# Group 1760.44 downloaded from the LMFDB on 18 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(91038679891360558027725995828045175822248108877740646553198060003009,1760); a := GPC.1; b := GPC.2; c := GPC.5;
GPerm := Group( (2,3)(4,6)(5,8)(7,9)(10,11)(12,13,14,17,15,16,18,19), (13,16)(14,18), (2,4,7,11,8)(3,6,9,10,5), (13,16)(17,19), (12,14,15,18)(13,17,16,19), (12,15)(13,16)(14,18)(17,19), (1,2,5,7,11,4,6,10,9,8,3) );

 
# Booleans 
booleans_1760_44 := 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_1760_44:=rec(); 
chartbl_1760_44.IsFinite:= true; 
chartbl_1760_44.UnderlyingCharacteristic:= 0; 
chartbl_1760_44.UnderlyingGroup:= GPC;
chartbl_1760_44.Size:= 1760;
chartbl_1760_44.InfoText:= "Character table for group 1760.44 downloaded from the LMFDB."; 
chartbl_1760_44.Identifier:= " (D4*C22).C10 "; 
chartbl_1760_44.NrConjugacyClasses:= 65; 
chartbl_1760_44.ConjugacyClasses:= [<identity> of ..., f6*f7^5, f3*f4^2*f5*f7^8, f1, f1*f5*f7^8, f5*f6*f7^2, f3*f4^2*f6*f7^5, f4*f6*f7^6, f4^4*f7^6, f4^2*f7^10, f4^3*f6*f7^8, f2*f4*f6, f2*f3*f4^3*f7^6, f1*f2*f4*f5*f7^8, f1*f2*f4*f6*f7^5, f4^3*f7^5, f4^2*f6*f7^7, f4^4*f6*f7^4, f4*f7^9, f3*f5, f3*f4^4*f5, f3*f4*f5, f3*f4^3*f5, f1*f3*f6*f7^5, f1*f3*f4^4*f6*f7^5, f1*f3*f4, f1*f3*f4^3, f1*f4^2*f6*f7^8, f1*f4^3*f7^2, f1*f4*f7^8, f1*f4^4*f6*f7^9, f7^6, f3*f4*f6*f7^4, f3*f4^3*f7^9, f3*f4^4*f6*f7^7, f3*f7^5, f4^4*f5*f6*f7^2, f4*f5*f6*f7^2, f4^2*f5*f7^8, f4^3*f5*f7^8, f6, f3*f4^2*f5, f3*f4^2*f5*f6, f1*f7, f1*f6, f1*f5, f1*f5*f7^3, f2*f4^3*f7^4, f2*f3*f4*f6*f7^6, f2*f3*f4^4*f6*f7^2, f2*f7^7, f2*f3*f4^2*f7^7, f2*f4^2*f6*f7^2, f2*f4^4*f6*f7^6, f2*f3*f7^4, f1*f2*f4^3*f5*f6*f7^2, f1*f2*f4^4*f6*f7^5, f1*f2*f4^2, f1*f2*f5*f6*f7^2, f1*f2*f6*f7^5, f1*f2*f4^2*f5*f7^8, f1*f2*f4^4*f5*f7^8, f1*f2*f4^3, f5, f3*f4^2*f7];
chartbl_1760_44.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];
chartbl_1760_44.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 2, 2, 10, 11, 9, 8, 7, 7, 6, 6, 8, 9, 11, 10, 8, 9, 11, 10, 8, 9, 11, 10, 9, 8, 10, 11, 32, 16, 17, 18, 19, 16, 17, 18, 19, 32, 32, 32, 32, 32, 32, 32, 33, 34, 35, 36, 36, 35, 34, 33, 37, 38, 39, 40, 40, 39, 38, 37, 41, 41], [1, 2, 3, 4, 5, 6, 7, 1, 1, 1, 1, 12, 13, 14, 15, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 4, 4, 4, 4, 32, 7, 7, 7, 7, 6, 6, 6, 6, 41, 42, 43, 44, 45, 46, 47, 12, 13, 13, 12, 13, 12, 12, 13, 14, 15, 15, 14, 15, 14, 14, 15, 64, 65], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 12, 15, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 1, 33, 34, 35, 36, 37, 38, 39, 40, 2, 3, 3, 4, 4, 5, 5, 55, 54, 53, 52, 51, 50, 49, 48, 63, 62, 61, 60, 59, 58, 57, 56, 6, 7]];
chartbl_1760_44.SizesCentralizers:= [1760, 1760, 880, 440, 440, 880, 880, 160, 160, 160, 160, 40, 40, 40, 40, 160, 160, 160, 160, 80, 80, 80, 80, 40, 40, 40, 40, 40, 40, 40, 40, 176, 80, 80, 80, 80, 80, 80, 80, 80, 176, 176, 176, 88, 88, 88, 88, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 88, 88];
chartbl_1760_44.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "4A", "4B", "5A1", "5A-1", "5A2", "5A-2", "8A1", "8A-1", "8B1", "8B-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", "11A", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "22A", "22B1", "22B-1", "22C1", "22C-1", "22D1", "22D-1", "40A1", "40A-1", "40A3", "40A-3", "40A7", "40A-7", "40A9", "40A-9", "40B1", "40B-1", "40B3", "40B-3", "40B7", "40B-7", "40B9", "40B-9", "44A", "44B"];
chartbl_1760_44.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 20, 20, 20, 20, 20, 20, 20, 20, 22, 22, 22, 22, 22, 22, 22, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 44, 44];
chartbl_1760_44.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*E(4), -1*E(4), E(4), E(4), 1, 1, 1, 1, 1, 1, 1, 1, 1, 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(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1, -1], [1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, E(4), E(4), -1*E(4), -1*E(4), 1, 1, 1, 1, 1, 1, 1, 1, 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(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1, -1], [1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1*E(4), E(4), -1*E(4), E(4), 1, 1, 1, 1, 1, 1, 1, 1, -1, -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(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1, -1], [1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, E(4), -1*E(4), E(4), -1*E(4), 