# Group 720.256 downloaded from the LMFDB on 20 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(1769212197941587398547386785284119,720); a := GPC.1; b := GPC.3; c := GPC.6;
GPerm := Group( (4,5)(6,7)(14,15)(16,17,18,19), (2,3)(4,6,5,7), (8,9,10,11,12), (4,5)(6,7), (16,18)(17,19), (1,2,3), (13,14,15) );
GLZN := Group([[[ZmodnZObj(23,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(23,44)]],[[ZmodnZObj(37,44), ZmodnZObj(20,44)], [ZmodnZObj(36,44), ZmodnZObj(29,44)]],[[ZmodnZObj(9,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(9,44)]],[[ZmodnZObj(15,44), ZmodnZObj(5,44)], [ZmodnZObj(31,44), ZmodnZObj(28,44)]],[[ZmodnZObj(21,44), ZmodnZObj(33,44)], [ZmodnZObj(22,44), ZmodnZObj(43,44)]],[[ZmodnZObj(21,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(21,44)]],[[ZmodnZObj(23,44), ZmodnZObj(33,44)], [ZmodnZObj(11,44), ZmodnZObj(12,44)]]]);

 
# Booleans 
booleans_720_256 := 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_720_256:=rec(); 
chartbl_720_256.IsFinite:= true; 
chartbl_720_256.UnderlyingCharacteristic:= 0; 
chartbl_720_256.UnderlyingGroup:= GPC;
chartbl_720_256.Size:= 720;
chartbl_720_256.InfoText:= "Character table for group 720.256 downloaded from the LMFDB."; 
chartbl_720_256.Identifier:= " C5*C3^2:C4^2 "; 
chartbl_720_256.NrConjugacyClasses:= 180; 
chartbl_720_256.ConjugacyClasses:= [<identity> of ..., f2*f4*f5, f4*f5, f2, f6*f7^3, f5, f5^2*f6*f7^3, f3*f4, f3*f5^2, f1*f2, f1, f2*f3*f4, f2*f3*f5^2, f1*f2*f4, f1*f4, f1*f3, f1*f2*f3*f4*f5, f1*f3*f4, f1*f2*f3*f5^2, f7^4, f7, f7^3, f7^2, f4*f5*f6^2*f7, f2*f5^2, f2*f4*f5^2, f2*f4*f5*f6^2*f7, f4*f5^2, f2*f6*f7^3, f4*f5^2*f6^2*f7, f2*f5^2*f6^2*f7, f2*f4*f5^2*f6^2*f7, f2*f4*f5*f7^2, f2*f4*f5*f7^3, f2*f4*f5*f7, f2*f4*f5*f7^4, f4*f5*f7, f4*f5*f7^4, f4*f5*f7^3, f4*f5*f7^2, f2*f7^3, f2*f7^2, f2*f7^4, f2*f7, f3*f5, f3*f4*f5, f1*f6^2*f7, f1*f2*f6*f7^3, f2*f3*f5, f2*f3*f4*f5, f1*f4*f6^2*f7, f1*f2*f4*f6*f7^3, f6^2, f6*f7^4, f6*f7, f6^2*f7^3, f5^2*f7^2, f5*f7^3, f5*f7^4, f5^2*f7, f5*f6^2, f5^2*f6*f7^4, f5^2*f6*f7, f5*f6^2*f7^3, f3*f4*f7^3, f3*f5^2*f7^2, f3*f5^2*f7^4, f3*f4*f7, f3*f5^2*f7, f3*f4*f7^4, f3*f4*f7^2, f3*f5^2*f7^3, f1*f2*f7, f1*f7^4, f1*f7^3, f1*f2*f7^2, f1*f7^2, f1*f2*f7^3, f1*f2*f7^4, f1*f7, f2*f3*f4*f7^3, f2*f3*f5^2*f7^2, f2*f3*f5^2*f7^4, f2*f3*f4*f7, f2*f3*f5^2*f7, f2*f3*f4*f7^4, f2*f3*f4*f7^2, f2*f3*f5^2*f7^3, f1*f2*f4*f7, f1*f4*f7^4, f1*f4*f7^3, f1*f2*f4*f7^2, f1*f4*f7^2, f1*f2*f4*f7^3, f1*f2*f4*f7^4, f1*f4*f7, f1*f3*f7, f1*f2*f3*f4*f6^2, f1*f2*f3*f4*f7^3, f1*f3*f6, f1*f2*f3*f4*f6, f1*f3*f7^3, f1*f3*f6^2, f1*f2*f3*f4*f7, f1*f3*f4*f7, f1*f2*f3*f6^2, f1*f2*f3*f7^3, f1*f3*f4*f6, f1*f2*f3*f6, f1*f3*f4*f7^3, f1*f3*f4*f6^2, f1*f2*f3*f7, f4*f5*f6, f4*f5*f6*f7, f4*f5*f6^2, f4*f5*f6^2*f7^2, f2*f5*f7, f2*f5*f7^4, f2*f5*f7^2, f2*f5*f7^3, f2*f4*f7, f2*f4*f7^4, f2*f4*f7^2, f2*f4*f7^3, f2*f4*f5*f6, f2*f4*f5*f6*f7, f2*f4*f5