# Group 160.181 downloaded from the LMFDB on 13 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(352614087706378243,160); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; GPerm := Group( (1,5)(2,6)(3,7)(4,8), (1,4)(2,3)(5,6)(7,8), (1,3)(2,4)(5,8)(6,7), (9,13,12,11,10), (1,3)(2,4)(5,7)(6,8), (1,2)(3,4)(5,6)(7,8) ); GLZN := Group([[[ZmodnZObj(4,20), ZmodnZObj(5,20)], [ZmodnZObj(5,20), ZmodnZObj(14,20)]],[[ZmodnZObj(1,20), ZmodnZObj(10,20)], [ZmodnZObj(0,20), ZmodnZObj(1,20)]],[[ZmodnZObj(11,20), ZmodnZObj(0,20)], [ZmodnZObj(10,20), ZmodnZObj(11,20)]],[[ZmodnZObj(1,20), ZmodnZObj(10,20)], [ZmodnZObj(10,20), ZmodnZObj(11,20)]],[[ZmodnZObj(1,20), ZmodnZObj(4,20)], [ZmodnZObj(0,20), ZmodnZObj(1,20)]],[[ZmodnZObj(1,20), ZmodnZObj(10,20)], [ZmodnZObj(10,20), ZmodnZObj(1,20)]]]); # Booleans booleans_160_181 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := true, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_160_181:=rec(); chartbl_160_181.IsFinite:= true; chartbl_160_181.UnderlyingCharacteristic:= 0; chartbl_160_181.UnderlyingGroup:= GPC; chartbl_160_181.Size:= 160; chartbl_160_181.InfoText:= "Character table for group 160.181 downloaded from the LMFDB."; chartbl_160_181.Identifier:= " C2^4:C10 "; chartbl_160_181.NrConjugacyClasses:= 70; chartbl_160_181.ConjugacyClasses:= [ of ..., f5*f6^2, f3*f5*f6^2, f3, f2, f2*f5*f6^2, f1, f1*f3, f1*f2, f1*f2*f5*f6^2, f1*f4*f6, f4*f6, f2*f4*f6, f1*f2*f4*f6, f6^2, f6^3, f6^4, f6, f5, f5*f6^4, f5*f6, f5*f6^3, f3*f5, f3*f5*f6^4, f3*f5*f6, f3*f5*f6^3, f3*f6^3, f3*f6^2, f3*f6^4, f3*f6, f2*f6, f2*f6^4, f2*f6^3, f2*f6^2, f2*f5, f2*f5*f6^4, f2*f5*f6, f2*f5*f6^3, f1*f6, f1*f6^4, f1*f5, f1*f6^2, f1*f3*f6, f1*f3*f6^4, f1*f3*f5, f1*f3*f6^2, f1*f2*f6, f1*f2*f6^4, f1*f2*f6^3, f1*f2*f6^2, f1*f2*f5, f1*f2*f3*f6^2, f1*f2*f5*f6, f1*f2*f3*f6, f1*f4, f1*f4*f6^2, f1*f4*f5, f1*f4*f6^4, f4, f4*f6^2, f4*f5, f4*f6^4, f2*f4, f2*f4*f6^2, f2*f4*f5, f2*f4*f6^4, f1*f2*f4, f1*f2*f4*f6^2, f1*f2*f4*f5, f1*f2*f4*f6^4]; chartbl_160_181.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]; chartbl_160_181.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 17, 18, 16, 15, 18, 17, 16, 15, 18, 17, 16, 15, 18, 17, 16, 15, 15, 16, 18, 17, 18, 17, 16, 15, 15, 16, 18, 17, 15, 16, 18, 17, 15, 16, 18, 17, 18, 17, 16, 15, 16, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 1, 1, 1, 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, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14]]; chartbl_160_181.SizesCentralizers:= [160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 40, 40, 40, 40, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40]; chartbl_160_181.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "4A", "4B", "4C", "5A1", "5A-1", "5A2", "5A-2", "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", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3"]; chartbl_160_181.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 5, 5, 5, 5, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20]; chartbl_160_181.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, 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), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^-1, E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^2, E(5), E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^2, E(5)^2, E(5), E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)], [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), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5), E(5)^-2, E(5), E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^2, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^2, E(5)^2, E(5)^-2, E(5)^-2, E(5)^-1, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^-1], [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, E(5)^-1, E(5), 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, E(5), E(5)^2, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-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)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-1, E(5)^-1, E(5), E(5), E(5)^-2, E(5)^2, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(5), E(5)^-1, 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), E(5)^-1, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), 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)^-2, E(5), E(5), E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5), E(5), E(5)^-1, E(5)^-1, E(5)^2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), 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), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, E(5)^-2, E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5), E(5)^2, E(5), E(5)^2, E(5), -1*E(5)^-1, E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, E(5)^-1, -1*E(5)^-2, E(5)^-2, -1*E(5)^2, E(5)^2, E(5), -1*E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^-2, -1*E(5)], [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), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-2, E(5)^2, E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, -1*E(5), E(5)^2, -1*E(5)^2, -1*E(5), E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5), E(5), -1*E(5)^2, E(5)^2, -1*E(5)^-2, E(5)^-2, E(5)^-1, -1*E(5), E(5)^-1, E(5)^-2, E(5), E(5)^2, -1*E(5)^-1], [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, E(5)^-1, E(5), 