Refine search
Elements of the group are displayed as matrices in $\OmegaMinus(8,3)$.
| Group | Label | Order | Size | Centralizer | Powers | Representative | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2P | 3P | 5P | 7P | 13P | 41P | ||||||
| $\OmegaMinus(8,3)$ | 1A | $1$ | $1$ | not computed | 1A | 1A | 1A | 1A | 1A | 1A | $ \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) $ |
| $\OmegaMinus(8,3)$ | 2A | $2$ | $209223$ | not computed | 1A | 2A | 2A | 2A | 2A | 2A | $ \left(\begin{array}{rrrrrrrr} 1 & 0 & 1 & 1 & 2 & 1 & 2 & 1 \\ 0 & 1 & 2 & 2 & 1 & 2 & 1 & 2 \\ 2 & 0 & 0 & 2 & 1 & 2 & 2 & 1 \\ 1 & 0 & 1 & 2 & 2 & 1 & 1 & 2 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 0 & 2 & 2 & 1 & 0 & 2 & 1 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ 1 & 0 & 2 & 2 & 1 & 2 & 0 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 2B | $2$ | $388557$ | not computed | 1A | 2B | 2B | 2B | 2B | 2B | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 2 & 1 & 2 & 2 & 2 & 2 \\ 0 & 2 & 1 & 1 & 2 & 2 & 0 & 2 \\ 1 & 2 & 1 & 1 & 2 & 2 & 2 & 2 \\ 1 & 2 & 2 & 0 & 2 & 2 & 2 & 2 \\ 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 \\ 2 & 1 & 0 & 1 & 2 & 1 & 1 & 2 \\ 0 & 0 & 1 & 1 & 2 & 2 & 2 & 2 \\ 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 2C | $2$ | $24479091$ | not computed | 1A | 2C | 2C | 2C | 2C | 2C | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 1 & 1 & 0 & 0 & 2 \\ 2 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 0 & 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 & 0 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 1 & 0 & 1 & 1 \\ 1 & 2 & 1 & 2 & 1 & 2 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 0 & 1 & 1 \\ 0 & 2 & 1 & 1 & 1 & 0 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3A | $3$ | $59696$ | not computed | 3A | 1A | 3A | 3A | 3A | 3A | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 2 & 1 & 2 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\ 1 & 0 & 1 & 2 & 1 & 0 & 0 & 2 \\ 1 & 2 & 1 & 1 & 0 & 2 & 0 & 1 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ 2 & 0 & 0 & 1 & 2 & 1 & 0 & 1 \\ 1 & 0 & 0 & 2 & 1 & 0 & 1 & 2 \\ 0 & 2 & 1 & 1 & 2 & 2 & 0 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3B | $3$ | $268632$ | not computed | 3B | 1A | 3B | 3B | 3B | 3B | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 1 & 2 & 1 & 0 & 2 & 0 \\ 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 \\ 2 & 1 & 2 & 2 & 1 & 0 & 2 & 0 \\ 0 & 0 & 2 & 1 & 2 & 2 & 0 & 2 \\ 1 & 2 & 2 & 1 & 0 & 0 & 1 & 0 \\ 1 & 2 & 1 & 1 & 1 & 0 & 1 & 2 \\ 2 & 1 & 0 & 2 & 0 & 2 & 0 & 2 \\ 1 & 2 & 0 & 1 & 0 & 1 & 1 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3C | $3$ | $268632$ | not computed | 3C | 1A | 3C | 3C | 3C | 3C | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 2 & 1 & 1 & 2 & 0 \\ 2 & 2 & 1 & 0 & 1 & 2 & 2 & 1 \\ 2 & 0 & 0 & 2 & 0 & 2 & 0 & 2 \\ 2 & 0 & 2 & 0 & 0 & 2 & 0 & 2 \\ 2 & 2 & 0 & 1 & 0 & 2 & 1 & 0 \\ 1 & 1 & 0 & 2 & 1 & 2 & 2 & 0 \\ 1 & 2 & 2 & 0 & 2 & 1 & 2 & 2 \\ 2 & 0 & 2 & 2 & 0 & 2 & 0 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3D | $3$ | $21490560$ | not computed | 3D | 1A | 3D | 3D | 3D | 3D | $ \left(\begin{array}{rrrrrrrr} 2 & 2 & 2 & 0 & 0 & 2 & 2 & 2 \\ 0 & 1 & 0 & 1 & 2 & 1 & 2 & 2 \\ 0 & 2 & 1 & 1 & 1 & 0 & 2 & 1 \\ 1 & 1 & 0 & 2 & 1 & 0 & 1 & 0 \\ 2 & 1 & 1 & 1 & 0 & 2 & 0 & 0 \\ 1 & 0 & 0 & 2 & 2 & 1 & 0 & 1 \\ 2 & 2 & 0 & 0 & 1 & 1 & 2 & 2 \\ 2 & 0 & 2 & 2 & 0 & 0 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3E | $3$ | $21490560$ | not computed | 3E | 1A | 3E | 3E | 3E | 3E | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 1 & 2 & 0 & 1 & 0 & 1 \\ 0 & 1 & 2 & 1 & 2 & 2 & 1 & 2 \\ 2 & 0 & 0 & 2 & 2 & 0 & 1 & 2 \\ 1 & 1 & 2 & 0 & 1 & 0 & 2 & 2 \\ 1 & 2 & 2 & 0 & 0 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 & 2 & 2 & 2 & 0 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 2 & 0 & 1 & 1 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3F | $3$ | $193415040$ | not computed | 3F | 1A | 3F | 3F | 3F | 3F | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 0 & 2 & 1 & 0 & 1 \\ 0 & 1 & 0 & 1 & 2 & 1 & 2 & 1 \\ 0 & 0 & 2 & 0 & 1 & 1 & 1 & 0 \\ 0 & 2 & 2 & 1 & 1 & 2 & 1 & 1 \\ 0 & 0 & 2 & 2 & 2 & 1 & 0 & 2 \\ 0 & 2 & 1 & 1 & 1 & 0 & 2 & 2 \\ 0 & 2 & 2 & 2 & 1 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 3G | $3$ | $193415040$ | not computed | 3G | 1A | 3G | 3G | 3G | 3G | $ \left(\begin{array}{rrrrrrrr} 2 & 2 & 0 & 0 & 2 & 2 & 1 & 0 \\ 2 & 0 & 0 & 1 & 1 & 0 & 0 & 2 \\ 0 & 0 & 2 & 0 & 0 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 2 & 1 & 0 & 2 \\ 2 & 0 & 0 & 1 & 0 & 0 & 0 & 1 \\ 2 & 2 & 1 & 1 & 1 & 1 & 1 & 2 \\ 1 & 0 & 0 & 2 & 1 & 0 & 1 & 2 \\ 1 & 1 & 0 & 1 & 0 & 1 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4A | $4$ | $418446$ | not computed | 2A | 4A | 4A | 4A | 4A | 4A | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 0 & 0 & 0 & 0 & 2 & 1 \\ 2 & 2 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 0 & 1 & 2 & 1 & 2 & 1 & 2 \\ 0 & 0 & 1 & 0 & 2 & 1 & 2 & 1 \\ 0 & 0 & 0 & 0 & 2 & 0 & 0 & 0 \\ 0 & 0 & 2 & 2 & 1 & 1 & 1 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 \\ 1 & 0 & 1 & 1 & 2 & 1 & 1 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4B | $4$ | $293749092$ | not computed | 2C | 4B | 4B | 4B | 4B | 4B | $ \left(\begin{array}{rrrrrrrr} 1 & 1 & 0 & 1 & 0 & 1 & 0 & 1 \\ 2 & 0 & 1 & 1 & 0 & 1 & 2 & 0 \\ 2 & 1 & 0 & 0 & 0 & 0 & 2 & 2 \\ 2 & 1 & 2 & 1 & 0 & 0 & 2 & 2 \\ 2 & 1 & 1 & 0 & 1 & 0 & 2 & 2 \\ 0 & 1 & 2 & 0 & 1 & 0 & 2 & 0 \\ 1 & 1 & 1 & 2 & 0 & 2 & 2 & 0 \\ 0 & 1 & 1 & 1 & 0 & 1 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4C | $4$ | $419641560$ | not computed | 2B | 4C | 4C | 4C | 4C | 4C | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 2 & 1 & 1 & 1 & 2 & 2 \\ 2 & 2 & 0 & 2 & 2 & 1 & 0 & 2 \\ 2 & 2 & 1 & 1 & 2 & 2 & 0 & 0 \\ 1 & 2 & 2 & 1 & 2 & 2 & 1 & 1 \\ 0 & 1 & 0 & 0 & 0 & 0 & 1 & 2 \\ 0 & 1 & 0 & 1 & 2 & 0 & 2 & 2 \\ 1 & 0 & 1 & 0 & 1 & 2 & 1 & 0 \\ 0 & 2 & 1 & 2 & 1 & 0 & 1 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4D | $4$ | $881247276$ | not computed | 2A | 4D | 4D | 4D | 4D | 4D | $ \left(\begin{array}{rrrrrrrr} 1 & 1 & 1 & 1 & 1 & 2 & 2 & 0 \\ 1 & 0 & 1 & 0 & 2 & 1 & 0 & 1 \\ 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 \\ 2 & 1 & 0 & 1 & 0 & 2 & 1 & 1 \\ 0 & 2 & 1 & 2 & 2 & 2 & 0 & 2 \\ 0 & 2 & 2 & 1 & 1 & 1 & 1 & 1 \\ 1 & 0 & 2 & 2 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 1 & 1 & 2 & 0 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4E | $4$ | $2203118190$ | not computed | 2A | 4E | 4E | 4E | 4E | 4E | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 2 & 1 & 2 & 1 & 2 & 1 \\ 2 & 0 & 0 & 0 & 0 & 2 & 2 & 0 \\ 0 & 1 & 0 & 0 & 1 & 2 & 2 & 2 \\ 1 & 1 & 0 & 2 & 1 & 1 & 2 & 2 \\ 0 & 0 & 1 & 2 & 0 & 2 & 0 & 2 \\ 1 & 2 & 0 & 2 & 0 & 0 & 0 & 1 \\ 1 & 0 & 2 & 2 & 1 & 1 & 0 & 0 \\ 2 & 1 & 2 & 0 & 2 & 2 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 4F | $4$ | $13218709140$ | not computed | 2C | 4F | 4F | 4F | 4F | 4F | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 1 & 2 & 1 & 1 & 2 & 1 \\ 2 & 2 & 0 & 2 & 0 & 1 & 1 & 1 \\ 1 & 0 & 2 & 0 & 0 & 0 & 0 & 0 \\ 0 & 1 & 1 & 2 & 1 & 0 & 1 & 0 \\ 1 & 2 & 1 & 0 & 2 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 1 & 1 & 2 \\ 0 & 1 & 2 & 1 & 0 & 0 & 1 & 0 \\ 2 & 2 & 0 & 2 & 0 & 0 & 2 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 5A | $5$ | $3524989104$ | not computed | 5A | 5A | 1A | 5A | 5A | 5A | $ \left(\begin{array}{rrrrrrrr} 1 & 0 & 1 & 2 & 2 & 0 & 1 & 1 \\ 0 & 1 & 1 & 2 & 2 & 0 & 1 & 1 \\ 2 & 1 & 1 & 2 & 0 & 1 & 2 & 2 \\ 2 & 1 & 0 & 1 & 0 & 1 & 2 & 2 \\ 2 & 1 & 2 & 1 & 1 & 1 & 0 & 0 \\ 2 & 1 & 1 & 0 & 1 & 2 & 2 & 2 \\ 2 & 1 & 0 & 2 & 0 & 1 & 0 & 2 \\ 1 & 2 & 0 & 1 & 0 & 2 & 1 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6A | $6$ | $217591920$ | not computed | 3A | 2A | 6A | 6A | 6A | 6A | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 2 & 0 & 0 & 1 & 0 & 2 \\ 2 & 0 & 0 & 0 & 2 & 2 & 2 & 1 \\ 2 & 2 & 2 & 0 & 0 & 2 & 0 & 1 \\ 2 & 1 & 2 & 2 & 