# Group 432.624 downloaded from the LMFDB on 06 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(47059216305362613643315984858721558173077,432); a := GPC.1; b := GPC.4; c := GPC.6;
GPerm := Group( (1,2,3,4)(9,10), (12,14,13), (5,6,7), (1,3)(2,4), (11,12)(13,14), (11,13)(12,14), (8,9,10) );
GLZN := Group([[[ZmodnZObj(25,28), ZmodnZObj(0,28)], [ZmodnZObj(0,28), ZmodnZObj(25,28)]],[[ZmodnZObj(2,28), ZmodnZObj(21,28)], [ZmodnZObj(21,28), ZmodnZObj(9,28)]],[[ZmodnZObj(25,28), ZmodnZObj(0,28)], [ZmodnZObj(0,28), ZmodnZObj(1,28)]],[[ZmodnZObj(13,28), ZmodnZObj(0,28)], [ZmodnZObj(0,28), ZmodnZObj(13,28)]],[[ZmodnZObj(1,28), ZmodnZObj(14,28)], [ZmodnZObj(14,28), ZmodnZObj(1,28)]],[[ZmodnZObj(7,28), ZmodnZObj(8,28)], [ZmodnZObj(6,28), ZmodnZObj(7,28)]],[[ZmodnZObj(15,28), ZmodnZObj(0,28)], [ZmodnZObj(14,28), ZmodnZObj(15,28)]]]);

 
# Booleans 
booleans_432_624 := 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 := false); 

 
# Character Table 
chartbl_432_624:=rec(); 
chartbl_432_624.IsFinite:= true; 
chartbl_432_624.UnderlyingCharacteristic:= 0; 
chartbl_432_624.UnderlyingGroup:= GPC;
chartbl_432_624.Size:= 432;
chartbl_432_624.InfoText:= "Character table for group 432.624 downloaded from the LMFDB."; 
chartbl_432_624.Identifier:= " C6^2:C12 "; 
chartbl_432_624.NrConjugacyClasses:= 72; 
chartbl_432_624.ConjugacyClasses:= [<identity> of ..., f2*f3, f4*f5*f6*f7, f2*f3*f4*f5*f6*f7, f5*f7, f5^2*f7^2, f5^2, f7^2, f7, f3, f3^2, f3*f5*f7, f3^2*f5^2*f7^2, f3*f5^2*f6, f3^2*f4*f5^2*f6*f7^2, f3*f7^2, f3^2*f7, f3*f4*f5*f7, f3^2*f6, f3*f5^2, f3^2*f5, f1*f3^2*f5^2, f1*f2*f5^2, f1*f3^2*f5*f6*f7, f1*f2*f5*f6*f7, f2*f3*f5^2*f7^2, f2*f3*f5*f7, f2*f3*f5, f2*f3*f7, f2*f3*f7^2, f4*f6, f5*f6*f7^2, f2*f3*f4*f6, f2*f3*f5*f6*f7^2, f2, f2*f3^2, f2*f5^2*f7^2, f2*f3^2*f5*f7, f2*f4*f5^2*f6*f7^2, f2*f3^2*f5^2*f6, f4, f2*f3*f4, f6, f4*f7, f2*f3*f6, f2*f3*f4*f7, f2*f7, f2*f3^2*f6, f2*f6, f2*f3^2*f7, f2*f5, f2*f3^2*f5, f1*f2*f7, f1*f3^2*f7^2, f1*f2*f7^2, f1*f3^2*f7, f1*f2*f6, f1*f3^2*f4*f7, f1*f2*f4*f7, f1*f3^2*f6, f1, f1*f2*f3^2, f1*f3, f1*f2*f3, f1*f7, f1*f2*f3^2*f6, f1*f3*f6, f1*f2*f3*f7, f1*f6, f1*f2*f3^2*f7, f1*f3*f7, f1*f2*f3*f6];
chartbl_432_624.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];
chartbl_432_624.ComputedPowerMaps:= [ , [1, 1, 1, 1, 6, 5, 7, 9, 8, 11, 10, 13, 12, 15, 14, 17, 16, 19, 18, 21, 20, 2, 2, 2, 2, 5, 6, 7, 8, 9, 5, 6, 5, 6, 10, 11, 12, 13, 14, 15, 7, 7, 9, 8, 9, 8, 16, 17, 18, 19, 20, 21, 26, 27, 27, 26, 27, 26, 26, 27, 35, 36, 36, 35, 37, 38, 38, 37, 39, 40, 40, 39], [1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 22, 25, 24, 2, 2, 2, 2, 2, 3, 3, 4, 4, 2, 2, 2, 2, 2, 2, 3, 4, 3, 3, 4, 4, 2, 2, 2, 2, 2, 2, 22, 23, 22, 23, 24, 25, 24, 25, 23, 22, 23, 22, 23, 22, 23, 22, 23, 22, 23, 22]];
chartbl_432_624.SizesCentralizers:= [432, 432, 144, 144, 432, 432, 216, 216, 216, 108, 108, 108, 108, 108, 108, 54, 54, 54, 54, 54, 54, 144, 144, 48, 48, 432, 432, 216, 216, 216, 144, 144, 144, 144, 108, 108, 108, 108, 108, 108, 72, 72, 72, 72, 72, 72, 54, 54, 54, 54, 54, 54, 144, 144, 144, 144, 48, 48, 48, 48, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36];
chartbl_432_624.ClassNames:= ["1A", "2A", "2B", "2C", "3A1", "3A-1", "3B", "3C1", "3C-1", "3D1", "3D-1", "3E1", "3E-1", "3F1", "3F-1", "3G1", "3G-1", "3H1", "3H-1", "3I1", "3I-1", "4A1", "4A-1", "4B1", "4B-1", "6A1", "6A-1", "6B", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "6H1", "6H-1", "6I", "6J", "6K1", "6K-1", "6L1", "6L-1", "6M1", "6M-1", "6N1", "6N-1", "6O1", "6O-1", "12A1", "12A-1", "12A5", "12A-5", "12B1", "12B-1", "12B5", "12B-5", "12C1", "12C-1", "12C5", "12C-5", "12D1", "12D-1", "12D5", "12D-5", "12E1", "12E-1", "12E5", "12E-5"];
chartbl_432_624.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12];
