# Group 1944.1285 downloaded from the LMFDB on 18 July 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(49941066493262244302955204972984573104800047153725525327,1944); a := GPC.1; b := GPC.3; c := GPC.6; d := GPC.7; GPerm := Group( (28,29)(30,31)(33,34), (2,5)(3,9)(4,11)(6,12)(7,18)(8,20)(10,21)(13,16)(14,24)(15,26)(17,25)(19,27)(22,23)(28,30,31,29), (2,6,14)(3,10,23)(5,12,24)(7,19,13)(8,17,26)(9,21,22)(15,20,25)(16,18,27), (28,31)(29,30), (1,2,7,4,8,20,11,18,5)(3,6,15,10,17,24,23,27,13)(9,16,19,22,14,25,21,26,12), (32,33,34), (1,3,9)(2,6,16)(4,10,22)(5,13,12)(7,15,19)(8,17,14)(11,23,21)(18,27,26)(20,24,25), (1,4,11)(2,8,18)(3,10,23)(5,7,20)(6,17,27)(9,22,21)(12,19,25)(13,15,24)(14,26,16) ); # Booleans booleans_1944_1285 := 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_1944_1285:=rec(); chartbl_1944_1285.IsFinite:= true; chartbl_1944_1285.UnderlyingCharacteristic:= 0; chartbl_1944_1285.UnderlyingGroup:= GPC; chartbl_1944_1285.Size:= 1944; chartbl_1944_1285.InfoText:= "Character table for group 1944.1285 downloaded from the LMFDB."; chartbl_1944_1285.Identifier:= " (C6*He3).D6 "; chartbl_1944_1285.NrConjugacyClasses:= 69; chartbl_1944_1285.ConjugacyClasses:= [ of ..., f4*f5, f1*f2, f1*f2*f3*f5^2*f8^2, f8^2, f5, f5*f8^2, f6^2, f2, f2^2, f5*f6^2, f2*f5*f8, f2^2*f5^2*f8^2, f3*f4*f6^2, f4*f5*f8, f4, f4*f8, f4*f5*f6, f1*f2*f8, f1*f2*f8^2, f2^2*f4*f5*f6, f2*f4*f5*f6^2*f8, f4*f6, f1*f2*f6, f1*f2*f6^2, f2^2*f4*f8^2, f2*f4*f5^2*f8, f1*f5^2, f1*f2^2*f5^2, f1*f3*f5^2*f8^2, f1*f2^2*f3*f5^2*f8^2, f7^2, f7*f8, f7^2*f8^2, f5*f7^2, f5^2*f7*f8, f5*f7^2*f8^2, f2^2*f6^2*f7^2*f8, f2*f7*f8, f2^2*f5*f6^2*f7^2*f8, f2*f5^2*f7*f8, f2*f3*f4*f6*f7, f2^2*f3*f5^2*f6^2*f7*f8, f3*f7, f3*f5*f7, f2*f3*f6^2*f8^2, f2^2*f3*f4*f5^2*f6^2*f8, f2^2*f3*f5*f6^2*f8, f2*f3*f4*f5*f6^2*f8^2, f4*f5*f7, f4*f5*f7*f8, f4*f5*f7^2, f4*f7, f4*f7*f8, f4*f7^2, f2*f4*f5*f7, f2^2*f4*f5*f7, f1*f2*f7, f1*f2*f4*f7, f1*f2*f7^2*f8, f1*f2*f7*f8, f1*f2*f7*f8^2, f1*f2*f7^2, f2*f4*f7, f2^2*f4*f7, f1*f2^2*f5^2*f6*f7^2, f1*f5^2*f7*f8, f1*f5*f7^2*f8^2, f1*f2^2*f5*f6^2*f7*f8]; chartbl_1944_1285.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]; chartbl_1944_1285.ComputedPowerMaps:= [ , [1, 1, 1, 1, 5, 6, 7, 8, 10, 9, 11, 13, 12, 2, 5, 6, 7, 8, 5, 5, 9, 10, 11, 8, 8, 12, 13, 9, 10, 9, 10, 33, 34, 32, 36, 37, 35, 39, 38, 41, 40, 21, 22, 16, 16, 26, 27, 27, 26, 32, 34, 33, 35, 37, 36, 38, 39, 32, 32, 34, 34, 33, 33, 40, 41, 38, 39, 39, 38], [1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 19, 20, 20, 19, 19, 20, 15, 15, 19, 20, 19, 20]]; chartbl_1944_1285.SizesCentralizers:= [1944, 1944, 324, 12, 972, 972, 486, 324, 216, 216, 162, 108, 108, 36, 972, 972, 486, 324, 324, 324, 216, 216, 162, 108, 108, 108, 108, 36, 36, 12, 12, 324, 324, 324, 162, 162, 162, 108, 108, 54, 54, 36, 36, 36, 36, 36, 36, 36, 36, 324, 324, 324, 162, 162, 162, 108, 108, 108, 108, 108, 108, 108, 108, 54, 54, 36, 36, 36, 36]; chartbl_1944_1285.ClassNames:= ["1A", "2A", "2B", "2C", "3A", "3B", "3C", "3D", "3E1", "3E-1", "3F", "3G1", "3G-1", "4A", "6A", "6B", "6C", "6D", "6E1", "6E-1", "6F1", "6F-1", "6G", "6H1", "6H-1", "6I1", "6I-1", "6J1", "6J-1", "6K1", "6K-1", "9A1", "9A2", "9A4", "9B1", "9B2", "9B4", "9C1", "9C-1", "9D1", "9D-1", "12A1", "12A-1", "12B1", "12B5", "12C1", "12C-1", "12C5", "12C-5", "18A1", "18A5", "18A7", "18B1", "18B5", "18B7", "18C1", "18C-1", "18D1", "18D-1", "18D5", "18D-5", "18D7", "18D-7", "18E1", "18E-1", "18F1", "18F-1", "18G1", "18G-1"]; chartbl_1944_1285.