# Group 880.12 downloaded from the LMFDB on 19 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(773004582467191927954543077737963696919000309,880); a := GPC.1; b := GPC.5; GPerm := Group( (2,3)(4,5)(6,7)(8,10)(9,11)(12,13,14,16,15,17,18,19), (20,21), (2,4,6,8,9)(3,5,7,10,11), (12,14,15,18)(13,16,17,19), (12,15)(13,17)(14,18)(16,19), (1,2,5,8,6,9,11,7,10,4,3) ); GLZN := Group([[[ZmodnZObj(32,33), ZmodnZObj(25,33)], [ZmodnZObj(22,33), ZmodnZObj(12,33)]],[[ZmodnZObj(25,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(1,33)]],[[ZmodnZObj(23,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(23,33)]],[[ZmodnZObj(10,33), ZmodnZObj(0,33)], [ZmodnZObj(0,33), ZmodnZObj(10,33)]],[[ZmodnZObj(1,33), ZmodnZObj(3,33)], [ZmodnZObj(0,33), ZmodnZObj(1,33)]],[[ZmodnZObj(23,33), ZmodnZObj(11,33)], [ZmodnZObj(11,33), ZmodnZObj(1,33)]]]); # Booleans booleans_880_12 := rec( Agroup := true, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := true, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_880_12:=rec(); chartbl_880_12.IsFinite:= true; chartbl_880_12.UnderlyingCharacteristic:= 0; chartbl_880_12.UnderlyingGroup:= GPC; chartbl_880_12.Size:= 880; chartbl_880_12.InfoText:= "Character table for group 880.12 downloaded from the LMFDB."; chartbl_880_12.Identifier:= " C22:C40 "; chartbl_880_12.NrConjugacyClasses:= 88; chartbl_880_12.ConjugacyClasses:= [ of ..., f5*f6^5, f3*f4^2*f5*f6^5, f3*f4^2, f2*f4*f5*f6^5, f2*f3*f4^3*f5*f6^5, f2*f4, f2*f3*f4^3, f4^2*f6^8, f4^3*f6^5, f4^4*f6^4, f4*f6^6, f1*f3, f1*f2*f4^4, f1*f2*f3*f4, f1*f4^3, f1*f3*f5*f6^7, f1*f2*f4^4*f5*f6^7, f1*f2*f3*f4*f5*f6^7, f1*f4^3*f5*f6^7, f4*f5, f4^4*f5, f4^3*f5, f4^2*f5, f3*f5, f3*f4^4*f5, f3*f4*f5, f3*f4^3*f5, f3*f6^2, f3*f4^4*f6, f3*f4*f6^6, f3*f4^3*f6^9, f6, f2*f5, f2*f3*f4^4*f5, f2*f3*f5, f2*f4^4*f5, f2*f3*f4*f5, f2*f4^3*f5, f2*f4^2*f5, f2*f3*f4^2*f5, f2, f2*f3*f4^4, f2*f3, f2*f4^4, f2*f3*f4, f2*f4^3, f2*f4^2, f2*f3*f4^2, f5, f3*f4^2*f5, f3*f4^2*f6^2, f1, f1*f2*f3*f4^4, f1*f2, f1*f3*f4^4, f1*f2*f3, f1*f4^4, f1*f4, f1*f2*f3*f4^3, f1*f2*f4, f1*f3*f4^3, f1*f3*f4, f1*f2*f4^3, f1*f4^2, f1*f2*f3*f4^2, f1*f2*f4^2, f1*f3*f4^2, f1*f5, f1*f2*f3*f4^4*f5, f1*f2*f5, f1*f3*f4^4*f5, f1*f2*f3*f5, f1*f4^4*f5, f1*f4*f5, f1*f2*f3*f4^3*f5, f1*f2*f4*f5, f1*f3*f4^3*f5, f1*f3*f4*f5, f1*f2*f4^3*f5, f1*f4^2*f5, f1*f2*f3*f4^2*f5, f1*f2*f4^2*f5, f1*f3*f4^2*f5, f2*f4*f6, f2*f3*f4^3*f6, f2*f4*f5, f2*f3*f4^3*f5]; chartbl_880_12.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, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88]; chartbl_880_12.ComputedPowerMaps:= [ , [1, 1, 1, 1, 4, 4, 4, 4, 11, 12, 10, 9, 7, 8, 8, 7, 7, 8, 8, 7, 9, 10, 12, 11, 12, 11, 10, 9, 12, 11, 10, 9, 33, 29, 30, 31, 32, 32, 31, 30, 29, 29, 30, 31, 32, 32, 31, 30, 29, 33, 33, 33, 42, 43, 44, 45, 46, 47, 48, 49, 49, 48, 47, 46, 45, 44, 43, 42, 42, 43, 44, 45, 46, 47, 48, 49, 49, 48, 47, 46, 45, 44, 43, 42, 52, 52, 52, 52], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 16, 15, 14, 13, 20, 19, 18, 17, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 33, 5, 6, 6, 5, 6, 5, 5, 6, 7, 8, 8, 7, 8, 7, 7, 8, 50, 51, 52, 13, 14, 