chartbl_432_624.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, 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), E(3)^-1, E(3), 1, 1, E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, 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, 1, 1, E(3), E(3), 1, 1, E(3)^-1, E(3)^-1, E(3)], [1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3), 1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, 1, 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), 1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3), E(3), E(3)^-1], [1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), 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), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, E(3), 1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3)^-1], [1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3)^-1, 1, E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)], [1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 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)^-1, E(3), 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3), 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), 1, E(3), E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, 1, 1, E(3)^-1, 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)^-1, 1, E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, 1, E(3)^-1, 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)^-1, E(3)^-1, E(3), E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3), E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, 1, 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), E(3)^-1, E(3), E(3)^-1, E(3)], [1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, 1, 1, 1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-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, -1, -1, -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), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), 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, E(4), -1*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*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), E(4), E(4), E(4), -1*E(4), E(4), -1*E(4), E(4), -1*E(4), -1*E(4), -1*E(4), E(4), -1*E(4), E(4), E(4)], [1, 1, 1, 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), E(3)^-1, E(3), 1, 1, E(3)^-1, -1, -1, -1, -1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), E(3), 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, 1, 1, E(3), -1*E(3)^-1, -1*E(3), -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, -1*E(3)^-1, -1, -1, -1*E(3), -1*E(3), -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3), 1, E(3)^-1, E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), -1, -1, -1, -1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, -1*E(3), -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, -1*E(3)^-1, -1*E(3), -1*E(3), -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1, -1, -1*E(3), -1*E(3), -1*E(3)^-1], [1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), E(3)^-1, 1, -1, -1, -1, -1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), E(3), 1, E(3)^-1, E(3)^-1, E(3), 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, -1*E(3), -1, -1*E(3)^-1, -1*E(3), -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1], [1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, E(3), 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 1, -1, -1, -1, -1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), E(3)^-1, 1, E(3), E(3)^-1, E(3), 1, E(3)^-1, E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), -1*E(3), -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, -1, -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, -1*E(3)^-1, -1*E(3)], [1, 1, 1, 1, E(3)^-1, E(3), 1, E(3), E(3)^-1, 1, E(3), E(3), E(3)^-1, 1, E(3)^-1, E(3)^-1, 1, 1, E(3)^-1, E(3), E(3), -1, -1, -1, -1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3), E(3)^-1, E(3)^-1, E(3), 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)^-1, E(3), 1, E(3), E(3)^-1, 1, -1*E(3)^-1, -1*E(3), -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, -1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 