# Group 192.485 downloaded from the LMFDB on 12 October 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(32061896376785842515084327809,192); a := GPC.1; b := GPC.2; c := GPC.5; GPerm := Group( (1,2,4,6,3,5,7,8)(10,11)(12,13)(14,17)(15,16)(18,19), (1,3)(2,5)(4,7)(6,8)(13,16)(17,19), (2,5)(6,8)(12,14,15,18)(13,17,16,19), (1,4,3,7)(2,6,5,8), (12,15)(13,16)(14,18)(17,19), (1,3)(2,5)(4,7)(6,8), (9,10,11) ); GLZN := Group([[[ZmodnZObj(35,48), ZmodnZObj(1,48)], [ZmodnZObj(0,48), ZmodnZObj(1,48)]],[[ZmodnZObj(25,48), ZmodnZObj(0,48)], [ZmodnZObj(0,48), ZmodnZObj(25,48)]],[[ZmodnZObj(1,48), ZmodnZObj(24,48)], [ZmodnZObj(0,48), ZmodnZObj(1,48)]],[[ZmodnZObj(41,48), ZmodnZObj(24,48)], [ZmodnZObj(24,48), ZmodnZObj(17,48)]],[[ZmodnZObj(1,48), ZmodnZObj(16,48)], [ZmodnZObj(0,48), ZmodnZObj(1,48)]],[[ZmodnZObj(25,48), ZmodnZObj(12,48)], [ZmodnZObj(0,48), ZmodnZObj(1,48)]],[[ZmodnZObj(43,48), ZmodnZObj(0,48)], [ZmodnZObj(24,48), ZmodnZObj(43,48)]]]); # Booleans booleans_192_485 := 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_192_485:=rec(); chartbl_192_485.IsFinite:= true; chartbl_192_485.UnderlyingCharacteristic:= 0; chartbl_192_485.UnderlyingGroup:= GPC; chartbl_192_485.Size:= 192; chartbl_192_485.InfoText:= "Character table for group 192.485 downloaded from the LMFDB."; chartbl_192_485.Identifier:= " C4^2.D6 "; chartbl_192_485.NrConjugacyClasses:= 60; chartbl_192_485.ConjugacyClasses:= [ of ..., f4, f6*f7, f4*f6*f7, f1*f3*f5*f7^2, f1*f3*f4*f5*f7^2, f7^2, f3, f3*f4, f3*f6*f7, f3*f4*f6*f7, f5*f6, f4*f5*f6, f3*f4*f5*f6, f3*f5*f7^2, f1*f4*f6*f7, f1, f1*f4*f5*f7^2, f1*f5*f7^2, f1*f3*f6*f7, f1*f3, f6, f4*f7^2, f4*f6, f1*f3*f5, f1*f3*f5*f7, f1*f3*f4*f5, f1*f3*f5*f6*f7, f2, f2*f3, f2*f5, f2*f3*f5, f1*f2, f1*f2*f3, f1*f2*f5, f1*f2*f3*f5, f5, f5*f7, f4*f5, f4*f5*f7, f3*f7, f3*f4*f7, f3*f6, f3*f4*f6, f3*f5, f3*f4*f5, f3*f5*f7, f3*f4*f5*f7, f1*f7, f1*f4*f6, f1*f7^2, f1*f6, f1*f5, f1*f5*f6*f7, f1*f5*f7, f1*f4*f5, f1*f3*f7, f1*f3*f6, f1*f3*f7^2, f1*f3*f4*f6]; chartbl_192_485.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]; chartbl_192_485.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 7, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 2, 2, 3, 3, 7, 7, 7, 7, 7, 7, 7, 8, 9, 8, 9, 10, 11, 10, 11, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 22, 22, 22, 22], [1, 2, 3, 4, 5, 6, 1, 9, 8, 11, 10, 12, 13, 15, 14, 17, 16, 19, 18, 21, 20, 3, 2, 4, 5, 5, 6, 6, 30, 29, 32, 31, 34, 33, 36, 35, 12, 12, 13, 13, 9, 8, 11, 10, 14, 15, 14, 15, 16, 17, 16, 17, 18, 19, 18, 19, 20, 21, 20, 21]]; chartbl_192_485.SizesCentralizers:= [192, 192, 192, 192, 96, 96, 96, 192, 192, 192, 192, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 16, 16, 16, 16, 16, 16, 16, 16, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96]; chartbl_192_485.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "3A", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "4E1", "4E-1", "4F1", "4F-1", "4G1", "4G-1", "4H1", "4H-1", "6A", "6B", "6C", "6D1", "6D-1", "6E1", "6E-1", "8A1", "8A-1", "8B1", "8B-1", "8C1", "8C-1", "8D1", "8D-1", "12A1", "12A5", "12B1", "12B5", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12E5", "12E-5", "12F1", "12F-1", "12F5", "12F-5", "12G1", "12G-1", "12G5", "12G-5", "12H1", "12H-1", "12H5", "12H-5"]; chartbl_192_485.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; chartbl_192_485.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*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1], [1, 1, 1, 1, -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(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1], [1, 1, 1, 1, -1, -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(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1], [1, 1, 1, 1, -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(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1], [1, 1, 1, 1, 1, 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(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1], [1, 1, 1, 1, 