1, 1, 1, 1, 1, 1, 1, 1, -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(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1, -1], [1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5), E(5)^2, E(5)^-1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5), 1, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^-2, 1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5)^-1, 1, 1], [1, 1, 1, 1, 1, 1, 1, E(5)^2, E(5)^-1, E(5)^-2, E(5), 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^-1, 1, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, 1, 1, 1, 1, 1, 1, 1, E(5)^-2, E(5)^2, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5), 1, 1], [1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5)^-2, E(5), E(5)^2, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^2, E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^-1, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^-2, 1, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5)^-1, 1, 1, 1, 1, 1, 1, 1, E(5), E(5)^-1, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^2, 1, 1], [1, 1, 1, 1, 1, 1, 1, E(5), E(5)^2, E(5)^-1, E(5)^-2, 1, 1, 1, 1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^-2, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5), E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5)^2, 1, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5), 1, 1, 1, 1, 1, 1, 1, E(5)^-1, E(5), E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^-2, E(5), E(5)^2, E(5)^-1, -1, 1, 1, -1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5), 1, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^-2, 1, 1, 1, -1, -1, -1, -1, -1*E(5)^2, E(5)^-2, E(5)^-2, E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5), E(5), -1*E(5)^-1, -1*E(5)^-2, E(5), E(5)^2, E(5)^2, E(5)^-1, 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^2, E(5)^-1, E(5)^-2, E(5), -1, 1, 1, -1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^2, E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-1, 1, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, 1, 1, 1, -1, -1, -1, -1, -1*E(5)^-2, E(5)^2, E(5)^2, E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-1, E(5)^-1, -1*E(5), -1*E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5), 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^-1, E(5)^-2, E(5), E(5)^2, -1, 1, 1, -1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^2, E(5)^-1, E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-2, 1, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5)^-1, 1, 1, 1, -1, -1, -1, -1, -1*E(5), E(5)^-1, E(5)^-1, E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, E(5)^-2, -1*E(5)^2, -1*E(5)^-1, E(5)^-2, E(5), E(5), E(5)^2, 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5), E(5)^2, E(5)^-1, E(5)^-2, -1, 1, 1, -1, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, E(5)^-2, E(5), E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5)^2, 1, E(5)^2, E(5)^-1, E(5)^-2, E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5), 1, 1, 1, -1, -1, -1, -1, -1*E(5)^-1, E(5), E(5), E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^2, E(5)^2, -1*E(5)^-2, -1*E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^-2, 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^-2, E(5), E(5)^2, E(5)^-1, 1, -1, -1, 1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^2, E(5)^-1, E(5)^-2, E(5), -1*E(5)^-1, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5), 1, E(5), E(5)^2, E(5)^-1, E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^-2, 1, 1, 1, -1, -1, -1, -1, E(5)^2, -1*E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5), -1*E(5), E(5)^-1, E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^2, -1*E(5)^-1, 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^2, E(5)^-1, E(5)^-2, E(5), 1, -1, -1, 1, E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5)^-2, E(5), E(5)^2, E(5)^-1, -1*E(5), -1*E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-1, 1, E(5)^-1, E(5)^-2, E(5), E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5)^2, 1, 1, 1, -1, -1, -1, -1, E(5)^-2, -1*E(5)^2, -1*E(5)^2, -1*E(5), E(5)^-2, E(5)^-1, E(5)^2, E(5), E(5)^-1, -1*E(5)^-1, E(5), E(5)^2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^-2, -1*E(5), 1, 1], [1, 1, 1, -1, -1, 1, 