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There is no function (apart from what is included through GAP) to construct all groups of a given order in Sage. You can certainly use the grpconst module from GAP in Sage using the GAP interface.

If you can make a good case for why it should be included by default in Sage and bring it up on sage-devel, I think the community would discuss its inclusion.

For instance, what kinds of problems would you like to solve using such a function? How would you use it (for research, for demonstrations in an algebra class, etc..) How would the inclusion of the module be better than say including the small groups database (which I assume uses a large amount of disk space)?