# Group 5832.mu downloaded from the LMFDB on 18 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 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(635036211090475380405253675097860495231038312999017381109815734417919551939421326739397604005403319,5832); a := GPC.1; b := GPC.3; c := GPC.6; d := GPC.8; e := GPC.9; GPerm := Group( (1,2)(5,6,7)(10,11)(12,14)(13,16)(17,18), (1,3,5)(2,4,6)(7,8,9)(10,12,15,17,18,16,14,11,13) ); # Booleans booleans_5832_mu := 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_5832_mu:=rec(); chartbl_5832_mu.IsFinite:= true; chartbl_5832_mu.UnderlyingCharacteristic:= 0; chartbl_5832_mu.UnderlyingGroup:= GPC; chartbl_5832_mu.Size:= 5832; chartbl_5832_mu.InfoText:= "Character table for group 5832.mu downloaded from the LMFDB."; chartbl_5832_mu.Identifier:= " C9:S3wrC3 "; chartbl_5832_mu.NrConjugacyClasses:= 45; chartbl_5832_mu.ConjugacyClasses:= [ of ..., f6*f7, f1*f2*f3*f4*f5*f8^2*f9, f1*f2*f4*f5^2*f7^2*f8*f9^2, f5, f7, f5*f7^2*f9^2, f7*f8*f9^2, f5^2*f7^2*f9, f7^2*f8*f9, f5^2*f8^2, f5*f9, f2*f3*f4*f5^2*f6*f9, f2^2*f3*f4*f7^2, f6, f3*f4*f8*f9, f3*f4*f5^2*f8, f1*f2*f3*f4*f5*f7^2*f8^2*f9, f1*f2*f3*f5*f8^2, f1*f2*f3*f7, f1*f3*f4^2*f5*f9, f1*f2^2*f3*f4^2*f5^2*f6*f7, f4*f8, f4^2, f4*f5, f4^2*f5^2, f4*f7*f9, f4*f7^2*f9, f4*f9, f4^2*f9^2, f4*f7, f2^2*f4*f5*f7, f2*f4^2*f8^2*f9^2, f2^2*f6*f7*f8^2*f9, f2*f3*f4*f5*f7^2*f8*f9, f2^2*f3*f7*f8*f9, f2*f3*f4^2*f6*f7*f8*f9^2, f2^2*f4*f7^2*f8^2*f9, f2*f4^2*f5*f7^2*f8, f3*f9, f3*f5^2*f9, f3*f6*f9, f3*f4^2*f5*f7^2, f3*f7^2, f3*f4^2*f7^2]; chartbl_5832_mu.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]; chartbl_5832_mu.ComputedPowerMaps:= [ , [1, 1, 1, 1, 5, 6, 7, 8, 9, 10, 11, 12, 14, 13, 6, 5, 11, 6, 6, 10, 13, 14, 23, 25, 26, 24, 27, 28, 30, 31, 29, 33, 32, 35, 34, 37, 36, 39, 38, 23, 23, 23, 24, 26, 25], [1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 8, 8, 9, 9, 5, 5, 16, 16, 16, 16, 16, 16]]; chartbl_5832_mu.SizesCentralizers:= [5832, 216, 72, 24, 2916, 972, 729, 729, 729, 486, 486, 243, 54, 54, 108, 108, 54, 36, 36, 18, 6, 6, 972, 486, 486, 486, 243, 243, 243, 243, 243, 27, 27, 27, 27, 27, 27, 27, 27, 108, 108, 108, 54, 54, 54]; chartbl_5832_mu.ClassNames:= ["1A", "2A", "2B", "2C", "3A", "3B", "3C", "3D", "3E", "3F", "3G", "3H", "3I1", "3I-1", "6A", "6B", "6C", "6D", "6E", "6F", "6G1", "6G-1", "9A", "9B1", "9B2", "9B4", "9C", "9D", "9E1", "9E2", "9E4", "9F1", "9F-1", "9G1", "9G-1", "9H1", "9H-1", "9I1", "9I-1", "18A1", "18A5", "18A7", "18B1", "18B5", "18B7"]; chartbl_5832_mu.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18]; chartbl_5832_mu.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, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-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, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1], [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, -1, -1, -1, -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-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, 1, 1, -1, -1, -1, -1*E(3)^-1, -1*E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1], [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2, 2, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1, -1, -1, -1, -1, -1], [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2, 2, 2, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, -1, -1, -1, -1, -1], [3, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1], [3, -1, 1, -3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1], [6, 6, 0, 0, -3, 6, -3, 6, -3, 6, -3, -3, 0, 0, 6, -3, -3, 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, 2, 4, 0, 6, 3, -3, -3, -3, 0, 3, 0, 0, 0, -1, 2, -1, 1, 1, -2, 0, 0, 6, 3, 3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1], [6, -2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [6, -2, 0, 0, 6, 3, -3, -3, -3, 0, 3, 0, 0, 0, 1, -2, 1, -3, 3, 0, 0, 0, 6, 3, 3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1], [6, -2, 0, 0, 6, 3, -3, -3, -3, 0, 3, 0, 0, 0, 1, -2, 1, 3, -3, 0, 0, 0, 6, 3, 3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1], [6, 2, -4, 0, 6, 3, -3, -3, -3, 0, 3, 0, 0, 0, -1, 2, -1, -1, -1, 2, 0, 0, 6, 3, 3, 3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1], [6, -2, 0, 0, -3, 6, -3, 6, -3, 6, -3, -3, 0, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2], [6, -2, 