# Group 1728.39129 downloaded from the LMFDB on 12 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(264949272135403977457615925384308311584665136943655985565205,1728); a := GPC.1; b := GPC.2; c := GPC.5; d := GPC.6; e := GPC.8;
GPerm := Group( (2,4)(6,7)(8,9,12,15)(10,16,18,23)(11,19,21,14)(13,20,22,17)(25,26), (8,10,12,18)(9,13,15,22)(11,20,21,17)(14,23,19,16), (8,11,12,21)(9,14,15,19)(10,17,18,20)(13,16,22,23), (8,12)(9,15)(10,18)(11,21)(13,22)(14,19)(16,23)(17,20), (2,3,4)(5,6,7), (24,25,26), (5,6,7)(24,25,26), (1,2)(3,4), (1,3)(2,4) );

 
# Booleans 
booleans_1728_39129 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := true,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_1728_39129:=rec(); 
chartbl_1728_39129.IsFinite:= true; 
chartbl_1728_39129.UnderlyingCharacteristic:= 0; 
chartbl_1728_39129.UnderlyingGroup:= GPC;
chartbl_1728_39129.Size:= 1728;
chartbl_1728_39129.InfoText:= "Character table for group 1728.39129 downloaded from the LMFDB."; 
chartbl_1728_39129.Identifier:= " (C3^2*A4):Q16 "; 
chartbl_1728_39129.NrConjugacyClasses:= 99; 
chartbl_1728_39129.ConjugacyClasses:= [<identity> of ..., f4, f8*f9, f4*f8*f9, f9, f7, f7^2*f9, f7*f9, f5, f5*f9, f5*f8, f5*f7, f5*f6, f5*f7*f9, f5*f7*f8, f5*f6*f9, f5*f6*f8, f3*f4, f1*f4, f3*f4*f8*f9, f1*f4*f8*f9, f1*f2*f3*f4*f5^2*f6*f7*f8*f9, f1*f2*f3*f5*f6*f7^2*f8*f9^2, f4*f9^2, f4*f7^2, f4*f7^2*f9^2, f4*f7^2*f9, f8, f6, f7*f8, f6*f8, f4*f8, f4*f6, f4*f7*f8, f4*f6*f8, f4*f5^2, f4*f5^2*f9^2, f4*f5^2*f6*f7*f9, f4*f5^2*f7^2, f4*f5^2*f6*f7^2*f8*f9, f4*f5^2*f7^2*f9^2, f4*f5^2*f6*f9, f4*f5^2*f6*f7^2*f8, f4*f5^2*f7*f8*f9^2, f2*f3*f5*f6*f7*f8*f9, f2*f5*f6*f7*f8*f9, f2*f3*f5^2*f6*f7^2*f8*f9^2, f2*f5^2*f6*f7^2*f9, f3*f9, f3*f7, f3*f7*f9, f3*f7*f9^2, f1*f9, f1*f9^2, f1*f7, f1*f7^2, f1*f7*f9, f1*f7^2*f9^2, f1*f7*f9^2, f1*f7^2*f9, f3*f8, f3*f6, f3*f7*f8, f3*f6*f8, f1*f8, f1*f3*f8, f1*f6, f1*f3*f6, f1*f7*f8, f1*f6*f9, f1*f6*f8, f1*f3*f6*f8, f3*f5, f3*f5*f9, f3*f5*f8, f3*f5*f7, f3*f5*f6, f3*f5*f7*f9, f3*f5*f7*f8, f3*f5*f6*f9, f3*f5*f6*f8, f1*f5, f1*f5^2, f1*f5*f9, f1*f5^2*f8, f1*f5*f8, f1*f5^2*f9, f1*f5*f7, f1*f5^2*f6, f1*f5*f6, f1*f5^2*f7, f1*f5*f7*f9, f1*f5^2*f6*f8, f1*f5*f7*f8, f1*f5^2*f6*f9, f1*f5*f6*f9, f1*f5^2*f7*f8, f1*f5*f6*f8, f1*f5^2*f7*f9];
chartbl_1728_39129.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];
chartbl_1728_39129.ComputedPowerMaps:= [ , [1, 1, 1, 1, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 2, 2, 2, 2, 4, 2, 5, 6, 8, 7, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 20, 20, 24, 25, 26, 27, 24, 24, 25, 25, 26, 26, 27, 27, 24, 25, 27, 26, 24, 24, 25, 25, 27, 27, 26, 26, 36, 37, 38, 39, 40, 41, 42, 43, 44, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44], [1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 19, 20, 21, 22, 23, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 46, 45, 48, 47, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19]];
chartbl_1728_39129.SizesCentralizers:= [1728, 1728, 576, 576, 864, 864, 864, 864, 216, 216, 216, 216, 216, 216, 216, 216, 216, 864, 432, 288, 144, 8, 8, 864, 864, 864, 864, 288, 288, 288, 288, 288, 288, 288, 288, 216, 216, 216, 216, 216, 216, 216, 216, 216, 16, 16, 16, 16, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 432, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108];
chartbl_1728_39129.ClassNames:= ["1A", "2A", "2B", "2C", "3A", "3B", "3C", "3D", "3E", "3F", "3G", "3H", "3I", "3J", "3K", "3L", "3M", "4A", "4B", "4C", "4D", "4E", "4F", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O", "6P", "6Q", "6R", "6S", "6T", "6U", "8A1", "8A3", "8B1", "8B3", "12A", "12B", "12C", "12D", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "12I", "12J", "12K", "12L", "12M1", "12M-1", "12N1", "12N-1", "12O1", "12O-1", "12P1", "12P-1", "12Q", "12R", "12S", "12T", "12U", "12V", "12W", "12X", "12Y", "12Z1", "12Z-1", "12AA1", "12AA-1", "12AB1", "12AB-1", "12AC1", "12AC-1", "12AD1", "12AD-1", "12AE1", "12AE-1", "12AF1", "12AF-1", "12AG1", "12AG-1", "12AH1", "12AH-1"];
