47.21 ClassTypesTom

ClassTypesTom( tom )

ClassTypesTom distinguishes isomorphism types of the classes of subgroups of the table of marks tom as far as this is possible. Two subgroups are clearly not isomorphic if they have different orders. Moreover, isomorphic subgroups must contain the same number of subgroups of each type.

The types are represented by numbers. ClassTypesTom returns a list which contains for each class of subgroups its corresponding number.

    gap> a6 := TableOfMarks( "A6" );;
    gap> ClassTypesTom( a6 );
    [ 1, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15,
      15, 16 ] 

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GAP 3.4.4
April 1997