# Group 243.43 downloaded from the LMFDB on 22 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(480831160410,243); a := GPC.1; b := GPC.2; c := GPC.4; GPerm := Group( (2,6,7)(3,8,9)(11,12,16)(14,17,15), (1,2,3,5,7,8,4,6,9)(10,11,14,13,12,15,18,16,17), (1,3,7,4,9,2,5,8,6)(10,12,17,13,16,14,18,11,15), (1,4,5)(2,6,7)(3,9,8)(10,13,18)(11,12,16)(14,15,17), (1,5,4)(2,7,6)(3,8,9)(10,13,18)(11,12,16)(14,15,17) ); # Booleans booleans_243_43 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := true, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_243_43:=rec(); chartbl_243_43.IsFinite:= true; chartbl_243_43.UnderlyingCharacteristic:= 0; chartbl_243_43.UnderlyingGroup:= GPC; chartbl_243_43.Size:= 243; chartbl_243_43.InfoText:= "Character table for group 243.43 downloaded from the LMFDB."; chartbl_243_43.Identifier:= " C9^2:C3 "; chartbl_243_43.NrConjugacyClasses:= 51; chartbl_243_43.ConjugacyClasses:= [ of ..., f5, f5^2, f3*f5, f3^2*f5^2, f3, f3^2, f3*f5^2, f3^2*f5, f1, f1^2, f4, f4^2, f3*f4, f3^2*f4^2, f2*f4, f2^2*f4^2, f3*f4^2, f3^2*f4, f2*f4*f5, f2^2*f3*f4^2, f2*f3*f4, f2^2*f4^2*f5, f2, f2^2*f5^2, f2^2, f2*f5^2, f2*f5, f2^2*f5, f2*f4^2, f2^2*f4*f5^2, f2^2*f4*f5, f2*f4^2*f5, f2*f4^2*f5^2, f2^2*f4, f1*f4, f1^2*f4^2, f1*f2, f1^2*f2^2, f1*f4^2, f1^2*f4, f1*f2^2, f1^2*f2, f1*f2*f4, f1^2*f2^2*f4^2, f1*f2*f4^2, f1^2*f2^2*f4, f1*f2^2*f4, f1^2*f2*f4^2, f1^2*f2*f4, f1*f2^2*f4^2]; chartbl_243_43.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]; chartbl_243_43.ComputedPowerMaps:= [ , [1, 3, 2, 5, 4, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 19, 18, 21, 20, 23, 22, 26, 27, 28, 29, 25, 24, 32, 33, 34, 35, 31, 30, 37, 36, 39, 38, 41, 40, 43, 42, 45, 44, 47, 46, 49, 48, 51, 50]]; chartbl_243_43.SizesCentralizers:= [243, 243, 243, 243, 243, 243, 243, 243, 243, 27, 27, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27]; chartbl_243_43.ClassNames:= ["1A", "3A1", "3A-1", "3B1", "3B-1", "3C1", "3C-1", "3D1", "3D-1", "3E1", "3E-1", "9A1", "9A-1", "9B1", "9B-1", "9C1", "9C-1", "9D1", "9D-1", "9E1", "9E-1", "9F1", "9F-1", "9G1", "9G-1", "9G2", "9G-2", "9G4", "9G-4", "9H1", "9H-1", "9H2", "9H-2", "9H4", "9H-4", "9I1", "9I-1", "9J1", "9J-1", "9K1", "9K-1", "9L1", "9L-1", "9M1", "9M-1", "9N1", "9N-1", "9O1", "9O-1", "9P1", "9P-1"]; chartbl_243_43.OrderClassRepresentatives:= [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; chartbl_243_43.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, E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3), 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, 1, 1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, 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, 1, E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, 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), E(3)^-1, 1, E(3), E(3), 1, 1, E(3)^-1, 1, E(3)^-1, E(3)^-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), 1, E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, 1, 1, E(3), 1, E(3), E(3), E(3)^-1, E(3)^-1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, 1, E(3)^-1, E(3)^-1, E(3), 1, E(3), 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), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, 1, E(3), E(3)^-1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, E(3), 1, 1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), 1, E(3)^-1, E(3)^-1, 1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), E(3), 1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 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), 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, 1, E(3)^-1, 1, E(3)^-1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), 1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3), E(3), E(3), 1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3), 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)^-1, E(3)^-1, E(3)^-1, 1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, 1, 1, E(3), E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3), 1, E(3), E(3), E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3), 1, 1, E(3), E(3), E(3), 1, 1, E(3)^-1, E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 