Zooming
 
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If a group is very large, you may want to view its multiplication table shrunk to the point where you can see it comfortably on screen. Conversely, if a group is very small, you may want to blow up the multiplication table. You will find buttons on the toolbar and the edit menu for zooming in and out. |
| Organizing |
The order of elements across the top and down the left side of a multiplication table is chosen by Group Explorer to be somewhat natural. But if you would prefer a different order, simply click and drag on a (non-identity) element in either the top row or left column and drop it where you want it. The table will change when you drop it.
You can also reorganize the table according to subgroups by using the drop-down list on the Table tab of the controls. For full documentation on the Table tab, refer to the relevant section of the user manual. |
Highlighting
  
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You can highlight the multiplication table according to various properties of the group elements. This can be useful for studying different properties of the group. Right-click on various subsets in the Subsets tab of the controls and choose from among the highlighting options. See this example, which highlights each conjugacy class a different color, thereby exhibiting a class equation visually. For more full documentation on the Subsets tab, refer to the relevant section of the user manual. |
| Cosets |
It is particularly useful to combine both the organization and highlighting of a multiplication table together (and use the cosets separation option on the Table tab) to create diagrams like this one, which illustrate quotient groups. |