# Group 960.11084 downloaded from the LMFDB on 15 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(9299220704973805592705751730883750701916530028804571395,960); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; e := GPC.6; GPerm := Group( (1,2)(3,6)(4,5)(7,8)(9,10)(13,14), (1,3)(2,6)(4,9)(5,10)(7,13)(8,14)(11,15)(12,16), (3,6)(9,13)(10,14)(15,16), (17,18,19,20,21), (4,5,12)(7,8,11)(9,10,16)(13,14,15), (1,4,2,7)(3,9,6,13)(5,12,8,11)(10,16,14,15), (1,5,2,8)(3,10,6,14)(4,11,7,12)(9,15,13,16), (1,2)(3,6)(4,7)(5,8)(9,13)(10,14)(11,12)(15,16) ); # Booleans booleans_960_11084 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := false, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := false); # Character Table chartbl_960_11084:=rec(); chartbl_960_11084.IsFinite:= true; chartbl_960_11084.UnderlyingCharacteristic:= 0; chartbl_960_11084.UnderlyingGroup:= GPC; chartbl_960_11084.Size:= 960; chartbl_960_11084.InfoText:= "Character table for group 960.11084 downloaded from the LMFDB."; chartbl_960_11084.Identifier:= " C5*GL(2,3):C2^2 "; chartbl_960_11084.NrConjugacyClasses:= 115; chartbl_960_11084.ConjugacyClasses:= [ of ..., f7*f8^2, f3*f4, f1, f1*f3*f4*f6*f8, f2, f1*f2, f1*f2*f3, f4^2, f1*f3*f4*f7*f8^2, f1*f6*f8, f3*f4*f6*f8, f5*f6*f8, f2*f3, f8^3, f8^2, f8, f8^4, f4^2*f7*f8^2, f3*f4^2, f1*f4^2, f1*f2*f6*f7*f8^3, f1*f2*f5, f2*f6*f7*f8^3, f2*f3*f6*f7*f8^3, f1*f2*f3*f6*f7*f8^3, f7, f7*f8^4, f7*f8, f7*f8^3, f3*f4*f8^3, f3*f4*f8^2, f3*f4*f8^4, f3*f4*f8, f1*f8^3, f1*f8^2, f1*f8^4, f1*f8, f1*f3*f4*f6, f1*f3*f4*f5*f8, f1*f3*f4*f6*f7, f1*f3*f4*f5*f7, f2*f8, f2*f8^4, f2*f7, f2*f8^2, f1*f2*f8, f1*f2*f8^4, f1*f2*f7, f1*f2*f8^2, f1*f2*f3*f8, f1*f2*f3*f8^4, f1*f2*f3*f7, f1*f2*f3*f8^2, f1*f3*f4^2, f4*f8^2, f4^2*f8^3, f4^2*f8^4, f4*f8, f1*f3*f4*f7, f1*f3*f4*f8^2, f1*f3*f4*f8^4, f1*f3*f4*f7*f8^3, f1*f6, f1*f5*f8, f1*f6*f7, f1*f5*f7, f3*f4*f6, f3*f4*f5*f8, f3*f4*f6*f7, f3*f4*f5*f7, f5*f6*f8^4, f5*f6*f7, f5*f6*f7*f8^2, f5*f6*f8^2, f2*f3*f8, f2*f3*f8^4, f2*f3*f7, f2*f3*f8^2, f4*f7*f8^4, f4^2*f7, f4*f7*f8, f4^2*f7*f8^3, f3*f8, f3*f6, f3*f8^2, f3*f7, f1*f4*f8, f1*f4*f6, f1*f4*f8^2, f1*f4*f7, f1*f2*f6, f1*f2*f4*f5*f8, f1*f2*f5*f8^2, f1*f2*f5*f7, f1*f2*f5*f8, f1*f2*f4^2*f6, f1*f2*f6*f7, f1*f2*f5*f8^3, f2*f6, f2*f5*f8, f2*f6*f7, f2*f5*f7, f2*f3*f6, f2*f3*f6*f8^2, f2*f3*f6*f7, f2*f3*f6*f8^4, f1*f2*f3*f6, f1*f2*f3*f6*f8^2, f1*f2*f3*f6*f7, f1*f2*f3*f6*f8^4, f1*f3*f8, f1*f3*f6, f1*f3*f8^2, f1*f3*f7]; chartbl_960_11084.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, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115]; chartbl_960_11084.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 2, 17, 18, 16, 15, 9, 9, 9, 13, 13, 13, 13, 13, 17, 18, 15, 16, 17, 18, 15, 16, 17, 18, 15, 16, 15, 16, 18, 17, 16, 15, 17, 18, 16, 15, 17, 18, 16, 15, 17, 18, 19, 58, 59, 57, 56, 30, 29, 27, 28, 27, 28, 29, 30, 27, 28, 29, 30, 30, 29, 27, 28, 28, 27, 30, 29, 58, 59, 57, 56, 56, 57, 58, 59, 56, 57, 58, 59, 72, 73, 74, 75, 73, 72, 74, 75, 72, 73, 74, 75, 72, 73, 74, 75, 72, 73, 74, 75, 80, 81, 82, 83], [1, 2, 3, 4, 5, 6, 7, 8, 1, 10, 11, 12, 13, 14, 18, 17, 15, 16, 2, 3, 4, 22, 23, 24, 25, 26, 29, 30, 28, 27, 33, 34, 32, 31, 37, 38, 36, 35, 41, 42, 40, 39, 45, 46, 44, 43, 49, 50, 48, 47, 53, 54, 52, 51, 10, 17, 18, 16, 15, 62, 63, 61, 60, 66, 67, 65, 64, 70, 71, 69, 68, 74, 75, 73, 72, 78, 79, 77, 76, 30, 29, 28, 27, 31, 32, 34, 33, 35, 36, 38, 37, 94, 95, 96, 97, 99, 98, 93, 92, 102, 103, 101, 100, 106, 107, 105, 104, 110, 111, 109, 108, 60, 61, 63, 62], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 1, 1, 1, 19, 20, 21, 23, 22, 24, 25, 26, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 55, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 23, 22, 23, 22, 23, 23, 22, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 55, 55, 55, 55]]; chartbl_960_11084.SizesCentralizers:= [960, 960, 480, 480, 160, 80, 80, 80, 120, 480, 160, 160, 160, 80, 960, 960, 960, 960, 120, 60, 60, 160, 160, 80, 80, 80, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 480, 160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 60, 120, 120, 120, 120, 480, 480, 480, 480, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 120, 120, 120, 120, 60, 60, 60, 60, 60, 60, 60, 60, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 60, 60, 60, 60]; chartbl_960_11084.