# Group 629856.ir downloaded from the LMFDB on 18 July 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(1901309076795187701354440327676678121218914511838862962990120779784042847390367348755530627789908392255898807369374424318467137677261340427199744892483638832767420722706845632863506540323256058508997444539863360196107699955704965018373632851733669716043101777892048077538923403555554271497976190625145784702832455596151054734410107570744002207237639830368602991,629856); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.7; e := GPC.10; f := GPC.12; g := GPC.13; h := GPC.14; GPerm := Group( (1,24,15,35,3,23,14,34,2,22,13,36)(4,31,16,20,5,33,17,19,6,32,18,21)(7,28)(8,30,9,29)(10,26,11,25)(12,27), (1,9,15,20,25,33,2,7,14,19,27,31,3,8,13,21,26,32)(4,30,16,6,28,17,5,29,18)(10,35,22,11,36,24,12,34,23), (1,24,21,5,2,23,20,4,3,22,19,6)(7,16,26,36,8,17,25,34,9,18,27,35)(10,31,29,15,11,32,30,14,12,33,28,13) ); # Booleans booleans_629856_ir := 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_629856_ir:=rec(); chartbl_629856_ir.IsFinite:= true; chartbl_629856_ir.UnderlyingCharacteristic:= 0; chartbl_629856_ir.UnderlyingGroup:= GPC; chartbl_629856_ir.Size:= 629856; chartbl_629856_ir.InfoText:= "Character table for group 629856.ir downloaded from the LMFDB."; chartbl_629856_ir.Identifier:= " C3^5.S3^2wrC2 "; chartbl_629856_ir.NrConjugacyClasses:= 297; chartbl_629856_ir.ConjugacyClasses:= [ of ..., f10*f11*f14^2, f4*f5*f6*f11*f12^2*f14^2, f4*f5*f6*f7*f10*f11^2*f13*f14^2, f7*f8*f9*f11*f12*f14^2, f4*f5*f6*f7*f8*f9*f11*f13, f4*f5*f6*f9^2*f10*f12*f13^2*f14^2, f2*f3*f8^2*f9*f12*f14, f2*f3*f5^2*f6*f7*f11*f12^2*f13^2*f14, f1*f4*f6*f7*f9*f10*f12^2*f14, f2*f3*f8*f9^2*f10*f11*f12^2*f13^2*f14, f12^2*f14^2, f12^2*f13, f6, f6^2*f9, f9^2*f12^2*f14^2, f9*f13*f14, f11, f6^2*f9^2*f12^2*f14^2, f6*f12^2*f13, f6^2*f9^2*f12*f13^2, f3^2*f13^2, f9^2*f11, f6^2*f11, f11^2*f12^2*f13, f11^2*f12^2*f13*f14, f3^2*f11*f13^2, f3*f11^2*f13, f3^2*f12^2*f13^2*f14^2, f3*f12*f13*f14, f6^2*f9^2*f11, f6*f11^2*f12^2*f13, f9*f11^2*f12^2*f13, f3^2*f6*f9*f12^2, f3^2*f6*f9^2*f11^2*f12^2*f13^2*f14, f3^2*f11*f12^2*f13^2*f14^2, f3*f11^2*f12*f13*f14, f3*f6*f9^2*f12^2, f3^2*f6^2*f9*f12, f6*f9*f12, f6*f9*f11*f14, f9^2*f