# Group 20736.hv downloaded from the LMFDB on 03 February 2026. 
 
## 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(110747984445725528613028473451048301256947518948195584537664756460066466480186176303699087405579711342938983623206059561426615957926140575377823280997255979492624335378413800271694060339761096384406762594606648039927198229,20736); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.5; e := GPC.6; f := GPC.7; g := GPC.9; h := GPC.11;
GPerm := Group( (2,4,6,8,9,3)(5,7)(10,12,13,16)(11,14,17,15), (1,2,3)(4,5,6,8,7,9)(10,11,13,16,14,17)(12,15) );

 
# Booleans 
booleans_20736_hv := 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_20736_hv:=rec(); 
chartbl_20736_hv.IsFinite:= true; 
chartbl_20736_hv.UnderlyingCharacteristic:= 0; 
chartbl_20736_hv.UnderlyingGroup:= GPerm;
chartbl_20736_hv.Size:= 20736;
chartbl_20736_hv.InfoText:= "Character table for group 20736.hv downloaded from the LMFDB."; 
chartbl_20736_hv.Identifier:= " (S3*D6^2).S4 "; 
chartbl_20736_hv.NrConjugacyClasses:= 82; 
chartbl_20736_hv.ConjugacyClasses:= [(), (10,13)(11,12)(14,15)(16,17), (10,14)(11,17)(12,16)(13,15), (11,16)(12,17), (2,6)(5,7), (1,7)(4,8)(10,15)(11,17)(12,16)(13,14), (6,9)(10,11)(12,13)(14,16)(15,17), (5,7)(6,9)(11,12)(16,17), (5,7)(6,9)(10,14)(11,16)(12,17)(13,15), (3,4)(5,7)(10,13)(11,16)(12,17)(14,15), (2,8)(3,9)(4,6)(12,17)(13,15), (4,8)(5,7)(6,9)(10,12)(11,13)(14,17)(15,16), (1,5)(3,8)(10,15)(11,16)(12,17)(13,14), (4,8)(6,9)(11,12)(16,17), (1,5)(2,8)(3,6)(4,9)(10,11)(12,15)(13,17)(14,16), (3,8,4), (1,7,5)(2,9,6)(3,8,4), (2,9,6)(3,8,4), (1,3,2)(4,6,5)(7,8,9)(10,13,14)(11,17,12), (6,9)(10,17,15,11)(12,13,16,14), (6,9)(10,12,13,11)(14,17,15,16), (2,8)(3,9)(4,6)(10,15,14,13)(11,17,16,12), (1,2)(5,6)(7,9)(11,17,12,16)(14,15), (1,8,7,4)(3,5)(10,12,15,16)(11,13,17,14), (1,6)(2,5)(3,8)(7,9)(10,12,13,11)(14,16,15,17), (1,3)(4,7,8,5)(10,12)(11,14)(13,17)(15,16), (2,6)(4,8)(5,7)(10,12,15,16)(11,14,17,13), (1,2)(3,8)(5,6)(7,9)(10,12,14,16)(11,15,17,13), (1,8)(3,7,4,5)(10,12,13,17)(11,15,16,14), (1,9)(2,7,6,5)(3,4)(11,12)(14,15), (1,4)(2,6)(3,5,8,7)(10,13,15,14)(11,12,17,16), (1,3)(2,6)(4,5,8,7)(11,12,17,16)(13,14), (3,8,4)(10,13)(11,12)(14,15)(16,17), (3,4,8)(10,14)(11,17)(12,16)(13,15), (3,8,4)(10,14)(11,16)(12,17)(13,15), (2,6,9)(3,8,4)(10,14)(11,16)(12,17)(13,15), (3,8,4)(11,12)(16,17), (3,4,8)(11,16)(12,17), (3,4,8)(10,13)(11,16)(12,17)(14,15), (1,5,7)(2,6,9)(10,14)(11,17)(12,16)(13,15), (1,5,7)(2,6,9)(10,13)(14,15), (1,5,7)(3,8,4)(10,14)(11,16)(12,17)(13,15), (1,7,5)(2,9,6)(3,8,4)(10,15)(11,17)(12,16)(13,14), (1,7,5)(2,6,9)(3,4,8)(11,12)(16,17), (1,5,7)(2,9,6)(3,8,4)(11,12)(16,17), (2,6,9)(3,4,8)(11,12)(16,17), (2,6,9)(3,4,8)(10,13)(11,16)(12,17)(14,15), (1,5,7)(2,6,9)(3,4,8)(10,13)(11,16)(12,17)(14,15), (1,7)(2,6,9)(4,8)(10,15)(11,17)(12,16)(13,14), (2,6,9)(4,8)(5,7), (3,4,8)(5,7)(6,9)(11,12)(16,17), (3,4,8)(5,7)(6,9)(10,14)(11,16)(12,17)(13,15), (2,9,6)(3,4)(5,7)(10,13)(11,16)(12,17)(14,15), (3,4,8)(6,9)(10,11)(12,13)(14,16)(15,17), (2,3,6,8,9,4)(12,17)(13,15), (2,6,9)(3,4,8)(5,7)(10,11)(12,13)(14,16)(15,17), (1,2)(3,4,8)(5,6)(7,9)(14,15)(16,17), (1,5)(2,9,6)(3,8)(10,15)(11,16)(12,17)(13,14), (1,7,5)(4,8)(6,9)(11,12)(16,17), (1,7,5)(2,3,6,4,9,8)(11,16)(13,15), (1,5)(2,4,6,8,9,3)(10,11)(12,15)(13,17)(14,16), (1,2,3)(4,7,6,8,5,9)(10,17,13,12,14,11)(15,16), (1,2,8,7,9,4,5,6,3)(10,15,14)(11,12,17), (3,4,8)(6,9)(10,11,13,12)(14,16,15,17), (3,4,8)(6,9)(10,11,14,16)(12,15,17,13), (3,4,8)(6,9)(10,11,15,17)(12,14,16,13), (2,3,6,8,9,4)(10,13,14,15)(11,12,16,17), (2,6,9)(3,4,8)(5,7)(10,11,14,16)(12,15,17,13), (1,2)(3,4,8)(5,6)(7,9)(10,14,13,15)(11,16,12,17), (1,2)(3,4,8)(5,6)(7,9)(11,16,12,17)(14,15), (1,2)(3,4,8)(5,6)(7,9)(10,14,13,15)(16,17), (1,9,5,2,7,6)(10,15,13,14)(11,12), (1,7,5)(3,4,8)(6,9)(10,12,14,17)(11,15,16,13), (1,8,7,4,5,3)(2,6,9)(10,13,15,14)(11,12,17,16), (1,2,7,6,5,9)(3,8,4)(10,13)(11,17,12,16), (1,9,5,6,7,2)(3,4,8)(10,13)(11,16,12,17), (1,4,7,8)(2,9,6)(3,5)(10,16,15,12)(11,14,17,13), (1,2,7,6,5,9)(3,8)(10,11,13,12)(14,17,15,16), (1,3)(2,9,6)(4,5,8,7)(10,12)(11,14)(13,17)(15,16), (1,8)(2,6,9)(3,5,4,7)(10,17,13,12)(11,14,16,15), (1,8)(2,9,6)(3,5,4,7)(10,17,13,12)(11,14,16,15), (1,9,5,2,7,6)(3,8)(10,16,14,12)(11,13,17,15)];
