# Group 324.150 downloaded from the LMFDB on 27 September 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(2876064266664502483997,324); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; e := GPC.5;
GPerm := Group( (2,5)(3,6)(7,9)(11,12)(13,14), (13,14), (10,11,12), (1,2,5)(3,6,4)(7,9,8)(10,12,11), (1,3,6)(2,5,8)(4,7,9)(10,12,11), (1,4,8)(2,3,7)(5,6,9) );
GLFp := Group([[[ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3)^0, 0*Z(3), Z(3)^0 ]], [[ Z(3)^0, Z(3), Z(3)^0, Z(3)^0 ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ Z(3)^0, Z(3)^0, Z(3), Z(3)^0 ]], [[ Z(3), Z(3)^0, Z(3), Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3) ], [ 0*Z(3), Z(3), Z(3)^0, 0*Z(3) ]], [[ Z(3)^0, 0*Z(3), 0*Z(3), Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ Z(3), 0*Z(3), Z(3), Z(3) ], [ Z(3)^0, 0*Z(3), 0*Z(3), 0*Z(3) ]], [[ Z(3), 0*Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), Z(3), 0*Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), Z(3), 0*Z(3) ], [ 0*Z(3), 0*Z(3), 0*Z(3), Z(3) ]], [[ 0*Z(3), Z(3), 0*Z(3), Z(3)^0 ], [ 0*Z(3), Z(3)^0, Z(3)^0, Z(3)^0 ], [ Z(3)^0, 0*Z(3), Z(3)^0, 0*Z(3) ], [ Z(3), Z(3), Z(3), 0*Z(3) ]]]);

 
# Booleans 
booleans_324_150 := 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 := true); 

 
# Character Table 
chartbl_324_150:=rec(); 
chartbl_324_150.IsFinite:= true; 
chartbl_324_150.UnderlyingCharacteristic:= 0; 
chartbl_324_150.UnderlyingGroup:= GLFp;
chartbl_324_150.Size:= 324;
chartbl_324_150.InfoText:= "Character table for group 324.150 downloaded from the LMFDB."; 
chartbl_324_150.Identifier:= " C3^3:D6 "; 
chartbl_324_150.NrConjugacyClasses:= 42; 
chartbl_324_150.ConjugacyClasses:= [[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2], [2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1], [1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2], [1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0], [2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0], [2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1], [0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1], [2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0], [2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1], [1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1], [1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0], [2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1], [2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1], [1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0], [2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0], [2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1], [2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2], [2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0], [2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1], [0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2], [0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0], [0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1], [0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2], [2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1], [0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1], [2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2], [0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1], [2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2], [0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1], [0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1], [0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1], [2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0], [2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1], [2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0], [2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2]];
chartbl_324_150.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];
chartbl_324_150.ComputedPowerMaps:= [ , [1, 1, 1, 1, 6, 5, 7, 9, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 5, 6, 5, 6], [1, 2, 3, 4, 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, 2, 2, 2, 2, 3, 3, 4, 4]];
chartbl_324_150.SizesCentralizers:= [324, 324, 12, 12, 324, 324, 162, 162, 162, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 324, 324, 162, 162, 162, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 12, 12, 12, 12];
chartbl_324_150.ClassNames:= ["1A", "2A", "2B", "2C", "3A1", "3A-1", "3B", "3C1", "3C-1", "3D", "3E", "3F", "3G", "3H", "3I", "3J", "3K", "3L", "3M", "3N", "3O", "6A1", "6A-1", "6B", "6C1", "6C-1", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O", "6P1", "6P-1", "6Q1", "6Q-1"];
chartbl_324_150.OrderClassRepresentatives:= [1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6];
chartbl_324_150.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], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, 2, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, -2, 1, -2, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -2, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -2, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, -2, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, -2, -2, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, 1, -2, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -2, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, 2, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, 1, 0, 0, 0, 0], [2, -2, 0, 0, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -2, -2, -2, -2, -2, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, -2, 0, 0, 0, 0], [3, 3, 1, 1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), E(3)^-1, E(3), E(3)^-1], [3, 3, 1, 1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, E(3), E(3)^-1, E(3)], [3, 3, -1, -1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1], [3, 3, -1, -1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)], [3, -3, -1, 1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(3), -3*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3), -1*E(3)^-1, E(3), E(3)^-1], [3, -3, -1, 1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(3)^-1, -3*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1*E(3)^-1, -1*E(3), E(3)^-1, E(3)], [3, -3, 1, -1, 3*E(3)^-1, 3*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(3), -3*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1], [3, -3, 1, -1, 3*E(3), 3*E(3)^-1, 3, 3*E(3), 3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3*E(3)^-1, -3*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, E(3), -1*E(3)^-1, -1*E(3)], [6, 6, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(3), 6*E(3)^-1, -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, 6, 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6*E(3)^-1, 6*E(3), -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, -6, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(3), -6*E(3)^-1, 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, -6, 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6*E(3)^-1, -6*E(3), 3, 3*E(3)^-1, 3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_324_150);