# Group 7200.c downloaded from the LMFDB on 14 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 
GPerm := Group( (1,3,7,15,28,51,66,62,95,8,17,32,57,89,116,117,79,110,52,64,99,92,113,94,111,45,76,106,20,38)(2,5,11,22,42,73,90,115,27,49,56,6,13,26,48,80,83,96,118,107,101,68,37,65,100,105,109,119,81,60)(4,9,19,36,63,97,88,58,91,43,74,103,120,29,53,84,112,70,86,114,10,21,40,69,54,85,33,12,24,14)(16,30,55,87,47,78,108,18,34,59,93,72,75,98,25,46,23,44,35,61,77,41,71,104,39,67,102,31,50,82), (1,2,4,8,16,29,52,65,100,106,21,39,66,63,96,117,80,84,111,46,24,15,27,49,57,88,59,92,114,11)(3,6,12,23,43,74,104,40,68,38,22,41,70,87,48,79,109,120,30,54,85,34,58,90,116,118,108,19,35,60)(5,10,20,37,64,98,26,47,77,42,72,76,105,110,53,83,97,89,115,28,50,81,61,78,107,102,32,56,7,14)(9,18,33,13,25,45,75,99,93,73,91,44,36,62,94,112,71,103,119,82,17,31,51,67,101,69,55,86,113,95) );

 
# Booleans 
booleans_7200_c := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := true,
quasisimple := false,
rational := false,
solvable := false,
supersolvable := false); 

 
# Character Table 
chartbl_7200_c:=rec(); 
chartbl_7200_c.IsFinite:= true; 
chartbl_7200_c.UnderlyingCharacteristic:= 0; 
chartbl_7200_c.Size:= 7200;
chartbl_7200_c.InfoText:= "Character table for group 7200.c downloaded from the LMFDB."; 
chartbl_7200_c.Identifier:= " Omega+(4,5) "; 
chartbl_7200_c.NrConjugacyClasses:= 41; 
chartbl_7200_c.ConjugacyClasses:= [[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [1, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 1], [3, 4, 0, 0, 3, 1, 0, 0, 0, 0, 3, 1, 0, 0, 2, 1], [4, 0, 2, 0, 0, 4, 0, 3, 2, 0, 0, 0, 0, 3, 0, 0], [2, 2, 3, 2, 4, 2, 1, 2, 1, 1, 1, 4, 3, 4, 3, 1], [2, 0, 1, 0, 0, 2, 0, 4, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 3, 0, 0, 0, 2, 2], [0, 1, 0, 0, 4, 2, 0, 0, 0, 0, 0, 4, 0, 0, 1, 2], [4, 2, 0, 0, 3, 3, 0, 0, 0, 0, 4, 3, 0, 0, 2, 3], [4, 0, 2, 0, 0, 4, 0, 3, 3, 0, 3, 0, 0, 2, 0, 3], [2, 0, 4, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 4, 0, 0], [4, 1, 3, 3, 1, 0, 2, 0, 2, 3, 0, 0, 2, 0, 0, 0], [4, 3, 4, 2, 3, 2, 3, 3, 1, 2, 2, 1, 3, 2, 1, 1], [4, 3, 2, 1, 2, 3, 1, 1, 0, 0, 4, 2, 0, 0, 3, 3], [2, 1, 2, 4, 4, 0, 4, 0, 0, 0, 2, 4, 0, 0, 1, 0], [4, 4, 0, 0, 3, 2, 0, 0, 0, 0, 4, 1, 0, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 3, 2, 0, 1, 0, 0, 3, 0, 1], [4, 1, 3, 3, 2, 4, 4, 2, 1, 4, 3, 3, 2, 4, 1, 3], [2, 2, 0, 0, 3, 1, 0, 0, 0, 0, 2, 3, 0, 0, 2, 1], [3, 1, 0, 0, 4, 0, 0, 0, 0, 0, 3, 4, 0, 0, 1, 0], [0, 0, 4, 0, 0, 0, 0, 1, 1, 0, 3, 0, 0, 4, 0, 3], [2, 0, 2, 0, 0, 2, 0, 3, 3, 0, 1, 0, 0, 2, 0, 1], [4, 4, 2, 3, 4, 3, 2, 1, 3, 3, 3, 2, 2, 4, 2, 1], [0, 0, 0, 2, 0, 0, 3, 2, 0, 2, 0, 4, 3, 3, 4, 1], [0, 1, 0, 1, 4, 3, 1, 3, 0, 0, 0, 4, 0, 0, 1, 3], [2, 3, 4, 4, 2, 1, 4, 3, 0, 0, 2, 2, 0, 0, 3, 1], [4, 2, 4, 3, 4, 3, 4, 2, 0, 0, 1, 2, 0, 0, 4, 2], [2, 2, 4, 1, 0, 3, 0, 4, 2, 2, 1, 4, 0, 2, 0, 4], [0, 0, 4, 2, 0, 0, 3, 3, 4, 3, 2, 1, 2, 3, 1, 1], [0, 3, 0, 1, 3, 3, 4, 1, 0, 4, 0, 0, 1, 1, 0, 0], [3, 1, 1, 3, 1, 0, 2, 0, 4, 3, 0, 0, 2, 0, 0, 0], [0, 1, 0, 4, 1, 2, 1, 3, 0, 4, 0, 2, 1, 2, 2, 1], [4, 3, 2, 1, 2, 0, 1, 0, 0, 0, 1, 3, 0, 0, 2, 0], [2, 1, 1, 2, 4, 4, 2, 3, 0, 0, 3, 1, 0, 0, 4, 1], [0, 0, 2, 0, 0, 0, 2, 2, 3, 0, 1, 0, 2, 3, 4, 4], [1, 0, 4, 0, 1, 4, 4, 4, 1, 0, 3, 0, 4, 1, 2, 2], [2, 3, 1, 1, 3, 0, 4, 0, 1, 4, 0, 0, 1, 0, 0, 0], [3, 1, 4, 2, 1, 4, 3, 3, 4, 3, 0, 0, 2, 3, 0, 0], [0, 2, 0, 4, 2, 4, 1, 3, 0, 4, 0, 1, 1, 2, 1, 3], [0, 1, 0, 3, 1, 2, 2, 1, 0, 3, 0, 0, 2, 4, 0, 0]];
