# Group 648000.q downloaded from the LMFDB on 10 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(6995218812714937419233170160360531752286608984034935459678836094107019951482479726891077179350755222275415472018198143211215567901714216900078249866948113325499362198564066733902773054912930030226904593420921218805690817804184797847659321043137129093886354890254697317348543875591584223623997616508855084575420589607666391941604745435578926438841541099409916407,648000); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.7; e := GPC.11; f := GPC.12;
GPerm := Group( (2,4)(3,6,11,8)(5,9,12,15,14,13,10,7)(17,19)(18,21)(20,23)(22,24), (1,2,3,5,8,12,6,10,11,14)(4,7,9,13,15)(16,17,18,20,21,24)(19,22,23) );

 
# Booleans 
booleans_648000_q := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false); 

 
# Character Table 
chartbl_648000_q:=rec(); 
chartbl_648000_q.IsFinite:= true; 
chartbl_648000_q.UnderlyingCharacteristic:= 0; 
chartbl_648000_q.UnderlyingGroup:= GPC;
chartbl_648000_q.Size:= 648000;
chartbl_648000_q.InfoText:= "Character table for group 648000.q downloaded from the LMFDB."; 
chartbl_648000_q.Identifier:= " C5^3.C12^2.S3^2 "; 
chartbl_648000_q.NrConjugacyClasses:= 223; 
chartbl_648000_q.ConjugacyClasses:= [<identity> of ..., f2*f3*f10^4*f11^2*f12^2, f5*f6*f11^4, f1*f9*f12, f1*f2*f3^2*f4*f5*f6*f7*f8*f9*f11^2*f12^2*f13^4, f2*f3*f5*f6*f8*f9*f10^3*f11^2*f12*f13, f12^2*f13, f9^2*f10, f9^2*f10*f12^2*f13, f9^2*f10*f12*f13^3, f6^2*f9*f10^3, f3*f6*f9^2*f10*f12*f13, f4*f6^2*f7*f8*f10^4*f13^3, f4*f6^2*f10^4*f11^2*f13^3, f4*f5*f10^3*f11^4*f13^3, f2*f3*f4*f6^2*f7*f8*f10^3*f11^2*f13^3, f1*f4*f6^2*f9*f12, f2*f3*f4*f7*f10^3*f11^3*f12^2*f13^2, f2*f3*f4*f5*f6*f7*f8*f9*f10^2*f11^3*f12^2*f13, f1*f2*f3*f5*f8*f9*f10^2*f11^3*f12^2*f13^2, f10^2, f10*f11*f13^2, f10^4*f11^4*f13^3, f10^2*f11^2*f13^4, f10^3*f11^3*f13, f10*f13^3, f5*f6^2*f9^2*f10*f11^4*f12*f13^3, f5*f6*f11^4*f12*f13^3, f5*f6*f9*f11*f12^2*f13, f5*f6*f9^2*f10^3*f11*f12^2*f13, f5*f6*f9*f10^4*f11, f5*f6^2*f8*f9^2*f10^4*f12^2*f13^2, f5*f6*f8*f10^4*f12^2*f13, f5*f8*f9^2*f10*f13, f8*f9^2*f11^2*f12^2*f13^4, f1*f9*f12^2*f13^3, f1*f9^2*f10*f11^2*f12^2*f13^3, f1*f5*f9*f10^4*f13^2, f1*f9^2*f10*f11^2*f13^2, f1*f2*f3^2*f4*f5*f7*f8*f9^2*f10^3*f11^2*f12^2*f13^4, f2*f6^2*f9^2*f10^2*f11^2*f12^2, f1*f5*f7*f9*f10*f11^2, f1*f4*f6*f7*f9*f10*f13^2, f1*f2*f3*f4*f5*f6^2*f7*f10*f11^2*f12*f13, f1*f2*f3*f6^2*f7*f10^3*f11*f12*f13, f3^2*f5*f10^4*f11^4*f12*f13^4, f5*f6*f8*f9*f10^4*f11^4*f13^3, f2*f3*f11^2*f12^2, f1*f9*f12*f13^4, f1*f9*f12*f13^2, f2*f3*f6*f10^3*f11^4*f12^2*f13^4, f2*f3*f6*f12^2*f13, f2*f3*f6*f10*f11^3*f12^2*f13^2, f2*f3*f6*f10^2*f11*f12^2*f13^3, f1*f4*f8*f9*f10*f11^4*f12^2*f13, f1*f9*f10^3*f11^3*f12*f13, f1*f9*f10^2*f11^2*f12*f13^4, f1*f9*