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I'm trying to look at the restriction of characters of a group on all of

its subgroups. The function "Restricted" seems like the logical choice, but

for some reason I can't get it to work.

Here's what I tried :

# first define the parent group

gap> group:=PrimitiveGroup(8,3);;

# get a list of (nonconjugate) subgroups

gap> subgroups:=List(ConjugacyClassesSubgroups(group),Representative);;

# get their characters

gap> chars:=List(subgroups,CharTable);;

# the character of the parent group is the last element in the list

gap> groupchar:=chars[Length(chars)];

CharTable( PSL(2,7) )

# now for the restriction

gap> Restricted(groupchar,chars[3],groupchar.irreducibles);

false

# even this "dosen't work" (restricting on the group itself)

gap> Restricted(groupchar,groupchar,groupchar.irreducibles);

false

I realize that somehow I have define fusion maps of the subgroups into

the parent group, but I haven't figured out how. I also suspect that their

might be a better approach to the problem. I'd appreciate any suggestitions.

Thanks.

Jacob.

PS: I'm still using version 3r4p0.

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