chartbl_7200_c.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];
chartbl_7200_c.ComputedPowerMaps:= [ , [1, 1, 1, 4, 5, 6, 2, 2, 10, 9, 12, 11, 14, 13, 16, 15, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 31, 30, 33, 32, 20, 21, 23, 22, 30, 31, 32, 33], [1, 2, 3, 1, 1, 1, 7, 8, 10, 9, 12, 11, 14, 13, 16, 15, 2, 2, 2, 21, 20, 23, 22, 25, 24, 27, 26, 7, 8, 10, 9, 11, 12, 35, 34, 37, 36, 21, 20, 22, 23], [1, 2, 3, 4, 5, 6, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 17, 18, 19, 2, 2, 2, 2, 2, 2, 2, 2, 28, 29, 5, 5, 4, 4, 7, 7, 8, 8, 18, 18, 17, 17]];
chartbl_7200_c.SizesCentralizers:= [7200, 7200, 16, 360, 360, 18, 240, 240, 600, 600, 600, 600, 50, 50, 50, 50, 360, 360, 18, 600, 600, 600, 600, 50, 50, 50, 50, 12, 12, 30, 30, 30, 30, 20, 20, 20, 20, 30, 30, 30, 30];
chartbl_7200_c.ClassNames:= ["1A", "2A", "2B", "3A", "3B", "3C", "4A", "4B", "5A1", "5A2", "5B1", "5B2", "5C1", "5C2", "5D1", "5D2", "6A", "6B", "6C", "10A1", "10A3", "10B1", "10B3", "10C1", "10C3", "10D1", "10D3", "12A", "12B", "15A1", "15A2", "15B1", "15B2", "20A1", "20A3", "20B1", "20B3", "30A1", "30A7", "30B1", "30B7"];
chartbl_7200_c.OrderClassRepresentatives:= [1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 15, 15, 15, 15, 20, 20, 20, 20, 30, 30, 30, 30];
chartbl_7200_c.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], [3, 3, -1, 0, 3, 0, 3, -1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 3, 3, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, 0, 3, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 3, 3, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, 0, -1, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1, -1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0], [3, 3, -1, 0, 3, 0, 3, -1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 3, 3, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 0, 3, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 3, 3, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 0, -1, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1, -1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0], [3, 3, -1, 3, 0, 0, -1, 3, 3, 3, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 3, 0, 0, 3, 3, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1, 0, -1*E(5)-E(5)^-1, 0, 0, -1*E(5)^2-E(5)^-2, -1, -1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1], [3, 3, -1, 3, 0, 0, -1, 3, 3, 3, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 3, 0, 0, 3, 3, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1, 0, -1*E(5)^2-E(5)^-2, 0, 0, -1*E(5)-E(5)^-1, -1, -1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2], [4, 