# Group 280.33 downloaded from the LMFDB on 29 December 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(75681823742907987,280); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; GPerm := Group( (9,10,11,12,13), (2,3,4,6,8,5,7), (1,2)(3,5)(4,6)(7,8), (1,3)(2,5)(4,7)(6,8), (1,4)(2,6)(3,7)(5,8) ); # Booleans booleans_280_33 := rec( Agroup := true, 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 := false); # Character Table chartbl_280_33:=rec(); chartbl_280_33.IsFinite:= true; chartbl_280_33.UnderlyingCharacteristic:= 0; chartbl_280_33.UnderlyingGroup:= GPC; chartbl_280_33.Size:= 280; chartbl_280_33.InfoText:= "Character table for group 280.33 downloaded from the LMFDB."; chartbl_280_33.Identifier:= " C5*F8 "; chartbl_280_33.NrConjugacyClasses:= 40; chartbl_280_33.ConjugacyClasses:= [ of ..., f4*f5^2, f5, f5^4, f5^2, f5^3, f1^5, f1^2, f1^3, f1^4, f1, f1^6, f4, f3*f5^2, f4*f5, f3*f5, f1*f5, f1^6*f5^4, f1^2*f5^2, f1^5*f4, f1^3*f4, f1^4*f5^2, f1^4*f5^4, f1^3*f5, f1^6*f5, f1*f5^4, f1*f4, f1^6*f5^2, f1^2*f5^4, f1^5*f5, f1^4*f5, f1^3*f5^4, f1^5*f5^2, f1^2*f4, f1^6*f4, f1*f5^2, f1^2*f5, f1^5*f5^4, f1^3*f5^2, f1^4*f4]; chartbl_280_33.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]; chartbl_280_33.ComputedPowerMaps:= [ , [1, 1, 5, 6, 4, 3, 9, 10, 12, 11, 8, 7, 3, 4, 6, 5, 19, 20, 23, 24, 25, 26, 27, 28, 33, 34, 37, 38, 40, 39, 36, 35, 32, 31, 30, 29, 22, 21, 18, 17], [1, 2, 6, 5, 3, 4, 11, 12, 8, 7, 9, 10, 15, 16, 14, 13, 21, 22, 25, 26, 29, 30, 33, 34, 40, 39, 32, 31, 28, 27, 20, 19, 17, 18, 23, 24, 35, 36, 37, 38], [1, 2, 1, 1, 1, 1, 10, 9, 11, 12, 7, 8, 2, 2, 2, 2, 7, 8, 9, 10, 11, 12, 12, 11, 8, 7, 7, 8, 9, 10, 12, 11, 10, 9, 8, 7, 9, 10, 11, 12]]; chartbl_280_33.SizesCentralizers:= [280, 40, 280, 280, 280, 280, 35, 35, 35, 35, 35, 35, 40, 40, 40, 40, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35]; chartbl_280_33.ClassNames:= ["1A", "2A", "5A1", "5A-1", "5A2", "5A-2", "7A1", "7A-1", "7A2", "7A-2", "7A3", "7A-3", "10A1", "10A-1", "10A3", "10A-3", "35A1", "35A-1", "35A2", "35A-2", "35A3", "35A-3", "35A4", "35A-4", "35A6", "35A-6", "35A8", "35A-8", "35A9", "35A-9", "35A11", "35A-11", "35A12", "35A-12", "35A13", "35A-13", "35A16", "35A-16", "35A17", "35A-17"]; chartbl_280_33.OrderClassRepresentatives:= [1, 2, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 10, 10, 10, 10, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35]; chartbl_280_33.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, E(5)^-2, E(5)^2, E(5), E(5)^-1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^2, E(5), E(5), E(5), E(5), E(5), E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5)^-2, E(5)^-1, E(5)^2, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1], [1, 1, E(5)^2, E(5)^-2, E(5)^-1, E(5), 1, 1, 1, 1, 1, 1, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^-2, E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^-2, E(5)^-2, E(5)^2, E(5), E(5)^-2, E(5)^2, E(5), E(5)^2, E(5), E(5), E(5)^2, E(5), E(5)^2, E(5)], [1, 