# Group 1344.8546 downloaded from the LMFDB on 05 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(18116660533071618689973858837564429626444513796312690912598283,1344); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4;
GPerm := Group( (2,3)(4,5)(6,7)(13,19)(14,22)(16,23)(17,24)(20,25)(21,26), (9,10)(13,20)(16,21)(19,25)(23,26), (11,12,15,18)(13,21,20,16)(14,17,22,24)(19,26,25,23), (11,13,22,25,15,20,14,19)(12,16,24,26,18,21,17,23), (11,14,15,22)(12,17,18,24)(13,19,20,25)(16,23,21,26), (11,15)(12,18)(13,20)(14,22)(16,21)(17,24)(19,25)(23,26), (8,9,10), (1,2,4,6,7,5,3) );

 
# Booleans 
booleans_1344_8546 := 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_1344_8546:=rec(); 
chartbl_1344_8546.IsFinite:= true; 
chartbl_1344_8546.UnderlyingCharacteristic:= 0; 
chartbl_1344_8546.UnderlyingGroup:= GPC;
chartbl_1344_8546.Size:= 1344;
chartbl_1344_8546.InfoText:= "Character table for group 1344.8546 downloaded from the LMFDB."; 
chartbl_1344_8546.Identifier:= " D56:D6 "; 
chartbl_1344_8546.NrConjugacyClasses:= 123; 
chartbl_1344_8546.ConjugacyClasses:= [<identity> of ..., f6*f7*f8^3, f1*f5*f7^2*f8, f1*f2*f5*f8^4, f2, f3*f5*f7^2*f8^2, f1*f3*f4*f6*f7^2*f8^5, f3*f4*f6*f7^2*f8^5, f2*f3*f5*f7*f8^2, f7^2*f8^4, f5*f7^2*f8, f1, f1*f2*f6*f7*f8^3, f1*f2, f2*f5*f6*f7, f1*f3*f8^5, f2*f3*f4*f7*f8, f1*f2*f3*f4*f7, f1*f2*f3*f5*f7*f8^5, f6*f8, f1*f5*f8^4, f3*f5*f7, f1*f3*f4*f6*f8, f3*f4*f6*f8, f8^6, f8^5, f8^4, f4*f6*f7^2, f1*f4*f6*f7^2, f2*f4*f5*f7^2*f8^3, f1*f2*f4*f5*f7^2*f8^3, f1*f6*f7^2*f8^5, f5*f6*f7, f1*f3*f6*f8^6, f6*f7*f8^5, f6*f7*f8^2, f6*f7*f8^6, f1*f5*f7^2*f8^3, f1*f5*f7^2, f1*f5*f7^2*f8^4, f1*f2*f5, f1*f2*f5*f8, f1*f2*f5*f8^6, f1*f2*f5*f6, f1*f2*f5*f7, f1*f2*f5*f7^2, f2*f8, f2*f7^2, f2*f7, f7^2*f8^3, f7, f7^2, f4*f5*f6, f1*f4*f5*f6, f5*f6*f8, f5*f7^2*f8^3, f5*f6*f8^6, f5*f6*f8^4, f5*f7^2*f8^6, f5*f6*f8^2, f1*f6*f7*f8^4, f1*f8^3, f1*f6*f7*f8, f1*f2*f8, f1*f2*f6, f1*f2*f6*f7, f1*f2*f7^2, f1*f2*f7, f1*f2*f6*f7^2, f2*f5, f2*f5*f6, f2*f5*f7, f6*f8^4, f6*f7^2*f8^6, f6*f7^2*f8^3, f1*f5, f1*f5*f7, f1*f5*f8^2, f4*f5, f4*f7, f4*f5*f6*f7, f4*f5*f8, f4*f7*f8, f4*f5*f6*f7*f8, f1*f4*f5, f1*f4*f7, f1*f4*f5*f6*f7, f1*f4*f5*f8, f1*f4*f7*f8, f1*f4*f5*f6*f7*f8, f2*f4, f2*f4*f8, f2*f4*f6, f2*f4*f7, f2*f4*f7^2, f2*f4*f8^4, f1*f2*f4, f1*f2*f4*f8, f1*f2*f4*f6, f1*f2*f4*f7, f1*f2*f4*f7^2, f1*f2*f4*f8^4, f5, f5*f7, f5*f6*f7^2, f5*f8, f5*f6*f7*f8, f5*f8^2, f1*f7, f1*f7^2, f1*f6, f4, f4*f6, f4*f7^2, f4*f8^4, f4*f8^5, f4*f8, f1*f4, f1*f4*f6, f1*f4*f7^2, f1*f4*f8^4, f1*f4*f8^5, f1*f4*f8];
chartbl_1344_8546.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];
chartbl_1344_8546.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 2, 2, 2, 2, 2, 2, 2, 2, 2, 10, 10, 10, 10, 10, 26, 27, 25, 11, 11, 11, 11, 20, 20, 20, 27, 26, 25, 27, 26, 25, 25, 25, 27, 27, 26, 26, 26, 25, 27, 51, 52, 50, 33, 33, 36, 37, 35, 35, 37, 36, 35, 36, 37, 35, 35, 36, 36, 37, 37, 36, 37, 35, 50, 51, 52, 50, 51, 52, 59, 57, 55, 60, 58, 56, 59, 57, 55, 60, 58, 56, 55, 56, 57, 58, 59, 60, 55, 56, 57, 58, 59, 60, 74, 75, 73, 74, 75, 73, 73, 74, 75, 103, 104, 105, 106, 107, 108, 103, 104, 105, 106, 107, 108], [1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 