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "4A", "4B", "4C", "4D", "4E", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "8A1", "8A-1", "8B", "8C", "8D", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "10F1", "10F-1", "10F3", "10F-3", "10G1", "10G-1", "10G3", "10G-3", "12A", "15A1", "15A-1", "15A2", "15A-2", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "30A1", "30A-1", "30A7", "30A-7", "30B1", "30B-1", "30B7", "30B-7", "30C1", "30C-1", "30C7", "30C-7", "40A1", "40A-1", "40A3", "40A-3", "40A9", "40A-9", "40A13", "40A-13", "40B1", "40B-1", "40B3", "40B-3", "40C1", "40C-1", "40C3", "40C-3", "40D1", "40D-1", "40D3", "40D-3", "60A1", "60A-1", "60A7", "60A-7"]; chartbl_960_11084.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 60, 60, 60, 60]; chartbl_960_11084.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, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], [1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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(5)^-2, E(5)^2, E(5), E(5)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5), E(5), E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, 1, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5), E(5)^2, E(5), E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5)^2, E(5), E(5)^2, E(5)^-2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5)^-1, E(5), 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, 1, E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-1, E(5)^-2, E(5)^-1, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5), E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^-2, E(5)^2, 1, 1, 1, 1, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^-2, E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), 1, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-2, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 2*E(8)+2*E(8)^3, -2*E(8)-2*E(8)^3, 2*E(8)+2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4*E(40)^4, 4*E(40)^16, 4*E(40)^8, -4*E(40)^12, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, -4*E(40)^16, 4*E(40)^4, -4*E(40)^8, 4*E(40)^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, 2*E(40)^12, -2*E(40)^16, 2*E(40)^4, -2*E(40)^8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)^3-2*E(40)^13, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, -2*E(40)^3+2*E(40)^13, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, -2*E(40)-2*E(40)^11, 2*E(40)+2*E(40)^11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4*E(40)^16, -4*E(40)^4, -4*E(40)^12, 4*E(40)^8, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, 4*E(40)^4, -4*E(40)^16, 4*E(40)^12, -4*E(40)^8, 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*E(40)^8, 2*E(40)^4, -2*E(40)^16, 2*E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^8, -2*E(40)^12, -2*E(40)^4, 2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^3-2*E(40)^13, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)+2*E(40)^11, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)^3+2*E(40)^13, -2*E(40)-2*E(40)^11, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4*E(40)^4, 4*E(40)^16, 4*E(40)^8, -4*E(40)^12, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, -4*E(40)^16, 4*E(40)^4, -4*E(40)^8, 4*E(40)^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, 2*E(40)^12, -2*E(40)^16, 2*E(40)^4, -2*E(40)^8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)^3+2*E(40)^13, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, 2*E(40)^3-2*E(40)^13, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, 2*E(40)+2*E(40)^11, -2*E(40)-2*E(40)^11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4*E(40)^16, -4*E(40)^4, -4*E(40)^12, 4*E(40)^8, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, 4*E(40)^4, -4*E(40)^16, 4*E(40)^12, -4*E(40)^8, 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*E(40)^8, 2*E(40)^4, -2*E(40)^16, 2*E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^8, -2*E(40)^12, -2*E(40)^4, 