15, 16, 14, 13, 13, 14, 15, 16, 16, 15, 13, 14, 15, 16, 17, 18, 19, 20, 18, 17, 17, 18, 19, 20, 20, 19, 17, 18, 19, 20, 85, 86, 87, 88], [1, 2, 3, 4, 6, 5, 8, 7, 9, 10, 11, 12, 15, 16, 13, 14, 19, 20, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 1, 41, 40, 39, 38, 37, 36, 35, 34, 49, 48, 47, 46, 45, 44, 43, 42, 2, 3, 4, 61, 62, 58, 57, 56, 55, 67, 68, 53, 54, 66, 65, 64, 63, 59, 60, 77, 78, 74, 73, 72, 71, 83, 84, 69, 70, 82, 81, 80, 79, 75, 76, 8, 7, 6, 5]]; chartbl_880_12.SizesCentralizers:= [880, 880, 880, 880, 880, 880, 880, 880, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 88, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 88, 88, 88, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 88, 88, 88, 88]; chartbl_880_12.ClassNames:= ["1A", "2A", "2B", "2C", "4A1", "4A-1", "4B1", "4B-1", "5A1", "5A-1", "5A2", "5A-2", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8B3", "8B-3", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "11A", "20A1", "20A-1", "20A3", "20A-3", "20A7", "20A-7", "20A9", "20A-9", "20B1", "20B-1", "20B3", "20B-3", "20B7", "20B-7", "20B9", "20B-9", "22A", "22B", "22C", "40A1", "40A-1", "40A3", "40A-3", "40A7", "40A-7", "40A9", "40A-9", "40A11", "40A-11", "40A13", "40A-13", "40A17", "40A-17", "40A19", "40A-19", "40B1", "40B-1", "40B3", "40B-3", "40B7", "40B-7", "40B9", "40B-9", "40B11", "40B-11", "40B13", "40B-13", "40B17", "40B-17", "40B19", "40B-19", "44A1", "44A-1", "44B1", "44B-1"]; chartbl_880_12.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 22, 22, 22, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 44, 44, 44, 44]; chartbl_880_12.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*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, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 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), -1*E(4), E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1, 1, 1, -1], [1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 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, -1, 1, -1*E(4), E(4), -1*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), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -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, 1, 1, 1, 1, 1, 1, 1, 1, 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), E(4), -1*E(4), 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), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*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), E(4), -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, 1, 1, 1, 1, 1, 1, 1, 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), -1*E(4), E(4), -1*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), -1*E(4), E(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1, -1, -1, -1], [1, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-2, E(5)^-2, 1, E(5), E(5)^2, E(5)^-1, E(5)^2, E(5), E(5), E(5)^-2, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^2, 1, 1, 1, E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, E(5), E(5)^-1, E(5), E(5)^-2, E(5), E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5), E(5)^-2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5)^2, E(5)^2, 