1, E(5)^-1, E(5), E(5)^-2, E(5)^2, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5), E(5)^-2, E(5)^-2, E(5)^-2, E(5)^-2, E(5)^-2, E(5)^-2, E(5)^-1, E(5), E(5), E(5), E(5), E(5)^-1, E(5)^2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^2, E(5)^2, E(5)^-1, E(5)^2, E(5)^-1, E(5)^2], [1, 1, E(5), E(5)^-1, E(5)^2, E(5)^-2, 1, 1, 1, 1, 1, 1, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^-1, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5)^-1, E(5)^-1, E(5), E(5)^-2, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^-2, E(5)^-2, E(5), E(5)^-2, E(5), E(5)^-2], [1, 1, 1, 1, 1, 1, E(7)^-3, E(7), E(7)^-1, E(7)^2, E(7)^-2, E(7)^3, 1, 1, 1, 1, E(7)^-3, E(7), E(7)^-1, E(7)^2, E(7)^-3, E(7)^-2, E(7)^3, E(7)^-3, E(7)^-1, E(7)^2, E(7), E(7)^-2, E(7)^3, E(7)^-2, E(7)^3, E(7)^2, E(7)^-1, E(7), E(7)^3, E(7)^-3, E(7)^-2, E(7)^2, E(7)^-1, E(7)], [1, 1, 1, 1, 1, 1, E(7)^3, E(7)^-1, E(7), E(7)^-2, E(7)^2, E(7)^-3, 1, 1, 1, 1, E(7)^3, E(7)^-1, E(7), E(7)^-2, E(7)^3, E(7)^2, E(7)^-3, E(7)^3, E(7), E(7)^-2, E(7)^-1, E(7)^2, E(7)^-3, E(7)^2, E(7)^-3, E(7)^-2, E(7), E(7)^-1, E(7)^-3, E(7)^3, E(7)^2, E(7)^-2, E(7), E(7)^-1], [1, 1, 1, 1, 1, 1, E(7)^-2, E(7)^3, E(7)^-3, E(7)^-1, E(7), E(7)^2, 1, 1, 1, 1, E(7)^-2, E(7)^3, E(7)^-3, E(7)^-1, E(7)^-2, E(7), E(7)^2, E(7)^-2, E(7)^-3, E(7)^-1, E(7)^3, E(7), E(7)^2, E(7), E(7)^2, E(7)^-1, E(7)^-3, E(7)^3, E(7)^2, E(7)^-2, E(7), E(7)^-1, E(7)^-3, E(7)^3], [1, 1, 1, 1, 1, 1, E(7)^2, E(7)^-3, E(7)^3, E(7), E(7)^-1, E(7)^-2, 1, 1, 1, 1, E(7)^2, E(7)^-3, E(7)^3, E(7), E(7)^2, E(7)^-1, E(7)^-2, E(7)^2, E(7)^3, E(7), E(7)^-3, E(7)^-1, E(7)^-2, E(7)^-1, E(7)^-2, E(7), E(7)^3, E(7)^-3, E(7)^-2, E(7)^2, E(7)^-1, E(7), E(7)^3, E(7)^-3], [1, 1, 1, 1, 1, 1, E(7)^-1, E(7)^-2, E(7)^2, E(7)^3, E(7)^-3, E(7), 1, 1, 1, 1, E(7)^-1, E(7)^-2, E(7)^2, E(7)^3, E(7)^-1, E(7)^-3, E(7), E(7)^-1, E(7)^2, E(7)^3, E(7)^-2, E(7)^-3, E(7), E(7)^-3, E(7), E(7)^3, E(7)^2, E(7)^-2, E(7), E(7)^-1, E(7)^-3, E(7)^3, E(7)^2, E(7)^-2], [1, 1, 1, 1, 1, 1, E(7), E(7)^2, E(7)^-2, E(7)^-3, E(7)^3, E(7)^-1, 1, 1, 1, 1, E(7), E(7)^2, E(7)^-2, E(7)^-3, E(7), E(7)^3, E(7)^-1, E(7), E(7)^-2, E(7)^-3, E(7)^2, E(7)^3, E(7)^-1, E(7)^3, E(7)^-1, E(7)^-3, E(7)^-2, E(7)^2, E(7)^-1, E(7), E(7)^3, E(7)^-3, E(7)^-2, E(7)^2], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^-15, E(35)^5, E(35)^-5, E(35)^10, E(35)^-10, E(35)^15, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^-1, E(35)^12, E(35)^2, E(35)^17, E(35)^-8, E(35)^-3, E(35)^-13, E(35)^6, E(35)^9, E(35)^-11, E(35)^-16, E(35)^4, E(35), E(35)^-17, E(35)^-6, E(35)^-4, E(35)^-12, E(35)^-9, E(35)^8, E(35)^13, E(35)^11, E(35)^3, E(35)^16, E(35)^-2], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^15, E(35)^-5, E(35)^5, E(35)^-10, E(35)^10, E(35)^-15, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35), E(35)^-12, E(35)^-2, E(35)^-17, E(35)^8, E(35)^3, E(35)^13, E(35)^-6, E(35)^-9, E(35)^11, E(35)^16, E(35)^-4, E(35)^-1, E(35)^17, E(35)^6, E(35)^4, E(35)^12, E(35)^9, E(35)^-8, E(35)^-13, E(35)^-11, E(35)^-3, E(35)^-16, E(35)^2], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^15, E(35)^-5, E(35)^5, E(35)^-10, E(35