*f6^2, f2*f4*f5*f6^2*f7^2, f4*f7^2, f4*f5^2*f7^3, f4*f7^4, f4*f5^2*f7, f2*f6^2, f2*f6*f7^4, f2*f6^2*f7^4, f2*f6, f4*f6, f4*f6*f7, f4*f6^2, f4*f6^2*f7^2, f2*f5*f6, f2*f5*f6*f7, f2*f5*f6^2, f2*f5*f6^2*f7^2, f2*f4*f6, f2*f4*f6*f7, f2*f4*f6^2, f2*f4*f6^2*f7^2, f3*f7, f3*f4*f5*f6^2, f3*f4*f5*f6, f3*f7^3, f3*f4*f5*f7, f3*f6^2, f3*f6, f3*f4*f5*f7^3, f1*f6, f1*f2*f6*f7, f1*f2*f6^2, f1*f6^2*f7^2, f1*f2*f6, f1*f6*f7, f1*f6^2, f1*f2*f6^2*f7^2, f2*f3*f7, f2*f3*f4*f5*f6^2, f2*f3*f4*f5*f6, f2*f3*f7^3, f2*f3*f4*f5*f7, f2*f3*f6^2, f2*f3*f6, f2*f3*f4*f5*f7^3, f1*f4*f6, f1*f2*f4*f6*f7, f1*f2*f4*f6^2, f1*f4*f6^2*f7^2, f1*f2*f4*f6, f1*f4*f6*f7, f1*f4*f6^2, f1*f2*f4*f6^2*f7^2];
chartbl_720_256.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];
chartbl_720_256.ComputedPowerMaps:= [ , [1, 1, 1, 1, 5, 6, 7, 3, 3, 4, 4, 3, 3, 4, 4, 2, 2, 2, 2, 22, 23, 21, 20, 5, 6, 6, 5, 6, 5, 7, 7, 7, 20, 21, 23, 22, 23, 22, 21, 20, 21, 20, 22, 23, 28, 28, 29, 29, 28, 28, 29, 29, 55, 56, 54, 53, 59, 60, 58, 57, 63, 64, 62, 61, 37, 38, 39, 40, 40, 39, 38, 37, 42, 41, 44, 43, 43, 44, 41, 42, 37, 38, 39, 40, 40, 39, 38, 37, 42, 41, 44, 43, 43, 44, 41, 42, 33, 34, 35, 36, 36, 35, 34, 33, 33, 34, 35, 36, 36, 35, 34, 33, 53, 54, 55, 56, 57, 58, 59, 60, 57, 58, 59, 60, 53, 54, 55, 56, 59, 60, 58, 57, 55, 56, 54, 53, 61, 62, 63, 64, 61, 62, 63, 64, 61, 62, 63, 64, 129, 130, 131, 132, 129, 130, 131, 132, 133, 134, 135, 136, 133, 134, 135, 136, 129, 130, 131, 132, 129, 130, 131, 132, 133, 134, 135, 136, 133, 134, 135, 136], [1, 2, 3, 4, 1, 1, 1, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 19, 18, 23, 22, 20, 21, 3, 4, 2, 2, 3, 4, 3, 4, 2, 35, 36, 34, 33, 39, 40, 38, 37, 43, 44, 42, 41, 8, 9, 10, 11, 12, 13, 14, 15, 23, 22, 20, 21, 21, 20, 23, 22, 23, 22, 20, 21, 67, 68, 71, 72, 65, 66, 69, 70, 75, 76, 79, 80, 73, 74, 77, 78, 83, 84, 87, 88, 81, 82, 85, 86, 91, 92, 95, 96, 89, 90, 93, 94, 99, 100, 103, 104, 97, 98, 101, 102, 107, 108, 111, 112, 105, 106, 109, 110, 37, 38, 40, 39, 41, 42, 44, 43, 34, 33, 35, 36, 35, 36, 33, 34, 37, 38, 40, 39, 42, 41, 43, 44, 37, 38, 40, 39, 44, 43, 42, 41, 35, 36, 33, 34, 65, 66, 69, 70, 72, 71, 68, 67, 73, 74, 77, 78, 80, 79, 76, 75, 81, 82, 85, 86, 88, 87, 84, 83, 89, 90, 93, 94, 96, 95, 92, 91], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1, 1, 1, 1, 24, 25, 26, 27, 28, 29, 30, 31, 32, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 45, 46, 47, 48, 49, 50, 51, 52, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 9, 9, 8, 9, 8, 8, 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, 18, 19, 19, 18, 19, 18, 18, 19, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 32, 32, 45, 46, 46, 45, 46, 45, 45, 46, 47, 48, 48, 47, 48, 47, 47, 48, 49, 50, 50, 49, 50, 49, 49, 50, 51, 52, 52, 51, 52, 51, 51, 52]];
