RepresentativesFusions( subtblautomorphisms, listoffusionmaps,
tblautomorphisms )
RepresentativesFusions( subtbl, listoffusionmaps, tbl )
returns a list of representatives of the list listoffusionmaps of subgroup
fusion maps under the operations of maximal admissible subgroups of the table
automorphism groups of the character tables. subtblautomorphisms is a list
of generators of the automorphisms of the subgroup table, tblautomorphisms
is a list of generators of the automorphisms of the supergroup table.
if the parameters subtbl and tbl (character tables) are used, the values
of subtbl.automorphisms
and subtbl.automorphisms
will be
taken.
gap> s:= CharTable( "2F4(2)" );; ru:= CharTable( "Ru" );; gap> SubgroupFusions( s, ru ); [ [ 1, 2, 2, 4, 5, 7, 8, 9, 11, 14, 14, 15, 16, 18, 20, 25, 26, 5, 5, 6, 8, 14, 13, 19, 19, 26, 25, 27, 27 ], [ 1, 2, 2, 4, 5, 7, 8, 9, 11, 14, 14, 15, 16, 18, 20, 26, 25, 5, 5, 6, 8, 14, 13, 19, 19, 25, 26, 27, 27 ] ] gap> RepresentativesFusions( s, last, ru ); [ [ 1, 2, 2, 4, 5, 7, 8, 9, 11, 14, 14, 15, 16, 18, 20, 25, 26, 5, 5, 6, 8, 14, 13, 19, 19, 26, 25, 27, 27 ] ]
GAP 3.4.4