[GAP Forum] Faithful irreducible characters

[Saad Awaid]

Dear Forum,

 

 

I am trying to find the faithful irreducible characters of  a p-group of order 7^2

 

but I didn't find it what is wrong?

 

I did,

 

 Gps:=AllSmallGroups(Size,7^2,IsPGroup,true);;

 

gap> Gps[1];;
gap> Gps[2];;

gap> Center(Gps[1]);
<pc group of size 49 with 2 generators>
gap> IsCyclic(last);
true

gap> Ir1:=Irr(Gps[1]);;

gap> L1:=List(Ir1,x->KernelOfCharacter(x)=1);
[ false, false, false, false, false, false, false, false, false, false,
  false, false, false, false, false, false, false, false, false, false,
  false, false, false, false, false, false, false, false, false, false,
  false, false, false, false, false, false, false, false, false, false,
  false, false, false, false, false, false, false, false, false ]

 

thanks

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