11^2*f12*f13^2*f14^2, f3^2*f9^2*f12, f3*f9*f12^2, f3^2*f9*f11^2*f12^2*f14^2, f3*f9^2*f11*f12*f14, f3*f11*f12^2, f1*f2*f3*f4*f5^2*f9^2*f11*f12*f14, f1*f5*f9*f11*f12*f13*f14, f1*f3^2*f6*f8^2*f10*f11^2*f14^2, f10*f11*f12, f7*f8*f10*f13*f14^2, f9*f10*f11, f9*f10*f11*f12, f7*f8*f10*f14, f6*f7*f8*f10*f12*f13, f10, f4*f5*f6*f11, f4*f5*f6*f13*f14, f4*f5*f6*f7*f10*f12*f13, f4*f5*f6*f7*f10*f11^2*f14, f4*f5*f6^2*f7*f8^2*f9^2*f10*f11^2*f12*f13, f2*f3*f4*f5*f6^2*f7*f8^2*f9*f11*f12^2*f14^2, f6*f9*f10*f11*f12, f3*f10*f11, f3^2*f10*f11, f3*f4*f5*f13, f3^2*f4*f5*f13^2, f3^2*f4*f5*f7*f10*f11^2*f12, f3*f4*f5*f7*f10*f11^2*f12*f13^2, f9*f10, f6*f10, f4*f5*f11, f4*f5*f13*f14, f4*f5*f6*f12*f13^2, f4*f5*f7*f10*f12*f13, f4*f5*f6*f7*f10*f14, f4*f5*f7*f10*f11^2*f14, f4*f5*f6*f14, f4*f5*f6*f7*f10*f11^2, f6^2*f7*f8*f9^2*f11*f12*f14^2, f6*f7*f8*f9*f11^2, f3*f10, f3^2*f10, f3*f10*f11*f12, f3*f7*f8*f10, f3*f4*f5*f6, f3^2*f4*f5*f6, f3*f4*f5*f14^2, f3^2*f4*f5*f14, f3*f4*f5*f11*f13, f3^2*f4*f5*f11*f13^2, f2*f4*f7*f8^2*f10, f2*f3^2*f4*f5*f7*f8^2*f10, f3*f4*f5*f7*f10*f11^2, f3^2*f4*f5*f7*f10*f11^2*f13, f3^2*f4*f5*f7*f10*f12, f3*f4*f5*f7*f10*f12*f13^2, f6*f9*f10, f4*f5*f12*f13^2, f4*f5*f7*f10*f14, f4*f5*f14, f4*f5*f6*f12, f4*f5*f6*f7*f10, f4*f5*f7*f10*f11^2, f3*f10*f12, f3^2*f10*f12, f3*f4*f5, f3^2*f4*f5, f3*f4*f5*f12, f3^2*f4*f5*f12^2, f3^2*f4*f5*f12, f3*f4*f5*f12*f13, f3*f4*f5*f7*f10, f3^2*f4*f5*f7*f10*f13, f3*f4*f5*f7*f10*f13^2, f3^2*f4*f5*f7*f10*f13^2, f2*f4*f7*f8^2*f10*f11, f3^2*f4*f5*f7*f10*f11^2, f4*f5*f6^2*f7*f8*f9*f11*f13, f4*f5*f6^2*f9^2*f10*f12*f13^2*f14^2, f4*f5*f6*f8^2*f9^2*f10*f11, f4*f5*f6*f7*f9*f12*f14, f2*f3*f4*f7*f8^2*f10*f13^2*f14^2, f2*f3*f4*f5^2*f7*f8^2*f9*f11^2*f12, f3*f4*f5*f6*f8^2*f9*f11^2*f12^2, f3^2*f4*f5*f6*f8^2*f11^2*f12, f2*f3^2*f4*f5*f7*f8^2*f9*f10*f13*f14^2, f2*f4*f5*f7*f8^2*f10*f11*f12*f13, f3^2*f6^2*f7*f8*f13^2*f14, f2*f6^2*f7*f11^2*f12^2*f13*f14^2, f2*f5*f6*f8*f9, f3^2*f4*f5*f6*f8^2*f9^2*f10*f11^2*f12^2*f14, f3*f4*f5*f6*f8^2*f10*f11^2*f12^2*f13*f14, f2*f3^2*f4*f6^2*f8*f9*f13^2*f14^2, f2*f4*f6*f8*f9*f13^2*f14, f2*f5^2*f6*f9^2*f10*f11*f13*f14^2, f2*f3^2*f5^2*f6^2*f9^2*f10*f11*f13*f14, f1*f4*f6^2*f7*f9^2*f10*f12^2*f14, f1*f2*f4*f5^2*f9^2*f10*f12*f14, f4*f5*f10*f11^2*f12*f13*