# Group 19360.h downloaded from the LMFDB on 18 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(237709070594190553847084917911028329208630051796201051475099379336692318935694701973809500934294955234405539276375703009009,19360); a := GPC.1; b := GPC.3; c := GPC.5; d := GPC.6; GPerm := Group( (1,2,8,6,11,5,10,13,18,20,4)(3,7,21,14,15,17,9,19,12,16,22)(23,24)(25,27)(26,28)(29,30), (1,3,13,16,11,21,4,17,20,22)(2,9,5,12,18,15,8,7,6,19)(10,14)(25,27)(26,29)(28,30), (1,4,6,20,13,11,5,2,10,18)(3,14,21,9,7,22,19,12,15,16)(23,25,24,27)(26,29,28,30), (1,2,6,13,11,20,18,10,8,5)(3,15,7,9,17,14,22,21,12,16), (1,5,18,2,4)(3,16,22,15,19)(6,20,10,8,11)(7,14,21,12,17), (1,6,10,20,2,11,13,4,8,5,18)(3,7,21,14,15,17,9,19,12,16,22), (1,7,11,19,4,17,18,21,5,14,10,22,8,15,13,9,20,16,2,12)(3,6)(23,26,25,29,24,28,27,30), (23,24)(25,27)(26,28)(29,30) ); GLFp := Group([[[ Z(11), Z(11)^7, Z(11)^9, Z(11)^0 ], [ Z(11)^8, Z(11)^7, Z(11), Z(11)^5 ], [ Z(11)^3, Z(11)^0, 0*Z(11), Z(11)^7 ], [ Z(11)^9, Z(11)^6, Z(11)^2, Z(11) ]], [[ Z(11)^4, Z(11)^8, Z(11)^3, 0*Z(11) ], [ 0*Z(11), 0*Z(11), Z(11)^0, Z(11)^9 ], [ Z(11)^4, Z(11)^0, Z(11)^2, Z(11)^3 ], [ Z(11)^3, Z(11)^7, Z(11)^4, Z(11) ]], [[ Z(11)^6, Z(11)^6, Z(11), Z(11)^8 ], [ Z(11)^8, Z(11)^3, Z(11), Z(11) ], [ Z(11)^6, 0*Z(11), Z(11)^0, Z(11) ], [ Z(11)^0, Z(11)^6, Z(11)^3, 0*Z(11) ]], [[ Z(11)^7, Z(11)^5, Z(11)^0, Z(11)^7 ], [ Z(11)^8, Z(11)^3, 0*Z(11), Z(11)^0 ], [ Z(11)^7, Z(11)^3, Z(11)^4, Z(11)^0 ], [ Z(11)^4, Z(11)^7, Z(11)^3, Z(11)^9 ]], [[ Z(11)^3, 0*Z(11), Z(11), Z(11) ], [ Z(11)^4, Z(11), Z(11)^4, Z(11)^5 ], [ Z(11)^7, Z(11)^9, Z(11)^2, Z(11)^9 ], [ Z(11)^0, Z(11)^6, Z(11)^6, Z(11)^8 ]], [[ 0*Z(11), Z(11), Z(11)^4, Z(11)^0 ], [ Z(11)^9, Z(11)^5, Z(11)^9, Z(11)^4 ], [ Z(11)^4, Z(11)^8, Z(11)^5, Z(11)^6 ], [ Z(11)^9, Z(11)^4, Z(11)^4, Z(11)^6 ]], [[ Z(11)^2, Z(11)^5, Z(11)^0, Z(11)^7 ], [ Z(11)^2, Z(11)^9, Z(11)^8, Z(11)^0 ], [ Z(11)^4, Z(11)^9, Z(11)^7, Z(11)^0 ], [ Z(11)^3, Z(11)^4, Z(11)^7, Z(11)^6 ]], [[ Z(11)^5, 0*Z(11), 0*Z(11), 0*Z(11) ], [ 0*Z(11), Z(11)^5, 0*Z(11), 0*Z(11) ], [ 0*Z(11), 0*Z(11), Z(11)^5, 0*Z(11) ], [ 0*Z(11), 0*Z(11), 0*Z(11), Z(11)^5 ]]]); # Booleans booleans_19360_h := 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_19360_h:=rec(); chartbl_19360_h.IsFinite:= true; chartbl_19360_h.UnderlyingCharacteristic:= 0; chartbl_19360_h.UnderlyingGroup:= GPC; chartbl_19360_h.Size:= 19360; chartbl_19360_h.InfoText:= "Character table for group 19360.h downloaded from the LMFDB."; chartbl_19360_h.Identifier:= " C11^2:(C10*SD16) "; chartbl_19360_h.NrConjugacyClasses:= 88; chartbl_19360_h.ConjugacyClasses:= [ of ..., f7*f8^5, f1*f2^2*f4*f5*f7*f8^5, f1*f2^2*f6*f8^8, f4*f5^9*f6*f8^10, f4*f5^9*f6*f7*f8^2, f6*f7*f8^2, f1*f2^2*f3*f6*f7*f8^4, f1*f2^2*f3*f5^10*f8^2, f4*f5^9*f7*f8^2, f2^2*f5*f8^6, f2^3*f5^2*f8, f2^4*f5^6*f8^3, f2*f5^9*f8^10, f3*f5^9*f6*f8, f3*f4*f6*f8, f3*f5^9*f7*f8^9, f3*f4*f8^4, f2*f4*f6, f2^4*f4*f6, f2^3*f4*f6, f2^2*f4*f6, f2*f4*f6*f7, f2^4*f4*f6*f7, f2^3*f4*f6*f7, f2^2*f4*f6*f7, f2^4*f5^6*f7*f8^2, f2*f5^9*f7*f8^6, f2^2*f5*f7*f8^10, f2^3*f5^2*f7*f8^4, f1*f4*f7*f8^2, f1*f2^4*f4*f5^6*f7*f8^9, f1*f2*f4*f5^9*f7*f8^7, f1*f2^3*f4*f5^2*f7*f8^8, f1*f2*f5*f6*f8^6, f1*f2^3*f5^7*f6*f8^5, f1*f2^4*f5^2*f6*f8^4, f1*f5^4*f6, f8, f5^8*f8, f5^4*f8, f5^9*f8, f2^2*f4*f5^8*f7*f8^8, f2^3*f4*f5^7*f8^9, f2*f4*f8^7, f2^4*f4*f5^3*f7*f8^5, f2^4*f5^8*f6*f8^6, f2*f5*f6*f7*f8^10, f2^2*f5^5*f6*f7*f8^9, f2^3*f5^10*f6, f1*f2^3*f3*f6*f7*f8^6, f1*f2*f3*f6*f8^4, f1*f3*f6*f8^8, f1*f2^4*f3*f6*f7*f8^3, f1*f3*f4*f5^6*f7*f8^5, f1*f2^4*f3*f4*f5^9*f8^10, f1*f2*f3*f4*f5^5*f8^4, f1*f2^3*f3*f4*f5^7*f7*f8, f7, f5^4*f7, f5^2*f7, f5^10*f7, f1*f2^2*f5^2*f8^9, f1*f2^2*f5^7*f6*f8^4, f2*f3*f5^2*f6*f7*f8^2, f2^4*f3*f4*f5*f6*f7*f8^5, f2^3*f3*f4*f5^4*f6*f8^8, f2^2*f3*f5^7*f6*f8^3, f2^4*f3*f5^8*f6*f7*f8^7, f2*f3*f4*f5^7*f6*f7*f8^10, f2^3*f3*f5^5*f6*f8^5, f2^2*f3*f4*f5^2*f6*f8^10, f2*f3*f5^2, f2^4*f3*f4*f5*f7*f8^8, f2^3*f3*f4*f5^4, f2^2*f3*f5^7*f7, f2^4*f3*f5^8*f8^5, f2*f3*f4*f5^7*f7*f8^2, f2^3*f3*f5^5*f7*f8^2, f2^2*f3*f4*f5^2*f8^2, f6, f5^2*f6, f5*f6, f5^3*f6, f5^5*f6, f5^7*f6, f1*f2^2*f3*f5^10*f6*f7*f8^10, f1*f2^2*f3*f5*f7*f8^10]; chartbl_19360_h.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]; chartbl_19360_h.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 13, 14, 12, 11, 10, 10, 10, 10, 11, 12, 14, 13, 11, 12, 14, 13, 12, 11, 13, 14, 14, 13, 12, 11, 12, 11, 13, 14, 39, 40, 41, 42, 27, 28, 29, 30, 30, 29, 27, 28, 29, 30, 28, 27, 28, 27, 30, 29, 39, 40, 41, 42, 39, 39, 43, 44, 45, 46, 44, 43, 45, 46, 43, 44, 45, 46, 44, 43, 45, 46, 59, 60, 61, 61, 62, 62, 60, 60], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 1, 1, 1, 16, 15, 18, 17, 5, 5, 5, 5, 6, 6, 6, 6, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 39, 40, 41, 42, 10, 10, 10, 10, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 59, 60, 61, 62, 63, 64, 15, 16, 15, 16, 15, 16, 16, 15, 17, 18, 17, 18, 17, 18, 18, 17, 81, 82, 83, 84, 85, 86, 87, 88], [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, 1, 1, 1, 1, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 2, 2, 2, 2, 3, 4, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 7, 7, 7, 7, 7, 7, 8, 9]]; chartbl_19360_h.SizesCentralizers:= [19360, 19360, 440, 440, 160, 160, 9680, 440, 440, 80, 160, 160, 160, 160, 80, 80, 80, 80, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 40, 40, 40, 40, 40, 40, 40, 40, 968, 968, 484, 484, 80, 80, 80, 80, 80, 80, 80, 80, 40, 40, 40, 40, 40, 40, 40, 40, 968, 968, 484, 484, 44, 44, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 484, 484, 484, 484, 484, 484, 44, 44]; chartbl_19360_h.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "4A", "4B", "4C", "4D", "5A1", "5A-1", "5A2", "5A-2", "8A1", "8A-1", "8B1", "8B-1", "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", "11A", "11B", "11C", "11D", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "22A", "22B", "22C", "22D", "22E", "22F", "40A1", "40A-1", "40A3", "40A-3", "40A9", "40A-9", "40A13", "40A-13", "40B1", "40B-1", "40B3", "40B-3", "40B9", "40B-9", "40B13", "40B-13", "44A", "44B", "44C1", "44C-1", "44D1", "44D-1", "44E", "44F"]; chartbl_19360_h.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 22, 22, 22, 22, 22, 22, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 44, 44, 44, 44, 44, 44, 44, 44]; chartbl_19360_h.