Is it possible to reorder space groups?
Yes. System administrators drag the groups into the order they want on the Space groups settings page. The menu on the left follows this order.
Yes.
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Click your profile picture in the top right corner, then click "Settings".
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In the menu on the left, open "General" and click "Space groups".
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Drag the groups to put them in the order you want.
The menu on the left shows the groups in this order. To learn more, read Create groups of spaces.