f10^4*f11^4*f12*f13^3, f1*f9*f10*f11*f12*f13^2, f1*f2*f3^2*f4*f5*f6*f9*f10^2*f11^3*f12, f1*f2*f3^2*f4*f5*f6*f9*f10^3*f11^3*f12, f2*f3*f6^2*f9^2*f10^2*f11^2*f12*f13, f1*f2*f3^2*f4*f5*f6*f7*f8*f9*f11^3*f12^2*f13^2, f1*f2*f4*f6^2*f9^2*f10*f11*f12^2*f13, f1*f2*f4*f6^2*f9^2*f10^4*f11^3*f12^2, f1*f2*f4*f6^2*f9^2*f10^3*f11^4*f12^2*f13^2, f1*f2*f4*f6^2*f9^2*f10^2*f12^2*f13^4, f2*f3*f5*f6*f8*f9*f10^3*f11^3*f12*f13, f7*f9^2*f10^3*f11*f12, f4*f5*f6^2*f7*f10^3*f12*f13^4, f4*f5*f8*f9^2*f10^3*f11^3*f12*f13, f4*f6^2*f8*f10^3*f11*f12*f13, f4*f6*f7*f8*f10^4*f13^2, f4*f5*f6*f7*f10^3*f12^2*f13^4, f4*f6*f7*f8*f9^2*f12*f13, f6*f7*f9^2*f10^3*f12*f13^2, f6^2*f7*f8*f10*f12^2*f13^3, f4*f6*f7*f8*f9*f10^3*f13^3, f4*f5*f6*f7*f9*f10^3*f13^3, f7*f8*f9*f10^4*f12^2*f13, f7*f9*f12*f13^3, f4*f5*f9^2*f10^4*f11^4*f12*f13, f4*f6^2*f9*f10^2*f11^2*f12^2*f13^4, f4*f5*f6*f7*f8*f10^2*f11^4*f12*f13, f4*f6*f7*f9^2*f10*f11^4*f12^2*f13^4, f4*f7*f9^2*f11^4*f13, f4*f5*f6^2*f7*f8*f11^4*f13^4, f4*f6*f9*f10*f11^2*f12^2*f13^3, f4*f5*f6*f9^2*f10^2*f11^4*f12, f4*f5*f7*f8*f11^3*f12*f13, f4*f6^2*f7*f9^2*f11^3*f12^2*f13^4, f4*f6*f7*f9*f10^3*f11^4*f12*f13, f4*f5*f6*f7*f8*f9*f11^4*f12^2*f13^4, f4*f6^2*f7*f10^2*f12*f13^4, f4*f5*f7*f8*f9^2*f10^2*f12^2, f4*f7*f9*f10^2*f11^2*f13^3, f4*f5*f6^2*f7*f8*f9*f10^3*f11^2*f13^3, f5*f6*f7*f9*f10^2*f11^3*f12, f5*f6*f7*f8*f9*f10*f11^4*f12^2*f13^2, f1*f4*f5*f9*f10*f11^4*f13^2, f1*f4*f6^2*f9^2*f10^2*f11^4*f12^2*f13, f1*f4*f6^2*f10^2*f11^4*f12^2*f13, f1*f4*f6*f9*f10*f13^2, f1*f2*f3*f6*f8*f9^2*f11*f12*f13^4, f12*f13^4, f9*f10^3*f12*f13^4, f9^2*f10*f13, f9*f10^3*f12^2, f6^2*f9, f10^2*f11^4*f12*f13, f10^3*f11*f12^2*f13^3, f10^4*f11^3*f12^2*f13^2, f10*f11^2*f12*f13^2, f6^2*f9^2*f10*f11^4*f12*f13^3, f6^2*f10^3*f12^2*f13, f6*f9^2*f10*f11^4, f9^2*f10^4*f12*f13^3, f6^2*f9*f10^3*f11^4*f13^2, f9^2*f11^2*f12^2*f13, f6*f10^2*f12^2*f13^3, f10^2*f11*f12*f13^3, f9*f10^2*f11^4, f9^2*f10^3*f11^2*f12*f13^2, f9*f10*f11^3*f12^2*f13^2, f9*f10^2*f11^4*f12^2*f13^4, f9^2*f10^2*f11*f12, f9*f10^2*f11^3*f12*f13^4, f9^2*f10^2*f11^2*f12^2, f9^2*f10^4*f11*f12^2*f13^3, f9*f11^4*f12*f13, f6*f10^3*f11^2*f13^3, f6^2*f10^2*f11^3*f13^2, f6^2*f10*f11^4*f13, f6*f10^4*f11*f13^4, f6*f9^2*f11*f12^2*f13^3, f6^2*f9*f10^4*f11^4*f12*f13, f6^2*f9*f10*f11^2*f12*f13^2, f6*f9^2*f10^3*f11^3*f12^2*f13^2, f9*f13, f9*f12, f9*f12^2, f6*f9^2*f13, f3^2*f6^2*f9*f10^4*f11^2*f13^4, f3*f6*f9^2*f11^2*f12, f3*f6*f9^2*f10^3*f11*f12*f13^3, f3^2*f6^2*f9*f10*f11^3*f13, f4*f6^2*f7*f8*f10^4*f11^3*f13^3, f2*f3*f4*f6^2*f7*f8*f10^3*f11^4*f13^3, f1*f4*f5*f6^2*f7*f9^2*f10^4*f11*f12^2*f13^3, f1*f6^2*f7*f10^3*f11^4*f12*f13^3, f1*f3^2*f4*f5*f6*f7*f8*f9^2*f12^2, f1*f3^2*f9^2*f11^4*f12, f1*f3^2*f5*f6^2*f8*f10^2*f11^4*f13^3, f1*f3^2*f4*f6^2*f7*f9*f10^3, f1*f3^2*f5*f9^2*f10^2*f11