# Group 400.103 downloaded from the LMFDB on 06 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(19724429764189667215418517856451,400); a := GPC.1; b := GPC.2; c := GPC.4; GPerm := Group( (2,3)(4,5)(7,9)(8,10)(11,12)(13,15)(14,17)(16,18), (12,15)(13,18)(16,17), (11,13,14,18)(12,16,17,15), (11,14)(12,17)(13,18)(15,16), (1,2,4,5,3)(6,7,10,8,9), (6,8,7,9,10) ); # Booleans booleans_400_103 := 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_400_103:=rec(); chartbl_400_103.IsFinite:= true; chartbl_400_103.UnderlyingCharacteristic:= 0; chartbl_400_103.UnderlyingGroup:= GPC; chartbl_400_103.Size:= 400; chartbl_400_103.InfoText:= "Character table for group 400.103 downloaded from the LMFDB."; chartbl_400_103.Identifier:= " C5^2:D8 "; chartbl_400_103.NrConjugacyClasses:= 67; chartbl_400_103.ConjugacyClasses:= [ of ..., f5*f6^2, f2*f3^2, f1*f3*f4*f5*f6^4, f4*f6, f3, f3^2, f3*f6^2, f3^2*f6^4, f3*f6, f3^2*f6^2, f3*f6^3, f3^2*f6, f3*f6^4, f3^2*f6^3, f6^2, f6^4, f1*f2*f6^2, f1*f2*f4*f5, f5, f5*f6, f3^2*f5, f3*f5*f6, f3^4*f5, f3^2*f5*f6, f3*f5, f3^3*f5*f6, f3^3*f5, f3^4*f5*f6, f3^2*f5*f6^2, f3*f5*f6^2, f2, f2*f3^4, f2*f3, f2*f3^3, f2*f6, f2*f4*f6^2, f2*f3*f5, f2*f3^3*f6^2, f2*f5, f2*f4*f6^4, f2*f3*f6^4, f2*f3*f4, f2*f4, f2*f6^4, f2*f3^3*f5, f2*f3*f6^2, f2*f6^2, f2*f4*f5, f2*f3*f6, f2*f3^3*f6^4, f2*f3^2*f6, f2*f3^2*f6^4, f2*f3^2*f5, f2*f3^2*f6^2, f4, f4*f5, f3*f4, f3^3*f4*f5, f3^2*f4, f3*f4*f5, f3^3*f4, f3*f4*f6^4, f3^4*f4, f3^2*f4*f5, f3*f4*f6, f3^2*f4*f6]; chartbl_400_103.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]; chartbl_400_103.ComputedPowerMaps:= [ , [1, 1, 1, 1, 2, 7, 6, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 5, 5, 17, 16, 14, 15, 9, 8, 13, 12, 10, 11, 6, 7, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], [1, 2, 3, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 18, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]]; chartbl_400_103.SizesCentralizers:= [400, 400, 100, 4, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 8, 8, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100]; chartbl_400_103.ClassNames:= ["1A", "2A", "2B", "2C", "4A", "5A1", "5A2", "5B1", "5B2", "5C1", "5C2", "5D1", "5D2", "5E1", "5E2", "5F1", "5F2", "8A1", "8A3", "10A1", "10A3", "10B1", "10B3", "10C1", "10C3", "10D1", "10D3", "10E1", "10E3", "10F1", "10F3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "10K1", "10K-1", "10K3", "10K-3", "10L1", "10L-1", "10L3", "10L-3", "20A1", "20A3", "20B1", "20B3", "20C1", "20C3", "20D1", "20D3", "20E1", "20E3", "20F1", "20F3"]; chartbl_400_103.OrderClassRepresentatives:= [1, 2, 2, 2, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20]; chartbl_400_103.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], [2, 2, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], [2, 2, 2, 0, 2, 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)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, 0, 0, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 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)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2], [2, 2, 2, 0, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+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, 2, 2, 0, 0, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 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)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+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, 2], [2, 2, 2, 0, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 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)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2], [2, 2, 2, 0, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+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)+E(5)^-1, 2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, 2, E(5)^2+E(5)^-2, 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)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [2, 2, 2, 0, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+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, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1], [2, 2, 2, 0, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, E(5)+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)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, 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)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2], [2, 2, 2, 0, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 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)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [2, 2, 2, 0, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 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E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, 2, E(5)^2+E(5)^-2], [2, 2, 2, 0, 2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 2, E(5)+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)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 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)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 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)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, E(5)+E(5)^-1], [2, 2, 2, 0, 2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, 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)+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)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2], [2, 2, 2, 0, 2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1], [2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1*E(8)-E(8)^-1, E(8)+E(8)^-1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, E(8)+E(8)^-1, -1*E(8)-E(8)^-1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 0, 2, 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)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, 2, 0, 0, E(5)+E(5)^-1, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2], [2, 2, -2, 0, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+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, 2, 2, 0, 0, E(5)^2+E(5)^-2, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, E(5)+E(5)^-1, 2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+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, 2], [2, 2, -2, 0, 2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)+E(5)^-1, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 4, 4, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)-2*E(5)^-1, -4, -2*E(5)-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 4, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -4, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)^2-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)-2*E(5)^-1, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -4, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -4, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -4, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 2*E(5)+2*E(5)^-1, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 0, 0, -4, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 4, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 0, 0, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -4, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 4, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 0, 0, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -4, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -4, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_400_103);