0 & 2 & 0 & 1 \\ 2 & 1 & 2 & 0 & 2 & 2 & 0 & 1 \\ 2 & 0 & 0 & 0 & 2 & 0 & 0 & 1 \\ 0 & 2 & 0 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 1 & 0 & 0 & 2 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6B | $6$ | $217591920$ | not computed | 3A | 2B | 6B | 6B | 6B | 6B | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 2 & 1 & 1 & 1 & 2 & 2 \\ 1 & 1 & 1 & 2 & 2 & 0 & 2 & 2 \\ 2 & 2 & 0 & 0 & 2 & 2 & 1 & 0 \\ 1 & 2 & 0 & 2 & 2 & 2 & 0 & 0 \\ 2 & 2 & 1 & 1 & 1 & 2 & 1 & 2 \\ 2 & 1 & 1 & 0 & 1 & 1 & 2 & 1 \\ 0 & 1 & 1 & 1 & 1 & 1 & 0 & 2 \\ 0 & 2 & 0 & 0 & 2 & 0 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6C | $6$ | $391665456$ | not computed | 3A | 2C | 6C | 6C | 6C | 6C | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 2 & 2 & 0 & 2 & 0 & 2 \\ 1 & 2 & 2 & 1 & 2 & 1 & 0 & 0 \\ 2 & 0 & 1 & 2 & 2 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 0 & 1 & 2 & 1 \\ 1 & 2 & 1 & 0 & 1 & 2 & 0 & 1 \\ 1 & 1 & 2 & 0 & 2 & 1 & 2 & 1 \\ 2 & 2 & 1 & 0 & 1 & 0 & 2 & 2 \\ 2 & 0 & 0 & 0 & 2 & 0 & 1 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6D | $6$ | $652775760$ | not computed | 3C | 2A | 6D | 6D | 6D | 6D | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 0 & 0 & 0 & 2 & 0 & 1 \\ 0 & 2 & 0 & 0 & 1 & 1 & 1 & 2 \\ 1 & 2 & 1 & 2 & 1 & 2 & 2 & 2 \\ 0 & 2 & 0 & 1 & 2 & 2 & 2 & 1 \\ 0 & 2 & 0 & 0 & 0 & 2 & 2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 1 & 1 & 2 & 2 \\ 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6E | $6$ | $652775760$ | not computed | 3B | 2A | 6E | 6E | 6E | 6E | $ \left(\begin{array}{rrrrrrrr} 1 & 0 & 2 & 0 & 2 & 2 & 0 & 1 \\ 0 & 2 & 1 & 0 & 2 & 1 & 2 & 0 \\ 1 & 0 & 0 & 0 & 2 & 2 & 1 & 2 \\ 0 & 2 & 0 & 2 & 1 & 1 & 2 & 1 \\ 0 & 2 & 2 & 2 & 0 & 1 & 0 & 1 \\ 1 & 0 & 0 & 2 & 1 & 0 & 0 & 2 \\ 2 & 1 & 1 & 2 & 0 & 0 & 1 & 0 \\ 2 & 2 & 0 & 1 & 1 & 1 & 1 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6F | $6$ | $783330912$ | not computed | 3B | 2C | 6F | 6F | 6F | 6F | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 0 & 0 & 2 & 0 & 0 \\ 2 & 2 & 2 & 2 & 0 & 2 & 1 & 2 \\ 1 & 1 & 0 & 0 & 2 & 0 & 0 & 2 \\ 1 & 1 & 2 & 1 & 1 & 2 & 1 & 1 \\ 1 & 1 & 0 & 0 & 1 & 1 & 0 & 0 \\ 1 & 0 & 0 & 2 & 2 & 1 & 0 & 1 \\ 2 & 2 & 1 & 0 & 0 & 2 & 2 & 0 \\ 2 & 2 & 0 & 0 & 1 & 0 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6G | $6$ | $783330912$ | not computed | 3C | 2C | 6G | 6G | 6G | 6G | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 0 & 1 & 2 & 1 & 0 \\ 1 & 1 & 0 & 2 & 0 & 1 & 1 & 0 \\ 1 & 2 & 1 & 1 & 2 & 2 & 1 & 1 \\ 0 & 2 & 1 & 2 & 0 & 1 & 1 & 1 \\ 0 & 2 & 1 & 1 & 1 & 1 & 2 & 1 \\ 2 & 1 & 0 & 2 & 1 & 2 & 1 & 2 \\ 1 & 0 & 2 & 0 & 2 & 1 & 0 & 0 \\ 2 & 2 & 2 & 1 & 1 & 0 