# Group 1152.156080 downloaded from the LMFDB on 01 November 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 a record chartbl_n_i where n is the order # of the group and i is which group of that order it is. The record is # converted to a character table using ConvertToLibraryCharacterTableNC # Constructions GPC := PcGroupCode(1526828714687060280896209582925782566846079634378245676993688242977243303589897,1152); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.7; e := GPC.8; GPerm := Group( (1,2,4,7)(3,5,8,6)(10,11), (13,15), (2,5)(3,8)(6,7), (1,3,4,8)(2,6,7,5), (1,4)(2,7)(3,8)(5,6), (13,14,15), (9,10,11), (12,13)(14,15), (12,14)(13,15) ); # Booleans booleans_1152_156080 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := false); # Character Table chartbl_1152_156080:=rec(); chartbl_1152_156080.IsFinite:= true; chartbl_1152_156080.UnderlyingCharacteristic:= 0; chartbl_1152_156080.UnderlyingGroup:= GPC; chartbl_1152_156080.Size:= 1152; chartbl_1152_156080.InfoText:= "Character table for group 1152.156080 downloaded from the LMFDB."; chartbl_1152_156080.Identifier:= " C3:SD16*S4 "; chartbl_1152_156080.NrConjugacyClasses:= 60; chartbl_1152_156080.ConjugacyClasses:= [ of ..., f5*f6, f7*f8*f9, f5*f6*f7, f2, f1, f1*f5, f2*f8*f9, f1*f2, f9^2, f6^2, f6^2*f9^2, f4*f6^2, f1*f7, f4*f6^2*f8*f9, f1*f5*f7*f8*f9, f1*f4*f5*f6, f1*f4*f5*f6*f7*f8*f9, f2*f3*f4*f5*f6, f1*f2*f7, f2*f3*f4*f7*f8*f9, f1*f2*f3*f4*f6^2*f8*f9, f1*f2*f3*f5*f6*f7*f8, f5*f6*f9^2, f2*f9, f2*f9^2, f7*f8*f9^2, f5*f6*f7*f9, f5*f6^2*f7, f1*f9, f1*f5*f9, f2*f8, f2*f7*f9, f5*f9^2, f1*f2*f9, f1*f2*f9^2, f2*f6, f2*f6*f9, f2*f6*f8, f3*f6, f3*f4*f5*f6, f3*f6*f8, f3*f5*f6^2*f8, f1*f3*f5*f7*f9, f1*f3*f4*f6*f7*f9, f1*f3*f5*f6^2*f7, f1*f3*f4*f8*f9, f4*f5*f9, f1*f8, f4*f5*f8, f1*f5*f7*f9, f4*f5*f6^2*f8*f9, f1*f4*f9, f1*f4*f8, f1*f2*f8, f1*f2*f7*f9, f4*f9, f2*f3*f4*f6*f8*f9, f3*f4*f6*f7, f3*f5*f6*f8*f9]; chartbl_1152_156080.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60]; chartbl_1152_156080.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 11, 12, 2, 3, 2, 3, 2, 4, 2, 3, 2, 2, 4, 10, 10, 10, 10, 10, 11, 10, 10, 10, 10, 12, 10, 10, 11, 12, 12, 13, 13, 13, 13, 13, 13, 15, 15, 24, 27, 24, 27, 29, 24, 28, 27, 27, 34, 29, 52, 52], [1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 2, 5, 5, 3, 4, 2, 6, 7, 8, 8, 2, 9, 9, 5, 5, 5, 40, 41, 42, 43, 44, 45, 46, 47, 13, 14, 15, 16, 13, 17, 18, 20, 20, 13, 19, 40, 41]]; chartbl_1152_156080.SizesCentralizers:= [1152, 1152, 384, 384, 288, 192, 192, 96, 48, 576, 144, 72, 576, 192, 192, 192, 96, 96, 96, 48, 32, 16, 16, 576, 288, 288, 192, 192, 144, 96, 96, 96, 96, 72, 48, 48, 36, 36, 36, 192, 192, 64, 64, 32, 32, 32, 32, 288, 96, 96, 96, 72, 48, 48, 48, 48, 36, 12, 24, 24]; chartbl_1152_156080.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "3A", "3B", "3C", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "4H", "4I", "4J", "4K", "6A", "6B1", "6B-1", "6C", "6D", "6E", "6F", "6G", "6H1", "6H-1", "6I", "6J1", "6J-1", "6K", "6L1", "6L-1", "8A1", "8A-1", "8B1", "8B-1", "8C1", "8C-1", "8D1", "8D-1", "12A", "12B", "12C", "12D", "12E", "12F", "12G", "12H1", "12H-1", "12I", "12J", "24A1", "24A-1"]; chartbl_1152_156080.