1, E(5)^-1, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^2, E(5), E(5)^2, E(5)^-2, 1, 1, 1, E(5)^-1, E(5)^2, E(5), E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-2, E(5)^-1, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^2, E(5)^-2, E(5)^-2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^2, E(5)^-2, 1, 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^2, E(5), E(5), E(5)^2, E(5)^-2, E(5)^-2, 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1, 1, 1, 1], [1, -1, 1, -1, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, 1, 1, 1, 1, E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8)^3, E(8), E(8)^3, E(8), -1*E(8), 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1*E(8)^2, 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, -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, -1, E(8)^3, E(8), E(8), E(8)^3, E(8), E(8)^3, E(8)^3, -1*E(8), -1*E(8), E(8), E(8), E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), -1*E(8)^3, E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8)^3, E(8)^3, E(8), -1*E(8), -1*E(8)^3, -1*E(8)^3, E(8)^3, -1*E(8)^3, -1*E(8), -1*E(8)^3, E(8), -1*E(8), -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2], [1, -1, 1, -1, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, 1, 1, 1, 1, -1*E(8), E(8)^3, E(8), E(8), -1*E(8)^3, -1*E(8), -1*E(8)^3, E(8)^3, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, E(8)^2, -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, E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, 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E(40)^7, -1*E(40)^9, -1*E(40)^9, -1*E(40)^13, -1*E(40), -1*E(40)^11, -1*E(40)^17, E(40)^3, -1*E(40)^3, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10], [1, -1, 1, -1, -1*E(40)^10, E(40)^10, E(40)^10, -1*E(40)^10, E(40)^8, -1*E(40)^12, -1*E(40)^4, E(40)^16, -1*E(40)^15, E(40)^5, E(40)^15, E(40)^15, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, E(40)^5, E(40)^8, E(40)^4, E(40)^16, E(40)^12, E(40)^4, E(40)^12, -1*E(40)^12, -1*E(40)^4, -1*E(40)^16, -1*E(40)^16, -1*E(40)^8, -1*E(40)^8, 1, E(40)^6, E(40)^2, -1*E(40)^14, -1*E(40)^2, -1*E(40)^6, -1*E(40)^6, E(40)^18, -1*E(40)^18, E(40)^6, -1*E(40)^2, E(40)^14, E(40)^14, E(40)^18, -1*E(40)^14, -1*E(40)^18, E(40)^2, -1, 1, -1, E(40)^11, -1*E(40)^13, E(40)^9, E(40)^3, -1*E(40)^13, -1*E(40)^7, E(40)^19, -1*E(40)^17, -1*E(40), E(40)^9, E(40), E(40)^3, -1*E(40), -1*E(40)^3, E(40), -1*E(40)^9, -1*E(40)^19, E(40)^11, E(40)^13, E(40)^7, E(40)^7, E(40)^19, E(40)^17, E(40)^13, -1*E(40)^11, -1*E(40)^11, -1*E(40)^7, -1*E(40)^19, -1*E(40)^9, -1*E(40)^3, E(40)^17, -1*E(40)^17, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^10], [1, -1, 1, -1, E(40)^10, -1*E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^12, E(40)^8, E(40)^16, -1*E(40)^4, E(40)^5, -1*E(40)^15, -1*E(40)^5, -1*E(40)^5, E(40)^15, E(40)^5, E(40)^15, -1*E(40)^15, -1*E(40)^12, -1*E(40)^16, -1*E(40)^4, -1*E(40)^8, -1*E(40)^16, -1*E(40)^8, E(40)^8, E(40)^16, E(40)^4, E(40)^4, E(40)^12, E(40)^12, 