# Group 336.192 downloaded from the LMFDB on 28 October 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(5645272253128430355083,336); a := GPC.1; b := GPC.2; c := GPC.4; GPerm := Group( (8,9,10,11)(13,14)(15,16)(17,18), (15,17)(16,18), (15,16)(17,18), (1,2,3,4,5,6,7), (8,10)(9,11), (12,13,14) ); GLZN := Group([[[ZmodnZObj(36,56), ZmodnZObj(49,56)], [ZmodnZObj(35,56), ZmodnZObj(43,56)]],[[ZmodnZObj(34,56), ZmodnZObj(7,56)], [ZmodnZObj(49,56), ZmodnZObj(6,56)]],[[ZmodnZObj(29,56), ZmodnZObj(0,56)], [ZmodnZObj(0,56), ZmodnZObj(29,56)]],[[ZmodnZObj(27,56), ZmodnZObj(0,56)], [ZmodnZObj(0,56), ZmodnZObj(27,56)]],[[ZmodnZObj(41,56), ZmodnZObj(0,56)], [ZmodnZObj(0,56), ZmodnZObj(41,56)]],[[ZmodnZObj(1,56), ZmodnZObj(8,56)], [ZmodnZObj(0,56), ZmodnZObj(1,56)]]]); # Booleans booleans_336_192 := 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 := true); # Character Table chartbl_336_192:=rec(); chartbl_336_192.IsFinite:= true; chartbl_336_192.UnderlyingCharacteristic:= 0; chartbl_336_192.UnderlyingGroup:= GPC; chartbl_336_192.Size:= 336; chartbl_336_192.InfoText:= "Character table for group 336.192 downloaded from the LMFDB."; chartbl_336_192.Identifier:= " C42.C2^3 "; chartbl_336_192.NrConjugacyClasses:= 168; chartbl_336_192.ConjugacyClasses:= [ of ..., f3, f4*f5*f6^3, f3*f4*f5*f6^3, f1, f1*f4*f5*f6^3, f1*f3, f1*f3*f4*f5*f6^3, f5*f6^2, f2*f3, f2, f2*f3*f4*f6, f2*f4*f6, f1*f2*f3, f1*f2, f1*f2*f3*f4*f6, f1*f2*f4*f6, f4*f6, f3*f5*f6^2, f3*f4*f6, f1*f5*f6^2, f1*f4*f6, f1*f3*f5*f6^2, f1*f3*f4*f6, f6^4, f6^3, f6, f6^6, f6^5, f6^2, f3*f6^2, f3*f6^5, f3*f6^6, f3*f6, f3*f6^3, f3*f6^4, f4*f5, f4*f5*f6^6, f4*f5*f6, f4*f5*f6^5, f4*f5*f6^2, f4*f5*f6^4, f3*f4*f5, f3*f4*f5*f6^6, f3*f4*f5*f6, f3*f4*f5*f6^5, f3*f4*f5*f6^2, f3*f4*f5*f6^4, f1*f6, f1*f6^6, f1*f6^3, f1*f6^4, f1*f6^5, f1*f6^2, f1*f4*f5, f1*f4*f5*f6^6, f1*f4*f5*f6, f1*f4*f5*f6^5, f1*f4*f5*f6^2, f1*f4*f5*f6^4, f1*f3*f6, f1*f3*f6^6, f1*f3*f6^3, f1*f3*f6^4, f1*f3*f6^5, f1*f3*f6^2, f1*f3*f4*f5, f1*f3*f4*f5*f6^6, f1*f3*f4*f5*f6, f1*f3*f4*f5*f6^5, f1*f3*f4*f5*f6^2, f1*f3*f4*f5*f6^4, f5, f5^2*f6^6, f5^2, f5*f6^6, f5*f6, f5^2*f6^5, f2*f6, f2*f3*f6^6, f2*f3*f5^2, f2*f6^4, f2*f5, f2*f3*f6^2, f2*f6^2, f2*f3*f5, f2*f3*f6^4, f2*f5^2, f2*f6^6, f2*f3*f6, f2*f4, f2*f3*f4*f6^2, f2*f3*f4*f5, f2*f4*f6^4, f2*f4*f5^2, f2*f