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, E(5)^-2, E(5)^-1, E(5), E(5)^2, 1, 1, 1, 1, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), 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0, 0, 0, 0, -2*E(40)^4, -2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, -2*E(40)^8, -2*E(40)^4, -2*E(40)^12, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 2*E(40)^8, 2*E(40)^16, 2*E(40)^12, 2*E(40)^4, -2*E(40)^16, 2*E(40)^4, 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, -2, -2, -2, -2, 0, 0, E(40)+E(40)^11, -1*E(40)^3+E(40)^13, -1*E(40)-E(40)^11, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)-E(40)^11, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^13, E(40)+E(40)^11, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2*E(40)^16, 2*E(40)^8, -2*E(40)^12, -2*E(40)^4, 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-1*E(40)^5-E(40)^15, -2*E(40)^8, -2*E(40)^4, -2*E(40)^12, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 2*E(40)^8, 2*E(40)^16, 2*E(40)^12, 2*E(40)^4, -2*E(40)^16, 2*E(40)^4, 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, -2, -2, -2, -2, 0, 0, -1*E(40)-E(40)^11, E(40)^3-E(40)^13, E(40)+E(40)^11, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)^3+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)+E(40)^11, -1*E(40)^3+E(40)^13, E(40)^3-E(40)^13, -1*E(40)-E(40)^11, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2*E(40)^16, 2*E(40)^8, -2*E(40)^12, -2*E(40)^4, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, 2*E(40)^12, 2*E(40)^16, 2*E(40)^8, -2*E(40)^8, 2*E(40)^12, 2*E(40)^4, -2*E(40)^12, -2*E(40)^4, -2*E(40)^8, -2*E(40)^16, 2*E(40)^4, -2*E(40)^16, 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, -2, -2, -2, -2, 0, 0, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)-E(40)^11, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)+E(40)^11, -1*E(40)^3+E(40)^13, E(40)+E(40)^11, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)-E(40)^11, E(40)^3-E(40)^13, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^16, -2*E(40)^4, 2*E(40)^8, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, 2*E(40)^4, -2*E(40)^12, 2*E(40)^16, -2*E(40)^16, 2*E(40)^4, -2*E(40)^8, -2*E(40)^4, 2*E(40)^8, -2*E(40)^16, 2*E(40)^12, 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-1*E(40)^3+E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)^3-E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)+E(40)^11, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)^3-E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)^3+E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, -1*E(40)-E(40)^11, -1*E(40)-E(40)^11, E(40)+E(40)^11, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2*E(40)^8, -2*E(40)^4, 2*E(40)^16, -2*E(40)^12, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, -2*E(40)^16, 2*E(40)^8, -2*E(40)^4, 2*E(40)^4, -2*E(40)^16, 2*E(40)^12, 2*E(40)^16, -2*E(40)^12, 2*E(40)^4, -2*E(40)^8, 2*E(40)^12, -2*E(40)^8, 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, -2, -2, -2, -2, 0, 0, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, -1*E(40)-E(40)^11, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)^3+E(40)^13, E(40)+E(40)^11, E(40)^3-E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)^3-E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)+E(40)^11, -1*E(40)-E(40)^11, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, -1*E(40)^3+E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2*E(40)^4, -2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, -2*E(40)^8, 