# Group 576.3886 downloaded from the LMFDB on 19 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(20438254145154098480926239914150701908032033,576); a := GPC.1; b := GPC.2; c := GPC.4;
GPerm := Group( (2,7)(8,11)(9,18)(10,19)(20,23)(21,24)(22,29)(30,31)(33,34)(35,37)(36,38), (1,2)(3,11)(4,9)(5,10)(6,7)(8,14)(12,23)(13,24)(15,22)(16,18)(17,19)(20,26)(21,27)(25,31)(28,29)(30,32), (1,3,4,12,5,13,15,25,6,14,16,26,17,27,28,32)(2,8,9,20,10,21,22,30,7,11,18,23,19,24,29,31), (33,35,36)(34,37,38), (1,4,5,15,6,16,17,28)(2,9,10,22,7,18,19,29)(3,12,13,25,14,26,27,32)(8,20,21,30,11,23,24,31), (1,5,6,17)(2,10,7,19)(3,13,14,27)(4,15,16,28)(8,21,11,24)(9,22,18,29)(12,25,26,32)(20,30,23,31), (1,6)(2,7)(3,14)(4,16)(5,17)(8,11)(9,18)(10,19)(12,26)(13,27)(15,28)(20,23)(21,24)(22,29)(25,32)(30,31), (33,36,35)(34,37,38) );
GLZN := Group([[[ZmodnZObj(67,102), ZmodnZObj(0,102)], [ZmodnZObj(0,102), ZmodnZObj(1,102)]],[[ZmodnZObj(25,102), ZmodnZObj(0,102)], [ZmodnZObj(0,102), ZmodnZObj(25,102)]],[[ZmodnZObj(17,102), ZmodnZObj(39,102)], [ZmodnZObj(6,102), ZmodnZObj(17,102)]],[[ZmodnZObj(1,102), ZmodnZObj(51,102)], [ZmodnZObj(51,102), ZmodnZObj(52,102)]],[[ZmodnZObj(67,102), ZmodnZObj(0,102)], [ZmodnZObj(0,102), ZmodnZObj(67,102)]],[[ZmodnZObj(1,102), ZmodnZObj(34,102)], [ZmodnZObj(0,102), ZmodnZObj(1,102)]],[[ZmodnZObj(97,102), ZmodnZObj(0,102)], [ZmodnZObj(51,102), ZmodnZObj(97,102)]],[[ZmodnZObj(13,102), ZmodnZObj(0,102)], [ZmodnZObj(0,102), ZmodnZObj(13,102)]]]);

 
# Booleans 
booleans_576_3886 := 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_3886:=rec(); 
chartbl_576_3886.IsFinite:= true; 
chartbl_576_3886.UnderlyingCharacteristic:= 0; 
chartbl_576_3886.UnderlyingGroup:= GPC;
chartbl_576_3886.Size:= 576;
chartbl_576_3886.InfoText:= "Character table for group 576.3886 downloaded from the LMFDB."; 
chartbl_576_3886.Identifier:= " D12.C24 "; 
chartbl_576_3886.NrConjugacyClasses:= 180; 
chartbl_576_3886.ConjugacyClasses:= [<identity> of ..., f7*f8, f1, f2*f3, f1*f2*f3*f6, f3^2, f3, f8^2, f3^2*f8^2, f3*f8, f6*f7, f6*f8^2, f1*f6*f8^2, f2*f3*f6*f7*f8, f1*f2*f3*f7*f8, f3^2*f7*f8, f3*f7*f8, f7, f1*f3, f1*f3^2, f3^2*f7, f3*f7*f8^2, f1*f8, f1*f3*f8, f1*f3^2*f8, f2, f2*f3^2, f1*f2*f6, f1*f2*f3^2*f6, f5*f6, f5*f7*f8^2, f5*f8, f5*f6*f7*f8, f1*f5*f6, f1*f5*f7*f8^2, f2*f3*f5*f6*f8^2, f2*f3*f5*f7*f8, f1*f2*f3*f5*f6*f7, f1*f2*f3*f5*f7*f8, f3^2*f6*f8^2, f3*f6*f7, f3*f6*f8^2, f3^2*f6*f7, f1*f3*f6*f7, f1*f3^2*