# Group 576.8440 downloaded from the LMFDB on 03 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(47354691982216563851340807758816613780665955345,576); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; e := GPC.6;
GPerm := Group( (1,2)(3,4)(5,6), (1,2)(3,5)(4,6)(7,8)(9,10)(11,12), (1,2)(3,5)(4,6)(7,8)(9,11)(10,12), (13,14,15), (3,4,8)(5,6,7), (1,3,2,5)(4,8,6,7), (1,4,2,6)(3,7,5,8), (1,2)(3,5)(4,6)(7,8) );
GLZN := Group([[[ZmodnZObj(9,12), ZmodnZObj(10,12)], [ZmodnZObj(2,12), ZmodnZObj(3,12)]],[[ZmodnZObj(5,12), ZmodnZObj(6,12)], [ZmodnZObj(6,12), ZmodnZObj(11,12)]],[[ZmodnZObj(5,12), ZmodnZObj(0,12)], [ZmodnZObj(0,12), ZmodnZObj(5,12)]],[[ZmodnZObj(1,12), ZmodnZObj(9,12)], [ZmodnZObj(9,12), ZmodnZObj(10,12)]],[[ZmodnZObj(1,12), ZmodnZObj(8,12)], [ZmodnZObj(8,12), ZmodnZObj(5,12)]],[[ZmodnZObj(1,12), ZmodnZObj(4,12)], [ZmodnZObj(0,12), ZmodnZObj(1,12)]],[[ZmodnZObj(5,12), ZmodnZObj(0,12)], [ZmodnZObj(0,12), ZmodnZObj(1,12)]],[[ZmodnZObj(11,12), ZmodnZObj(6,12)], [ZmodnZObj(6,12), ZmodnZObj(5,12)]]]);

 
# Booleans 
booleans_576_8440 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_576_8440:=rec(); 
chartbl_576_8440.IsFinite:= true; 
chartbl_576_8440.UnderlyingCharacteristic:= 0; 
chartbl_576_8440.UnderlyingGroup:= GLZN;
chartbl_576_8440.Size:= 576;
chartbl_576_8440.InfoText:= "Character table for group 576.8440 downloaded from the LMFDB."; 
chartbl_576_8440.Identifier:= " C2*C6*GL(2,3) "; 
chartbl_576_8440.NrConjugacyClasses:= 96; 
chartbl_576_8440.ConjugacyClasses:= [[1, 0, 0, 1], [7, 0, 0, 7], [11, 0, 0, 11], [11, 6, 6, 5], [7, 6, 6, 1], [5, 6, 6, 11], [1, 6, 6, 7], [5, 0, 0, 5], [5, 0, 0, 1], [7, 10, 6, 5], [11, 0, 0, 7], [1, 10, 6, 11], [10, 3, 3, 1], [1, 9, 9, 10], [1, 8, 0, 1], [1, 1, 9, 10], [10, 11, 3, 1], [3, 4, 8, 3], [3, 2, 10, 9], [9, 2, 10, 3], [9, 4, 8, 9], [7, 3, 3, 10], [10, 9, 9, 7], [2, 9, 9, 11], [11, 3, 3, 2], [5, 3, 3, 8], [8, 3, 3, 11], [4, 3, 3, 7], [1, 3, 3, 4], [11, 9, 9, 8], [8, 9, 9, 5], [4, 9, 9, 1], [7, 9, 9, 4], [2, 3, 3, 5], [5, 9, 9, 2], [11, 2, 6, 5], [9, 4, 8, 1], [7, 8, 0, 7], [5, 2, 6, 11], [7, 10, 6, 1], [3, 4, 8, 7], [1, 10, 6, 7], [2, 7, 3, 5], [1, 5, 1, 6], [5, 11, 3, 8], [8, 11, 3, 11], [4, 7, 3, 7], [5, 7, 11, 0], [7, 11, 3, 10], [10, 5, 9, 7], [2, 1, 9, 11], [7, 11, 7, 6], [11, 5, 9, 8], [8, 5, 9, 5], [4, 1, 9, 1], [11, 1, 5, 0], [5, 9, 9, 10], [10, 3, 3, 5], [1, 7, 3, 8], [8, 11, 3, 7], [11, 3, 3, 10], [10, 9, 9, 11], [7, 1, 9, 8], [8, 5, 9, 1], [1, 8, 4, 1], [5, 8, 4, 5], [3, 10, 10, 1], [11, 10, 10, 9], [7, 8, 4, 7], [11, 8, 4, 11], [9, 10, 10, 7], [5, 10, 10, 3], [3, 11, 7, 6], [6, 5, 1, 3], [9, 7, 11, 0], [0, 7, 11, 3], [3, 1, 5, 0], [0, 1, 5, 9], [6, 11, 7, 9], [9, 1, 5, 6], [1, 1, 5, 10], [2, 11, 7, 5], [1, 1, 1, 6], [10, 7, 11, 1], [1, 11, 11, 0], [0, 11, 11, 11], [9, 11, 11, 8], [4, 11, 11, 3], [7, 7, 11, 10], [2, 5, 1, 11], [7, 7, 7, 6], [10, 1, 5, 7], [7, 5, 5, 0], [0, 5, 5, 5], [3, 5, 5, 8], [4, 5, 5, 9]];
chartbl_576_8440.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];
chartbl_576_8440.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 14, 13, 15, 17, 16, 8, 8, 8, 8, 13, 14, 14, 13, 13, 14, 14, 13, 13, 14, 14, 13, 14, 13, 15, 15, 15, 15, 15, 15, 15, 16, 17, 17, 16, 16, 17, 17, 16, 16, 17, 17, 16, 16, 17, 13, 14, 13, 14, 13, 14, 13, 14, 21, 21, 21, 21, 21, 21, 21, 21, 34, 35, 34, 35, 34, 35, 35, 34, 79, 80, 79, 80, 79, 80, 79, 80, 79, 80, 79, 80, 79, 80, 79, 80], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 1, 1, 1, 1, 1, 18, 19, 20, 21, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 4, 8, 2, 6, 5, 3, 7, 8, 8, 4, 4, 5, 5, 2, 2, 3, 3, 6, 6, 7, 7, 9, 9, 10, 10, 11, 11, 12, 12, 65, 66, 67, 68, 69, 70, 71, 72, 18, 18, 19, 19, 20, 20, 21, 21, 65, 66, 66, 65, 67, 68, 68, 67, 69, 70, 70, 69, 71, 72, 72, 71]];
