/* Group 64.56 downloaded from the LMFDB on 30 October 2025. */
 
/* Various presentations of this group are stored in this file: 
	 GPC is polycyclic presentation GPerm is permutation group 
	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
 Many characteristics of the group are stored as booleans in a record: 
	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
	 solvable, supersolvable 
 
 The character table is stored as chartbl_n_i where n is the order of 
 the group and i is which group of that order it is. Conjugacy classes 
 are stored in the variable 'C' with elements from the group 'G'. 
*/
 
/* Constructions */
GPC := PCGroup([6, 2, 2, 2, 2, 2, 2, 31, 850, 88]); a,b,c,d := Explode([GPC.1, GPC.2, GPC.4, GPC.5]); AssignNames(~GPC, ["a", "b", "b2", "c", "d", "d2"]);
GPerm := PermutationGroup< 14 | (1,2,3,4)(8,11)(12,14), (1,2)(3,4)(7,8,10,12)(9,11,13,14), (1,3)(2,4)(5,6), (1,3)(2,4)(7,9)(8,11)(10,13)(12,14), (1,3)(2,4), (7,10)(8,12)(9,13)(11,14) >;
GLFp := MatrixGroup< 5, GF(2) | [[1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1]] >;
GLZq := MatrixGroup< 2, Integers(8) | [[5, 4, 4, 5], [1, 2, 0, 1], [3, 4, 4, 3], [7, 6, 2, 3], [1, 4, 0, 1], [3, 0, 0, 3]] >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_64_56 := rec< RF |  
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true>; 

