/* Group 17496.ec downloaded from the LMFDB on 25 July 2026. */
 
/* 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([10, -2, -3, -2, -2, -3, 3, 3, 3, 3, 3, 20, 19331, 311582, 90102, 82, 405603, 182653, 794404, 235814, 92224, 234, 357125, 187215, 88105, 755, 346086, 525016, 111746, 2556, 633607, 230417, 143067, 8677, 1172888, 272178, 157348, 29198, 1617609, 613219, 14429, 97239]); a,b,c,d,e,f,g,h := Explode([GPC.1, GPC.3, GPC.5, GPC.6, GPC.7, GPC.8, GPC.9, GPC.10]); AssignNames(~GPC, ["a", "a2", "b", "b2", "c", "d", "e", "f", "g", "h"]);
GPerm := PermutationGroup< 27 | (1,24,12,8,26,10,6,21,11,2,22,13)(3,25,17,7,19,18,4,23,15,9,20,14)(5,27,16), (2,5,9,6)(3,4,8,7)(10,16,18,12)(13,14,15,17)(19,23,22,27)(20,24,21,26) >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_17496_ec := rec< RF |  
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false>; 

 
/* Character Table */
G:= GPerm;
C := SequenceToConjugacyClasses([car<Integers(), Integers(), G> |< 1, 1, Id(G)>,< 2, 729, G!(1,2)(3,6)(4,8)(5,7)(10,14)(11,13)(12,18)(16,17)(19,24)(20,26)(21,22)(25,27)>,< 3, 8, G!(1,3,8)(2,4,6)(5,7,9)(10,17,12)(11,15,13)(14,18,16)(19,21,26)(20,22,24)(23,25,27)>,< 3, 24, G!(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,21,26)(20,22,24)(23,25,27)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,22,25)(20,23,26)(21,24,27)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,23,24)(20,21,25)(22,26,27)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,24,23)(20,25,21)(22,27,26)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,25,22)(20,26,23)(21,27,24)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,26,21)(20,24,22)(23,27,25)>,< 3, 24, G!(10,11,18)(12,13,14)(15,16,17)(19,27,20)(21,23,22)(24,26,25)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,21,26)(20,22,24)(23,25,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,22,25)(20,23,26)(21,24,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,23,24)(20,21,25)(22,26,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,24,23)(20,25,21)(22,27,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,25,22)(20,26,23)(21,27,24)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,11,18)(12,13,14)(15,16,17)(19,26,21)(20,24,22)(23,27,25)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,22,25)(20,23,26)(21,24,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,23,24)(20,21,25)(22,26,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,24,23)(20,25,21)(22,27,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,25,22)(20,26,23)(21,27,24)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,12,17)(11,13,15)(14,16,18)(19,26,21)(20,24,22)(23,27,25)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,23,24)(20,21,25)(22,26,27)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,25,22)(20,26,23)(21,27,24)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,13,16)(11,14,17)(12,15,18)(19,26,21)(20,24,22)(23,27,25)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,20,27)(21,22,23)(24,25,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,24,23)(20,25,21)(22,27,26)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,14,15)(11,12,16)(13,17,18)(19,25,22)(20,26,23)(21,27,24)>,< 3, 24, G!(1,2,9)(3,4,5)(6,7,8)(10,15,14)(11,16,12)(13,18,17)(19,26,21)(20,24,22)(23,27,25)>,< 3, 81, G!(1,21,17)(2,22,16)(3,26,12)(4,24,14)(5,25,13)(6,20,18)(7,27,11)(8,19,10)(9,23,15)>,< 3, 81, G!(1,17,21)(2,16,22)(3,12,26)(4,14,24)(5,13,25)(6,18,20)(7,11,27)(8,10,19)(9,15,23)>,< 4, 1458, G!(1,4,2,8)(3,7,6,5)(10,17,14,16)(11,18,13,12)(19,21,24,22)(20,25,26,27)>,< 4, 1458, G!(1,2,4,3)(5,8,9,6)(10,18,16,17)(11,14,15,12)(19,25,21,24)(20,27,23,22)>,< 4, 1458, G!(2,4,9,7)(3,6,8,5)(10,11,14,13)(12,16,18,17)(19,27,24,25)(20,21,26,22)>,< 6, 729, G!(1,16,21,2,17,22)(3,18,26,6,12,20)(4,10,24,8,14,19)(5,11,25,7,13,27)(9,15,23)>,< 6, 729, G!(1,22,17,2,21,16)(3,20,12,6,26,18)(4,19,14,8,24,10)(5,27,13,7,25,11)(9,23,15)>,< 9, 648, G!(1,25,14,3,27,18,8,23,16)(2,26,13,4,19,11,6,21,15)(5,20,10,7,22,17,9,24,12)>,< 9, 648, G!(1,16,23,8,18,27,3,14,25)(2,15,21,6,11,19,4,13,26)(5,12,24,9,17,22,7,10,20)>,< 12, 1458, G!(1,19,16,4,21,10,2,24,17,8,22,14)(3,25,18,7,26,13,6,27,12,5,20,11)(9,23,15)>,< 12, 1458, G!(1,14,22,8,17,24,2,10,21,4,16,19)(3,11,20,5,12,27,6,13,26,7,18,25)(9,15,23)>,< 12, 1458, G!(1,17,23,2,10,22,4,18,20,3,16,27)(5,14,19,8,15,25,9,12,21,6,11,24)(7,13,26)>,< 12, 1458, G!(1,27,16,3,20,18,4,22,10,2,23,17)(5,24,11,6,21,12,9,25,15,8,19,14)(7,26,13)>,< 12, 1458, G!(1,15,23)(2,18,22,4,17,20,9,12,21,7,16,26)(3,14,27,6,13,24,8,10,25,5,11,19)>,< 12, 1458, G!(1,23,15)(2,26,16,7,21,12,9,20,17,4,22,18)(3,19,11,5,25,10,8,24,13,6,27,14)>]); 
