/* Group 7776.is downloaded from the LMFDB on 23 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, -2, -3, -2, -3, -2, -2, -3, -3, 3, 31680, 63561, 51, 26162, 232803, 136573, 63503, 113, 146404, 58814, 7524, 211685, 75615, 39985, 6875, 8865, 175, 191526, 115936, 17666, 31116, 8026, 206, 23057, 51878, 4378, 1148, 302419, 8459, 3669]); a,b,c,d,e,f := Explode([GPC.1, GPC.2, GPC.4, GPC.6, GPC.9, GPC.10]); AssignNames(~GPC, ["a", "b", "b2", "c", "c2", "d", "d2", "d4", "e", "f"]); GPerm := PermutationGroup< 15 | (1,3)(2,6)(4,5)(7,9)(10,12,11,15,14,13), (1,4,6)(2,7,3,8,5,9)(10,13,14,15)(11,12), (2,5,3)(7,8,9)(10,11,14)(13,15), (1,2,4,5,6,3)(7,8,9)(10,11,14) >; /* Booleans */ RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable : BoolElt >; booleans_7776_is := rec< RF | Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, nilpotent := false, perfect := false, quasisimple := false, rational := true, solvable := true, supersolvable := false>; /* Character Table */ G:= GPerm; C := SequenceToConjugacyClasses([car |< 1, 1, Id(G)>,< 2, 6, G!(11,14)>,< 2, 6, G!(10,13)(11,15)(12,14)>,< 2, 9, G!(2,9)(3,8)(4,6)(5,7)>,< 2, 9, G!(1,5)(2,6)(3,4)>,< 2, 9, G!(1,6)(2,5)(7,8)>,< 2, 9, G!(11,14)(13,15)>,< 2, 54, G!(1,4)(2,5)(8,9)(11,14)>,< 2, 54, G!(1,2)(3,4)(5,6)(7,8)(10,12)(11,13)(14,15)>,< 2, 54, G!(2,7)(3,8)(5,9)(13,15)>,< 2, 54, G!(2,8)(3,9)(5,7)(10,12)(11,13)(14,15)>,< 2, 54, G!(1,4)(2,8)(3,7)(5,9)(11,14)>,< 2, 54, G!(2,3)(4,6)(8,9)(10,12)(11,13)(14,15)>,< 2, 81, G!(1,8)(2,5)(4,9)(6,7)(11,14)(13,15)>,< 2, 81, G!(3,5)(4,6)(7,8)(10,14)(12,13)>,< 2, 81, G!(1,8)(4,7)(6,9)(10,14)(12,15)>,< 3, 2, G!(1,6,4)(2,3,5)(7,8,9)>,< 3, 4, G!(12,15,13)>,< 3, 4, G!(10,11,14)(12,13,15)>,< 3, 6, G!(2,3,5)(7,9,8)>,< 3, 6, G!(1,7,5)(2,6,8)(3,4,9)>,< 3, 8, G!(1,6,4)(2,3,5)(7,8,9)(12,15,13)>,< 3, 8, G!(1,6,4)(2,3,5)(7,8,9)(10,11,14)(12,13,15)>,< 3, 12, G!(1,7,2)(3,6,8)(4,9,5)>,< 3, 24, G!(2,5,3)(7,8,9)(12,15,13)>,< 3, 24, G!(2,5,3)(7,8,9)(10,11,14)(12,13,15)>,< 3, 24, G!(1,7,5)(2,6,8)(3,4,9)(12,15,13)>,< 3, 24, G!(1,7,5)(2,6,8)(3,4,9)(10,14,11)(12,15,13)>,< 3, 48, G!(1,5,8)(2,9,6)(3,7,4)(10,11,14)>,< 3, 48, G!(1,3,9)(2,8,4)(5,7,6)(10,14,11)(12,13,15)>,< 4, 18, G!(10,12)(11,15,14,13)>,< 4, 162, G!(2,3)(4,6)(8,9)(10,13,11,15)(12,14)>,< 4, 162, G!(2,9)(3,8)(4,6)(5,7)(10,13)(11,12,14,15)>,< 4, 162, G!(2,7)(3,8)(5,9)(10,15,11,13)(12,14)>,< 6, 12, G!(11,14)(12,13,15)>,< 6, 12, G!(10,12,11,13,14,15)>,< 6, 12, G!(1,4,6)(2,5,3)(7,9,8)(13,15)>,< 6, 12, G!(1,4,6)(2,5,3)(7,9,8)(10,12)(11,13)(14,15)>,< 6, 18, G!(2,7,3,9,5,8)(4,6)>,< 6, 18, G!(1,2,4,5,6,3)(7,8,9)>,< 6, 18, G!(1,2,7,6,5,8)(3,9,4)>,< 6, 18, G!(1,6,4)(2,3,5)(7,8,9)(11,14)(13,15)>,< 6, 24, G!(1,4,6)(2,5,3)(7,9,8)(11,14)(12,13,15)>,< 6, 24, G!(1,4,6)(2,5,3)(7,9,8)(10,12,11,13,14,15)>,< 6, 36, G!(3,5)(4,6)(7,8)(12,13,15)>,< 6, 36, G!(3,5)(4,6)(7,8)(10,11,14)(12,13,15)>,< 6, 36, G!(2,3,5)(7,9,8)(13,15)>,< 6, 36, G!(2,3,5)(7,9,8)(10,12)(11,13)(14,15)>,< 6, 36, G!(2,7)(3,8)(5,9)(12,13,15)>,< 6, 36, G!(2,7)(3,8)(5,9)(10,11,14)(12,13,15)>,< 6, 36, G!(2,9)(3,8)(4,6)(5,7)(12,13,15)>,< 6, 36, G!(2,9)(3,8)(4,6)(5,7)(10,11,14)(12,13,15)>,< 6, 36, G!(1,2,9)(3,7,6)(4,5,8)(13,15)>,< 6, 36, G!(1,2,9)(3,7,6)(4,5,8)(10,12)(11,13)(14,15)>,< 6, 54, G!(1,6,4)(2,5,3)(10,11)(12,15)>,< 6, 54, G!(1,7,5)(2,6,8)(3,4,9)(10,11)(13,15)>,< 6, 72, G!(2,3,5)(7,9,8)(11,14)(12,13,15)>,< 6, 72, G!(2,3,5)(7,9,8)(10,12,11,13,14,15)>,< 6, 72, G!(2,7,3,9,5,8)(4,6)(12,13,15)>,< 6, 72, G!(2,7,3,9,5,8)(4,6)(10,11,14)(12,13,15)>,< 6, 72, G!(1,2,4,5,6,3)(7,8,9)(12,13,15)>,< 6, 72, G!(1,2,4,5,6,3)(7,8,9)(10,11,14)(12,13,15)>,< 6, 72, G!(1,2,7)(3,8,6)(4,5,9)(13,15)>,< 6, 72, G!(1,2,7)(3,8,6)(4,5,9)(10,12)(11,13)(14,15)>,< 6, 72, G!(1,2,7,6,5,8)(3,9,4)(12,13,15)>,< 6, 72, G!(1,2,7,6,5,8)(3,9,4)(10,11,14)(12,13,15)>,< 6, 72, G!(1,2,9)(3,7,6)(4,5,8)(11,14)(12,13,15)>,< 6, 72, G!(1,2,9)(3,7,6)(4,5,8)(10,12,11,13,14,15)>,< 6, 108, G!(1,8,2,4,9,5)(3,6,7)(11,14)>,< 6, 108, G!(1,6,4)(2,8,5,7,3,9)(13,15)>,< 6, 108, G!