# Group 960.10068 downloaded from the LMFDB on 15 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(13014056774550190721086708550823755120647,960); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; GPerm := Group( (9,10)(11,12)(13,15)(14,16)(17,18)(19,20)(21,22), (6,7)(11,13)(12,15)(14,18)(16,17)(19,20)(21,22), (6,7)(11,14,13,18)(12,16,15,17)(19,21)(20,22), (11,14)(12,17)(13,18)(15,16)(21,22), (1,2,3,4,5), (11,13)(12,15)(14,18)(16,17), (11,13)(12,15)(14,18)(16,17)(19,20)(21,22), (8,9,10) ); GLZN := Group([[[ZmodnZObj(45,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(45,88)]],[[ZmodnZObj(51,88), ZmodnZObj(58,88)], [ZmodnZObj(6,88), ZmodnZObj(37,88)]],[[ZmodnZObj(36,88), ZmodnZObj(27,88)], [ZmodnZObj(49,88), ZmodnZObj(8,88)]],[[ZmodnZObj(9,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(9,88)]],[[ZmodnZObj(3,88), ZmodnZObj(60,88)], [ZmodnZObj(60,88), ZmodnZObj(63,88)]],[[ZmodnZObj(67,88), ZmodnZObj(44,88)], [ZmodnZObj(44,88), ZmodnZObj(67,88)]],[[ZmodnZObj(25,88), ZmodnZObj(48,88)], [ZmodnZObj(16,88), ZmodnZObj(73,88)]],[[ZmodnZObj(65,88), ZmodnZObj(0,88)], [ZmodnZObj(0,88), ZmodnZObj(65,88)]]]); # Booleans booleans_960_10068 := 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_960_10068:=rec(); chartbl_960_10068.IsFinite:= true; chartbl_960_10068.UnderlyingCharacteristic:= 0; chartbl_960_10068.UnderlyingGroup:= GPC; chartbl_960_10068.Size:= 960; chartbl_960_10068.InfoText:= "Character table for group 960.10068 downloaded from the LMFDB."; chartbl_960_10068.Identifier:= " C10*D6.D4 "; chartbl_960_10068.NrConjugacyClasses:= 240; chartbl_960_10068.ConjugacyClasses:= [ of ..., f4, f4*f6*f7*f8^2, f2, f2*f6*f7*f8^2, f2*f4, f2*f4*f6*f7*f8^2, f6*f7*f8^2, f1, f1*f2, f1*f3*f5*f8^2, f1*f3*f5*f6*f8, f1*f2*f3*f5*f8^2, f1*f2*f3*f5*f6*f8, f7^2*f8, f1*f4*f5*f7^2*f8^3, f1*f5*f7^2*f8^3, f1*f2*f4*f5*f7^2*f8^3, f1*f2*f5*f7^2*f8^3, f5*f6*f8, f2*f5*f6*f8, f3, f3*f4, f2*f3, f2*f3*f4, f3*f5*f8^2, f2*f3*f5*f8^2, f1*f3, f1*f2*f3, f8, f8^4, f8^2, f8^3, f4*f6*f7^2, f2*f7^2*f8, f2*f6*f7^2, f2*f4*f7^2*f8, f2*f4*f6*f7^2, f6*f7^2, f4*f7*f8^3, f1*f7^2*f8, f1*f7*f8^3, f1*f2*f7^2*f8, f1*f2*f7*f8^3, f4*f8^2, f4*f8^3, f4*f8, f4*f8^4, f4*f6*f7*f8^4, f4*f6*f7, f4*f6*f7*f8^3, f4*f6*f7*f8, f2*f8, f2*f8^4, f2*f8^3, f2*f8^2, f2*f6*f7, f2*f6*f7*f8^4, f2*f6*f7*f8, f2*f6*f7*f8^3, f2*f4*f8, f2*f4*f8^4, f2*f4*f8^3, f2*f4*f8^2, f2*f4*f6*f7, f2*f4*f6*f7*f8^4, f2*f4*f6*f7*f8, f2*f4*f6*f7*f8^3, f6*f7, f6*f7*f8^4, f6*f7*f8, f6*f7*f8^3, f1*f8, f1*f8^4, f1*f8^3, f1*f8^2, f1*f2*f8, f1*f2*f8^4, f1*f2*f8^3, f1*f2*f8^2, f1*f3*f5, f1*f3*f5*f7^2, f1*f3*f5*f8, f1*f3*f5*f8^3, f1*f3*f5*f6, f1*f3*f5*f6*f7, f1*f3*f5*f6*f8^3, f1*f3*f5*f6*f7^2, f1*f2*f3*f5, f1*f2*f3*f5*f7^2, f1*f2*f3*f5*f8, f1*f2*f3*f5*f8^3, f1*f2*f3*f5*f6, f1*f2*f3*f5*f6*f7, f1*f2*f3*f5*f6*f8^3, f1*f2*f3*f5*f6*f7^2, f5*f7, f5*f8^2, f2