f6*f7, f6, f6*f7*f8^2, f3^2*f6, f3*f6*f7*f8^2, f3*f6*f8, f3^2*f6*f7*f8, f1*f6, f1*f3*f6, f1*f3^2*f6, f2*f6, f2*f3^2*f6, f1*f2, f1*f2*f3^2, f4*f5*f7*f8, f4*f6*f8, f4*f8^2, f4*f5*f6*f7, f1*f4*f5, f1*f4*f6*f8, f1*f4*f8^2, f1*f4*f5*f6*f8^2, f2*f3*f4*f5*f8, f2*f3*f4*f6*f7, f2*f3*f4*f7*f8, f2*f3*f4*f5*f6, f2*f3*f4*f5*f6*f7*f8, f2*f3*f4, f2*f3*f4*f6*f8^2, f2*f3*f4*f5*f7*f8^2, f1*f2*f3*f4*f5*f8, f1*f2*f3*f4*f6*f7, f1*f2*f3*f4*f7*f8, f1*f2*f3*f4*f5*f6, f3^2*f5*f8, f3*f5*f6*f7*f8, f3*f5*f7*f8^2, f3^2*f5*f6, f3^2*f5*f6*f7*f8, f3*f5*f8, f3*f5*f6, f3^2*f5*f7*f8^2, f1*f3*f5*f8, f1*f3^2*f5*f6, f1*f3^2*f5*f8, f1*f3*f5*f6, f5, f5*f6*f7*f8^2, f5*f7, f5*f6*f8^2, f3^2*f5, f3*f5*f6*f7*f8^2, f3*f5*f7, f3^2*f5*f6*f8^2, f3^2*f5*f6*f7, f3*f5*f8^2, f3*f5*f6*f8, f3^2*f5*f7*f8, f1*f5, f1*f5*f6*f8, f1*f3*f5, f1*f3^2*f5*f6*f8, f1*f3^2*f5, f1*f3*f5*f6*f8, f2*f5, f2*f3^2*f5*f6, f2*f3^2*f5, f2*f5*f6, f1*f2*f5, f1*f2*f3^2*f5*f6, f1*f2*f3^2*f5, f1*f2*f5*f6, f3*f4*f7, f3^2*f4*f5*f6*f7, f3^2*f4*f6*f8, f3*f4*f5, f3*f4*f5*f6*f7, f3^2*f4*f7, f3^2*f4*f5, f3*f4*f6*f8, f1*f3*f4*f7, f1*f3^2*f4*f5*f6*f7, f1*f3^2*f4*f6*f8, f1*f3*f4*f5, f1*f3*f4*f5*f6*f7, f1*f3^2*f4*f7, f1*f3^2*f4*f5, f1*f3*f4*f6*f8, f2*f4, f2*f3^2*f4*f5*f6*f7, f2*f3^2*f4*f6, f2*f4*f5*f7, f2*f4*f5*f6, f2*f3^2*f4*f7, f2*f3^2*f4*f5*f7, f2*f4*f6, f2*f4*f6*f7, f2*f3^2*f4*f5, f2*f3^2*f4, f2*f4*f5*f6*f7, f2*f4*f5, f2*f3^2*f4*f6*f7, f2*f3^2*f4*f5*f6, f2*f4*f7, f4, f4*f5*f6, f4*f6, f4*f5*f8, f1*f4, f1*f4*f5*f6, f1*f4*f6, f1*f4*f5*f8, f3*f4, f3^2*f4*f5*f6, f3^2*f4*f6, f3*f4*f5*f8, f3*f4*f5*f6, f3^2*f4, f3^2*f4*f5*f8, f3*f4*f6, f1*f3*f4, f1*f3^2*f4*f5*f6, f1*f3^2*f4*f6, f1*f3*f4*f5*f8, f1*f3*f4*f5*f6, f1*f3^2*f4, f1*f3^2*f4*f5*f8, f1*f3*f4*f6, f1*f2*f4, f1*f2*f3^2*f4*f5*f6, f1*f2*f3^2*f4*f6, f1*f2*f4*f5, f1*f2*f4*f5*f6, f1*f2*f3^2*f4, f1*f2*f3^2*f4*f5, f1*f2*f4*f6];
chartbl_576_3886.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_576_3886.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 7, 6, 8, 10, 9, 2, 2, 2, 2, 2, 7, 6, 8, 6, 7, 10, 9, 8, 9, 10, 7, 6, 7, 6, 11, 12, 12, 11, 11, 12, 11, 12, 12, 11, 17, 16, 16, 17, 16, 17, 18, 18, 22, 21, 21, 22, 18, 21, 22, 17, 16, 17, 16, 30, 31, 32, 33, 33, 32, 31, 30, 30, 31, 32, 33, 33, 32, 31, 30, 30, 31, 32, 33, 42, 43, 40, 41, 41, 40, 43, 42, 40, 41, 42, 43, 46, 47, 46, 47, 50, 51, 48, 49, 49, 48, 51, 50, 46, 47, 48, 49, 50, 51, 42, 43, 40, 41, 41, 40, 43, 42, 79, 80, 81, 82, 83, 84, 85, 86, 86, 85, 84, 83, 82, 81, 