^3*f12^2*f13, f1*f3^2*f4*f5*f6^2*f7*f9*f10^4*f12*f13, f1*f2*f3*f5*f6*f7*f9^2*f10*f12^2*f13^4, f1*f2*f3*f4*f7*f9*f11^4*f13^3, f8*f9*f11^3*f12*f13, f5*f8*f9^2*f10^4*f11^3*f12*f13^3, f5*f6*f9*f11^4*f12*f13^2, f5*f6*f9^2*f10^3*f11^4*f12, f5*f8*f9*f10*f11^2*f13^2, f1*f9, f1*f9*f13, f1*f11^2, f1*f11^2*f13, f1*f5*f10, f1*f5*f10*f13, f1*f11^2*f12^2, f1*f11^2*f12^2*f13^2, f5*f6^2*f8*f9^2*f10^4*f11^2*f12^2*f13^2, f6*f8*f9*f10*f12*f13^4, f5*f8*f9^2*f10^2*f11^2*f13, f8*f9^2*f10^4*f12^2*f13, f1*f4*f8*f9^2*f11^2, f1*f3^2*f7*f9^2*f10^3*f11*f12^2*f13^2, f1*f4*f6^2*f8*f9^2*f10^4*f11^4, f1*f6^2*f9*f10^3*f11*f13^2, f1*f9^2*f10^4*f11*f13^4, f1*f10*f11^4*f12^2*f13, f1*f9^2*f11^2*f13, f1*f11^3*f12^2*f13^4, f1*f3*f4*f5*f6^2*f7*f8*f9^2*f10^4*f12*f13^3, f1*f3*f4*f5*f6^2*f7*f8*f9^2*f10^3*f11*f12^2*f13^4, f1*f3*f4*f5*f6^2*f7*f8*f9^2*f10^2*f11^2*f12*f13^4, f1*f3*f4*f5*f6^2*f7*f8*f9^2*f11^4*f12^2*f13^3, f1*f4*f5*f6^2*f8*f9^2*f10*f11^2*f12^2*f13^4, f1*f4*f5*f6^2*f8*f9*f10^4*f11^4*f12, f1*f4*f5*f6^2*f8*f9^2*f10^3*f11*f12^2*f13^2, f1*f4*f5*f6^2*f8*f9*f10^2*f12*f13^2, f1*f3^2*f7*f9^2*f10^2*f11^2*f12*f13, f1*f3^2*f6^2*f7*f9^2*f10^4*f12*f13^3, f1*f3^2*f7*f9^2*f10*f11^3*f12, f1*f3^2*f6^2*f7*f9^2*f11^4*f12*f13^4, f1*f2*f3^2*f4*f5*f6^2*f10^2*f11^3*f12, f1*f2*f3^2*f4*f5*f6^2*f10^3*f11^3*f12, f1*f2*f3^2*f4*f5*f6^2*f7*f8*f10^2*f11^4*f12^2, f1*f2*f4*f6*f10*f13^3, f1*f2*f4*f9*f11^4*f12*f13^4, f1*f2*f4*f6*f10^3*f11^3*f13^4, f1*f2*f4*f9*f10^3*f11*f12*f13^3, f2*f3^2*f9*f11*f12*f13^3, f2*f6^2*f9^2*f10^4*f11^3*f12^2*f13^2, f2*f3^2*f9*f10^3*f12*f13, f2*f6^2*f9^2*f10*f11^4*f12^2*f13^4, f3*f5*f8*f10^4*f11^4*f12^2*f13^4, f3^2*f5*f11*f12^2*f13, f3^2*f5*f10^2*f13^3, f3*f5*f8*f10^2*f12*f13^3, f7*f9^2*f10^2*f11*f12^2*f13^3, f4*f5*f6*f7*f9*f10*f11^4*f12^2*f13^2, f4*f5*f8*f10^2*f11^3*f12^2*f13, f4*f6^2*f8*f9^2*f10^4*f11*f12^2, f4*f7*f8*f10^4*f11*f13^2, f4*f5*f6^2*f7*f9*f10*f11*f12*f13, f4*f7*f8*f9*f10^2*f11^4*f12^2*f13^4, f6^2*f7*f9^2*f12^2, f6*f7*f8*f10^4*f12, f4*f7*f8*f9^2*f10*f11*f13^3, f4*f5*f6^2*f7*f11^4*f13^3, f7*f8*f9^2*f10^4*f12*f13^3, f7*f12^2*f13];
chartbl_648000_q.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, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223];
chartbl_648000_q.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 7, 8, 9, 10, 11, 12, 3, 3, 3, 3, 3, 3, 3, 3, 21, 24, 25, 23, 22, 26, 11, 7, 10, 9, 8, 8, 9, 11, 10, 7, 9, 8, 10, 11, 12, 14, 15, 15, 14, 46, 21, 21, 21, 21, 24, 25, 22, 23, 26, 22, 23, 25, 24, 21, 21, 26, 26, 24, 25, 22, 23, 21, 28, 27, 30, 29, 31, 32, 32, 33, 33, 34, 34, 35, 35, 29, 29, 30, 30, 31, 31, 27, 27, 28, 28, 32, 32, 33, 33, 34, 34, 35, 35, 28, 30, 29, 31, 27, 105, 106, 107, 108, 109, 112, 113, 111, 110, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 124, 123, 