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24]; chartbl_1152_156080.Irr:= [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1], [1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1], [1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1], [1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1], [1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, -1, -1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, -1, 2, 2, 0, 0, -1, 0, 0, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, -1, 0, 0, 0, 0, -1, -1, -1, -1], [2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0], [2, 2, 2, 2, 0, -2, -2, 0, 0, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 2, 2, 0, -2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 0, -2, -2, 0, -2, 0, 0, 0], [2, 2, 2, 2, -2, -2, -2, -2, 2, -1, 2, -1, 2, -2, -2, 2, -2, -2, 0, 2, 0, 0, 0, -1, 1, 1, -1, -1, 2, 1, 1, 1, 1, -1, -1, -1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 2, -1, 1, 1, -1, -1, 0, 0, 0], [2, 2, 2, 2, -2, 0, 0, -2, 0, 2, -1, -1, 2, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, -2, -2, 2, 2, -1, -2, -2, 0, 0, -1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, -1, 0, 0, 0, 0, -1, 1, -1, -1], [2, 2, 2, 2, -2, 0, 0, -2, 0, 2, -1, -1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, -2, -2, 2, 2, -1, -2, -2, 0, 0, -1, 0, 0, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 2, 0, -1, 0, 0, 0, 0, -1, -1, 1, 1], [2, 2, 2, 2, -2, 2, 2, -2, -2, -1, 2, -1, 2, 2, 2, 2, 2, 2, 0, -2, 0, 0, 0, -1, 1, 1, -1, -1, 2, 1, 1, -1, -1, -1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 1, -1, -1, 1, -1, 0, 0, 0], [2, 2, 2, 2, 2, -2, -2, 2, -2, -1, 2, -1, 2, -2, -2, 2, -2, -2, 0, -2, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, -1, 1, 1, -1, 1, 1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 2, 1, 1, 1, 1, -1, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, -1, -1, 2, 0, 0, 2, 0, 0, -2, 0, -2, 0, 0, 2, 2, 2, 2, 2, -1, 2, 2, 0, 0, -1, 0, 0, -1, -1, -1, -2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 2, 0, -1, 0, 0, 0, 0, -1, 1, 1, 1], [2, -2, 2, -2, 0, -2, 2, 0, 0, 2, 2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^3], [2, -2, 2, -2, 0, -2, 2, 0, 0, 2, 2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, E(8)+E(8)^3, -1*E(8)-E(8)^3], [2, -2, 2, -2, 0, 2, -2, 0, 0, 2, 2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^3], [2, -2, 2, -2, 0, 2, -2, 0, 0, 2, 2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, -2, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, E(8)+E(8)^3, -1*E(8)-E(8)^3], [2, 2, 2, 2, 0, -2, -2, 0, 0, -1, 2, -1, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, -1, -1-2*E(3), 1+2*E(3), -1, -1, 2, -1-2*E(3), 1+2*E(3), 1, 1, -1, 1+2*E(3), -1-2*E(3), 0, -1-2*E(3), 1+2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -1-2*E(3), -1, -1, 1+2*E(3), 1, 0, 0, 0], [2, 2, 2, 2, 0, -2, -2, 0, 0, -1, 2, -1, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, -1, 1+2*E(3), -1-2*E(3), -1, -1, 2, 1+2*E(3), -1-2*E(3), 1, 1, -1, -1-2*E(3), 1+2*E(3), 0, 1+2*E(3), -1-2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1+2*E(3), -1, -1, -1-2*E(3), 1, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, -1, 2, -1, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, -1, -1-2*E(3), 1+2*E(3), -1, -1, 2, -1-2*E(3), 1+2*E(3), -1, -1, -1, -1-2*E(3), 1+2*E(3), 0, -1-2*E(3), 1+2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -2, 1+2*E(3), 1, 1, -1-2*E(3), 1, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, -1, 2, -1, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, -1, 1+2*E(3), -1-2*E(3), -1, -1, 2, 1+2*E(3), -1-2*E(3), -1, -1, -1, 1+2*E(3), -1-2*E(3), 0, 1+2*E(3), -1-2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -2, -1-2*E(3), 1, 1, 1+2*E(3), 1, 0, 0, 0], [3, 3, -1, -1, 3, 1, 1, -1, 1, 3, 0, 0, 3, -1, -1, -1, 1, -1, 3, -1, -1, 1, -1, 3, 3, 3, -1, -1, 0, -1, -1, 1, 1, 0, 1, 1, 0, 0, 0, 3, 3, -1, -1, 1, 1, -1, -1, 3, -1, -1, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0], [3, 3, -1, -1, 3, -1, -1, -1, -1, 3, 0, 0, 3, 1, 1, -1, -1, 1, 3, 1, -1, -1, 1, 3, 3, 3, -1, -1, 0, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, 3, 3, -1, -1, -1, -1, 1, 1, 3, 1, -1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0], [3, 3, -1, -1, -3, -1, -1, 1, 1, 3, 0, 0, 3, 1, 1, -1, -1, 1, -3, -1, 1, 1, -1, 3, -3, -3, -1, -1, 0, 1, 1, -1, -1, 0, 1, 1, 0, 0, 0, 3, 3, -1, -1, -1, -1, 1, 1, 3, 1, -1, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0], [3, 3, -1, -1, -3, -1, -1, 1, 1, 3, 0, 0, 3, 1, 1, -1, -1, 1, 3, -1, -1, -1, 1, 3, -3, -3, -1, -1, 0, 1, 1, -1, -1, 0, 1, 1, 0, 0, 0, -3, -3, 1, 1, 1, 1, -1, -1, 3, 1, -1, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0], [3, 3, -1, -1, -3, 1, 1, 1, -1, 3, 0, 0, 3, -1, -1, -1, 1, -1, -3, 1, 1, -1, 1, 3, -3, -3, -1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 0, 0, 0, 3, 3, -1, -1, 1, 1, -1, -1, 3, -1, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 0], [3, 3, -1, -1, -3, 1, 1, 1, -1, 3, 0, 0, 3, -1, -1, -1, 1, -1, 3, 1, -1, 1, -1, 3, -3, -3, -1, -1, 0, 1, 1, 1, 1, 0, -1, -1, 0, 0, 0, -3, -3, 1, 1, -1, -1, 1, 1, 3, -1, -1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 0], [3, 3, -1, -1, 3, -1, -1, -1, -1, 3, 0, 0, 3, 1, 1, -1, -1, 1, -3, 1, 1, 1, -1, 3, 3, 3, -1, -1, 0, -1, -1, -1, -1, 0, -1, -1, 0, 0, 0, -3, -3, 1, 1, 1, 1, -1, -1, 3, 1, -1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0], [3, 3, -1, -1, 3, 1, 1, -1, 1, 3, 0, 0, 3, -1, -1, -1, 1, -1, -3, -1, 1, -1, 1, 3, 3, 3, -1, -1, 0, -1, -1, 1, 1, 0, 1, 1, 0, 0, 0, -3, -3, 1, 1, -1, -1, 1, 1, 3, -1, -1, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, -2, -2, 1, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 1, 0, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4, -2, -2, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [4, 4, 4, 4, -4, 0, 0, -4, 0, -2, -2, 1, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, 2, 2, 0, 0, 1, 0, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0], [4, -4, 4, -4, 0, -4, 4, 0, 0, -2, 4, -2, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, -4, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 4, -4, 0, 0, -2, 4, -2, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 2, -4, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, 