# Group 38880.bh downloaded from the LMFDB on 21 July 2026. ## 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 GPerm := Group( (7,14,10,9,15,11,8,13,12), (5,6)(8,9)(10,15)(11,14)(12,13), (7,11,8,12,9,10)(13,15), (10,12,11)(13,14,15), (1,2,3,4,5)(8,9)(10,15)(11,14)(12,13), (7,9,8)(10,12,11) ); # Booleans booleans_38880_bh := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := false, metacyclic := false, monomial := false, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := false, supersolvable := false); # Character Table chartbl_38880_bh:=rec(); chartbl_38880_bh.IsFinite:= true; chartbl_38880_bh.UnderlyingCharacteristic:= 0; chartbl_38880_bh.UnderlyingGroup:= GPerm; chartbl_38880_bh.Size:= 38880; chartbl_38880_bh.InfoText:= "Character table for group 38880.bh downloaded from the LMFDB."; chartbl_38880_bh.Identifier:= " C9:C6*S6 "; chartbl_38880_bh.NrConjugacyClasses:= 110; chartbl_38880_bh.ConjugacyClasses:= [(), (7,15)(8,13)(9,14)(10,11), (5,6), (1,2)(3,4)(5,6), (1,5)(3,4), (5,6)(8,9)(10,15)(11,14)(12,13), (1,2)(3,4)(5,6)(8,9)(10,15)(11,14)(12,13), (1,3)(2,4)(7,14)(8,15)(9,13)(11,12), (7,9,8)(10,11,12)(13,14,15), (10,12,11)(13,14,15), (10,11,12)(13,15,14), (4,6,5), (1,3,5)(2,4,6), (2,5,6)(7,9,8)(10,11,12)(13,14,15), (1,6,5)(2,3,4)(7,8,9)(10,12,11)(13,15,14), (1,5,6)(2,3,4)(7,9,8)(13,15,14), (1,6,5)(2,4,3)(7,8,9)(13,14,15), (2,6,4)(10,11,12)(13,15,14), (2,4,6)(10,12,11)(13,14,15), (1,4,5,3)(2,6), (1,4,2,6), (1,2,3,6)(4,5)(7,9)(10,13)(11,15)(12,14), (1,4,3,6)(7,15)(8,13)(9,14)(10,11), (1,4,2,6,3), (7,14,8,15,9,13)(10,11), (7,13,9,15,8,14)(10,11), (5,6)(7,8,9)(10,12,11)(13,15,14), (1,2)(3,4)(5,6)(7,8,9)(10,12,11)(13,15,14), (5,6)(10,11,12)(13,15,14), (5,6)(10,12,11)(13,14,15), (1,2)(3,4)(5,6)(10,11,12)(13,15,14), (1,2)(3,4)(5,6)(10,12,11)(13,14,15), (1,5)(3,4)(7,8,9)(10,12,11)(13,15,14), (2,3)(4,5,6), (1,2,3,4,5,6), (5,6)(8,9)(10,13,11,15,12,14), (5,6)(8,9)(10,14,12,15,11,13), (1,2)(3,4)(5,6)(8,9)(10,13,11,15,12,14), (1,2)(3,4)(5,6)(8,9)(10,14,12,15,11,13), (1,3)(2,6)(10,12,11)(13,14,15), (1,3)(2,6)(10,11,12)(13,15,14), (1,3)(2,6,5)(7,8,9)(10,12,11)(13,15,14), (1,4,6,2,5,3)(7,9,8)(10,11,12)(13,14,15), (2,5,4)(7,10)(8,11)(9,12)(14,15), (1,4,2)(3,5,6)(7,15)(8,13)(9,14)(10,11), (1,3)(4,5,6)(7,9,8)(10,12,11), (1,3)(4,6,5)(7,8,9)(10,11,12), (1,3,6,4,2,5)(10,12,11)(13,14,15), (1,5,2,4,6,3)(10,11,12)(13,15,14), (1,6,3)(2,5,4)(7,12,8,10,9,11)(14,15), (1,3,6)(2,4,5)(7,11,9,10,8,12)(14,15), (1,5,3)(7,14,8,15,9,13)(10,11), (1,3,5)(7,13,9,15,8,14)(10,11), (1,3)(2,4)(7,13,8,14,9,15)(11,12), (1,3)(2,4)(7,15,9,14,8,13)(11,12), (1,3,5,2,4,6)(7,11)(8,12)(9,10)(13,14), (1,5)(3,4,6)(7,14)(8,15)(9,13)(11,12), (1,3,5,4,6,2)(7,14,9,13,8,15)(10,12), (1,2,6,4,5,3)(7,15,8,13,9,14)(10,12), (1,5)(2,4,6)(7,9)(10,14,11,13,12,15), (1,5)(2,6,4)(7,9)(10,15,12,13,11,14), (7,14,12,9,15,10,8,13,11), (7,13,12,9,14,10,8,15,11), (7,11,15,8,10,14,9,12,13), (1,2,4)(3,6,5)(7,11,13,8,10,15,9,12,14), (1,3,2)(7,13,10,9,14,11,8,15,12), (1,3,6)(2,4,5)(7,12,14,8,11,13,9,10,15), (1,6,3)(2,5,4)(7,15,10,9,13,11,8,14,12), (2,4,3)(7,13,12,9,14,10,8,15,11), (2,3,4)(7,11,15,8,10,14,9,12,13), (1,6,4,3,2)(7,15)(8,13)(9,14)(10,11), (1,3,5,4)(2,6)(7,9,8)(10,11,12)(13,14,15), (1,6,2,4)(7,9,8)(10,11,12)(13,14,15), (1,4,3,5)(2,6)(10,12,11)(13,14,15), (1,5,3,4)(2,6)(10,11,12)(13,15,14), (2,4,3,5)(10,12,11)(13,14,15), (2,5,3,4)(10,11,12)(13,15,14