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E(12), -1*E(12), -1*E(12)^3, -1*E(12)^3], [1, -1, 1, -1, E(12)^4, -1*E(12)^2, 1, -1*E(12)^2, E(12)^4, 1, -1*E(12)^2, -1*E(12)^2, E(12)^4, 1, E(12)^4, E(12)^4, 1, 1, E(12)^4, -1*E(12)^2, -1*E(12)^2, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, E(12)^2, -1*E(12)^4, -1, -1*E(12)^4, E(12)^2, E(12)^2, E(12)^4, -1*E(12)^4, -1*E(12)^2, -1*E(12)^4, E(12)^2, -1*E(12)^4, -1, E(12)^2, -1, -1*E(12)^2, -1, -1*E(12)^4, E(12)^4, E(12)^2, 1, -1*E(12)^4, E(12)^2, -1, E(12)^2, -1*E(12)^4, -1, E(12), -1*E(12)^5, E(12)^5, -1*E(12), E(12), E(12)^5, -1*E(12), -1*E(12)^5, -1*E(12), -1*E(12)^3, -1*E(12)^5, E(12)^5, -1*E(12), E(12), -1*E(12)^3, E(12), -1*E(12)^5, E(12)^5, E(12)^3, E(12)^3], [1, -1, 1, -1, -1*E(12)^2, E(12)^4, 1, E(12)^4, -1*E(12)^2, 1, E(12)^4, E(12)^4, -1*E(12)^2, 1, -1*E(12)^2, -1*E(12)^2, 1, 1, -1*E(12)^2, E(12)^4, E(12)^4, E(12)^3, -1*E(12)^3, E(12)^3, -1*E(12)^3, -1*E(12)^4, E(12)^2, -1, E(12)^2, -1*E(12)^4, -1*E(12)^4, -1*E(12)^2, E(12)^2, E(12)^4, E(12)^2, -1*E(12)^4, E(12)^2, -1, 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1, E(3), -1*E(3), E(3)^-1, -1, E(3)^-1, E(3), E(3), 1, 1, E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2*E(3), 2, 2*E(3)^-1, 2, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 1, E(3)^-1, E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2, -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2, -2*E(3), -1*E(3), 1, E(3)^-1, -1*E(3)^-1, E(3), -1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2, 2*E(3), 2, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), 1, E(3), E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), 2*E(3)^-1, -2, -2*E(3), -2*E(3)^-1, -2*E(3), -2, -2*E(3)^-1, -1*E(3)^-1, 1, E(3), -1*E(3), E(3)^-1, -1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2, 2*E(3), 2*E(3), 2*E(3)^-1, 2, 2*E(3)^-1, -1*E(3)^-1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 1, E(3)^-1, E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2, -2*E(3), -2, -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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2, 2*E(3), -1*E(3), -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), 1, E(3), E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2, -2*E(3)^-1, -2, -1*E(3)^-1, 1, E(3), -1*E(3), E(3)^-1, -1, E(3), 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], [2, -2, 2, -2, 2, 2, -1, -1, -1, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, -2, -2, 1, 1, 1, -2, 2, -2, 2, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, -1, 1, 1, -1, 1, -1, E(3)^-1, E(3), E(3)^-1, E(3)^-1, E(3), E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, 2, -2, 2, 2, -1, -1, -1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, -2, -2, 1, 1, 1, -2, 2, -2, 2, -2*E(3), -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), -1, 1, 1, -1, 1, -1, E(3), E(3)^-1, E(3), E(3), 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], [3, 3, -1, -1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -1, -1, 3, 3, 3, 3, 3, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -1, -1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 1, 1, 3, 3, 3, 3, 3, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -1, -1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -1, -1, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, -1*E(3), -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 3*E(3), 3*E(3)^-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], [3, 3, -1, -1, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -1, -1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 3*E(3)^-1, 3*E(3), -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], [3, -3, -1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(4), 3*E(4), E(4), -1*E(4), -3, -3, -3, -3, -3, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 3*E(4), -3*E(4), 3*E(4), -3*E(4), -1*E(4), -1*E(4), E(4), E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 1, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(4), -3*E(4), -1*E(4), E(4), -3, -3, -3, -3, -3, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -3*E(4), 3*E(4), -3*E(4), 3*E(4), E(4), E(4), -1*E(4), -1*E(4), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -1, -1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 1, 1, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, -1*E(3), -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1, 0, 0, 0, 0, 0, 0, -3*E(3)^-1, -3*E(3), -3*E(3), -3*E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -1, -1, 3*E(3), 3*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 1, 1, 3*E(3)^-1, 3*E(3), 3, 3*E(3), 3*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1, -1*E(3), -1*E(3), -1*E(3)^-1, -1, 0, 0, 0, 0, 0, 0, -3*E(3), -3*E(3)^-1, -3*E(3)^-1, -3*E(3), E(3), E(3)^-1, E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 1, -3*E(12)^2, 3*E(12)^4, 3, 3*E(12)^4, -3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(12)^3, 3*E(12)^3, E(12)^3, -1*E(12)^3, -3*E(12)^4, 3*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, E(12)^4, E(12)^2, -1*E(12)^2, -1*E(12)^4, 0, 0, 0, 0, 0, 0, -1*E(12)^4, 1, -1*E(12)^2, E(12)^2, E(12)^4, -1, 0, 0, 0, 0, 0, 0, -3*E(12)^5, 3*E(12), -3*E(12), 3*E(12)^5, E(12)^5, E(12), -1*E(12)^5, -1*E(12), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 1, 3*E(12)^4, -3*E(12)^2, 3, -3*E(12)^2, 3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(12)^3, -3*E(12)^3, -1*E(12)^3, E(12)^3, 3*E(12)^2, -3*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, -1*E(12)^2, -1*E(12)^4, E(12)^4, E(12)^2, 0, 0, 0, 0, 0, 0, E(12)^2, 1, E(12)^4, -1*E(12)^4, -1*E(12)^2, -1, 0, 0, 0, 0, 0, 0, 3*E(12), -3*E(12)^5, 3*E(12)^5, -3*E(12), -1*E(12), -1*E(12)^5, E(12), E(12)^5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 1, -3*E(12)^2, 3*E(12)^4, 3, 3*E(12)^4, -3*E(12)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(12)^3, -3*E(12)^3, -1*E(12)^3, E(12)^3, -3*E(12)^4, 3*E(12)^2, -3, 3*E(12)^2, -3*E(12)^4, E(12)^4, E(12)^2, -1*E(12)^2, -1*E(12)^4, 0, 0, 0, 0, 0, 0, -1*E(12)^4, 1, -1*E(12)^2, E(12)^2, E(12)^4, -1, 0, 0, 0, 0, 0, 0, 3*E(12)^5, -3*E(12), 3*E(12), -3*E(12)^5, -1*E(12)^5, -1*E(12), E(12)^5, E(12), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 1, 3*E(12)^4, -3*E(12)^2, 3, -3*E(12)^2, 3*E(12)^4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(12)^3, 3*E(12)^3, E(12)^3, -1*E(12)^3, 3*E(12)^2, -3*E(12)^4, -3, -3*E(12)^4, 3*E(12)^2, -1*E(12)^2, -1*E(12)^4, E(12)^4, E(12)^2, 0, 0, 0, 0, 0, 0, E(12)^2, 1, E(12)^4, -1*E(12)^4, -1*E(12)^2, -1, 0, 0, 0, 0, 0, 0, -3*E(12), 3*E(12)^5, -3*E(12)^5, 3*E(12), E(12), E(12)^5, -1*E(12), -1*E(12)^5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, -2, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -3, -3, -3, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 0, 0], [6, -6, -2, 2, 6, 6, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 3, 3, 3, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 1, -1, -1, 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, 0, 0], [6, 6, -2, -2, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, E(3), 1, E(3)^-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], [6, 6, -2, -2, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, E(3)^-1, 1, E(3), E(3), 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], [6, -6, -2, 2, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(3), -6*E(3)^-1, 3, 3*E(3)^-1, 3*E(3), 2*E(3), -2*E(3)^-1, 2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, E(3), -1, -1*E(3)^-1, E(3)^-1, -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], [6, -6, -2, 2, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(3)^-1, -6*E(3), 3, 3*E(3), 3*E(3)^-1, 2*E(3)^-1, -2*E(3), 2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, E(3)^-1, -1, -1*E(3), E(3), -1*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]];
ConvertToLibraryCharacterTableNC(chartbl_432_624);