chartbl_20736_hv.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];
chartbl_20736_hv.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 16, 17, 18, 19, 2, 2, 2, 4, 6, 2, 5, 2, 3, 10, 5, 6, 8, 16, 16, 16, 18, 16, 16, 16, 18, 18, 18, 17, 17, 17, 18, 18, 17, 16, 16, 16, 16, 16, 16, 18, 18, 16, 16, 16, 17, 18, 19, 63, 33, 35, 35, 36, 36, 33, 37, 37, 41, 42, 43, 44, 45, 49, 36, 50, 53, 53, 40], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 1, 1, 1, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 2, 3, 2, 2, 4, 4, 3, 3, 4, 2, 2, 4, 4, 4, 3, 3, 6, 5, 8, 9, 10, 7, 11, 7, 11, 13, 14, 11, 15, 12, 17, 21, 21, 20, 22, 20, 22, 23, 23, 23, 21, 22, 23, 23, 24, 25, 26, 29, 29, 28]];
chartbl_20736_hv.SizesCentralizers:= [20736, 6912, 3456, 3456, 768, 768, 576, 384, 384, 384, 288, 192, 192, 192, 96, 3456, 2592, 1728, 18, 576, 288, 288, 144, 96, 96, 96, 64, 48, 48, 32, 32, 16, 3456, 1728, 1728, 1728, 1728, 864, 864, 864, 864, 864, 864, 864, 864, 432, 432, 432, 384, 384, 192, 192, 192, 144, 144, 144, 144, 96, 96, 72, 48, 6, 9, 144, 144, 144, 144, 144, 144, 144, 144, 72, 72, 72, 72, 72, 48, 48, 48, 48, 48, 24];
chartbl_20736_hv.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "2L", "2M", "2N", "3A", "3B", "3C", "3D", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "4H", "4I", "4J", "4K", "4L", "4M", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L1", "6L-1", "6M", "6N", "6O", "6P", "6Q", "6R", "6S", "6T", "6U", "6V", "6W", "6X", "6Y", "6Z", "6AA", "6AB", "6AC", "9A", "12A", "12B", "12C", "12D", "12E", "12F", "12G1", "12G-1", "12H", "12I", "12J", "12K1", "12K-1", "12L", "12M", "12N", "12O1", "12O5", "12P"];
chartbl_20736_hv.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 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, 9, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12];
chartbl_20736_hv.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], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, -1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 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, 0, 0, 2, 2, 2, 2, 0, 0, -1, -1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 0, 2, -2, 2, 0, 2, 2, 2, -1, -2, -2, 0, 0, 0, 0, 0, -2, 0, 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, 0, 0, -2, -2, 2, 2, 0, 0, 1, -1, 0, 0, -2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -1, -1, -1, -1, -1, 3, 3, -1, 1, -1, 3, -1, 1, 3, 3, 3, 0, 3, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, -1, 3, 1, 1, -1, -1, -1, -1, 1, 1, 0, 0, -1, 1, 3, -1, 3, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1], [3, 3, -1, -1, 3, 3, 3, -1, -1, 3, 1, -1, 3, -1, 1, 3, 3, 3, 0, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, -1, 3, -1, 1, 1, 3, 3, -1, -1, 1, 1, 0, 0, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1], [3, 3, 3, 3, -1, -1, -1, -1, -1, -1, 1, -1, 3, -1, 1, 3, 3, 3, 0, -1, -1, 1, 1, -1, 1, -1, 3, 1, -1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 0, 0, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1], [3, 3, -1, -1, -1, -1, -1, 3, 3, -1, -1, -1, 3, -1, -1, 3, 3, 3, 0, 3, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, -1, 3, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 1, -1, 3, -1, 3, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1], [3, 3, -1, -1, 3, 3, 3, -1, -1, 3, -1, -1, 3, -1, -1, 3, 3, 3, 0, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, -1, 3, -1, -1, -1, 3, 3, -1, -1, -1, -1, 0, 0, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1], [3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, -1, -1, 3, 3, 3, 