0, 0, 0, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(8)+E(8)^3, -1*E(8)-E(8)^3], [4, -4, 4, -4, 0, 0, 0, 0, 0, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^3], [4, 4, 4, 4, 0, 0, 0, 0, 0, -2, -2, 1, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, -2-4*E(3), 2+4*E(3), -2, -2, -2, -2-4*E(3), 2+4*E(3), 0, 0, 1, 0, 0, 0, 1+2*E(3), -1-2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, -2, -2, 1, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 2+4*E(3), -2-4*E(3), -2, -2, -2, 2+4*E(3), -2-4*E(3), 0, 0, 1, 0, 0, 0, -1-2*E(3), 1+2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, -1, 0, 0, 0], [6, 6, -2, -2, 6, 2, 2, -2, 2, -3, 0, 0, 6, -2, -2, -2, 2, -2, 0, -2, 0, 0, 0, -3, -3, -3, 1, 1, 0, 1, 1, -1, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, 1, 0, 1, -1, 1, 1, 0, 0, 0, 0], [6, 6, -2, -2, 0, -2, -2, 0, 0, 6, 0, 0, -6, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 6, 0, 0, -2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0], [6, 6, -2, -2, 0, 2, 2, 0, 0, 6, 0, 0, -6, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 6, 0, 0, -2, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -2, 2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0], [6, 6, -2, -2, 6, -2, -2, -2, -2, -3, 0, 0, 6, 2, 2, -2, -2, 2, 0, 2, 0, 0, 0, -3, -3, -3, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, 1, -1, 0, -1, 1, -1, -1, 0, 0, 0, 0], [6, 6, -2, -2, -6, -2, -2, 2, 2, -3, 0, 0, 6, 2, 2, -2, -2, 2, 0, -2, 0, 0, 0, -3, 3, 3, 1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, 1, -1, 0, 1, 1, -1, 1, 0, 0, 0, 0], [6, 6, -2, -2, -6, 2, 2, 2, -2, -3, 0, 0, 6, -2, -2, -2, 2, -2, 0, 2, 0, 0, 0, -3, 3, 3, 1, 1, 0, -1, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, 1, 0, -1, -1, 1, -1, 0, 0, 0, 0], [6, -6, -2, 2, 0, -2, 2, 0, 0, 6, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -3*E(8)-3*E(8)^3, 3*E(8)+3*E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, -2, 2, 0, 0, 6, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3*E(8)+3*E(8)^3, -3*E(8)-3*E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 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0, 0, 0, 0, 0, 0, 0, 0, 3, -1, -1, -1, 0, -1-2*E(3), -1, 1, 1+2*E(3), 0, 0, 0, 0], [6, 6, -2, -2, 0, 2, 2, 0, 0, -3, 0, 0, -6, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, -3, -3-6*E(3), 3+6*E(3), 1, 1, 0, 1+2*E(3), -1-2*E(3), -1, -1, 0, -1-2*E(3), 1+2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 1, 0, -1-2*E(3), 1, -1, 1+2*E(3), 0, 0, 0, 0], [6, 6, -2, -2, 0, 2, 2, 0, 0, -3, 0, 0, -6, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, -3, 3+6*E(3), -3-6*E(3), 1, 1, 0, -1-2*E(3), 1+2*E(3), -1, -1, 0, 1+2*E(3), -1-2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 1, 0, 1+2*E(3), 1, -1, -1-2*E(3), 0, 0, 0, 0], [8, -8, 8, -8, 0, 0, 0, 0, 0, -4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 4, 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, 0, 0, 0, 0, 0, 0], [12, -12, -4, 4, 0, -4, 4, 0, 0, -6, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -12, -4, 4, 0, 4, -4, 0, 0, -6, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_1152_156080);