1, -1*E(40)^14, -1*E(40)^18, E(40)^6, E(40)^18, E(40)^14, E(40)^14, -1*E(40)^2, E(40)^2, -1*E(40)^14, E(40)^18, -1*E(40)^6, -1*E(40)^6, -1*E(40)^2, E(40)^6, E(40)^2, -1*E(40)^18, -1, 1, -1, -1*E(40)^9, E(40)^7, -1*E(40)^11, -1*E(40)^17, E(40)^7, E(40)^13, -1*E(40), E(40)^3, E(40)^19, -1*E(40)^11, -1*E(40)^19, -1*E(40)^17, E(40)^19, E(40)^17, -1*E(40)^19, E(40)^11, E(40), -1*E(40)^9, -1*E(40)^7, -1*E(40)^13, -1*E(40)^13, -1*E(40), -1*E(40)^3, -1*E(40)^7, E(40)^9, E(40)^9, E(40)^13, E(40), E(40)^11, E(40)^17, -1*E(40)^3, E(40)^3, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10], [1, 1, -1, -1, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^4, E(40)^16, -1*E(40)^12, E(40)^8, E(40)^15, -1*E(40)^5, E(40)^15, -1*E(40)^15, -1*E(40)^5, -1*E(40)^15, E(40)^5, E(40)^5, E(40)^4, -1*E(40)^12, -1*E(40)^8, E(40)^16, E(40)^12, -1*E(40)^16, -1*E(40)^16, E(40)^12, -1*E(40)^8, E(40)^8, E(40)^4, -1*E(40)^4, 1, -1*E(40)^18, E(40)^6, -1*E(40)^2, -1*E(40)^6, -1*E(40)^18, E(40)^18, -1*E(40)^14, -1*E(40)^14, E(40)^18, E(40)^6, -1*E(40)^2, E(40)^2, E(40)^14, E(40)^2, E(40)^14, -1*E(40)^6, 1, -1, -1, E(40)^3, E(40)^9, -1*E(40)^17, -1*E(40)^19, -1*E(40)^9, -1*E(40)^11, -1*E(40)^7, E(40), E(40)^13, E(40)^17, -1*E(40)^13, E(40)^19, -1*E(40)^13, E(40)^19, E(40)^13, E(40)^17, -1*E(40)^7, -1*E(40)^3, -1*E(40)^9, -1*E(40)^11, E(40)^11, E(40)^7, -1*E(40), E(40)^9, -1*E(40)^3, E(40)^3, E(40)^11, E(40)^7, -1*E(40)^17, -1*E(40)^19, E(40), -1*E(40), -1*E(40)^10, -1*E(40)^10, E(40)^10, E(40)^10], [1, 1, -1, -1, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^16, -1*E(40)^4, E(40)^8, -1*E(40)^12, -1*E(40)^5, E(40)^15, -1*E(40)^5, E(40)^5, E(40)^15, E(40)^5, -1*E(40)^15, -1*E(40)^15, -1*E(40)^16, E(40)^8, E(40)^12, -1*E(40)^4, -1*E(40)^8, E(40)^4, E(40)^4, -1*E(40)^8, E(40)^12, -1*E(40)^12, -1*E(40)^16, E(40)^16, 1, E(40)^2, -1*E(40)^14, E(40)^18, E(40)^14, E(40)^2, -1*E(40)^2, E(40)^6, E(40)^6, -1*E(40)^2, -1*E(40)^14, E(40)^18, -1*E(40)^18, -1*E(40)^6, -1*E(40)^18, -1*E(40)^6, E(40)^14, 1, -1, -1, -1*E(40)^17, -1*E(40)^11, E(40)^3, E(40), E(40)^11, E(40)^9, E(40)^13, -1*E(40)^19, -1*E(40)^7, -1*E(40)^3, E(40)^7, -1*E(40), E(40)^7, -1*E(40), -1*E(40)^7, -1*E(40)^3, E(40)^13, E(40)^17, E(40)^11, E(40)^9, -1*E(40)^9, -1*E(40)^13, E(40)^19, -1*E(40)^11, E(40)^17, -1*E(40)^17, -1*E(40)^9, -1*E(40)^13, E(40)^3, E(40), -1*E(40)^19, E(40)^19, E(40)^10, E(40)^10, -1*E(40)^10, -1*E(40)^10], [1, 1, -1, -1, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^4, E(40)^16, -1*E(40)^12, E(40)^8, -1*E(40)^15, E(40)^5, -1*E(40)^15, E(40)^15, E(40)^5, E(40)^15, -1*E(40)^5, -1*E(40)^5, E(40)^4, -1*E(40)^12, -1*E(40)^8, E(40)^16, E(40)^12, -1*E(40)^16, -1*E(40)^16, E(40)^12, -1*E(40)^8, E(40)^8, E(40)^4, -1*E(40)^4, 1, -1*E(40)^18, E(40)^6, -1*E(40)^2, -1*E(40)^6, -1*E(40)^18, E(40)^18, -1*E(40)^14, -1*E(40)^14, E(40)^18, E(40)^6, -1*E(40)^2, E(40)^2, E(40)^14, E(40)^2, E(40)^14, -1*E(40)^6, 