)^10, E(35)^-15, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^-6, E(35)^2, E(35)^12, E(35)^-3, E(35)^-13, E(35)^17, E(35)^-8, E(35), E(35)^-16, E(35)^4, E(35)^9, E(35)^-11, E(35)^6, E(35)^3, E(35)^-1, E(35)^11, E(35)^-2, E(35)^16, E(35)^13, E(35)^8, E(35)^-4, E(35)^-17, E(35)^-9, E(35)^-12], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^-15, E(35)^5, E(35)^-5, E(35)^10, E(35)^-10, E(35)^15, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35)^6, E(35)^-2, E(35)^-12, E(35)^3, E(35)^13, E(35)^-17, E(35)^8, E(35)^-1, E(35)^16, E(35)^-4, E(35)^-9, E(35)^11, E(35)^-6, E(35)^-3, E(35), E(35)^-11, E(35)^2, E(35)^-16, E(35)^-13, E(35)^-8, E(35)^4, E(35)^17, E(35)^9, E(35)^12], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^-10, E(35)^15, E(35)^-15, E(35)^-5, E(35)^5, E(35)^10, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^4, E(35)^-13, E(35)^-8, E(35)^2, E(35)^-3, E(35)^12, E(35)^17, E(35)^11, E(35)^-1, E(35)^9, E(35)^-6, E(35)^-16, E(35)^-4, E(35)^-2, E(35)^-11, E(35)^16, E(35)^13, E(35), E(35)^3, E(35)^-17, E(35)^-9, E(35)^-12, E(35)^6, E(35)^8], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^10, E(35)^-15, E(35)^15, E(35)^5, E(35)^-5, E(35)^-10, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35)^-4, E(35)^13, E(35)^8, E(35)^-2, E(35)^3, E(35)^-12, E(35)^-17, E(35)^-11, E(35), E(35)^-9, E(35)^6, E(35)^16, E(35)^4, E(35)^2, E(35)^11, E(35)^-16, E(35)^-13, E(35)^-1, E(35)^-3, E(35)^17, E(35)^9, E(35)^12, E(35)^-6, E(35)^-8], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^10, E(35)^-15, E(35)^15, E(35)^5, E(35)^-5, E(35)^-10, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^-11, E(35)^-8, E(35)^-13, E(35)^12, E(35)^17, E(35)^2, E(35)^-3, E(35)^-4, E(35)^-6, E(35)^-16, E(35)^-1, E(35)^9, E(35)^11, E(35)^-12, E(35)^4, E(35)^-9, E(35)^8, E(35)^6, E(35)^-17, E(35)^3, E(35)^16, E(35)^-2, E(35), E(35)^13], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^-10, E(35)^15, E(35)^-15, E(35)^-5, E(35)^5, E(35)^10, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35)^11, E(35)^8, E(35)^13, E(35)^-12, E(35)^-17, E(35)^-2, E(35)^3, E(35)^4, E(35)^6, E(35)^16, E(35), E(35)^-9, E(35)^-11, E(35)^12, E(35)^-4, E(35)^9, E(35)^-8, E(35)^-6, E(35)^17, E(35)^-3, E(35)^-16, E(35)^2, E(35)^-1, E(35)^-13], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^-5, E(35)^-10, E(35)^10, E(35)^15, E(35)^-15, E(35)^5, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^9, E(35)^-3, E(35)^17, E(35)^-13, E(35)^2, E(35)^-8, E(35)^12, E(35)^16, E(35)^-11, E(35)^-6, E(35)^4, E(35)^-1, E(35)^-9, E(35)^13, E(35)^-16, E(35), E(35)^3, E(35)^11, E(35)^-2, E(35)^-12, E(35)^6, E(35)^8, E(35)^-4, E(35)^-17], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^5, E(35)^10, E(35)^-10, E(35)^-15, E(35)^15, E(35)^-5, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35)^-9, E(35)^3, E(35)^-17, E(35)^13, E(35)^-2, E(35)^8, E(35)^-12, E(35)^-16, E(35)^11, E(35)^6, E(35)^-4, E(35), E(35)^9, E(35)^-13, E(35)^16, E(35)^-1, E(35)^-3, E(35)^-11, E(35)^2, E(35)^12, E(35)^-6, E(35)^-8, E(35)^4, E(35)^17], [1, 