f14, f4*f5*f6^2*f7*f8*f12^2*f13, f2*f3*f8^2*f9*f11^2*f12^2*f13^2*f14^2, f2*f3*f8*f9^2*f10*f11*f12^2*f13, f2*f3*f5^2*f6^2*f8^2*f12, f2*f3*f5^2*f6*f7*f11*f12^2*f14^2, f2*f3*f5*f7*f9*f11*f12^2*f13^2*f14, f2*f3*f5*f7*f10*f13*f14^2, f2*f3^2*f5^2*f6^2*f7*f9^2*f12*f13*f14^2, f2*f5^2*f6*f7*f12^2*f13*f14, f2*f4*f5*f8*f9*f11^2*f12^2*f14, f2*f3^2*f4*f5*f8*f9*f11^2*f12^2*f13*f14, f2*f6^2*f8^2*f9^2*f10*f11^2*f12^2*f13*f14, f2*f3^2*f6^2*f8^2*f9*f10*f12*f13^2, f2*f3^2*f5^2*f6^2*f9^2*f12^2*f14, f2*f5^2*f6*f9^2*f12^2*f13^2*f14, f3*f4*f5*f6*f9^2*f10*f13, f3^2*f4*f5*f6*f10*f12^2*f14^2, f2*f3^2*f7*f8^2*f10*f11^2*f12*f13*f14^2, f2*f7*f8^2*f9^2*f10*f11^2*f13^2*f14, f1*f4*f5^2*f6^2*f7*f8*f9*f10*f12*f13*f14^2, f2*f3*f5^2*f6^2*f8^2*f9*f10*f11^2*f12^2*f13, f2*f3^2*f8^2*f9*f11*f12*f14^2, f2*f3^2*f5^2*f6*f7*f9*f11^2*f12^2*f14^2, f1*f3*f4*f5^2*f6*f7*f8*f10*f11^2*f12*f13*f14, f2*f6^2*f7*f8^2*f9^2*f10*f11^2*f12*f14, f2*f3^2*f6^2*f7*f8^2*f10*f11^2*f13, f1*f4*f5^2*f6^2*f9^2*f10*f11*f12^2*f13^2*f14^2, f8*f12*f14, f8*f12*f13*f14^2, f6^2*f8*f12*f14, f8^2*f11*f12*f14, f3*f8*f9*f12*f13*f14, f3^2*f8^2*f9^2*f12^2*f13^2*f14^2, f5^2*f8*f12^2*f13^2*f14^2, f5*f6*f8^2*f12*f13^2*f14^2, f5^2*f6^2*f8*f9*f12^2*f13^2*f14^2, f6^2*f8*f12*f13*f14^2, f8*f9^2*f11^2*f13*f14, f5*f6^2*f9*f12^2*f13^2*f14^2, f8*f12*f13, f3^2*f8*f9^2*f12*f13, f3*f8^2*f9^2*f12^2*f13^2, f3^2*f8*f9^2*f12*f13*f14, f3*f8^2*f9^2*f12^2*f13^2*f14^2, f3^2*f6^2*f8*f11^2*f13^2, f3*f6*f8^2*f9*f11*f12*f13*f14, f5*f9, f8^2*f9^2*f11^2*f13^2*f14, f5*f6*f9^2*f11^2*f12^2*f13*f14^2, f3*f5^2*f6*f11^2*f12*f13^2*f14^2, f3^2*f5*f6^2*f11*f12^2*f13^2*f14^2, f3*f5^2*f6^2*f9*f12^2, f3^2*f5*f6*f9^2*f12, f3*f6^2*f8^2*f9^2*f12*f14, f3^2*f6*f8*f9^2*f12^2*f14^2, f5^2*f6*f8^2*f9*f11^2*f12*f13*f14, f5*f8*f11*f12*f13, f5^2*f8^2*f11^2*f12*f13*f14, f5*f6*f8*f11*f12^2*f13^2, f5^2*f6^2*f8^2*f11^2*f13^2, f5*f6^2*f8*f9*f11*f12^2*f13^2, f3^2*f5*f8*f9^2*f12^2*f14^2, f5^2*f9*f11^2*f14^2, f3^2*f8*f9*f11^2*f12^2*f13^2, f3*f8^2*f11*f12^2*f13*f14, f3^2*f5*f8^2*f9*f12^2*f13^2, f3*f5^2*f8*f9^2*f12*f13, f3*f5*f6*f8*f9^2*f11*f12*f13*f14^2, f1*f2*f3*f4*f5^2*f6*f7*f8*f9^2*f14, f1*f2*f3*f5^2*f6^2*f8^2*f11^2*f13*f14, f1*f2*f5*f6^2*f7*f8*f10*f11*f12^2*f13*f14, f7*f10*f12*f13, f7*f10*f14, f6*f7*f10*f12