80, 79, 84, 83, 86, 85, 80, 79, 82, 81, 81, 82, 79, 80, 85, 86, 83, 84, 91, 92, 93, 94, 93, 94, 91, 92, 95, 96, 97, 98, 99, 100, 101, 102, 102, 101, 100, 99, 98, 97, 96, 95, 84, 83, 86, 85, 80, 79, 82, 81], [1, 2, 3, 4, 5, 1, 1, 1, 1, 1, 12, 11, 13, 14, 15, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 4, 4, 5, 5, 32, 33, 30, 31, 35, 34, 37, 36, 39, 38, 11, 12, 11, 12, 13, 13, 11, 12, 11, 12, 11, 12, 13, 13, 13, 14, 14, 15, 15, 61, 62, 59, 60, 65, 66, 63, 64, 69, 70, 74, 73, 68, 67, 71, 72, 77, 78, 75, 76, 30, 31, 33, 32, 31, 30, 32, 33, 34, 35, 34, 35, 30, 31, 33, 32, 30, 31, 33, 32, 31, 30, 32, 33, 34, 35, 34, 35, 34, 35, 36, 37, 36, 37, 38, 39, 38, 39, 59, 60, 62, 61, 60, 59, 61, 62, 63, 64, 66, 65, 64, 63, 65, 66, 67, 68, 71, 72, 73, 74, 72, 71, 70, 69, 67, 68, 69, 70, 73, 74, 59, 60, 62, 61, 63, 64, 66, 65, 59, 60, 62, 61, 60, 59, 61, 62, 63, 64, 66, 65, 64, 63, 65, 66, 75, 76, 78, 77, 76, 75, 77, 78]];
chartbl_576_3886.SizesCentralizers:= [576, 576, 288, 96, 96, 576, 576, 288, 288, 288, 576, 576, 288, 96, 96, 576, 576, 288, 288, 288, 288, 288, 144, 144, 144, 96, 96, 96, 96, 576, 576, 576, 576, 288, 288, 96, 96, 96, 96, 576, 576, 576, 576, 288, 288, 288, 288, 288, 288, 288, 288, 144, 144, 144, 96, 96, 96, 96, 288, 288, 288, 288, 288, 288, 288, 288, 192, 192, 192, 192, 192, 192, 192, 192, 96, 96, 96, 96, 576, 576, 576, 576, 576, 576, 576, 576, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 144, 144, 144, 144, 144, 144, 96, 96, 96, 96, 96, 96, 96, 96, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 288, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 96, 96, 96, 96, 96, 96, 96, 96];
chartbl_576_3886.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "3A1", "3A-1", "3B", "3C1", "3C-1", "4A1", "4A-1", "4B", "4C", "4D", "6A1", "6A-1", "6B", "6C1", "6C-1", "6D1", "6D-1", "6E", "6F1", "6F-1", "6G1", "6G-1", "6H1", "6H-1", "8A1", "8A-1", "8A3", "8A-3", "8B1", "8B-1", "8C1", "8C-1", "8D1", "8D-1", "12A1", "12A-1", "12A5", "12A-5", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12D5", "12D-5", "12E", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "16A1", "16A-1", "16A3", "16A-3", "16B1", "16B-1", "16B3", "16B-3", "16C1", "16C-1", "16C3", "16C-3", "16C5", "16C-5", "16C7", "16C-7", "16D1", "16D-1", "16D3", "16D-3", "24A1", "24A-1", "24A5", "24A-5", "24A7", "24A-7", "24A11", "24A-11", "24B1", "24B-1", "24B5", "24B-5", "24C1", "24C-1", "24C5", "24C-5", "24