# Group 1458.776 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(3168417355753486696973600305788145855,1458); a := GPC.1; b := GPC.3; c := GPC.4; d := GPC.5; e := GPC.6; GPerm := Group( (3,6)(5,8)(7,9)(11,15)(12,14)(13,21)(16,23)(17,19)(18,25)(20,32)(22,33)(24,29)(26,27)(28,34)(30,31)(35,36)(38,39), (1,2,4)(3,7,5)(6,9,8)(11,16,26)(13,22,20)(15,23,27)(17,31,35)(18,28,29)(19,30,36)(21,33,32)(24,25,34), (1,3,6)(2,5,8)(4,7,9)(10,11,17,12,18,25,14,19,15)(13,16,27,20,28,35,22,30,24)(21,29,31,33,36,34,32,26,23), (10,12,14)(11,18,19)(13,20,22)(15,17,25)(16,28,30)(21,33,32)(23,31,34)(24,27,35)(26,29,36)(37,38,39), (1,4,2)(3,5,7)(10,13,21)(11,16,29)(12,20,33)(14,22,32)(15,24,23)(17,27,31)(18,28,36)(19,30,26)(25,35,34), (10,14,12)(11,19,18)(13,22,20)(15,25,17)(16,30,28)(21,32,33)(23,34,31)(24,35,27)(26,36,29), (1,2,4)(3,5,7)(6,8,9) ); # Booleans booleans_1458_776 := 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 := true); # Character Table chartbl_1458_776:=rec(); chartbl_1458_776.IsFinite:= true; chartbl_1458_776.UnderlyingCharacteristic:= 0; chartbl_1458_776.UnderlyingGroup:= GPC; chartbl_1458_776.Size:= 1458; chartbl_1458_776.InfoText:= "Character table for group 1458.776 downloaded from the LMFDB."; chartbl_1458_776.Identifier:= " C3^4.(C3*S3) "; chartbl_1458_776.NrConjugacyClasses:= 66; chartbl_1458_776.ConjugacyClasses:= [ of ..., f1*f2*f5^2*f6^2, f5, f5^2, f3, f3*f7, f3*f7^2, f7, f5*f7, f5^2*f7, f3*f5, f3*f5^2, f3*f5*f7, f3*f5^2*f7, f3*f5*f7^2, f3*f5^2*f7^2, f2*f5^2, f2^2*f5, f2^2*f4^2*f5^2, f2*f4*f5*f7^2, f2^2*f4^2*f7, f2*f4*f7, f4, f3*f4, f3*f4^2, f2*f3, f2^2*f3, f2*f3*f5, f2^2*f3*f5^2, f2*f3*f5^2, f2^2*f3*f5, f1*f2*f5*f6^2, f1*f2*f6^2, f1*f5*f7, f1*f2^2*f5^2*f7, f1*f2^2*f4*f6, f1*f5^2*f6*f7^2, f1*f2^2*f3*f4^2*f5^2*f6*f7^2, f1*f3*f4*f6*f7^2, f6, f6^2, f6*f7, f3*f6, f3^2*f6^2, f3*f6*f7, f3*f6^2, f3*f6^2*f7, f3^2*f6, f2*f6, f2^2*f4*f6, f2^2*f6, f2*f6*f7, f2*f5*f6, f2^2*f6^2, f2*f3*f6, f2^2*f3*f4*f6, f2^2*f3*f6, f2*f3*f6*f7, f2*f3*f5*f6, f2^2*f3^2*f6^2, f2*f3*f6^2, f2^2*f3*f5*f6^2, f2^2*f3^2*f6, f2*f3*f4*f6^2, f2*f3*f6^2*f7, f2^2*f3*f6^2]; chartbl_1458_776.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]; chartbl_1458_776.ComputedPowerMaps:= [ , [1, 1, 4, 3, 5, 6, 7, 8, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 23, 24, 25, 27, 26, 29, 28, 31, 30, 3, 4, 17, 18, 19, 20, 21, 22, 41, 42, 40, 44, 45, 43, 47, 48, 46, 51, 52, 53, 54, 50, 49, 57, 58, 59, 60, 56, 55, 63, 64, 65, 66, 62, 61], [1, 2, 1, 1, 1, 1, 1, 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, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4, 3, 4, 4, 3, 3, 4]]; chartbl_1458_776.SizesCentralizers:= [1458, 18, 1458, 1458, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 729, 162, 162, 162, 162, 162, 162, 81, 81, 81, 81, 81, 81, 81, 81, 81, 18, 18, 18, 18, 18, 18, 18, 18, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81]; chartbl_1458_776.ClassNames:= ["1A", "2A", "3A1", "3A-1", "3B", "3C", "3D", "3E", "3F1", "3F-1", "3G1", "3G-1", "3H1", "3H-1", "3I1", "3I-1", "3J1", "3J-1", "3K1", "3K-1", "3L1", "3L-1", "3M", "3N", "3O", "3P1", "3P-1", "3Q1", "3Q-1", "3R1", "3R-1", "6A1", "6A-1", "6B1", "6B-1", "6C1", "6C-1", "6D1", "6D-1", "9A1", "9A2", "9A4", "9B1", "9B2", "9B4", "9C1", "9C2", "9C4", "9D1", "9D-1", "9D2", "9D-2", "9D4", "9D-4", "9E1", "9E-1", "9E2", "9E-2", "9E4", "9E-4", "9F1", "9F-1", "9F2", "9F-2", "9F4", "9F-4"]; chartbl_1458_776.OrderClassRepresentatives:= [1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]; chartbl_1458_776.