# Group 1760.360 downloaded from the LMFDB on 19 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(11032761968854402741268738974962897189039464079651975500000309,1760); a := GPC.1; b := GPC.2; c := GPC.6; GPerm := Group( (2,3)(4,5)(6,7)(8,10)(9,11)(12,13)(14,18)(15,22)(16,24)(17,20)(19,21)(23,26)(25,27), (12,14,17,16)(13,18,20,24)(15,21,23,25)(19,26,27,22), (12,15)(13,19)(14,21)(16,25)(17,23)(18,26)(20,27)(22,24), (2,4,6,8,9)(3,5,7,10,11), (12,16,17,14)(13,18,20,24)(15,21,23,25)(19,22,27,26), (12,17)(13,20)(14,16)(15,23)(18,24)(19,27)(21,25)(22,26), (1,2,5,8,6,9,11,7,10,4,3) ); # Booleans booleans_1760_360 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_1760_360:=rec(); chartbl_1760_360.IsFinite:= true; chartbl_1760_360.UnderlyingCharacteristic:= 0; chartbl_1760_360.UnderlyingGroup:= GPC; chartbl_1760_360.Size:= 1760; chartbl_1760_360.InfoText:= "Character table for group 1760.360 downloaded from the LMFDB."; chartbl_1760_360.Identifier:= " C22.(D4*C10) "; chartbl_1760_360.NrConjugacyClasses:= 80; chartbl_1760_360.ConjugacyClasses:= [ of ..., f4*f5^2, f6*f7^5, f1, f1*f2*f5^3, f3*f5*f6*f7^5, f3*f4*f5^3*f6*f7^5, f3*f5, f1*f4*f5^2*f6*f7^5, f1*f2*f3*f5^4*f6*f7^5, f5^2*f7^8, f5^3*f7^5, f5^4*f7^4, f5*f7^6, f2*f4, f2*f3*f4*f5, f2*f4*f6*f7^7, f2*f3*f5^4*f6*f7^7, f4*f7^2, f4*f5^4*f7, f4*f5*f7^6, f4*f5^3*f7^9, f5*f6, f5^4*f6, f4*f6, f5^2*f6, f1*f2, f1*f2*f5, f1*f2*f5^4, f1*f2*f5^2, f1*f3*f4*f5^2, f1*f3*f4*f5^4, f1*f3*f4, f1*f3*f4*f5, f7, f3*f6, f3*f4*f5^4*f6, f3*f4*f6, f3*f5^4*f6, f3*f4*f5*f6, f3*f5^3*f6, f3*f5^2*f6, f3*f4*f5^2*f6, f3, f3*f4*f5^4, f3*f4, f3*f5^4, f1*f2*f3*f5*f6*f7^5, f1*f2*f3*f4*f5^4*f6*f7^5, f1*f2*f3*f4*f5^2*f6*f7^5, f1*f2*f3*f5^3*f6*f7^5, f1*f3*f5^2*f6*f7^5, f1*f3*f4*f5^2*f6*f7^5, f1*f3*f4*f5*f6*f7^5, f1*f3*f5^3*f6*f7^5, f4*f5^2*f7, f6, f1*f7, f1*f7^2, f2, f2*f5, f2*f3, f2*f3*f5^3, f2*f5^2, f2*f5^4, f2*f3*f5, f2*f3*f5^2, f2*f6, f2*f4*f5^3*f6, f2*f3*f6, f2*f3*f4*f6, f2*f5*f6, f2*f4*f5^2*f6, f2*f4*f5*f6, f2*f5^2*f6, f3*f5*f6, f3*f4*f5^3*f6, f3*f5*f7, f1*f6, f1*f6*f7^3]; chartbl_1760_360.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]; chartbl_1760_360.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 13, 14, 12, 11, 8, 8, 8, 8, 14, 13, 12, 11, 11, 12, 14, 13, 13, 14, 11, 12, 12, 11, 13, 14, 35, 19, 20, 21, 22, 22, 21, 20, 19, 19, 20, 21, 22, 21, 22, 20, 19, 20, 19, 22, 21, 35, 35, 35, 35, 44, 45, 46, 47, 47, 46, 44, 45, 44, 45, 46, 47, 45, 44, 46, 47, 56, 56, 56, 56, 56], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 1, 1, 1, 16, 15, 18, 17, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 35, 6, 7, 7, 6, 7, 6, 6, 7, 8, 8, 8, 8, 10, 10, 10, 10, 9, 9, 9, 9, 56, 57, 58, 59, 15, 15, 16, 16, 15, 15, 16, 16, 17, 18, 17, 18, 17, 18, 18, 17, 76, 77, 78, 79, 80], [1, 2, 3, 4, 5, 7, 6, 8, 9, 10, 11, 12, 13, 14, 16, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 1, 43, 42, 41, 40, 39, 38, 37, 36, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 2, 3, 4, 4, 66, 67, 65, 64, 63, 62, 60, 61, 68, 69, 70, 71, 72, 73, 74, 75, 7, 6, 8, 9, 9]]; chartbl_1760_360.SizesCentralizers:= [1760, 1760, 880, 440, 40, 1760, 1760, 880, 440, 40, 160, 160, 160, 160, 80, 80, 80, 80, 160, 160, 160, 160, 80, 80, 80, 80, 40, 40, 40, 40, 40, 40, 40, 40, 176, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 40, 40, 40, 40, 40, 40, 40, 40, 176, 88, 88, 88, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 176, 176, 88, 88, 88]; chartbl_1760_360.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "4A1", "4A-1", "4B", "4C", "4D", "5A1", "5A-1", "5A2", "5A-2", "8A1", "8A3", "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", "11A", "20A1", "20A-1", "20A3", "20A-3", "20A7", "20A-7", "20A9", "20A-9", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "22A", "22B", "22C1", "22C-1", "40A1", "40A-1", "40A3", "40A-3", "40A7", "40A-7", "40A11", "40A-11", "40B1", "40B-1", "40B3", "40B-3", "40B9", "40B-9", "40B13", "40B-13", "44A1", "44A-1", "44B", "44C1", "44C-1"]; chartbl_1760_360.