4, 0, 1, 4, 1, 4, 0, -1, -1, 4, 4, -1, -1, -1, -1, 1, 4, 1, -1, -1, 4, 4, -1, -1, -1, -1, 1, 0, 1, -1, -1, 1, -1, -1, 0, 0, -1, -1, 1, 1], [4, 4, 0, 4, 1, 1, 0, 4, 4, 4, -1, -1, -1, -1, -1, -1, 4, 1, 1, 4, 4, -1, -1, -1, -1, -1, -1, 0, 1, -1, 1, 1, -1, 0, 0, -1, -1, 1, 1, -1, -1], [4, -4, 0, -2, -2, 1, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, -1, 2+E(5)^2+E(5)^-2, 1-E(5)^2-E(5)^-2, -1, 2, 2, -1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, 1, -2-E(5)^2-E(5)^-2, -1+E(5)^2+E(5)^-2, 1, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2], [4, -4, 0, -2, -2, 1, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, -1, 1-E(5)^2-E(5)^-2, 2+E(5)^2+E(5)^-2, -1, 2, 2, -1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, 1, -1+E(5)^2+E(5)^-2, -2-E(5)^2-E(5)^-2, 1, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [4, -4, 0, -2, -2, 1, 0, 0, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2+E(5)^2+E(5)^-2, -1, -1, 1-E(5)^2-E(5)^-2, 2, 2, -1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2-E(5)^2-E(5)^-2, 1, 1, -1+E(5)^2+E(5)^-2, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [4, -4, 0, -2, -2, 1, 0, 0, 2*E(5)+2*E(5)^-1, 2*E(5)^2+2*E(5)^-2, 2*E(5)^2+2*E(5)^-2, 2*E(5)+2*E(5)^-1, 1-E(5)^2-E(5)^-2, -1, -1, 2+E(5)^2+E(5)^-2, 2, 2, -1, -2*E(5)^2-2*E(5)^-2, -2*E(5)-2*E(5)^-1, -2*E(5)-2*E(5)^-1, -2*E(5)^2-2*E(5)^-2, -1+E(5)^2+E(5)^-2, 1, 1, -2-E(5)^2-E(5)^-2, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2], [5, 5, 1, -1, 5, -1, 5, 1, 0, 0, 5, 5, 0, 0, 0, 0, -1, 5, -1, 0, 0, 5, 5, 0, 0, 0, 0, -1, 1, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1, -1], [5, 5, 1, 5, -1, -1, 1, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, -1, -1, 5, 5, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, 1, 1, 0, 0, -1, -1, 0, 0], [8, -8, 0, -4, 2, -1, 0, 0, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, -2, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 4, -2, 1, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 0, 0, 1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 1, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1, -1], [8, -8, 0, -4, 2, -1, 0, 0, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, -2, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, 4, -2, 1, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, 2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 0, 0, 1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 1, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1, -1], [8, -8, 0, 2, -4, -1, 0, 0, -2, -2, 4*E(5)^2+4*E(5)^-2, 4*E(5)+4*E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -2, 4, 1, 2, 2, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, E(5)^2+E(5)^-2, 1, 1, E(5)+E(5)^-1, 0, 0, 0, 0, -1, -1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2], [8, -8, 0, 2, -4, -1, 0, 0, -2, -2, 4*E(5)+4*E(5)^-1, 4*E(5)^2+4*E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -2, 4, 1, 2, 2, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, E(5)+E(5)^-1, 1, 1, E(5)^2+E(5)^-2, 