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6H | $6$ | $979163640$ | not computed | 3B | 2C | 6H | 6H | 6H | 6H | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 1 & 1 & 2 & 0 & 1 & 2 \\ 2 & 0 & 2 & 2 & 1 & 0 & 2 & 1 \\ 1 & 1 & 1 & 1 & 1 & 1 & 0 & 0 \\ 1 & 1 & 1 & 2 & 2 & 0 & 1 & 2 \\ 1 & 2 & 0 & 1 & 1 & 2 & 2 & 1 \\ 1 & 0 & 0 & 1 & 0 & 1 & 2 & 1 \\ 2 & 2 & 2 & 2 & 2 & 0 & 1 & 1 \\ 0 & 2 & 1 & 0 & 2 & 1 & 2 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6I | $6$ | $979163640$ | not computed | 3C | 2C | 6I | 6I | 6I | 6I | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 0 & 1 & 0 & 1 & 1 & 2 \\ 1 & 0 & 0 & 1 & 2 & 2 & 2 & 2 \\ 1 & 1 & 2 & 2 & 2 & 0 & 1 & 0 \\ 1 & 1 & 0 & 1 & 2 & 0 & 1 & 0 \\ 1 & 2 & 2 & 0 & 1 & 1 & 1 & 2 \\ 1 & 2 & 2 & 1 & 0 & 0 & 2 & 0 \\ 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ 2 & 2 & 0 & 1 & 0 & 1 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6J | $6$ | $1305551520$ | not computed | 3C | 2B | 6J | 6J | 6J | 6J | $ \left(\begin{array}{rrrrrrrr} 2 & 1 & 0 & 1 & 0 & 1 & 1 & 0 \\ 0 & 0 & 2 & 2 & 2 & 2 & 1 & 0 \\ 0 & 1 & 2 & 2 & 1 & 1 & 0 & 1 \\ 0 & 0 & 1 & 0 & 0 & 2 & 1 & 2 \\ 0 & 1 & 2 & 1 & 2 & 0 & 0 & 2 \\ 0 & 1 & 2 & 1 & 1 & 1 & 2 & 2 \\ 0 & 1 & 0 & 0 & 1 & 2 & 2 & 2 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6K | $6$ | $1305551520$ | not computed | 3B | 2B | 6K | 6K | 6K | 6K | $ \left(\begin{array}{rrrrrrrr} 1 & 1 & 1 & 1 & 0 & 1 & 1 & 2 \\ 1 & 0 & 0 & 1 & 0 & 0 & 2 & 1 \\ 2 & 1 & 1 & 2 & 0 & 2 & 2 & 0 \\ 1 & 1 & 1 & 2 & 1 & 0 & 2 & 2 \\ 0 & 2 & 2 & 0 & 2 & 2 & 1 & 1 \\ 0 & 1 & 2 & 2 & 1 & 0 & 2 & 0 \\ 2 & 0 & 2 & 2 & 2 & 0 & 1 & 2 \\ 0 & 0 & 2 & 0 & 1 & 1 & 1 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6L | $6$ | $15666618240$ | not computed | 3D | 2C | 6L | 6L | 6L | 6L | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 0 & 0 & 2 & 2 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 & 1 & 0 & 2 \\ 0 & 2 & 2 & 1 & 1 & 0 & 2 & 1 \\ 2 & 0 & 1 & 2 & 1 & 0 & 0 & 2 \\ 0 & 0 & 1 & 1 & 0 & 2 & 1 & 1 \\ 0 & 1 & 1 & 1 & 0 & 2 & 2 & 0 \\ 1 & 1 & 0 & 1 & 1 & 1 & 0 & 1 \\ 2 & 2 & 2 & 1 & 0 & 0 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6M | $6$ | $15666618240$ | not computed | 3E | 2C | 6M | 6M | 6M | 6M | $ \left(\begin{array}{rrrrrrrr} 1 & 0 & 0 & 1 & 2 & 2 & 1 & 2 \\ 1 & 1 & 1 & 2 & 0 & 0 & 1 & 0 \\ 2 & 0 & 1 & 1 & 1 & 2 & 0 & 1 \\ 1 & 2 & 0 & 1 & 1 & 1 & 0 & 0 \\ 2 & 2 & 0 & 0 & 2 & 2 & 0 & 0 \\ 1 & 1 & 0 & 0 & 2 & 1 & 2 & 0 \\ 0 & 2 & 0 & 1 & 0 & 2 & 2 & 2 \\ 2 & 0 & 2 & 1 & 2 & 1 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6N | $6$ | $15666618240$ | not computed | 3F | 2B | 6N | 6N | 6N | 6N | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 