chartbl_720_256.SizesCentralizers:= [720, 720, 720, 720, 360, 360, 180, 240, 240, 240, 240, 240, 240, 240, 240, 80, 80, 80, 80, 720, 720, 720, 720, 360, 360, 360, 360, 360, 360, 180, 180, 180, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 120, 120, 120, 120, 120, 120, 120, 120, 360, 360, 360, 360, 360, 360, 360, 360, 180, 180, 180, 180, 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, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 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, 120, 120, 120, 120];
chartbl_720_256.ClassNames:= ["1A", "2A", "2B", "2C", "3A", "3B", "3C", "4A1", "4A-1", "4B1", "4B-1", "4C1", "4C-1", "4D1", "4D-1", "4E1", "4E-1", "4F1", "4F-1", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "15A1", "15A-1", "15A2", "15A-2", "15B1", "15B-1", "15B2", "15B-2", "15C1", "15C-1", "15C2", "15C-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", "20E1", "20E-1", "20E3", "20E-3", "20E7", "20E-7", "20E9", "20E-9", "20F1", "20F-1", "20F3", "20F-3", "20F7", "20F-7", "20F9", "20F-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", "30H1", "30H-1", "30H7", "30H-7", "30I1", "30I-1", "30I7", "30I-7", "60A1", "60A-1", "60A7", "60A-7", "60A11", "60A-11", "60A17", "60A-17", "60B1", "60B-1", "60B7", "60B-7", "60B11", "60B-11", "60B17", "60B-17", "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_720_256.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 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, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 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, 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_720_256.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, 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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, -1, 1, -1, -4*E(5)^2, -4*E(5)^-2, -4*E(5)^-2, 4*E(5)^2, 4*E(5), -4*E(5)^-1, -4*E(5)^-1, 4*E(5)^-2, -4*E(5), -4*E(5), 4*E(5)^-1, -4*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -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), E(5)^2, E(5)^-1, 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, 2*E(5)^-2, 2*E(5), 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)^2, 2*E(5)^-1, -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, 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, -2*E(5)^2, -2*E(5), -2*E(5), -2*E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, E(5)^-2, -1*E(5)^-1, -1*E(5), E(5)^2, -1*E(5), -1*E(5)^2, -1*E(5)^-2, -1*E(5)^2, E(5), 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], [4, -4, 4, -4, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^-2, 4*E(5)^2, 4*E(5), 4*E(5)^-1, -2, 2, 2, 2, 2, -2, 1, -1, -1, -4*E(5), -4*E(5)^-1, 4*E(5)^-1, -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)^-2, -4*E(5)^2, 4*E(5), 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-2, -2*E(5)^2, -2*E(5)^2, -2*E(5), -2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, E(5), E(5)^2, E(5)^-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, 