# Group 384.17286 downloaded from the LMFDB on 30 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(782969173308929508663297,384); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; e := GPC.5; f := GPC.6;
GPerm := Group( (1,2)(3,6)(4,7)(5,8)(10,11), (1,3)(2,6)(4,5)(7,8)(9,10)(11,12), (2,7)(6,8)(9,11)(10,12), (2,8)(6,7), (13,15,14), (9,12)(10,11), (1,4)(2,7)(3,5)(6,8)(9,12)(10,11), (1,5)(2,8)(3,4)(6,7) );
GLZN := Group([[[ZmodnZObj(1,24), ZmodnZObj(8,24)], [ZmodnZObj(0,24), ZmodnZObj(1,24)]],[[ZmodnZObj(16,24), ZmodnZObj(9,24)], [ZmodnZObj(21,24), ZmodnZObj(16,24)]],[[ZmodnZObj(7,24), ZmodnZObj(0,24)], [ZmodnZObj(0,24), ZmodnZObj(7,24)]],[[ZmodnZObj(8,24), ZmodnZObj(3,24)], [ZmodnZObj(21,24), ZmodnZObj(8,24)]],[[ZmodnZObj(7,24), ZmodnZObj(0,24)], [ZmodnZObj(0,24), ZmodnZObj(1,24)]],[[ZmodnZObj(13,24), ZmodnZObj(12,24)], [ZmodnZObj(12,24), ZmodnZObj(13,24)]],[[ZmodnZObj(1,24), ZmodnZObj(12,24)], [ZmodnZObj(0,24), ZmodnZObj(1,24)]],[[ZmodnZObj(13,24), ZmodnZObj(0,24)], [ZmodnZObj(0,24), ZmodnZObj(13,24)]]]);
GLFq := Group([[[Z(4)^0, 0*Z(4), 0*Z(4), 0*Z(4)], [0*Z(4), Z(4)^0, 0*Z(4), 0*Z(4)], [Z(4)^1, 0*Z(4), Z(4)^0, Z(4)^1], [0*Z(4), 0*Z(4), 0*Z(4), Z(4)^0]],[[Z(4)^1, Z(4)^0, 0*Z(4), Z(4)^0], [0*Z(4), Z(4)^2, 0*Z(4), 0*Z(4)], [Z(4)^1, 0*Z(4), Z(4)^2, 0*Z(4)], [Z(4)^0, Z(4)^0, 0*Z(4), Z(4)^1]],[[Z(4)^1, 0*Z(4), 0*Z(4), Z(4)^0], [0*Z(4), Z(4)^2, 0*Z(4), 0*Z(4)], [0*Z(4), Z(4)^2, Z(4)^2, Z(4)^1], [Z(4)^0, 0*Z(4), 0*Z(4), Z(4)^1]],[[Z(4)^2, 0*Z(4), 0*Z(4), Z(4)^1], [0*Z(4), Z(4)^0, 0*Z(4), 0*Z(4)], [Z(4)^1, 0*Z(4), Z(4)^0, Z(4)^0], [Z(4)^1, 0*Z(4), 0*Z(4), Z(4)^2]],[[Z(4)^1, 0*Z(4), 0*Z(4), Z(4)^2], [0*Z(4), Z(4)^0, 0*Z(4), 0*Z(4)], [Z(4)^2, 0*Z(4), Z(4)^0, Z(4)^2], [Z(4)^2, 0*Z(4), 0*Z(4), Z(4)^1]],[[Z(4)^1, 0*Z(4), 0*Z(4), 0*Z(4)], [0*Z(4), Z(4)^1, 0*Z(4), 0*Z(4)], [0*Z(4), 0*Z(4), Z(4)^1, 0*Z(4)], [0*Z(4), 0*Z(4), 0*Z(4), Z(4)^1]],[[Z(4)^0, 0*Z(4), 0*Z(4), 0*Z(4)], [0*Z(4), Z(4)^0, 0*Z(4), 0*Z(4)], [Z(4)^2, 0*Z(4), Z(4)^0, Z(4)^2], [0*Z(4), 0*Z(4), 0*Z(4), Z(4)^0]],[[0*Z(4), 0*Z(4), 0*Z(4), Z(4)^0], [0*Z(4), Z(4)^0, 0*Z(4), 0*Z(4)], [Z(4)^0, 0*Z(4), Z(4)^0, Z(4)^0], [Z(4)^0, 0*Z(4), 0*Z(4), 0*Z(4)]]]);

 
# Booleans 
booleans_384_17286 := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := false,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true); 

 
# Character Table 
chartbl_384_17286:=rec(); 
chartbl_384_17286.IsFinite:= true; 
chartbl_384_17286.UnderlyingCharacteristic:= 0; 
chartbl_384_17286.UnderlyingGroup:= GLZN;
chartbl_384_17286.Size:= 384;
chartbl_384_17286.InfoText:= "Character table for group 384.17286 downloaded from the LMFDB."; 
chartbl_384_17286.Identifier:= " C2^6:C6 "; 
chartbl_384_17286.NrConjugacyClasses:= 132; 
chartbl_384_17286.ConjugacyClasses:= [[1, 0, 0, 1], [19, 0, 0, 19], [13, 0, 0, 13], [19, 12, 12, 19], [7, 0, 0, 7], [1, 12, 12, 1], [13, 12, 12, 13], [7, 12, 12, 7], [5, 0, 0, 23], [7, 0, 0, 1], [13, 0, 0, 19], [1, 12, 0, 1], [19, 12, 0, 19], [5, 12, 12, 23], [11, 12, 12, 17], [7, 12, 12, 1], [13, 12, 12, 19], [11, 0, 0, 23], [17, 0, 0, 5], [7, 0, 12, 7], [13, 0, 12, 13], [5, 12, 0, 23], [23, 12, 0, 5], [7, 12, 0, 1], [13, 12, 0, 19], [11, 0, 0, 17], [11, 12, 12, 23], [17, 12, 12, 5], [11, 0, 12, 17], [17, 0, 12, 11], [7, 0, 12, 1], [13, 0, 12, 19], [11, 12, 0, 23], [17, 12, 0, 5], [11, 0, 12, 23], [17, 0, 12, 5], [8, 21, 21, 8], [1, 8, 0, 