# Group 3600.cv downloaded from the LMFDB on 09 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(250864530672776916716672702919329498979498800296433388505392101506458334156708054071,3600); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.6; e := GPC.7; GPerm := Group( (1,3,8,10,6)(2,5,9,4,7)(11,13)(12,15), (1,2)(3,7)(4,8)(5,6)(9,10)(11,12)(13,16)(14,15), (1,4)(2,6)(3,5)(7,8)(9,10)(11,14,13) ); # Booleans booleans_3600_cv := 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_3600_cv:=rec(); chartbl_3600_cv.IsFinite:= true; chartbl_3600_cv.UnderlyingCharacteristic:= 0; chartbl_3600_cv.UnderlyingGroup:= GPC; chartbl_3600_cv.Size:= 3600; chartbl_3600_cv.InfoText:= "Character table for group 3600.cv downloaded from the LMFDB."; chartbl_3600_cv.Identifier:= " D5^2:S3^2 "; chartbl_3600_cv.NrConjugacyClasses:= 72; chartbl_3600_cv.ConjugacyClasses:= [ of ..., f1*f6^4*f8^3, f2*f3, f5, f2*f3*f4*f5*f6^2*f7^2*f8^4, f1*f2*f3^2*f4*f5*f6^4*f8^2, f1*f2*f3^2*f5*f6^2*f7^2*f8^3, f1*f3^2*f5*f6^4*f8^3, f7*f8^3, f3^2*f7*f8^3, f3^2, f4*f5, f1*f4*f6^4*f7^2*f8^3, f6^2*f8^4, f6^4*f8^3, f6^2, f6^4, f6^3*f8^2, f2*f3^2, f2*f3^2*f5*f8^4, f2*f3^2*f7^2*f8^3, f2*f3*f7^2*f8^3, f3^2*f5*f7*f8^3, f5*f6*f7*f8^3, f2*f4*f5*f6^2*f7*f8, f1*f2*f3^2*f4*f5*f6^4*f7^2*f8^3, f3*f5*f6^3*f8, f2*f3*f6^3, f2*f3*f6^4, f1, f1*f6*f7, f1*f8^3, f1*f6*f8^3, f2*f3*f4*f5*f6*f7^2*f8, f2*f3*f4*f5*f6^4*f7^2, f1*f2*f3^2*f4*f5*f6*f8^3, f1*f2*f3^2*f4*f5, f1*f6^3*f7, f1*f2*f3^2*f5*f6^2*f7^2*f8, f1*f2*f3^2*f5*f6^2*f7^2*f8^2, f3*f4*f7*f8^3, f1*f4*f5*f6^2*f7*f8, f3*f6^2, f3^2*f6^4, f3*f8^2, f3^2*f8^4, f3*f6^2*f7^2*f8, f3^2*f6^4*f7*f8^3, f6^2*f7^2*f8, f6^4*f7*f8^3, f3^2*f6*f7*f8, f3*f6^2*f7^2*f8^2, f6^3*f7^2, f6*f7*f8, f6*f7^2, f3*f6*f7^2, f3*f6*f8, f3*f6^2*f8^2, f3*f6*f7, f3*f6^2*f8, f2*f6, f2*f6^2, f2*f5, f2*f5*f8, f2*f6*f7, f2*f6^2*f7, f2*f3*f6*f7, f2*f3*f6^2*f7, f2*f3^2*f4*f5*f8^2, f2*f3^2*f4*f5*f6^3*f8, f1*f2*f3^2*f4*f5*f6^3*f7*f8^2, f1*f2*f3^2*f4*f5*f6^2*f7*f8^4]; chartbl_3600_cv.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]; chartbl_3600_cv.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 10, 11, 4, 4, 15, 14, 17, 16, 18, 11, 11, 10, 9, 10, 9, 10, 9, 11, 17, 16, 14, 15, 16, 17, 14, 15, 15, 14, 18, 16, 17, 23, 24, 44, 43, 46, 45, 48, 47, 50, 49, 52, 51, 54, 53, 55, 56, 58, 57, 60, 59, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 12, 13, 15, 14, 17, 16, 18, 3, 3, 3, 3, 4, 4, 5, 6, 4, 29, 28, 31, 30, 33, 32, 35, 34, 37, 36, 38, 40, 39, 12, 13, 17, 16, 16, 17, 17, 16, 17, 16, 14, 15, 15, 14, 18, 18, 18, 18, 14, 15, 28, 29, 29, 28, 28, 29, 28, 29, 34, 35, 36, 37], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 1, 1, 1, 1, 1, 19, 20, 21, 22, 23, 24, 25, 26, 27, 3, 3, 2, 2, 2, 2, 5, 5, 6, 6, 2, 7, 7, 41, 42, 11, 11, 11, 11, 10, 10, 9, 9, 10, 10, 9, 9, 9, 10, 11, 11, 11, 11, 19, 19, 20, 20, 21, 21, 22, 22, 25, 25, 26, 26]]; chartbl_3600_cv.SizesCentralizers:= [3600, 400, 360, 144, 120, 120, 40, 16, 1800, 1800, 900, 24, 24, 900, 900, 900, 900, 450, 180, 180, 180, 180, 72, 72, 60, 60, 36, 180, 180, 100, 100, 100, 100, 60, 60, 60, 60, 50, 20, 20, 12, 12, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 225, 225, 225, 225, 225, 225, 90, 90, 90, 90, 90, 90, 90, 90, 30, 30, 30, 30]; chartbl_3600_cv.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "3B", "3C", "4A", "4B", "5A1", "5A2", "5B1", "5B2", "5C", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "10A1", "10A3", "10B1", "10B3", "10C1", "10C3", "10D1", "10D3", "10E1", "10E3", "10F", "10G1", "10G3", "12A", "12B", "15A1", "15A2", "15B1", "15B2", "15C1", "15C2", "15D1", "15D2", "15E1", "15E2", "15F1", "15F2", "15G", "15H", "15I1", "15I2", "15J1", "15J2", "30A1", "30A7", "30B1", "30B7", "30C1", "30C7", "30D1", "30D7", "30E1", "30E7", "30F1", "30F7"]; chartbl_3600_cv.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30]; chartbl_3600_cv.