), (1,6,3,2)(4,5)(7,9)(10,15,12,13,11,14), (1,2,3,6)(4,5)(7,9)(10,14,11,13,12,15), (1,6,3,4)(7,13,9,15,8,14)(10,11), (1,4,3,6)(7,14,8,15,9,13)(10,11), (1,3,2,6,4)(7,9,8)(10,11,12)(13,14,15), (1,2,3,4,6)(7,9,8)(13,15,14), (1,6,4,3,2)(7,8,9)(13,14,15), (5,6)(7,10,14,8,12,13,9,11,15), (1,2)(3,4)(5,6)(7,10,14,8,12,13,9,11,15), (5,6)(7,10,13,8,12,15,9,11,14), (5,6)(7,10,15,8,12,14,9,11,13), (1,2)(3,4)(5,6)(7,10,13,8,12,15,9,11,14), (1,2)(3,4)(5,6)(7,10,15,8,12,14,9,11,13), (1,2)(4,6)(7,11,13,8,10,15,9,12,14), (1,5)(3,4)(7,12,13,8,11,15,9,10,14), (1,5)(3,4)(7,14,10,9,15,11,8,13,12), (1,3,2,6,4,5)(7,15,11,9,13,12,8,14,10), (1,2,3)(4,6)(7,11,13,8,10,15,9,12,14), (1,2,3,4,6,5)(7,13,12,9,14,10,8,15,11), (1,5,6,4,3,2)(7,11,15,8,10,14,9,12,13), (2,3,4)(5,6)(7,10,13,8,12,15,9,11,14), (2,4,3)(5,6)(7,14,11,9,15,12,8,13,10), (1,4,2,6,3)(7,13,9,15,8,14)(10,11), (1,3,6,2,4)(7,14,8,15,9,13)(10,11), (1,4,2,6)(7,15,11,9,13,12,8,14,10), (1,6,3,2)(4,5)(7,14,12,9,15,10,8,13,11), (1,4,5,3)(2,6)(7,15,12,9,13,10,8,14,11), (1,3,5,4)(2,6)(7,11,14,8,10,13,9,12,15), (1,3,6,2)(7,11,15,8,10,14,9,12,13), (1,2,6,3)(7,13,12,9,14,10,8,15,11), (1,6,4,3,2)(7,11,13,8,10,15,9,12,14), (1,2,4,3,6)(7,14,10,9,15,11,8,13,12), (1,6,3,4,2)(7,12,13,8,11,15,9,10,14)]; chartbl_38880_bh.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, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110]; chartbl_38880_bh.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 11, 10, 12, 13, 14, 15, 17, 16, 19, 18, 5, 5, 5, 5, 24, 11, 10, 9, 9, 10, 11, 10, 11, 9, 12, 13, 11, 10, 11, 10, 11, 10, 14, 15, 12, 13, 19, 18, 17, 16, 16, 17, 18, 19, 11, 10, 13, 12, 16, 17, 18, 19, 62, 64, 63, 65, 66, 68, 67, 70, 69, 24, 33, 33, 41, 40, 41, 40, 40, 41, 40, 41, 82, 84, 83, 62, 62, 63, 64, 63, 64, 62, 64, 63, 65, 66, 67, 68, 69, 70, 83, 84, 91, 91, 92, 93, 92, 93, 108, 110, 109], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 20, 21, 22, 23, 24, 2, 2, 3, 4, 3, 3, 4, 4, 5, 3, 4, 6, 6, 7, 7, 5, 5, 3, 4, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 8, 8, 7, 6, 7, 7, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 71, 20, 21, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 24, 27, 28, 27, 27, 28, 28, 33, 33, 33, 28, 27, 28, 28, 27, 27, 71, 71, 73, 72, 72, 72, 73, 73, 82, 82, 82], [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 12, 13, 14, 15, 17, 16, 19, 18, 20, 21, 22, 23, 1, 26, 25, 27, 28, 30, 29, 32, 31, 33, 34, 35, 37, 36, 39, 38, 41, 40, 42, 43, 44, 45, 47, 46, 49, 48, 51, 50, 53, 52, 55, 54, 56, 57, 59, 58, 61, 60, 62, 64, 63, 65, 66, 68, 67, 70, 69, 2, 72, 73, 75, 74, 77, 76, 79, 78, 81, 80, 9, 11, 10, 85, 86, 88, 87, 90, 89, 91, 93, 92, 94, 95, 97, 96, 99, 98, 25, 26, 102, 103, 105, 104, 107, 106, 62, 63, 64]]; chartbl_38880_bh.SizesCentralizers:= [38880, 4320, 2592, 2592, 864, 288, 288, 96, 19440, 12960, 12960, 972, 972, 486, 486, 324, 324, 324, 324, 432, 432, 48, 48, 270, 4320, 4320, 1296, 1296, 864, 864, 864, 864, 432, 324, 324, 288, 288, 288, 288, 288, 288, 162, 162, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 96, 96, 36, 36, 36, 36, 36, 36, 6480, 6480, 6480, 162, 162, 162, 162, 162, 162, 30, 216, 216, 144, 144, 144, 144, 48, 48, 48, 48, 135, 90, 90, 432, 432, 432, 432, 432, 432, 144, 144, 144, 54, 54, 54, 54, 54, 54, 30, 30, 72, 72, 72, 72, 72, 72, 45, 45, 45]; chartbl_38880_bh.