1], [1, 16, 0, 1], [16, 3, 9, 16], [16, 3, 15, 16], [16, 3, 9, 4], [8, 21, 3, 8], [8, 21, 21, 20], [16, 3, 15, 4], [8, 21, 3, 20], [19, 8, 0, 19], [19, 16, 0, 19], [13, 8, 0, 13], [13, 16, 0, 13], [19, 20, 12, 19], [19, 4, 12, 19], [7, 8, 0, 7], [7, 16, 0, 7], [1, 20, 12, 1], [1, 4, 12, 1], [13, 20, 12, 13], [13, 4, 12, 13], [7, 20, 12, 7], [7, 4, 12, 7], [5, 8, 0, 23], [23, 16, 0, 5], [7, 16, 0, 1], [7, 8, 0, 1], [13, 8, 0, 19], [13, 16, 0, 19], [1, 4, 0, 1], [1, 20, 0, 1], [19, 20, 0, 19], [19, 4, 0, 19], [5, 20, 12, 23], [23, 4, 12, 5], [11, 20, 12, 17], [17, 4, 12, 11], [7, 4, 12, 1], [7, 20, 12, 1], [13, 20, 12, 19], [13, 4, 12, 19], [11, 8, 0, 23], [11, 16, 0, 23], [17, 16, 0, 5], [17, 8, 0, 5], [7, 16, 12, 7], [7, 8, 12, 7], [13, 8, 12, 13], [13, 16, 12, 13], [5, 20, 0, 23], [5, 4, 0, 23], [23, 4, 0, 5], [5, 8, 12, 23], [7, 4, 0, 1], [7, 20, 0, 1], [13, 20, 0, 19], [13, 4, 0, 19], [11, 8, 0, 17], [17, 16, 0, 11], [11, 20, 12, 23], [23, 4, 12, 11], [17, 4, 12, 5], [5, 20, 12, 17], [11, 8, 12, 17], [11, 16, 12, 17], [17, 16, 12, 11], [11, 20, 0, 17], [7, 16, 12, 1], [7, 8, 12, 1], [13, 8, 12, 19], [13, 16, 12, 19], [11, 20, 0, 23], [11, 4, 0, 23], [17, 4, 0, 5], [5, 8, 12, 17], [11, 8, 12, 23], [11, 16, 12, 23], [17, 16, 12, 5], [5, 20, 0, 17], [8, 5, 21, 8], [8, 13, 21, 8], [16, 1, 3, 16], [16, 17, 3, 16], [16, 7, 3, 16], [16, 23, 3, 16], [4, 1, 3, 16], [4, 17, 3, 16], [8, 11, 21, 8], [8, 19, 21, 8], [20, 5, 21, 8], [20, 13, 21, 8], [4, 7, 3, 16], [4, 23, 3, 16], [20, 11, 21, 8], [20, 19, 21, 8]];
chartbl_384_17286.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];
chartbl_384_17286.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 39, 38, 2, 3, 4, 5, 6, 7, 8, 39, 38, 39, 38, 39, 38, 39, 38, 39, 38, 39, 38, 39, 38, 38, 39, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 38, 39, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 39, 38, 38, 39, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60], [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, 1, 1, 40, 41, 42, 43, 44, 45, 46, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 37, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46]];
chartbl_384_17286.SizesCentralizers:= [384, 384, 384, 384, 384, 384, 384, 384, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 48, 384, 384, 48, 48, 48, 48, 48, 48, 48, 384, 384, 384, 384, 384, 384, 384, 384, 384, 384, 384, 384, 384, 384, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 192, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48];
chartbl_384_17286.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "2L", "2M", "2N", "2O", "2P", "2Q", "2R", "2S", "2T", "2U", "2V", "2W", "2X", "2Y", "2Z", "2AA", "2AB", "2AC", "2AD", "2AE", "2AF", "2AG", "2AH", "2AI", "2AJ", "3A1", "3A-1", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "6A1", "6A-1", "6B1", "6B-1", "6C1", "6C-1", "6D1", "6D-1", "6E1", "6E-1", "6F1", "6F-1", "6G1", "6G-1", "6H1", "6H-1", "6I1", "6I-1", "6J1", "6J-1", "6K1", "6K-1", "6L1", "6L-1", "6M1", "6M-1", "6N1", "6N-1", "6O1", "6O-1", "6P1", "6P-1", "6Q1", "6Q-1", "6R1", "6R-1", "6S1", "6S-1", "6T1", "6T-1", "6U1", "6U-1", "6V1", "6V-1", "6W1", "6W-1", "6X1", "6X-1", "6Y1", "6Y-1", "6Z1", "6Z-1", "6AA1", "6AA-1", "6AB1", "6AB-1", "6AC1", "6AC-1", "6AD1", "6AD-1", "6AE1", "6AE-1", "6AF1", "6AF-1", "6AG1", "6AG-1", "6AH1", "6AH-1", "6AI1", "6AI-1", "6AJ1", "6AJ-1", "12A1", "12A-1", "12B1", "12B-1", "12C1", "12C-1", "12D1", "12D-1", "12E1", "12E-1", "12F1", "12F-1", "12G1", "12G-1"];
