# Group 240.173 downloaded from the LMFDB on 30 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(114650728147665920007,240); a := GPC.1; b := GPC.2; c := GPC.4;
GPerm := Group( (11,12)(13,14,15,16), (6,7)(8,9)(13,15)(14,16), (6,8)(7,9)(13,15)(14,16), (1,2,3,4,5), (13,15)(14,16), (10,11,12) );
GLZN := Group([[[ZmodnZObj(16,30), ZmodnZObj(15,30)], [ZmodnZObj(15,30), ZmodnZObj(1,30)]],[[ZmodnZObj(11,30), ZmodnZObj(0,30)], [ZmodnZObj(0,30), ZmodnZObj(11,30)]],[[ZmodnZObj(1,30), ZmodnZObj(6,30)], [ZmodnZObj(0,30), ZmodnZObj(1,30)]],[[ZmodnZObj(9,30), ZmodnZObj(10,30)], [ZmodnZObj(10,30), ZmodnZObj(9,30)]],[[ZmodnZObj(18,30), ZmodnZObj(25,30)], [ZmodnZObj(25,30), ZmodnZObj(18,30)]],[[ZmodnZObj(19,30), ZmodnZObj(0,30)], [ZmodnZObj(0,30), ZmodnZObj(19,30)]]]);

 
# Booleans 
booleans_240_173 := 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_240_173:=rec(); 
chartbl_240_173.IsFinite:= true; 
chartbl_240_173.UnderlyingCharacteristic:= 0; 
chartbl_240_173.UnderlyingGroup:= GPC;
chartbl_240_173.Size:= 240;
chartbl_240_173.InfoText:= "Character table for group 240.173 downloaded from the LMFDB."; 
chartbl_240_173.Identifier:= " C30.C2^3 "; 
chartbl_240_173.NrConjugacyClasses:= 120; 
chartbl_240_173.ConjugacyClasses:= [<identity> of ..., f3, f4*f5*f6^2, f3*f4*f5*f6^2, f1, f1*f4*f5*f6^2, f1*f3, f1*f3*f4*f5*f6^2, f5^2*f6, f2, f2*f3, f2*f4*f6^4, f2*f3*f4*f6^4, f1*f2, f1*f2*f3, f1*f2*f4*f6^4, f1*f2*f3*f4*f6^4, f6^4, f6, f6^3, f6^2, f4*f5^2, f3*f5^2*f6, f3*f4*f5^2, f1*f5^2*f6, f1*f4*f5^2, f1*f3*f5^2*f6, f1*f3*f4*f5^2, f3*f6^2, f3*f6^3, f3*f6, f3*f6^4, f4*f5, f4*f5*f6^4, f4*f5*f6, f4*f5*f6^3, f3*f4*f5, f3*f4*f5*f6^4, f3*f4*f5*f6, f3*f4*f5*f6^3, f1*f6, f1*f6^4, f1*f6^3, f1*f6^2, f1*f4*f5, f1*f4*f5*f6^4, f1*f4*f5*f6, f1*f4*f5*f6^3, f1*f3*f6, f1*f3*f6^4, f1*f3*f6^3, f1*f3*f6^2, f1*f3*f4*f5, f1*f3*f4*f5*f6^4, f1*f3*f4*f5*f6, f1*f3*f4*f5*f6^3, f5, f5^2*f6^4, f5^2, f5*f6^4, f2*f6, f2*f3*f5^2, f2*f3*f6^3, f2*f5, f2*f3*f5, f2*f6^3, f2*f5^2, f2*f3*f6, f2*f4, f2*f3*f4*f6^3, f2*f3*f4*f5, f2*f4*f6, f2*f3*f4*f6, f2*f4*f5, f2*f4*f6^3, f2*f3*f4, f1*f2*f6, f1*f2*f3*f5^2, f1*f2*f3*f6^3, f1*f2*f5, f1*f2*f3*f5, f1*f2*f6^3, f1*f2*f5^2, f1*f2*f3*f6, f1*f2*f4, f1*f2*f3*f4*f6^3, f1*f2*f3*f4*f5, f1*f2*f4*f6, f1*f2*f3*f4*f6, f1*f2*f4*f5, f1*f2*f4*f6^3, f1*f2*f3*f4, f4, f4*f6^3, f4*f6, f4*f6^2, f3*f5, f3*f5*f6, f3*f5^2, f3*f5^2*f6^2, f3*f4, f3*f4*f6^3, f3*f4*f6, f3*f4*f6^2, f1*f5, f1*f5*f6, f1*f5^2, f1*f5^2*f6^2, f1*f4, f1*f4*f6^3, f1*f4*f6, f1*f4*f6^2, f1*f3*f5, f1*f3*f5*f6, f1*f3*f5^2, f1*f3*f5^2*f6^2, f1*f3*f4, f1*f3*f4*f6^3, f1*f3*f4*f6, f1*f3*f4*f6^2];
chartbl_240_173.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];
chartbl_240_173.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 2, 2, 2, 2, 2, 2, 2, 2, 20, 21, 19, 18, 9, 9, 9, 9, 9, 9, 9, 18, 19, 21, 20, 19, 18, 20, 21, 19, 18, 20, 21, 21, 20, 19, 18, 19, 18, 20, 21, 21, 20, 19, 18, 19, 18, 20, 21, 59, 60, 58, 57, 29, 30, 31, 32, 32, 31, 30, 29, 29, 30, 31, 32, 32, 31, 30, 29, 29, 30, 31, 32, 32, 31, 30, 29, 29, 30, 31, 32, 32, 31, 30, 29, 57, 58, 59, 60, 59, 60, 58, 57, 57, 58, 59, 60, 59, 60, 58, 57, 57, 58, 59, 60, 59, 60, 58, 57, 57, 58, 59, 60], [1, 2, 3, 4, 5, 6, 7, 8, 1, 11, 10, 13, 12, 15, 14, 17, 16, 21, 20, 18, 19, 3, 2, 4, 5, 6, 7, 8, 31, 32, 30, 29, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 47, 48, 46, 45, 51, 52, 