51.27 RepresentativesFusions

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 ] ]

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