# Group 1944.3557 downloaded from the LMFDB on 13 June 2026. ## 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(99728284078434939821445511717423707898136789516692457247,1944); a := GPC.1; b := GPC.2; c := GPC.5; d := GPC.6; e := GPC.7; f := GPC.8; GPerm := Group( (2,5,7,17)(3,9,11,21)(6,12,19,16)(8,22,23,26)(10,18,25,20)(13,27,14,24)(28,29)(30,32)(31,33), (2,6,7,19)(3,10,11,25)(5,16,17,12)(8,13,23,14)(9,20,21,18)(22,24,26,27)(28,29)(30,33)(31,32), (2,7)(3,11)(5,17)(6,19)(8,23)(9,21)(10,25)(12,16)(13,14)(18,20)(22,26)(24,27), (1,2,7)(3,12,26)(4,9,21)(5,18,23)(6,14,10)(8,20,17)(11,22,16)(13,19,25)(15,24,27), (1,3,13)(2,8,18)(4,14,5)(6,16,7)(9,12,22)(10,19,24)(11,15,17)(20,25,21)(23,27,26), (28,30,31)(29,32,33), (28,31,30)(29,32,33), (1,4,15)(2,9,24)(3,14,17)(5,11,13)(6,20,26)(7,21,27)(8,12,10)(16,25,23)(18,22,19) ); # Booleans booleans_1944_3557 := 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_1944_3557:=rec(); chartbl_1944_3557.IsFinite:= true; chartbl_1944_3557.UnderlyingCharacteristic:= 0; chartbl_1944_3557.UnderlyingGroup:= GPC; chartbl_1944_3557.Size:= 1944; chartbl_1944_3557.InfoText:= "Character table for group 1944.3557 downloaded from the LMFDB."; chartbl_1944_3557.Identifier:= " C3^2:SU(3,2) "; chartbl_1944_3557.NrConjugacyClasses:= 54; chartbl_1944_3557.ConjugacyClasses:= [ of ..., f3*f4, f8, f8^2, f5, f4^2, f5*f8^2, f5^2*f8, f4*f8, f4^2*f8^2, f4*f5^2, f4*f5^2*f8^2, f4^2*f5*f8, f7, f5*f7, f5^2*f7, f4*f7, f4*f6, f4*f5*f7, f4*f5^2*f6, f4*f5*f6, f4*f5^2*f7, f1*f3*f4, f2*f4^2*f5^2*f6*f7*f8, f1*f2*f3*f4^2*f5^2*f6^2*f7, f3*f4*f7, f3*f4*f7*f8^2, f3*f4*f5^2, f3*f4^2*f6*f7, f3*f4*f5^2*f8, f3*f4*f5*f8^2, f3*f6*f7^2*f8, f3*f4^2*f6*f7^2, f3*f5, f3*f5*f8, f3*f5*f7, f1*f5, f1*f5^2, f2*f3*f5^2*f6^2*f8^2, f2*f4^2*f5^2*f6*f7, f1*f7, f1*f3*f4*f6^2, f2*f3*f4^2*f5*f7^2, f2*f3*f4*f5*f7^2, f1*f3*f5*f8^2, f1*f4^2*f5^2*f8, f1*f3*f5^2*f8, f1*f4^2*f5*f8^2, f2*f3*f4*f5^2*f6^2*f7^2*f8^2, f2*f4*f5^2*f6^2*f8^2, f2*f3*f4^2*f5^2*f6^2*f7^2, f2*f5^2*f6^2*f8, f1*f2*f4*f5^2*f6^2, f1*f2*f3*f4^2*f5^2*f6^2*f7*f8]; chartbl_1944_3557.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]; chartbl_1944_3557.ComputedPowerMaps:= [ , [1, 1, 4, 3, 5, 6, 8, 7, 10, 9, 11, 13, 12, 14, 16, 15, 18, 17, 20, 19, 22, 21, 2, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 28, 28, 26, 27, 26, 27, 29, 29, 30, 31, 31, 30, 32, 33, 33, 32, 27, 26], [1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 24, 25, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 23, 23, 24, 24, 23, 23, 24, 24, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25]]; chartbl_1944_3557.SizesCentralizers:= [1944, 216, 1944, 1944, 972, 972, 972, 972, 972, 972, 486, 486, 486, 81, 81, 81, 81, 81, 81, 81, 81, 81, 36, 36, 12, 216, 216, 108, 108, 108, 108, 108, 108, 54, 54, 54, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 12, 12]; chartbl_1944_3557.ClassNames:= ["1A", "2A", "3A1", "3A-1", "3B", "3C", "3D1", "3D-1", "3E1", "3E-1", "3F", "3G1", "3G-1", "3H", "3I1", "3I-1", "3J1", "3J-1", "3K1", "3K-1", "3L1", "3L-1", "4A", "4B", "4C", "6A1", "6A-1", "6B", "6C", "6D1", "6D-1", "6E1", "6E-1", "6F", "6G1", "6G-1", "12A1", "12A5", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D5", "12E1", "12E-1", "12E5", "12E-5", "12F1", "12F-1", "12F5", "12F-5", "12G1", "12G-1"]; chartbl_1944_3557.OrderClassRepresentatives:= [1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12]; chartbl_1944_3557.