129, 130, 128, 127, 133, 134, 132, 131, 137, 138, 136, 135, 139, 140, 141, 142, 145, 146, 144, 143, 47, 47, 82, 83, 84, 85, 86, 87, 90, 91, 88, 89, 105, 109, 106, 108, 107, 105, 105, 106, 106, 107, 107, 108, 108, 114, 115, 116, 117, 119, 120, 121, 122, 123, 124, 125, 126, 113, 112, 110, 111, 127, 128, 129, 130, 131, 132, 133, 134, 109, 109, 118, 135, 136, 137, 138, 143, 144, 145, 146, 209, 210, 208, 207, 159, 160, 161, 162, 163, 172, 172, 173, 173, 174, 174, 175, 175], [1, 2, 3, 4, 5, 6, 1, 1, 1, 1, 1, 1, 13, 15, 14, 16, 17, 19, 18, 20, 21, 25, 24, 22, 23, 26, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 2, 43, 42, 45, 44, 7, 47, 48, 50, 49, 53, 54, 52, 51, 55, 58, 59, 57, 56, 61, 60, 62, 63, 66, 67, 65, 64, 68, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 15, 14, 15, 15, 14, 15, 14, 14, 15, 15, 14, 15, 14, 15, 14, 14, 15, 17, 17, 17, 17, 20, 21, 21, 21, 21, 21, 23, 22, 25, 24, 21, 21, 21, 21, 26, 26, 26, 26, 26, 22, 23, 24, 25, 25, 24, 22, 23, 24, 25, 23, 22, 24, 25, 23, 22, 26, 26, 26, 26, 24, 25, 23, 22, 147, 148, 42, 43, 42, 43, 43, 42, 42, 43, 44, 45, 47, 47, 47, 47, 47, 49, 50, 49, 50, 49, 50, 49, 50, 47, 47, 47, 47, 55, 55, 55, 55, 56, 57, 59, 58, 59, 58, 57, 56, 58, 59, 56, 57, 59, 58, 57, 56, 60, 61, 63, 64, 65, 67, 66, 51, 52, 54, 53, 110, 111, 112, 113, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147, 147], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 1, 1, 1, 1, 1, 1, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 3, 2, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 4, 5, 5, 2, 5, 5, 5, 5, 5, 6, 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, 7, 9, 8, 10, 11, 7, 7, 7, 7, 8, 9, 11, 10, 11, 9, 10, 7, 8, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 11, 11, 11, 11, 8, 9, 10, 11, 12, 12, 12, 12, 13, 16, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 28, 27, 30, 29, 31, 36, 36, 37, 37, 38, 38, 39, 39, 32, 33, 34, 35, 37, 39, 36, 38, 39, 39, 39, 39, 36, 36, 36, 36, 37, 37, 37, 37, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 46, 46, 46, 46, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81]];
chartbl_648000_q.SizesCentralizers:= [648000, 24000, 8640, 3600, 1200, 320, 324000, 108000, 108000, 108000, 108000, 90, 4320, 1728, 1728, 160, 144, 64, 64, 48, 54000, 40500, 40500, 40500, 40500, 13500, 4320, 4320, 4320, 4320, 4320, 2160, 2160, 2160, 2160, 1800, 1800, 1800, 1800, 600, 30, 144, 144, 48, 48, 45, 2160, 2000, 1800, 1800, 1500, 1500, 1500, 1500, 900, 900, 900, 900, 900, 600, 600, 500, 300, 300, 300, 300, 300, 80, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 2160, 864, 864, 864, 864, 864, 864, 864, 864, 864, 864, 432, 432, 432, 432, 432, 432, 432, 432, 72, 72, 72, 72, 24, 27000, 27000, 