chartbl_1728_39129.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 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, 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, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12];
chartbl_1728_39129.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], [2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, 2, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2], [2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1], [2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1], [2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1], [2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2], [2, 2, 2, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1], [2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1], [2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1], [2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2], [2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1], [2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, 2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2], [2, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1], [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -2, 2, -2, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 1, -1, -1, -2, 2, 1, 1, -1, -2, 1, 1, 1, 1, 1, -1, -2, 1, 1, -2, 1, 2, 1, -1, -1, -2, -1, -1, -2, -2, 1, 1, 1, 2, -1, 1, 1, 1, 2, -2, -1, 1, -1, 1, -1, 1, 2, 1, -2, -2, 1, 1], [2, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -2, 2, -2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, 0, 0, 0, 0, -2, 2, -1, 1, -1, 1, 1, -1, 1, -2, 1, 1, 1, -2, 2, 1, 1, -2, 1, 1, -1, 1, -1, -1, -2, -1, 2, 1, 1, -2, 1, 1, -1, -1, 1, 1, -2, -1, -2, 2, 1, -1, 1, -1, -2, 2, -2, 1, 1, 1, 1], [2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, 2, -2, 2, -2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 0, 0, 0, 0, -2, 2, -1, 1, -1, 1, 1, -1, 1, -2, 1, 1, 1, -2, 2, 1, 1, -2, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -2, 1, 1, 1, 2, -1, 1, -2, 1, -1, 1, -1, 1, 2, -2, 2, 1, -1, 1, -2, 1, -2, -2], [2, 2, 2, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -2, 2, -2, 0, 0, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, -2, 2, -1, 1, -1, 1, 1, -1, 1, -2, 1, 1, 1, -2, 2, 1, 1, -2, 1, 1, -1, 1, -1, -1, 1, 2, -1, -2, 1, 1, -2, -2, -1, 2, -2, 1, 1, 2, 1, -1, -2, -1, 1, -1, 1, -1, 1, 1, -2, 1, 1], [2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, -2, 2, -2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 1, -1, -1, 1, -1, -2, 1, 2, 1, 1, -2, 1, 1, 1, -1, 1, 1, 1, 1, -2, -1, -2, 2, -1, 1, 2, 2, 1, -2, 1, -2, 1, 2, -1, -2, 1, -2, -1, 1, -1, 1, -1, 1, -1, 1, -1, -2, -2, 1, 1, 1], [2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -2, 2, -2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 1, -1, -1, 1, -1, -2, 1, 2, 1, 1, -2, 1, 1, 1, -1, 1, 1, 1, 1, -2, -1, -2, 2, -1, -2, -1, -1, 1, 1, 1, 1, -2, -1, 2, 1, -2, 1, -1, -2, -1, -2, 2, -2, -1, 1, 2, 1, 1, 1, 1, 1], [2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -2, 2, -2, 0, 0, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 0, 0, 0, 0, 1, -1, -1, 1, -1, -2, 1, 2, 1, 1, -2, 1, 1, 1, -1, 1, 1, 1, 1, -2, -1, -2, 2, -1, 1, -1, -1, -2, 1, -2, 1, 1, -1, -1, 1, 1, 1, 2, 1, 2, 1, -1, 1, 2, -2, -1, 1, 1, -2, -2, -2], [2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, -2, 2, -2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 0, 0, 0, 0, 1, -1, 2, 1, -1, 1, -2, -1, 1, 1, 1, -2, -2, 1, -1, 1, -2, 1, 1, 1, -1, 1, -1, 2, 1, -1, -1, 1, -2, -2, 1, -2, 2, 2, 1, 1, 1, -1, 1, 2, -2, -1, 1, -1, -2, -1, 1, -2, 1, 1, 1], [2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, 