50, 49, 55, 56, 54, 53, 19, 18, 21, 20, 63, 64, 67, 68, 61, 62, 65, 66, 71, 72, 75, 76, 69, 70, 73, 74, 79, 80, 83, 84, 77, 78, 81, 82, 87, 88, 91, 92, 85, 86, 89, 90, 33, 34, 36, 35, 31, 32, 29, 30, 37, 38, 40, 39, 41, 42, 44, 43, 45, 46, 48, 47, 49, 50, 52, 51, 53, 54, 56, 55], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 1, 1, 1, 1, 22, 23, 24, 25, 26, 27, 28, 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, 11, 11, 10, 11, 10, 10, 11, 12, 13, 13, 12, 13, 12, 12, 13, 14, 15, 15, 14, 15, 14, 14, 15, 16, 17, 17, 16, 17, 16, 16, 17, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28]];
chartbl_240_173.SizesCentralizers:= [240, 240, 240, 240, 240, 240, 240, 240, 120, 80, 80, 80, 80, 80, 80, 80, 80, 240, 240, 240, 240, 120, 120, 120, 120, 120, 120, 120, 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, 120, 120, 120, 120, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120];
chartbl_240_173.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "4A1", "4A-1", "4B1", "4B-1", "4C1", "4C-1", "4D1", "4D-1", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "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", "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", "20C7", "20C-7", "20C9", "20C-9", "20D1", "20D-1", "20D3", "20D-3", "20D7", "20D-7", "20D9", "20D-9", "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"];
chartbl_240_173.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 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, 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, 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];
chartbl_240_173.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, 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E(20), -1*E(20)^3, -1*E(20)^9, -1*E(20)^7, -1*E(20), E(20)^7, E(20)^3, -1*E(20)^7, E(20)^9, -1*E(20)^3, E(20), -1*E(20)^9, -1*E(20)^4, E(20)^2, E(20)^4, E(20)^6, E(20)^8, -1*E(20)^6, -1*E(20)^2, -1*E(20)^8, -1*E(20)^8, E(20)^8, -1*E(20)^4, E(20)^6, E(20)^2, E(20)^8, -1*E(20)^8, E(20)^2, E(20)^4, -1*E(20)^6, E(20)^4, -1*E(20)^6, E(20)^6, -1*E(20)^2, -1*E(20)^4, E(20)^6, -1*E(20)^2, -1*E(20)^8, -1*E(20)^4, E(20)^2], [1, 1, 1, -1, -1, 1, -1, -1, 1, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, E(20)^5, -1*E(20)^5, -1*E(20)^6, -1*E(20)^2, E(20)^4, E(20)^8, 1, -1, -1, -1, -1, 1, 1, -1*E(20)^8, E(20)^6, E(20)^8, E(20)^4, -1*E(20)^4, -1*E(20)^2, -1*E(20)^6, -1*E(20)^6, -1*E(20)^4, -1*E(20)^2, E(20)^4, E(20)^2, E(20)^8, E(20)^2, E(20)^8, -1*E(20)^8, E(20)^6, -1*E(20)^6, -1*E(20)^4, E(20)^2, -1*E(20)^4, E(20)^2, -1*E(20)^8, E(20)^4, -1*E(20)^2, E(20)^6, -1*E(20)^8, E(20)^6, -1*E(20)^6, E(20)^4, -1*E(20)^2, E(20)^8, -1*E(20), E(20)^7, -1*E(20)^3, -1*E(20)^7, -1*E(20)^9, E(20)^9, 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2*E(5)^-2, 2*E(5), 2*E(5)^2, 1, 1, -1, 1, -1, 1, -1, 2*E(5)^2, -2*E(5)^-1, 2*E(5)^2, 2*E(5), 2*E(5), 2*E(5)^-2, 2*E(5)^-1, -2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^-1, -2*E(5), 2*E(5)^-2, 2*E(5), -2*E(5)^-2, 2*E(5)^2, -2*E(5), -2*E(5)^-2, 2*E(5)^-1, -2*E(5)^2, 2*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*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, -1*E(5)^-1, E(5)^2, E(5)^-1, E(5), -1*E(5)^-2, E(5), -1*E(5)^2, E(5)^-2, -1*E(5)^-2, E(5)^-2, -1*E(5)^-1, -1*E(5), -1*E(5)^2, E(5)^-2, -1*E(5)^-2, E(5)^2, -1*E(5)^-1, E(5), E(5)^-1, -1*E(5), -1*E(5), E(5)^2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-1, -1*E(5)^2], [2, -2, 