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, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, E(3), E(3), E(3), 1, 1, E(3)], [1, 1, 1, 1, 1, 1, 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), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3), 1, E(3), E(3), E(3), 1, 1, 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), E(3), E(3), 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1], [1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, -1*E(3), -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1, -1*E(3)^-1, -1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, 1, E(3), E(3), E(3), 1, 1, E(3)], [1, -1, 1, 1, 1, 1, 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), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1, -1*E(3), -1, E(3), E(3), E(3), 1, 1, 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), E(3), E(3), 1, 1, 1, E(3)^-1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 2, -1], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -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, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, -1*E(3), -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), 2*E(3), -1*E(3), -1*E(3), 2, -1*E(3)^-1, -1*E(3)^-1, 2*E(3)^-1, -1, -1, -1, 2*E(3), 2*E(3), -1*E(3), 2, 2, -1*E(3)], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), 2, -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 2*E(3), -1*E(3), -1, -1, -1, -1*E(3), -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, 2, -1*E(3), -1*E(3), 2*E(3), -1, -1, -1, 2*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, 2, 2, -1*E(3)^-1], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, -1*E(3), -1, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3)^-1, 2*E(3)^-1, 2, 2, 2, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, 2*E(3), 2*E(3), -1*E(3), -1*E(3), -1*E(3), -1, 2*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1, -1, -1, -1*E(3), -1*E(3), 2*E(3), -1, -1, -1*E(3)], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), 2, -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3), 2*E(3), 2, 2, 2, -1*E(3), -1*E(3), -1*E(3), 2*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, 2*E(3), 2*E(3), -1*E(3), -1, -1, -1, -1*E(3)^-1, -1*E(3)^-1, 2*E(3)^-1, -1, -1, -1*E(3)^-1], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, -1*E(3), -1, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, -1, -1, 2*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, -1*E(3), -1*E(3), -1*E(3), 2*E(3), 2*E(3), -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, 2, 2, 2, -1*E(3), -1*E(3), -1*E(3), -1, -1, 2*E(3)], [2, 0, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), 2, -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3), -1*E(3), -1, -1, -1, 2*E(3), 2*E(3), 2*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, -1, -1*E(3), -1*E(3), -1*E(3), 2, 2, 2, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, -1, 2*E(3)^-1], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2, 2*E(3), 2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*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, -1, -1, -1*E(3), -1*E(3), -1*E(3), -1, -1, -1*E(3)], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2, 2*E(3), 2*E(3)^-1, 2*E(3), 2, 2*E(3)^-1, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3), -1*E(3), -1, -1, -1, -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)^-1, -1, -1*E(3), -1*E(3), -1*E(3), -1, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1, -1, -1*E(3)^-1], [3, 1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3*E(3), 3, 3*E(3)^-1, 3, 3*E(3), 3, 3*E(3)^-1, -2-E(3), -1-2*E(3), 1+2*E(3), -1+E(3), 2+E(3), 1-E(3), 1+2*E(3), -1+E(3), 0, 1-E(3), 2+E(3), -2-E(3), 0, -1-2*E(3), 0, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(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], [3, 1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3, 3*E(3), 3, 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E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, 0, 0, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 