0, 0, 0, 0, -1, -1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1], [9, 9, 1, 0, 0, 0, -3, -3, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -1, 1-E(5)^2-E(5)^-2, 2+E(5)^2+E(5)^-2, -1, 0, 0, 0, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -1, 1-E(5)^2-E(5)^-2, 2+E(5)^2+E(5)^-2, -1, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0], [9, 9, 1, 0, 0, 0, -3, -3, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -1, 2+E(5)^2+E(5)^-2, 1-E(5)^2-E(5)^-2, -1, 0, 0, 0, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -1, 2+E(5)^2+E(5)^-2, 1-E(5)^2-E(5)^-2, -1, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0], [9, 9, 1, 0, 0, 0, -3, -3, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, 1-E(5)^2-E(5)^-2, -1, -1, 2+E(5)^2+E(5)^-2, 0, 0, 0, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, 1-E(5)^2-E(5)^-2, -1, -1, 2+E(5)^2+E(5)^-2, 0, 0, 0, 0, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0, 0, 0], [9, 9, 1, 0, 0, 0, -3, -3, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, 2+E(5)^2+E(5)^-2, -1, -1, 1-E(5)^2-E(5)^-2, 0, 0, 0, -3*E(5)-3*E(5)^-1, -3*E(5)^2-3*E(5)^-2, -3*E(5)^2-3*E(5)^-2, -3*E(5)-3*E(5)^-1, 2+E(5)^2+E(5)^-2, -1, -1, 1-E(5)^2-E(5)^-2, 0, 0, 0, 0, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0, 0, 0], [12, 12, 0, 0, 3, 0, 0, -4, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -3, -3, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 0, 3, 0, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -3, -3, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 0, -1, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, 1, 1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0], [12, 12, 0, 0, 3, 0, 0, -4, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, -3, -3, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 0, 3, 0, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, -3, -3, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 0, -1, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, 1, 1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0], [12, 12, 0, 3, 0, 0, -4, 0, -3, -3, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 3, 0, 0, -3, -3, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, -1, 0, -1*E(5)-E(5)^-1, 0, 0, -1*E(5)^2-E(5)^-2, 1, 1, 0, 0, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1], [12, 12, 0, 3, 0, 0, -4, 0, -3, -3, -4*E(5)^2-4*E(5)^-2, -4*E(5)-4*E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 3, 0, 0, -3, -3, -4*E(5)-4*E(5)^-1, -4*E(5)^2-4*E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, -1, 0, -1*E(5)^2-E(5)^-2, 0, 0, -1*E(5)-E(5)^-1, 1, 1, 0, 0, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2], [12, -12, 0, -6, 0, 0, 0, 0, 6*E(5)^2+6*E(5)^-2, 6*E(5)+6*E(5)^-1, 2, 2, E(5)+E(5)^-1, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, 6, 0, 0, -6*E(5)-6*E(5)^-1, -6*E(5)^2-6*E(5)^-2, -2, -2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1], [12, -12, 0, -6, 0, 0, 0, 0, 6*E(5)+6*E(5)^-1, 6*E(5)^2+6*E(5)^-2, 2, 