(1,4)(2,9,3,8,5,7)(11,14)>,< 6, 108, G!(1,4,6)(2,9,3,7,5,8)(10,13)(11,12)(14,15)>,< 6, 108, G!(1,6)(3,5)(8,9)(10,11)(12,13,15)>,< 6, 108, G!(1,5)(2,4)(3,6)(8,9)(10,15,11,12,14,13)>,< 6, 108, G!(1,3)(2,6)(4,5)(7,9)(11,14)(12,13,15)>,< 6, 108, G!(1,2)(3,6)(4,5)(10,14,11)(12,15)>,< 6, 108, G!(1,2,9)(3,8,6,5,7,4)(10,15)(11,12)(13,14)>,< 6, 108, G!(1,4)(2,3)(7,8)(10,13,11,12,14,15)>,< 6, 108, G!(1,5,9)(2,7,6)(3,8,4)(10,14)(13,15)>,< 6, 108, G!(1,8)(4,7)(6,9)(10,15,11,13,14,12)>,< 6, 108, G!(1,6)(2,9,5,7,3,8)(10,13)(11,12)(14,15)>,< 6, 144, G!(1,8,5)(2,6,9)(3,4,7)(10,14,11)(13,15)>,< 6, 144, G!(1,9,3)(2,4,8)(5,6,7)(10,15,14,12,11,13)>,< 6, 162, G!(1,7,4,8,6,9)(2,5)(11,14)(13,15)>,< 6, 162, G!(1,9,2)(3,4,7,5,6,8)(10,14)(12,13)>,< 6, 162, G!(1,9,4,8,6,7)(2,3,5)(10,14)(12,15)>,< 6, 216, G!(1,5,4,2,6,3)(7,8)(10,13,14,12,11,15)>,< 6, 216, G!(1,4,6)(2,7,3,8,5,9)(10,15,11,12,14,13)>,< 6, 216, G!(1,8,5,6,7,2)(3,4,9)(10,14,11)(12,15)>,< 6, 216, G!(1,7,5)(2,4,8,3,6,9)(10,13,14,12,11,15)>,< 6, 216, G!(1,6,4)(2,7,5,9,3,8)(10,11)(12,15,13)>,< 6, 216, G!(1,2,6,5,4,3)(8,9)(10,11)(12,13,15)>,< 12, 36, G!(1,4,6)(2,5,3)(7,9,8)(10,12)(11,13,14,15)>,< 12, 108, G!(1,4,6)(2,3,5)(10,12,11,15)(13,14)>,< 12, 108, G!(1,2,9)(3,7,6)(4,5,8)(10,15,11,12)(13,14)>,< 12, 216, G!(1,9,5)(2,6,7)(3,4,8)(10,15,14,13)(11,12)>,< 12, 324, G!(1,5,7)(2,9,6,3,8,4)(10,15,11,13)(12,14)>,< 12, 324, G!(2,7,3,9,5,8)(4,6)(10,13)(11,15,14,12)>,< 12, 324, G!(1,6,4)(2,8,5,7,3,9)(10,13,11,15)(12,14)>]); 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 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, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -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, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 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, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 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, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -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, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 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, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -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, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -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, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 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, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 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, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -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, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 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, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -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!\[2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, -1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 2, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, -1, -1, 0, 0, 2, 2, -1, -1, -1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 0, 2, 0, 2, 2, 2, 2, -1, 0, 0, 2, 2, 2, 0, 0, -1, -1, 0, 0, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, 2, 2, 0, 0, -1, 0, 0, 2, 2, 0, 0, 0, -1, 0, -1, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, -1, 2, -1, 2, -1, 0, -1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 0, 0, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 0, 0, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, -2, -2, 0, 0, -2, -2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 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, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 0, 0, -2, -2, 0, 0, 2, 2, -2, -2, 0, 0, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2, 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, 0, 0, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 0, 0, -2, -2, 0, 