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(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1], [1, 1, 1, 1, 1, 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(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1], [1, 1, 1, 1, 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(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), 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, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, -2, -2, -1, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 1, -1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, -2, -2, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 1, -1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, -2, -2, -1, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 1, -1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -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, 2, 2, 2, -2, -2, -1, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 1, -1, -1, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, -1, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, -1, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -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, -2, -2, 2, -2, 2, 2, -2*E(4), 2*E(4), -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), 0, 0, -2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 0, 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), -2*E(4), 2*E(4), 0, 0, 2*E(4), 0, 0, 2*E(4)], [2, -2, -2, 2, -2, 2, 2, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 0, 0, -2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), 0, -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), 2*E(4), -2*E(4), 0, 0, -2*E(4), 0, 0, -2*E(4)], [2, -2, -2, 2, 2, -2, 2, -2*E(4), 2*E(4), -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 0, 0, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 0, 2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), -2*E(4), 0, 0, -2*E(4), 0, 0, 2*E(4)], [2, -2, -2, 2, 2, -2, 2, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), 0, 0, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), 0, -2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 2*E(4), 0, 0, 2*E(4), 0, 0, -2*E(4)], [2, -2, 2, -2, 0, 0, 2, -2*E(4), -2*E(4), 2*E(4), 2*E(4), 2*E(4), -2*E(4), -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), 2*E(4), -2*E(4), 0, -2, 2*E(4), 2, -2, 0, 0, 0, 0, 0, -2*E(4), 0, 0, 2, 0, 0, -2*E(4), -2*E(4), 2*E(4)], [2, -2, 2, -2, 0, 0, 2, 2*E(4), 2*E(4), -2*E(4), -2*E(4), -2*E(4), 2*E(4), -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), -2*E(4), 2*E(4), 0, -2, -2*E(4), 2, -2, 0, 0, 0, 0, 0, 2*E(4), 0, 0, 2, 0, 0, 2*E(4), 2*E(4), -2*E(4)], [2, -2, 2, -2, 0, 0, 2, -2*E(4), -2*E(4), 2*E(4), 2*E(4), -2*E(4), 2*E(4), 2, -2, 0, 0, 0, 0, 0, 0, 0, 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-1+2*E(12)^2, E(12)+E(12)^-1, -1*E(12)^3, 1-2*E(12)^2, E(12)^3, E(12)^3, -1*E(12)-E(12)^-1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1+2*E(12)^2, 1-2*E(12)^2, -1*E(12)-E(12)^-1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)+E(12)^-1, E(12)+E(12)^-1, -1*E(12)^3, -1+2*E(12)^2, 1-2*E(12)^2, E(12)^3], [2, -2, -2, 2, 2, -2, -1, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 0, 0, 0, 0, 0, 0, 2*E(12)^3, -2*E(12)^3, 0, 0, -1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1+2*E(12)^2, -1*E(12)-E(12)^-1, E(12)^3, 1-2*E(12)^2, -1*E(12)^3, -1*E(12)^3, E(12)+E(12)^-1, -1+2*E(12)^2, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1+2*E(12)^2, 1-2*E(12)^2, E(12)+E(12)^-1, 1-2*E(12)^2, E(12)+E(12)^-1, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, E(12)^3, -1+2*E(12)^2, 1-2*E(12)^2, -1*E(12)^3], [2, -2, -2, 2, 2, -2, -1, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 0, 0, 0, 0, 0, 0, -2*E(12)^3, 2*E(12)^3, 0, 0, -1, -1, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1-2*E(12)^2, -1*E(12)-E(12)^-1, -1*E(12)^3, -1+2*E(12)^2, E(12)^3, E(12)^3, E(12)+E(12)^-1, 1-2*E(12)^2, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 