11, 12, 14, 13, 15, 16, 17, 18, 19, 2, 3, 6, 7, 8, 27, 25, 26, 28, 29, 30, 31, 12, 11, 16, 36, 37, 35, 39, 40, 38, 43, 44, 46, 45, 41, 42, 48, 49, 47, 27, 25, 26, 28, 29, 56, 58, 60, 55, 57, 59, 62, 63, 61, 66, 67, 68, 69, 65, 64, 71, 72, 70, 35, 37, 36, 38, 40, 39, 80, 82, 84, 79, 81, 83, 86, 88, 90, 85, 87, 89, 92, 94, 96, 91, 93, 95, 98, 100, 102, 97, 99, 101, 59, 55, 58, 56, 60, 57, 61, 63, 62, 79, 81, 83, 84, 82, 80, 85, 87, 89, 90, 88, 86], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 1, 1, 1, 28, 29, 30, 31, 32, 33, 34, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 10, 10, 10, 53, 54, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 14, 14, 13, 13, 14, 15, 15, 15, 20, 20, 20, 21, 21, 21, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 33, 33, 33, 33, 33, 33, 32, 32, 32, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54]];
chartbl_1344_8546.SizesCentralizers:= [1344, 1344, 672, 224, 224, 48, 48, 48, 16, 672, 672, 672, 448, 448, 224, 48, 16, 16, 16, 672, 336, 24, 24, 24, 672, 672, 672, 336, 336, 112, 112, 336, 336, 24, 672, 672, 672, 336, 336, 336, 224, 224, 224, 224, 224, 224, 112, 112, 112, 336, 336, 336, 168, 168, 672, 672, 672, 672, 672, 672, 336, 336, 336, 224, 224, 224, 224, 224, 224, 112, 112, 112, 336, 336, 336, 168, 168, 168, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 336, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 336, 336, 336, 336, 336, 336, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168];
chartbl_1344_8546.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "3A", "4A", "4B", "4C1", "4C-1", "4D", "4E", "4F", "4G", "4H", "6A", "6B", "6C", "6D", "6E", "7A1", "7A2", "7A3", "8A", "8B", "8C", "8D", "12A", "12B", "12C", "14A1", "14A3", "14A5", "14B1", "14B3", "14B5", "14C1", "14C-1", "14C3", "14C-3", "14C5", "14C-5", "14D1", "14D3", "14D5", "21A1", "21A2", "21A4", "24A", "24B", "28A1", "28A3", "28A5", "28A9", "28A11", "28A13", "28B1", "28B3", "28B5", "28C1", "28C-1", "28C3", "28C-3", "28C5", "28C-5", "28D1", "28D3", "28D5", "42A1", "42A5", "42A11", "42B1", "42B5", "42B11", "56A1", "56A3", "56A5", "56A9", "56A11", "56A13", "56B1", "56B3", "56B5", "56B9", "56B11", "56B13", "56C1", "56C3", "56C5", "56C9", "56C11", "56C13", "56D1", "56D3", "56D5", "56D9", "56D11", "56D13", "84A1", "84A5", "84A11", "84A13", "84A19", "84A25", "84B1", "84B5", "84B11", "168A1", "168A5", "168A11", "168A13", "168A19", "168A25", "168B1", "168B5", "168B11", "168B13", "168B19", "168B25"];
chartbl_1344_8546.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 12, 12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 21, 21, 21, 24, 24, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 42, 42, 42, 42, 42, 42, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 84, 84, 84, 84, 84, 84, 84, 84, 84, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168];