*f5*f7, f2*f5*f8^2, f1*f5*f7, f1*f4*f5*f8^2, f1*f2*f5*f7, f1*f2*f4*f5*f8^2, f7, f7^2*f8^4, f7^2, f7*f8^4, f1*f4*f5*f7^2*f8^2, f1*f5*f7^2*f8^4, f1*f5*f7^2, f1*f4*f5*f7^2*f8, f1*f5*f7^2*f8, f1*f4*f5*f7^2, f1*f4*f5*f7^2*f8^4, f1*f5*f7^2*f8^2, f1*f2*f4*f5*f7^2*f8^2, f1*f2*f5*f7^2*f8^4, f1*f2*f5*f7^2, f1*f2*f4*f5*f7^2*f8, f1*f2*f5*f7^2*f8, f1*f2*f4*f5*f7^2, f1*f2*f4*f5*f7^2*f8^4, f1*f2*f5*f7^2*f8^2, f5*f6, f5*f7^2*f8^4, f5*f7^2, f5*f6*f8^4, f2*f5*f6, f2*f5*f7^2*f8^4, f2*f5*f7^2, f2*f5*f6*f8^4, f3*f8, f3*f4*f7^2, f3*f4*f8^3, f3*f7, f3*f4*f7, f3*f8^3, f3*f7^2, f3*f4*f8, f2*f3*f8, f2*f3*f4*f7^2, f2*f3*f4*f8^3, f2*f3*f7, f2*f3*f4*f7, f2*f3*f8^3, f2*f3*f7^2, f2*f3*f4*f8, f3*f5, f3*f5*f7^2, f3*f5*f8, f3*f5*f8^3, f2*f3*f5, f2*f3*f5*f7^2, f2*f3*f5*f8, f2*f3*f5*f8^3, f1*f3*f8, f1*f3*f7^2, f1*f3*f8^3, f1*f3*f7, f1*f2*f3*f8, f1*f2*f3*f7^2, f1*f2*f3*f8^3, f1*f2*f3*f7, f4*f6, f4*f6*f8^3, f4*f6*f8, f4*f6*f8^2, f2*f7, f2*f7*f8, f2*f7^2, f2*f7^2*f8^2, f2*f6, f2*f6*f8^3, f2*f6*f8, f2*f6*f8^2, f2*f4*f7, f2*f4*f7*f8, f2*f4*f7^2, f2*f4*f7^2*f8^2, f2*f4*f6, f2*f4*f6*f8^3, f2*f4*f6*f8, f2*f4*f6*f8^2, f6, f6*f7^2*f8^4, f6*f8, f6*f7^2*f8^3, f4*f7^2*f8^2, f4*f7*f8^2, f4*f7^2*f8^3, f4*f7*f8, f1*f7, f1*f7^2*f8^4, f1*f7*f8^2, f1*f4*f6, f1*f4*f7, f1*f7*f8, f1*f6, f1*f7^2, f1*f2*f7, f1*f2*f7^2*f8^4, f1*f2*f7*f8^2, f1*f2*f4*f6, f1*f2*f4*f7, f1*f2*f7*f8, f1*f2*f6, f1*f2*f7^2, f5, f5*f8^4, f5*f7*f8, f4*f5*f8, f5*f8, f5*f8^3, f5*f7*f8^2, f4*f5, f2*f5, f2*f5*f8^4, f2*f5*f7*f8, f2*f4*f5*f8, f2*f5*f8, f2*f5*f8^3, f2*f5*f7*f8^2, f2*f4*f5, f1*f5, f1*f4*f5*f8^4, f1*f5*f6*f7, f1*f5*f8, f1*f4*f5, f1*f5*f8^4, f1*f5*f8^3, f1*f4*f5*f8, f1*f2*f5, f1*f2*f4*f5*f8^4, f1*f2*f5*f6*f7, f1*f2*f5*f8, f1*f2*f4*f5, f1*f2*f5*f8^4, f1*f2*f5*f8^3, f1*f2*f4*f5*f8]; chartbl_960_10068.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, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240]; chartbl_960_10068.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 2, 2, 2, 2, 8, 8, 2, 2, 2, 2, 2, 2, 3, 3, 32, 33, 31, 30, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 31, 30, 32, 33, 31, 30, 32, 33, 32, 33, 30, 31, 30, 31, 33, 32, 32, 33, 30, 31, 30, 31, 33, 32, 30, 31, 33, 32, 32, 33, 30, 31, 32, 33, 30, 31, 30, 31, 33, 32, 33, 32, 31, 30, 30, 31, 33, 32, 33, 32, 31, 30, 39, 39, 39, 39, 40, 40, 40, 40, 107, 108, 106, 105, 46, 45, 48, 47, 47, 48, 45, 46, 46, 45, 48, 47, 47, 48, 45, 46, 69, 70, 71, 72, 69, 70, 71, 72, 45, 46, 47, 48, 48, 47, 46, 45, 45, 46, 47, 48, 48, 47, 46, 45, 47, 48, 46, 45, 47, 48, 46, 45, 49, 50, 51, 52, 49, 50, 51, 52, 105, 106, 107, 108, 107, 108, 106, 105, 105, 106, 107, 108, 107, 108, 106, 105, 105, 106, 107, 108, 105, 106, 107, 108, 105, 106, 107, 108, 107, 108, 106, 105, 107, 108, 105, 106, 107, 108, 106, 105, 107, 108, 105, 106, 185, 186, 187, 188, 188, 187, 186, 185, 185, 186, 187, 188, 