The function group_id
requires that the
Small Groups Library of E. A. O'Brien, B. Eick, and H. U. Besche
be installed (you can do this by typing
./sage -i database_gap-4.4.9
in the Sage home
directory).
sage: G = PermutationGroup(['(1,2,3)(4,5)', '(3,4)']) sage: G.order() 120 sage: G.group_id() # requires optional GAP database package [120, 34]
Another example of using the small groups database:
sage: gap_console() GAP4, Version: 4.4.6 of 02-Sep-2005, x86_64-unknown-linux-gnu-gcc gap> G:=Group((4,6,5)(7,8,9),(1,7,2,4,6,9,5,3)); Group([ (4,6,5)(7,8,9), (1,7,2,4,6,9,5,3) ]) gap> StructureDescription(G); "(((C3 x C3) : Q8) : C3) : C2"
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