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], [2, 2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, 0, 0, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 0, 0, 2, 2, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 2, 0, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 0, 0, 2, 2, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0], [2, 2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -2, 0, 0, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 1, 1, 0, 0, -2, -2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, -2, 0, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 0, 0, -2, -2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, -2, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, -2, -2, 1, -2, 1, 1, -2, -2, 1, 1, 1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0], [2, -2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, E(12)+E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, 0, 0], [2, -2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, E(12)+E(12)^-1, 0, 0], [3, -1, 3*E(3)^-1, 3*E(3), 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1], [3, -1, 3*E(3), 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)], [3, -1, 3*E(3)^-1, 3*E(3), 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, E(3), E(3)^-1], [3, -1, 3*E(3), 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), E(3)^-1, E(3)], [3, -1, 3*E(3)^-1, 3*E(3), 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), 1, 1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), E(3)^-1, E(3), E(3), E(3)^-1, -1*E(3), -1*E(3)^-1], [3, -1, 3*E(3), 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1, -1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, 1, 1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3)], [3, -1, 3*E(3)^-1, 3*E(3), 3, 3, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 1, 1, -1*E(3)^-1, -1*E(3), E(3)^-1, E(3), -1, -1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1], [3, -1, 3*E(3), 3*E(3)^-1, 3, 3, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1*E(3)^-1, 1, 1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, -1, -1, E(3)^-1, E(3), E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)], [4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 1, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 4, 4, -2, -2, -2, -2, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, 4, -2, -2, -2, -2, -2, -2, 1, 1, 1, 4, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 2, 6*E(3)^-1, 6*E(3), 6, 6, 6*E(3), 6*E(3)^-1, 6*E(3)^-1, 6*E(3), 6, 6*E(3), 6*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2, 2, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 2, 6*E(3), 6*E(3)^-1, 6, 6, 6*E(3)^-1, 6*E(3), 6*E(3), 6*E(3)^-1, 6, 6*E(3)^-1, 6*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), 2, 2, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -2, 6*E(3)^-1, 6*E(3), -3, 6, -3*E(3), -3*E(3)^-1, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2*E(3), -2*E(3)^-1, 1, -2, E(3)^-1, E(3), -2*E(3), -2*E(3)^-1, 1, E(3)^-1, E(3), -1, -1, 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0], [6, -2, 6*E(3), 6*E(3)^-1, -3, 6, -3*E(3)^-1, -3*E(3), 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2*E(3)^-1, -2*E(3), 1, -2, E(3), E(3)^-1, -2*E(3)^-1, -2*E(3), 1, E(3), E(3)^-1, -1, -1, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0], [6, -2, 6*E(3)^-1, 6*E(3), 6, -3, 6*E(3), 