# Group 576.2207 downloaded from the LMFDB on 31 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(61603312994616169333251018122693339913,576); a := GPC.1; b := GPC.4; c := GPC.6;
GPerm := Group( (1,2)(3,4)(6,7)(8,9)(10,12)(11,13)(14,15), (8,10,11,14,9,12,13,15)(17,18), (1,3,4,2)(8,9)(10,12)(11,13)(14,15), (8,11,9,13)(10,14,12,15), (1,4)(2,3), (8,9)(10,12)(11,13)(14,15), (16,17,18), (5,6,7) );
GLZN := Group([[[ZmodnZObj(7,30), ZmodnZObj(0,30)], [ZmodnZObj(0,30), ZmodnZObj(7,30)]],[[ZmodnZObj(4,30), ZmodnZObj(15,30)], [ZmodnZObj(25,30), ZmodnZObj(14,30)]],[[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(22,30), ZmodnZObj(9,30)], [ZmodnZObj(1,30), ZmodnZObj(8,30)]],[[ZmodnZObj(13,30), ZmodnZObj(10,30)], [ZmodnZObj(10,30), ZmodnZObj(23,30)]],[[ZmodnZObj(19,30), ZmodnZObj(0,30)], [ZmodnZObj(0,30), ZmodnZObj(19,30)]],[[ZmodnZObj(13,30), ZmodnZObj(12,30)], [ZmodnZObj(6,30), ZmodnZObj(1,30)]]]);

 
# Booleans 
booleans_576_2207 := 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_576_2207:=rec(); 
chartbl_576_2207.IsFinite:= true; 
chartbl_576_2207.UnderlyingCharacteristic:= 0; 
chartbl_576_2207.UnderlyingGroup:= GPC;
chartbl_576_2207.Size:= 576;
chartbl_576_2207.InfoText:= "Character table for group 576.2207 downloaded from the LMFDB."; 
chartbl_576_2207.Identifier:= " C4^2.S3^2 "; 
chartbl_576_2207.NrConjugacyClasses:= 108; 
chartbl_576_2207.ConjugacyClasses:= [<identity> of ..., f3, f7*f8, f3*f7*f8, f4*f5, f4*f5*f6, f3*f4*f5, f3*f4*f5*f6, f5, f8, f5*f8, f2, f2*f3, f2*f3*f7*f8, f2*f7*f8, f6*f7, f3*f6*f7, f2*f3*f6*f7, f2*f6*f8^2, f2*f3*f4*f5, f2*f4*f5, f2*f3*f4*f5*f6, f2*f4*f5*f6, f7, f3*f5^2, f3*f7, f5^2*f7*f8, f3*f5^2*f7*f8, f3*f8, f5^2*f7, f3*f5^2*f8^2, f3*f5^2*f7, f4, f4*f6, f3*f4, f3*f4*f6, f1*f2, f1*f3, f1, f1*f2*f3, f1*f2*f7*f8, f1*f3*f7*f8, f1*f7*f8, f1*f2*f3*f7*f8, f1*f2*f6*f7, f1*f3*f6*f8^2, f1*f6*f8^2, f1*f2*f3*f6*f7, f1*f4, f1*f2*f3*f4, f1*f2*f4, f1*f3*f4, f1*f4*f6, f1*f2*f3*f4*f6, f1*f2*f4*f6, f1*f3*f4*f6, f6, f6*f8, f3*f6, f3*f6*f8, f2*f5, f2*f3*f5, f2*f5*f7*f8, f2*f3*f5*f7*f8, f2*f8^2, f2*f3*f8, f2*f7, f2*f3*f7*f8^2, f2*f6, f2*f3*f6, f2*f6*f8, f2*f3*f6*f8, f5*f6*f7, f3*f5*f6*f7, f5*f6, f5*f6*f8, f3*f5*f6, f3*f5*f6*f8, f2*f5*f8, f2*f3*f5*f8, f2*f5*f7, f2*f3*f5*f7, f2*f5*f6*f7, f2*f3*f5*f6*f7, f2*f5*f6, f2*f3*f5*f6, f2*f5*f6*f8, f2*f3*f5*f6*f8, f2*f4, f2*f3*f4, f2*f4*f6, f2*f3*f4*f6, f1*f8, f1*f2*f3*f8, f1*f3*f8, f1*f2*f8, f1*f7, f1*f2*f3*f7, f1*f3*f7, f1*f2*f7, f1*f6, f1*f2*f3*f6, f1*f3*f6*f8, f1*f2*f6*f8, f1*f2*f3*f6*f8, f1*f6*f8, f1*f2*f6, f1*f3*f6];
chartbl_576_2207.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];