chartbl_1344_8546.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, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1], [1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1], [1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1], [1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -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(28)^3-2*E(28)^5+2*E(28)^7-2*E(28)^9+2*E(28)^11, 0, 0, 0, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-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, -2*E(28)^5-2*E(28)^-5, 2*E(28)^3+2*E(28)^-3, 2*E(28)+2*E(28)^-1, -2*E(28)^3-2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, -2*E(28)-2*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4*E(28)^7, 4*E(28)^7, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^6+2*E(28)^-6, -2*E(28)^4-2*E(28)^-4, 2*E(28)^2+2*E(28)^-2, 0, 0, 0, 2*E(28)^6+2*E(28)^8, -2+4*E(28)^2-2*E(28)^4+2*E(28)^6-2*E(28)^8+2*E(28)^10, 2*E(28)^4+2*E(28)^10, 2-4*E(28)^2+2*E(28)^4-2*E(28)^6+2*E(28)^8-2*E(28)^10, -2*E(28)^4-2*E(28)^10, -2*E(28)^6-2*E(28)^8, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 0, 0, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 0, 0, 0, -2*E(28)^5-2*E(28)^9, 2*E(28)^3+2*E(28)^11, 2*E(28)^5+2*E(28)^9, 2*E(28)^3-2*E(28)^5+2*E(28)^7-2*E(28)^9+2*E(28)^11, -2*E(28)^3-2*E(28)^11, -2*E(28)^3+2*E(28)^5-2*E(28)^7+2*E(28)^9-2*E(28)^11, 0, 0, 0, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-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, 2*E(28)^5+2*E(28)^-5, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4*E(28)^7, -4*E(28)^7, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^6+2*E(28)^-6, -2*E(28)^4-2*E(28)^-4, 2*E(28)^2+2*E(28)^-2, 0, 0, 0, -2*E(28)^6-2*E(28)^8, 2-4*E(28)^2+2*E(28)^4-2*E(28)^6+2*E(28)^8-2*E(28)^10, -2*E(28)^4-2*E(28)^10, -2+4*E(28)^2-2*E(28)^4+2*E(28)^6-2*E(28)^8+2*E(28)^10, 2*E(28)^4+2*E(28)^10, 2*E(28)^6+2*E(28)^8, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 0, 0, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 0, 0, 0, 2*E(28)^5+2*E(28)^9, -2*E(28)^3-2*E(28)^11, -2*E(28)^5-2*E(28)^9, -2*E(28)^3+2*E(28)^5-2*E(28)^7+2*E(28)^9-2*E(28)^11, 2*E(28)^3+2*E(28)^11, 2*E(28)^3-2*E(28)^5+2*E(28)^7-2*E(28)^9+2*E(28)^11, 0, 0, 0, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-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, 2*E(28)^5+2*E(28)^-5, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4*E(28)^2-4*E(28)^-2, 4*E(28)^4+4*E(28)^-4, -4*E(28)^6-4*E(28)^-6, 0, 0, 0, 0, 0, 0, 0, -4*E(28)^4-4*E(28)^-4, 4*E(28)^2+4*E(28)^-2, 4*E(28)^6+4*E(28)^-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^2+2*E(28)^-2, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 0, 0, -4*E(28)^5-4*E(28)^-5, 4*E(28)^3+4*E(28)^-3, 4*E(28)^5+4*E(28)^-5, 4*E(28)+4*E(28)^-1, -4*E(28)-4*E(28)^-1, -4*E(28)^3-4*E(28)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^2-2*E(28)^-2, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-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, -2*E(28)-2*E(28)^-1, 2*E(28)^5+2*E(28)^-5, -2*E(28)^3-2*E(28)^-3, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4*E(28)^2-4*E(28)^-2, 4*E(28)^4+4*E(28)^-4, -4*E(28)^6-4*E(28)^-6, 0, 0, 0, 0, 0, 0, 0, -4*E(28)^4-4*E(28)^-4, 4*E(28)^2+4*E(28)^-2, 4*E(28)^6+4*E(28)^-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^2+2*E(28)^-2, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 0, 0, 4*E(28)^5+4*E(28)^-5, -4*E(28)^3-4*E(28)^-3, -4*E(28)^5-4*E(28)^-5, -4*E(28)-4*E(28)^-1, 4*E(28)+4*E(28)^-1, 