6*E(3)^-1, -3*E(3)^-1, -3*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2*E(3), -2*E(3)^-1, -2, 1, -2*E(3)^-1, -2*E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, -1, -1, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 0, 0], [6, -2, 6*E(3), 6*E(3)^-1, 6, -3, 6*E(3)^-1, 6*E(3), -3*E(3), -3*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2*E(3)^-1, -2*E(3), -2, 1, -2*E(3), -2*E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, -1, -1, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0], [6, -2, 6*E(3)^-1, 6*E(3), -3, 6, -3*E(3), -3*E(3)^-1, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2*E(3), -2*E(3)^-1, 1, -2, E(3)^-1, E(3), -2*E(3), -2*E(3)^-1, 1, E(3)^-1, E(3), 1, 1, 0, 0, -2*E(3)^-1, -2*E(3), 0, 0, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0], [6, -2, 6*E(3), 6*E(3)^-1, -3, 6, -3*E(3)^-1, -3*E(3), 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2*E(3)^-1, -2*E(3), 1, -2, E(3), E(3)^-1, -2*E(3)^-1, -2*E(3), 1, E(3), E(3)^-1, 1, 1, 0, 0, -2*E(3), -2*E(3)^-1, 0, 0, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0], [6, -2, 6*E(3)^-1, 6*E(3), 6, -3, 6*E(3), 6*E(3)^-1, -3*E(3)^-1, -3*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2*E(3), -2*E(3)^-1, -2, 1, -2*E(3)^-1, -2*E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), 0, 0, -2*E(3)^-1, -2*E(3), 0, 0, 1, 1, 0, 0, 0, 0, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0], [6, -2, 6*E(3), 6*E(3)^-1, 6, -3, 6*E(3)^-1, 6*E(3), -3*E(3), -3*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2*E(3)^-1, -2*E(3), -2, 1, -2*E(3), -2*E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 0, 0, -2*E(3), -2*E(3)^-1, 0, 0, 1, 1, 0, 0, 0, 0, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0], [6, 2, -6*E(12)^2, 6*E(12)^4, -3, 6, -3*E(12)^4, 3*E(12)^2, -6*E(12)^2, 6*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^4, -2*E(12)^2, -1, 2, E(12)^2, -1*E(12)^4, 2*E(12)^4, -2*E(12)^2, -1, E(12)^2, -1*E(12)^4, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0, -1*E(12)+2*E(12)^3, -1*E(12)-E(12)^3, E(12)+E(12)^3, E(12)-2*E(12)^3, 0, 0, 0, 0, 0, 0], [6, 2, 6*E(12)^4, -6*E(12)^2, -3, 6, 3*E(12)^2, -3*E(12)^4, 6*E(12)^4, -6*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^2, 2*E(12)^4, -1, 2, -1*E(12)^4, E(12)^2, -2*E(12)^2, 2*E(12)^4, -1, -1*E(12)^4, E(12)^2, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^3, -1*E(12)+2*E(12)^3, E(12)-2*E(12)^3, E(12)+E(12)^3, 0, 0, 0, 0, 0, 0], [6, 2, -6*E(12)^2, 6*E(12)^4, -3, 6, -3*E(12)^4, 3*E(12)^2, -6*E(12)^2, 6*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^4, -2*E(12)^2, -1, 2, E(12)^2, -1*E(12)^4, 2*E(12)^4, -2*E(12)^2, -1, E(12)^2, -1*E(12)^4, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0, E(12)-2*E(12)^3, E(12)+E(12)^3, -1*E(12)-E(12)^3, -1*E(12)+2*E(12)^3, 0, 0, 0, 0, 0, 0], [6, 2, 6*E(12)^4, -6*E(12)^2, -3, 6, 3*E(12)^2, -3*E(12)^4, 6*E(12)^4, -6*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^2, 2*E(12)^4, -1, 2, -1*E(12)^4, E(12)^2, -2*E(12)^2, 2*E(12)^4, -1, -1*E(12)^4, E(12)^2, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0, E(12)+E(12)^3, E(12)-2*E(12)^3, -1*E(12)+2*E(12)^3, -1*E(12)-E(12)^3, 0, 0, 0, 0, 0, 0], [6, 2, -6*E(12)^2, 6*E(12)^4, 6, -3, 6*E(12)^4, -6*E(12)^2, 3*E(12)^2, -3*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^4, -2*E(12)^2, 2, -1, -2*E(12)^2, 2*E(12)^4, -1*E(12)^4, E(12)^2, -1, E(12)^2, -1*E(12)^4, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, -1*E(12)-E(12)^3, -1*E(12)+2*E(12)^3, E(12)-2*E(12)^3, E(12)+E(12)^3, 