D1", "24D-1", "24D5", "24D-5", "24D7", "24D-7", "24D11", "24D-11", "24E1", "24E-1", "24F1", "24F-1", "24F5", "24F-5", "24G1", "24G-1", "24G5", "24G-5", "24H1", "24H-1", "24H5", "24H-5", "48A1", "48A-1", "48A5", "48A-5", "48A7", "48A-7", "48A11", "48A-11", "48B1", "48B-1", "48B5", "48B-5", "48B7", "48B-7", "48B11", "48B-11", "48C1", "48C-1", "48C5", "48C-5", "48C7", "48C-7", "48C11", "48C-11", "48C13", "48C-13", "48C17", "48C-17", "48C19", "48C-19", "48C23", "48C-23", "48D1", "48D-1", "48D5", "48D-5", "48E1", "48E-1", "48E5", "48E-5", "48F1", "48F-1", "48F5", "48F-5", "48F7", "48F-7", "48F11", "48F-11", "48G1", "48G-1", "48G5", "48G-5", "48G7", "48G-7", "48G11", "48G-11", "48H1", "48H-1", "48H5", "48H-5", "48H7", "48H-7", "48H11", "48H-11"];
chartbl_576_3886.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48];
chartbl_576_3886.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, 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E(24)^11, -1*E(24)^11, E(24)^11, E(24)^7, E(24)^7, E(24)^11, -1*E(24), -1*E(24)^7, E(24)^7, E(24)^5, E(24)^7, -1*E(24)^7, -1*E(24)^5, -1*E(24)^11, E(24), E(24), E(24)^11, -1*E(24)^5, -1*E(24)^11, E(24)^5, -1*E(24), E(24), -1*E(24)^9, -1*E(24)^3, -1*E(24)^11, -1*E(24)^7, E(24)^9, -1*E(24)^3, E(24)^7, -1*E(24), E(24)^9, E(24)^11, -1*E(24), -1*E(24)^5, E(24)^5, E(24), -1*E(24)^5, E(24)^3, E(24)^5, -1*E(24)^11, E(24)^3, -1*E(24)^9, E(24)^11, -1*E(24)^7, E(24)^7, E(24)^11, -1*E(24), E(24)^5, -1*E(24)^7, E(24)^7, -1*E(24)^5, E(24), -1*E(24)^11], [1, 1, 1, 1, -1, -1*E(24)^4, E(24)^8, 1, -1*E(24)^4, E(24)^8, -1, -1, -1, -1, 1, -1*E(24)^4, E(24)^8, E(24)^8, -1*E(24)^4, -1*E(24)^4, 1, E(24)^8, 1, E(24)^8, -1*E(24)^4, E(24)^8, -1*E(24)^8, E(24)^4, -1*E(24)^4, E(24)^6, -1*E(24)^6, -1*E(24)^6, E(24)^6, E(24)^6, -1*E(24)^6, -1*E(24)^6, E(24)^6, -1*E(24)^6, E(24)^6, -1*E(24)^8, E(24)^4, -1*E(24)^8, E(24)^4, -1, E(24)^4, -1, E(24)^4, -1*E(24)^8, E(24)^4, -1*E(24)^8, -1*E(24)^8, -1*E(24)^8, E(24)^4, -1, -1*E(24)^4, E(24)^8, E(24)^4, -1*E(24)^8, E(24)^3, -1*E(24)^9, E(24)^9, -1*E(24)^3, -1*E(24)^3, -1*E(24)^9, E(24)^9, E(24)^3, -1*E(24)^3, E(24)^9, E(24)^3, E(24)^9, -1*E(24)^9, -1*E(24)^3, -1*E(24)^9, E(24)^3, E(24)^3, -1*E(24)^9, E(24)^9, -1*E(24)^3, -1*E(24)^2, E(24)^10, -1*E(24)^10, E(24)^2, -1*E(24)^10, -1*E(24)^2, E(24)^10, E(24)^2, -1*E(24)^2, -1*E(24)^2, E(24)^6, E(24)^2, -1*E(24)^10, -1*E(24)^6, E(24)^10, -1*E(24)^6, E(24)^10, -1*E(24)^10, -1*E(24)^10, -1*E(