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, 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, 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, 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, 1, 1, 1, 1, -1, -1, -1, -1]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1^-1,K.1,1,1,1,K.1,K.1^-1,K.1^-1,K.1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1,K.1^-1,1,1,1,K.1^-1,K.1,K.1,K.1^-1,K.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(3: Sparse := true);
S := [ K |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,K.1^-1,K.1,-1,-1,1,K.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,K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1,K.1^-1,-1,-1,1,K.1^-1,K.1,K.1,K.1^-1,-1*K.1,-1*K.1^-1,-1*K.1^-1,-1*K.1,K.1^-1,K.1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1^-1,K.1,-1,1,-1,K.1,K.1^-1,K.1^-1,K.1,-1*K.1^-1,-1*K.1,K.1,K.1^-1,-1*K.1,-1*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1,K.1^-1,-1,1,-1,K.1^-1,K.1,K.1,K.1^-1,-1*K.1,-1*K.1^-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(3: Sparse := true);
S := [ K |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,K.1^-1,K.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,-1*K.1,-1*K.1^-1]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |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,K.1,K.1^-1,1,-1,-1,K.1^-1,K.1,K.1,K.1^-1,K.1,K.1^-1,-1*K.1^-1,-1*K.1,-1*K.1^-1,-1*K.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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := -1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,-2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2*K.1^-1,2*K.1,0,0,0,-2*K.1,-2*K.1^-1,2*K.1^-1,2*K.1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |2,-2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2*K.1,2*K.1^-1,0,0,0,-2*K.1^-1,-2*K.1,2*K.1,2*K.1^-1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[8, 0, 8, -1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 8, 8, 8, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0]; 
x`IsCharacter := true;
x`Schur := 1;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,8,-1,8,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8,8*K.1^-1,8*K.1,0,0,0,0,0,-1*K.1^-1,-1*K.1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
K := CyclotomicField(3: Sparse := true);
S := [ K |8,0,8,-1,8,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,8,8*K.1,8*K.1^-1,0,0,0,0,0,-1*K.1,-1*K.1^-1,0,0,0,0,0,0]; 
x := CR!S; 
x`IsCharacter := true;
x`Schur := 0;
x`IsIrreducible := true; 
x := CR!\[24, 0, 24, 6, -3, -3, -3, -3, -3, -3, -3, 6, 6, -3, -3, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, 6, -3, 6, -3, 6, 6, -3, -3, 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!\[24, 0, -3, -3, 6, -3, -3, -3, -3, -3, -3, 15, 6, -3, -3, -3, -3, -3, -3, -3, 6, -3, 6, 6, -3, -3, 6, -3, 6, -3, -3, 6, -3, 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!\[24, 0, -3, 6, 6, -3, -3, -3, -3, -3, -3, -3, 15, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 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!\[24, 0, -3, 15, 6, 6, 6, 6, 6, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 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!\[24, 0, 24, -3, -3, -3, -3, -3, 6, 6, 6, -3, -3, 6, 6, 6, -3, -3, -3, -3, -3, -3, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, -3, 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!\[24, 0, 24, -3, -3, 6, 6, 6, -3, -3, -3, -3, -3, -3, -3, -3, 6, 6, 6, -3, 6, -3, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, -3, 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!