4*E(28)^3+4*E(28)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^2-2*E(28)^-2, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-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, 2*E(28)+2*E(28)^-1, -2*E(28)^5-2*E(28)^-5, 2*E(28)^3+2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, -2*E(28)-2*E(28)^-1, -2*E(28)^3-2*E(28)^-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4*E(28)^6-4*E(28)^-6, -4*E(28)^2-4*E(28)^-2, 4*E(28)^4+4*E(28)^-4, 0, 0, 0, 0, 0, 0, 0, 4*E(28)^2+4*E(28)^-2, 4*E(28)^6+4*E(28)^-6, -4*E(28)^4-4*E(28)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-2, -2*E(28)^4-2*E(28)^-4, 0, 0, -4*E(28)-4*E(28)^-1, 4*E(28)^5+4*E(28)^-5, 4*E(28)+4*E(28)^-1, -4*E(28)^3-4*E(28)^-3, 4*E(28)^3+4*E(28)^-3, -4*E(28)^5-4*E(28)^-5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 2*E(28)^4+2*E(28)^-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, 2*E(28)^3+2*E(28)^-3, 2*E(28)+2*E(28)^-1, -2*E(28)^5-2*E(28)^-5, -2*E(28)-2*E(28)^-1, -2*E(28)^3-2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4*E(28)^6-4*E(28)^-6, -4*E(28)^2-4*E(28)^-2, 4*E(28)^4+4*E(28)^-4, 0, 0, 0, 0, 0, 0, 0, 4*E(28)^2+4*E(28)^-2, 4*E(28)^6+4*E(28)^-6, -4*E(28)^4-4*E(28)^-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-2, -2*E(28)^4-2*E(28)^-4, 0, 0, 4*E(28)+4*E(28)^-1, -4*E(28)^5-4*E(28)^-5, -4*E(28)-4*E(28)^-1, 4*E(28)^3+4*E(28)^-3, -4*E(28)^3-4*E(28)^-3, 4*E(28)^5+4*E(28)^-5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-2, 2*E(28)^4+2*E(28)^-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, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^5+2*E(28)^-5, 2*E(28)+2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, -2*E(28)^5-2*E(28)^-5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4*E(28)^4+4*E(28)^-4, -4*E(28)^6-4*E(28)^-6, -4*E(28)^2-4*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 4*E(28)^6+4*E(28)^-6, -4*E(28)^4-4*E(28)^-4, 4*E(28)^2+4*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-2, 0, 0, -4*E(28)^3-4*E(28)^-3, -4*E(28)-4*E(28)^-1, 4*E(28)^3+4*E(28)^-3, 4*E(28)^5+4*E(28)^-5, -4*E(28)^5-4*E(28)^-5, 4*E(28)+4*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-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, -2*E(28)^5-2*E(28)^-5, 2*E(28)^3+2*E(28)^-3, 2*E(28)+2*E(28)^-1, -2*E(28)^3-2*E(28)^-3, 2*E(28)^5+2*E(28)^-5, -2*E(28)-2*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4*E(28)^4+4*E(28)^-4, -4*E(28)^6-4*E(28)^-6, -4*E(28)^2-4*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 4*E(28)^6+4*E(28)^-6, -4*E(28)^4-4*E(28)^-4, 4*E(28)^2+4*E(28)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(28)^4-2*E(28)^-4, 2*E(28)^6+2*E(28)^-6, 2*E(28)^2+2*E(28)^-2, 0, 0, 4*E(28)^3+4*E(28)^-3, 4*E(28)+4*E(28)^-1, -4*E(28)^3-4*E(28)^-3, -4*E(28)^5-4*E(28)^-5, 4*E(28)^5+4*E(28)^-5, -4*E(28)-4*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(28)^4+2*E(28)^-4, -2*E(28)^6-2*E(28)^-6, -2*E(28)^2-2*E(28)^-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, 2*E(28)^5+2*E(28)^-5, -2*E(28)^3-2*E(28)^-3, -2*E(28)-2*E(28)^-1, 2*E(28)^3+2*E(28)^-3, -2*E(28)^5-2*E(28)^-5, 2*E(28)+2*E(28)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_1344_8546);