chartbl_576_8440.SizesCentralizers:= [576, 576, 576, 576, 576, 576, 576, 576, 48, 48, 48, 48, 576, 576, 72, 72, 72, 96, 96, 96, 96, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 576, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 48, 48, 48, 48, 48, 48, 48, 48, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96];
chartbl_576_8440.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "3A1", "3A-1", "3B", "3C1", "3C-1", "4A", "4B", "4C", "4D", "6A1", "6A-1", "6B1", "6B-1", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O1", "6O-1", "6P1", "6P-1", "6Q1", "6Q-1", "6R1", "6R-1", "6S1", "6S-1", "6T1", "6T-1", "6U1", "6U-1", "6V1", "6V-1", "6W1", "6W-1", "6X1", "6X-1", "6Y1", "6Y-1", "8A1", "8A-1", "8B1", "8B-1", "8C1", "8C-1", "8D1", "8D-1", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "24A1", "24A-1", "24A7", "24A-7", "24B1", "24B-1", "24B7", "24B-7", "24C1", "24C-1", "24C7", "24C-7", "24D1", "24D-1", "24D7", "24D-7"];
chartbl_576_8440.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 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_8440.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, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3), 1, E(3)^-1, E(3), E(3), 1, E(3), E(3)^-1, 1, E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), 1, E(3), 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)], [1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, E(3)^-1, E(3), 1, E(3), E(3)^-1, -1, -1, 1, 1, -1*E(3)^-1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, -1, E(3), -1*E(3), 1, -1*E(3)^-1, E(3), -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1, E(3)^-1, 1, -1, 1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), E(3), E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), -1, -1, 1, 1, -1, 1, -1, 1, -1*E(3)^-1, E(3), -1*E(3), E(3)^-1, -1*E(3), E(3)^-1, -1*E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, -1*E(3), E(3), -1*E(3), -1*E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), E(3)^-1], [1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, E(3), E(3)^-1, 1, E(3)^-1, E(3), -1, -1, 1, 1, -1*E(3), -1*E(3), E(3)^-1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), E(3)^-1, E(3), E(3), E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), -1, E(3)^-1, -1*E(3)^-1, 1, -1*E(3), E(3)^-1, -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1, E(3), 1, -1, 1, -1*E(3), E(3)^-1, E(3), -1*E(3)^-1, E(3)^-1, E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, -1, -1, 1, 1, -1, 1, -1, 1, -1*E(3), E(3)^-1, -1*E(3)^-1, E(3), -1*E(3)^-1, E(3), -1*E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), -1*E(3)^-1, E(3)^-1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), -1*E(3), -1*E(3), -1*E(3)^-1, E(3)], [1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, -1, -1, 1, 1, -1*E(3)^-1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), -1*E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, -1, E(3), -1*E(3), 1, -1*E(3)^-1, E(3), -1*E(3), -1, -1*E(3), -1*E(3)^-1, -1, E(3)^-1, 1, -1, 