & 4 & 2 & 3 & 2 \\ 2 & 2 & 0 & 4 & 1 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 4B | $4$ | $15112500$ | not computed | 2B | 4B | 4B | 4B | 4B | $ \left(\begin{array}{rrrrrr} 0 & 0 & 4 & 0 & 1 & 0 \\ 0 & 0 & 2 & 0 & 1 & 0 \\ 0 & 0 & 1 & 0 & 3 & 3 \\ 2 & 0 & 3 & 0 & 4 & 0 \\ 4 & 2 & 2 & 2 & 2 & 3 \\ 0 & 4 & 2 & 3 & 1 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 4C | $4$ | $100750000$ | not computed | 2C | 4C | 4C | 4C | 4C | $ \left(\begin{array}{rrrrrr} 3 & 3 & 4 & 2 & 3 & 1 \\ 2 & 0 & 0 & 4 & 4 & 0 \\ 2 & 0 & 1 & 4 & 2 & 3 \\ 4 & 1 & 3 & 1 & 4 & 2 \\ 1 & 4 & 3 & 4 & 1 & 4 \\ 0 & 0 & 3 & 0 & 1 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5A | $5$ | $19344$ | not computed | 5A | 5A | 1A | 5A | 5A | $ \left(\begin{array}{rrrrrr} 2 & 3 & 2 & 4 & 4 & 0 \\ 0 & 4 & 3 & 0 & 0 & 1 \\ 0 & 3 & 4 & 0 & 0 & 1 \\ 3 & 3 & 0 & 3 & 2 & 3 \\ 3 & 0 & 2 & 2 & 3 & 2 \\ 0 & 2 & 2 & 0 & 0 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5B | $5$ | $193440$ | not computed | 5B | 5B | 1A | 5B | 5B | $ \left(\begin{array}{rrrrrr} 0 & 3 & 1 & 4 & 2 & 1 \\ 0 & 3 & 1 & 2 & 1 & 1 \\ 0 & 4 & 3 & 4 & 2 & 2 \\ 4 & 3 & 1 & 0 & 2 & 1 \\ 4 & 0 & 2 & 1 & 4 & 2 \\ 4 & 1 & 0 & 2 & 1 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5C | $5$ | $193440$ | not computed | 5C | 5C | 1A | 5C | 5C | $ \left(\begin{array}{rrrrrr} 4 & 1 & 0 & 3 & 3 & 3 \\ 4 & 2 & 3 & 0 & 2 & 4 \\ 0 & 1 & 2 & 2 & 1 & 0 \\ 1 & 0 & 3 & 3 & 4 & 1 \\ 2 & 2 & 3 & 3 & 1 & 2 \\ 3 & 1 & 0 & 3 & 3 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5D | $5$ | $11606400$ | not computed | 5D | 5D | 1A | 5D | 5D | $ \left(\begin{array}{rrrrrr} 3 & 2 & 3 & 3 & 4 & 1 \\ 2 & 1 & 0 & 3 & 0 & 0 \\ 0 & 1 & 0 & 2 & 0 & 0 \\ 1 & 4 & 1 & 0 & 4 & 4 \\ 4 & 1 & 4 & 1 & 2 & 1 \\ 4 & 0 & 0 & 4 & 0 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5E1 | $5$ | $58032000$ | not computed | 5E2 | 5E2 | 1A | 5E2 | 5E1 | $ \left(\begin{array}{rrrrrr} 0 & 4 & 1 & 4 & 4 & 0 \\ 1 & 4 & 1 & 0 & 0 & 0 \\ 4 & 0 & 1 & 4 & 3 & 4 \\ 3 & 1 & 4 & 0 & 0 & 0 \\ 3 & 4 & 3 & 3 & 1 & 4 \\ 0 & 1 & 3 & 0 & 0 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5E2 | $5$ | $58032000$ | not computed | 5E1 | 5E1 | 1A | 5E1 | 5E2 | $ \left(\begin{array}{rrrrrr} 2 & 1 & 3 & 1 & 2 & 0 \\ 3 & 0 & 1 & 3 & 2 & 4 \\ 0 & 1 & 2 & 4 & 2 & 1 \\ 2 & 1 & 3 & 3 & 4 & 1 \\ 3 & 4 & 2 & 2 & 2 & 1 \\ 3 & 4 & 4 & 2 & 4 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5F1 | $5$ | $58032000$ | not computed | 5F2 | 5F2 | 1A | 5F2 | 5F1 | $ \left(\begin{array}{rrrrrr} 1 & 2 & 4 & 4 & 3 & 3 \\ 0 & 2 & 1 & 3 & 1 & 1 \\ 