# Group 576.5064 downloaded from the LMFDB on 14 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(12922657207165348898869515497237107590631367842352747990793,576); a := GPC.1; b := GPC.3; c := GPC.6; d := GPC.7; GPerm := Group( (2,5)(6,8)(10,11), (1,2,3,6,4,5,7,8)(13,14), (1,3,4,7)(2,6,5,8), (1,4)(2,5)(3,7)(6,8), (13,14,15), (9,10,11), (12,13)(14,15), (12,14)(13,15) ); GLZN := Group([[[ZmodnZObj(13,20), ZmodnZObj(4,20)], [ZmodnZObj(8,20), ZmodnZObj(1,20)]],[[ZmodnZObj(17,20), ZmodnZObj(0,20)], [ZmodnZObj(10,20), ZmodnZObj(17,20)]],[[ZmodnZObj(3,20), ZmodnZObj(0,20)], [ZmodnZObj(0,20), ZmodnZObj(3,20)]],[[ZmodnZObj(8,20), ZmodnZObj(17,20)], [ZmodnZObj(19,20), ZmodnZObj(12,20)]],[[ZmodnZObj(9,20), ZmodnZObj(4,20)], [ZmodnZObj(0,20), ZmodnZObj(1,20)]],[[ZmodnZObj(9,20), ZmodnZObj(0,20)], [ZmodnZObj(0,20), ZmodnZObj(9,20)]],[[ZmodnZObj(7,20), ZmodnZObj(10,20)], [ZmodnZObj(10,20), ZmodnZObj(7,20)]],[[ZmodnZObj(11,20), ZmodnZObj(15,20)], [ZmodnZObj(5,20), ZmodnZObj(16,20)]]]); # Booleans booleans_576_5064 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := false); # Character Table chartbl_576_5064:=rec(); chartbl_576_5064.IsFinite:= true; chartbl_576_5064.UnderlyingCharacteristic:= 0; chartbl_576_5064.UnderlyingGroup:= GPC; chartbl_576_5064.Size:= 576; chartbl_576_5064.InfoText:= "Character table for group 576.5064 downloaded from the LMFDB."; chartbl_576_5064.Identifier:= " C12.(C2*S4) "; chartbl_576_5064.NrConjugacyClasses:= 48; chartbl_576_5064.ConjugacyClasses:= [ of ..., f4*f5, f7*f8, f4*f5*f7*f8, f2*f3*f5^2, f2*f3*f4*f7, f8, f5^2, f5*f8, f2*f4*f5, f2, f2*f4*f5*f6*f7*f8, f2*f6*f7*f8, f3*f4, f3*f4*f7, f4*f5*f8, f7, f4*f5*f7, f4, f4*f8^2, f2*f3, f2*f3*f5, f1*f2, f1*f4*f5, f1*f2*f6, f1*f4*f5*f7*f8, f1*f3*f4*f7*f8^2, f1*f2*f3*f5^2*f6*f8, f1*f3*f5^2*f8^2, f1*f2*f3*f4*f8^2, f2*f8^2, f2*f4*f5*f8, f2*f6*f7*f8^2, f2*f4*f5*f6*f7, f2*f5, f2*f4, f2*f5*f8, f2*f4*f8, f3, f3*f5, f1*f8, f1*f2*f8, f1*f2*f8^2, f1*f8^2, f1*f7, f1*f2*f7, f1*f2*f6*f8, f1*f6*f8]; chartbl_576_5064.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_576_5064.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 7, 8, 9, 2, 2, 2, 2, 2, 2, 7, 7, 7, 8, 9, 8, 8, 10, 11, 12, 13, 13, 12, 11, 10, 16, 16, 16, 16, 19, 19, 20, 20, 19, 19, 31, 32, 32, 31, 33, 34, 34, 33], [1, 2, 3, 4, 5, 6, 1, 1, 1, 11, 10, 13, 12, 14, 15, 2, 3, 4, 2, 2, 5, 5, 24, 23, 26, 25, 28, 27, 30, 29, 10, 11, 12, 13, 10, 11, 10, 11, 14, 14, 23, 24, 24, 23, 25, 26, 26, 25]]; chartbl_576_5064.SizesCentralizers:= [576, 576, 192, 192, 96, 32, 288, 72, 36, 576, 576, 192, 192, 96, 32, 288, 96, 96, 72, 36, 24, 24, 48, 48, 48, 48, 16, 16, 16, 16, 288, 288, 96, 96, 72, 72, 36, 36, 24, 24, 48, 48, 48, 48, 48, 48, 48, 48]; chartbl_576_5064.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "3A", "3B", "3C", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "6A", "6B", "6C", "6D", "6E", "6F1", "6F-1", "8A1", "8A-1", "8B1", "8B-1", "8C1", "8C-1", "8D1", "8D-1", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E5", "24A1", "24A-1", "24A7", "24A-7", "24B1", "24B-1", "24B7", "24B-7"]; chartbl_576_5064.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 3, 3, 3, 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, 24, 24, 24, 24, 24, 24, 24, 24]; chartbl_576_5064.