Spracherkennung für: .tbl vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
#############################################################################
##
#W ctprimar.tbl GAP table library Thomas Breuer
##
## This file is used only by GAP 3.
## It contains the data of the GAP character table library that is
## automatically produced from the library files.
##
#############################################################################
##
#V LIBLIST
##
## We define `LIBLIST' here in order to avoid an explicit
## `Read' statement in one of the files.
##
BindGlobal( "LIBLIST", rec() );
#############################################################################
##
## Read the data that was automatically produced.
##
LIBLIST.firstnames := [
# file ctoalter
"(2xA6).2_3", "2.A10", "2.A10.2", "Isoclinic(2.A10.2)", "2.A11", "2.A11.2",
"Isoclinic(2.A11.2)", "2.A12", "2.A12.2", "Isoclinic(2.A12.2)", "2.A13",
"2.A13.2", "Isoclinic(2.A13.2)", "2.A14.2", "Isoclinic(2.A14.2)",
"2.A15.2", "2.A16.2", "2.A17.2", "2.A18.2", "2.A5", "2.A5.2",
"Isoclinic(2.A5.2)", "2.A6", "2.A6.2_1", "2.A6.2_2", "Isoclinic(2.A6.2_2)",
"2.A7", "2.A7.2", "Isoclinic(2.A7.2)", "2.A8", "2.A8.2",
"Isoclinic(2.A8.2)", "2.A9", "2.A9.2", "Isoclinic(2.A9.2)", "2F4(2)'M7",
"3.A6", "3.A6.2^2", "3.A6.2_1", "3.A6.2_2", "3.A6.2_3", "3.A7", "3.A7.2",
"Isoclinic(2.A6x2)", "4.A6.2_3", "6.A6", "6.A6.2_1", "6.A6.2_2",
"Isoclinic(6.A6.2_2)", "6.A7", "6.A7.2", "Isoclinic(6.A7.2)", "A10",
"A10.2", "A11", "A11.2", "A12", "A12.2", "A13", "A13.2", "A14", "A5",
"A6M2", "A5.2", "A6.2_1M3", "A6", "A6.2^2", "U4(3).2_3M10", "A6.2_1",
"A6.2_2", "A6.2_3", "A7", "A7.2", "A8", "A8.2", "A9", "A9.2", "M12M4",
"A14.2", "A15.2", "A15", "A16.2", "A16", "A17", "A17.2", "A18", "A18.2",
"A19", "A19.2", "Isoclinic(6.A6x2)", "Isoclinic(3.A6.2_3x2)", "12.A6.2_3",
# file ctoatres
"2.F4(2)", "2.F4(2).2", "Isoclinic(2.F4(2).2)", "Isoclinic(2x2.F4(2).2)",
"2.(2xF4(2)).2", "2.G2(4)", "2.G2(4).2", "Isoclinic(2.G2(4).2)", "2.Sz(8)",
"2^2.Sz(8)", "2^2.Sz(8).3", "3.G2(3)", "3.G2(3).2", "F4(2)", "F4(2).2",
