# Group 1728.47489 downloaded from the LMFDB on 11 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(197764571922485565482195931318246868713477144030777891374282791073,1728); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; e := GPC.6; f := GPC.8;
GPerm := Group( (1,2)(3,7)(5,8)(9,10)(11,13)(12,14), (9,11,12)(10,13,14), (3,4,7)(5,6,8)(9,11,12)(10,14,13), (9,12,11)(10,13,14), (4,6)(7,8), (3,5)(7,8), (1,3,2,5)(4,7,6,8), (1,4,2,6)(3,8,5,7), (1,2)(3,5)(4,6)(7,8) );

 
# Booleans 
booleans_1728_47489 := 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_47489:=rec(); 
chartbl_1728_47489.IsFinite:= true; 
chartbl_1728_47489.UnderlyingCharacteristic:= 0; 
chartbl_1728_47489.UnderlyingGroup:= GPerm;
chartbl_1728_47489.Size:= 1728;
chartbl_1728_47489.InfoText:= "Character table for group 1728.47489 downloaded from the LMFDB."; 
chartbl_1728_47489.Identifier:= " (Q8*C3^2):S4 "; 
chartbl_1728_47489.NrConjugacyClasses:= 72; 
chartbl_1728_47489.ConjugacyClasses:= [(), (1,2)(3,5)(4,6)(7,8), (4,6)(7,8), (1,3)(2,5)(4,7)(6,8), (1,3)(2,5)(4,6)(9,13)(10,12)(11,14), (9,12,11)(10,14,13), (9,11,12)(10,13,14), (9,12,11)(10,13,14), (10,14,13), (10,13,14), (3,7,6)(4,5,8), (3,7,6)(4,5,8)(9,12,11)(10,13,14), (3,7,6)(4,5,8)(9,11,12)(10,14,13), (3,7,6)(4,5,8)(10,14,13), (3,6,7)(4,8,5)(10,13,14), (3,7,6)(4,5,8)(10,13,14), (3,6,7)(4,8,5)(10,14,13), (3,7,6)(4,5,8)(9,12,11)(10,14,13), (3,6,7)(4,8,5)(9,11,12)(10,13,14), (1,5,2,3)(4,8,6,7), (1,5,2,3)(4,7,6,8), (4,8,6,7)(9,13)(10,12)(11,14), (1,2)(3,6,5,4)(7,8)(9,13)(10,12)(11,14), (1,2)(3,5)(4,6)(7,8)(9,12,11)(10,14,13), (1,2)(3,5)(4,6)(7,8)(9,11,12)(10,13,14), (1,2)(3,5)(4,6)(7,8)(9,12,11)(10,13,14), (1,2)(3,5)(4,6)(7,8)(10,14,13), (1,2)(3,5)(4,6)(7,8)(10,13,14), (4,6)(7,8)(9,11,12)(10,13,14), (4,6)(7,8)(9,12,11)(10,14,13), (4,6)(7,8)(9,11,12)(10,14,13), (4,6)(7,8)(10,13,14), (4,6)(7,8)(10,14,13), (1,3)(2,5)(4,7)(6,8)(10,13,14), (1,3)(2,5)(4,7)(6,8)(10,14,13), (1,3)(2,5)(4,7)(6,8)(9,11,12), (1,3)(2,5)(4,7)(6,8)(9,12,11), (1,3)(2,5)(4,7)(6,8)(9,11,12)(10,13,14), (1,3)(2,5)(4,7)(6,8)(9,12,11)(10,14,13), (1,3)(2,5)(4,7)(6,8)(9,11,12)(10,14,13), (1,3)(2,5)(4,7)(6,8)(9,12,11)(10,13,14), (1,2)(3,4,7,5,6,8), (1,2)(3,4,7,5,6,8)(9,11,12)(10,14,13), (1,2)(3,4,7,5,6,8)(9,12,11)(10,13,14), (1,2)(3,4,7,5,6,8)(10,13,14), (1,2)(3,4,7,5,6,8)(9,12,11), (1,2)(3,4,7,5,6,8)(10,14,13), (1,2)(3,4,7,5,6,8)(9,11,12), (1,2)(3,4,7,5,6,8)(9,11,12)(10,13,14), (1,2)(3,4,7,5,6,8)(9,12,11)(10,14,13), (1,3)(2,5)(4,6)(9,14,12,13,11,10), (1,3)(2,5)(4,6)(9,10,11,13,12,14), (1,7,4,3,2,8,6,5)(9,10)(11,13)(12,14), (1,4,8,5,2,6,7,3)(9,10)(11,13)(12,14), (1,6,2,4)(3,7,5,8)(9,11,12)(10,13,14), (1,4,2,6)(3,8,5,7)(9,12,11)(10,14,13), (1,7,2,8)(3,6,5,4)(9,12,11)(10,14,13), (1,8,2,7)(3,4,5,6)(9,11,12)(10,13,14), (1,3,2,5)(4,7,6,8)(9,11,12)(10,14,13), (1,3,2,5)(4,8,6,7)(9,11,12)(10,14,13), (1,3,2,5)(4,7,6,8)(10,13,14), (1,3,2,5)(4,7,6,8)(10,14,13), (1,3,2,5)(4,8,6,7)(10,13,14), (1,3,2,5)(4,8,6,7)(10,14,13), (4,7,6,8)(9,10,11,13,12,14), (4,7,6,8)(9,10,12,14,11,13), (1,2)(3,4,5,6)(7,8)(9,10,11,13,12,14), (1,2)(3,4,5,6)(7,8)(9,10,12,14,11,13), (1,3,6,7,2,5,4,8)(9,14,11,10,12,13), (1,8,4,5,2,7,6,3)(9,13,12,10,11,14), (1,5,7,4,2,3,8,6)(9,13,12,10,11,14), (1,6,8,3,2,4,7,5)(9,14,11,10,12,13)];
chartbl_1728_47489.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_1728_47489.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 7, 6, 8, 10, 9, 11, 12, 13, 15, 14, 17, 16, 19, 18, 2, 2, 3, 3, 7, 6, 8, 10, 9, 6, 7, 8, 9, 10, 9, 10, 9, 10, 6, 7, 8, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 6, 7, 20, 21, 24, 25, 25, 24, 26, 26, 27, 28, 27, 28, 29, 30, 29, 30, 55, 56, 57, 58], [1, 2, 3, 4, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 20, 21, 22, 23, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 53, 54, 20, 20, 21, 21, 20, 21, 20, 20, 21, 21, 22, 22, 23, 23, 53, 53, 54, 54]];
chartbl_1728_47489.SizesCentralizers:= [1728, 1728, 288, 144, 24, 1728, 1728, 864, 864, 864, 54, 54, 54, 54, 54, 54, 54, 54, 54, 288, 288, 48, 48, 1728, 1728, 864, 864, 864, 288, 288, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 54, 54, 54, 54, 54, 54, 54, 54, 54, 24, 24, 24, 24, 288, 288, 288, 288, 144, 144, 144, 144, 144, 144, 48, 48, 48, 48, 24, 24, 24, 24];