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*E(5), -1*E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5), E(5)^-1, E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, E(5), E(5)^-2, E(5), E(5)^-2, -1*E(5)^2, E(5)^-1, -1*E(5)^-1, -1*E(5)^2, E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, E(5)^2, -1*E(5)^-1, E(5)^-1, -1*E(5), E(5), E(5)^-2, -1*E(5)^2, E(5)^-2, E(5), E(5)^2, E(5)^-1, -1*E(5)^-2], [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, E(5), E(5)^-1, 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), E(5)^-1, E(5)^-2, E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-1, E(5), E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^2, E(5)^-1, E(5)^2, E(5)^-1, E(5)^2, -1*E(5)^-2, E(5), -1*E(5), -1*E(5)^-2, E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, E(5)^-2, -1*E(5), E(5), -1*E(5)^-1, E(5)^-1, E(5)^2, -1*E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), -1*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), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, E(5)^-2, E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5), E(5)^2, E(5), E(5)^2, E(5), -1*E(5)^-1, E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, E(5)^-1, -1*E(5), E(5)^-2, E(5)^2, E(5), E(5)^-1, -1*E(5)^-1, E(5)^-2, -1*E(5)^-2, E(5)^2, -1*E(5)^2, 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-1*E(5)^-2, E(5)^2, E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, E(5)^-2], [1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, E(5), E(5)^-1, 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), E(5)^-1, E(5)^-2, E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-1, -1*E(5), E(5), E(5)^-1, -1*E(5), -1*E(5)^-2, E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^2, E(5)^-2, -1*E(5), E(5), E(5)^-2, -1*E(5)^-2, E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, E(5)^-2, E(5), E(5), E(5)^-1, E(5)^-1, -1*E(5)^2, E(5)^-2, E(5)^2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5), 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), E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-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)^-2, E(5)^-2, E(5)^2, -1*E(5)^-2, -1*E(5)^-1, E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5), 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-1*E(5)^2, -1*E(5)^-1], [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, E(5)^-1, E(5), 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, E(5), E(5)^2, E(5), E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-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)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^2, E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, E(5), E(5)^-1, 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), E(5)^-1, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), 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)^-2, E(5), E(5), E(5)^-2, E(5)^-2, E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5), 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0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, -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], [2, 2, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 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], [2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5), -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^-1, 0, 0, -2*E(5)^2, 0, 0, 0, 0, -2*E(5)^-2, 2*E(5)^2, 0, 0, 2*E(5), 0, 0, 0, 0, 0, 0, -2*E(5)^-1, 0, 2*E(5)^-2, 2*E(5)^-1, 0, -2*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, -2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*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), 0, 0, -2*E(5)^-2, 0, 0, 0, 0, -2*E(5)^2, 2*E(5)^-2, 0, 0, 2*E(5)^-1, 0, 0, 0, 0, 0, 0, -2*E(5), 0, 2*E(5)^2, 2*E(5), 0, -2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, -2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^-2, -2*E(5), -2*E(5)^-1, -2*E(5)^-1, 2*E(5), 2*E(5)^2, -2*E(5)^2, 0, 0, -2*E(5), 0, 0, 0, 0, -2*E(5)^-1, 2*E(5), 0, 0, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, -2*E(5)^2, 0, 2*E(5)^-1, 2*E(5)^2, 0, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), -2*E(5), 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-2, 0, 0, -2*E(5)^-1, 0, 0, 0, 0, -2*E(5), 2*E(5)^-1, 0, 0, 2*E(5)^2, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, 0, 2*E(5), 2*E(5)^-2, 0, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5), -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^-1, 0, 0, 2*E(5)^2, 0, 0, 0, 0, 2*E(5)^-2, -2*E(5)^2, 0, 0, -2*E(5), 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 0, -2*E(5)^-2, -2*E(5)^-1, 0, 2*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, -2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*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), 