"G2(3)", "G2(3).2", "G2(4)", "G2(4).2", "G2(5)", "G2(7)", "R(27)",
"R(27).3", "Sz(32)", "Sz(32).5", "Sz(8)", "Sz(8).3",
# file ctocliff
"3^(1+10):U5(2):2", "3^5:U4(2)", "3^7:O7(3)", "2^7:S6(2)", "2^8:O8+(2)",
"2^8:S8(2)", "2^(1+22).Co2",
# file ctoconja
"2.Co1", "2.J2", "2.J2.2", "Isoclinic(2.J2.2)", "3.J3", "3.J3.2", "Co1",
"Co2", "Co3", "J1", "J2", "J2.2", "J3", "J3.2", "J4",
# file ctodefno
"NDG(12.M22,3^2)", "12.M22N3", "3xIsoclinic(2x5:8)", "12x7:3", "12x11:5",
"3x2.M22N2", "2x3.(A4x3):2", "(GL(2,3)x2F4(2)').2", "D8x2F4(2)'.2",
"QD16.2", "(QD16x2F4(2)').2", "2.(3^2:D8xU4(3).2^2).2", "2xBN5",
"(5^2:4S4x2.A5):2", "2.BN7", "(3^2x2).U4(3).D8", "NDG(2.Co1,3^3)",
"NDG(Co1,5^2)", "NDG(2.Co1,5^2)", "2xCo1N3", "2xCo1N5", "2x5^(1+2):GL2(5)",
"2x7^2:(3x2A4)", "2.HS.2N3", "2.HSN2", "2.HS.2N2", "NDG(2.HS,Q8)",
"NDG(2.HS,Q8).2", "5^(1+2):8:4", "2.J2N2", "2.J2N3", "2.J2.2N5", "2.M12N2",
"2xM12N3", "2.RuN2", "5^(1+2):(4x4):4", "3.F3+N5", "3.F3+.2N5", "3xF3+N7",
"3.F3+.2N7", "(A4x11:5).2", "3x(A4x11:5).2", "(3^(1+2)_+:2x13:6).2",
"3x17:16", "3x23:11", "3x29:14", "3x(D10xA9).2", "3x(3xA6):2_2",
"3.(3xM10):2", "3xJ3N2", "3^3.3^(1+2):8", "3^3.3^(1+2):8.2", "3.McL.2N5",
"3xMcLN2", "(3xMcLN2).2", "McL.2N3", "3.McL.2N3", "3xONN2", "ON.2N2",
"(3xONN2).2", "NDG(ON,D8)", "NDG(3.ON,D8)", "NDG(ON,D8).2",
"3x(4x2^2).2^4.S3", "3x(4^2x2).2^3.S3", "3.ON.2N3", "3.ON.2M4", "3.ON.2N7",
"2.M22N2", "4.M22N2", "3x4.M22N2", "Isoclinic(2x(2.A4x3).2)",
"Isoclinic(4x3^2:Q8)", "Isoclinic(2x5:8)", "4x7:3", "4x11:5", "2x11:10",
"6.A6N2", "2^6.2^5.S6", "2^10.2^3.L3(2)", "2^(5+8):(2xA6)",
"(2x2^(1+8)_+).2.2^4.(S3xS3)", "2^(5+8):(S3xS4)", "2^(5+8):(S3xD8)",
"2^10.2^4.S5", "2^(5+8):(2xS4)", "2^10.2^2.2^2.S4", "2^10.2^3.S4",
"2^(5+8):(S3x3.A6)", "2^(5+8):(2x3.A6)", "S3x6_1.U4(3).2_2",
"2x3^5:U4(2):2", "2x3^5.3^3.(2xS4)", "2x(3^(1+6).3)a.2.S4",
"2x(3^(1+6).3)b.2.S4", "2x3^5.3^(1+2).2.S4", "2xFi22N3", "2xS3x7:6",
"2^2x11:5", "2x13:6", "3.Fi22N3", "3x2^6:S6(2)", "S3x3_1.U4(3).2_2",
"3.3^(1+6):2^(3+4):3^2:2", "3x2^6.2^5.S6", "3x2^10.2^3.L3(2)",
"3x2^10.2^4.S5", "3x2^(5+8):(S3xS4)", "3x(2x2^(1+8)_+).2.2^4.(S3xS3)",