 
/* Character Table */
G:= GLZq;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Matrix(2, [1, 0, 0, 1])>,< 2, 1, Matrix(2, [5, 4, 0, 5])>,< 2, 1, Matrix(2, [3, 4, 4, 3])>,< 2, 1, Matrix(2, [5, 0, 0, 5])>,< 2, 1, Matrix(2, [5, 0, 4, 5])>,< 2, 1, Matrix(2, [3, 0, 4, 3])>,< 2, 1, Matrix(2, [7, 0, 4, 7])>,< 2, 1, Matrix(2, [7, 0, 0, 7])>,< 2, 1, Matrix(2, [1, 4, 4, 1])>,< 2, 1, Matrix(2, [7, 4, 4, 7])>,< 2, 1, Matrix(2, [7, 4, 0, 7])>,< 2, 1, Matrix(2, [3, 4, 0, 3])>,< 2, 1, Matrix(2, [3, 0, 0, 3])>,< 2, 1, Matrix(2, [1, 4, 0, 1])>,< 2, 1, Matrix(2, [5, 4, 4, 5])>,< 2, 1, Matrix(2, [1, 0, 4, 1])>,< 4, 2, Matrix(2, [1, 2, 0, 1])>,< 4, 2, Matrix(2, [1, 6, 0, 1])>,< 4, 2, Matrix(2, [7, 6, 2, 3])>,< 4, 2, Matrix(2, [3, 2, 6, 7])>,< 4, 2, Matrix(2, [5, 6, 4, 5])>,< 4, 2, Matrix(2, [5, 2, 4, 5])>,< 4, 2, Matrix(2, [7, 2, 2, 3])>,< 4, 2, Matrix(2, [3, 6, 6, 7])>,< 4, 2, Matrix(2, [7, 4, 2, 7])>,< 4, 2, Matrix(2, [3, 4, 6, 3])>,< 4, 2, Matrix(2, [3, 2, 4, 3])>,< 4, 2, Matrix(2, [3, 6, 4, 3])>,< 4, 2, Matrix(2, [5, 6, 2, 1])>,< 4, 2, Matrix(2, [1, 2, 6, 5])>,< 4, 2, Matrix(2, [7, 0, 2, 7])>,< 4, 2, Matrix(2, [3, 0, 6, 3])>,< 4, 2, Matrix(2, [7, 6, 0, 7])>,< 4, 2, Matrix(2, [7, 2, 0, 7])>,< 4, 2, Matrix(2, [5, 2, 2, 1])>,< 4, 2, Matrix(2, [1, 6, 6, 5])>,< 4, 2, Matrix(2, [5, 0, 2, 5])>,< 4, 2, Matrix(2, [1, 0, 6, 1])>,< 4, 2, Matrix(2, [5, 4, 2, 5])>,< 4, 2, Matrix(2, [1, 4, 6, 1])>]); 
CR := CharacterRing(G);
x := CR!\[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,1,1,-1,-1*K.1,-1*K.1,K.1,-1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,1,1,K.1,-1,-1*K.1,K.1,1,-1,-1,K.1,-1*K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,1,1,-1,K.1,K.1,-1*K.1,-1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,K.1,-1*K.1,1,1,-1*K.1,-1,K.1,-1*K.1,1,-1,-1,-1*K.1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,1,1,-1,-1*K.1,-1*K.1,K.1,1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,K.1,-1,-1,-1*K.1,1,K.1,-1*K.1,-1,1,1,K.1,K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,1,1,-1,K.1,K.1,-1*K.1,1,K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1,-1,K.1,1,-1*K.1,K.1,-1,1,1,-1*K.1,-1*K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,-1,-1,-1,-1*K.1,1,K.1,K.1,-1*K.1,1,1,-1*K.1,1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,-1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,-1,-1,-1,K.1,1,-1*K.1,-1*K.1,K.1,1,1,K.1,1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,1,1,1,-1*K.1,-1,-1*K.1,-1*K.1,K.1,-1,-1,K.1,-1,K.1,-1*K.1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,1,1,1,K.1,-1,K.1,K.1,-1*K.1,-1,-1,-1*K.1,-1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,1,1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,-1,1,-1,K.1,K.1,1,-1*K.1,-1*K.1,-1*K.1,1,K.1,-1,-1,K.1,-1*K.1,-1*K.1,K.1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,1,1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1,1,-1,-1*K.1,-1*K.1,1,K.1,K.1,K.1,1,-1*K.1,-1,-1,-1*K.1,K.1,K.1,-1*K.1,1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,1,1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,1,-1,1,K.1,K.1,-1,-1*K.1,K.1,K.1,-1,-1*K.1,1,1,-1*K.1,K.1,K.1,K.1,-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,-1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,1,1,K.1,-1*K.1,K.1,K.1,K.1,1,-1,1,-1*K.1,-1*K.1,-1,K.1,-1*K.1,-1*K.1,-1,K.1,1,1,K.1,-1*K.1,-1*K.1,-1*K.1,-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,-1,1,-1,1,-1,-1,1,-1,1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-1,-1,-1,-1*K.1,K.1,-1,-1*K.1,-1*K.1,K.1,1,K.1,1,1,K.1,K.1,-1*K.1,K.1,1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,-1,1,-1,1,-1,-1,1,-1,1,K.1,K.1,-1*K.1,K.1,-1*K.1,-1,-1,-1,K.1,-1*K.1,-1,K.1,K.1,-1*K.1,1,-1*K.1,1,1,-1*K.1,-1*K.1,K.1,-1*K.1,1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,-1,1,-1,1,-1,-1,1,-1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,1,1,1,-1*K.1,K.1,1,-1*K.1,K.1,-1*K.1,-1,-1*K.1,-1,-1,-1*K.1,-1*K.1,K.1,K.1,-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,-1,1,-1,1,-1,1,-1,-1,1,-1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,1,1,1,K.1,-1*K.1,1,K.1,-1*K.1,K.1,-1,K.1,-1,-1,K.1,K.1,-1*K.1,-1*K.1,-1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,-1,-1,1,1,-1*K.1,-1,-1*K.1,K.1,K.1,-1,1,-1*K.1,1,-1*K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,K.1,K.1,-1,-1*K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,-1,-1,1,1,K.1,-1,K.1,-1*K.1,-1*K.1,-1,1,K.1,1,K.1,K.1,-1*K.1,K.1,-1*K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1,K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,-1*K.1,1,K.1,-1*K.1,-1*K.1,1,-1,K.1,-1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,1,K.1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,-1,1,-1,1,-1,1,-1,-1,1,1,-1,-1,1,-1,1,-1,-1,K.1,1,-1*K.1,K.1,K.1,1,-1,-1*K.1,-1,K.1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,1,-1*K.1,-1*K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,-1,-1,-1*K.1,K.1,-1*K.1,-1,K.1,-1*K.1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,K.1,-1,1,-1*K.1,1,-1*K.1,K.1,-1,-1,1,K.1,K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,-1,-1,K.1,-1*K.1,K.1,-1,-1*K.1,K.1,-1*K.1,-1*K.1,K.1,K.1,K.1,-1*K.1,-1,1,K.1,1,K.1,-1*K.1,-1,-1,1,-1*K.1,-1*K.1,1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,-1,-1,-1*K.1,K.1,-1*K.1,1,K.1,K.1,-1*K.1,-1*K.1,-1*K.1,-1*K.1,K.1,K.1,1,-1,K.1,-1,K.1,-1*K.1,1,1,-1,K.1,-1*K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(4: Sparse := true);
S := [ K |1,1,1,1,1,-1,-1,-1,-1,1,1,-1,1,-1,-1,-1,K.1,-1*K.1,K.1,1,-1*K.1,-1*K.1,K.1,K.1,K.1,K.1,-1*K.1,-1*K.1,1,-1,-1*K.1,-1,-1*K.1,K.1,1,1,-1,-1*K.1,K.1,-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
x := CR!\[2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
x := CR!\[2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
_ := CharacterTable(G : Check := 0); 
chartbl_64_56:= KnownIrreducibles(CR);