# Group 192.891 downloaded from the LMFDB on 05 February 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(671362084075287509438503425,192); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; GPerm := Group( (1,13,2,14)(3,16,4,15)(5,12,6,11)(7,9,8,10), (1,9)(2,10)(3,11)(4,12)(5,13)(6,14)(7,15)(8,16), (1,5)(2,6)(3,7)(4,8)(9,13)(10,14)(11,15)(12,16), (17,19,18), (1,3)(2,4)(5,8)(6,7)(9,11)(10,12)(13,16)(14,15), (1,3)(2,4)(5,7)(6,8)(9,12)(10,11)(13,16)(14,15), (1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16) ); # Booleans booleans_192_891 := 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_192_891:=rec(); chartbl_192_891.IsFinite:= true; chartbl_192_891.UnderlyingCharacteristic:= 0; chartbl_192_891.UnderlyingGroup:= GPC; chartbl_192_891.Size:= 192; chartbl_192_891.InfoText:= "Character table for group 192.891 downloaded from the LMFDB."; chartbl_192_891.Identifier:= " C3*C2^3.D4 "; chartbl_192_891.NrConjugacyClasses:= 48; chartbl_192_891.ConjugacyClasses:= [ of ..., f4, f6*f7, f2*f4*f6*f7, f2*f4, f1, f2*f3, f1*f3*f6*f7, f7^2, f7, f3*f4, f1*f4*f6*f7, f1*f3*f4, f3*f4*f5*f7^2, f3*f5*f7^2, f5*f6, f1*f2*f5*f6, f1*f2*f3*f4*f5*f7^2, f4*f7^2, f4*f7, f6, f6*f7^2, f2*f4*f6, f2*f4*f6*f7^2, f2*f4*f7^2, f2*f4*f7, f1*f7, f1*f7^2, f2*f3*f7, f2*f3*f6, f1*f3*f6, f1*f2*f3*f7, f3*f7, f3*f6, f1*f6, f1*f6*f7^2, f1*f3*f7, f1*f3*f7^2, f3*f5, f3*f4*f5*f7, f3*f5*f7, f3*f4*f5, f5, f5*f7, f1*f5, f1*f5*f7, f1*f3*f5, f1*f3*f5*f7]; chartbl_192_891.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]; chartbl_192_891.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 10, 9, 2, 2, 2, 2, 2, 3, 4, 5, 10, 9, 10, 9, 10, 9, 10, 9, 9, 10, 9, 10, 10, 9, 19, 20, 20, 19, 19, 20, 19, 20, 20, 19, 21, 22, 23, 24, 25, 26], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 11, 12, 13, 15, 14, 16, 17, 18, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 11, 11, 12, 12, 13, 13, 14, 15, 14, 15, 16, 16, 17, 17, 18, 18]]; chartbl_192_891.SizesCentralizers:= [192, 192, 96, 96, 96, 48, 48, 48, 192, 192, 48, 48, 48, 48, 48, 24, 24, 24, 192, 192, 96, 96, 96, 96, 96, 96, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24]; chartbl_192_891.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A1", "3A-1", "4A", "4B", "4C", "4D1", "4D-1", "4E", "4F", "4G", "6A1", "6A-1", "6B1", "6B-1", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12D5", "12D-5", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1"]; chartbl_192_891.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 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]; chartbl_192_891.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, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-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, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), 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), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), E(3), -1*E(3), E(3)^-1, E(3)^-1, E(3), E(3), -1*E(3)^-1], [1, 1, 1, 1, 1, -1, -1, 1, E(3), E(3)^-1, -1, -1, -1, -1, 1, -1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, 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, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, E(3)^-1, -1*E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, -1*E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), E(3), E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), E(3)^-1], [1, 1, 1, 1, 1, -1, -1, 1, E(3), E(3)^-1, 1, 1, -1, -1, 1, 1, -1, -1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, E(3), -1*E(3), E(3)^-1, E(3), -1*E(3)^-1, E(3), -1*E(3), E(3)^-1, -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, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-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, -1*E(3), E(3), -1*E(3), E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1], [1, 1, 1, 1, 1, -1, 1, -1, E(3), E(3)^-1, -1, -1, 1, -1, -1, 1, 1, -1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, E(3)^-1, -1*E(3)^-1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, E(3)^-1, E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), E(3)^-1, E(3)^-1, E(3), E(3), -1*E(3), -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1], [1, 1, 1, 1, 1, -1, 1, -1, E(3), E(3)^-1, 1, 1, 1, -1, -1, -1, -1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), E(3)^-1, E(3), -1*E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, -1*E(3)^-1, -1*E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3), E(3), -1*E(3)^-1, E(3)^-1, E(3), -1*E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, -1, -1, E(3), E(3)^-1, -1, -1, -1, 1, -1, 