"3x2^10.2^3.S4", "3x2^10.2^2.2^2.S4", "3x2^(5+8):(S3xD8)",
"3x2^(5+8):(2xS4)", "3xFi22N2", "3x5:4xS5", "6x5:4xS5", "3xFi22N5",
"3xS3x7:6", "6xS3x7:6", "6x11:5", "2x6x11:5", "2x3.Fi22N3", "2xFi22N5",
"6xFi22N5", "3x5^2:(4xS3)", "3x2.J2.2N5", "D8xS6(2)", "NDG(He.2,3^2)",
"NDG(HN,3^2)", "NDG(HN.2,3^2)", "HNN3", "HN.2N3", "3^4.(3xSL(2,3)).2",
"HNN5", "NDG(J4,3^2)", "(3^(1+2):2^2xG2(3)):2", "(3^2:2x13:6).2",
"(D10xA9).2", "MN5", "(11:5xM12):2", "2F4(2)'N2", "2F4(2)'.2N2",
"2^(3+1+3).L3(2)", "2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)",
"NRS(M24,2^(4+4))", "[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b",
"NRS(M24,[2^9]b)", "L3(2)xS3", "3x2^(1+4)_-:A5", "3x2^(2+4):(3xS3)",
"3x11:5", "6x7:3", "G2(3).2N2", "3^2.(3x3^(1+2)+):2^2",
"3^3.(3x3^(1+2)+):2^2", "U3(5).2N2", "(D10xU3(5)N2).2", "5:4xU3(5).2N2",
"2^(1+8)_+.(2xA5)", "2^(1+8)_+.(A4xA5)", "2^(1+8)_+.(A4xA4).2",
"(D8xA6).2^2", "(7:3xA5):2", "2^(2+1+2+4+2).(3xS4)", "D8xU3(3).2",
"(Q16xU3(3)).2", "3x4^2:D12", "3xM12N2", "3x7:6", "3x13:6", "6x13:6",
"S3x13:6", "5:4xS7", "S3xA5", "G2(4)N2", "3^(1+2):8:4", "S3x2.A5",
"2.A5.2xS3", "2.D10xA5", "(7:3x3):4", "2.M12N5", "7:12", "NRS(M22,[2^6])",
"2^(2+8):(3xA5):2", "2^(4+6):(A5x3):2", "2.HSN3A", "2^3.(2x2^3.L3(2))",
"(7:3xL2(7)):2", "F4(2)N7B", "3x19:9", "3x17:8", "3xD6xD10", "3x2^3.S4v1",
"3xNRS(M22,[2^6])", "2.2^3.2^5.S3", "(2^2x4).2^5.S3", "2.2^4.2^4.S3",
"(2x4^2).2^4.S3", "2.2^(4+6).2.S3", "S3xU4(2).2", "3^4.A6.D8",
"(Q8xD14):3", "(Q8x13:4):3", "5:4xS5x2", "2^5.2^4.L4(2)",
"(2^5.2^6)a.(S3xL3(2))", "(2^5.2^6)b.(L3(2)xS3)", "2^5.2^6.(2xL3(2))",
"(2^5.2^6.2^2)a.S3^2", "(2^5.2^6.2^2)b.S3^2", "2^5.2^6.D8.S3",
"(2^(1+8).2^3)a.L3(2)", "(2^(1+8).2^3)b.L3(2)", "2^(1+8).2^4.S3^2",
"2^(1+8).2^4.2.S3", "2^(1+8).2^3.2^2.S3", "2^(1+8).2^(1+4).S3",
"2^(1+8).2^2.(3xA5).2", "2^(1+8).2^2.S3^2", "2^(1+8).D8.S3", "(D10xA6).2",
"5:8", "(2.D10xA6).2", "2x3^5:(3^2:SD16)", "31:6", "11:5xS3",
"(SL2(3)x7:3).2", "3^5.3^3.(2xS4)", "(3^(1+6).3)a.2.S4",
"(3^(1+6).3)b.2.S4", "3^5.3^(1+2).2.S4", "(3^2:4xD10).2", "(3^2:D8xD10).2",
"S4x3^2:4", "S4x3^(1+2):4", "(3^(1+2):4xD10).2", "3x7^(1+2):(D8x3)",