chartbl_576_2207.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 9, 10, 11, 2, 2, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 10, 9, 10, 9, 9, 10, 11, 11, 11, 9, 9, 9, 9, 13, 12, 12, 13, 13, 12, 12, 13, 14, 15, 15, 14, 12, 13, 13, 12, 12, 13, 13, 12, 24, 24, 24, 24, 25, 25, 25, 25, 29, 29, 29, 29, 26, 26, 26, 26, 27, 27, 30, 30, 30, 30, 31, 31, 31, 31, 28, 28, 32, 32, 32, 32, 25, 25, 25, 25, 65, 66, 65, 66, 65, 66, 65, 66, 67, 68, 67, 68, 68, 67, 68, 67], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 13, 12, 15, 14, 16, 17, 19, 18, 21, 20, 23, 22, 3, 2, 4, 3, 4, 2, 3, 2, 4, 5, 6, 7, 8, 39, 40, 37, 38, 43, 44, 41, 42, 47, 48, 45, 46, 51, 52, 49, 50, 55, 56, 53, 54, 16, 16, 17, 17, 13, 12, 14, 15, 13, 12, 14, 15, 18, 19, 18, 19, 16, 17, 16, 16, 17, 17, 13, 12, 14, 15, 18, 19, 18, 19, 18, 19, 20, 21, 22, 23, 37, 38, 40, 39, 41, 42, 44, 43, 45, 46, 48, 47, 46, 45, 47, 48]];
chartbl_576_2207.SizesCentralizers:= [576, 576, 576, 576, 96, 96, 96, 96, 288, 288, 144, 576, 576, 576, 576, 288, 288, 288, 288, 96, 96, 96, 96, 288, 288, 288, 288, 288, 288, 144, 144, 144, 48, 48, 48, 48, 192, 192, 192, 192, 192, 192, 192, 192, 96, 96, 96, 96, 32, 32, 32, 32, 32, 32, 32, 32, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 48, 48, 48, 48, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96];
chartbl_576_2207.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "3A", "3B", "3C", "4A1", "4A-1", "4B1", "4B-1", "4C", "4D", "4E1", "4E-1", "4F1", "4F-1", "4G1", "4G-1", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8B3", "8B-3", "8C1", "8C-1", "8C3", "8C-3", "8D1", "8D-1", "8D3", "8D-3", "8E1", "8E-1", "8E3", "8E-3", "12A1", "12A5", "12B1", "12B5", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1", "12G5", "12G-5", "12H", "12I", "12J1", "12J5", "12K1", "12K5", "12L1", "12L-1", "12M1", "12M-1", "12N1", "12N-1", "12O1", "12O-1", "12O5", "12O-5", "12P1", "12P-1", "12Q1", "12Q-1", "24A1", "24A-1", "24A5", "24A-5", "24B1", "24B-1", "24B5", "24B-5", "24C1", "24C-1", "24C5", "24C-5", "24C7", "24C-7", "24C11", "24C-11"];
chartbl_576_2207.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24];
chartbl_576_2207.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, 1, -1, -1, -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), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), -1*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, 1, 1, 1, E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), E(4), -1*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, -1, -1, -1, -1, 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*E(4), -1*E(4), E(4), E(4), -1*E(4), -1*E(4), 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, 1, 1, 1, 1, -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4)], [1, 1, 1, 1, -1, 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-1*E(8)^3, E(8), E(8), -1*E(8)], [1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, -1, E(8)^2, 1, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1*E(8)^3, -1*E(8), E(8)^3, E(8), E(8)^3, E(8), -1*E(8)^3, -1*E(8), E(8), -1*E(8)^3, E(8)^3, -1*E(8), E(8)^3, E(8), -1*E(8), -1*E(8)^3, E(8)^3, -1*E(8), E(8), -1*E(8)^3, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, E(8)^2, -1, E(8)^2, 1, 1, -1*E(8)^2, -1*E(8)^2, -1*E(8)^2, -1, E(8)^2, -1*E(8)^2, E(8)^2, -1, E(8)^2, 1, -1*E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1, 1, -1*E(8)^2, -1, E(8)^2, 1, -1*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1*E(8)^2, E(8), E(8), -1*E(8)^3, -1*E(8), E(8), E(8)^3, -1*E(8), E(8), E(8)^3, -1*E(8)^3, -1*E(8)^3, -1*E(8), -1*E(8), E(8)^3, E(8)^3, -1*E(8)^3], [1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, E(8)^2, -1*E(8)^2, -1*E(8)^2, E(8)^2, -1, -1*E(8)^2, 1, E(8)^2, E(8)^2, -1*E(8)^2, E(8)^2, -1*E(8)^2, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 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-1*E(8), E(8), -1*E(8), E(8)^3, -1*E(8)^3, -1*E(8), E(8), E(8)], [2, -2, 2, -2, 0, 0, 0, 0, 2, -1, -1, -2*E(8)^2, 2*E(8)^2, 2*E(8)^2, -2*E(8)^2, 2, -2*E(8)^2, -2, 2*E(8)^2, 0, 0, 0, 0, -2, 1, 1, -1, 2, -2, 1, 1, -1, 0, 0, 0, 0, -2*E(8)^3, -2*E(8), 2*E(8)^3, 2*E(8), 2*E(8)^3, 2*E(8), -2*E(8)^3, -2*E(8), -2*E(8), 2*E(8)^3, -2*E(8)^3, 2*E(8), 0, 0, 0, 0, 0, 0, 0, 0, -1*E(8)^2, -1*E(8)^2, -2*E(8)^2, -1*E(8)^2, E(8)^2, 2*E(8)^2, -1, E(8)^2, 1, 1, E(8)^2, -1*E(8)^2, -2*E(8)^2, -1, 2*E(8)^2, E(8)^2, E(8)^2, 2, -1*E(8)^2, 1, 2*E(8)^2, -2*E(8)^2, E(8)^2, -1*E(8)^2, -1*E(8)^2, -1, -2, -1*E(8)^2, -1, E(8)^2, 1, E(8)^2, 0, 0, 0, 0, -1*E(8), -1*E(8), -1*E(8)^3, -1*E(8), E(8), E(8)^3, E(8), E(8), -1*E(8)^3, E(8)^3, -1*E(8)^3, E(8), -1*E(8), -1*E(8)^3, E(8)^3, E(8)^3], [2, -2, 2, -2, 0, 0, 0, 0, 2, -1, -1, 2*E(8)^2, -2*E(8)^2, -2*E(8)^2, 2*E(8)^2, 2, 2*E(8)^2, -2, -2*E(8)^2, 0, 0, 0, 0, -2, 1, 1, -1, 2, -2, 1, 1, -1, 0, 0, 0, 0, 2*E(8), 2*E(8)^3, -2*E(8), -2*E(8)^3, -2*E(8), -2*E(8)^3, 2*E(8), 2*E(8)^3, 2*E(8)^3, -2*E(8), 2*E(8), -2*E(8)^3, 0, 0, 0, 0, 0, 0, 0, 0, E(8)^2, E(8)^2, 2*E(8)^2, E(8)^2, -1*E(8)^2, -2*E(8)^2, -1, -1*E(8)^2, 1, 1, -1*E(8)^2, E(8)^2, 2*E(8)^2, -1, -2*E(8)^2, -1*E(8)^2, -1*E(8)^2, 2, E(8)^2, 1, -2*E(8)^2, 2*E(8)^2, -1*E(8)^2, E(8)^2, E(8)^2, -1, -2, E(8)^2, -1, -1*E(8)^2, 1, -1*E(8)^2, 0, 0, 0, 0, E(8)^3, E(8)^3, E(8), E(8)^3, -1*E(8)^3, -1*E(8), -1*E(8)^3, -1*E(8)^3, E(8), -1*E(8), E(8), -1*E(8)^3, E(8)^3, E(8), -1*E(8), -1*E(8)], [2, -2, -2, 2, 0, 0, 0, 0, 2, -1, -1, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 1, 1, -2, -2, 1, -1, 1, 0, 0, 0, 0, -2*E(24)^3, -2*E(24)^9, -2*E(24)^3, -2*E(24)^9, 2*E(24)^3, 2*E(24)^9, 2*E(24)^3, 2*E(24)^9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1-2*E(24)^4, -1*E(24)^6, 2*E(24)^6, E(24)^6, -1+2*E(24)^4, -2*E(24)^6, -1*E(24)^2-E(24)^-2, 