0, 0], [6, 2, 6*E(12)^4, -6*E(12)^2, 6, -3, -6*E(12)^2, 6*E(12)^4, -3*E(12)^4, 3*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^2, 2*E(12)^4, 2, -1, 2*E(12)^4, -2*E(12)^2, E(12)^2, -1*E(12)^4, -1, -1*E(12)^4, E(12)^2, 0, 0, 0, 0, 0, 0, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, -1*E(12)+2*E(12)^3, -1*E(12)-E(12)^3, E(12)+E(12)^3, E(12)-2*E(12)^3, 0, 0], [6, 2, -6*E(12)^2, 6*E(12)^4, 6, -3, 6*E(12)^4, -6*E(12)^2, 3*E(12)^2, -3*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^4, -2*E(12)^2, 2, -1, -2*E(12)^2, 2*E(12)^4, -1*E(12)^4, E(12)^2, -1, E(12)^2, -1*E(12)^4, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, E(12)+E(12)^3, E(12)-2*E(12)^3, -1*E(12)+2*E(12)^3, -1*E(12)-E(12)^3, 0, 0], [6, 2, 6*E(12)^4, -6*E(12)^2, 6, -3, -6*E(12)^2, 6*E(12)^4, -3*E(12)^4, 3*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^2, 2*E(12)^4, 2, -1, 2*E(12)^4, -2*E(12)^2, E(12)^2, -1*E(12)^4, -1, -1*E(12)^4, E(12)^2, 0, 0, 0, 0, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, E(12)-2*E(12)^3, E(12)+E(12)^3, -1*E(12)-E(12)^3, -1*E(12)+2*E(12)^3, 0, 0], [8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 8, 8, -4, 8, -4, -4, 8, 8, -4, -4, -4, -1, -1-3*E(3), 2+3*E(3), -1, -1, -1-3*E(3), 2+3*E(3), -1-3*E(3), 2+3*E(3), 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, 0, 8, 8, -4, 8, -4, -4, 8, 8, -4, -4, -4, -1, 2+3*E(3), -1-3*E(3), -1, -1, 2+3*E(3), -1-3*E(3), 2+3*E(3), -1-3*E(3), 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, 0, 8, 8, 8, -4, 8, 8, -4, -4, -4, -4, -4, -1, -1, -1, -1-3*E(3), 2+3*E(3), -1-3*E(3), 2+3*E(3), 2+3*E(3), -1-3*E(3), 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, 0, 8, 8, 8, -4, 8, 8, -4, -4, -4, -4, -4, -1, -1, -1, 2+3*E(3), -1-3*E(3), 2+3*E(3), -1-3*E(3), -1-3*E(3), 2+3*E(3), 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, 0, 8, 8, -4, -4, -4, -4, -4, -4, 2, 2, 2, -1, -1-3*E(3), 2+3*E(3), -1-3*E(3), 2+3*E(3), -1+3*E(3), -4-3*E(3), 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, 0, 8, 8, -4, -4, -4, -4, -4, -4, 2, 2, 2, -1, 2+3*E(3), -1-3*E(3), 2+3*E(3), -1-3*E(3), -4-3*E(3), -1+3*E(3), 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, 0, 8, 8, -4, -4, -4, -4, -4, -4, 2, 2, 2, -1, -1-3*E(3), 2+3*E(3), 2+3*E(3), -1-3*E(3), 2, 2, -1+3*E(3), -4-3*E(3), 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, 0, 8, 8, -4, -4, -4, -4, -4, -4, 2, 2, 2, -1, 2+3*E(3), -1-3*E(3), -1-3*E(3), 2+3*E(3), 2, 2, -4-3*E(3), -1+3*E(3), 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], [12, 4, 12*E(3)^-1, 12*E(3), -6, -6, -6*E(3), -6*E(3)^-1, -6*E(3)^-1, -6*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(3), 4*E(3)^-1, -2, -2, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 4, 12*E(3), 12*E(3)^-1, -6, -6, -6*E(3)^-1, -6*E(3), -6*E(3), -6*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(3)^-1, 4*E(3), -2, -2, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 1, E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -4, 12*E(3)^-1, 12*E(3), -6, -6, -6*E(3), -6*E(3)^-1, -6*E(3)^-1, -6*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(3), -4*E(3)^-1, 2, 2, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -4, 12*E(3), 12*E(3)^-1, -6, -6, -6*E(3)^-1, -6*E(3), -6*E(3), -6*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(3)^-1, -4*E(3), 2, 2, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_1944_3557);