1 & 1 & 3 & 0 & 2 & 3 \\ 2 & 2 & 2 & 3 & 1 & 1 \\ 1 & 1 & 3 & 4 & 3 & 0 \\ 3 & 3 & 4 & 2 & 0 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 5F2 | $5$ | $58032000$ | not computed | 5F1 | 5F1 | 1A | 5F1 | 5F2 | $ \left(\begin{array}{rrrrrr} 0 & 0 & 2 & 0 & 1 & 3 \\ 1 & 0 & 3 & 1 & 0 & 2 \\ 0 & 3 & 2 & 1 & 1 & 0 \\ 4 & 0 & 4 & 4 & 3 & 1 \\ 0 & 3 & 1 & 1 & 3 & 2 \\ 3 & 2 & 2 & 0 & 2 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6A | $6$ | $310000$ | not computed | 3A | 2A | 6A | 6A | 6A | $ \left(\begin{array}{rrrrrr} 0 & 4 & 2 & 1 & 2 & 3 \\ 4 & 0 & 3 & 4 & 3 & 2 \\ 3 & 2 & 1 & 1 & 1 & 4 \\ 1 & 4 & 4 & 1 & 2 & 3 \\ 3 & 2 & 1 & 3 & 0 & 4 \\ 2 & 3 & 4 & 2 & 4 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6B | $6$ | $10075000$ | not computed | 3B | 2B | 6B | 6B | 6B | $ \left(\begin{array}{rrrrrr} 3 & 0 & 1 & 0 & 0 & 0 \\ 1 & 4 & 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 \\ 2 & 1 & 1 & 2 & 1 & 1 \\ 2 & 1 & 4 & 2 & 0 & 1 \\ 1 & 3 & 0 & 1 & 0 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6C | $6$ | $10075000$ | not computed | 3B | 2C | 6C | 6C | 6C | $ \left(\begin{array}{rrrrrr} 2 & 2 & 4 & 2 & 1 & 0 \\ 0 & 3 & 3 & 1 & 4 & 2 \\ 2 & 1 & 4 & 0 & 1 & 2 \\ 2 & 3 & 0 & 0 & 3 & 3 \\ 2 & 4 & 4 & 3 & 1 & 2 \\ 3 & 0 & 2 & 1 & 3 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6D | $6$ | $10075000$ | not computed | 3B | 2A | 6D | 6D | 6D | $ \left(\begin{array}{rrrrrr} 4 & 0 & 0 & 4 & 1 & 0 \\ 3 & 0 & 3 & 3 & 1 & 2 \\ 4 & 3 & 2 & 0 & 2 & 1 \\ 4 & 0 & 0 & 4 & 3 & 0 \\ 0 & 0 & 0 & 2 & 2 & 0 \\ 1 & 2 & 3 & 1 & 2 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6E | $6$ | $100750000$ | not computed | 3A | 2C | 6E | 6E | 6E | $ \left(\begin{array}{rrrrrr} 0 & 2 & 0 & 4 & 0 & 4 \\ 1 & 1 & 4 & 0 & 0 & 0 \\ 4 & 0 & 3 & 2 & 1 & 1 \\ 4 & 1 & 1 & 2 & 0 & 2 \\ 4 & 1 & 3 & 2 & 1 & 2 \\ 3 & 2 & 0 & 4 & 2 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 6F | $6$ | $100750000$ | not computed | 3A | 2B | 6F | 6F | 6F | $ \left(\begin{array}{rrrrrr} 4 & 1 & 0 & 4 & 2 & 2 \\ 2 & 1 & 3 & 1 & 2 & 0 \\ 0 & 0 & 3 & 0 & 1 & 3 \\ 1 & 1 & 2 & 4 & 0 & 2 \\ 3 & 2 & 3 & 3 & 2 & 4 \\ 1 & 3 & 3 & 3 & 3 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 8A1 | $8$ | $302250000$ | not computed | 4B | 8A-1 | 8A1 | 8A1 | 8A-1 | $ \left(\begin{array}{rrrrrr} 2 & 3 & 1 & 2 & 2 & 1 \\ 1 & 1 & 1 & 4 & 4 & 2 \\ 4 & 1 & 3 & 4 & 0 & 2 \\ 0 & 1 & 4 & 0 & 0 & 0 \\ 1 & 4 & 0 & 1 & 1 & 1 \\ 2 & 0 & 3 & 3 & 3 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 8A-1 | $8$ | $302250000$ | not computed | 4B | 8A1 | 8A-1 | 8A-1 | 