*f13, f8*f10*f11, f3^2*f7*f10*f12, f3*f7*f10*f12*f13^2, f6*f7*f10*f14, f8*f10, f7*f10, f6*f8*f10*f11, f3*f7*f10, f3*f5*f10*f11, f3*f7*f10*f12, f3*f5*f10*f12^2, f5*f7*f10, f5*f8*f10*f11, f5*f6*f7*f10, f2*f3*f4*f6*f7*f9*f10*f11^2*f13^2*f14, f5^2*f7*f8*f9*f11*f12^2*f13*f14^2, f2*f3*f4*f7*f8*f11*f12*f13*f14, f3^2*f4*f6*f7*f10*f11^2*f12*f13*f14^2, f3*f4*f5^2*f7*f9*f10*f11^2*f13, f2*f3^2*f4*f5^2*f6^2*f7*f8*f11*f12*f13^2, f2*f4*f5^2*f7*f9*f11*f12^2, f3^2*f5^2*f6^2*f7*f8*f10*f11, f3*f5*f6^2*f7*f8*f9^2*f10*f11*f12^2*f13^2, f5^2*f6*f7*f8^2*f9^2*f11*f12*f14, f5*f6^2*f7*f9^2*f11*f12*f13^2*f14^2, f5^2*f6^2*f7*f8^2*f9*f11*f12*f14, f5^2*f6^2*f7*f8*f10*f13*f14, f5^2*f9*f10*f11^2*f12*f14^2, f3^2*f6*f7*f8^2*f9*f10*f11^2*f12*f13, f3*f6^2*f7*f10*f11^2*f12^2*f13*f14, f5^2*f8^2*f9*f10*f13*f14, f5*f8*f9^2*f10*f11^2*f12^2*f13*f14^2, f5^2*f6*f8^2*f9^2*f10*f13*f14, f4*f5^2*f6^2*f7*f8^2*f9^2*f10*f11^2*f12^2*f14, f2*f3*f4*f5*f6^2*f7*f8*f9^2*f11*f13*f14, f2*f3*f4*f5^2*f7*f9^2*f11^2*f12^2*f13*f14^2, f6^2*f7*f8^2*f9*f11*f13^2*f14^2, f4*f6*f7*f8^2*f9^2*f10*f14^2, f3*f4*f5^2*f7*f9*f10*f12*f13^2*f14^2, f3^2*f4*f6*f7*f10*f11, f3^2*f5*f6^2*f7*f9*f10*f11^2*f12*f13, f3*f5^2*f6*f7*f8^2*f9^2*f10*f11^2*f12*f14^2, f3*f4*f6^2*f8*f11^2*f12*f13^2, f3^2*f4*f5^2*f6*f8*f11^2, f2*f3^2*f4*f7*f8*f10*f14, f2*f4*f6^2*f7*f9*f10*f11, f3^2*f4*f6*f8*f9*f11*f13*f14^2, f3*f4*f5^2*f8*f9*f11*f12*f13*f14, f3*f5*f7*f8*f9^2*f10*f11^2*f12*f14^2, f3^2*f5^2*f6*f7*f8*f10*f11^2*f12^2, f4*f5^2*f6*f7*f8*f9^2*f11*f12*f13*f14, f2*f3*f4*f6*f8^2*f9^2*f10*f14, f2*f4*f5*f9*f11*f12*f13^2*f14, f2*f3^2*f4*f5*f8^2*f9^2*f11*f12*f13*f14, f3*f4*f5^2*f10*f11^2*f12*f13, f3^2*f4*f6*f9*f10*f11^2*f13*f14, f3*f5*f7*f8*f9^2*f11^2*f12*f13^2*f14^2, f3^2*f5^2*f6*f7*f8*f11^2*f12^2*f13*f14, f2*f3*f4*f5*f6^2*f7*f8*f9^2*f11^2*f12*f13, f2*f3*f4*f7*f9*f10*f12^2*f13^2*f14, f3*f5^2*f6^2*f7*f8^2*f9*f10*f11*f13^2*f14, f3^2*f5*f6*f7*f9^2*f10*f11*f12^2*f14^2, f3^2*f4*f5^2*f6*f7*f8^2*f9*f10*f12^2*f14, f3*f4*f6^2*f7*f8^2*f9*f10*f11, f3^2*f4*f5^2*f8^2*f9*f11*f14^2, f3*f4*f8^2*f9^2*f11*f12*f14^2, f4*f5^2*f7*f8*f9*f12^2*f13, f2*f3*f4*f9*f10*f11*f12^2*f13*f14, f3*f5^2*f6^2*f7*f12*f14, f2*f4*f5*f6^2*f11*f12*f13*f14^2, f2*f3^2*f4*f5*f6^2*f8^2*f11*f12*f13*f14^2, f3^2*f4*f5^2*f6^2