0, -2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 2, 2, -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 2, 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, 0, 0, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, -2, -2, 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, 0, 0, 2, 0, 2, 0, 0, 2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 0, -2, 0, -2, -2, -2, -2, 1, 0, 0, 2, -2, -2, 0, 0, 1, 1, 0, 0, -2, -2, -2, -2, -1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, -2, -2, 0, 0, -1, 0, 0, 2, 2, 0, 0, 0, -1, 0, -1, 1, 1, 1, 0, 0, -1, 0, 0, 0, 0, -1, 2, -1, 2, -1, 0, 1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -2, 0, 0, -2, -2, -2, -2, 0, 0, 1, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 1, 1, 2, -1, -2, -2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, 0, 0, 0, 2, 0, 0, 0, -1, 2, -1, 0, 0, 1, 1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 2, 2, -1, -1, 1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, -1, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 1, 1, 2, -1, -2, -2, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, 1, 0, 0, 0, -2, 0, 0, 0, 1, -2, -1, 0, 0, 1, 1, 0, -1, 0, 0, 0, 1, 1, 0, 0, 2, 2, -1, -1, -1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, -2, 2, 0, 0, 2, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 0, 2, 0, -2, -2, -2, -2, -1, 0, 0, 2, -2, -2, 0, 0, 1, 1, 0, 0, 2, 2, -2, -2, -1, 2, 1, 1, -1, -1, 0, 0, 1, 1, 0, 0, -2, -2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 0, -1, 0, 1, 1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 2, -1, 2, -1, 0, -1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 2, -2, 0, 0, 2, 0, -2, 0, 0, 2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -2, 0, 2, 0, -2, 2, -2, 2, 1, 0, 0, 2, -2, 2, 0, 0, 1, -1, 0, 0, -2, -2, -2, 2, -1, 2, 1, -1, 1, 1, 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, -1, 0, 0, -2, 2, 0, 0, 0, -1, 0, 1, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, -2, 1, -2, 1, 0, -1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -2, 2, 0, 0, -2, 2, -2, 2, 0, 0, 1, 2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 1, -1, 2, -1, -2, 2, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, -1, 0, 0, 0, 2, 0, 0, 0, 1, -2, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, -1, 1, 0, 0, -2, -2, 1, 1, -1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -2, -2, 0, 0, -2, 2, -2, 2, 0, 0, -1, 2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 1, -1, 2, -1, -2, 2, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, -1, 2, -1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, -1, 0, 0, -2, -2, 1, 1, 1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 0, -2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -2, 0, -2, 0, -2, 2, -2, 2, -1, 0, 0, 2, -2, 2, 0, 0, 1, -1, 0, 0, 2, 2, -2, 2, -1, 2, 1, -1, -1, -1, 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, -1, 0, -1, 1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 1, -2, 1, -2, 1, 0, 1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, -2, 0, 0, 2, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -2, 0, 2, 0, 2, -2, 2, -2, 1, 0, 0, 2, 2, -2, 0, 0, -1, 1, 0, 0, -2, -2, 2, -2, -1, 2, -1, 1, 1, 1, 0, 0, -1, 1, 0, 0, 2, -2, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, -1, 0, -1, -1, 1, 1, 0, 0, -1, 0, 0, 0, 0, 1, -2, 1, -2, 1, 0, -1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -2, 2, 0, 0, 2, -2, 2, -2, 0, 0, 1, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, -1, 1, 2, -1, 2, -2, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 0, 0, 0, -2, 0, 0, 0, -1, 2, -1, 0, 0, -1, 1, 0, 1, 0, 0, 0, 1, -1, 0, 0, -2, -2, 1, 1, -1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, -2, -2, 0, 0, 2, -2, 2, -2, 0, 0, -1, 2, 2, -2, 2, 2, 2, -2, 0, 0, 0, 0, -1, 1, 2, -1, 2, -2, 0, 0, 0, 0, -1, 1, -1, -1, -1, 1, -1, 0, 0, 0, 2, 0, 0, 0, 1, -2, -1, 0, 0, -1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, -2, -2, 1, 