0, 0, -3, 6, -3, 6, -3, 6, -3, -3, 0, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1], [6, -2, 0, 0, -3, 6, -3, 6, -3, 6, -3, -3, 0, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, -4, -4, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -4, 5, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 5, -4, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, -4, -4, -1, -1, 2, 2, 2, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, -4, -4, -1, -1, 2, 2, 2, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -4, 5, -1, -1, -1, 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, -4, 5, -1, -1, -1, 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 5, -4, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, -4, -1, -1, -1, 2, -4, 2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, 2, 2, 5, -4, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0], [12, 0, 4, 0, 12, 0, 3, 3, 3, -3, 0, -3, 0, 0, 0, 0, 0, -2, -2, 1, 0, 0, 12, 0, 0, 0, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 4, 0, 0, 12, 6, -6, -6, -6, 0, 6, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, -6, -3, -3, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1], [12, 0, -4, 0, 12, 0, 3, 3, 3, -3, 0, -3, 0, 0, 0, 0, 0, 2, 2, -1, 0, 0, 12, 0, 0, 0, 3, 3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -4, 0, 0, 12, 6, -6, -6, -6, 0, 6, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, -6, -3, -3, -3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1], [12, 4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -3*E(9)-3*E(9)^-1, -3*E(9)^2-3*E(9)^-2, -3*E(9)^4-3*E(9)^-4, 0, 0, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4, -1*E(9)^4-E(9)^-4, -1*E(9)^2-E(9)^-2, -1*E(9)-E(9)^-1], [12, 4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -3*E(9)^2-3*E(9)^-2, -3*E(9)^4-3*E(9)^-4, -3*E(9)-3*E(9)^-1, 0, 0, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2, 2*E(9)+2*E(9)^-1, -1*E(9)-E(9)^-1, -1*E(9)^4-E(9)^-4, -1*E(9)^2-E(9)^-2], [12, 4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, -3*E(9)^4-3*E(9)^-4, -3*E(9)-3*E(9)^-1, -3*E(9)^2-3*E(9)^-2, 0, 0, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)+2*E(9)^-1, 2*E(9)^4+2*E(9)^-4, 2*E(9)^2+2*E(9)^-2, -1*E(9)^2-E(9)^-2, -1*E(9)-E(9)^-1, -1*E(9)^4-E(9)^-4], [12, -4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, 2, 2, -1, 0, 0, 0, 0, 0, 0, -3*E(9)-3*E(9)^-1, -3*E(9)^2-3*E(9)^-2, -3*E(9)^4-3*E(9)^-4, 0, 0, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)^2-2*E(9)^-2, -2*E(9)-2*E(9)^-1, -2*E(9)^4-2*E(9)^-4, E(9)^4+E(9)^-4, E(9)^2+E(9)^-2, E(9)+E(9)^-1], [12, -4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, 2, 2, -1, 0, 0, 0, 0, 0, 0, -3*E(9)^2-3*E(9)^-2, -3*E(9)^4-3*E(9)^-4, -3*E(9)-3*E(9)^-1, 0, 0, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)^4-2*E(9)^-4, -2*E(9)^2-2*E(9)^-2, -2*E(9)-2*E(9)^-1, E(9)+E(9)^-1, E(9)^4+E(9)^-4, E(9)^2+E(9)^-2], [12, -4, 0, 0, -6, 6, 3, -6, 3, 0, -3, 0, 0, 0, 2, 2, -1, 0, 0, 0, 0, 0, 0, -3*E(9)^4-3*E(9)^-4, -3*E(9)-3*E(9)^-1, -3*E(9)^2-3*E(9)^-2, 0, 0, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)-2*E(9)^-1, -2*E(9)^4-2*E(9)^-4, -2*E(9)^2-2*E(9)^-2, E(9)^2+E(9)^-2, E(9)+E(9)^-1, E(9)^4+E(9)^-4], [24, 0, 0, 0, 24, 0, 6, 6, 6, -6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -3, -3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, 0, 0, 0, -12, -12, -12, -3, 15, 6, 6, -3, 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], [24, 0, 0, 0, -12, -12, 15, -3, -12, 6, 6, -3, 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], [24, 0, 0, 0, -12, 0, -3, 6, -3, -6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^4+6*E(9)^-4, 6*E(9)+6*E(9)^-1, 6*E(9)^2+6*E(9)^-2, 0, 0, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, 0, 0, 0, -12, 0, -3, 6, -3, -6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)^2+6*E(9)^-2, 6*E(9)^4+6*E(9)^-4, 6*E(9)+6*E(9)^-1, 0, 0, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 3*E(9)^2+3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, 0, 0, 0, -12, 0, -3, 6, -3, -6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(9)+6*E(9)^-1, 6*E(9)^2+6*E(9)^-2, 6*E(9)^4+6*E(9)^-4, 0, 0, 3*E(9)^2+3*E(9)^-2, 3*E(9)^4+3*E(9)^-4, 3*E(9)+3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_5832_mu);