\[24, 0, -3, -3, -3, -9, -9, 9, 3, 3, 3, 6, -3, 3, 3, -6, 9, 0, 0, -3, 0, 6, -6, 0, 6, 6, 0, -3, -6, -3, -3, 3, -3, 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!\[24, 0, -3, -3, -3, -9, 9, -9, 3, 3, 3, 6, -3, 3, -6, 3, 0, 9, 0, 6, 0, 6, -6, 0, -3, -3, 0, -3, 3, -3, 6, -6, -3, 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!\[24, 0, -3, -3, -3, -6, 3, 3, 0, 0, 9, -3, 6, 0, 0, 0, -6, -6, 3, -3, 3, -3, 9, 3, -3, 6, 3, -3, -9, -3, 6, -9, 6, 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!\[24, 0, -3, -3, -3, 0, 0, 9, -6, 3, 3, -3, 6, -6, -6, 3, 0, 0, 0, 6, 9, 6, 3, -9, -3, -3, -9, 6, 3, -3, -3, 3, -3, 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!\[24, 0, -3, -3, -3, 0, 9, 0, 3, -6, 3, -3, 6, -6, 3, -6, 0, 0, 0, -3, -9, 6, 3, 9, 6, -3, -9, -3, 3, 6, -3, 3, -3, 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!\[24, 0, -3, -3, -3, 3, -6, 3, 0, 9, 0, -3, 6, 0, 0, 0, -6, 3, -6, -3, 3, -3, -9, 3, 6, -3, 3, -3, 9, 6, -3, -9, 6, 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!\[24, 0, -3, -3, -3, 3, 3, -6, 9, 0, 0, -3, 6, 0, 0, 0, 3, -6, -6, 6, 3, -3, -9, 3, -3, -3, 3, 6, -9, -3, -3, 9, 6, 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!\[24, 0, -3, -3, -3, 3, 3, 3, -9, -9, 9, 6, -3, 9, 0, 0, 3, 3, -6, -3, -6, -3, 0, -6, -3, -3, 3, 6, 0, 6, -3, 0, 6, 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!\[24, 0, -3, -3, -3, 3, 3, 3, -9, 9, -9, 6, -3, 0, 9, 0, 3, -6, 3, 6, -6, -3, 0, 3, -3, -3, -6, -3, 0, -3, 6, 0, 6, 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!\[24, 0, -3, -3, -3, 3, 3, 3, 9, -9, -9, 6, -3, 0, 0, 9, -6, 3, 3, -3, 3, -3, 0, -6, 6, 6, -6, -3, 0, -3, -3, 0, 6, 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!\[24, 0, -3, -3, -3, 9, -9, -9, 3, 3, 3, 6, -3, -6, 3, 3, 0, 0, 9, -3, 0, 6, 3, 0, -3, -3, 0, 6, -6, 6, -3, -6, -3, 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!\[24, 0, -3, -3, -3, 9, 0, 0, 3, 3, -6, -3, 6, 3, -6, -6, 0, 0, 0, -3, -9, 6, 3, -9, -3, 6, 9, -3, 3, -3, 6, 3, -3, 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!\[24, 0, -3, 6, -3, -6, -6, 3, 0, 0, 0, -3, -3, -9, -9, 9, 3, 3, 3, -3, -6, -3, 0, 3, -3, -3, 3, -3, 0, 6, 6, 9, 6, 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!\[24, 0, -3, 6, -3, -6, 3, -6, 0, 0, 0, -3, -3, -9, 9, -9, 3, 3, 3, -3, 3, -3, 0, -6, -3, 6, 3, 6, 9, -3, -3, 0, 6, 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!\[24, 0, -3, 6, -3, 0, 0, 0, -6, -6, 3, -3, -3, 3, 3, 3, -9, -9, 9, 6, 0, 6, -6, 0, 6, -3, 9, -3, 3, -3, -3, 3, -3, 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!\[24, 0, -3, 6, -3, 0, 0, 0, -6, 3, -6, -3, -3, 3, 3, 3, -9, 9, -9, -3, 0, 6, 3, 9, -3, 6, 0, 6, -6, -3, -3, 3, -3, 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!\[24, 0, -3, 6, -3, 0, 0, 0, 3, -6, -6, -3, -3, 3, 3, 3, 9, -9, -9, -3, 9, 6, 3, 0, -3, -3, 0, -3, 3, 6, 6, -6, -3, 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!\[24, 0, -3, 6, -3, 3, -6, -6, 0, 0, 0, -3, -3, 9, -9, -9, 3, 3, 3, 6, 3, -3, 9, 3, 6, -3, -6, -3, 0, -3, -3, 0, 6, 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!\[24, 0, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, -3, -3, 6, -3, -3, 6, -3, 6, -3, -3, 6, -3, 6, -12, 6, 6, -3, -3, 6, -3, -3, 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!\[24, 0, -3, -3, 6, -3, -3, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, 6, -3, -3, -3, 6, -12, 6, -3, 6, 6, 6, -3, -3, -3, 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!\[24, 0, -3, -3, 6, -3, 6, -3, -3, 6, -3, -3, -3, -3, -3, 6, 6, -3, -3, 6, -3, -3, 6, -3, 6, 6, 6, -3, -3, 6, -12, -3, -3, 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!\[24, 0, -3, -3, 6, -3, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, -3, -3, 6, -12, 6, -3, -3, -3, 6, -3, -3, 6, -3, 6, 6, 6, -3, 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!\[24, 0, -3, -3, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, 6, -3, -3, -3, -3, -3, -3, 6, 6, 6, -3, 6, 6, -12, 6, -3, -3, 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!\[24, 0, -3, -3, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, 6, 6, -3, -3, -3, -3, 6, -3, -12, -3, 6, 6, 6, -3, 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_17496_ec:= KnownIrreducibles(CR);