1, 1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, -2, 2, 0, 0, 2, 0, -2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -2, 0, -2, 0, 2, -2, 2, -2, -1, 0, 0, 2, 2, -2, 0, 0, -1, 1, 0, 0, 2, 2, 2, -2, -1, 2, -1, 1, -1, -1, 0, 0, -1, 1, 0, 0, 2, -2, 0, 0, -1, 0, 0, -2, 2, 0, 0, 0, -1, 0, 1, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, -1, -2, 1, -2, 1, 0, 1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, -2, 0, 0, 2, 0, -2, 0, 0, -2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 0, -2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, -1, -1, 0, 0, -2, -2, 2, 2, -1, 2, -1, -1, 1, 1, 0, 0, -1, -1, 0, 0, 2, 2, 0, 0, 1, 0, 0, -2, -2, 0, 0, 0, -1, 0, 1, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, -1, 2, -1, 0, 1, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[2, 2, 2, 0, 0, -2, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 2, 2, 2, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 1, -2, -1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, -1, -1, 1, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, 4, 4, 1, -2, -2, -2, -2, 1, 1, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 1, 1, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 1, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 2, 4, 4, 4, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 2, 4, 4, 4, 0, 0, -1, -2, 1, 0, 2, -2, 1, -2, 1, 0, 2, 0, 0, 0, -1, -2, 1, -2, 1, 0, 2, -2, 1, 0, -1, 0, 0, 0, 2, 0, -1, 0, 0, 2, -1, 0, -1, 2, 0, -1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 2, 0, 4, 4, 4, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, -1, 0, 2, 0, 4, 4, 4, 0, -1, 0, 1, -2, 2, 0, 1, -2, 1, -2, 2, 0, 0, 0, -1, 0, 1, -2, 1, -2, 2, 0, 1, -2, -1, 0, 2, 2, 2, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, -2, 4, 4, 4, -2, -2, -2, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 2, -4, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 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!\[4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, -2, 4, 4, -2, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 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!\[4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 4, 4, -2, 4, 4, -2, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 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!\[4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 4, -2, 4, 4, 4, -2, -2, -2, 4, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 2, -4, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 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!\[4, -2, 0, 4, 4, 4, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, 1, 0, -2, 0, 4, 4, 4, 0, 1, 0, 1, -2, -2, 0, 1, -2, 1, -2, -2, 0, 0, 0, 1, 0, 1, -2, 1, -2, -2, 0, 1, -2, 1, 0, -2, -2, -2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, -2, 4, 4, 4, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -2, 4, 4, 4, 0, 0, 1, -2, 1, 0, -2, -2, 1, -2, 1, 0, -2, 0, 0, 0, 1, -2, 1, -2, 1, 0, -2, -2, 1, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, -2, 1, 0, 1, -2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, 4, 4, 1, -2, -2, -2, -2, 1, 1, 4, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 4, -4, -4, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, -1, -1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 1, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, 4, 4, 1, -2, -2, -2, -2, 1, 1, -4, 0, 0, 0, -4, 4, -4, 4, 0, 0, 0, 4, -4, 4, 0, 0, 2, -2, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, -1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, -1, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -2, 4, 4, 1, -2, -2, -2, -2, 1, 1, -4, 0, 0, 0, 4, -4, 4, -4, 0, 0, 0, 4, 4, -4, 0, 0, -2, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, -1, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -2, 0, -4, -4, 4, 0, -2, 0, 2, 0, 2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, 1, 