2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^3+2*E(40)^13, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)-2*E(40)^11, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)^3-2*E(40)^13, 2*E(40)+2*E(40)^11, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4*E(40)^12, 4*E(40)^8, -4*E(40)^4, 4*E(40)^16, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, -4*E(40)^8, 4*E(40)^12, 4*E(40)^4, -4*E(40)^16, 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*E(40)^16, -2*E(40)^8, 2*E(40)^12, 2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^16, -2*E(40)^4, 2*E(40)^8, -2*E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)-2*E(40)^11, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, 2*E(40)+2*E(40)^11, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)^3+2*E(40)^13, 2*E(40)^3-2*E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4*E(40)^8, -4*E(40)^12, 4*E(40)^16, -4*E(40)^4, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, 4*E(40)^12, -4*E(40)^8, -4*E(40)^16, 4*E(40)^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, 0, 2*E(40)^4, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^4, 2*E(40)^16, -2*E(40)^12, 2*E(40)^8, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, -2*E(40)-2*E(40)^11, 2*E(40)^3-2*E(40)^13, 2*E(40)+2*E(40)^11, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, -2*E(40)^3+2*E(40)^13, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4*E(40)^12, 4*E(40)^8, -4*E(40)^4, 4*E(40)^16, 2, 0, 0, 2*E(40)^5+2*E(40)^15, -2*E(40)^5-2*E(40)^15, 0, 0, 0, -4*E(40)^8, 4*E(40)^12, 4*E(40)^4, -4*E(40)^16, 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*E(40)^16, -2*E(40)^8, 2*E(40)^12, 2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^16, -2*E(40)^4, 2*E(40)^8, -2*E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)+2*E(40)^11, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, -2*E(40)-2*E(40)^11, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, 2*E(40)^3-2*E(40)^13, -2*E(40)^3+2*E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4*E(40)^8, -4*E(40)^12, 4*E(40)^16, -4*E(40)^4, 2, 0, 0, -2*E(40)^5-2*E(40)^15, 2*E(40)^5+2*E(40)^15, 0, 0, 0, 4*E(40)^12, -4*E(40)^8, -4*E(40)^16, 4*E(40)^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, 0, 2*E(40)^4, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(40)^4, 2*E(40)^16, -2*E(40)^12, 2*E(40)^8, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(40)^3-2*E(40)^7-2*E(40)^9+2*E(40)^11-2*E(40)^15, 2*E(40)+2*E(40)^11, -2*E(40)^3+2*E(40)^13, -2*E(40)-2*E(40)^11, -2*E(40)^3+2*E(40)^7+2*E(40)^9-2*E(40)^11+2*E(40)^15, 2*E(40)^3-2*E(40)^13, 2*E(40)-2*E(40)^5+2*E(40)^7+2*E(40)^9-2*E(40)^13, -2*E(40)+2*E(40)^5-2*E(40)^7-2*E(40)^9+2*E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 8, 8, 8, -2, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 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, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 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], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8*E(5)^-2, 8*E(5)^2, 8*E(5), 8*E(5)^-1, -2, 0, 0, 0, 0, 0, 0, 0, -8*E(5)^2, -8*E(5)^-2, -8*E(5), -8*E(5)^-1, 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*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^-2, 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], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8*E(5)^2, 8*E(5)^-2, 8*E(5)^-1, 8*E(5), -2, 0, 0, 0, 0, 0, 0, 0, -8*E(5)^-2, -8*E(5)^2, -8*E(5)^-1, -8*E(5), 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*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8*E(5)^-1, 8*E(5), 8*E(5)^-2, 8*E(5)^2, -2, 0, 0, 0, 0, 0, 0, 0, -8*E(5), -8*E(5)^-1, -8*E(5)^-2, -8*E(5)^2, 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*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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], [8, -8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8*E(5), 8*E(5)^-1, 8*E(5)^2, 8*E(5)^-2, -2, 0, 0, 0, 0, 0, 0, 0, -8*E(5)^-1, -8*E(5), -8*E(5)^2, -8*E(5)^-2, 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*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), 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]]; ConvertToLibraryCharacterTableNC(chartbl_960_11084);