188, 187, 186, 185, 189, 190, 191, 192, 189, 190, 191, 192, 189, 190, 191, 192, 189, 190, 191, 192], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 17, 16, 19, 18, 20, 21, 23, 22, 25, 24, 26, 27, 28, 29, 33, 32, 30, 31, 3, 4, 5, 6, 7, 8, 2, 9, 9, 10, 10, 47, 48, 46, 45, 51, 52, 50, 49, 55, 56, 54, 53, 59, 60, 58, 57, 63, 64, 62, 61, 67, 68, 66, 65, 71, 72, 70, 69, 75, 76, 74, 73, 79, 80, 78, 77, 83, 84, 82, 81, 87, 88, 86, 85, 91, 92, 90, 89, 95, 96, 94, 93, 20, 20, 21, 21, 16, 17, 18, 19, 30, 31, 32, 33, 111, 112, 115, 116, 109, 110, 113, 114, 119, 120, 123, 124, 117, 118, 121, 122, 127, 128, 126, 125, 131, 132, 130, 129, 135, 136, 139, 140, 133, 134, 137, 138, 143, 144, 147, 148, 141, 142, 145, 146, 151, 152, 150, 149, 155, 156, 154, 153, 159, 160, 158, 157, 163, 164, 162, 161, 50, 49, 51, 52, 53, 54, 56, 55, 57, 58, 60, 59, 61, 62, 64, 63, 65, 66, 68, 67, 69, 70, 72, 71, 46, 45, 47, 48, 73, 74, 76, 75, 73, 74, 75, 76, 77, 78, 80, 79, 77, 78, 79, 80, 125, 126, 128, 127, 127, 128, 126, 125, 129, 130, 132, 131, 131, 132, 130, 129, 109, 110, 113, 114, 116, 115, 112, 111, 117, 118, 121, 122, 124, 123, 120, 119], [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, 1, 1, 1, 1, 34, 35, 36, 37, 38, 39, 40, 42, 41, 44, 43, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 98, 97, 100, 99, 101, 102, 103, 104, 15, 15, 15, 15, 16, 17, 17, 16, 17, 16, 16, 17, 18, 19, 19, 18, 19, 18, 18, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 23, 23, 22, 23, 22, 22, 23, 24, 25, 25, 24, 25, 24, 24, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 34, 34, 34, 34, 35, 35, 35, 35, 36, 36, 36, 36, 37, 37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 42, 41, 42, 42, 41, 41, 42, 43, 44, 43, 44, 44, 43, 43, 44, 97, 97, 98, 98, 97, 97, 98, 98, 99, 99, 100, 100, 99, 99, 100, 100, 101, 102, 102, 101, 102, 101, 101, 102, 103, 104, 104, 103, 104, 103, 103, 104]]; chartbl_960_10068.SizesCentralizers:= [960, 960, 960, 960, 960, 960, 960, 960, 240, 240, 160, 160, 160, 160, 480, 480, 480, 480, 480, 240, 240, 160, 160, 160, 160, 80, 80, 80, 80, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 240, 240, 240, 240, 240, 240, 240, 240, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 240, 240, 240, 240, 240, 240, 240, 240, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240]; chartbl_960_10068.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "2L", "2M", "3A", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "4E1", "4E-1", "4F1", "4F-1", "4G", "4H", "4I", "4J", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H1", "6H-1", "6I1", "6I-1", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "10F1", "10F-1", "10F3", "10F-3", "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", "10M1", "10M-1", "10M3", "10M-3", "12A1", "12A5", "12B1", "12B5", "12C1", "12C-1", "12D1", "12D-1", "15A1", "15A-1", "15A2", "15A-2", "20A1", "20A-1", "20A3", "20A-3", "20A7", "20A-7", "20A9", "20A-9", "20B1", "20B-1", "20B3", "20B-3", "20B7", "20B-7", "20B9", "20B-9", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "20E7", "20E-7", "20E9", "20E-9", "20F1", "20F-1", "20F3", "20F-3", "20F7", "20F-7", "20F9", "20F-9", "20G1", "20G-1", "20G3", "20G-3", "20H1", "20H-1", "20H3", "20H-3", "20I1", "20I-1", "20I3", "20I-3", "20J1", "20J-1", "20J3", "20J-3", "30A1", "30A-1", "30A7", "30A-7", "30B1", "30B-1", "30B7", "30B-7", "30C1", "30C-1", "30C7", "30C-7", "30D1", "30D-1", "30D7", "30D-7", "30E1", "30E-1", "30E7", "30E-7", "30F1", "30F-1", "30F7", "30F-7", "30G1", "30G-1", "30G7", "30G-7", "30H1", "30H-1", "30H7", "30H-7", "30H11", "30H-11", "30H13", "30H-13", "30I1", "30I-1", "30I7", "30I-7", "30I11", "30I-11", "30I13", "30I-13", "60A1", "60A-1", "60A7", "60A-7", "60A13", "60A-13", "60A19", "60A-19", "60B1", "60B-1", "60B7", "60B-7", "60B13", "60B-13", "60B19", "60B-19", "60C1", "60C-1", "60C7", "60C-7", "60C11", "60C-11", "60C17", "60C-17", "60D1", "60D-1", "60D7", "60D-7", "60D11", "60D-11", "60D17", "60D-17"]; chartbl_960_10068.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60]; chartbl_960_10068.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, 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-4*E(5)^-2, 4*E(5)^-1, 4*E(5)^2, -4*E(5)^-2, 4*E(5), 4*E(5)^-2, -4*E(5)^-1, -4*E(5)^2, 4*E(5), 4*E(5)^2, -4*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, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*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, 0, 0, 0, 0, 0, 0, 0, 0, 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*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5), 2*E(5)^-2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, -2*E(5), -2*E(5)^-2, -2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^-1, -2*E(5)^2, -2*E(5)^2, 2*E(5)^2, -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-2, -2*E(5)^-1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5), 4*E(5)^-1, 4*E(5)^2, 4*E(5)^-2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, -4*E(5)^-1, -4*E(5)^-1, -4*E(5)^-1, -4*E(5), 4*E(5)^2, -4*E(5), -4*E(5), 4*E(5), -4*E(5)^2, -4*E(5)^-2, -4*E(5)^2, 4*E(5)^-1, -4*E(5)^-2, 4*E(5), 4*E(5)^2, -4*E(5)^-1, 4*E(5)^-2, -4*E(5)^2, 4*E(5), 4*E(5)^-2, -4*E(5)^2, 4*E(5)^-1, 4*E(5)^2, -4*E(5), -4*E(5)^-2, 4*E(5)^-1, 4*E(5)^-2, -4*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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5), 2*E(5), -2*E(5)^-2, -2*E(5)^-2, 2*E(5)^-2, -2*E(5), -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 2*E(5)^-2, 2*E(5)^2, -2*E(5), -2*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, 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_960_10068);