"3x19:6", "3x31:15", "2.(S4xS5)", "2.D8.S5", "(2^(1+4)x3).GO+(4,2)",
"2^(1+4).S3^2", "2.(D8x2^2).S3", "2.2^4.2.S3", "(4x2^2).2^4.S3",
"(4^2x2).2^3.S3", "2^(1+6)_-.2^4.A5", "2^(4+6).2^2.(3xS3)",
"2^(2+8).2^2.(3xS3)", "(A4x7:3):2", "S4x3^2:Q8", "11:20",
"(SL(2,3)x7:3).2", "3x(A5xD10).2", "(D10x3.A6).2_3", "3x(A4x7:3):2",
"3x11:10", "S4x3^(1+2)_+:Q8", "D8x3^(1+2)_+:Q8", "2.(D8x3^2:Q8)",
"3x2^(1+6)_-.2^4.A5", "3x2^(2+8).2^2.(3xS3)", "3x2^(4+6).2^2.(3xS3)",
"3xSuzN2", "(2.D10x3.A6).2_3", "3x(SL(2,3)x7:3).2", "3x11:20",
"3x(2x13).6", "3x(2.A5xD10).2", "2^(1+8)_+.2^5.S4(2)",
"2^3.(2x2^(1+3+3+3).L3(2))", "2^(1+1+3+3).(2x2^(3+3).L3(2))",
"2^(1+1+2+4).(2x2^(2+4).S3^2)", "2^10.2^3.2^3.S3",
"2^(1+8)_+.2^3.2^2.2^3.S3", "2^(1+8)_+.2^2.2^2.2^4.S3",
"2^(1+8)_+.2^3.2^5.S3", "3xD10", "2.SuzN2", "2.G2(4)N2",
"3.3^5:(3^2:SD16)", "3x2.SuzN2", "2x3.3^5:(3^2:SD16)",
"2.(D8x3^(1+2)_+:Q8)", "2.Fi22N2", "3x2.Fi22N2", "(2^2x11:5).2", "2^5:A6",
"3^4:S6", "3^4:3^2:D8", "S3x5:4", "3^3:(S3x2)", "3^3:S3", "2^4:A4",
"2x7:6", "5:4xS4", "(3x2.D10).2", "2.A8N3", "S6(2)N2", "2x3^3:S3",
"2.U4(2)N2", "2.(S3x5:4)", "2x3^3:(S3x2)", "2^6:S4a", "2^6:S4b",
"2.[2^6].(2xS3)", "3x2.D10", "(D10x2^3.L3(2)).2", "7:3xS5", "31:10",
"23:22", "11:10xS3", "(7:3xA7):2", "(13:6xA4).2", "5^3:(4x(2xA5).2)",
"(D10xJ2).2", "2^4:A4b", "3^4.3^2:4", "2^(4+8).(2xA4)", "2^9.2^4.A5a",
"2^9.2^4.A5b", "2^(4+8):(A4xS3)", "S6xD8", "(2^4:A4xA4).2",
"(2x2^(1+8)_+).O8+(2)", "2.2^(2+12):(A8xS3)", "2.(A5wr2)",
"(D10x2.(A5xA5).2).2", "(11:5xD12).2", "2.(13:6xA4).2", "(7:3x2.A7):2",
"2.(D10xJ2).2", "2x(7:3xL2(7)):2", "(7:3x2.L3(4).2).2",
"(3^(1+2):8x2.A6).2", "3^6:L4(3):2_2", "3^(3+6):(L3(3)x2)",
"2^(1+6).3^(1+2).2S4", "L3(3)x2", "(3xSL(2,3)):2", "S3x(3xSL(2,3)):2",
"2^(1+4)_+.(S3x3^2:2)", "A7xS3", "D8xS3", "2.2^4.(S3x3^2:2)",
"2.2^(4+12).(S3x3S6)", "2x3^(1+4).2U4(2).2", "3^(3+4):(2.S4)^2",
"(2.A7xL2(7)).2", "(2.A6xU3(3)).2", "(2.A4x2.G2(4)).2", "2.(A4xG2(4)).2",
"(2.A5x2.J2).2", "2.(A5xJ2).2", "2(S4xS4)", "S3x2.S4", "2^6:S7",
"S4xU3(3).2", "A8xS3", "2x2.M12", "2x2.A4xS3", "2^2x3^2.2.S4", "2.S4x2.S4",