1-2*E(24)^4, -1*E(24)^2-E(24)^-2, E(24)^2+E(24)^-2, E(24)^6, -1+2*E(24)^4, -2*E(24)^6, E(24)^2+E(24)^-2, 2*E(24)^6, -1*E(24)^6, 1-2*E(24)^4, 0, E(24)^6, 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2*E(4), 0, 0, 0, 0, 0, 0, 0, -2*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, -4*E(4), 4*E(4), 4*E(4), -4*E(4), -4, 4*E(4), 4, -4*E(4), 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -1, -1, 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, 2*E(4), -2*E(4), 2*E(4), -2*E(4), -2*E(4), -2*E(4), 2, -2*E(4), -2, -2, 2*E(4), 2*E(4), 2*E(4), 2, -2*E(4), 2*E(4), E(4), 2, E(4), 1, 2*E(4), -2*E(4), -1*E(4), E(4), -1*E(4), -1, -2, -1*E(4), -1, E(4), 1, -1*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 4*E(4), -4*E(4), -4*E(4), 4*E(4), -4, -4*E(4), 4, 4*E(4), 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -1, -1, 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, -2*E(4), 2*E(4), -2*E(4), 2*E(4), 2*E(4), 2*E(4), 2, 2*E(4), -2, -2, -2*E(4), -2*E(4), -2*E(4), 2, 2*E(4), -2*E(4), -1*E(4), 2, -1*E(4), 1, -2*E(4), 2*E(4), E(4), -1*E(4), E(4), -1, -2, E(4), -1, -1*E(4), 1, E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, -4*E(4), 4*E(4), 4*E(4), -4*E(4), 4, -4*E(4), -4, 4*E(4), 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -1, -1, 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, -2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), -2, 2*E(4), 2, 2, 2*E(4), -2*E(4), 2*E(4), -2, -2*E(4), 2*E(4), -1*E(4), -2, E(4), -1, -2*E(4), 2*E(4), -1*E(4), E(4), E(4), 1, 2, E(4), 1, -1*E(4), -1, -1*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 1, 4*E(4), -4*E(4), -4*E(4), 4*E(4), 4, 4*E(4), -4, -4*E(4), 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -1, -1, 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, 2*E(4), 2*E(4), -2*E(4), 2*E(4), -2*E(4), 2*E(4), -2, -2*E(4), 2, 2, -2*E(4), 2*E(4), -2*E(4), -2, 2*E(4), -2*E(4), E(4), -2, -1*E(4), -1, 2*E(4), -2*E(4), E(4), -1*E(4), -1*E(4), 1, 2, -1*E(4), 1, E(4), -1, E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 1, -1, -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, -2*E(12)-2*E(12)^-1, -2, 2, 2, -2*E(12)-2*E(12)^-1, 2, -2*E(12)-2*E(12)^-1, 2*E(12)+2*E(12)^-1, 2*E(12)+2*E(12)^-1, -2*E(12)-2*E(12)^-1, -2, 2*E(12)+2*E(12)^-1, -2, 2*E(12)+2*E(12)^-1, -2, 2, -1*E(12)-E(12)^-1, 0, -1, E(12)+E(12)^-1, 0, 0, -1, 1, E(12)+E(12)^-1, E(12)+E(12)^-1, 0, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 1, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 1, -1, -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, 2*E(12)+2*E(12)^-1, -2, 2, 2, 2*E(12)+2*E(12)^-1, 2, 2*E(12)+2*E(12)^-1, -2*E(12)-2*E(12)^-1, -2*E(12)-2*E(12)^-1, 2*E(12)+2*E(12)^-1, -2, -2*E(12)-2*E(12)^-1, -2, -2*E(12)-2*E(12)^-1, -2, 2, E(12)+E(12)^-1, 0, -1, -1*E(12)-E(12)^-1, 