2, 2, -2, -2, -2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 1, 1, -1, 1, -1, 1, -1, 2*E(5)^-2, -2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^2, 2*E(5), -2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, -2*E(5), -2*E(5), -2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 2*E(5), -2*E(5)^-2, 2*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*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, -1*E(5), E(5)^-2, E(5), E(5)^-1, -1*E(5)^2, E(5)^-1, -1*E(5)^-2, E(5)^2, -1*E(5)^2, E(5)^2, -1*E(5), -1*E(5)^-1, -1*E(5)^-2, E(5)^2, -1*E(5)^2, E(5)^-2, -1*E(5), E(5)^-1, E(5), -1*E(5)^-1, -1*E(5)^-1, E(5)^-2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5), -1*E(5)^-2], [2, 2, -2, -2, -2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 1, 1, 1, -1, -1, -1, 1, -2*E(5)^-1, -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), -2*E(5)^2, -2*E(5), 2*E(5)^-1, -2*E(5), -2*E(5)^-1, 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-2, 2*E(5)^2, 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)^-1, -2*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*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, -1*E(5)^-2, -1*E(5)^-1, E(5)^-2, E(5)^2, E(5), -1*E(5)^2, E(5)^-1, E(5), -1*E(5), -1*E(5), E(5)^-2, E(5)^2, E(5)^-1, E(5), E(5), E(5)^-1, E(5)^-2, E(5)^2, -1*E(5)^-2, E(5)^2, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5)^2, E(5)^-1, -1*E(5), E(5)^-2, -1*E(5)^-1], [2, 2, -2, -2, -2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 1, 1, 1, -1, -1, -1, 1, -2*E(5), -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)^-1, -2*E(5)^-2, -2*E(5)^-1, 2*E(5), -2*E(5)^-1, -2*E(5), 2*E(5), 2*E(5)^2, -2*E(5)^2, 2*E(5)^-2, 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), -2*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*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, -1*E(5)^2, -1*E(5), E(5)^2, E(5)^-2, E(5)^-1, -1*E(5)^-2, E(5), E(5)^-1, -1*E(5)^-1, -1*E(5)^-1, E(5)^2, E(5)^-2, E(5), E(5)^-1, E(5)^-1, E(5), E(5)^2, E(5)^-2, -1*E(5)^2, E(5)^-2, -1*E(5)^-2, -1*E(5), -1*E(5)^2, -1*E(5)^-2, E(5), -1*E(5)^-1, E(5)^2, -1*E(5)], [2, 2, -2, -2, -2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 1, 1, 1, -1, -1, -1, 1, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, -2*E(5), -2*E(5), -2*E(5)^-2, -2*E(5)^-1, 2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5), -2*E(5)^-2, 2*E(5)^2, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5)^-2, 2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*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, -1*E(5)^-1, -1*E(5)^2, E(5)^-1, E(5), E(5)^-2, -1*E(5), E(5)^2, E(5)^-2, -1*E(5)^-2, -1*E(5)^-2, E(5)^-1, E(5), E(5)^2, E(5)^-2, E(5)^-2, E(5)^2, E(5)^-1, E(5), -1*E(5)^-1, E(5), -1*E(5), -1*E(5)^2, -1*E(5)^-1, -1*E(5), E(5)^2, -1*E(5)^-2, E(5)^-1, -1*E(5)^2], [2, 2, -2, -2, -2, -2, 2, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 1, 1, 1, -1, -1, -1, 1, -2*E(5)^-2, -2*E(5), -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^-1, -2*E(5)^2, -2*E(5), 2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^2, -2*E(5)^-2, 2*E(5)^-2, 2*E(5), -2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 