"2x2.U4(2).2", "2x2.(3^3:(S4x2))", "2xS3x2.S4", "S3x3.S6", "2x3.S6",
"(D10xD10).2^2", "(3x3^3:S3):2", "(3x3^(1+2)+:2A4).2", "2^12.(S3x3S6)",
"2^12.(2^2xD8)", "2^(3+3+3).L3(2)", "NRS(O8+(2),2^(3+3+3)_a)",
"NRS(O8+(2),2^(3+3+3)_b)", "O8+(2)N2", "5:4xS6",
# file ctoexce1
"E6(2)", "F4(3)",
# file ctofisc1
"2.Fi22", "2.Fi22.2", "Isoclinic(2.Fi22.2)", "3.Fi22", "3.Fi22.2",
"6.Fi22", "6.Fi22.2", "Isoclinic(6.Fi22.2)", "Fi22", "Fi22.2",
# file ctofisc2
"3.F3+", "3.F3+.2", "F3+", "F3+.2", "Fi23",
# file ctoholpl
"P1/G1/L1/V1/ext2", "P1/G1/L1/V1/ext3", "P1/G1/L1/V1/ext4",
"P1/G1/L1/V1/ext5", "P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext3",
"P1/G1/L1/V2/ext6", "P1/G2/L1/V1/ext2", "P1/G2/L1/V1/ext3",
"P1/G2/L1/V1/ext4", "P1/G2/L1/V2/ext2", "P1/G2/L1/V2/ext4",
"P1/G2/L2/V2/ext2", "P1/G2/L2/V2/ext4", "P1/G3/L2/V1/ext2",
"P1/G3/L2/V1/ext3", "P11/G1/L1/V1/ext2", "P11/G1/L1/V1/ext3",
"P11/G1/L1/V1/ext4", "P11/G1/L1/V2/ext2", "P11/G1/L1/V2/ext4",
"P11/G1/L1/V3/ext2", "P11/G1/L1/V3/ext4", "P11/G2/L1/V1/ext2",
"P11/G2/L1/V1/ext3", "P11/G2/L1/V2/ext2", "P11/G3/L1/V1/ext2",
"P11/G3/L1/V1/ext3", "P11/G3/L1/V2/ext3", "P11/G3/L3/V1/ext2",
"P11/G3/L3/V2/ext3", "P11/G3/L4/V2/ext2", "P11/G3/L4/V2/ext3",
"P11/G3/L4/V3/ext2", "P11/G4/L1/V1/ext2", "P11/G4/L1/V1/ext3",
"P12/G1/L2/V1/ext2", "P12/G1/L2/V1/ext3", "P13/G1/L2/V1/ext2",
"P13/G1/L2/V1/ext3", "P13/G1/L6/V1/ext2", "P2/G1/L1/V1/ext2",
"P2/G1/L1/V1/ext3", "P2/G2/L1/V1/ext2", "P2/G2/L1/V1/ext3",
"P2/G2/L1/V2/ext2", "P21/G1/L1/V1/ext2", "P21/G1/L1/V1/ext3",
"P21/G1/L1/V1/ext4", "P21/G1/L3/V2/ext3", "P21/G2/L1/V1/ext2",
"P21/G2/L1/V2/ext2", "P21/G2/L1/V3/ext2", "P21/G2/L2/V1/ext2",
"P21/G2/L2/V2/ext2", "P21/G2/L2/V3/ext2", "P21/G2/L5/V2/ext2",
"P21/G3/L2/V1/ext2", "P21/G3/L5/V1/ext2", "P27/G1/L1/V1/ext2",
"P27/G1/L1/V1/ext3", "P27/G1/L1/V1/ext4", "P31/G1/L1/V1/ext2",
"P31/G1/L1/V1/ext3", "P41/G1/L1/V1/ext2", "P41/G1/L1/V1/ext3",
"P41/G1/L1/V2/ext2", "P41/G1/L1/V3/ext3", "P41/G1/L1/V4/ext2",
"P41/G1/L1/V4/ext3", "P41/G2/L1/V1/ext2", "P41/G2/L1/V1/ext3",
"P43/G1/L1/V1/ext2", "P43/G2/L1/V1/ext2", "P43/G3/L1/V1/ext2",