0, -1, -1, -1, -1, 1, -1, 1, 3, -1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], [3, 3, -1, -1, -1, -1, 1, 3, 3, -1, -1, -1, -3, -1, 1, 3, 3, 3, 0, -3, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, -1, 3, -1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 1, -1, -3, 1, -3, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1], [3, 3, -1, -1, -1, -1, 1, 3, 3, -1, 1, -1, -3, -1, -1, 3, 3, 3, 0, -3, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, -1, 3, 1, 1, 1, 1, -1, -1, 1, -1, 0, 0, -1, 1, -3, 1, -3, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1], [3, 3, -1, -1, 3, 3, -3, -1, -1, 3, -1, -1, -3, -1, 1, 3, 3, 3, 0, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, -1, 3, -1, -1, -1, -3, -3, -1, -1, -1, 1, 0, 0, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1], [3, 3, -1, -1, 3, 3, -3, -1, -1, 3, 1, -1, -3, -1, -1, 3, 3, 3, 0, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 3, -1, 3, 3, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, -1, 3, -1, 1, 1, -3, -3, -1, -1, 1, -1, 0, 0, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1], [3, 3, 3, 3, -1, -1, 1, -1, -1, -1, -1, -1, -3, -1, 1, 3, 3, 3, 0, 1, 1, -1, -1, -1, 1, -1, -3, 1, -1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 0, 0, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1], [3, 3, 3, 3, -1, -1, 1, -1, -1, -1, 1, -1, -3, -1, -1, 3, 3, 3, 0, 1, 1, 1, 1, 1, -1, 1, -3, -1, 1, -1, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 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0, 0, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 6, -2, -2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0], [6, -2, 2, -2, 6, -2, 0, 2, -2, -2, 0, -2, 0, 2, 2, 6, 6, 6, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 6, -2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0], [6, 6, 6, 6, 2, 2, 4, 2, 2, 2, 2, 2, 0, 2, 0, 3, -3, 0, 0, 4, 4, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 3, 3, 3, 0, 3, -3, 0, -3, -3, 3, 0, 0, 3, 0, 0, -3, -1, -1, -1, -1, -1, 2, -1, -2, 1, -1, -1, -1, 0, 0, 0, -1, -1, 1, 1, -2, 2, 1, -1, 2, -2, -1, -1, -1, -1, -1, -1, 0, -1, 0], [6, 6, -2, -2, -2, -2, 2, -2, -2, -2, 0, 2, -6, 2, 0, 6, 6, 6, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, -2, 6, 6, -2, -2, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -2, -2, 2, -2, 6, 0, -2, 2, -2, -2, -2, 0, 2, 0, 6, 6, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 6, -2, 2, -2, -2, -2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, -2, -2, 2, 6, -2, 0, -2, 2, -2, -2, 2, 0, -2, 0, 6, 6, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 6, 2, -2, -2, -2, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, -2, 2, -2, -2, 6, 0, 2, -2, -2, 0, 2, 0, -2, -2, 6, 6, 6, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 6, -2, -2, -2, 2, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0], [6, -2, 2, -2, 6, -2, 0, 2, -2, -2, 0, -2, 0, 2, -2, 6, 6, 6, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 6, -2, -2, 2, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0], [6, 6, 6, 6, 2, 2, -4, 2, 2, 2, -2, 2, 0, 2, 0, 3, -3, 0, 0, -4, -4, -2, -2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 3, 3, 3, 0, 3, -3, 0, -3, -3, 3, 0, 0, 3, 0, 0, -3, -1, -1, -1, -1, -1, -2, 1, 2, -1, -1, -1, 1, 0, 0, 0, 1, 1, -1, -1, 2, -2, -1, 1, -2, 2, 1, 1, 1, -1, -1, -1, 0, -1, 0], [6, 6, 6, 6, 2, 2, -4, 2, 2, 2, 2, 2, 0, 2, 0, 3, -3, 0, 0, -4, -4, 2, 2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 3, 3, 3, 0, 3, -3, 0, -3, -3, 3, 0, 0, 3, 0, 0, -3, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, 1, 1, 1, 0, 1, 0], [6, 6, 6, 6, 2, 2, 4, 2, 2, 2, -2, 2, 0, 2, 0, 3, -3, 0, 0, 4, 4, -2, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 3, 3, 3, 0, 3, -3, 0, -3, -3, 3, 0, 0, 3, 0, 0, -3, -1, -1, -1, -1, -1, -2, 1, -2, 1, -1, -1, 1, 0, 0, 0, 1, 1, 1, 1, -2, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 0, 1, 0], [6, 