chartbl_1728_47489.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "3A1", "3A-1", "3B", "3C1", "3C-1", "3D", "3E", "3F", "3G1", "3G-1", "3H1", "3H-1", "3I1", "3I-1", "4A", "4B", "4C", "4D", "6A1", "6A-1", "6B", "6C1", "6C-1", "6D1", "6D-1", "6E", "6F1", "6F-1", "6G1", "6G-1", "6H1", "6H-1", "6I1", "6I-1", "6J1", "6J-1", "6K", "6L", "6M", "6N1", "6N-1", "6O1", "6O-1", "6P1", "6P-1", "6Q1", "6Q-1", "8A", "8B", "12A1", "12A-1", "12B1", "12B-1", "12C", "12D", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "24A1", "24A-1", "24B1", "24B-1"];
chartbl_1728_47489.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 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, 6, 6, 8, 8, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24];
chartbl_1728_47489.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, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, 1, 1, E(3)^-1, 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, 1, 1, E(3)^-1, E(3), E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3)^-1, E(3), 1, 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), E(3), E(3)^-1], [1, 1, 1, 1, 1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, 1, 1, E(3), E(3)^-1, 1, 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, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, E(3)^-1, E(3), E(3), E(3)^-1, 1, 1, E(3), 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)], [1, 1, 1, 1, -1, E(3)^-1, E(3), 1, E(3), E(3)^-1, E(3), 1, 1, 1, E(3)^-1, E(3)^-1, E(3), E(3)^-1, E(3), 1, 1, -1, -1, E(3)^-1, 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, 1, 1, E(3)^-1, E(3), E(3), 1, 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1, -1, E(3), E(3)^-1, E(3)^-1, E(3), 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), -1*E(3)^-1, -1*E(3), -1*E(3), -1*E(3)^-1], [1, 1, 1, 1, -1, E(3), E(3)^-1, 1, E(3)^-1, E(3), E(3)^-1, 1, 1, 1, E(3), E(3), E(3)^-1, E(3), E(3)^-1, 1, 1, -1, -1, E(3), E(3)^-1, 1, 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, 1, 1, E(3), E(3)^-1, E(3)^-1, 1, 1, 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, E(3), E(3), E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, -1*E(3)], [2, 2, 2, 2, 0, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 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, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2*E(3), -1, -1, 2, 2*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 2, 2, 0, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3), -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1, -1, -1, -1*E(3)^-1, -1*E(3), 2*E(3), -1, -1, 2, 2*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, -1, -1, 2, 2*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, 2, 0, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3), -1, -1, -1, -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1, -1, 2, 2*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1, 2, -1, -1*E(3)^-1, 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), 2, 2, 0, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3), -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), 2, -1, -1, -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1, 2, -1, -1*E(3), 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, 2, 0, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3), -1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3)^-1, 2, -1, -1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3)^-1, -1, -1, -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, -1*E(3), 2, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), 2, 2, 0, 0, 2*E(3)^-1, 2*E(3), -1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3), -1*E(3), -1*E(3)^-1, 2*E(3)^-1, -1, -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3), -1, 2, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 2, -1, -1, -1*E(3), -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, 2, 2, 0, 0, 2*E(3), 2*E(3)^-1, -1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), -1*E(3), 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0, 0, 0, 0, 0, 0], [6, 6, -2, 2, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, -2*E(3), -2*E(3)^-1, -1+3*E(3), -4-3*E(3), 2*E(3), 4+E(3), 3-E(3), 2*E(3)^-1, 1, 1+4*E(3), -3-4*E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, 2, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), -2*E(3)^-1, -2*E(3), -4-3*E(3), -1+3*E(3), 2*E(3)^-1, 3-E(3), 4+E(3), 2*E(3), 1, -3-4*E(3), 1+4*E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, 2, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 6*E(3)^-1, 6*E(3), -3, -3*E(3), -3*E(3)^-1, -2*E(3), -2*E(3)^-1, 3-E(3), 4+E(3), 2*E(3), -4-3*E(3), -1+3*E(3), 2*E(3)^-1, 1, -3-4*E(3), 1+4*E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 1, 1, E(3)^-1, E(3), E(3)^-1, E(3), 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, -2, 2, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 6*E(3), 6*E(3)^-1, -3, -3*E(3)^-1, -3*E(3), -2*E(3)^-1, -2*E(3), 4+E(3), 3-E(3), 2*E(3)^-1, -1+3*E(3), -4-3*E(3), 2*E(3), 1, 1+4*E(3), -3-4*E(3), E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3), -2*E(3), -2*E(3)^-1, 1, 1, E(3), E(3)^-1, E(3), E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 8, 8, 8, 8, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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], [8, -8, 0, 0, 0, 8, 8, -4, -4, -4, -1, -1, 2, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, -8, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, 1, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 8, 8, -4, -4, -4, -1, 2, -1, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, -8, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 8, 8, -4, -4, -4, 2, -1, -1, 2, 2, -1, -1, -1, -1, 0, 0, 0, 0, -8, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, -2, -2, 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], [8, -8, 0, 0, 0, 8*E(3)^-1, 8*E(3), -4, -4*E(3), -4*E(3)^-1, 2*E(3), -1, -1, 2, 2*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, -8*E(3)^-1, -8*E(3), 4, 4*E(3), 4*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), 1, 1, -2, -2*E(3)^-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, 0, 0], [8, -8, 0, 0, 0, 8*E(3), 8*E(3)^-1, -4, -4*E(3)^-1, -4*E(3), 2*E(3)^-1, -1, -1, 2, 2*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, -8*E(3), -8*E(3)^-1, 4, 4*E(3)^-1, 4*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, 1, 1, -2, -2*E(3), 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, 0, 0], [8, -8, 0, 0, 0, 8*E(3)^-1, 8*E(3), -4, -4*E(3), -4*E(3)^-1, -1*E(3), -1, 2, -1, -1*E(3)^-1, 2*E(3)^-1, 2*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, -8*E(3)^-1, -8*E(3), 4, 4*E(3), 4*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), -2, 1, 1, E(3)^-1, -2*E(3), -2*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, 0, 0], [8, -8, 0, 0, 0, 8*E(3), 8*E(3)^-1, -4, -4*E(3)^-1, -4*E(3), -1*E(3)^-1, -1, 2, -1, -1*E(3), 2*E(3), 2*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, -8*E(3), -8*E(3)^-1, 4, 4*E(3)^-1, 4*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, -2, 1, 1, E(3), -2*E(3)^-1, -2*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, 0, 0], [8, -8, 0, 0, 0, 8*E(3)^-1, 8*E(3), -4, -4*E(3), -4*E(3)^-1, -1*E(3), 2, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, -8*E(3)^-1, -8*E(3), 4, 4*E(3), 4*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), 1, -2, 1, E(3)^-1, E(3), E(3)^-1, -2*E(3), -2*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], [8, -8, 0, 0, 0, 8*E(3), 8*E(3)^-1, -4, -4*E(3)^-1, -4*E(3), -1*E(3)^-1, 2, -1, -1, -1*E(3), -1*E(3), -1*E(3)^-1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, -8*E(3), -8*E(3)^-1, 4, 4*E(3)^-1, 4*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, 1, -2, 1, E(3), E(3)^-1, E(3), -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, -8, 0, 0, 0, 8*E(3)^-1, 8*E(3), 8, 8*E(3), 8*E(3)^-1, -1*E(3), -1, -1, -1, -1*E(3)^-1, -1*E(3)^-1, -1*E(3), -1*E(3)^-1, -1*E(3), 0, 0, 0, 0, -8*E(3)^-1, -8*E(3), -8, -8*E(3), -8*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3), 1, 1, 1, E(3)^-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, 0, 0], [8, -8, 0, 0, 0, 8*E(3), 8*E(3)^-1, 8, 8*E(3)^-1, 8*E(3), -1*E(3)^-1, -1, -1, -1, -1*E(3), -1*E(3), -1*E(3)^-1, -1*E(3), -1*E(3)^-1, 0, 0, 0, 0, -8*E(3), -8*E(3)^-1, -8, -8*E(3)^-1, -8*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, E(3)^-1, 1, 1, 1, E(3), 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, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_1728_47489);