chartbl_384_17286.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 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, 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, 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];
chartbl_384_17286.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, 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2*E(3), 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, 0, 2*E(3)^-1, 0, -2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3), 2*E(3), -2*E(3), 0, 0, 0, -2*E(3)^-1, 0, 2*E(3), 0, 0, 0, 0, -2*E(3)^-1, 0, 2*E(3), -2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 2*E(3)^-1, 0, 0, 0, 0, -2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, 0, -2*E(3), 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 2*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, 2, -2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, 2, -2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), -2*E(3), 2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, 0, -2*E(3), 0, 2*E(3), -2*E(3), -2*E(3), 2*E(3), 2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, 0, 0, 0, -2*E(3), 0, -2*E(3)^-1, 0, 0, 0, 0, 2*E(3), 0, 2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3), 0, -2*E(3), 0, 0, 0, 0, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 0, 0, 0, -2*E(3)^-1, 0, 0, 2*E(3), 0, 0, 0, 0, 0, 2*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, 2, -2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, 2, -2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, -2*E(3), -2*E(3), -2*E(3)^-1, -2*E(3)^-1, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, 0, -2*E(3)^-1, 0, 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, 2*E(3)^-1, 2*E(3), 2*E(3), -2*E(3), -2*E(3), 0, 0, 0, -2*E(3)^-1, 0, -2*E(3), 0, 0, 0, 0, 2*E(3)^-1, 0, 2*E(3), 2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3)^-1, 0, -2*E(3)^-1, 0, 0, 0, 0, 2*E(3), 2*E(3)^-1, -2*E(3), 0, 0, 0, -2*E(3), 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 0, 2*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, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 2, 2, -2, -2, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, 2*E(3), -2*E(3), 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, 0, 0, 0, 0, -2*E(3), 0, 0, 0, 0, 2*E(3), 0, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 0, 0, 0, -2*E(3), 0, 2*E(3)^-1, 0, -2*E(3)^-1, -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 0, 2*E(3), 0, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, 0, -2*E(3)^-1, 0, -2*E(3), 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, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 2, 2, -2, -2, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 2*E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, 2*E(3)^-1, -2*E(3)^-1, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), 0, 0, 0, 0, -2*E(3)^-1, 0, 0, 0, 0, 2*E(3)^-1, 0, 2*E(3), 2*E(3), 2*E(3)^-1, 0, 0, 0, -2*E(3)^-1, 0, 2*E(3), 0, -2*E(3), -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 0, 0, 2*E(3)^-1, 0, -2*E(3)^-1, -2*E(3), -2*E(3), 0, -2*E(3), 0, -2*E(3)^-1, 