0, -2*E(9)^2-E(9)^-4], [6, 0, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, -3, -3*E(9)^-3, -3*E(9)^-3, -3*E(9)^3, -3*E(9)^3, 6, 6*E(9)^-3, -3, 6*E(9)^3, -3, -3*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 0, 0, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, 0, 0, 0, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, 0, 0, -1*E(9)+E(9)^4], [6, 0, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, -3, -3*E(9)^3, -3*E(9)^3, -3*E(9)^-3, -3*E(9)^-3, 6, 6*E(9)^3, -3, 6*E(9)^-3, -3, -3*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, 0, 0, 0, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 0, 0, 0, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, 0, 0, -2*E(9)^2-E(9)^-4], [6, 0, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, -3, -3*E(9)^-3, -3*E(9)^-3, -3*E(9)^3, -3*E(9)^3, 6, 6*E(9)^-3, -3, 6*E(9)^3, -3, -3*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, 0, 0, 0, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 0, 0, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, 0, 0, -1*E(9)-2*E(9)^4], [6, 0, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, -3, -3*E(9)^3, -3*E(9)^3, -3*E(9)^-3, -3*E(9)^-3, 6, 6*E(9)^3, -3, 6*E(9)^-3, -3, -3*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, 0, 0, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, 0, 0, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 0, E(9)^2-E(9)^-4], [6, 0, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, 6, -3*E(9)^-3, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, 0, 0, 0, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 0, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, 0, 0, 0, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 0, 0, 2*E(9)+E(9)^4], [6, 0, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, 6, -3*E(9)^3, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, 0, 0, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, 0, 0, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 0, -2*E(9)^2-E(9)^-4], [6, 0, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, 6, -3*E(9)^-3, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, 0, 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)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 0, 0, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, 0, 0, 0, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, 0, -1*E(9)-2*E(9)^4], [6, 0, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, 6, -3*E(9)^3, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, 0, 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)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 0, 0, 0, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 0, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, 0, 0, 0, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 0, E(9)^2-E(9)^-4], [6, 0, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, 6, -3*E(9)^-3, 6*E(9)^-3, 6*E(9)^3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 0, 0, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, E(9)^2+2*E(9)^-4, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, 0, 0, 0, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 0, 0, -1*E(9)+E(9)^4], [6, 0, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, 6, -3*E(9)^3, 6*E(9)^3, 6*E(9)^-3, -3*E(9)^-3, -3, -3*E(9)^3, -3, -3*E(9)^-3, -3, -3*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, 2*E(9)+E(9)^4, 0, 0, 0, 2*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, -1*E(9)+E(9)^4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2+2*E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, 0, -1*E(9)+E(9)^4, -1*E(9)-2*E(9)^4, 2*E(9)+E(9)^4, 0, 0, 0, E(9)^2-E(9)^-4, -2*E(9)^2-E(9)^-4, E(9)^2-E(9)^-4, 0, 0, E(9)^2+2*E(9)^-4]]; ConvertToLibraryCharacterTableNC(chartbl_1458_776);