0, -2, 0, -4, -4, 4, 0, 1, 0, 1, -2, -2, 0, -1, 2, -1, 2, -2, 0, 0, 0, 1, 0, -1, 2, -1, 2, -2, 0, 1, -2, 1, 0, -2, 2, 2, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -2, 0, -4, 4, -4, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, 1, 0, -2, 0, -4, 4, -4, 0, 1, 0, -1, 2, -2, 0, 1, -2, -1, 2, -2, 0, 0, 0, 1, 0, -1, 2, 1, -2, -2, 0, -1, 2, 1, 0, 2, -2, 2, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, -2, 0, 4, -4, -4, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, 1, 0, -2, 0, 4, -4, -4, 0, 1, 0, -1, 2, -2, 0, -1, 2, 1, -2, -2, 0, 0, 0, 1, 0, 1, -2, -1, 2, -2, 0, -1, 2, 1, 0, 2, 2, -2, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, -2, -4, -4, 4, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -2, -4, -4, 4, 0, 0, 1, -2, 1, 0, -2, 2, -1, 2, -1, 0, -2, 0, 0, 0, 1, 2, -1, 2, -1, 0, -2, -2, 1, 0, 1, 0, 0, 0, 2, 0, -1, 0, 0, -2, 1, 0, -1, 2, 0, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, -2, -4, 4, -4, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -2, -4, 4, -4, 0, 0, 1, 2, -1, 0, -2, -2, 1, 2, -1, 0, -2, 0, 0, 0, 1, 2, -1, -2, 1, 0, -2, 2, -1, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 2, -1, 0, 1, 2, 0, 1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, -2, 4, -4, -4, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, -2, 4, -4, -4, 0, 0, 1, 2, -1, 0, -2, 2, -1, -2, 1, 0, -2, 0, 0, 0, 1, -2, 1, 2, -1, 0, -2, 2, -1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, -1, 0, -1, -2, 0, 1, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 2, -4, -4, 4, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 2, -4, -4, 4, 0, 0, -1, -2, 1, 0, 2, 2, -1, 2, -1, 0, 2, 0, 0, 0, -1, 2, -1, 2, -1, 0, 2, -2, 1, 0, -1, 0, 0, 0, -2, 0, 1, 0, 0, 2, -1, 0, 1, -2, 0, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 2, -4, 4, -4, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 2, -4, 4, -4, 0, 0, -1, 2, -1, 0, 2, -2, 1, 2, -1, 0, 2, 0, 0, 0, -1, 2, -1, -2, 1, 0, 2, 2, -1, 0, -1, 0, 0, 0, 2, 0, 1, 0, 0, -2, 1, 0, -1, -2, 0, -1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 0, 2, 4, -4, -4, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 4, -2, 1, 4, 4, -2, 1, 4, -2, 1, -2, 1, -2, 1, 0, 0, 0, 0, 0, -1, 0, 2, 4, -4, -4, 0, 0, -1, 2, -1, 0, 2, 2, -1, -2, 1, 0, 2, 0, 0, 0, -1, -2, 1, 2, -1, 0, 2, 2, -1, 0, -1, 0, 0, 0, -2, 0, -1, 0, 0, -2, 1, 0, 1, 2, 0, -1, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 2, 0, -4, -4, 4, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, -1, 0, 2, 0, -4, -4, 4, 0, -1, 0, 1, -2, 2, 0, -1, 2, -1, 2, 2, 0, 0, 0, -1, 0, -1, 2, -1, 2, 2, 0, 1, -2, -1, 0, 2, -2, -2, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 2, 0, -4, 4, -4, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, -1, 0, 2, 0, -4, 4, -4, 0, -1, 0, -1, 2, 2, 0, 1, -2, -1, 2, 2, 0, 0, 0, -1, 0, -1, 2, 1, -2, 2, 0, -1, 2, -1, 0, -2, 2, -2, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[4, 2, 0, 4, -4, -4, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 4, 1, -2, 4, 4, 1, -2, 4, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0, -1, 0, 2, 0, 4, -4, -4, 0, -1, 0, -1, 2, 2, 0, -1, 2, 1, -2, 2, 0, 0, 0, -1, 0, 1, -2, -1, 2, 2, 0, -1, 2, -1, 0, -2, -2, 2, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, 6, 6, 0, 2, 0, 6, 0, 0, 2, 2, 0, 0, 0, 0, 2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 6, -3, -3, 0, -1, 0, -3, -3, -3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, -1, 0, -3, 0, 0, 0, 0, 0, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, 6, 6, 0, -2, 0, 6, 0, 0, -2, -2, 0, 0, 0, 0, -2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -2, 6, 6, -3, -3, 0, 1, 0, -3, -3, -3, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, -6, -6, 0, -2, 0, 6, 0, 0, 2, 2, 0, 0, 0, 0, -2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -2, -6, -6, 3, 3, 0, 1, 0, -3, 3, 3, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, -3, 0, 0, 0, 0, 0, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, -6, -6, 