47.7 WeightsTom

WeightsTom( tom )

WeightsTom extracts the weights from a table of marks tom, i.e., the diagonal entries, indicating the index of a subgroup in its normalizer.

    gap> wt := WeightsTom( a5 ); 
    [ 60, 2, 2, 3, 2, 1, 1, 1, 1 ] 

This information may be used to obtain the numbers of conjugate supergroups from the marks.

    gap> marks := Marks( a5 );; 
    gap> List( [ 1 .. 9 ], x -> marks[x] / wt[x] );
    [ [ 1 ], [ 15, 1 ], [ 10, 1 ], [ 5, 1, 1 ], [ 6, 1 ], [ 10, 2, 1, 1 ],
      [ 6, 2, 1, 1 ], [ 5, 1, 2, 1, 1 ], [ 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ]

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