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*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-1, -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, -2*E(5), -2*E(5)^2, -2*E(5), -2*E(5)^-1, 2*E(5), 2*E(5)^-2, 2*E(5)^-2, 2*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), E(5)^-2, E(5), 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], [4, -4, 4, -4, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^2, 4*E(5)^-2, 4*E(5)^-1, 4*E(5), -2, 2, 2, 2, 2, -2, 1, -1, -1, -4*E(5)^-1, -4*E(5), 4*E(5), -4*E(5)^-1, -4*E(5)^2, 4*E(5)^-2, -4*E(5)^-2, -4*E(5), 4*E(5)^2, -4*E(5)^2, -4*E(5)^-2, 4*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), -2*E(5), -2*E(5)^2, E(5)^-1, E(5)^-2, E(5), 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, 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)^-1, -2*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5), -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, -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^-1, -2*E(5), 2*E(5)^-1, 2*E(5)^2, 2*E(5)^2, 2*E(5), -1*E(5), -1*E(5)^-2, -1*E(5), E(5)^-2, -1*E(5)^2, -1*E(5)^-1, E(5)^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], [4, -4, 4, -4, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^-1, 4*E(5), 4*E(5)^-2, 4*E(5)^2, -2, 2, 2, 2, 2, -2, 1, -1, -1, -4*E(5)^-2, -4*E(5)^2, 4*E(5)^2, -4*E(5)^-2, -4*E(5)^-1, 4*E(5), -4*E(5), -4*E(5)^2, 4*E(5)^-1, -4*E(5)^-1, -4*E(5), 4*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -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, E(5)^-2, E(5), 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, -2*E(5)^2, 2*E(5)^-1, 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)^-2, 2*E(5), 2*E(5), 2*E(5)^2, 2*E(5), -2*E(5)^-1, 2*E(5), 2*E(5)^-1, -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, 2*E(5)^2, -1*E(5)^2, -1*E(5), -1*E(5)^2, E(5), -1*E(5)^-1, -1*E(5)^-2, E(5)^-1, E(5)^-2, 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], [4, -4, 4, -4, -2, -2, 1, 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, 1, -1, -1, -4*E(5)^2, -4*E(5)^-2, 4*E(5)^-2, -4*E(5)^2, -4*E(5), 4*E(5)^-1, -4*E(5)^-1, -4*E(5)^-2, 4*E(5), -4*E(5), -4*E(5)^-1, 4*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -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), E(5)^2, E(5)^-1, 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, -2*E(5)^-2, 2*E(5), 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)^2, 2*E(5)^-1, 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, -2*E(5)^-1, -2*E(5)^2, -2*E(5)^-2, 2*E(5)^2, 2*E(5), 2*E(5), 2*E(5)^-2, -1*E(5)^-2, -1*E(5)^-1, -1*E(5)^-2, E(5)^-1, -1*E(5), -1*E(5)^2, E(5), E(5)^2, 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]];
ConvertToLibraryCharacterTableNC(chartbl_720_256);