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in order to use GAP's AllSmallGroups function, you need to install the optional spkg database_gap-4.4.12.p0 e.g. by starting sage, and issuing, the sage prompt, the command


It does not matter whether or not it is wrapped in Sage, as long one does everything at GAP prompt. In the worst case one can do something like

sage: gg=gap('AllSmallGroups(4)')

although this would create a list of objects Sage might have problems dealing with, e.g. they need not be permutation groups. You can still do e.g.

sage: g=gg[1]

sage: g.IsAlternatingGroup()