# Group 4032.fk downloaded from the LMFDB on 07 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 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(7435739249139129686198194224644954209535354802301825751528597673556905445555571281640227099560088524,4032); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.8; e := GPC.9; GPerm := Group( (1,4)(2,3)(6,7,8)(10,12,15)(11,13,14), (1,3)(2,4)(5,7), (1,2,4,3), (7,8)(10,11)(12,13)(14,15), (1,4)(2,3), (1,4)(5,8,6,7)(9,12,15,11,10,14,13), (5,7,8), (5,6)(7,8), (5,8)(6,7) ); # Booleans booleans_4032_fk := 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_4032_fk:=rec(); chartbl_4032_fk.IsFinite:= true; chartbl_4032_fk.UnderlyingCharacteristic:= 0; chartbl_4032_fk.UnderlyingGroup:= GPC; chartbl_4032_fk.Size:= 4032; chartbl_4032_fk.InfoText:= "Character table for group 4032.fk downloaded from the LMFDB."; chartbl_4032_fk.Identifier:= " C28:(C6*S4) "; chartbl_4032_fk.NrConjugacyClasses:= 89; chartbl_4032_fk.ConjugacyClasses:= [ of ..., f5*f6*f7^3, f8, f5*f6*f7^3*f9, f1*f5*f6*f7^3, f1*f4*f5*f6^2*f7^2*f8, f1*f2*f3*f8, f1*f2*f3*f4*f5*f7^3*f8, f2*f3, f2*f3*f5*f7^2, f1*f2*f3, f1*f2*f3*f4*f5*f7^3, f3, f3^2, f6*f7^2, f3*f6*f7, f3^2*f6^2*f7, f4*f6^2*f7, f4*f6^2*f7*f9, f1*f6^2*f7^4*f9, f1*f4*f5*f6, f2*f3*f8*f9, f2*f3*f5*f7^2*f8*f9, f2*f3*f4*f5*f6^2*f7^5*f8, f2*f3*f4*f5*f6^2*f7^2, f3^2*f5*f6*f7^2, f3*f5*f6*f7^5, f5*f7, f1*f2*f8, f1*f2*f3^2*f8, f1*f2*f4*f5*f8, f1*f2*f3^2*f4*f5*f8, f3*f8, f3^2*f8, f3^2*f5*f6*f7^2*f9, f3*f5*f6*f7^5*f9, f2, f2*f3^2, f2*f5, f2*f3^2*f5, f1*f2, f1*f2*f3^2, f1*f2*f4*f5, f1*f2*f3^2*f4*f5, f3*f5*f6^2*f7^6*f8, f3^2*f5*f7^4*f8*f9, f1*f3*f5*f6*f7^6, f1*f3^2*f5*f6*f7^5, f1*f3^2*f4*f5*f6^2*f7*f8, f1*f3*f4*f5*f6^2*f7^4*f8, f1*f2*f3*f4*f7^6, f1*f2*f3*f6*f7^5*f8, f1*f2*f5*f7^6*f8*f9, f1*f2*f3^2*f5*f6^2*f7*f9, f1*f2*f3^2*f4*f7^4*f8*f9, f1*f2*f4*f6*f7^6, f7, f3*f4*f5, f3^2*f4*f5, f4*f5*f6, f2*f9, f2*f3^2*f9, f2*f5*f8, f2*f3^2*f5*f8, f3*f4*f5*f9, f3^2*f4*f5*f9, f1*f3^2*f6^2*f7, f1*f3*f6^2*f7^3*f9, f1*f3*f4*f5*f6*f7^6*f8*f9, f1*f3^2*f4*f5*f6*f7^4, f2*f3^2*f4*f6*f8*f9, f2*f4*f5*f6^2*f7^6*f8, f2*f4*f6*f7^6, f2*f3^2*f4*f5*f6^2*f7^2, f3^2*f4*f6*f7^2*f8*f9, f3*f4*f5*f6*f7*f8, f5*f6, f5*f6*f9, f7^5*f8*f9, f1*f4*f5*f6^2*f7^5*f8, f1*f7, f6, f4*f5, f4*f5*f9, f1*f6*f7, f1*f4*f5*f6*f7^3, f5, f4, f4*f7]; chartbl_4032_fk.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, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89]; chartbl_4032_fk.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 13, 15, 17, 16, 2, 2, 3, 3, 3, 3, 4, 2, 13, 14, 15, 13, 14, 13, 14, 14, 13, 13, 14, 13, 14, 13, 14, 13, 14, 13, 14, 17, 16, 14, 13, 13, 14, 15, 15, 16, 17, 17, 16, 57, 26, 27, 28, 33, 34, 33, 34, 26, 27, 33, 34, 34, 33, 35, 36, 27, 26, 45, 46, 57, 57, 57, 57, 57, 82, 77, 77, 79, 79, 82, 87, 87], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 1, 1, 1, 1, 18, 19, 20, 21, 22, 23, 24, 25, 2, 2, 2, 7, 7, 8, 8, 3, 3, 4, 4, 9, 9, 10, 10, 11, 11, 12, 12, 2, 2, 5, 5, 6, 6, 8, 7, 7, 7, 8, 8, 57, 18, 18, 18, 22, 22, 23, 23, 19, 19, 20, 20, 21, 21, 24, 24, 25, 25, 18, 18, 77, 78, 79, 80, 81, 57, 83, 84, 85, 86, 77, 83, 83], [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, 1, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 2, 4, 3, 6, 5, 15, 18, 19, 20, 21, 28, 60, 60]]; chartbl_4032_fk.SizesCentralizers:= [4032, 4032, 1344, 1344, 336, 336, 288, 288, 96, 96, 96, 96, 576, 576, 504, 72, 72, 2016, 672, 336, 336, 96, 96, 48, 48, 576, 576, 504, 288, 288, 288, 288, 192, 192, 192, 192, 96, 96, 96, 96, 96, 96, 96, 96, 72, 72, 48, 48, 48, 48, 36, 36, 36, 36, 36, 36, 672, 288, 288, 252, 96, 96, 96, 96, 96, 96, 48, 48, 48, 48, 48, 48, 48, 48, 36, 36, 672, 224, 224, 56, 56, 84, 336, 112, 56, 56, 84, 84, 84]; chartbl_4032_fk.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "3A1", "3A-1", "3B", "3C1", "3C-1", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "4H", "6A1", "6A-1", "6B", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "6H1", "6H-1", "6I1", "6I-1", "6J1", "6J-1", "6K1", "6K-1", "6L1", "6L-1", "6M1", "6M-1", "6N", "6O", "6P1", "6P-1", "6Q1", "6Q-1", "7A", "12A1", "12A-1", "12B", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "12I1", "12I-1", "12J1", "12J-1", "14A", "14B", "14C", "14D", "14E", "21A", "28A", "28B", "28C", "28D", "42A", "84A1", "84A-1"]; chartbl_4032_fk.