1, E(5)^-1, E(5)^-2, E(5), E(5)^2, 1, -1, -1, 1, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), E(5)^2, E(5)^-1, E(5)^-2, -1*E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5)^2, -1*E(5), -1*E(5)^-2, -1*E(5)^-2, 1, E(5)^-2, E(5), E(5)^2, E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5)^-1, 1, 1, 1, -1, -1, -1, -1, E(5), -1*E(5)^-1, -1*E(5)^-1, -1*E(5)^2, E(5), E(5)^-2, E(5)^-1, E(5)^2, 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-1*E(20)^9, -1*E(20)^7, E(20), E(20)^3, E(20)^9, -1*E(20), E(20), -1*E(20)^9, -1*E(20)^3, -1*E(20), E(20)^7, -1*E(20)^7, E(20)^9, -1, -1], [1, 1, 1, 1, -1, -1, -1, -1*E(20)^6, -1*E(20)^2, E(20)^4, E(20)^8, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, E(20)^4, -1*E(20)^6, -1*E(20)^2, E(20)^8, E(20)^4, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^8, -1*E(20)^4, -1*E(20)^6, E(20)^6, E(20)^8, E(20)^4, E(20)^2, -1*E(20)^2, 1, E(20)^2, -1*E(20)^4, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, 1, 1, 1, -1, 1, -1, 1, -1*E(20)^9, -1*E(20), E(20), E(20)^3, E(20)^9, -1*E(20)^7, -1*E(20), -1*E(20)^3, E(20)^7, -1*E(20)^7, E(20)^3, E(20), E(20)^7, -1*E(20)^9, E(20)^9, -1*E(20)^3, -1, -1], [1, 1, 1, 1, -1, -1, -1, E(20)^4, E(20)^8, -1*E(20)^6, -1*E(20)^2, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^6, E(20)^4, E(20)^8, -1*E(20)^2, -1*E(20)^6, -1*E(20)^2, E(20)^4, E(20)^8, E(20)^2, E(20)^6, E(20)^4, -1*E(20)^4, -1*E(20)^2, -1*E(20)^6, -1*E(20)^8, E(20)^8, 1, -1*E(20)^8, E(20)^6, E(20)^2, E(20)^2, E(20)^6, -1*E(20)^4, -1*E(20)^8, -1*E(20)^4, 1, 1, 1, -1, 1, -1, 1, E(20), E(20)^9, -1*E(20)^9, -1*E(20)^7, -1*E(20), E(20)^3, E(20)^9, E(20)^7, -1*E(20)^3, E(20)^3, -1*E(20)^7, -1*E(20)^9, -1*E(20)^3, E(20), -1*E(20), E(20)^7, -1, -1], [1, 1, 1, 1, -1, -1, -1, -1*E(20)^6, -1*E(20)^2, E(20)^4, E(20)^8, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^4, -1*E(20)^6, -1*E(20)^2, E(20)^8, E(20)^4, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^8, -1*E(20)^4, -1*E(20)^6, E(20)^6, E(20)^8, E(20)^4, E(20)^2, -1*E(20)^2, 1, E(20)^2, -1*E(20)^4, -1*E(20)^8, -1*E(20)^8, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^6, 1, 1, 1, -1, 1, -1, 1, E(20)^9, E(20), -1*E(20), -1*E(20)^3, -1*E(20)^9, E(20)^7, E(20), E(20)^3, -1*E(20)^7, E(20)^7, -1*E(20)^3, -1*E(20), -1*E(20)^7, E(20)^9, -1*E(20)^9, E(20)^3, -1, -1], [1, 1, 1, 1, -1, -1, -1, E(20)^4, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^6, E(20)^4, E(20)^8, -1*E(20)^2, -1*E(20)^6, -1*E(20)^2, E(20)^4, 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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], [4, -4, 0, 0, 0, 0, 0, 4*E(5)^2, 4*E(5)^-1, 4*E(5)^-2, 4*E(5), 0, 0, 0, 0, -4*E(5)^-2, -4*E(5)^2, -4*E(5)^-1, -4*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 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, 0, 0, 4*E(5)^-1, 4*E(5)^-2, 4*E(5), 4*E(5)^2, 0, 0, 0, 0, -4*E(5), -4*E(5)^-1, -4*E(5)^-2, -4*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 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, 0, 0, 4*E(5), 4*E(5)^2, 4*E(5)^-1, 4*E(5)^-2, 0, 0, 0, 0, -4*E(5)^-1, -4*E(5), -4*E(5)^2, -4*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 10, 10, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1], [10, 10, 10, -10, -10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1], [10, 10, 10, -10, 10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [10, 10, 10, 10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [10, 10, -10, 0, 0, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1], [10, 10, -10, 0, 0, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1], [10, 10, -10, 0, 0, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1], [10, 10, -10, 0, 0, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, -1-2*E(11)-2*E(11)^3-2*E(11)^4-2*E(11)^5-2*E(11)^-2, 1+2*E(11)+2*E(11)^3+2*E(11)^4+2*E(11)^5+2*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1], [20, -20, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -2-4*E(11)-4*E(11)^3-4*E(11)^4-4*E(11)^5-4*E(11)^-2, 2, 2+4*E(11)+4*E(11)^3+4*E(11)^4+4*E(11)^5+4*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, -20, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 2+4*E(11)+4*E(11)^3+4*E(11)^4+4*E(11)^5+4*E(11)^-2, 2, -2-4*E(11)-4*E(11)^3-4*E(11)^4-4*E(11)^5-4*E(11)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_1760_44);