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 4, 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, 11, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 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]; chartbl_1760_360.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, E(5)^-2, E(5)^-1, E(5)^2, E(5), 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^-2, E(5), E(5)^-1, 1, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, 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)^-1, E(5), E(5), E(5)^2, 1, 1, 1, 1, E(5), E(5)^2, E(5), E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^-2, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5), E(5)^-2, E(5)^-1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^2, E(5)^-1, E(5), 1, E(5), 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)^-2, E(5)^-1, E(5), E(5)^2, E(5)^2, E(5), E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5)^-2, 1, 1, 1, 1, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^2, E(5)^-2, E(5), E(5)^-2, E(5), E(5), E(5)^2, E(5)^2, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5)^2, E(5), E(5)^-2, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, 1, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^-1, E(5), E(5)^-2, 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), 1, 1, 1, 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)^-1, E(5), E(5)^2, E(5), E(5)^2, E(5)^2, E(5)^-1, E(5)^-1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5), E(5)^-2, E(5)^-1, E(5)^2, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5), E(5)^2, E(5)^-2, 1, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-1, 1, 1, 1, 1, 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), E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-2, E(5), E(5), 1, 1, 1, 1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, 1, E(5)^-2, E(5)^-1, E(5)^2, E(5), -1, -1, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^-1, 1, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2, -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)^-1, E(5), E(5), E(5)^2, 1, -1, -1, -1, -1*E(5), E(5)^2, E(5), -1*E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^2, E(5)^-1, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^-2, -1, -1, 1, 1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, 1, E(5)^2, E(5), E(5)^-2, E(5)^-1, -1, -1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5), 1, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*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), E(5)^-1, E(5)^-1, E(5)^-2, 1, -1, -1, -1, -1*E(5)^-1, E(5)^-2, E(5)^-1, -1*E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-2, E(5), -1*E(5), -1*E(5)^2, -1*E(5)^2, -1, -1, 1, 1, 1], [1, 1, -1, -1, -1, -1, -1, 1, 1, 1, E(5)^-1, E(5)^2, E(5), E(5)^-2, -1, -1, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, 1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2, E(5)^-1, E(5), E(5)^-2, 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), 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-1*E(8)-E(8)^3, E(8)+E(8)^3, 2*E(8)^2, -2*E(8)^2, 0, 0, 0], [2, -2, 0, 0, 0, -2*E(8)^2, 2*E(8)^2, 0, 0, 0, 2, 2, 2, 2, E(8)+E(8)^3, -1*E(8)-E(8)^3, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, E(8)+E(8)^3, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^3, E(8)+E(8)^-1, E(8)+E(8)^-1, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^-1, -1*E(8)-E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^-1, E(8)+E(8)^3, -1*E(8)-E(8)^3, E(8)+E(8)^3, -2*E(8)^2, 2*E(8)^2, 0, 0, 0], [2, -2, 0, 0, 0, 2*E(8)^2, -2*E(8)^2, 0, 0, 0, 2, 2, 2, 