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*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1*E(4), E(4), E(4), E(4), -1*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, E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, E(4), -1*E(4), -1*E(4), -1*E(4), 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*E(4), -1*E(4), E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1*E(4), E(4), E(4), E(4), -1*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, E(4), E(4), -1*E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), E(4)], [2, 2, 2, 2, 0, 0, -1, 2, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, 2, -1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], [2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, -2, -2, 2, -1, -1, 2, 2, 2, 2, -2, -2, 2, 2, 2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, -1, 2, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, 2, -1, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, -2, -2, 2, -1, -1, -2, -2, -2, -2, 2, 2, 2, 2, 2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, -2, -2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 2, 2, 2, -2*E(4), 2*E(4), -2*E(4), 2*E(4), 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 2, 2, 2, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, -1, 2, -1, -2, -2, -2, -2, 0, 0, -1, -1, -1, 2, -1, 0, 0, -2*E(4), -2*E(4), 2*E(4), 2*E(4), 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), E(4)], [2, 2, 2, 2, 0, 0, -1, 2, -1, -2, -2, -2, -2, 0, 0, -1, -1, -1, 2, -1, 0, 0, 2*E(4), 2*E(4), -2*E(4), -2*E(4), 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, 1, 1, 0, 0, -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4)], [2, -2, 2, -2, 0, 0, 2, -1, -1, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 0, 0, -2, 2, -2, 1, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 2, -1, -1, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 0, 0, -2, 2, -2, 1, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 2, -1, -1, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 0, 0, -2, 2, -2, 1, 1, -1+2*E(12)^2, 1-2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 2, -1, -1, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 0, 0, -2, 2, -2, 1, 1, 1-2*E(12)^2, -1+2*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, -1, 2, -1, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(24)^6, E(24)^6, -1*E(24)^6, E(24)^6, 2*E(24)^6, -2*E(24)^6, -1*E(24)^6, E(24)^6, 0, 0, -1*E(24)^3+2*E(24)^7, -1*E(24)-E(24)^5, E(24)+E(24)^5, -1*E(24)-E(24)^5, E(24)^3-2*E(24)^7, E(24)^3-2*E(24)^7, E(24)+E(24)^5, -1*E(24)^3+2*E(24)^7], [2, -2, 2, -2, 0, 0, -1, 2, -1, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(24)^6, -1*E(24)^6, E(24)^6, -1*E(24)^6, -2*E(24)^6, 2*E(24)^6, E(24)^6, -1*E(24)^6, 0, 0, -1*E(24)-E(24)^5, -1*E(24)^3+2*E(24)^7, E(24)^3-2*E(24)^7, -1*E(24)^3+2*E(24)^7, E(24)+E(24)^5, E(24)+E(24)^5, E(24)^3-2*E(24)^7, -1*E(24)-E(24)^5], [2, -2, 2, -2, 0, 0, -1, 2, -1, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(24)^6, E(24)^6, -1*E(24)^6, E(24)^6, 2*E(24)^6, -2*E(24)^6, -1*E(24)^6, E(24)^6, 0, 0, E(24)^3-2*E(24)^7, E(24)+E(24)^5, -1*E(24)-E(24)^5, E(24)+E(24)^5, -1*E(24)^3+2*E(24)^7, -1*E(24)^3+2*E(24)^7, -1*E(24)-E(24)^5, E(24)^3-2*E(24)^7], [2, -2, 2, -2, 0, 0, -1, 2, -1, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 0, 0, 1, -1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(24)^6, -1*E(24)^6, E(24)^6, -1*E(24)^6, -2*E(24)^6, 2*E(24)^6, E(24)^6, -1*E(24)^6, 0, 0, E(24)+E(24)^5, E(24)^3-2*E(24)^7, -1*E(24)^3+2*E(24)^7, E(24)^3-2*E(24)^7, -1*E(24)-E(24)^5, -1*E(24)-E(24)^5, -1*E(24)^3+2*E(24)^7, E(24)+E(24)^5], [3, 3, -1, -1, 3, -1, 3, 0, 0, 3, 3, -1, -1, 3, -1, 3, -1, -1, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, -1, 1, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, -1, -1], [3, 3, -1, -1, 3, -1, 3, 0, 0, 3, 3, -1, -1, 3, -1, 3, -1, -1, 0, 0, 0, 0, 1, -1, -1, 1, -1, 1, 1, -1, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 1, 1], [3, 3, -1, -1, -3, 1, 3, 0, 0, 3, 3, -1, -1, -3, 1, 3, -1, -1, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 1, -1, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, -1, -1], [3, 3, -1, -1, -3, 1, 