3*f4*f6^6, f2*f4*f6^6, f2*f3*f4*f5^2, f2*f3*f4*f6^4, f2*f4*f5, f2*f4*f6^2, f2*f3*f4, f1*f2*f6, f1*f2*f3*f6^6, f1*f2*f3*f5^2, f1*f2*f6^4, f1*f2*f5, f1*f2*f3*f6^2, f1*f2*f6^2, f1*f2*f3*f5, f1*f2*f3*f6^4, f1*f2*f5^2, f1*f2*f6^6, f1*f2*f3*f6, f1*f2*f4, f1*f2*f3*f4*f6^2, f1*f2*f3*f4*f5, f1*f2*f4*f6^4, f1*f2*f4*f5^2, f1*f2*f3*f4*f6^6, f1*f2*f4*f6^6, f1*f2*f3*f4*f5^2, f1*f2*f3*f4*f6^4, f1*f2*f4*f5, f1*f2*f4*f6^2, f1*f2*f3*f4, f4, f4*f6^2, f4*f5^2, f4*f6^6, f4*f6^4, f4*f6^5, f3*f5, f3*f5*f6^4, f3*f5^2*f6, f3*f5^2, f3*f5*f6, f3*f5*f6^3, f3*f4, f3*f4*f6^2, f3*f4*f5^2, f3*f4*f6^6, f3*f4*f6^4, f3*f4*f6^5, f1*f5, f1*f5*f6^4, f1*f5^2*f6, f1*f5^2, f1*f5*f6, f1*f5*f6^3, f1*f4, f1*f4*f6^2, f1*f4*f5^2, f1*f4*f6^6, f1*f4*f6^4, f1*f4*f6^5, f1*f3*f5, f1*f3*f5*f6^4, f1*f3*f5^2*f6, f1*f3*f5^2, f1*f3*f5*f6, f1*f3*f5*f6^3, f1*f3*f4, f1*f3*f4*f6^2, f1*f3*f4*f5^2, f1*f3*f4*f6^6, f1*f3*f4*f6^4, f1*f3*f4*f6^5]; chartbl_336_192.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, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168]; chartbl_336_192.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 27, 28, 30, 29, 26, 25, 25, 26, 29, 30, 28, 27, 27, 28, 26, 25, 29, 30, 27, 28, 26, 25, 29, 30, 30, 29, 28, 27, 26, 25, 27, 28, 26, 25, 29, 30, 30, 29, 28, 27, 26, 25, 27, 28, 26, 25, 29, 30, 75, 76, 77, 78, 73, 74, 31, 32, 33, 34, 35, 36, 36, 35, 34, 33, 32, 31, 32, 31, 34, 33, 36, 35, 35, 36, 33, 34, 31, 32, 31, 32, 33, 34, 35, 36, 36, 35, 34, 33, 32, 31, 32, 31, 34, 33, 36, 35, 35, 36, 33, 34, 31, 32, 73, 74, 76, 75, 77, 78, 75, 76, 78, 77, 73, 74, 73, 74, 76, 75, 77, 78, 75, 76, 78, 77, 73, 74, 73, 74, 76, 75, 77, 78, 75, 76, 78, 77, 73, 74, 73, 74, 76, 75, 77, 78], [1, 2, 3, 4, 5, 6, 7, 8, 1, 11, 10, 13, 12, 15, 14, 17, 16, 3, 2, 4, 5, 6, 7, 8, 29, 30, 26, 25, 27, 28, 33, 34, 36, 35, 31, 32, 39, 40, 42, 41, 37, 38, 45, 46, 48, 47, 43, 44, 51, 52, 54, 53, 49, 50, 57, 58, 60, 59, 55, 56, 63, 64, 66, 65, 61, 62, 69, 70, 72, 71, 67, 68, 27, 28, 30, 29, 25, 26, 81, 82, 85, 86, 90, 89, 80, 79, 83, 84, 87, 88, 93, 94, 97, 98, 102, 101, 92, 91, 95, 96, 99, 100, 105, 106, 109, 110, 114, 113, 104, 103, 107, 108, 111, 112, 117, 118, 121, 122, 126, 125, 116, 115, 119, 120, 123, 124, 37, 38, 41, 42, 40, 39, 34, 33, 32, 31, 36, 35, 43, 44, 47, 48, 46, 45, 49, 50, 53, 54, 52, 51, 