1-2*E(12)^2, -1+2*E(12)^2, E(12)+E(12)^-1, -1+2*E(12)^2, E(12)+E(12)^-1, -1*E(12)^3, E(12)^3, -1*E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, -1*E(12)^3, 1-2*E(12)^2, -1+2*E(12)^2, E(12)^3], [2, -2, 2, -2, 0, 0, -1, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2, 2, 0, 0, 0, 0, 0, 0, 1-2*E(12)^2, 1, -1, -1+2*E(12)^2, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, 1-2*E(12)^2, -1*E(12)^3, -1*E(12)^3, E(12)^3, E(12)+E(12)^-1, 1, -1*E(12)^3, -1, 1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 1-2*E(12)^2, E(12)+E(12)^-1, -1+2*E(12)^2, E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, -1, -1+2*E(12)^2, E(12)+E(12)^-1, E(12)^3, E(12)^3, -1*E(12)^3], [2, -2, 2, -2, 0, 0, -1, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2, 2, 0, 0, 0, 0, 0, 0, -1+2*E(12)^2, 1, -1, 1-2*E(12)^2, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, -1+2*E(12)^2, E(12)^3, E(12)^3, -1*E(12)^3, E(12)+E(12)^-1, 1, E(12)^3, -1, 1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1+2*E(12)^2, E(12)+E(12)^-1, 1-2*E(12)^2, -1*E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, -1, 1-2*E(12)^2, E(12)+E(12)^-1, -1*E(12)^3, -1*E(12)^3, E(12)^3], [2, -2, 2, -2, 0, 0, -1, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2, 2, 0, 0, 0, 0, 0, 0, -1+2*E(12)^2, 1, -1, 1-2*E(12)^2, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1+2*E(12)^2, -1*E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)-E(12)^-1, 1, -1*E(12)^3, -1, 1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, 1-2*E(12)^2, E(12)^3, E(12)+E(12)^-1, E(12)+E(12)^-1, -1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, E(12)^3, E(12)^3, -1*E(12)^3], [2, -2, 2, -2, 0, 0, -1, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2, 2, 0, 0, 0, 0, 0, 0, 1-2*E(12)^2, 1, -1, -1+2*E(12)^2, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, 1-2*E(12)^2, E(12)^3, E(12)^3, -1*E(12)^3, -1*E(12)-E(12)^-1, 1, E(12)^3, -1, 1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, -1+2*E(12)^2, -1*E(12)^3, E(12)+E(12)^-1, E(12)+E(12)^-1, -1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, -1*E(12)^3, -1*E(12)^3, E(12)^3], [2, -2, 2, -2, 0, 0, -1, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2, -2, 0, 0, 0, 0, 0, 0, 1-2*E(12)^2, 1, -1, -1+2*E(12)^2, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1+2*E(12)^2, -1*E(12)^3, E(12)^3, E(12)^3, E(12)+E(12)^-1, -1, E(12)^3, 1, -1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, 1-2*E(12)^2, E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, 1, 1-2*E(12)^2, E(12)+E(12)^-1, -1*E(12)^3, -1*E(12)^3, -1*E(12)^3], [2, -2, 2, -2, 0, 0, -1, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2, -2, 0, 0, 0, 0, 0, 0, -1+2*E(12)^2, 1, -1, 1-2*E(12)^2, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, 1-2*E(12)^2, E(12)^3, -1*E(12)^3, -1*E(12)^3, E(12)+E(12)^-1, -1, -1*E(12)^3, 1, -1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, -1+2*E(12)^2, -1*E(12)^3, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, 1, -1+2*E(12)^2, E(12)+E(12)^-1, E(12)^3, E(12)^3, E(12)^3], [2, -2, 2, -2, 0, 0, -1, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2, -2, 0, 0, 0, 0, 0, 0, -1+2*E(12)^2, 1, -1, 1-2*E(12)^2, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, 1-2*E(12)^2, -1*E(12)^3, E(12)^3, E(12)^3, -1*E(12)-E(12)^-1, -1, E(12)^3, 1, -1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 1-2*E(12)^2, E(12)+E(12)^-1, -1+2*E(12)^2, E(12)^3, E(12)+E(12)^-1, E(12)+E(12)^-1, 1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, -1*E(12)^3, -1*E(12)^3, -1*E(12)^3], [2, -2, 2, -2, 0, 0, -1, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2, -2, 0, 0, 0, 0, 0, 0, 1-2*E(12)^2, 1, -1, -1+2*E(12)^2, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, -1+2*E(12)^2, E(12)^3, -1*E(12)^3, -1*E(12)^3, -1*E(12)-E(12)^-1, -1, -1*E(12)^3, 1, -1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1+2*E(12)^2, E(12)+E(12)^-1, 1-2*E(12)^2, -1*E(12)^3, E(12)+E(12)^-1, E(12)+E(12)^-1, 1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, E(12)^3, E(12)^3, E(12)^3]]; ConvertToLibraryCharacterTableNC(chartbl_192_485);