8A1 | $ \left(\begin{array}{rrrrrr} 3 & 1 & 0 & 2 & 2 & 1 \\ 3 & 1 & 0 & 0 & 4 & 2 \\ 3 & 1 & 0 & 4 & 4 & 2 \\ 3 & 0 & 4 & 3 & 1 & 1 \\ 0 & 4 & 1 & 1 & 1 & 3 \\ 2 & 1 & 0 & 4 & 1 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10A | $10$ | $19344$ | not computed | 5A | 10A | 2A | 10A | 10A | $ \left(\begin{array}{rrrrrr} 2 & 0 & 2 & 0 & 1 & 0 \\ 1 & 1 & 2 & 3 & 0 & 4 \\ 1 & 0 & 3 & 0 & 2 & 0 \\ 1 & 4 & 0 & 0 & 3 & 3 \\ 4 & 0 & 1 & 0 & 2 & 0 \\ 0 & 1 & 4 & 4 & 4 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10B | $10$ | $193440$ | not computed | 5B | 10B | 2A | 10B | 10B | $ \left(\begin{array}{rrrrrr} 0 & 1 & 1 & 0 & 0 & 1 \\ 2 & 3 & 3 & 2 & 1 & 3 \\ 4 & 3 & 0 & 4 & 2 & 1 \\ 1 & 1 & 1 & 4 & 0 & 1 \\ 3 & 0 & 4 & 2 & 0 & 4 \\ 4 & 2 & 3 & 3 & 4 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10C | $10$ | $193440$ | not computed | 5C | 10C | 2A | 10C | 10C | $ \left(\begin{array}{rrrrrr} 3 & 0 & 0 & 0 & 1 & 0 \\ 3 & 3 & 3 & 4 & 2 & 4 \\ 4 & 0 & 4 & 0 & 1 & 0 \\ 3 & 0 & 0 & 4 & 2 & 0 \\ 4 & 0 & 0 & 0 & 0 & 0 \\ 2 & 1 & 2 & 1 & 3 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10D | $10$ | $11606400$ | not computed | 5D | 10D | 2A | 10D | 10D | $ \left(\begin{array}{rrrrrr} 0 & 0 & 0 & 2 & 1 & 1 \\ 3 & 1 & 3 & 2 & 0 & 3 \\ 3 & 1 & 3 & 2 & 1 & 1 \\ 4 & 4 & 1 & 3 & 1 & 2 \\ 1 & 1 & 4 & 1 & 3 & 3 \\ 4 & 3 & 2 & 1 & 4 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10E | $10$ | $12090000$ | not computed | 5A | 10E | 2B | 10E | 10E | $ \left(\begin{array}{rrrrrr} 4 & 4 & 1 & 0 & 0 & 0 \\ 1 & 0 & 1 & 1 & 2 & 4 \\ 2 & 2 & 4 & 0 & 1 & 4 \\ 4 & 3 & 3 & 2 & 4 & 3 \\ 3 & 3 & 1 & 0 & 3 & 2 \\ 1 & 1 & 2 & 2 & 1 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10F | $10$ | $12090000$ | not computed | 5A | 10F | 2C | 10F | 10F | $ \left(\begin{array}{rrrrrr} 3 & 2 & 0 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 \\ 3 & 3 & 1 & 0 & 0 & 0 \\ 1 & 2 & 0 & 1 & 0 & 0 \\ 3 & 1 & 4 & 3 & 2 & 2 \\ 3 & 1 & 0 & 3 & 1 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10G1 | $10$ | $58032000$ | not computed | 5E1 | 10G3 | 2A | 10G3 | 10G1 | $ \left(\begin{array}{rrrrrr} 3 & 4 & 4 & 4 & 1 & 0 \\ 1 & 3 & 1 & 3 & 3 & 3 \\ 3 & 3 & 2 & 1 & 2 & 4 \\ 1 & 3 & 2 & 3 & 4 & 2 \\ 1 & 1 & 4 & 4 & 0 & 4 \\ 2 & 2 & 3 & 0 & 2 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10G3 | $10$ | $58032000$ | not computed | 5E2 | 10G1 | 2A | 10G1 | 10G3 | $ \left(\begin{array}{rrrrrr} 0 & 1 & 0 & 1 & 0 & 0 \\ 0 & 4 & 0 & 2 & 0 & 1 \\ 0 & 2 & 0 & 1 & 0 & 1 \\ 2 & 2 & 1 & 4 & 4 & 4 \\ 4 & 1 & 4 & 0 & 1 & 1 \\ 0 & 2 & 2 & 1 & 4 