# Group 320.1124 downloaded from the LMFDB on 12 November 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(23867638943993160981048007220319629459459,320); a := GPC.1; b := GPC.2; c := GPC.5; GPerm := Group( (2,3,4,5)(6,7,8,10,9,11,12,13)(14,15)(16,18)(17,19)(20,21), (14,16,15,18)(17,21,19,20), (14,17,15,19)(16,20,18,21), (2,4)(3,5)(6,8,9,12)(7,10,11,13), (14,15)(16,18)(17,19)(20,21), (6,9)(7,11)(8,12)(10,13), (1,2,3,5,4) ); GLZN := Group([[[ZmodnZObj(87,105), ZmodnZObj(55,105)], [ZmodnZObj(5,105), ZmodnZObj(99,105)]],[[ZmodnZObj(71,105), ZmodnZObj(0,105)], [ZmodnZObj(0,105), ZmodnZObj(71,105)]],[[ZmodnZObj(94,105), ZmodnZObj(95,105)], [ZmodnZObj(50,105), ZmodnZObj(11,105)]],[[ZmodnZObj(76,105), ZmodnZObj(0,105)], [ZmodnZObj(0,105), ZmodnZObj(76,105)]],[[ZmodnZObj(1,105), ZmodnZObj(21,105)], [ZmodnZObj(0,105), ZmodnZObj(1,105)]],[[ZmodnZObj(1,105), ZmodnZObj(35,105)], [ZmodnZObj(35,105), ZmodnZObj(71,105)]],[[ZmodnZObj(64,105), ZmodnZObj(70,105)], [ZmodnZObj(70,105), ZmodnZObj(29,105)]]]); # Booleans booleans_320_1124 := 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_320_1124:=rec(); chartbl_320_1124.IsFinite:= true; chartbl_320_1124.UnderlyingCharacteristic:= 0; chartbl_320_1124.UnderlyingGroup:= GPC; chartbl_320_1124.Size:= 320; chartbl_320_1124.InfoText:= "Character table for group 320.1124 downloaded from the LMFDB."; chartbl_320_1124.Identifier:= " C5:C8*Q8 "; chartbl_320_1124.NrConjugacyClasses:= 50; chartbl_320_1124.ConjugacyClasses:= [ of ..., f4*f6*f7^2, f4, f6*f7^2, f5*f7, f4*f5*f7, f1, f1*f5*f7, f1*f4, f1*f4*f5*f7, f3*f6*f7^2, f3*f4*f6*f7^2, f3, f3*f4, f3*f5, f3*f4*f5, f1*f3, f1*f3*f4, f1*f3*f5, f1*f3*f4*f5, f7^2, f1*f2, f1*f2*f3*f4*f6, f1*f2*f3*f6, f1*f2*f4, f1*f2*f6, f1*f2*f3*f4, f1*f2*f3, f1*f2*f4*f6, f2, f2*f3*f4, f2*f3, f2*f4, f2*f5, f2*f3*f4*f5, f2*f3*f5, f2*f4*f5, f1*f2*f5, f1*f2*f3*f4*f5, f1*f2*f3*f5, f1*f2*f4*f5, f4*f7, f4*f6, f6, f5, f4*f5, f1*f7, f1*f5, f1*f4*f7, f1*f4*f5]; chartbl_320_1124.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]; chartbl_320_1124.ComputedPowerMaps:= [ , [1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 21, 11, 12, 12, 11, 11, 12, 12, 11, 13, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 21, 21, 21, 44, 44, 44, 44, 44, 44], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 1, 25, 24, 23, 22, 29, 28, 27, 26, 33, 32, 31, 30, 37, 36, 35, 34, 41, 40, 39, 38, 3, 2, 4, 5, 6, 7, 8, 9, 10]]; chartbl_320_1124.SizesCentralizers:= [320, 320, 320, 320, 160, 160, 160, 160, 160, 160, 64, 64, 64, 64, 32, 32, 32, 32, 32, 32, 80, 64, 64, 64, 64, 64, 64, 64, 64, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 80, 80, 80, 40, 40, 40, 40, 40, 40]; chartbl_320_1124.ClassNames:= ["1A", "2A", "2B", "2C", "4A", "4B", "4C", "4D", "4E", "4F", "4G1", "4G-1", "4H1", "4H-1", "4I1", "4I-1", "4J1", "4J-1", "4K1", "4K-1", "5A", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8B3", "8B-3", "8C1", "8C-1", "8C3", "8C-3", "8D1", "8D-1", "8D3", "8D-3", "8E1", "8E-1", "8E3", "8E-3", "10A", "10B", "10C", "20A", "20B", "20C", "20D", "20E", "20F"]; chartbl_320_1124.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 20, 20, 20, 20, 20, 20]; chartbl_320_1124.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*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), 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, E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1*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*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), -1*E(4), 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, E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), E(4), -1*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*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*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, E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), 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*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), 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, -1, -1, -1, -1, -1, 1, E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -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*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, 1, E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8), -1*E(8)^3, -1*E(8), E(8)^3, E(8), -1*E(8)^3, -1*E(8)^3, -1*E(8), -1*E(8), E(8)^3, E(8)^3, E(8), 1, -1, -1, 1, 1, 1, -1, -1, -1], [1, -1, -1, 1, -1, 1, -1, 1, 1, -1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, 1, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8)^3, E(8), E(8)^3, -1*E(8), -1*E(8)^3, E(8), E(8), E(8)^3, E(8)^3, -1*E(8), -1*E(8), -1*E(8)^3, 1, -1, -1, 1, 1, 1, -1, -1, -1], [1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, 1, -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8)^3, -1*E(8), E(8), -1*E(8), E(8)^3, E(8), -1*E(8)^3, -1*E(8), E(8)^3, E(8)^3, E(8), E(8), -1*E(8)^3, -1*E(8)^3, -1*E(8), 1, -1, -1, 1, 1, 1, -1, -1, -1], [1, -1, -1, 1, -1, 1, -1, 1, 1, -1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, 1, E(8), E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, E(8), E(8)^3, -1*E(8), -1*E(8), -1*E(8)^3, -1*E(8)^3, E(8), E(8), E(8)^3, 1, -1, -1, 1, 