0 & 2 & 2 & 1 & 1 \\ 0 & 0 & 2 & 2 & 1 & 1 & 1 & 2 \\ 1 & 1 & 2 & 2 & 2 & 1 & 1 & 1 \\ 1 & 1 & 2 & 1 & 2 & 0 & 0 & 1 \\ 0 & 0 & 2 & 2 & 0 & 1 & 0 & 2 \\ 2 & 2 & 2 & 1 & 1 & 0 & 1 & 1 \\ 0 & 1 & 2 & 0 & 0 & 2 & 2 & 0 \\ 0 & 0 & 2 & 2 & 1 & 1 & 0 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6O | $6$ | $15666618240$ | not computed | 3G | 2A | 6O | 6O | 6O | 6O | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 2 & 0 & 2 & 2 & 1 & 0 \\ 2 & 1 & 0 & 1 & 0 & 2 & 0 & 2 \\ 0 & 2 & 1 & 0 & 1 & 2 & 0 & 1 \\ 0 & 0 & 0 & 2 & 0 & 2 & 0 & 2 \\ 2 & 2 & 2 & 0 & 0 & 0 & 0 & 2 \\ 0 & 0 & 1 & 1 & 2 & 2 & 0 & 1 \\ 2 & 2 & 2 & 0 & 1 & 0 & 2 & 2 \\ 2 & 2 & 0 & 1 & 0 & 2 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6P | $6$ | $31333236480$ | not computed | 3G | 2C | 6P | 6P | 6P | 6P | $ \left(\begin{array}{rrrrrrrr} 1 & 0 & 0 & 1 & 0 & 2 & 2 & 1 \\ 1 & 0 & 0 & 1 & 0 & 2 & 1 & 1 \\ 2 & 0 & 1 & 0 & 2 & 0 & 1 & 1 \\ 2 & 0 & 1 & 2 & 1 & 2 & 0 & 1 \\ 2 & 0 & 2 & 1 & 2 & 2 & 1 & 1 \\ 2 & 0 & 1 & 1 & 0 & 2 & 2 & 1 \\ 0 & 2 & 0 & 2 & 1 & 2 & 1 & 1 \\ 1 & 1 & 0 & 0 & 2 & 2 & 2 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6Q | $6$ | $31333236480$ | not computed | 3G | 2C | 6Q | 6Q | 6Q | 6Q | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 1 & 1 & 0 & 0 & 2 & 1 \\ 2 & 0 & 2 & 0 & 2 & 2 & 2 & 2 \\ 2 & 2 & 2 & 1 & 0 & 0 & 1 & 1 \\ 1 & 0 & 2 & 1 & 0 & 2 & 1 & 2 \\ 2 & 1 & 0 & 2 & 1 & 2 & 1 & 1 \\ 0 & 2 & 0 & 2 & 1 & 2 & 1 & 2 \\ 2 & 0 & 1 & 0 & 0 & 1 & 0 & 1 \\ 1 & 0 & 0 & 0 & 0 & 2 & 2 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6R | $6$ | $31333236480$ | not computed | 3F | 2C | 6R | 6R | 6R | 6R | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 1 & 1 & 1 & 2 & 2 \\ 1 & 2 & 1 & 1 & 1 & 0 & 2 & 0 \\ 2 & 0 & 2 & 0 & 2 & 1 & 0 & 0 \\ 1 & 0 & 1 & 1 & 2 & 1 & 0 & 0 \\ 0 & 1 & 0 & 2 & 2 & 2 & 2 & 2 \\ 2 & 2 & 2 & 1 & 0 & 2 & 0 & 0 \\ 1 & 2 & 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 1 & 2 & 1 & 2 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 6S | $6$ | $31333236480$ | not computed | 3F | 2C | 6S | 6S | 6S | 6S | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 \\ 0 & 2 & 1 & 2 & 0 & 0 & 2 & 0 \\ 0 & 1 & 2 & 1 & 0 & 2 & 0 & 1 \\ 0 & 2 & 1 & 0 & 1 & 2 & 1 & 1 \\ 0 & 1 & 2 & 2 & 2 & 2 & 1 & 1 \\ 2 & 0 & 1 & 1 & 2 & 1 & 2 & 2 \\ 2 & 2 & 2 & 2 & 1 & 0 & 2 & 2 \\ 2 & 1 & 1 & 1 & 0 & 0 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 7A | $7$ | $362570307840$ | not computed | 7A | 7A | 7A | 1A | 7A | 7A | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 0 & 0 & 2 & 2 & 1 & 0 \\ 0 & 2 & 2 & 0 & 2 & 1 & 0 & 1 \\ 2 & 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 1 & 2 & 