2, -1*E(8)-E(8)^3, E(8)+E(8)^3, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1*E(8)-E(8)^3, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0], [2, 2, -2, 0, 0, 2, 2, -2, 0, 0, 2*E(5)^-1, 2*E(5)^2, 2*E(5), 2*E(5)^-2, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, -2*E(5), -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(5)^2, 2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0], [2, 2, -2, 0, 0, 2, 2, -2, 0, 0, 2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 2*E(5)^-2, -2*E(5), -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5)^2, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0], [2, 2, 2, 0, 0, -2, -2, -2, 0, 0, 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 2*E(5), 0, 0, 0, 0, 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-2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0], [2, 2, 2, 0, 0, -2, -2, -2, 0, 0, 2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 2*E(5)^-2, 2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -2*E(5)^-2, -2*E(5), -2*E(5)^2, -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0], [2, -2, 0, 0, 0, -2*E(40)^10, 2*E(40)^10, 0, 0, 0, -2*E(40)^4, -2*E(40)^12, 2*E(40)^16, 2*E(40)^8, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^-5, -1*E(40)^5-E(40)^-5, -2*E(40)^16, 2*E(40)^4, -2*E(40)^8, 2*E(40)^12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(40)^2, -2*E(40)^6, -2*E(40)^18, -2*E(40)^14, 2*E(40)^6, 2*E(40)^2, 2*E(40)^14, 2*E(40)^18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, E(40)^3-E(40)^13, E(40)-E(40)^11, E(40)^3+E(40)^13, -1*E(40)^3+E(40)^13, -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, -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)-E(40)^11, 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)+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)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, -2*E(40)^10, 2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, 2*E(40)^10, -2*E(40)^10, 0, 0, 0, 2*E(40)^16, 2*E(40)^8, -2*E(40)^4, -2*E(40)^12, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^-5, -1*E(40)^5-E(40)^-5, 2*E(40)^4, -2*E(40)^16, 2*E(40)^12, -2*E(40)^8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(40)^18, 2*E(40)^14, 2*E(40)^2, 2*E(40)^6, -2*E(40)^14, -2*E(40)^18, -2*E(40)^6, -2*E(40)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 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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, -2*E(40)^10, 2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, 2*E(40)^10, -2*E(40)^10, 0, 0, 0, 2*E(40)^8, -2*E(40)^4, -2*E(40)^12, 2*E(40)^16, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^-5, E(40)^5+E(40)^-5, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(40)^14, -2*E(40)^2, -2*E(40)^6, -2*E(40)^18, 2*E(40)^2, 2*E(40)^14, 2*E(40)^18, 2*E(40)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, E(40)+E(40)^11, 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)^11, -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)^3-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)^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)^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)^13, 2*E(40)^10, -2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, -2*E(40)^10, 2*E(40)^10, 0, 0, 0, 2*E(40)^8, -2*E(40)^4, -2*E(40)^12, 2*E(40)^16, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, E(40)^5+E(40)^-5, -1*E(40)^5-E(40)^-5, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(40)^14, 2*E(40)^2, 2*E(40)^6, 2*E(40)^18, -2*E(40)^2, -2*E(40)^14, -2*E(40)^18, -2*E(40)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, E(40)+E(40)^11, -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, E(40)^3-E(40)^7+E(40)^9+E(40)^11-E(40)^15, -1*E(40)^3-E(40)^13, E(40)-E(40)^5-E(40)^7+E(40)^9-E(40)^13, E(40)^3+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)^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)^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)^13, -2*E(40)^10, 