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], [2, 0, 2, 2, 0, 2, 0, 0, -1, 2, -1, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, 0, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, -1, -1], [2, 0, 2, 2, 2, 0, 0, 0, 2, -1, -1, 2, 0, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, 0, -1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -1, 0, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 0, 0], [2, -2, 0, -2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 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, 0, 0, 0, 0], [2, 2, 0, -2, 0, 0, 0, -2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 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, 0, 0, 0, 0], [2, 0, -2, 2, -2, 0, 0, 0, 2, -1, -1, 2, 0, 2, 2, 2, 2, 2, 1, 1, -2, 1, -1, 2, 1, 0, -1, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, -1, 0, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, 1, 1, 0, 0], [2, 0, -2, 2, 0, -2, 0, 0, -1, 2, -1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, -2, 2, -1, 0, 1, -1, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, 1, 1], [2, 0, -2, 2, 0, 2, 0, 0, -1, 2, -1, 0, -2, 2, 2, 2, 2, 2, 1, 1, 1, -2, 2, -1, 0, -1, -1, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 1, 1, 1, 1, 1, -2, 1, -2, 0, 0, -1, -1], [2, 0, -2, 2, 2, 0, 0, 0, 2, -1, -1, -2, 0, 2, 2, 2, 2, 2, 1, 1, -2, 1, -1, 2, -1, 0, -1, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 1, 1, 1, 1, -2, 1, -2, 1, -1, -1, 0, 0], [2, 0, 2, 2, -2, 0, 0, 0, 2, -1, -1, -2, 0, 2, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, 1, 0, -1, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 1, 0, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 1, 1, 0, 0], [2, 0, 2, 2, 0, -2, 0, 0, -1, 2, -1, 0, -2, 2, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, 0, 1, -1, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 0, 0, 1, 1], [4, 0, 4, 4, 0, 0, 0, 0, -2, -2, 1, 0, 0, 4, 4, 4, 4, 4, 1, 1, -2, -2, -2, -2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2, -2, 0, 0, 0, 0], [4, 0, 0, -4, 0, 0, 0, 0, -2, 4, -2, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, -2, 4, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, -4, 0, 0, 0, 0, 4, -2, -2, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, -2, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, -2, -2, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -4, 4, 0, 0, 0, 0, -2, -2, 1, 0, 0, 4, 4, 4, 4, 4, -1, -1, 2, 2, -2, -2, 0, 0, 1, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -2, -2, 1, 1, -2, 1, -2, -2, 1, 1, 1, -2, -2, 1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 0, 0], [4, 0, 0, -4, 0, 0, 0, 0, -2, -2, 1, 0, 0, 4, 4, 4, 4, 4, -3, 3, 0, 0, 2, 2, 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4+2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -1+E(5)^2+E(5)^-2, -1+E(5)^2+E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, -2-E(5)^2-E(5)^-2, -2-E(5)^2-E(5)^-2, -2*E(5)-2*E(5)^-1, 1, -2*E(5)-2*E(5)^-1, 1, 1, -2, -2*E(5)^2-2*E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, -2*E(5)^2-2*E(5)^-2, E(5)^2+E(5)^-2, -2*E(5)-2*E(5)^-1, 0, 0, 0, 0], [8, 0, -4, 0, 0, 0, 0, 0, 8, -4, -4, 0, 0, 4*E(5)^2+4*E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, 4*E(5)+4*E(5)^-1, -2, 2, 2, -4, 2, 0, 0, 0, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, -1+E(5)^2+E(5)^-2, -1+E(5)^2+E(5)^-2, 4*E(5)+4*E(5)^-1, -2*E(5)-2*E(5)^-1, -2-E(5)^2-E(5)^-2, -2-E(5)^2-E(5)^-2, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 1, -2*E(5)^2-2*E(5)^-2, 1, -2, 1, -2*E(5)-2*E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -2*E(5)^2-2*E(5)^-2, E(5)+E(5)^-1, -2*E(5)-2*E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0], [8, 0, -4, 0, 0, 0, 0, 0, 8, -4, -4, 0, 0, 4*E(5)+4*E(5)^-1, 2-2*E(5)^2-2*E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -2, 2, 2, -4, 2, 0, 0, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)-2*E(5)^-1, 2-2*E(5)^2-2*E(5)^-2, -2-E(5)^2-E(5)^-2, -2-E(5)^2-E(5)^-2, 4*E(5)^2+4*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -1+E(5)^2+E(5)^-2, -1+E(5)^2+E(5)^-2, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, 4*E(5)+4*E(5)^-1, 1, -2*E(5)-2*E(5)^-1, 1, -2, 