0 & 1 & 2 & 0 & 1 & 2 \\ 1 & 1 & 0 & 2 & 2 & 0 & 2 & 0 \\ 2 & 1 & 2 & 2 & 2 & 2 & 0 & 0 \\ 2 & 0 & 2 & 1 & 1 & 0 & 2 & 2 \\ 1 & 2 & 2 & 2 & 1 & 2 & 1 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 8A | $8$ | $3524989104$ | not computed | 4B | 8A | 8A | 8A | 8A | 8A | $ \left(\begin{array}{rrrrrrrr} 2 & 0 & 2 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 2 & 0 & 0 & 0 & 2 & 1 \\ 2 & 1 & 2 & 0 & 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \\ 1 & 2 & 0 & 0 & 2 & 0 & 2 & 2 \\ 1 & 2 & 0 & 0 & 0 & 2 & 0 & 0 \\ 2 & 2 & 0 & 2 & 2 & 1 & 1 & 1 \\ 0 & 2 & 0 & 1 & 1 & 2 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 8B | $8$ | $158624509680$ | not computed | 4B | 8B | 8B | 8B | 8B | 8B | $ \left(\begin{array}{rrrrrrrr} 1 & 1 & 1 & 0 & 1 & 2 & 2 & 1 \\ 1 & 0 & 2 & 2 & 0 & 2 & 1 & 0 \\ 1 & 2 & 2 & 1 & 1 & 0 & 2 & 0 \\ 2 & 2 & 2 & 1 & 2 & 2 & 2 & 1 \\ 2 & 2 & 0 & 0 & 1 & 1 & 2 & 1 \\ 1 & 0 & 1 & 0 & 0 & 1 & 0 & 2 \\ 0 & 2 & 1 & 0 & 0 & 1 & 1 & 1 \\ 1 & 2 & 1 & 2 & 0 & 1 & 2 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 8C | $8$ | $317249019360$ | not computed | 4F | 8C | 8C | 8C | 8C | 8C | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 0 & 0 & 2 & 2 & 1 \\ 1 & 0 & 1 & 0 & 1 & 0 & 2 & 2 \\ 0 & 0 & 2 & 2 & 1 & 1 & 2 & 2 \\ 0 & 0 & 2 & 0 & 2 & 2 & 2 & 0 \\ 2 & 2 & 2 & 0 & 1 & 1 & 1 & 1 \\ 0 & 0 & 1 & 2 & 1 & 2 & 1 & 1 \\ 1 & 0 & 0 & 0 & 2 & 2 & 1 & 2 \\ 0 & 2 & 0 & 0 & 0 & 1 & 0 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9A | $9$ | $1740735360$ | not computed | 9A | 3A | 9A | 9A | 9A | 9A | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 2 & 0 & 1 & 2 & 2 & 0 \\ 0 & 1 & 0 & 0 & 2 & 2 & 2 & 1 \\ 1 & 2 & 0 & 0 & 1 & 2 & 0 & 2 \\ 1 & 2 & 2 & 1 & 1 & 2 & 1 & 0 \\ 1 & 2 & 2 & 0 & 2 & 2 & 1 & 0 \\ 1 & 2 & 2 & 0 & 1 & 0 & 2 & 1 \\ 1 & 2 & 2 & 0 & 1 & 2 & 0 & 1 \\ 1 & 1 & 1 & 0 & 0 & 2 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9B | $9$ | $1740735360$ | not computed | 9B | 3A | 9B | 9B | 9B | 9B | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 1 & 2 & 0 & 1 & 1 \\ 2 & 0 & 2 & 1 & 2 & 1 & 1 & 0 \\ 1 & 1 & 0 & 0 & 0 & 0 & 2 & 1 \\ 1 & 0 & 2 & 2 & 0 & 0 & 2 & 0 \\ 2 & 1 & 1 & 2 & 0 & 2 & 1 & 1 \\ 1 & 2 & 0 & 1 & 1 & 1 & 2 & 0 \\ 0 & 2 & 2 & 1 & 0 & 1 & 1 & 1 \\ 1 & 1 & 1 & 2 & 1 & 2 & 2 & 1 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9C | $9$ | $13925882880$ | not computed | 9C | 3A | 9C | 9C | 9C | 9C | $ \left(\begin{array}{rrrrrrrr} 2 & 0 & 2 & 1 & 0 & 0 & 0 & 2 \\ 0 & 0 & 1 & 2 & 2 & 1 & 1 & 2 \\ 2 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 1 & 2 & 1 & 2 & 2 & 0 & 2 & 2 \\ 1 & 2 & 0 & 0 & 2 & 1 & 2 & 2 \\ 2 & 1 & 2 & 2 & 1 & 0 & 1 & 2 \\ 2 & 2 & 0 & 1 & 0 & 