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 21, 28, 28, 28, 28, 42, 84, 84]; chartbl_4032_fk.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, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1], [1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1], [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, 1, -1, -1, 1, 1, 1, 1, E(3), E(3)^-1, 1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 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-4*E(3)^-1, -4*E(3), 2, 0, 0, 0, 0, 4*E(3), 4*E(3)^-1, -4*E(3)^-1, -4*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [6, -6, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -6, -6, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 0, 2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, -6, -6, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1], [6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -1, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1], [6, 6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -1, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1], [6, -6, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 6*E(3)^-1, 6*E(3), 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -6*E(3), -6*E(3)^-1, 0, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 2*E(3), 0, 0, 0, -2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2*E(3)^-1, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 6*E(3), 6*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -6*E(3)^-1, -6*E(3), 0, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), 0, 2*E(3)^-1, 0, 0, 0, -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2*E(3), 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 6*E(3)^-1, 6*E(3), 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, -6*E(3), -6*E(3)^-1, 0, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), 2*E(3), 2*E(3)^-1, -2*E(3)^-1, 0, -2*E(3), 0, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2*E(3)^-1, 0, 0, -2*E(3)^-1, -2*E(3), 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 6*E(3), 6*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, -6*E(3)^-1, -6*E(3), 0, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 2*E(3), -2*E(3), 0, -2*E(3)^-1, 0, 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2*E(3), 0, 0, -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -6, 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, 0, 0, -2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 1, -2, -2, 0, 0, 1, 1, 1], [12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0], [12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -6, 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, 0, 0, -2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 1, 2, 2, 0, 0, 1, -1, -1], [12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 1, 0, 0, 0, 0, -1, -2*E(84)+2*E(84)^3-2*E(84)^11+2*E(84)^13+2*E(84)^15-2*E(84)^17-2*E(84)^19-E(84)^21-2*E(84)^23, 2*E(84)-2*E(84)^3+2*E(84)^11-2*E(84)^13-2*E(84)^15+2*E(84)^17+2*E(84)^19+E(84)^21+2*E(84)^23], [12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 1, 0, 0, 0, 0, -1, 2*E(84)-2*E(84)^3+2*E(84)^11-2*E(84)^13-2*E(84)^15+2*E(84)^17+2*E(84)^19+E(84)^21+2*E(84)^23, -2*E(84)+2*E(84)^3-2*E(84)^11+2*E(84)^13+2*E(84)^15-2*E(84)^17-2*E(84)^19-E(84)^21-2*E(84)^23], [18, 18, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, -6, -6, -6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, -1, -1, 0, -3, 1, 1, 1, 0, 0, 0], [18, 18, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, -6, 6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, 1, 1, 0, -3, 1, -1, -1, 0, 0, 0], [18, 18, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 6, 6, -6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, -1, 1, 0, 3, -1, -1, 1, 0, 0, 0], [18, 18, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 6, -6, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 1, 1, 1, -1, 0, 3, -1, 1, -1, 0, 0, 0], [36, -36, -12, 12, 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, 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, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_4032_fk);