0, 0, -1, 1, -1*E(12)-E(12)^-1, -1*E(12)-E(12)^-1, 0, E(12)+E(12)^-1, E(12)+E(12)^-1, -1*E(12)-E(12)^-1, E(12)+E(12)^-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, -4, 4, 0, 0, 0, 0, -2, -2, 1, -4*E(12)^3, 4*E(12)^3, -4*E(12)^3, 4*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -1, 1, -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, 2-4*E(12)^2, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, -2+4*E(12)^2, 2*E(12)^3, -2*E(12)-2*E(12)^-1, 2-4*E(12)^2, -2*E(12)-2*E(12)^-1, 2*E(12)+2*E(12)^-1, 2*E(12)^3, -2+4*E(12)^2, 2*E(12)^3, 2*E(12)+2*E(12)^-1, -2*E(12)^3, -2*E(12)^3, -1+2*E(12)^2, 0, -1*E(12)^3, -1*E(12)-E(12)^-1, 0, 0, E(12)^3, E(12)^3, -1+2*E(12)^2, E(12)+E(12)^-1, 0, 1-2*E(12)^2, -1*E(12)-E(12)^-1, 1-2*E(12)^2, E(12)+E(12)^-1, -1*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, -4, 4, 0, 0, 0, 0, -2, -2, 1, 4*E(12)^3, -4*E(12)^3, 4*E(12)^3, -4*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -1, 1, -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, -2+4*E(12)^2, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, 2-4*E(12)^2, -2*E(12)^3, -2*E(12)-2*E(12)^-1, -2+4*E(12)^2, -2*E(12)-2*E(12)^-1, 2*E(12)+2*E(12)^-1, -2*E(12)^3, 2-4*E(12)^2, -2*E(12)^3, 2*E(12)+2*E(12)^-1, 2*E(12)^3, 2*E(12)^3, 1-2*E(12)^2, 0, E(12)^3, -1*E(12)-E(12)^-1, 0, 0, -1*E(12)^3, -1*E(12)^3, 1-2*E(12)^2, E(12)+E(12)^-1, 0, -1+2*E(12)^2, -1*E(12)-E(12)^-1, -1+2*E(12)^2, E(12)+E(12)^-1, E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, -4, 4, 0, 0, 0, 0, -2, -2, 1, -4*E(12)^3, 4*E(12)^3, -4*E(12)^3, 4*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -1, 1, -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, -2+4*E(12)^2, -2*E(12)^3, -2*E(12)^3, 2*E(12)^3, 2-4*E(12)^2, 2*E(12)^3, 2*E(12)+2*E(12)^-1, -2+4*E(12)^2, 2*E(12)+2*E(12)^-1, -2*E(12)-2*E(12)^-1, 2*E(12)^3, 2-4*E(12)^2, 2*E(12)^3, -2*E(12)-2*E(12)^-1, -2*E(12)^3, -2*E(12)^3, 1-2*E(12)^2, 0, -1*E(12)^3, E(12)+E(12)^-1, 0, 0, E(12)^3, E(12)^3, 1-2*E(12)^2, -1*E(12)-E(12)^-1, 0, -1+2*E(12)^2, E(12)+E(12)^-1, -1+2*E(12)^2, -1*E(12)-E(12)^-1, -1*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -4, -4, 4, 0, 0, 0, 0, -2, -2, 1, 4*E(12)^3, -4*E(12)^3, 4*E(12)^3, -4*E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -1, 1, -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, 2-4*E(12)^2, 2*E(12)^3, 2*E(12)^3, -2*E(12)^3, -2+4*E(12)^2, -2*E(12)^3, 2*E(12)+2*E(12)^-1, 2-4*E(12)^2, 2*E(12)+2*E(12)^-1, -2*E(12)-2*E(12)^-1, -2*E(12)^3, -2+4*E(12)^2, -2*E(12)^3, -2*E(12)-2*E(12)^-1, 2*E(12)^3, 2*E(12)^3, -1+2*E(12)^2, 0, E(12)^3, E(12)+E(12)^-1, 0, 0, -1*E(12)^3, -1*E(12)^3, -1+2*E(12)^2, -1*E(12)-E(12)^-1, 0, 1-2*E(12)^2, E(12)+E(12)^-1, 1-2*E(12)^2, -1*E(12)-E(12)^-1, E(12)^3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_576_2207);