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, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, -2, -2, 2, 2, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, 2*E(3), 2*E(3), 2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3)^-1, 0, 0, 0, 0, -2*E(3), 0, 0, 0, 0, 2*E(3), 0, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 0, 0, 0, -2*E(3), 0, 2*E(3)^-1, 0, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, 0, 0, -2*E(3), 0, 2*E(3), -2*E(3)^-1, 2*E(3)^-1, 0, 2*E(3)^-1, 0, 2*E(3), 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, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, -2, -2, 2, 2, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 2*E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(3), 0, 0, 0, 0, -2*E(3)^-1, 0, 0, 0, 0, 2*E(3)^-1, 0, -2*E(3), -2*E(3), -2*E(3)^-1, 0, 0, 0, -2*E(3)^-1, 0, 2*E(3), 0, 2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3), 0, 0, -2*E(3)^-1, 0, 2*E(3)^-1, -2*E(3), 2*E(3), 0, 2*E(3), 0, 2*E(3)^-1, 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, -2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, -2, -2, 2, 2, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 2*E(3), 0, 0, 0, 0, -2*E(3), 0, 2*E(3)^-1, 2*E(3)^-1, 2*E(3), 0, 0, 0, 2*E(3), 0, -2*E(3)^-1, 0, -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3)^-1, 0, 0, -2*E(3), 0, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 2*E(3)^-1, 0, 2*E(3), 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, -2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, -2, -2, 2, 2, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 2*E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 0, 0, 0, 0, 2*E(3)^-1, 0, 0, 0, 0, -2*E(3)^-1, 0, 2*E(3), 2*E(3), 2*E(3)^-1, 0, 0, 0, 2*E(3)^-1, 0, -2*E(3), 0, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3)^-1, -2*E(3), -2*E(3), 0, 0, -2*E(3)^-1, 0, 2*E(3)^-1, 2*E(3), 2*E(3), 0, 2*E(3), 0, 2*E(3)^-1, 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, -2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 2, 2, -2, -2, 0, 2*E(3)^-1, 2*E(3), 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, -2*E(3)^-1, 2*E(3), -2*E(3), -2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3)^-1, 2*E(3), -2*E(3)^-1, 2*E(3), 0, 0, -2*E(3), 2*E(3), -2*E(3)^-1, -2*E(3), 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3)^-1, 0, 0, 0, 0, 2*E(3), 0, 0, 0, 0, -2*E(3), 0, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 0, 0, 0, 2*E(3), 0, -2*E(3)^-1, 0, 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3)^-1, 0, 0, 2*E(3), 0, -2*E(3), 2*E(3)^-1, -2*E(3)^-1, 0, -2*E(3)^-1, 0, -2*E(3), 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, -2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, 2, 2, -2, -2, 0, 2*E(3), 2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 2*E(3), -2*E(3), 2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3)^-1, -2*E(3), 2*E(3), -2*E(3), -2*E(3)^-1, 2*E(3), 2*E(3)^-1, -2*E(3), 2*E(3)^-1, 0, 0, -2*E(3)^-1, 2*E(3)^-1, -2*E(3), -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 2*E(3), 0, 0, 0, 0, 2*E(3)^-1, 0, 0, 0, 0, -2*E(3)^-1, 0, -2*E(3), -2*E(3), -2*E(3)^-1, 0, 0, 0, 2*E(3)^-1, 0, -2*E(3), 0, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3)^-1, 2*E(3), 2*E(3), 0, 0, 2*E(3)^-1, 0, -2*E(3)^-1, 2*E(3), -2*E(3), 0, -2*E(3), 0, -2*E(3)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_384_17286);