0, 0, 2*E(5)^-2, 0, 0, 0, 0, 2*E(5)^2, -2*E(5)^-2, 0, 0, -2*E(5)^-1, 0, 0, 0, 0, 0, 0, 2*E(5), 0, -2*E(5)^2, -2*E(5), 0, 2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, -2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^-2, -2*E(5), -2*E(5)^-1, -2*E(5)^-1, 2*E(5), 2*E(5)^2, -2*E(5)^2, 0, 0, 2*E(5), 0, 0, 0, 0, 2*E(5)^-1, -2*E(5), 0, 0, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 0, -2*E(5)^-1, -2*E(5)^2, 0, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), -2*E(5), 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-2, 0, 0, 2*E(5)^-1, 0, 0, 0, 0, 2*E(5), -2*E(5)^-1, 0, 0, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 0, -2*E(5), -2*E(5)^-2, 0, 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, -2*E(5), 2*E(5), -2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5)^-1, 0, 0, 0, -2*E(5)^2, 2*E(5), 2*E(5)^2, -2*E(5), 0, 2*E(5)^-2, 0, 0, 2*E(5)^-1, 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, -2, 2, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5), -2*E(5)^-1, 2*E(5)^-1, -2*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), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -2*E(5), 0, 0, 0, -2*E(5)^-2, 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-1, 0, 2*E(5)^2, 0, 0, 2*E(5), 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, -2, 2, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5)^2, -2*E(5)^-2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*E(5), -2*E(5)^2, 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5)^2, 0, 0, 0, -2*E(5), 2*E(5)^-2, 2*E(5), -2*E(5)^-2, 0, 2*E(5)^-1, 0, 0, 2*E(5)^2, 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, -2, 2, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-2, 0, 0, 0, -2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^2, 0, 2*E(5), 0, 0, 2*E(5)^-2, 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, 2, -2, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, -2*E(5), 2*E(5), -2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^-1, 0, 0, 0, 2*E(5)^2, -2*E(5), -2*E(5)^2, 2*E(5), 0, -2*E(5)^-2, 0, 0, -2*E(5)^-1, 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, 2, -2, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5), -2*E(5)^-1, 2*E(5)^-1, -2*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), 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5), 0, 0, 0, 2*E(5)^-2, -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^-1, 0, -2*E(5)^2, 0, 0, -2*E(5), 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, 2, -2, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5)^2, -2*E(5)^-2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*E(5), -2*E(5)^2, 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5)^2, 0, 0, 0, 2*E(5), -2*E(5)^-2, -2*E(5), 2*E(5)^-2, 0, -2*E(5)^-1, 0, 0, -2*E(5)^2, 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, 2, -2, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -2*E(5), 2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^-2, 0, 0, 0, 2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^2, 0, -2*E(5), 0, 0, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^-1, -2*E(5), -2*E(5), 2*E(5), 2*E(5)^2, -2*E(5)^-2, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 2*E(5)^-2, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), -2*E(5)^2, -2*E(5)^-2, 2*E(5), -2*E(5)^-1, -2*E(5)^-1, 2*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*E(5)^-2, -2*E(5), 0, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, 2*E(5)^2, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, -2*E(5), 2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, 2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^2, -2*E(5), -2*E(5)^2, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5), 2*E(5)^-1, 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -2*E(5), -2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^2, 2*E(5)^2, 2*E(5)^-1, -2*E(5), 2*E(5), -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^-2, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 2*E(5), 0, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^-1, -2*E(5), -2*E(5), 2*E(5), 2*E(5)^2, -2*E(5)^-2, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, 0, -2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^-2, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5), -2*E(5)^2, -2*E(5)^-2, 2*E(5), -2*E(5)^-1, -2*E(5)^-1, 2*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*E(5)^-2, 2*E(5), 0, -2*E(5), -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^2, -2*E(5)^-1, -2*E(5), 2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, 2*E(5)^-1, -2*E(5), -2*E(5)^2, -2*E(5)^2, 2*E(5), 2*E(5)^2, 0, -2*E(5)^2, -2*E(5)^-2, -2*E(5), -2*E(5)^-1, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -2*E(5), -2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^2, 2*E(5)^2, 2*E(5)^-1, -2*E(5), 2*E(5), -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^-1, 2*E(5)^-2, 0, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_160_181);