55, 56, 59, 60, 58, 57, 61, 62, 65, 66, 64, 63, 67, 68, 71, 72, 70, 69], [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 13, 12, 15, 14, 17, 16, 18, 19, 20, 21, 22, 23, 24, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 11, 11, 10, 10, 11, 10, 11, 11, 10, 10, 11, 12, 13, 13, 12, 12, 13, 12, 13, 13, 12, 12, 13, 14, 15, 15, 14, 14, 15, 14, 15, 15, 14, 14, 15, 16, 17, 17, 16, 16, 17, 16, 17, 17, 16, 16, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24]]; chartbl_336_192.SizesCentralizers:= [336, 336, 336, 336, 336, 336, 336, 336, 168, 112, 112, 112, 112, 112, 112, 112, 112, 168, 168, 168, 168, 168, 168, 168, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 168, 168, 168, 168, 168, 168, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168]; chartbl_336_192.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "4A1", "4A-1", "4B1", "4B-1", "4C1", "4C-1", "4D1", "4D-1", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "7A1", "7A-1", "7A2", "7A-2", "7A3", "7A-3", "14A1", "14A-1", "14A3", "14A-3", "14A5", "14A-5", "14B1", "14B-1", "14B3", "14B-3", "14B5", "14B-5", "14C1", "14C-1", "14C3", "14C-3", "14C5", "14C-5", "14D1", "14D-1", "14D3", "14D-3", "14D5", "14D-5", "14E1", "14E-1", "14E3", "14E-3", "14E5", "14E-5", "14F1", "14F-1", "14F3", "14F-3", "14F5", "14F-5", "14G1", "14G-1", "14G3", "14G-3", "14G5", "14G-5", "21A1", "21A-1", "21A2", "21A-2", "21A4", "21A-4", "28A1", "28A-1", "28A3", "28A-3", "28A5", "28A-5", "28A9", "28A-9", "28A11", "28A-11", "28A13", "28A-13", "28B1", "28B-1", "28B3", "28B-3", "28B5", "28B-5", "28B9", "28B-9", "28B11", "28B-11", "28B13", "28B-13", "28C1", "28C-1", "28C3", "28C-3", "28C5", "28C-5", "28C9", "28C-9", "28C11", "28C-11", "28C13", "28C-13", "28D1", "28D-1", "28D3", "28D-3", "28D5", "28D-5", "28D9", "28D-9", "28D11", "28D-11", "28D13", "28D-13", "42A1", "42A-1", "42A5", "42A-5", "42A11", "42A-11", "42B1", "42B-1", "42B5", "42B-5", "42B11", "42B-11", "42C1", "42C-1", "42C5", "42C-5", "42C11", "42C-11", "42D1", "42D-1", "42D5", "42D-5", "42D11", "42D-11", "42E1", "42E-1", "42E5", "42E-5", "42E11", "42E-11", "42F1", "42F-1", "42F5", "42F-5", "42F11", "42F-11", "42G1", "42G-1", "42G5", "42G-5", "42G11", "42G-11"]; chartbl_336_192.