1, -2*E(5)^2-2*E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -2*E(5)-2*E(5)^-1, E(5)^2+E(5)^-2, -2*E(5)^2-2*E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0], [8, 0, 0, 0, -4, 0, 0, 0, 8, -4, -4, 0, 0, 4+2*E(5)^2+2*E(5)^-2, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, -2-E(5)^2-E(5)^-2, 4*E(5)+4*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, -1+E(5)^2+E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, 1, -2-E(5)^2-E(5)^-2, 1, -2, 1, -1+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0], [8, 0, 0, 0, -4, 0, 0, 0, 8, -4, -4, 0, 0, 2-2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, 4+2*E(5)^2+2*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, -1+E(5)^2+E(5)^-2, 4*E(5)^2+4*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 4+2*E(5)^2+2*E(5)^-2, -2-E(5)^2-E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 4*E(5)+4*E(5)^-1, 2-2*E(5)^2-2*E(5)^-2, 1, -1+E(5)^2+E(5)^-2, 1, -2, 1, -2-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0], [8, 0, 0, 0, 0, -4, 0, 0, -4, 8, -4, 0, 0, 4+2*E(5)^2+2*E(5)^-2, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 0, 0, 0, 0, 0, 4+2*E(5)^2+2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -1+E(5)^2+E(5)^-2, 2-2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, 4*E(5)+4*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2-E(5)^2-E(5)^-2, 1, -2-E(5)^2-E(5)^-2, 1, 1, -2, -1+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [8, 0, 0, 0, 0, -4, 0, 0, -4, 8, -4, 0, 0, 2-2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, 4+2*E(5)^2+2*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 0, 0, 0, 0, 0, 2-2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 4*E(5)+4*E(5)^-1, -2-E(5)^2-E(5)^-2, 4+2*E(5)^2+2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, 4*E(5)^2+4*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -1+E(5)^2+E(5)^-2, 1, -1+E(5)^2+E(5)^-2, 1, 1, -2, -2-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2], [16, 0, 0, 0, 0, 0, 0, 0, -8, 16, -8, 0, 0, -4, -4, -4, -4, 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, -4, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, 2, -3, 2, -3, -3, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0, 16, -8, -8, 0, 0, -4, -4, -4, -4, 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, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, -4, -4, -3, 2, -3, 6, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 0, 0, -4, -4, -4, -4, 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, 2, 2, 2+6*E(5)^2+6*E(5)^-2, 2, 2, 2, -4-6*E(5)^2-6*E(5)^-2, 2+6*E(5)^2+6*E(5)^-2, 2, -4-6*E(5)^2-6*E(5)^-2, 2, 2, -3*E(5)^2-3*E(5)^-2, -1, -3*E(5)-3*E(5)^-1, -3, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 0, 0, -4, -4, -4, -4, 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, 2, 2, -4-6*E(5)^2-6*E(5)^-2, 2, 2, 2, 2+6*E(5)^2+6*E(5)^-2, -4-6*E(5)^2-6*E(5)^-2, 2, 2+6*E(5)^2+6*E(5)^-2, 2, 2, -3*E(5)-3*E(5)^-1, -1, -3*E(5)^2-3*E(5)^-2, -3, -3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 0, 0, 8+4*E(5)^2+4*E(5)^-2, 8*E(5)+8*E(5)^-1, 8*E(5)^2+8*E(5)^-2, 4-4*E(5)^2-4*E(5)^-2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4-2*E(5)^2-2*E(5)^-2, -4*E(5)-4*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -2+2*E(5)^2+2*E(5)^-2, -2+2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, -4*E(5)-4*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -4*E(5)^2-4*E(5)^-2, -4-2*E(5)^2-2*E(5)^-2, -1, 2+E(5)^2+E(5)^-2, -1, 2, 2, 1-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 0, 0, 4-4*E(5)^2-4*E(5)^-2, 8*E(5)^2+8*E(5)^-2, 8*E(5)+8*E(5)^-1, 8+4*E(5)^2+4*E(5)^-2, -4, 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+2*E(5)^2+2*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 2*E(5)+2*E(5)^-1, -4*E(5)-4*E(5)^-1, -4-2*E(5)^2-2*E(5)^-2, -4-2*E(5)^2-2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, -4*E(5)^2-4*E(5)^-2, 2*E(5)+2*E(5)^-1, -4*E(5)-4*E(5)^-1, -2+2*E(5)^2+2*E(5)^-2, -1, 1-E(5)^2-E(5)^-2, -1, 2, 2, 2+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_3600_cv);