1, 1, -1, -1, -1], [1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, 1, E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), -1*E(8), E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8), -1*E(8)^3, E(8)^3, E(8), 1, -1, -1, -1, -1, 1, 1, 1, -1], [1, -1, -1, 1, -1, 1, 1, -1, -1, 1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, 1, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8), -1*E(8)^3, E(8)^3, E(8)^3, -1*E(8), E(8)^3, E(8), E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8)^3, E(8), -1*E(8), -1*E(8)^3, 1, -1, -1, -1, -1, 1, 1, 1, -1], [1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, 1, -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8)^3, -1*E(8), E(8), E(8), -1*E(8)^3, E(8), E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8), E(8)^3, -1*E(8)^3, -1*E(8), 1, -1, -1, -1, -1, 1, 1, 1, -1], [1, -1, -1, 1, -1, 1, 1, -1, -1, 1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, 1, E(8), E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, -1*E(8)^3, E(8), -1*E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8)^3, -1*E(8), E(8), E(8)^3, 1, -1, -1, -1, -1, 1, 1, 1, -1], [1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, 1, E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8), E(8)^3, E(8), E(8)^3, -1*E(8), -1*E(8)^3, E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8)^3, -1*E(8), 1, -1, -1, 1, -1, -1, -1, 1, 1], [1, -1, -1, 1, 1, -1, -1, -1, 1, 1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, 1, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8), E(8)^3, E(8), -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8), E(8)^3, 1, -1, -1, 1, -1, -1, -1, 1, 1], [1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, 1, -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8)^3, -1*E(8), E(8), -1*E(8), -1*E(8)^3, -1*E(8), -1*E(8)^3, E(8), E(8)^3, -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8)^3, E(8), 1, -1, -1, 1, -1, -1, -1, 1, 1], [1, -1, -1, 1, 1, -1, -1, -1, 1, 1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, 1, E(8), E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8)^3, E(8), E(8)^3, E(8), -1*E(8)^3, -1*E(8), E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8), -1*E(8)^3, 1, -1, -1, 1, -1, -1, -1, 1, 1], [1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, 1, E(8)^3, E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), -1*E(8), -1*E(8)^3, E(8), -1*E(8)^3, E(8), E(8)^3, E(8)^3, E(8), -1*E(8), E(8)^3, -1*E(8)^3, -1*E(8), 1, -1, -1, -1, 1, -1, 1, -1, 1], [1, -1, -1, 1, 1, -1, 1, 1, -1, -1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, 1, -1*E(8), -1*E(8)^3, E(8), -1*E(8), E(8)^3, E(8), -1*E(8)^3, E(8)^3, E(8)^3, E(8), -1*E(8)^3, E(8), -1*E(8)^3, -1*E(8), -1*E(8), -1*E(8)^3, E(8)^3, -1*E(8), E(8), E(8)^3, 1, -1, -1, -1, 1, -1, 1, -1, 1], [1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, 1, -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, E(8), E(8)^3, -1*E(8), E(8), E(8), E(8)^3, -1*E(8), E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8)^3, -1*E(8), E(8), -1*E(8)^3, E(8)^3, E(8), 1, -1, -1, -1, 1, -1, 1, -1, 1], [1, -1, -1, 1, 1, -1, 1, 1, -1, -1, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, 1, E(8), E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8)^3, -1*E(8)^3, -1*E(8), E(8)^3, -1*E(8), E(8)^3, E(8), E(8), E(8)^3, -1*E(8)^3, E(8), -1*E(8), -1*E(8)^3, 1, -1, -1, -1, 1, -1, 1, -1, 1], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -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, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 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, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, -2*E(8)^2, 2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 0, 0, 0, 0, 0, 0, 2, 2*E(8)^3, 2*E(8), -2*E(8)^3, -2*E(8)^3, -2*E(8), 2*E(8)^3, -2*E(8), 2*E(8), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2*E(8)^2, -2*E(8)^2, -2*E(8)^2, 2*E(8)^2, 0, 0, 0, 0, 0, 0, 2, -2*E(8), -2*E(8)^3, 2*E(8), 2*E(8), 2*E(8)^3, -2*E(8), 2*E(8)^3, -2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, -2*E(8)^2, 2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 0, 0, 0, 0, 0, 0, 2, -2*E(8)^3, -2*E(8), 2*E(8)^3, 2*E(8)^3, 2*E(8), -2*E(8)^3, 2*E(8), -2*E(8), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0], [2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2*E(8)^2, -2*E(8)^2, -2*E(8)^2, 2*E(8)^2, 0, 0, 0, 0, 0, 0, 2, 2*E(8), 2*E(8)^3, -2*E(8), -2*E(8), -2*E(8)^3, 2*E(8), -2*E(8)^3, 2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1], [4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 1, 1, -1, 1], [4, 4, 4, 4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, 1, 1], [4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, 1, 1, -1], [4, -4, -4, 4, -4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, 1, 1, 1], [4, -4, -4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1], [4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, 1, 1, -1, -1], [4, -4, -4, 4, 4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, -1, 1, -1], [8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0], [8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_320_1124);