1 & 1 & 1 \\ 2 & 1 & 0 & 1 & 0 & 1 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9D | $9$ | $13925882880$ | not computed | 9D | 3A | 9D | 9D | 9D | 9D | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 0 & 1 & 0 & 2 & 0 & 1 \\ 2 & 2 & 0 & 0 & 2 & 0 & 2 & 2 \\ 0 & 2 & 1 & 0 & 1 & 2 & 0 & 2 \\ 1 & 1 & 1 & 2 & 1 & 0 & 1 & 0 \\ 2 & 0 & 1 & 2 & 2 & 1 & 0 & 2 \\ 2 & 1 & 2 & 1 & 1 & 2 & 1 & 1 \\ 1 & 1 & 1 & 1 & 1 & 2 & 1 & 1 \\ 2 & 2 & 1 & 0 & 2 & 0 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9E | $9$ | $125332945920$ | not computed | 9E | 3E | 9E | 9E | 9E | 9E | $ \left(\begin{array}{rrrrrrrr} 1 & 2 & 1 & 0 & 1 & 0 & 1 & 0 \\ 2 & 1 & 1 & 2 & 1 & 2 & 1 & 1 \\ 1 & 0 & 0 & 0 & 1 & 0 & 1 & 2 \\ 1 & 2 & 0 & 1 & 0 & 2 & 0 & 0 \\ 2 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \\ 2 & 2 & 2 & 0 & 2 & 2 & 2 & 0 \\ 1 & 1 & 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 2 & 0 & 0 & 1 & 2 & 1 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 9F | $9$ | $125332945920$ | not computed | 9F | 3D | 9F | 9F | 9F | 9F | $ \left(\begin{array}{rrrrrrrr} 0 & 0 & 1 & 0 & 1 & 2 & 0 & 1 \\ 2 & 2 & 0 & 2 & 2 & 2 & 0 & 2 \\ 1 & 2 & 0 & 0 & 0 & 2 & 1 & 1 \\ 1 & 2 & 2 & 1 & 0 & 2 & 2 & 1 \\ 0 & 2 & 0 & 2 & 0 & 2 & 1 & 2 \\ 1 & 2 & 2 & 2 & 1 & 1 & 1 & 1 \\ 2 & 2 & 0 & 1 & 2 & 1 & 1 & 0 \\ 0 & 2 & 2 & 1 & 1 & 2 & 0 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 10A | $10$ | $3524989104$ | not computed | 5A | 10A | 2C | 10A | 10A | 10A | $ \left(\begin{array}{rrrrrrrr} 0 & 2 & 0 & 1 & 1 & 2 & 2 & 2 \\ 1 & 1 & 0 & 1 & 1 & 2 & 2 & 2 \\ 1 & 2 & 0 & 0 & 0 & 2 & 0 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 & 1 & 1 \\ 2 & 1 & 0 & 0 & 2 & 1 & 2 & 2 \\ 0 & 0 & 2 & 1 & 0 & 2 & 1 & 1 \\ 1 & 2 & 1 & 0 & 0 & 2 & 2 & 0 \\ 2 & 1 & 2 & 0 & 0 & 1 & 0 & 2 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 10B | $10$ | $63449803872$ | not computed | 5A | 10B | 2A | 10B | 10B | 10B | $ \left(\begin{array}{rrrrrrrr} 2 & 0 & 1 & 2 & 2 & 2 & 1 & 1 \\ 1 & 1 & 0 & 0 & 0 & 1 & 0 & 0 \\ 1 & 2 & 1 & 2 & 2 & 2 & 0 & 2 \\ 2 & 1 & 2 & 0 & 0 & 0 & 0 & 1 \\ 2 & 1 & 2 & 1 & 2 & 0 & 2 & 2 \\ 0 & 2 & 0 & 1 & 2 & 2 & 1 & 2 \\ 0 & 1 & 2 & 2 & 1 & 1 & 0 & 2 \\ 1 & 1 & 2 & 0 & 1 & 2 & 1 & 0 \end{array}\right) $ |
| $\OmegaMinus(8,3)$ | 10C | $10$ | $253799215488$ | not computed | 5A | 10C | 2B | 10C | 10C | 10C | $ \left(\begin{array}{rrrrrrrr} 0 & 1 & 1 & 1 & 0 & 2 & 2 & 0 \\ 2 & 2 & 1 & 2 & 2 & 1 & 2 & 1 \\ 0 & 2 & 0 & 2 & 2 & 0 & 2 & 0 \\ 2 & 2 & 2 & 0 & 1 & 2 & 0 & 0 \\ 2 & 2 & 2 & 2 & 2 & 2 & 2 & 0 \\ 0 & 2 & 1 & 2 & 2 & 2 & 1 & 1 \\ 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 \\ 0 & 2 & 2 & 2 & 1 & 1 & 0 & 0 \end{array}\right) $ |