3, 0, 0, 3, 3, -1, -1, -3, 1, 3, -1, -1, 0, 0, 0, 0, 1, -1, -1, 1, 1, -1, -1, 1, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 1, 1], [3, 3, -1, -1, -3, 1, 3, 0, 0, -3, -3, 1, 1, 3, -1, 3, -1, -1, 0, 0, 0, 0, -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4)], [3, 3, -1, -1, -3, 1, 3, 0, 0, -3, -3, 1, 1, 3, -1, 3, -1, -1, 0, 0, 0, 0, E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4)], [3, 3, -1, -1, 3, -1, 3, 0, 0, -3, -3, 1, 1, -3, 1, 3, -1, -1, 0, 0, 0, 0, -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4)], [3, 3, -1, -1, 3, -1, 3, 0, 0, -3, -3, 1, 1, -3, 1, 3, -1, -1, 0, 0, 0, 0, E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4)], [4, 4, 4, 4, 0, 0, -2, -2, 1, 4, 4, 4, 4, 0, 0, -2, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, -2, -2, 1, -4, -4, -4, -4, 0, 0, -2, -2, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, -2, -2, 1, -4*E(4), 4*E(4), -4*E(4), 4*E(4), 0, 0, 2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), E(4), -1*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, -2, -2, 1, 4*E(4), -4*E(4), 4*E(4), -4*E(4), 0, 0, 2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), -1*E(4), E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, -2, 0, 0, -3, 0, 0, 6, 6, -2, -2, 0, 0, -3, 1, 1, 0, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 1, 1], [6, 6, -2, -2, 0, 0, -3, 0, 0, 6, 6, -2, -2, 0, 0, -3, 1, 1, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -3, -3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1, -1, -1], [6, -6, -2, 2, 0, 0, 6, 0, 0, -6*E(4), 6*E(4), 2*E(4), -2*E(4), 0, 0, -6, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(4), -6*E(4), -2*E(4), 2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -6, -2, 2, 0, 0, 6, 0, 0, 6*E(4), -6*E(4), -2*E(4), 2*E(4), 0, 0, -6, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(4), 6*E(4), 2*E(4), -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, -2, 0, 0, -3, 0, 0, -6, -6, 2, 2, 0, 0, -3, 1, 1, 0, 0, 0, 0, -2*E(4), 2*E(4), -2*E(4), 2*E(4), 0, 0, 0, 0, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4)], [6, 6, -2, -2, 0, 0, -3, 0, 0, -6, -6, 2, 2, 0, 0, -3, 1, 1, 0, 0, 0, 0, 2*E(4), -2*E(4), 2*E(4), -2*E(4), 0, 0, 0, 0, 3, 3, -1, -1, 0, 0, 0, 0, 0, 0, E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4)], [6, -6, -2, 2, 0, 0, -3, 0, 0, -6*E(24)^6, 6*E(24)^6, 2*E(24)^6, -2*E(24)^6, 0, 0, 3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(24)^6, 3*E(24)^6, E(24)^6, -1*E(24)^6, 0, 0, 0, 0, 0, 0, -1*E(24)^3+2*E(24)^7, -1*E(24)-E(24)^5, E(24)+E(24)^5, E(24)+E(24)^5, -1*E(24)^3+2*E(24)^7, E(24)^3-2*E(24)^7, -1*E(24)-E(24)^5, E(24)^3-2*E(24)^7], [6, -6, -2, 2, 0, 0, -3, 0, 0, 6*E(24)^6, -6*E(24)^6, -2*E(24)^6, 2*E(24)^6, 0, 0, 3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(24)^6, -3*E(24)^6, -1*E(24)^6, E(24)^6, 0, 0, 0, 0, 0, 0, -1*E(24)-E(24)^5, -1*E(24)^3+2*E(24)^7, E(24)^3-2*E(24)^7, E(24)^3-2*E(24)^7, -1*E(24)-E(24)^5, E(24)+E(24)^5, -1*E(24)^3+2*E(24)^7, E(24)+E(24)^5], [6, -6, -2, 2, 0, 0, -3, 0, 0, -6*E(24)^6, 6*E(24)^6, 2*E(24)^6, -2*E(24)^6, 0, 0, 3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(24)^6, 3*E(24)^6, E(24)^6, -1*E(24)^6, 0, 0, 0, 0, 0, 0, E(24)^3-2*E(24)^7, E(24)+E(24)^5, -1*E(24)-E(24)^5, -1*E(24)-E(24)^5, E(24)^3-2*E(24)^7, -1*E(24)^3+2*E(24)^7, E(24)+E(24)^5, -1*E(24)^3+2*E(24)^7], [6, -6, -2, 2, 0, 0, -3, 0, 0, 6*E(24)^6, -6*E(24)^6, -2*E(24)^6, 2*E(24)^6, 0, 0, 3, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(24)^6, -3*E(24)^6, -1*E(24)^6, E(24)^6, 0, 0, 0, 0, 0, 0, E(24)+E(24)^5, E(24)^3-2*E(24)^7, -1*E(24)^3+2*E(24)^7, -1*E(24)^3+2*E(24)^7, E(24)+E(24)^5, -1*E(24)-E(24)^5, E(24)^3-2*E(24)^7, -1*E(24)-E(24)^5]]; ConvertToLibraryCharacterTableNC(chartbl_576_5064);