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, E(3), E(3), E(3), E(3)^-1, 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)^-1, E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 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, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, 1, E(3), 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3), 1, 1, E(3), E(3), 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)^-1, E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, E(3), E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), 1, E(3)^-1, 1, 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, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, 1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), 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, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3), 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, 1], [3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 3*E(3)^-1, 3*E(3), 3*E(3), 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 3*E(3), 0, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 3*E(3), 0, 3, 3*E(3)^-1, 3, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 3, 3*E(3), 3, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3)^-1, 3*E(3)^-1, 3, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 3, 0, 3*E(3), 3, 3*E(3)^-1, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3*E(3), 3, 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 3, 0, 3*E(3)^-1, 3, 3*E(3), 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 0, 0, 0, 3, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 0, 0, 0, 3, 3*E(3), 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3*E(3), 3*E(3), 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3*E(3)^-1, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 0, 0, 0, 3*E(3)^-1, 3, 0, 0, 0, 0, 0, 0, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 0, 0, 0, 3*E(3), 3, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3, 0, 0, 0, 3*E(9)^-4, 0, 0, 0, 0, 0, 0, 3*E(9), 0, 0, 0, 3*E(9)^-2, 0, 0, 0, 3*E(9)^-1, 0, 3*E(9)^4, 0, 3*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3, 0, 0, 0, 3*E(9)^4, 0, 0, 0, 0, 0, 0, 3*E(9)^-1, 0, 0, 0, 3*E(9)^2, 0, 0, 0, 3*E(9), 0, 3*E(9)^-4, 0, 3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3, 0, 0, 0, 3*E(9)^2, 0, 0, 0, 0, 0, 0, 3*E(9)^4, 0, 0, 0, 3*E(9), 0, 0, 0, 3*E(9)^-4, 0, 3*E(9)^-2, 0, 3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3, 0, 0, 0, 3*E(9)^-2, 0, 0, 0, 0, 0, 0, 3*E(9)^-4, 0, 0, 0, 3*E(9)^-1, 0, 0, 0, 3*E(9)^4, 0, 3*E(9)^2, 0, 3*E(9), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3, 0, 0, 0, 3*E(9)^-1, 0, 0, 0, 0, 0, 0, 3*E(9)^-2, 0, 0, 0, 3*E(9)^4, 0, 0, 0, 3*E(9)^2, 0, 3*E(9), 0, 3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3, 0, 0, 0, 3*E(9), 0, 0, 0, 0, 0, 0, 3*E(9)^2, 0, 0, 0, 3*E(9)^-4, 0, 0, 0, 3*E(9)^-2, 0, 3*E(9)^-1, 0, 3*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, 3*E(9)^-4, 0, 3*E(9), 0, 0, 0, 0, 0, 0, 3*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 3*E(9)^-2, 0, 3*E(9)^-1, 0, 3*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, 3*E(9)^4, 0, 3*E(9)^-1, 0, 0, 0, 0, 0, 0, 3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 3*E(9)^2, 0, 3*E(9), 0, 3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, 3*E(9)^2, 0, 3*E(9)^4, 0, 0, 0, 0, 0, 0, 3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 3*E(9), 0, 3*E(9)^-4, 0, 3*E(9)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, 3*E(9)^-2, 0, 3*E(9)^-4, 0, 0, 0, 0, 0, 0, 3*E(9), 0, 0, 0, 0, 0, 0, 0, 3*E(9)^-1, 0, 3*E(9)^4, 0, 3*E(9)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^-3, 3*E(9)^3, 3*E(9)^-3, 3, 3*E(9)^3, 3*E(9)^3, 3*E(9)^-3, 0, 0, 0, 0, 3*E(9)^-1, 0, 3*E(9)^-2, 0, 0, 0, 0, 0, 0, 3*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 3*E(9)^4, 0, 3*E(9)^2, 0, 3*E(9), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3*E(9)^3, 3*E(9)^-3, 3*E(9)^3, 3, 3*E(9)^-3, 3*E(9)^-3, 3*E(9)^3, 0, 0, 0, 0, 3*E(9), 0, 3*E(9)^2, 0, 0, 0, 0, 0, 0, 3*E(9)^4, 0, 0, 0, 0, 0, 0, 0, 3*E(9)^-4, 0, 3*E(9)^-2, 0, 3*E(9)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_243_43);