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "3B1", "3B-1", "3C", "3D", "3E", "3F", "3G1", "3G-1", "3H1", "3H-1", "4A", "4B", "4C", "4D", "5A", "6A1", "6A-1", "6B", "6C", "6D1", "6D-1", "6E1", "6E-1", "6F", "6G", "6H", "6I1", "6I-1", "6J1", "6J-1", "6K1", "6K-1", "6L", "6M", "6N", "6O", "6P1", "6P-1", "6Q1", "6Q-1", "6R1", "6R-1", "6S1", "6S-1", "6T1", "6T-1", "6U", "6V", "6W1", "6W-1", "6X1", "6X-1", "9A", "9B1", "9B-1", "9C", "9D", "9E1", "9E-1", "9F1", "9F-1", "10A", "12A", "12B", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "15A", "15B1", "15B-1", "18A", "18B", "18C1", "18C-1", "18D1", "18D-1", "18E", "18F1", "18F-1", "18G", "18H", "18I1", "18I-1", "18J1", "18J-1", "30A1", "30A-1", "36A", "36B", "36C1", "36C-1", "36D1", "36D-1", "45A", "45B1", "45B-1"]; chartbl_38880_bh.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 30, 30, 36, 36, 36, 36, 36, 36, 45, 45, 45]; chartbl_38880_bh.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, 1, -1, -1, -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(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3)^-1], [1, -1, -1, -1, 1, 1, 1, -1, 1, E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, -1, -1, 1, 1, -1*E(3)^-1, -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 1, -1, -1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), -1, -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, -1, 1, -1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 1, E(3), E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, 1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), 1, E(3)^-1, E(3)], [1, -1, -1, -1, 1, 1, 1, -1, 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, -1, -1, 1, 1, -1*E(3), -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 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0, 0], [10, 0, 6, -2, 2, 0, 0, 0, 10, 10*E(3)^-1, 10*E(3), 4, -2, 4, -2, -2*E(3)^-1, -2*E(3), 4*E(3), 4*E(3)^-1, -2, 2, 0, 0, 0, 0, 0, 6, -2, 6*E(3), 6*E(3)^-1, -2*E(3), -2*E(3)^-1, 2, 0, -2, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), 0, -2, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5*E(3), -5*E(3)^-1, 1, -2, E(3)^-1, E(3), -2*E(3), -2*E(3)^-1, 0, -2, 2, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, -3, 1, -3*E(3)^-1, -3*E(3), E(3)^-1, E(3), -1, -1*E(3), -1*E(3)^-1, 1, 0, E(3), E(3)^-1, 0, 0, 0, 0, -1, 1, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0], [10, 0, 6, -2, 2, 0, 0, 0, 10, 10*E(3), 10*E(3)^-1, 4, -2, 4, -2, -2*E(3), -2*E(3)^-1, 4*E(3)^-1, 4*E(3), -2, 2, 0, 0, 0, 0, 0, 6, -2, 6*E(3)^-1, 6*E(3), -2*E(3)^-1, -2*E(3), 2, 0, -2, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 0, -2, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5*E(3)^-1, -5*E(3), 1, -2, E(3), E(3)^-1, -2*E(3)^-1, -2*E(3), 0, -2, 2, -2*E(3), -2*E(3)^-1, 2*E(3), 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E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2, -2*E(3), -2*E(3)^-1, -1, 1, -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, -2, 2, -2, 2, -2, 2, 10, 10*E(3), 10*E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, -10*E(3), -10*E(3)^-1, -2, 2, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2, 1, -1, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, 1, -1, -1, -1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, 1, -1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, 10, 10*E(3)^-1, 