1, -1, -1, -1*E(40)^3, -1*E(40)^9, E(40)^17, E(40)^19, E(40)^9, E(40)^11, E(40)^7, -1*E(40), -1*E(40)^13, -1*E(40)^17, E(40)^13, -1*E(40)^19, E(40)^13, -1*E(40)^19, -1*E(40)^13, -1*E(40)^17, E(40)^7, E(40)^3, E(40)^9, E(40)^11, -1*E(40)^11, -1*E(40)^7, E(40), -1*E(40)^9, E(40)^3, -1*E(40)^3, -1*E(40)^11, -1*E(40)^7, E(40)^17, E(40)^19, -1*E(40), E(40), -1*E(40)^10, -1*E(40)^10, E(40)^10, E(40)^10], [1, 1, -1, -1, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10, E(40)^16, -1*E(40)^4, E(40)^8, -1*E(40)^12, E(40)^5, -1*E(40)^15, E(40)^5, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, E(40)^15, E(40)^15, -1*E(40)^16, E(40)^8, E(40)^12, -1*E(40)^4, -1*E(40)^8, E(40)^4, E(40)^4, -1*E(40)^8, E(40)^12, 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-1*E(40)^16, E(40)^16, -1*E(40)^8, E(40)^8, 1, E(40)^6, -1*E(40)^2, E(40)^14, E(40)^2, E(40)^6, -1*E(40)^6, E(40)^18, E(40)^18, -1*E(40)^6, -1*E(40)^2, E(40)^14, -1*E(40)^14, -1*E(40)^18, -1*E(40)^14, -1*E(40)^18, E(40)^2, 1, -1, -1, -1*E(40)^11, E(40)^13, E(40)^9, E(40)^3, -1*E(40)^13, -1*E(40)^7, -1*E(40)^19, -1*E(40)^17, E(40), -1*E(40)^9, -1*E(40), -1*E(40)^3, -1*E(40), -1*E(40)^3, E(40), -1*E(40)^9, -1*E(40)^19, E(40)^11, -1*E(40)^13, -1*E(40)^7, E(40)^7, E(40)^19, E(40)^17, E(40)^13, E(40)^11, -1*E(40)^11, E(40)^7, E(40)^19, E(40)^9, E(40)^3, -1*E(40)^17, E(40)^17, -1*E(40)^10, -1*E(40)^10, E(40)^10, E(40)^10], [1, 1, -1, -1, E(40)^10, -1*E(40)^10, E(40)^10, -1*E(40)^10, -1*E(40)^12, E(40)^8, E(40)^16, -1*E(40)^4, E(40)^5, -1*E(40)^15, E(40)^5, -1*E(40)^5, -1*E(40)^15, -1*E(40)^5, E(40)^15, E(40)^15, E(40)^12, E(40)^16, E(40)^4, E(40)^8, -1*E(40)^16, -1*E(40)^8, -1*E(40)^8, -1*E(40)^16, E(40)^4, -1*E(40)^4, E(40)^12, -1*E(40)^12, 1, -1*E(40)^14, E(40)^18, -1*E(40)^6, -1*E(40)^18, -1*E(40)^14, E(40)^14, -1*E(40)^2, -1*E(40)^2, E(40)^14, E(40)^18, -1*E(40)^6, E(40)^6, E(40)^2, E(40)^6, E(40)^2, -1*E(40)^18, 1, -1, -1, E(40)^9, -1*E(40)^7, -1*E(40)^11, -1*E(40)^17, E(40)^7, E(40)^13, E(40), E(40)^3, -1*E(40)^19, E(40)^11, E(40)^19, E(40)^17, E(40)^19, E(40)^17, -1*E(40)^19, E(40)^11, E(40), -1*E(40)^9, E(40)^7, E(40)^13, -1*E(40)^13, -1*E(40), -1*E(40)^3, -1*E(40)^7, -1*E(40)^9, E(40)^9, -1*E(40)^13, -1*E(40), -1*E(40)^11, -1*E(40)^17, E(40)^3, -1*E(40)^3, E(40)^10, E(40)^10, -1*E(40)^10, -1*E(40)^10], [10, 10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, -1, -1, -1, -1], [10, -10, -10, 10, 10, 10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -1, 1, 1, -1], [10, -10, -10, 10, -10, -10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, -1, -1, 1], [10, 10, 10, 10, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, 1, 1, 1, 1], [10, -10, 10, -10, -10*E(4), 10*E(4), 10*E(4), -10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, E(4), -1*E(4), E(4), -1*E(4)], [10, -10, 10, -10, 10*E(4), -10*E(4), -10*E(4), 10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -1*E(4), E(4), -1*E(4), E(4)], [10, 10, -10, -10, -10*E(4), 10*E(4), -10*E(4), 10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, E(4), E(4), -1*E(4), -1*E(4)], [10, 10, -10, -10, 10*E(4), -10*E(4), 10*E(4), -10*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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, -1*E(4), -1*E(4), E(4), E(4)]]; ConvertToLibraryCharacterTableNC(chartbl_880_12);