"P43/G3/L1/V2/ext2", "P48/G1/L1/V1/ext2", "P48/G1/L1/V2/ext2",
"P49/G1/L1/V1/ext2", "P49/G1/L1/V1/ext3", "P49/G1/L1/V2/ext3",
"P50/G1/L1/V1/ext2", "P50/G1/L1/V1/ext3", "P50/G1/L1/V1/ext4",
# file ctoinert
"S3", "2.S3", "Symm(4)", "2.Symm(4)", "D8", "2.D8", "D10", "7:3", "2x7:3",
"C2", "C3", "C4", "C6", "3^2:2", "3^(1+2)_+:2", "3^2:4", "2^3.S3",
"2^3.D8", "2^3.S4v1", "2^3.S4v2", "2xSymm(4)", "D8x2", "2^2:S4",
"(A4x3):2", "S3x2", "(A5x3):2", "2^4:(3x3):2", "2^3:7", "2^3", "S3xS3",
"3^(1+2):4", "4^2:3", "3^2", "3^(1+2)_+", "2.2^4:3",
# file ctoline1
"2.L2(11)", "2.L2(11).2", "Isoclinic(2.L2(11).2)", "2.L2(13)",
"2.L2(13).2", "Isoclinic(2.L2(13).2)", "2.L2(17)", "2.L2(17).2",
"Isoclinic(2.L2(17).2)", "2.L2(19)", "2.L2(19).2", "Isoclinic(2.L2(19).2)",
"2.L2(23)", "2.L2(23).2", "Isoclinic(2.L2(23).2)", "2.L2(25)",
"2.L2(25).2_1", "Isoclinic(2.L2(25).2_1)", "2.L2(25).2_2",
"Isoclinic(2.L2(25)x2)", "Isoclinic(L2(25).2_3x2)", "4.L2(25).2_3",
"2.L2(27)", "2.L2(27).2", "Isoclinic(2.L2(27).2)", "2.L2(27).3",
"2.L2(27).6", "Isoclinic(2.L2(27).6)", "2.L2(29)", "2.L2(29).2",
"Isoclinic(2.L2(29).2)", "2.L2(31)", "2.L2(31).2", "Isoclinic(2.L2(31).2)",
"J3M3", "L2(11)", "L2(11).2", "L2(121)M3", "M12.2M3", "U3(11)M4",
"U3(11)M5", "L2(13)", "L2(13).2", "L2(16)", "L2(16).2", "S4(4)M4",
"L2(16).4", "S4(4).2M5", "L2(17)", "L2(17).2", "L2(19)", "L2(19).2",
"L2(23)", "L2(23).2", "L2(25)", "L2(25).2^2", "L2(25).2_1", "L2(25).2_2",
"L2(25).2_3", "L2(27)", "L2(27).2", "L2(27).3", "L2(27).6", "L2(29)",
"L2(29).2", "L2(31)", "L2(31).2", "L2(32)", "L2(32).5", "L2(8)", "L2(8).3",
"A9M5", "ONM8",
# file ctoline2
"2.L2(49)", "2.L2(49).2_1", "Isoclinic(2.L2(49).2_1)", "2.L2(49).2_2",
"Isoclinic(2.L2(49)x2)", "Isoclinic(L2(49).2_3x2)", "4.L2(49).2_3",
"2.L2(81)", "2.L2(81).2_1", "2.L2(81).2_2", "Isoclinic(2.L2(81).2_2)",
"Isoclinic(2.L2(81)x2)", "Isoclinic(L2(81).2_3x2)", "4.L2(81).2_3",
"2.L2(81).4_1", "4.L2(81).4_2", "L2(49)", "L2(49).2_1", "L2(49).2_2",
"L2(49).2_3", "L2(49).2^2", "L2(81)", "L2(81).2_1", "L2(81).2_2",
"L2(81).2_3", "L2(81).2^2", "L2(81).4_1", "L2(81).4_2", "L2(81).(2x4)",