0, 2, 0, 6, 0, 0, -2, -2, 0, 0, 0, 0, 2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, -6, -6, 3, 3, 0, -1, 0, -3, 3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, -3, 0, 0, 0, 0, 0, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, -6, 6, 0, -2, 0, 6, 0, 0, 2, -2, 0, 0, 0, 0, -2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 2, -6, 6, 3, -3, 0, 1, 0, -3, 3, -3, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, 0, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, -6, 6, 0, 2, 0, 6, 0, 0, -2, 2, 0, 0, 0, 0, 2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, -6, 6, 3, -3, 0, -1, 0, -3, 3, -3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, 6, -6, 0, -2, 0, 6, 0, 0, -2, 2, 0, 0, 0, 0, -2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 2, 6, -6, -3, 3, 0, 1, 0, -3, -3, 3, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, -1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[6, 6, -6, 0, 2, 0, 6, 0, 0, 2, -2, 0, 0, 0, 0, 2, -3, 6, 6, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 6, -6, -3, 3, 0, -1, 0, -3, -3, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, 0, 1]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, -4, 2, 8, -4, -4, 2, -4, -4, 2, 2, -1, 2, -1, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, -4, 0, 0, -2, -4, 2, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 4, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, -4, 2, -4, 8, -4, 2, -4, 2, -1, -4, 2, 2, -1, 0, 0, 0, 0, 0, -2, 0, 4, -4, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, -4, 2, 0, 4, 0, 0, 0, 1, 2, -1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 4, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, -4, 8, -4, 2, -4, -4, 2, -4, -1, 2, -1, 2, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, -4, 0, -2, 0, 2, -4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -1, 2, 1, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 2, -4, -4, 8, 2, -4, -4, -1, 2, 2, -4, -1, 2, 0, 0, 0, 0, -2, 0, 4, 0, -4, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, -4, 4, 0, 0, 0, 1, 0, -1, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, -4, -4, 8, 8, 2, -4, -4, -4, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 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!\[8, -4, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, -4, 8, -4, 2, -4, -4, 2, -4, -1, 2, -1, 2, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -4, 0, 2, 0, 2, -4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -1, 2, -1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -4, 0, 8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 2, -4, -4, 8, 2, -4, -4, -1, 2, 2, -4, -1, 2, 0, 0, 0, 0, 2, 0, -4, 0, -4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, -4, -4, 0, 0, 0, -1, 0, -1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, -4, 0, 0, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, -4, 2, 8, -4, -4, 2, -4, -4, 2, 2, -1, 2, -1, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, -4, 0, 0, 2, -4, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, -4, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, -4, 2, -4, 8, -4, 2, -4, 2, -1, -4, 2, 2, -1, 0, 0, 0, 0, 0, 2, 0, -4, -4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -4, 2, 0, -4, 0, 0, 0, -1, 2, -1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 2, -4, -4, 8, 2, -4, -4, -1, 2, 2, -4, -1, 2, 0, 0, 0, 0, 2, 0, -4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 4, -4, 0, 0, 0, -1, 0, 1, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, -4, 0, 0, 0, -8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, -4, 8, -4, 2, -4, -4, 2, -4, -1, 2, -1, 2, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 4, 0, 2, 0, -2, 4, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, -2, -1, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, -4, -8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, -4, 2, -4, 8, -4, 2, -4, 2, -1, -4, 