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18]; chartbl_1944_1285.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, E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)], [1, 1, -1, -1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, -1, -1, E(3), E(3)^-1, 1, -1, -1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), -1, -1, -1, -1, -1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1], [1, 1, -1, -1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, -1, -1, E(3)^-1, E(3), 1, -1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, -1, -1, -1, -1, -1, -1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [1, 1, -1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), -1, 1, 1, 1, 1, -1, -1, E(3), E(3)^-1, 1, -1, -1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), -1, -1, -1, -1, -1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1], [1, 1, -1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, -1, 1, 1, 1, 1, -1, -1, E(3)^-1, E(3), 1, -1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, -1, -1, -1, -1, -1, -1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [1, 1, 1, -1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), -1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1], [1, 1, 1, -1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, -1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)], [2, 2, 0, 0, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 0, 0, 2, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, -1, -1, -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], [2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, -2, -2, -2, -2, 0, 0, -2, -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], [2, 2, -2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, -1, -1, -1, -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], [2, 2, 0, 0, 2, -1, -1, 2, 2, 2, -1, -1, -1, -2, 2, -1, -1, 2, 0, 0, 2, 2, -1, 0, 0, -1, -1, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -2, -2, 1, 1, 1, 1, 1, 1, 2, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, -1, -1, 2, 2*E(3)^-1, 2*E(3), -1, -1*E(3)^-1, -1*E(3), 2, 2, -1, -1, 2, 0, 0, 2*E(3), 2*E(3)^-1, -1, 0, 0, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 2, 2, 2, -1, -1, -1, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0], [2, 2, 0, 0, 2, -1, -1, 2, 2*E(3), 2*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, 2, 2, -1, -1, 2, 0, 0, 2*E(3)^-1, 2*E(3), -1, 0, 0, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), 2*E(3), 2*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 2, 2, 2, -1, -1, -1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2, 2*E(3)^-1, 2*E(3), 0, 2, 2, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1, -1, -1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1], [2, 2, 2, 0, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2, 2*E(3), 2*E(3)^-1, 0, 2, 2, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2, 2, 2, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1, -1, -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [2, -2, 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0, 0, 0], [2, 2, 0, 0, 2, -1, -1, 2, 2*E(3), 2*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -2, 2, -1, -1, 2, 0, 0, 2*E(3)^-1, 2*E(3), -1, 0, 0, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), -2*E(3), -2*E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 2, 2, 