2*E(5), -2*E(5)^-2, -2*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*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, -1*E(5), -1*E(5)^-2, E(5), E(5)^-1, E(5)^2, -1*E(5)^-1, E(5)^-2, E(5)^2, -1*E(5)^2, -1*E(5)^2, E(5), E(5)^-1, E(5)^-2, E(5)^2, E(5)^2, E(5)^-2, E(5), E(5)^-1, -1*E(5), E(5)^-1, -1*E(5)^-1, -1*E(5)^-2, -1*E(5), -1*E(5)^-1, E(5)^-2, -1*E(5)^2, E(5), -1*E(5)^-2], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 2*E(5)^-1, -1, 1, 1, 1, 1, -1, -1, -2*E(5)^-1, -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), 2*E(5)^2, -2*E(5), 2*E(5)^-1, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^-2, -2*E(5)^2, -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)^-1, -2*E(5)^-2, -1*E(5)^-2, -1*E(5)^2, -1*E(5), -1*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, E(5)^-2, E(5)^-1, -1*E(5)^-2, E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5)^-1, E(5), E(5), -1*E(5), E(5)^-2, E(5)^2, E(5)^-1, -1*E(5), E(5), E(5)^-1, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^2, E(5)^2, -1*E(5)^-1, E(5)^-2, E(5)^2, -1*E(5)^-1, E(5), E(5)^-2, E(5)^-1], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), -1, 1, 1, 1, 1, -1, -1, -2*E(5), -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)^-1, 2*E(5)^-2, -2*E(5)^-1, 2*E(5), -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5)^2, 2*E(5)^2, -2*E(5)^-2, -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), -2*E(5)^2, -1*E(5)^2, -1*E(5)^-2, -1*E(5)^-1, -1*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, E(5)^2, E(5), -1*E(5)^2, E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, -1*E(5), E(5)^-1, E(5)^-1, -1*E(5)^-1, E(5)^2, E(5)^-2, E(5), -1*E(5)^-1, E(5)^-1, E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^2, -1*E(5)^-2, E(5)^-2, -1*E(5), E(5)^2, E(5)^-2, -1*E(5), E(5)^-1, E(5)^2, E(5)], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5)^2, -1, 1, 1, 1, 1, -1, -1, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^2, 2*E(5), -2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5)^-1, -2*E(5), 2*E(5)^-2, 2*E(5), -2*E(5)^-2, 2*E(5)^2, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^-1, -2*E(5), -2*E(5)^-2, -2*E(5), -2*E(5)^-2, -2*E(5)^2, 2*E(5), 2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, -1*E(5)^-1, -1*E(5), -1*E(5)^-2, -1*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, E(5)^-1, E(5)^2, -1*E(5)^-1, E(5), -1*E(5)^-2, -1*E(5), -1*E(5)^2, E(5)^-2, E(5)^-2, -1*E(5)^-2, E(5)^-1, E(5), E(5)^2, -1*E(5)^-2, E(5)^-2, E(5)^2, -1*E(5)^-1, -1*E(5), -1*E(5)^-1, -1*E(5), E(5), -1*E(5)^2, E(5)^-1, E(5), -1*E(5)^2, E(5)^-2, E(5)^-1, E(5)^2], [2, 2, 2, -2, -2, 2, -2, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, -1, 1, 1, 1, 1, -1, -1, -2*E(5)^-2, -2*E(5), 2*E(5)^-2, 2*E(5)^-1, -2*E(5)^-1, 2*E(5)^2, 2*E(5), 2*E(5), -2*E(5)^-1, 2*E(5)^2, 2*E(5)^-1, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5), 2*E(5), -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, -2*E(5), -2*E(5)^-2, -2*E(5), -1*E(5), -1*E(5)^-1, -1*E(5)^2, -1*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, E(5), E(5)^-2, -1*E(5), E(5)^-1, -1*E(5)^2, -1*E(5)^-1, -1*E(5)^-2, E(5)^2, E(5)^2, -1*E(5)^2, E(5), E(5)^-1, E(5)^-2, -1*E(5)^2, E(5)^2, E(5)^-2, -1*E(5), -1*E(5)^-1, -1*E(5), -1*E(5)^-1, E(5)^-1, -1*E(5)^-2, E(5), E(5)^-1, -1*E(5)^-2, E(5)^2, E(5), E(5)^-2]];
ConvertToLibraryCharacterTableNC(chartbl_240_173);