27000, 27000, 27000, 20250, 20250, 20250, 20250, 13500, 13500, 13500, 13500, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 6750, 3375, 3375, 3375, 3375, 90, 90, 90, 90, 1080, 40, 72, 72, 72, 72, 72, 72, 72, 72, 24, 24, 1080, 1080, 1080, 1080, 1080, 900, 900, 900, 900, 900, 900, 900, 900, 540, 540, 540, 540, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 450, 300, 300, 150, 150, 150, 150, 150, 30, 30, 30, 30, 45, 45, 45, 45, 540, 540, 540, 540, 540, 540, 540, 540, 540, 540, 540, 540, 540];
chartbl_648000_q.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "3A", "3B", "3C", "3D", "3E", "3F", "4A", "4B1", "4B-1", "4C", "4D", "4E1", "4E-1", "4F", "5A", "5B1", "5B-1", "5B2", "5B-2", "5C", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O", "8A1", "8A-1", "8B1", "8B-1", "9A", "10A", "10B", "10C1", "10C3", "10D1", "10D-1", "10D3", "10D-3", "10E", "10F1", "10F-1", "10F3", "10F-3", "10G1", "10G3", "10H", "10I", "10J1", "10J-1", "10J3", "10J-3", "10K", "12A", "12B", "12C", "12D", "12E", "12F1", "12F-1", "12G1", "12G-1", "12H1", "12H-1", "12I1", "12I-1", "12J1", "12J-1", "12K1", "12K-1", "12L1", "12L-1", "12M1", "12M-1", "12N1", "12N-1", "12O1", "12O-1", "12P1", "12P-1", "12Q1", "12Q-1", "12R1", "12R-1", "12S", "12T", "12U", "12V", "12W", "15A", "15B", "15C", "15D", "15E", "15F1", "15F-1", "15F2", "15F-2", "15G", "15H", "15I", "15J", "15K", "15L", "15M", "15N", "15O", "15P1", "15P-1", "15P2", "15P-2", "15Q1", "15Q-1", "15Q2", "15Q-2", "15R1", "15R-1", "15R2", "15R-2", "15S1", "15S-1", "15S2", "15S-2", "15T", "15U", "15V", "15W", "15X1", "15X-1", "15X2", "15X-2", "20A", "20B", "24A1", "24A-1", "24B1", "24B-1", "24C1", "24C-1", "24D1", "24D-1", "24E1", "24E-1", "30A", "30B", "30C", "30D", "30E", "30F1", "30F7", "30G1", "30G7", "30H1", "30H7", "30I1", "30I7", "30J", "30K", "30L", "30M", "30N", "30O", "30P", "30Q", "30R1", "30R-1", "30R7", "30R-7", "30S1", "30S-1", "30S7", "30S-7", "30T1", "30T-1", "30T7", "30T-7", "30U1", "30U-1", "30U7", "30U-7", "30V1", "30V7", "30W", "30X1", "30X-1", "30X7", "30X-7", "30Y1", "30Y-1", "30Y7", "30Y-7", "45A1", "45A-1", "45A2", "45A-2", "60A", "60B", "60C", "60D", "60E", "60F1", "60F-1", "60G1", "60G-1", "60H1", "60H-1", "60I1", "60I-1"];
chartbl_648000_q.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 20, 20, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 45, 45, 45, 45, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60];
chartbl_648000_q.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, 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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, -1, 2, 2, -1, -1, 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ConvertToLibraryCharacterTableNC(chartbl_648000_q);