*f9*f10*f12^2*f14, f3*f4*f6*f10*f13^2*f14, f1*f4*f5*f7*f8*f9^2*f10*f12*f14^2, f1*f4*f5^2*f6*f7*f8^2*f10*f12^2*f14^2, f1*f4*f5*f6^2*f7*f8*f9*f10*f12*f14^2, f1*f4*f5*f7*f8*f10*f11, f1*f4*f5^2*f7*f8^2*f10*f11^2*f13^2, f1*f4*f5*f6^2*f7*f8*f9^2*f10*f11, f1*f2*f3*f4*f8^2*f9^2*f11*f12^2*f13*f14^2, f1*f2*f3*f4*f5*f8*f9^2*f11*f14, f1*f2*f3*f4*f6^2*f7*f9^2*f12^2*f13^2]; chartbl_629856_ir.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, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297]; chartbl_629856_ir.ComputedPowerMaps:= [ , [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 27, 30, 29, 31, 32, 33, 34, 35, 37, 36, 39, 38, 40, 41, 42, 44, 43, 46, 45, 47, 5, 8, 9, 12, 14, 14, 16, 17, 15, 18, 12, 12, 18, 12, 14, 14, 19, 22, 22, 22, 22, 22, 22, 23, 24, 17, 16, 13, 24, 25, 16, 18, 18, 15, 14, 27, 28, 29, 30, 28, 27, 30, 29, 29, 30, 28, 27, 30, 29, 28, 27, 31, 20, 32, 23, 25, 26, 23, 36, 37, 37, 36, 34, 34, 38, 39, 38, 39, 35, 35, 37, 36, 14, 14, 12, 18, 42, 33, 43, 44, 45, 46, 22, 22, 22, 22, 22, 22, 22, 22, 22, 15, 13, 17, 24, 26, 12, 18, 12, 13, 18, 29, 30, 27, 28, 28, 27, 28, 27, 29, 30, 29, 30, 21, 25, 35, 34, 26, 38, 39, 41, 169, 170, 171, 172, 174, 173, 176, 177, 175, 178, 179, 180, 181, 183, 182, 185, 184, 187, 186, 188, 189, 190, 192, 191, 194, 193, 196, 195, 198, 199, 197, 201, 202, 200, 203, 204, 206, 205, 208, 207, 209, 81, 143, 147, 169, 170, 171, 169, 173, 174, 178, 172, 181, 171, 182, 183, 184, 185, 175, 177, 176, 169, 169, 169, 174, 173, 174, 173, 174, 173, 176, 175, 177, 180, 190, 195, 196, 200, 202, 201, 172, 170, 172, 171, 181, 185, 184, 203, 203, 183, 182, 186, 187, 186, 187, 187, 186, 169, 169, 173, 174, 173, 174, 173, 174, 179, 189, 207, 208, 191, 192, 193, 194, 181, 170, 203, 185, 184, 182, 183, 177, 176, 175, 197, 199, 198, 239, 240, 241], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 48, 49, 50, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 3, 2, 2, 2, 3, 3, 4, 4, 2, 2, 3, 3, 3, 4, 4, 4, 3, 4, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 2, 3, 4, 3, 3, 4, 4, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 7, 7, 6, 4, 3, 3, 3, 4, 4, 5, 9, 8, 7, 7, 6, 6, 11, 11, 10, 10, 7, 6, 8, 11, 8, 9, 9, 11, 9, 9, 6, 6, 11, 11, 