1, E(35)^-14, E(35)^14, E(35)^7, E(35)^-7, E(35)^5, E(35)^10, E(35)^-10, E(35)^-15, E(35)^15, E(35)^-5, E(35)^-14, E(35)^-7, E(35)^14, E(35)^7, E(35)^-16, E(35)^17, E(35)^-3, E(35)^-8, E(35)^12, E(35)^-13, E(35)^2, E(35)^-9, E(35)^4, E(35)^-1, E(35)^-11, E(35)^-6, E(35)^16, E(35)^8, E(35)^9, E(35)^6, E(35)^-17, E(35)^-4, E(35)^-12, E(35)^-2, E(35), E(35)^13, E(35)^11, E(35)^3], [1, 1, E(35)^14, E(35)^-14, E(35)^-7, E(35)^7, E(35)^-5, E(35)^-10, E(35)^10, E(35)^15, E(35)^-15, E(35)^5, E(35)^14, E(35)^7, E(35)^-14, E(35)^-7, E(35)^16, E(35)^-17, E(35)^3, E(35)^8, E(35)^-12, E(35)^13, E(35)^-2, E(35)^9, E(35)^-4, E(35), E(35)^11, E(35)^6, E(35)^-16, E(35)^-8, E(35)^-9, E(35)^-6, E(35)^17, E(35)^4, E(35)^12, E(35)^2, E(35)^-1, E(35)^-13, E(35)^-11, E(35)^-3], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^-15, E(35)^5, E(35)^-5, E(35)^10, E(35)^-10, E(35)^15, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^-8, E(35)^-9, E(35)^16, E(35)^-4, E(35)^6, E(35)^11, E(35), E(35)^13, E(35)^2, E(35)^17, E(35)^12, E(35)^-3, E(35)^8, E(35)^4, E(35)^-13, E(35)^3, E(35)^9, E(35)^-2, E(35)^-6, E(35)^-1, E(35)^-17, E(35)^-11, E(35)^-12, E(35)^-16], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^15, E(35)^-5, E(35)^5, E(35)^-10, E(35)^10, E(35)^-15, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^8, E(35)^9, E(35)^-16, E(35)^4, E(35)^-6, E(35)^-11, E(35)^-1, E(35)^-13, E(35)^-2, E(35)^-17, E(35)^-12, E(35)^3, E(35)^-8, E(35)^-4, E(35)^13, E(35)^-3, E(35)^-9, E(35)^2, E(35)^6, E(35), E(35)^17, E(35)^11, E(35)^12, E(35)^16], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^15, E(35)^-5, E(35)^5, E(35)^-10, E(35)^10, E(35)^-15, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^-13, E(35)^16, E(35)^-9, E(35)^11, E(35), E(35)^-4, E(35)^6, E(35)^8, E(35)^12, E(35)^-3, E(35)^2, E(35)^17, E(35)^13, E(35)^-11, E(35)^-8, E(35)^-17, E(35)^-16, E(35)^-12, E(35)^-1, E(35)^-6, E(35)^3, E(35)^4, E(35)^-2, E(35)^9], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^-15, E(35)^5, E(35)^-5, E(35)^10, E(35)^-10, E(35)^15, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^13, E(35)^-16, E(35)^9, E(35)^-11, E(35)^-1, E(35)^4, E(35)^-6, E(35)^-8, E(35)^-12, E(35)^3, E(35)^-2, E(35)^-17, E(35)^-13, E(35)^11, E(35)^8, E(35)^17, E(35)^16, E(35)^12, E(35), E(35)^6, E(35)^-3, E(35)^-4, E(35)^2, E(35)^-9], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^-10, E(35)^15, E(35)^-15, E(35)^-5, E(35)^5, E(35)^10, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^-3, E(35), E(35)^6, E(35)^16, E(35)^11, E(35)^-9, E(35)^-4, E(35)^-17, E(35)^-8, E(35)^2, E(35)^-13, E(35)^12, E(35)^3, E(35)^-16, E(35)^17, E(35)^-12, E(35)^-1, E(35)^8, E(35)^-11, E(35)^4, E(35)^-2, E(35)^9, E(35)^13, E(35)^-6], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^10, E(35)^-15, E(35)^15, E(35)^5, E(35)^-5, E(35)^-10, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^3, E(35)^-1, E(35)^-6, E(35)^-16, E(35)^-11, E(35)^9, E(35)^4, E(35)^17, E(35)^8, E(35)^-2, E(35)^13, E(35)^-12, E(35)^-3, E(35)^16, E(35)^-17, E(35)^12, E(35), E(35