2, E(5)^2+E(5)^-2, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)+E(5)^-1, 6, 0, 0, -6*E(5)^2-6*E(5)^-2, -6*E(5)-6*E(5)^-1, -2, -2, -1*E(5)^2-E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)-E(5)^-1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1], [12, -12, 0, 0, -6, 0, 0, 0, 2, 2, 6*E(5)^2+6*E(5)^-2, 6*E(5)+6*E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 6, 0, -2, -2, -6*E(5)-6*E(5)^-1, -6*E(5)^2-6*E(5)^-2, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [12, -12, 0, 0, -6, 0, 0, 0, 2, 2, 6*E(5)+6*E(5)^-1, 6*E(5)^2+6*E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 6, 0, -2, -2, -6*E(5)^2-6*E(5)^-2, -6*E(5)-6*E(5)^-1, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [15, 15, -1, -3, 0, 0, -5, 3, 0, 0, -5*E(5)-5*E(5)^-1, -5*E(5)^2-5*E(5)^-2, 0, 0, 0, 0, -3, 0, 0, 0, 0, -5*E(5)^2-5*E(5)^-2, -5*E(5)-5*E(5)^-1, 0, 0, 0, 0, 1, 0, E(5)+E(5)^-1, 0, 0, E(5)^2+E(5)^-2, 0, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1], [15, 15, -1, -3, 0, 0, -5, 3, 0, 0, -5*E(5)^2-5*E(5)^-2, -5*E(5)-5*E(5)^-1, 0, 0, 0, 0, -3, 0, 0, 0, 0, -5*E(5)-5*E(5)^-1, -5*E(5)^2-5*E(5)^-2, 0, 0, 0, 0, 1, 0, E(5)^2+E(5)^-2, 0, 0, E(5)+E(5)^-1, 0, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2], [15, 15, -1, 0, -3, 0, 3, -5, -5*E(5)-5*E(5)^-1, -5*E(5)^2-5*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, -3, 0, -5*E(5)^2-5*E(5)^-2, -5*E(5)-5*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 1, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, -1*E(5)^2-E(5)^-2, -1*E(5)-E(5)^-1, 0, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, 0], [15, 15, -1, 0, -3, 0, 3, -5, -5*E(5)^2-5*E(5)^-2, -5*E(5)-5*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, -3, 0, -5*E(5)-5*E(5)^-1, -5*E(5)^2-5*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 1, 0, E(5)+E(5)^-1, E(5)^2+E(5)^-2, 0, -1*E(5)-E(5)^-1, -1*E(5)^2-E(5)^-2, 0, 0, E(5)^2+E(5)^-2, E(5)+E(5)^-1, 0, 0], [16, 16, 0, 4, 4, 1, 0, 0, -4, -4, -4, -4, 1, 1, 1, 1, 4, 4, 1, -4, -4, -4, -4, 1, 1, 1, 1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1], [16, -16, 0, 4, 4, 1, 0, 0, -4, -4, -4, -4, 1, 1, 1, 1, -4, -4, -1, 4, 4, 4, 4, -1, -1, -1, -1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1], [20, 20, 0, -4, 5, -1, 0, 4, 0, 0, -5, -5, 0, 0, 0, 0, -4, 5, -1, 0, 0, -5, -5, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1, 1], [20, 20, 0, 5, -4, -1, 4, 0, -5, -5, 0, 0, 0, 0, 0, 0, 5, -4, -1, -5, -5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, -1, -1, 0, 0, 1, 1, 0, 0], [24, -24, 0, 0, 6, 0, 0, 0, 4, 4, -6, -6, -1, -1, -1, -1, 0, -6, 0, -4, -4, 6, 6, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -1, 0, 0], [24, -24, 0, 6, 0, 0, 0, 0, -6, -6, 4, 4, -1, -1, -1, -1, -6, 0, 0, 6, 6, -4, -4, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, -1], [25, 25, 1, -5, -5, 1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [36, -36, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 1, 1, 1, 1, 0, 0, 0, -6, -6, -6, -6, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]];
ConvertToLibraryCharacterTableNC(chartbl_7200_c);