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 21, 21, 21, 21, 21, 21, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42]; chartbl_336_192.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, 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2*E(7), 2*E(7)^2, -2*E(7)^-1, 2*E(7)^3, 2*E(7)^-1, 2*E(7)^-3, -2*E(7)^-1, -2*E(7)^2, -2*E(7)^-2, -2*E(7)^-1, -2*E(7)^-2, 2*E(7)^2, -2*E(7), -2*E(7)^2, -2*E(7)^3, 2*E(7)^-2, -2*E(7)^-3, -2*E(7)^-3, -2*E(7)^-3, -2*E(7)^-2, -2*E(7), -2*E(7), 2*E(7)^-3, -2*E(7)^3, -2*E(7)^3, -2*E(7)^2, 2*E(7)^3, 2*E(7)^-1, -2*E(7)^2, -2*E(7)^-1, -2*E(7)^-2, 2*E(7)^2, 2*E(7)^3, -1*E(7)^3, -1*E(7)^-2, -1*E(7), -1*E(7)^-3, -1*E(7)^-1, -1*E(7)^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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(7)^-2, E(7), E(7)^3, E(7)^-2, E(7)^-2, E(7)^-3, E(7)^2, E(7)^-2, E(7)^-3, -1*E(7), -1*E(7)^-1, -1*E(7)^3, -1*E(7)^-3, -1*E(7)^-1, E(7)^-1, E(7)^3, E(7)^-3, E(7)^3, E(7)^-1, -1*E(7)^2, E(7)^-1, -1*E(7)^-3, E(7), E(7)^2, E(7)^3, -1*E(7)^2, -1*E(7)^-2, E(7)^2, -1*E(7)^-3, -1*E(7), -1*E(7)^-1, -1*E(7)^2, -1*E(7)^3, -1*E(7)^-2, E(7)^2, E(7), -1*E(7)^-2, E(7)^-3, -1*E(7)^3, E(7)^-1, E(7), -1*E(7)], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, 2*E(7)^2, 2*E(7)^-2, 2*E(7)^-3, 2*E(7)^3, 2*E(7)^-1, 2*E(7), 2*E(7)^3, 2*E(7)^2, -2*E(7)^3, 2*E(7)^-1, 2*E(7)^2, 2*E(7)^-1, -2*E(7)^-1, 2*E(7), -2*E(7)^-3, 2*E(7)^-1, 2*E(7)^-2, -2*E(7), 2*E(7)^-3, 2*E(7), 2*E(7)^3, -2*E(7), -2*E(7)^-2, -2*E(7)^2, -2*E(7), -2*E(7)^2, 2*E(7)^-2, -2*E(7)^-1, -2*E(7)^-2, -2*E(7)^-3, 2*E(7)^2, -2*E(7)^3, -2*E(7)^3, -2*E(7)^3, -2*E(7)^2, -2*E(7)^-1, -2*E(7)^-1, 2*E(7)^3, -2*E(7)^-3, -2*E(7)^-3, -2*E(7)^-2, 2*E(7)^-3, 2*E(7), -2*E(7)^-2, -2*E(7), -2*E(7)^2, 2*E(7)^-2, 2*E(7)^-3, -1*E(7)^-3, -1*E(7)^2, -1*E(7)^-1, -1*E(7)^3, -1*E(7), -1*E(7)^-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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(7)^2, E(7)^-1, E(7)^-3, E(7)^2, E(7)^2, E(7)^3, E(7)^-2, E(7)^2, E(7)^3, -1*E(7)^-1, -1*E(7), -1*E(7)^-3, -1*E(7)^3, -1*E(7), E(7), E(7)^-3, E(7)^3, E(7)^-3, E(7), -1*E(7)^-2, E(7), -1*E(7)^3, E(7)^-1, E(7)^-2, E(7)^-3, -1*E(7)^-2, -1*E(7)^2, E(7)^-2, -1*E(7)^3, -1*E(7)^-1, -1*E(7), -1*E(7)^-2, -1*E(7)^-3, -1*E(7)^2, E(7)^-2, E(7)^-1, -1*E(7)^2, E(7)^3, -1*E(7)^-3, E(7), E(7)^-1, -1*E(7)^-1], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, 