)^-8, E(35)^11, E(35)^-4, E(35)^2, E(35)^-9, E(35)^-13, E(35)^6], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^10, E(35)^-15, E(35)^15, E(35)^5, E(35)^-5, E(35)^-10, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^17, E(35)^6, E(35), E(35)^-9, E(35)^-4, E(35)^16, E(35)^11, E(35)^3, E(35)^-13, E(35)^12, E(35)^-8, E(35)^2, E(35)^-17, E(35)^9, E(35)^-3, E(35)^-2, E(35)^-6, E(35)^13, E(35)^4, E(35)^-11, E(35)^-12, E(35)^-16, E(35)^8, E(35)^-1], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^-10, E(35)^15, E(35)^-15, E(35)^-5, E(35)^5, E(35)^10, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^-17, E(35)^-6, E(35)^-1, E(35)^9, E(35)^4, E(35)^-16, E(35)^-11, E(35)^-3, E(35)^13, E(35)^-12, E(35)^8, E(35)^-2, E(35)^17, E(35)^-9, E(35)^3, E(35)^2, E(35)^6, E(35)^-13, E(35)^-4, E(35)^11, E(35)^12, E(35)^16, E(35)^-8, E(35)], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^-5, E(35)^-10, E(35)^10, E(35)^15, E(35)^-15, E(35)^5, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^2, E(35)^11, E(35)^-4, E(35), E(35)^16, E(35)^6, E(35)^-9, E(35)^-12, E(35)^17, E(35)^-13, E(35)^-3, E(35)^-8, E(35)^-2, E(35)^-1, E(35)^12, E(35)^8, E(35)^-11, E(35)^-17, E(35)^-16, E(35)^9, E(35)^13, E(35)^-6, E(35)^3, E(35)^4], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^5, E(35)^10, E(35)^-10, E(35)^-15, E(35)^15, E(35)^-5, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^-2, E(35)^-11, E(35)^4, E(35)^-1, E(35)^-16, E(35)^-6, E(35)^9, E(35)^12, E(35)^-17, E(35)^13, E(35)^3, E(35)^8, E(35)^2, E(35), E(35)^-12, E(35)^-8, E(35)^11, E(35)^17, E(35)^16, E(35)^-9, E(35)^-13, E(35)^6, E(35)^-3, E(35)^-4], [1, 1, E(35)^-7, E(35)^7, E(35)^-14, E(35)^14, E(35)^5, E(35)^10, E(35)^-10, E(35)^-15, E(35)^15, E(35)^-5, E(35)^-7, E(35)^14, E(35)^7, E(35)^-14, E(35)^12, E(35)^-4, E(35)^11, E(35)^6, E(35)^-9, E(35), E(35)^16, E(35)^-2, E(35)^-3, E(35)^-8, E(35)^17, E(35)^-13, E(35)^-12, E(35)^-6, E(35)^2, E(35)^13, E(35)^4, E(35)^3, E(35)^9, E(35)^-16, E(35)^8, E(35)^-1, E(35)^-17, E(35)^-11], [1, 1, E(35)^7, E(35)^-7, E(35)^14, E(35)^-14, E(35)^-5, E(35)^-10, E(35)^10, E(35)^15, E(35)^-15, E(35)^5, E(35)^7, E(35)^-14, E(35)^-7, E(35)^14, E(35)^-12, E(35)^4, E(35)^-11, E(35)^-6, E(35)^9, E(35)^-1, E(35)^-16, E(35)^2, E(35)^3, E(35)^8, E(35)^-17, E(35)^13, E(35)^12, E(35)^6, E(35)^-2, E(35)^-13, E(35)^-4, E(35)^-3, E(35)^-9, E(35)^16, E(35)^-8, E(35), E(35)^17, E(35)^11], [7, -1, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, -1, -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], [7, -1, 7*E(5)^-2, 7*E(5)^2, 7*E(5), 7*E(5)^-1, 0, 0, 0, 0, 0, 0, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -1, 7*E(5)^2, 7*E(5)^-2, 7*E(5)^-1, 7*E(5), 0, 0, 0, 0, 0, 0, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-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], [7, -1, 7*E(5)^-1, 7*E(5), 7*E(5)^-2, 7*E(5)^2, 0, 0, 0, 0, 0, 0, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -1, 7*E(5), 7*E(5)^-1, 7*E(5)^2, 7*E(5)^-2, 0, 0, 0, 0, 0, 0, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_280_33);