1, -1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, E(3)^-1, -1*E(3), E(3), E(3)^-1, -1*E(3)^-1, E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), -1*E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), E(3), -1*E(3)^-1], [1, 1, 1, 1, 1, 1, -1, -1, E(3), E(3)^-1, 1, 1, -1, 1, -1, -1, 1, -1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, E(3)^-1, -1*E(3)], [1, 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), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), E(3), E(3), -1*E(3), -1*E(3)^-1, -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, -1, 1, 1, 1, -1, -1, -1, E(3), 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), E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, E(3)^-1, E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [2, 2, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 2, 0, 2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 2, -2, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, 2, 0, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 2, -2, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 2, 0, -2, 0, 2*E(3)^-1, 2*E(3), 0, 0, 2, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 0, 0, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 0, 2*E(3), 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 2, 0, -2, 0, 2*E(3), 2*E(3)^-1, 0, 0, 2, 0, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 0, 0, -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 2, 0, 2, 0, 2*E(3)^-1, 2*E(3), 0, 0, -2, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3), 2*E(3)^-1, 0, 0, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, 0, -2*E(3), 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 2, 0, 2, 0, 2*E(3), 2*E(3)^-1, 0, 0, -2, 0, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, 2*E(3), 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), 0, -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, -2, 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 2, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3), 0, -2*E(3), 0, 0, -2*E(3)^-1, 0, 0, 2*E(3)^-1, 0, 0, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, -2, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 2, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3)^-1, 0, -2*E(3)^-1, 0, 0, -2*E(3), 0, 0, 2*E(3), 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, 2, 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, -2, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3), 0, 2*E(3), 0, 0, 2*E(3)^-1, 0, 0, -2*E(3)^-1, 0, 0, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 2, -2, 2, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, -2, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3)^-1, 0, 2*E(3)^-1, 0, 0, 2*E(3), 0, 0, -2*E(3), 0, 0, -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, -2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 2, 0, 0, 0, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), 2*E(3), 0, 0, -2*E(3)^-1, 0, 0, -2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, -2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 2, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 0, 0, -2*E(3), 0, 0, -2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, 2, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, -2, 0, 0, 0, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), 2*E(3), 0, 0, 2*E(3)^-1, 0, 0, 2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), 0, 0, 0, 0, 0, 0], [2, 2, 2, -2, -2, 0, 0, 2, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, -2, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 0, 0, 2*E(3), 0, 0, 2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 4, 4, -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), -2*E(4), 0, 2*E(4), 0, 2*E(4), 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), 2*E(4), 0, -2*E(4), 0, -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -4*E(12)^2, 4*E(12)^4, -2*E(12)^3, 2*E(12)^3, 0, 0, 0, 0, 0, 0, 4*E(12)^2, -4*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12), 2*E(12)^5, 0, -2*E(12)^5, 0, -2*E(12), 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 4*E(12)^4, -4*E(12)^2, 2*E(12)^3, -2*E(12)^3, 0, 0, 0, 0, 0, 0, -4*E(12)^4, 4*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^5, -2*E(12), 0, 2*E(12), 0, 2*E(12)^5, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, -4*E(12)^2, 4*E(12)^4, 2*E(12)^3, -2*E(12)^3, 0, 0, 0, 0, 0, 0, 4*E(12)^2, -4*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12), -2*E(12)^5, 0, 2*E(12)^5, 0, 2*E(12), 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 4*E(12)^4, -4*E(12)^2, -2*E(12)^3, 2*E(12)^3, 0, 0, 0, 0, 0, 0, -4*E(12)^4, 4*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^5, 2*E(12), 0, -2*E(12), 0, -2*E(12)^5, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_192_891);