8, 8, 7, 7, 11, 11, 10, 11, 8, 9, 10, 11, 11, 10, 14, 14, 14, 14, 14, 14, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 15, 15, 15, 48, 49, 50, 52, 52, 52, 53, 52, 52, 52, 53, 52, 53, 52, 52, 52, 52, 56, 56, 56, 62, 82, 63, 62, 62, 63, 63, 53, 53, 81, 81, 81, 53, 52, 52, 52, 56, 56, 56, 62, 63, 63, 82, 62, 62, 62, 56, 56, 63, 63, 62, 62, 63, 63, 53, 53, 120, 121, 120, 120, 121, 121, 82, 82, 63, 62, 56, 56, 62, 62, 63, 63, 120, 121, 81, 120, 120, 121, 121, 139, 139, 139, 139, 139, 139, 210, 210, 210]]; chartbl_629856_ir.SizesCentralizers:= [629856, 34992, 11664, 11664, 7776, 1296, 1296, 864, 864, 648, 432, 157464, 157464, 157464, 157464, 78732, 78732, 52488, 39366, 39366, 39366, 34992, 26244, 26244, 26244, 17496, 17496, 17496, 17496, 17496, 13122, 13122, 13122, 8748, 8748, 8748, 8748, 8748, 8748, 6561, 4374, 4374, 4374, 4374, 4374, 4374, 2187, 72, 24, 24, 17496, 17496, 17496, 8748, 8748, 8748, 5832, 5832, 5832, 5832, 5832, 5832, 5832, 4374, 3888, 3888, 3888, 3888, 3888, 3888, 2916, 2916, 2916, 2916, 2916, 2916, 2916, 2916, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1944, 1458, 1458, 1458, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 648, 648, 648, 648, 486, 486, 486, 486, 486, 486, 432, 432, 432, 432, 432, 432, 432, 432, 432, 324, 324, 324, 324, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 216, 162, 108, 108, 108, 108, 108, 108, 54, 17496, 8748, 8748, 8748, 5832, 5832, 5832, 5832, 5832, 4374, 4374, 4374, 2916, 2916, 2916, 2916, 2916, 2916, 2916, 2187, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 972, 729, 729, 729, 486, 486, 243, 36, 12, 12, 5832, 2916, 2916, 1944, 1944, 1944, 1458, 972, 972, 972, 972, 972, 972, 972, 972, 972, 972, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 648, 486, 486, 486, 486, 486, 486, 486, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 216, 216, 216, 216, 216, 216, 216, 216, 162, 162, 162, 162, 162, 162, 162, 162, 108, 108, 108, 108, 108, 108, 108, 108, 108, 108, 54, 54, 54, 36, 36, 36]; chartbl_629856_ir.