1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, E(3), 1, 1, -1, -1, 1, -1, 1, -1, -1*E(3)^-1, E(3), -1*E(3), E(3)^-1, -1*E(3), E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), E(3), E(3), E(3)^-1, -1*E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1], [1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), -1, -1, 1, 1, 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E(24)-E(24)^3-E(24)^5, -1*E(24)+E(24)^3+E(24)^5, -1*E(24)+E(24)^3+E(24)^5, -1*E(24)+E(24)^3+E(24)^5, E(24)-E(24)^3-E(24)^5, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(24)+E(24)^7, -1*E(24)^3-E(24)^5+E(24)^7, E(24)-E(24)^7, E(24)^3+E(24)^5-E(24)^7, E(24)^3+E(24)^5-E(24)^7, E(24)-E(24)^7, -1*E(24)+E(24)^7, -1*E(24)+E(24)^7, -1*E(24)+E(24)^7, E(24)^3+E(24)^5-E(24)^7, E(24)-E(24)^7, -1*E(24)^3-E(24)^5+E(24)^7, -1*E(24)^3-E(24)^5+E(24)^7, E(24)^3+E(24)^5-E(24)^7, E(24)-E(24)^7, -1*E(24)^3-E(24)^5+E(24)^7], [3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 3, 3, 0, 0, 0, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 3, 3, 0, 0, 0, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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-1, -1, -1, -1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3), E(3)^-1, E(3)], [3, -3, -3, 3, 3, -3, -3, 3, -1, 1, 1, -1, 3*E(3)^-1, 3*E(3), 0, 0, 0, 1, 1, -1, -1, -3*E(3)^-1, -3*E(3)^-1, 3*E(3), 3*E(3)^-1, -3*E(3), -3*E(3)^-1, -3*E(3), -3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), -3*E(3), -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), 1, 1, -1, -1, 1, -1, 1, -1, E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, E(3), -1*E(3), E(3), E(3), E(3)^-1, -1*E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1], [3, -3, -3, 3, 3, -3, -3, 3, -1, 1, 1, -1, 3*E(3), 3*E(3)^-1, 0, 0, 0, 1, 1, -1, -1, -3*E(3), -3*E(3), 3*E(3)^-1, 3*E(3), -3*E(3)^-1, -3*E(3), -3*E(3)^-1, -3*E(3), 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-1, -3*E(3)^-1, -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, 1, 1, -1, -1, 1, -1, 1, -1, E(3), -1*E(3)^-1, E(3)^-1, -1*E(3), E(3)^-1, -1*E(3), E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3), E(3)^-1, -1*E(3)^-1, E(3)^-1, E(3)^-1, E(3), -1*E(3)^-1, E(3), E(3), E(3), E(3)^-1, -1*E(3)], [3, -3, -3, 3, 3, -3, -3, 3, 1, -1, -1, 1, 3*E(3)^-1, 3*E(3), 0, 0, 0, 1, 1, -1, -1, -3*E(3)^-1, -3*E(3)^-1, 3*E(3), 3*E(3)^-1, -3*E(3), -3*E(3)^-1, -3*E(3), -3*E(3)^-1, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), -3*E(3), -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 4*E(3)^-1, 4*E(3), 1, E(3), E(3)^-1, 0, 0, 0, 0, 4*E(3)^-1, -4*E(3)^-1, -4*E(3), -4*E(3)^-1, 4*E(3), 4*E(3)^-1, -4*E(3), -4*E(3)^-1, -4*E(3), -4*E(3)^-1, 4*E(3)^-1, 4*E(3), -4*E(3), 4*E(3), E(3)^-1, E(3)^-1, 1, E(3), E(3), -1, -1*E(3)^-1, -1*E(3), E(3), -1, -1*E(3), -1*E(3)^-1, -1, -1*E(3)^-1, 1, 1, -1, E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, -4, -4, -4, 0, 0, 0, 0, 4*E(3), 4*E(3)^-1, 1, E(3)^-1, E(3), 0, 0, 0, 0, 4*E(3), -4*E(3), -4*E(3)^-1, -4*E(3), 4*E(3)^-1, 4*E(3), -4*E(3)^-1, -4*E(3), -4*E(3)^-1, -4*E(3), 4*E(3), 4*E(3)^-1, -4*E(3)^-1, 4*E(3)^-1, E(3), E(3), 1, E(3)^-1, E(3)^-1, -1, -1*E(3), -1*E(3)^-1, E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1, -1*E(3), 1, 1, -1, E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-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]];
ConvertToLibraryCharacterTableNC(chartbl_576_8440);