2*E(7)^-1, 2*E(7), 2*E(7)^-2, 2*E(7)^2, 2*E(7)^-3, 2*E(7)^3, 2*E(7)^2, 2*E(7)^-1, -2*E(7)^2, 2*E(7)^-3, 2*E(7)^-1, 2*E(7)^-3, -2*E(7)^-3, 2*E(7)^3, -2*E(7)^-2, 2*E(7)^-3, 2*E(7), -2*E(7)^3, 2*E(7)^-2, 2*E(7)^3, 2*E(7)^2, -2*E(7)^3, -2*E(7), -2*E(7)^-1, -2*E(7)^3, -2*E(7)^-1, 2*E(7), -2*E(7)^-3, -2*E(7), -2*E(7)^-2, 2*E(7)^-1, -2*E(7)^2, -2*E(7)^2, -2*E(7)^2, -2*E(7)^-1, -2*E(7)^-3, -2*E(7)^-3, 2*E(7)^2, -2*E(7)^-2, -2*E(7)^-2, -2*E(7), 2*E(7)^-2, 2*E(7)^3, -2*E(7), -2*E(7)^3, -2*E(7)^-1, 2*E(7), 2*E(7)^-2, -1*E(7)^-2, -1*E(7)^-1, -1*E(7)^-3, -1*E(7)^2, -1*E(7)^3, -1*E(7), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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(7)^-1, E(7)^-3, E(7)^-2, E(7)^-1, E(7)^-1, E(7)^2, E(7), E(7)^-1, E(7)^2, -1*E(7)^-3, -1*E(7)^3, -1*E(7)^-2, -1*E(7)^2, -1*E(7)^3, E(7)^3, E(7)^-2, E(7)^2, E(7)^-2, E(7)^3, -1*E(7), E(7)^3, -1*E(7)^2, E(7)^-3, E(7), E(7)^-2, -1*E(7), -1*E(7)^-1, E(7), -1*E(7)^2, -1*E(7)^-3, -1*E(7)^3, -1*E(7), -1*E(7)^-2, -1*E(7)^-1, E(7), E(7)^-3, -1*E(7)^-1, E(7)^2, -1*E(7)^-2, E(7)^3, E(7)^-3, -1*E(7)^-3], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, -1, 2*E(7), 2*E(7)^-1, 2*E(7)^2, 2*E(7)^-2, 2*E(7)^3, 2*E(7)^-3, 2*E(7)^-2, 2*E(7), -2*E(7)^-2, 2*E(7)^3, 2*E(7), 2*E(7)^3, -2*E(7)^3, 2*E(7)^-3, -2*E(7)^2, 2*E(7)^3, 2*E(7)^-1, -2*E(7)^-3, 2*E(7)^2, 2*E(7)^-3, 2*E(7)^-2, -2*E(7)^-3, -2*E(7)^-1, -2*E(7), -2*E(7)^-3, -2*E(7), 2*E(7)^-1, -2*E(7)^3, -2*E(7)^-1, -2*E(7)^2, 2*E(7), -2*E(7)^-2, -2*E(7)^-2, -2*E(7)^-2, -2*E(7), -2*E(7)^3, -2*E(7)^3, 2*E(7)^-2, -2*E(7)^2, -2*E(7)^2, -2*E(7)^-1, 2*E(7)^2, 2*E(7)^-3, -2*E(7)^-1, -2*E(7)^-3, -2*E(7), 2*E(7)^-1, 2*E(7)^2, -1*E(7)^2, -1*E(7), -1*E(7)^3, -1*E(7)^-2, -1*E(7)^-3, -1*E(7)^-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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(7), E(7)^3, E(7)^2, E(7), E(7), E(7)^-2, E(7)^-1, E(7), E(7)^-2, -1*E(7)^3, -1*E(7)^-3, -1*E(7)^2, -1*E(7)^-2, -1*E(7)^-3, E(7)^-3, E(7)^2, E(7)^-2, E(7)^2, E(7)^-3, -1*E(7)^-1, E(7)^-3, -1*E(7)^-2, E(7)^3, E(7)^-1, E(7)^2, -1*E(7)^-1, -1*E(7), E(7)^-1, -1*E(7)^-2, -1*E(7)^3, -1*E(7)^-3, -1*E(7)^-1, -1*E(7)^2, -1*E(7), E(7)^-1, E(7)^3, -1*E(7), E(7)^-2, -1*E(7)^2, E(7)^-3, E(7)^3, -1*E(7)^3]]; ConvertToLibraryCharacterTableNC(chartbl_336_192);