2, -1, -1, -1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, 2, 2, 2*E(3)^-1, 2*E(3), 2, 2*E(3)^-1, 2*E(3), 0, -2, -2, -2, -2, 0, 0, -2*E(3), -2*E(3)^-1, -2, 0, 0, -2*E(3), -2*E(3)^-1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1+2*E(3), -1-2*E(3), -1-2*E(3), 1+2*E(3), 1+2*E(3), -1-2*E(3), E(3)^-1, E(3), -1+E(3), -2-E(3), 2+E(3), 1-E(3)], [2, -2, 0, 0, 2, 2, 2, 2, 2*E(3), 2*E(3)^-1, 2, 2*E(3), 2*E(3)^-1, 0, -2, -2, -2, -2, 0, 0, -2*E(3)^-1, -2*E(3), -2, 0, 0, -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 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-1, 2*E(12)^4, -2*E(12)^2, -1*E(12)^4, E(12)^2, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^3, -1*E(12)+2*E(12)^3, E(12)-2*E(12)^3, E(12)+E(12)^3, -2, -2, -2, 1, 1, 1, 2*E(12)^2, -2*E(12)^4, 0, 0, 0, 0, 0, 0, -1*E(12)^2, E(12)^4, 0, 0, 0, 0], [2, -2, 0, 0, 2, -1, -1, 2, 2*E(12)^4, -2*E(12)^2, -1, -1*E(12)^4, E(12)^2, 0, -2, 1, 1, -2, 0, 0, 2*E(12)^2, -2*E(12)^4, 1, 0, 0, -1*E(12)^2, E(12)^4, 0, 0, 0, 0, 2, 2, 2, -1, -1, -1, -2*E(12)^2, 2*E(12)^4, E(12)^2, -1*E(12)^4, 0, 0, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, -1*E(12)+2*E(12)^3, -1*E(12)-E(12)^3, E(12)+E(12)^3, E(12)-2*E(12)^3, -2, -2, -2, 1, 1, 1, -2*E(12)^4, 2*E(12)^2, 0, 0, 0, 0, 0, 0, E(12)^4, -1*E(12)^2, 0, 0, 0, 0], [4, 4, 0, 0, 4, -2, -2, 4, 4, 4, -2, -2, -2, 0, 4, -2, -2, 4, 0, 0, 4, 4, -2, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [4, -4, 0, 0, 4, -2, -2, 4, 4, 4, -2, -2, -2, 0, -4, 2, 2, -4, 0, 0, -4, -4, 2, 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-3-6*E(9)^3, 3+6*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, -2*E(9)-2*E(9)^2-E(9)^4-E(9)^-4, 2*E(9)+2*E(9)^2+E(9)^4+E(9)^-4, -1*E(9)-E(9)^2+E(9)^4-2*E(9)^-4, E(9)+E(9)^2-E(9)^4+2*E(9)^-4, E(9)+E(9)^2+2*E(9)^4-E(9)^-4, -1*E(9)-E(9)^2-2*E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0], [6, -6, 0, 0, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 3, -6, 3, 0, 3+6*E(9)^3, -3-6*E(9)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, 2*E(9)+2*E(9)^2+E(9)^4+E(9)^-4, -2*E(9)-2*E(9)^2-E(9)^4-E(9)^-4, E(9)+E(9)^2-E(9)^4+2*E(9)^-4, -1*E(9)-E(9)^2+E(9)^4-2*E(9)^-4, -1*E(9)-E(9)^2-2*E(9)^4+E(9)^-4, E(9)+E(9)^2+2*E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0], [12, 12, 0, 0, 12, -6, -6, -6, 0, 0, 3, 0, 0, 0, 12, -6, -6, -6, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -12, 0, 0, 12, -6, -6, -6, 0, 0, 3, 0, 0, 0, -12, 6, 6, 6, 0, 0, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)-2*E(9)^2+4*E(9)^4+2*E(9)^-4, -4*E(9)+4*E(9)^2-2*E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2-2*E(9)^4-4*E(9)^-4, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(9)-2*E(9)^2-2*E(9)^4-4*E(9)^-4, 2*E(9)-2*E(9)^2+4*E(9)^4+2*E(9)^-4, -4*E(9)+4*E(9)^2-2*E(9)^4+2*E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, -12, 0, 0, -6, -6, 3, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(9)+2*E(9)^2-4*E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2+2*E(9)^4+4*E(9)^-4, 4*E(9)-4*E(9)^2+2*E(9)^4-2*E(9)^-4, E(9)-E(9)^2+2*E(9)^4+E(9)^-4, E(9)-E(9)^2-E(9)^4-2*E(9)^-4, -2*E(9)+2*E(9)^2-E(9)^4+E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(9)+4*E(9)^2-2*E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2-2*E(9)^4-4*E(9)^-4, 2*E(9)-2*E(9)^2+4*E(9)^4+2*E(9)^-4, 2*E(9)-2*E(9)^2+E(9)^4-E(9)^-4, -1*E(9)+E(9)^2+E(9)^4+2*E(9)^-4, -1*E(9)+E(9)^2-2*E(9)^4-E(9)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_1944_1285);