FusionConjugacyClasses( subgroup, group )
FusionConjugacyClasses( group , factorgroup )
FusionConjugacyClasses
returns a list denoting the fusion of
conjugacy classes from
the first group to the second one. If both groups have components
charTable
this list is written to the character tables, too.
gap> g := SolvableGroup( 24, 14 ); Sl(2,3) gap> FusionConjugacyClasses( g, g / Subgroup( g, [ g.4 ] ) ); [ 1, 1, 2, 3, 3, 4, 4 ] gap> FusionConjugacyClasses( Subgroup( g, [ g.2, g.3, g.4 ] ), g ); [ 1, 2, 3, 3, 3 ]
GAP 3.4.4