2*E(40)^4, 2*E(40)^12, 2*E(40)^12, 2*E(40)^8, 2*E(40)^16, -2*E(40)^8, -2*E(40)^16, -2*E(40)^12, 2*E(40)^4, -2*E(40)^16, -2*E(40)^4, 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, -2, -2, -2, -2, 0, 0, E(40)+E(40)^11, E(40)^3-E(40)^13, -1*E(40)-E(40)^11, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)^3+E(40)^13, 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-1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)-E(40)^11, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^13, E(40)^3-E(40)^13, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^16, -2*E(40)^4, 2*E(40)^8, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, 2*E(40)^4, 2*E(40)^12, -2*E(40)^16, -2*E(40)^16, -2*E(40)^4, 2*E(40)^8, 2*E(40)^4, -2*E(40)^8, 2*E(40)^16, 2*E(40)^12, -2*E(40)^8, -2*E(40)^12, 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, -2, -2, -2, -2, 0, 0, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)^3+E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)-E(40)^11, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)^3-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, 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-1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2*E(40)^12, 2*E(40)^16, -2*E(40)^4, 2*E(40)^8, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, 2*E(40)^4, 2*E(40)^12, -2*E(40)^16, -2*E(40)^16, -2*E(40)^4, 2*E(40)^8, 2*E(40)^4, -2*E(40)^8, 2*E(40)^16, 2*E(40)^12, -2*E(40)^8, -2*E(40)^12, 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, -2, -2, -2, -2, 0, 0, -1*E(40)^3+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, E(40)^3-E(40)^13, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, E(40)+E(40)^11, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, -1*E(40)^3+E(40)^13, E(40)^3-E(40)^7-E(40)^9+E(40)^11-E(40)^15, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, E(40)^3-E(40)^13, -1*E(40)+E(40)^5-E(40)^7-E(40)^9+E(40)^13, -1*E(40)-E(40)^11, E(40)+E(40)^11, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [40, 40, 0, 0, 0, 0, -40, 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, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -7, -7, 4, 0, 0], [40, 40, 0, 0, 0, 0, -40, 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, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -7, 4, 4, 4, -7, 0, 0], [40, -40, 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, 0, 0, 0, -4, 18, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -18, 4, 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, 0], [40, -40, 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, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11*E(4), 11*E(4), 0, 0, 0], [40, -40, 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, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11*E(4), -11*E(4), 0, 0, 0], [40, -40, 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, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11*E(4), 0, 0, 0, 11*E(4), 0, 0], [40, -40, 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, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11*E(4), 0, 0, 0, -11*E(4), 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_19360_h);