2, -2, 2, -2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0, 1, -1, 2, 1, -1, 1, -2, -1, 1, 1, 1, -2, -2, 1, -1, 1, -2, 1, 1, 1, -1, 1, -1, 2, -2, 2, -1, 1, 1, 1, -2, 1, -1, -1, -2, 1, 1, -1, -2, -1, 1, -1, 1, 2, 1, 2, 1, 1, 1, -2, -2], [2, 2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -2, 2, -2, 0, 0, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 0, 0, 0, 0, 1, -1, 2, 1, -1, 1, -2, -1, 1, 1, 1, -2, -2, 1, -1, 1, -2, 1, 1, 1, -1, 1, -1, 2, 1, -1, 2, -2, 1, 1, 1, 1, -1, -1, 1, -2, -2, 2, 1, -1, 1, 2, -2, -1, 1, -1, -2, 1, -2, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -2, 2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1], [2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -2, 0, -2, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, 0, 0, 0, 0, -1-2*E(3), 1, 1, 0, -2, 1+2*E(3), 1+2*E(3), 1, 0, 1+2*E(3), -1-2*E(3), -1-2*E(3), 1+2*E(3), -1-2*E(3), 1, 0, -1-2*E(3), 1+2*E(3), 0, -1-2*E(3), -2, 1+2*E(3), 1, 1, -1-2*E(3), 1, -2, 1+2*E(3), 1+2*E(3), -1-2*E(3), 1+2*E(3), 0, 1, -2, -1-2*E(3), -1-2*E(3), 0, 1, 1+2*E(3), 1, 0, 1, 1+2*E(3), -2, 1+2*E(3), 1, 0, -1-2*E(3), -1-2*E(3), 0, 0], [2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, 2, -2, 0, -2, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, 0, 0, 0, 0, 1+2*E(3), 1, 1, 0, -2, -1-2*E(3), -1-2*E(3), 1, 0, -1-2*E(3), 1+2*E(3), 1+2*E(3), -1-2*E(3), 1+2*E(3), 1, 0, 1+2*E(3), -1-2*E(3), 0, 1+2*E(3), -2, -1-2*E(3), 1, 1, 1+2*E(3), 1, -2, -1-2*E(3), -1-2*E(3), 1+2*E(3), -1-2*E(3), 0, 1, -2, 1+2*E(3), 1+2*E(3), 0, 1, -1-2*E(3), 1, 0, 1, -1-2*E(3), -2, -1-2*E(3), 1, 0, 1+2*E(3), 1+2*E(3), 0, 0], [2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -2, 0, -2, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0, -1-2*E(3), 1, 1, 0, -2, 1+2*E(3), 1+2*E(3), 1, 0, 1+2*E(3), -1-2*E(3), -1-2*E(3), 1+2*E(3), -1-2*E(3), 1, 0, -1-2*E(3), 1+2*E(3), 0, -1-2*E(3), -2, 1+2*E(3), 1, 1, 1+2*E(3), -2, 1, -1-2*E(3), -1-2*E(3), 0, 0, 1+2*E(3), 1, 1, 0, 0, 1+2*E(3), 1, -1-2*E(3), -2, -1-2*E(3), -2, 0, 1, 0, 1, -1-2*E(3), 1+2*E(3), 1+2*E(3), -1-2*E(3), 1+2*E(3)], [2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -2, 0, -2, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0, 1+2*E(3), 1, 1, 0, -2, -1-2*E(3), -1-2*E(3), 1, 0, -1-2*E(3), 1+2*E(3), 1+2*E(3), -1-2*E(3), 1+2*E(3), 1, 0, 1+2*E(3), -1-2*E(3), 0, 1+2*E(3), -2, -1-2*E(3), 1, 1, -1-2*E(3), -2, 1, 1+2*E(3), 1+2*E(3), 0, 0, -1-2*E(3), 1, 1, 0, 0, -1-2*E(3), 1, 1+2*E(3), -2, 1+2*E(3), -2, 0, 1, 0, 1, 1+2*E(3), -1-2*E(3), -1-2*E(3), 1+2*E(3), -1-2*E(3)], [2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, -2, 0, -2, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 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0, -6, 3, -3-6*E(3), 3, 3+6*E(3), -3-6*E(3), 3, 3+6*E(3), 0, -3-6*E(3), 3+6*E(3), 1+2*E(3), 0, 2, 1+2*E(3), -1-2*E(3), 0, -1-2*E(3), 1+2*E(3), -1, -1-2*E(3), -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, 0, 0, 0], [6, 6, -2, -2, -3, -3, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 2, 0, 0, 0, -3, -3, -3, 6, 1, 1, -2, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 3+6*E(3), 3, -3-6*E(3), 3+6*E(3), 3, -3-6*E(3), 0, 3+6*E(3), -3-6*E(3), -1-2*E(3), 0, 2, -1-2*E(3), 1+2*E(3), 0, 1+2*E(3), -1-2*E(3), -1, 1+2*E(3), -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, 0, 0, 0], [6, 6, -2, -2, -3, 6, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 2, 0, 0, 0, -3, 6, -3, -3, 1, -2, 1, 1, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3-6*E(3), 3, 3, 3+6*E(3), 3, 0, -3-6*E(3), -6, -3-6*E(3), 3+6*E(3), 0, 3+6*E(3), 1+2*E(3), 1+2*E(3), -1, -1-2*E(3), -1-2*E(3), -1-2*E(3), 1+2*E(3), 0, -1, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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ConvertToLibraryCharacterTableNC(chartbl_1728_39129);