2, 2, -1, 0, 0, 0, 0, 0, 2, 0, -4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4, -2, 0, -4, 0, 0, 0, -1, -2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, -4, 2, 8, -4, -4, 2, -4, -4, 2, 2, -1, 2, -1, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 4, 0, 0, 2, 4, -2, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 4, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, -4, 2, -4, 8, -4, 2, -4, 2, -1, -4, 2, 2, -1, 0, 0, 0, 0, 0, -2, 0, 4, 4, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 4, -2, 0, 4, 0, 0, 0, 1, -2, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 0, 4, 0, 0, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, -4, 2, 8, -4, -4, 2, -4, -4, 2, 2, -1, 2, -1, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 4, 0, 0, -2, 4, -2, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 2, -4, -4, 8, 2, -4, -4, -1, 2, 2, -4, -1, 2, 0, 0, 0, 0, -2, 0, 4, 0, 4, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 4, 4, 0, 0, 0, 1, 0, 1, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[8, 4, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, -4, 8, -4, 2, -4, -4, 2, -4, -1, 2, -1, 2, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 4, 0, -2, 0, -2, 4, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 1, -2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[12, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 4, -6, 12, 12, 0, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[12, 0, 0, 0, 4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, 12, 12, 0, 0, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 6, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -8, 4, -8, -8, -8, 4, 4, 4, -2, 4, -2, -2, 1, 0, 0, 0, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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!\[16, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 4, -8, -8, -8, 4, -8, 4, -2, 4, -2, 4, 1, -2, 0, 0, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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!\[16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 4, -8, -8, -8, 4, -8, 4, -2, 4, -2, 4, 1, -2, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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!\[16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -8, 4, -8, -8, -8, 4, 4, 4, -2, 4, -2, -2, 1, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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!\[24, 0, 12, 0, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, -4, 0, 0, 0, 3, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 12, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -12, 6, -12, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, -4, 0, 0, 3, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -12, 0, 0, -8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -12, 6, -12, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 4, 0, 0, -3, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, -12, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -12, 6, -12, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, -4, 0, 0, -3, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, -12, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, -12, 6, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 4, 0, 0, 0, -3, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, -12, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, -4, 0, 0, 0, -3, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 0, 12, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, -12, 6, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, 4, 0, 0, 0, 3, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; x := CR!\[24, 12, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -12, 6, -12, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0]; x`IsCharacter := true; x`Schur := 1; x`IsIrreducible := true; _ := CharacterTable(G : Check := 0); chartbl_7776_is:= KnownIrreducibles(CR);