24)^2, E(24)^10, E(24)^2, E(24)^2, E(24)^6, E(24)^2, E(24)^6, -1*E(24)^10, -1*E(24)^6, E(24)^10, -1*E(24)^2, E(24)^10, -1*E(24)^2, E(24)^10, -1*E(24)^10, -1*E(24)^2, -1*E(24)^10, E(24)^2, E(24)^2, -1*E(24)^5, E(24)^7, E(24)^11, E(24)^11, -1*E(24)^11, -1*E(24)^11, -1*E(24)^7, -1*E(24), -1*E(24)^7, -1*E(24)^5, E(24)^7, E(24), -1*E(24), E(24), E(24)^5, E(24)^5, E(24), -1*E(24)^11, -1*E(24)^5, E(24)^5, E(24)^7, E(24)^5, -1*E(24)^5, -1*E(24)^7, -1*E(24), E(24)^11, E(24)^11, E(24), -1*E(24)^7, -1*E(24), E(24)^7, -1*E(24)^11, E(24)^11, -1*E(24)^3, -1*E(24)^9, -1*E(24), -1*E(24)^5, E(24)^3, -1*E(24)^9, E(24)^5, -1*E(24)^11, E(24)^3, E(24), -1*E(24)^11, -1*E(24)^7, E(24)^7, E(24)^11, -1*E(24)^7, E(24)^9, E(24)^7, -1*E(24), E(24)^9, -1*E(24)^3, E(24), -1*E(24)^5, E(24)^5, E(24), -1*E(24)^11, E(24)^7, -1*E(24)^5, E(24)^5, -1*E(24)^7, E(24)^11, -1*E(24)], [1, 1, 1, 1, -1, E(24)^8, -1*E(24)^4, 1, E(24)^8, -1*E(24)^4, -1, -1, -1, -1, 1, E(24)^8, -1*E(24)^4, -1*E(24)^4, E(24)^8, E(24)^8, 1, -1*E(24)^4, 1, -1*E(24)^4, E(24)^8, -1*E(24)^4, E(24)^4, -1*E(24)^8, E(24)^8, -1*E(24)^6, E(24)^6, E(24)^6, -1*E(24)^6, -1*E(24)^6, E(24)^6, E(24)^6, -1*E(24)^6, E(24)^6, -1*E(24)^6, E(24)^4, -1*E(24)^8, E(24)^4, -1*E(24)^8, -1, -1*E(24)^8, -1, -1*E(24)^8, E(24)^4, -1*E(24)^8, E(24)^4, E(24)^4, E(24)^4, -1*E(24)^8, -1, E(24)^8, -1*E(24)^4, -1*E(24)^8, E(24)^4, -1*E(24)^9, E(24)^3, -1*E(24)^3, E(24)^9, E(24)^9, E(24)^3, -1*E(24)^3, -1*E(24)^9, E(24)^9, -1*E(24)^3, -1*E(24)^9, -1*E(24)^3, E(24)^3, E(24)^9, E(24)^3, -1*E(24)^9, -1*E(24)^9, E(24)^3, -1*E(24)^3, E(24)^9, E(24)^10, -1*E(24)^2, E(24)^2, -1*E(24)^10, E(24)^2, E(24)^10, -1*E(24)^2, -1*E(24)^10, E(24)^10, E(24)^10, -1*E(24)^6, -1*E(24)^10, E(24)^2, E(24)^6, -1*E(24)^2, E(24)^6, -1*E(24)^2, E(24)^2, E(24)^2, E(24)^10, -1*E(24)^2, -1*E(24)^10, -1*E(24)^10, -1*E(24)^6, -1*E(24)^10, -1*E(24)^6, E(24)^2, E(24)^6, -1*E(24)^2, E(24)^10, -1*E(24)^2, E(24)^10, -1*E(24)^2, E(24)^2, E(24)^10, E(24)^2, -1*E(24)^10, -1*E(24)^10, E(24)^7, -1*E(24)^5, -1*E(24), -1*E(24), E(24), E(24), E(24)^5, E(24)^11, E(24)^5, E(24)^7, -1*E(24)^5, -1*E(24)^11, E(24)^11, -1*E(24)^11, -1*E(24)^7, -1*E(24)^7, -1*E(24)^11, E(24), E(24)^7, -1*E(24)^7, -1*E(24)^5, -1*E(24)^7, E(24)^7, E(24)^5, E(24)^11, -1*E(24), -1*E(24), -1*E(24)^11, E(24)^5, E(24)^11, -1*E(24)^5, E(24), -1*E(24), E(24)^9, E(24)^3, E(24)^11, E(24)^7, -1*E(24)^9, E(24)^3, -1*E(24)^7, E(24), -1*E(24)^9, -1*E(24)^11, E(24), E(24)^5, -1*E(24)^5, -1*E(24), E(24)^5, -1*E(24)^3, -1*E(24)^5, E(24)^11, -1*E(24)^3, E(24)^9, -1*E(24)^11, E(24)^7, -1*E(24)^7, -1*E(24)^11, E(24), -1*E(24)^5, E(24)^7, -1*E(24)^7, E(24)^5, -1*E(24), E(24)^11], [2, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, 