10*E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2, -2*E(3)^-1, -2*E(3), -1, 1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, 2, -2, -2, -2, 2, 2, 10, 10*E(3)^-1, 10*E(3), 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, -10*E(3)^-1, -10*E(3), 2, -2, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2, -1, 1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -1, 1, -1, -1, -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1, 1, -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), 10, 10*E(3), 10*E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2, -2*E(3), -2*E(3)^-1, 1, -1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, -10, 2, -2, -2, -2, 2, 2, 10, 10*E(3), 10*E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, -10*E(3), -10*E(3)^-1, 2, -2, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2, -1, 1, -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -1, 1, -1, -1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1, 1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, 10, 10*E(3)^-1, 10*E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, 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-2*E(3), 2*E(3)^-1, 2*E(3), -2, 1, -1, -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, 1, -1, 1, 1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, -2*E(3), -2*E(3)^-1, -1, 1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, 10, 10*E(3)^-1, 10*E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2, -2*E(3)^-1, -2*E(3), -1, 1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 2, -2, -2, 2, -2, -2, 10, 10*E(3)^-1, 10*E(3), 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 10*E(3)^-1, 10*E(3), 2, -2, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2, -1, 1, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -1, 1, 1, 1, -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), -2*E(3)^-1, -2*E(3), 1, -1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), 10, 10*E(3), 10*E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2, -2*E(3), -2*E(3)^-1, 1, -1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 2, -2, -2, 2, -2, -2, 10, 10*E(3), 10*E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 10*E(3), 10*E(3)^-1, 2, -2, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2, -1, 1, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -1, 1, 1, 1, -1*E(3)^-1, -1*E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, -2*E(3), -2*E(3)^-1, 1, -1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, 10, 10*E(3)^-1, 10*E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2, -2*E(3)^-1, -2*E(3), 1, -1, E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 16, 0, 0, 0, 0, 0, 0, 16, 16, 16, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 1, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 16, 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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], [60, 0, 12, -12, -12, 0, 0, 0, -30, 0, 0, 6, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 6, -6, 6, 0, 0, 0, 0, 0, 0, 3, -3, 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, 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], [96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, -12, -12, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 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_38880_bh);