2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, 2*E(40)^10, -2*E(40)^10, 0, 0, 0, -2*E(40)^12, 2*E(40)^16, 2*E(40)^8, -2*E(40)^4, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^-5, -1*E(40)^5-E(40)^-5, -2*E(40)^8, 2*E(40)^12, 2*E(40)^4, -2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(40)^6, -2*E(40)^18, -2*E(40)^14, -2*E(40)^2, 2*E(40)^18, 2*E(40)^6, 2*E(40)^2, 2*E(40)^14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 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)^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, 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, E(40)-E(40)^5-E(40)^7+E(40)^9-E(40)^13, E(40)^3-E(40)^13, E(40)+E(40)^11, -1*E(40)^3+E(40)^13, -1*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, E(40)-E(40)^5+E(40)^7+E(40)^9-E(40)^13, 2*E(40)^10, -2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, -2*E(40)^10, 2*E(40)^10, 0, 0, 0, 2*E(40)^8, -2*E(40)^4, -2*E(40)^12, 2*E(40)^16, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^15, -1*E(40)^5-E(40)^-5, E(40)^5+E(40)^-5, 2*E(40)^12, -2*E(40)^8, -2*E(40)^16, 2*E(40)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2*E(40)^14, 2*E(40)^2, 2*E(40)^6, 2*E(40)^18, -2*E(40)^2, -2*E(40)^14, -2*E(40)^18, -2*E(40)^6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1*E(40)-E(40)^11, E(40)-E(40)^5-E(40)^7+E(40)^9-E(40)^13, E(40)-E(40)^11, E(40)+E(40)^11, -1*E(40)+E(40)^11, -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)^3-E(40)^13, -1*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, 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)^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)^13, -2*E(40)^10, 2*E(40)^10, 0, 0, 0], [2, -2, 0, 0, 0, 2*E(40)^10, -2*E(40)^10, 0, 0, 0, -2*E(40)^12, 2*E(40)^16, 2*E(40)^8, -2*E(40)^4, -1*E(40)^5-E(40)^15, E(40)^5+E(40)^15, -1*E(40)^5-E(40)^-5, E(40)^5+E(40)^-5, -2*E(40)^8, 2*E(40)^12, 2*E(40)^4, -2*E(40)^16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2*E(40)^6, -2*E(40)^18, -2*E(40)^14, -2*E(40)^2, 2*E(40)^18, 2*E(40)^6, 2*E(40)^2, 2*E(40)^14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1*E(40)^3+E(40)^7+E(40)^9-E(40)^11+E(40)^15, 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)^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)+E(40)^11, E(40)-E(40)^5-E(40)^7+E(40)^9-E(40)^13, -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)^3+E(40)^13, -1*E(40)-E(40)^11, E(40)^3-E(40)^13, E(40)-E(40)^11, E(40)+E(40)^11, 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, 2*E(40)^10, -2*E(40)^10, 0, 0, 0], [10, 10, 10, 10, 0, 10, 10, 10, 10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1], [10, 10, -10, -10, 0, -10, -10, 10, 10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1], [10, 10, -10, 10, 0, -10, -10, 10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 1], [10, 10, 10, -10, 0, 10, 10, 10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1], [10, 10, -10, 0, 0, 10, 10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2], [10, 10, -10, 0, 0, 10, 10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2], [10, 10, 10, 0, 0, -10, -10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, -1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2], [10, 10, 10, 0, 0, -10, -10, -10, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2], [20, -20, 0, 0, 0, -20*E(4), 20*E(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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 0, 0, 0], [20, -20, 0, 0, 0, 20*E(4), -20*E(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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_1760_360);