6, -2, -2, 2, 2, -4, 2, 2, 2, 2, -2, 0, -2, 0, 3, -3, 0, 0, 4, 0, 2, -2, -2, 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1, -1, 1, -1, 1, 0, -1, 0], [8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, -1, 2, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, -4, -1, 2, -1, -1, -4, 2, 2, -4, 2, 2, -1, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, 0, 0, -1, -2, -2, 0, 0, 0, -2, 0, -2, -2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -1, 2, 2, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 2, -4, -1, 2, -1, -1, -4, 2, 2, -4, 2, 2, -1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -1, 0, 0, -1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0], [12, -4, -4, 4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 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, 0, 0], [12, -4, 4, -4, -4, -4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, 4, 4, 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0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -8, -8, 10, 8, 2, -2, -2, 2, 4, -2, 2, -4, -4, 4, -2, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [24, -8, -8, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -8, -8, 10, 8, 2, -2, -2, 2, 4, -2, 2, -4, -4, 4, -2, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [24, -8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 4, 0, -4, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -8, -8, -8, 8, -4, 4, 4, -4, -2, 4, -4, 2, 2, -2, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 4, 0, -4, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, -8, -8, -8, 4, 4, 4, 4, 2, -4, 4, -2, -2, 2, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 6, -6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 16, 8, -8, 10, -8, -2, -2, -2, -2, -4, 2, -2, 4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0], [24, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 6, -6, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 16, 8, -8, 10, -8, -2, -2, -2, -2, -4, 2, -2, 4, 4, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [24, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, -4, 0, 4, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, -8, -8, -8, 4, 4, 4, 4, 2, -4, 4, -2, -2, 2, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, 24, -8, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -6, -8, -2, -6, 6, -2, 4, -2, -2, 4, 4, 4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, 24, -8, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -12, -3, 6, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 4, -12, 6, 4, 1, 6, -3, 1, 4, -2, -2, 4, -2, -2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, -2, -2, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0], [24, 24, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -6, -8, -2, -6, 6, -2, 4, -2, -2, 4, 4, 4, -2, 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [24, -8, -8, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -12, -3, 6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -2, -4, -7-12*E(3), -2, 1, 5+12*E(3), 4, -2, 2, -4, 2, -2, 1, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, 0, 0, 0, -2-4*E(3), 2, 0, 0, 0, 2, 0, 2+4*E(3), 0, 0, 1+2*E(3), -1, -1-2*E(3), 0, 0, 0, 0, 0, 0], [24, -8, -8, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -12, 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8, 2, -4, 2, 2, -8, 4, -4, 8, -4, 4, -2, 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, 0, 0, 0, 0, 0, 0, 0], [48, -16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 8, 8, -4, -8, 4, 8, -4, 4, -4, 8, -8, 4, -2, 2, -4, 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, 0, 0, 0, 0, 0, 0, 0], [48, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -8, 8, -4, 8, -4, 8, -4, -4, 4, -8, 8, -4, 2, -2, 4, 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, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_20736_hv);