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10H1 | $10$ | $58032000$ | not computed | 5F1 | 10H3 | 2A | 10H3 | 10H1 | $ \left(\begin{array}{rrrrrr} 3 & 3 & 4 & 0 & 3 & 2 \\ 3 & 2 & 2 & 4 & 0 & 4 \\ 0 & 4 & 1 & 4 & 4 & 0 \\ 3 & 4 & 1 & 3 & 2 & 3 \\ 3 & 2 & 0 & 2 & 0 & 0 \\ 2 & 0 & 1 & 0 & 4 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10H3 | $10$ | $58032000$ | not computed | 5F2 | 10H1 | 2A | 10H1 | 10H3 | $ \left(\begin{array}{rrrrrr} 1 & 0 & 4 & 2 & 4 & 2 \\ 0 & 2 & 4 & 3 & 4 & 2 \\ 3 & 1 & 2 & 0 & 2 & 1 \\ 1 & 2 & 3 & 2 & 4 & 1 \\ 2 & 4 & 3 & 4 & 3 & 3 \\ 2 & 4 & 3 & 4 & 0 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10I | $10$ | $72540000$ | not computed | 5B | 10I | 2C | 10I | 10I | $ \left(\begin{array}{rrrrrr} 0 & 3 & 1 & 1 & 3 & 0 \\ 1 & 2 & 1 & 4 & 3 & 0 \\ 1 & 2 & 4 & 4 & 2 & 0 \\ 4 & 3 & 4 & 3 & 3 & 1 \\ 1 & 3 & 1 & 4 & 2 & 0 \\ 3 & 1 & 3 & 2 & 1 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10J | $10$ | $72540000$ | not computed | 5B | 10J | 2B | 10J | 10J | $ \left(\begin{array}{rrrrrr} 0 & 4 & 2 & 1 & 2 & 1 \\ 4 & 0 & 0 & 0 & 4 & 0 \\ 4 & 3 & 0 & 2 & 4 & 2 \\ 3 & 0 & 0 & 1 & 0 & 0 \\ 2 & 3 & 2 & 1 & 2 & 1 \\ 1 & 0 & 0 & 3 & 1 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10K | $10$ | $72540000$ | not computed | 5C | 10K | 2C | 10K | 10K | $ \left(\begin{array}{rrrrrr} 1 & 0 & 1 & 0 & 4 & 0 \\ 4 & 0 & 4 & 3 & 2 & 2 \\ 0 & 0 & 0 & 4 & 1 & 1 \\ 4 & 2 & 0 & 3 & 2 & 4 \\ 2 & 4 & 1 & 1 & 2 & 3 \\ 2 & 4 & 1 & 4 & 1 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 10L | $10$ | $72540000$ | not computed | 5C | 10L | 2B | 10L | 10L | $ \left(\begin{array}{rrrrrr} 4 & 2 & 2 & 1 & 0 & 2 \\ 0 & 2 & 2 & 3 & 2 & 2 \\ 1 & 2 & 4 & 0 & 1 & 3 \\ 0 & 2 & 2 & 1 & 4 & 2 \\ 4 & 3 & 1 & 4 & 3 & 3 \\ 0 & 0 & 0 & 3 & 2 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12A | $12$ | $201500000$ | not computed | 6E | 4C | 12A | 12A | 12A | $ \left(\begin{array}{rrrrrr} 3 & 0 & 3 & 4 & 1 & 1 \\ 3 & 2 & 3 & 3 & 1 & 3 \\ 2 & 4 & 3 & 4 & 2 & 0 \\ 4 & 4 & 4 & 1 & 3 & 1 \\ 2 & 2 & 0 & 3 & 1 & 4 \\ 2 & 2 & 1 & 3 & 3 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12B | $12$ | $201500000$ | not computed | 6E | 4C | 12B | 12B | 12B | $ \left(\begin{array}{rrrrrr} 4 & 2 & 4 & 4 & 1 & 3 \\ 3 & 1 & 4 & 0 & 1 & 3 \\ 1 & 3 & 3 & 1 & 2 & 1 \\ 4 & 0 & 3 & 0 & 3 & 0 \\ 4 & 2 & 1 & 4 & 2 & 3 \\ 1 & 4 & 3 & 0 & 2 & 2 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12C1 | $12$ | $201500000$ | not computed | 6C | 4C | 12C1 | 12C1 | 12C-1 | $ \left(\begin{array}{rrrrrr} 3 & 3 & 4 & 2 & 2 & 2 \\ 0 & 1 & 3 & 4 & 3 & 4 \\ 0 & 2 & 3 & 3 & 3 & 3 \\ 3 & 2 & 1 & 1 & 0 & 3 \\ 1 & 3 & 1 & 1 & 1 & 1 \\ 0 & 1 & 1 & 4 & 1 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12C-1 | $12$ | $201500000$ | not computed | 6C | 4C | 12C-1 | 12C-1 | 12C1 | $ \left(\begin{array}{rrrrrr} 1 & 1 & 3 & 3 & 4 & 2 \\ 1 & 1 & 0 & 3 & 3 & 2 \\ 4 & 1 & 1 & 3 & 4 & 2 \\ 1 & 1 & 1 & 3 & 3 & 4 \\ 1 & 3 & 2 & 2 & 1 & 3 \\ 0 & 1 & 3 & 0 & 0 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12D | $12$ | $302250000$ | not computed | 6B | 4A | 12D | 12D | 12D | $ \left(\begin{array}{rrrrrr} 4 & 2 & 4 & 3 & 2 & 1 \\ 3 & 4 & 3 & 0 & 2 & 4 \\ 3 & 4 & 3 & 2 & 2 & 2 \\ 4 & 3 & 2 & 1 & 3 & 1 \\ 0 & 1 & 2 & 3 & 4 & 3 \\ 2 & 2 & 2 & 1 & 3 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 12E | $12$ | $302250000$ | not computed | 6B | 4B | 12E | 12E | 12E | $ \left(\begin{array}{rrrrrr} 0 & 1 & 4 & 1 & 1 & 2 \\ 3 & 0 & 1 & 1 & 4 & 3 \\ 4 & 0 & 0 & 3 & 0 & 0 \\ 0 & 4 & 1 & 2 & 2 & 2 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 4 & 0 & 0 & 3 & 1 & 0 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 13A1 | $13$ | $186000000$ | not computed | 13A2 | 13A2 | 13A1 | 1A | 13A1 | $ \left(\begin{array}{rrrrrr} 1 & 0 & 1 & 2 & 3 & 3 \\ 1 & 1 & 3 & 1 & 0 & 2 \\ 3 & 1 & 1 & 0 & 2 & 1 \\ 4 & 3 & 0 & 1 & 1 & 3 \\ 3 & 2 & 4 & 3 & 3 & 4 \\ 0 & 2 & 3 & 1 & 1 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 13A2 | $13$ | $186000000$ | not computed | 13A4 | 13A4 | 13A2 | 1A | 13A2 | $ \left(\begin{array}{rrrrrr} 1 & 4 & 3 & 1 & 4 & 1 \\ 0 & 1 & 3 & 1 & 2 & 2 \\ 3 & 3 & 3 & 4 & 3 & 3 \\ 4 & 4 & 1 & 3 & 4 & 4 \\ 3 & 4 & 2 & 4 & 3 & 0 \\ 3 & 1 & 2 & 4 & 3 & 3 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 13A4 | $13$ | $186000000$ | not computed | 13A1 | 13A1 | 13A4 | 1A | 13A4 | $ \left(\begin{array}{rrrrrr} 4 & 3 & 0 & 0 & 0 & 0 \\ 0 & 4 & 1 & 2 & 2 & 1 \\ 1 & 0 & 3 & 4 & 1 & 3 \\ 3 & 0 & 1 & 3 & 3 & 4 \\ 4 & 0 & 2 & 4 & 1 & 3 \\ 3 & 0 & 4 & 3 & 4 & 1 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 15A | $15$ | $96720000$ | not computed | 15A | 5B | 3A | 15A | 15A | $ \left(\begin{array}{rrrrrr} 0 & 0 & 2 & 0 & 3 & 0 \\ 2 & 2 & 1 & 2 & 2 & 2 \\ 2 & 3 & 0 & 3 & 3 & 3 \\ 3 & 3 & 3 & 3 & 0 & 2 \\ 2 & 3 & 3 & 3 & 4 & 2 \\ 3 & 1 & 1 & 4 & 4 & 4 \end{array}\right) $ |
| $\OmegaPlus(6,5)$ | 15B | $15$ | $96720000$ | not computed | 15B | 5C | 3A | 15B | 15B | $ \left(\begin{array}{rrrrrr} 1 & 4 & 4 & 2 & 2 & 4 \\ 1 & 4 & 4 & 3 & 0 & 3 \\ 2 & 3 & 3 & 3 & 0 & 3 \\ 4 & 0 & 4 & 0 & 4 & 0 \\ 0 & 4 & 4 & 2 & 3 & 4 \\ 2 & 1 & 3 & 2 & 0 & 2 \end{array}\right) $ |