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "3A", "3B", "3C", "3D", "3E", "3F", "3G", "3H", "3I", "3J", "3K", "3L", "3M", "3N", "3O", "3P1", "3P-1", "3Q1", "3Q-1", "3R", "3S", "3T", "3U", "3V", "3W1", "3W-1", "3X1", "3X-1", "3Y", "3Z", "3AA", "3AB1", "3AB-1", "3AC1", "3AC-1", "3AD", "4A", "4B", "4C", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O1", "6O-1", "6P1", "6P-1", "6Q1", "6Q-1", "6R", "6S", "6T", "6U", "6V", "6W", "6X", "6Y", "6Z", "6AA", "6AB", "6AC", "6AD1", "6AD-1", "6AE1", "6AE-1", "6AF1", "6AF-1", "6AG1", "6AG-1", "6AH1", "6AH-1", "6AI1", "6AI-1", "6AJ1", "6AJ-1", "6AK1", "6AK-1", "6AL", "6AM", "6AN", "6AO", "6AP", "6AQ", "6AR", "6AS1", "6AS-1", "6AT1", "6AT-1", "6AU1", "6AU-1", "6AV1", "6AV-1", "6AW1", "6AW-1", "6AX1", "6AX-1", "6AY1", "6AY-1", "6AZ", "6BA", "6BB", "6BC", "6BD", "6BE", "6BF1", "6BF-1", "6BG1", "6BG-1", "6BH", "6BI", "6BJ", "6BK1", "6BK-1", "6BL1", "6BL-1", "6BM1", "6BM-1", "6BN", "6BO", "6BP", "6BQ", "6BR", "6BS", "6BT", "6BU", "6BV", "6BW", "6BX1", "6BX-1", "6BY1", "6BY-1", "6BZ1", "6BZ-1", "6CA1", "6CA-1", "6CB1", "6CB-1", "6CC1", "6CC-1", "6CD", "6CE", "6CF", "6CG", "6CH", "6CI1", "6CI-1", "6CJ", "9A", "9B", "9C", "9D", "9E1", "9E-1", "9F1", "9F2", "9F4", "9G", "9H", "9I", "9J", "9K1", "9K-1", "9L1", "9L-1", "9M1", "9M-1", "9N", "9O", "9P", "9Q1", "9Q-1", "9R1", "9R-1", "9S1", "9S-1", "9T1", "9T2", "9T4", "9U1", "9U2", "9U4", "9V", "9W", "9X1", "9X-1", "9Y1", "9Y-1", "9Z", "12A", "12B", "12C", "18A", "18B", "18C", "18D", "18E1", "18E-1", "18F", "18G", "18H", "18I", "18J1", "18J-1", "18K1", "18K-1", "18L1", "18L5", "18L7", "18M", "18N", "18O", "18P1", "18P-1", "18Q1", "18Q-1", "18R1", "18R-1", "18S1", "18S5", "18S7", "18T", "18U", "18V1", "18V-1", "18W1", "18W5", "18W7", "18X", "18Y", "18Z", "18AA", "18AB", "18AC1", "18AC-1", "18AD1", "18AD-1", "18AE1", "18AE-1", "18AF1", "18AF-1", "18AG1", "18AG-1", "18AH1", "18AH-1", "18AI", "18AJ", "18AK1", "18AK-1", "18AL1", "18AL-1", "18AM1", "18AM-1", "18AN", "18AO", "18AP1", "18AP-1", "18AQ1", "18AQ-1", "18AR1", "18AR-1", "18AS", "18AT", "18AU", "18AV1", "18AV-1", "18AW1", "18AW-1", "18AX1", "18AX5", "18AX7", "18AY1", "18AY5", "18AY7", "36A1", "36A5", "36A7"]; chartbl_629856_ir.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 36, 36]; chartbl_629856_ir.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, 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