2, 0, 0, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -2, 0, 0, 2, 2, -2, -1, -2, -1, -1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -2, -2, -1, -1, 1, 1, 1, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 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-1*E(24)^7, E(24), E(24)^9, E(24)^3, -1*E(24), -1*E(24)^5, -1*E(24)^5, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, -2, 0, 0, 2*E(24)^8, -2*E(24)^4, -1, -1*E(24)^8, E(24)^4, -2, -2, 2, 0, 0, 2*E(24)^8, -2*E(24)^4, 2*E(24)^4, -1*E(24)^8, -2*E(24)^8, -1, E(24)^4, 1, -1*E(24)^4, E(24)^8, 0, 0, 0, 0, -2*E(24)^6, 2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 2*E(24)^6, -2*E(24)^6, 0, 0, 0, 0, 2*E(24)^4, -2*E(24)^8, 2*E(24)^4, -2*E(24)^8, 1, E(24)^8, 1, E(24)^8, -2*E(24)^4, 2*E(24)^8, -1*E(24)^4, -1*E(24)^4, E(24)^4, -1*E(24)^8, -1, 0, 0, 0, 0, -2*E(24)^9, -2*E(24)^3, 2*E(24)^3, -2*E(24)^9, 2*E(24)^9, 2*E(24)^3, -2*E(24)^3, 2*E(24)^9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(24)^10, -2*E(24)^2, 2*E(24)^2, -2*E(24)^10, 2*E(24)^2, 2*E(24)^10, -2*E(24)^2, -2*E(24)^10, -1*E(24)^10, -2*E(24)^10, E(24)^6, E(24)^10, -1*E(24)^2, -1*E(24)^6, 2*E(24)^2, -1*E(24)^6, E(24)^2, -2*E(24)^2, -1*E(24)^2, -1*E(24)^10, E(24)^2, 2*E(24)^10, E(24)^10, E(24)^6, -1*E(24)^10, -1*E(24)^6, E(24)^2, E(24)^6, -1*E(24)^2, E(24)^10, 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], [4, -4, 0, 0, 0, 4*E(24)^8, -4*E(24)^4, -2, -2*E(24)^8, 2*E(24)^4, -4*E(24)^6, 4*E(24)^6, 0, 0, 0, -4*E(24)^8, 4*E(24)^4, 0, 2*E(24)^8, 0, 2, -2*E(24)^4, 0, 0, 0, 0, 0, 0, 0, -4*E(24)^9, 4*E(24)^3, -4*E(24)^3, 4*E(24)^9, 0, 0, 0, 0, 0, 0, -4*E(24)^10, -4*E(24)^2, 4*E(24)^10, 4*E(24)^2, 2*E(24)^6, -2*E(24)^2, -2*E(24)^6, 2*E(24)^2, 0, 0, 2*E(24)^10, -2*E(24)^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, 0, 0, 0, 4*E(24), 4*E(24)^11, 4*E(24)^5, 4*E(24)^7, -4*E(24)^5, -4*E(24), -4*E(24)^11, -4*E(24)^7, 2*E(24), 0, 2*E(24)^9, 2*E(24)^7, -2*E(24)^5, 2*E(24)^3, 0, -2*E(24)^3, 2*E(24)^11, 0, 2*E(24)^5, -2*E(24), -2*E(24)^11, 0, -2*E(24)^7, -2*E(24)^9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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_3886);