# file ctoline3
"12_1.L3(4)", "12_1.L3(4).2_1", "Isoclinic(12_1.L3(4).2_1)",
"12_1.L3(4).2_2", "Isoclinic(12_1.L3(4).2_2)", "12_1.L3(4).2_3",
"12_2.L3(4)", "12_2.L3(4).2_1", "Isoclinic(12_2.L3(4).2_1)",
"12_2.L3(4).2_2", "12_2.L3(4).2_3", "Isoclinic(12_2.L3(4).2_3)", "2.L3(4)",
"2.L3(4).2_1", "Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2",
"Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3", "Isoclinic(2.L3(4).2_3)",
"2.L3(4).(2^2)_{123}", "2.L3(4).(2^2)_{1*23}", "2.L3(4).(2^2)_{12*3}",
"2.L3(4).(2^2)_{123*}", "2.L3(4).(2^2)_{1*2*3}", "2.L3(4).(2^2)_{1*23*}",
"2.L3(4).(2^2)_{12*3*}", "2.L3(4).(2^2)_{1*2*3*}", "2^2.L3(4)",
"(2x4).L3(4)", "4^2.L3(4)", "(4^2x3).L3(4)", "3.L3(4)", "3.L3(4).2^2",
"3.L3(4).2_1", "3.L3(4).2_2", "3.L3(4).2_3", "3.L3(4).3",
"Isoclinic(3.L3(4).3,1)", "Isoclinic(3.L3(4).3,2)", "3.L3(4).6",
"Isoclinic(3.L3(4).6,1)", "Isoclinic(3.L3(4).6,2)", "4_1.L3(4)",
"4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2",
"Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", "4_1.L3(4).2_3*",
"4_1.L3(4).(2^2)_{123}", "4_1.L3(4).(2^2)_{1*23}",
"4_1.L3(4).(2^2)_{12*3}", "4_1.L3(4).(2^2)_{123*}",
"4_1.L3(4).(2^2)_{1*2*3}", "4_1.L3(4).(2^2)_{1*23*}",
"4_1.L3(4).(2^2)_{12*3*}", "4_1.L3(4).(2^2)_{1*2*3*}", "4_2.L3(4)",
"4_2.L3(4).2_1", "Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2",
"4_2.L3(4).2_2*", "4_2.L3(4).2_3", "Isoclinic(4_2.L3(4).2_3)",
"4_2.L3(4).(2^2)_{123}", "4_2.L3(4).(2^2)_{1*23}",
"4_2.L3(4).(2^2)_{12*3}", "4_2.L3(4).(2^2)_{123*}",
"4_2.L3(4).(2^2)_{1*2*3}", "4_2.L3(4).(2^2)_{1*23*}",
"4_2.L3(4).(2^2)_{12*3*}", "4_2.L3(4).(2^2)_{1*2*3*}", "6.L3(4)",
"6.L3(4).2_1", "Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2",
"Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", "Isoclinic(6.L3(4).2_3)",
"6.L3(4).(2^2)_{123}", "6.L3(4).(2^2)_{1*23}", "6.L3(4).(2^2)_{12*3}",
"6.L3(4).(2^2)_{123*}", "6.L3(4).(2^2)_{1*2*3}", "6.L3(4).(2^2)_{1*23*}",
"6.L3(4).(2^2)_{12*3*}", "6.L3(4).(2^2)_{1*2*3*}", "(2x12).L3(4)", "L3(4)",
"L3(4).2^2", "U4(3).(2^2)_{133}M6", "L3(4).2_1", "L3(4).2_2", "L3(4).2_3",
"L3(4).3", "L3(4).3.2_2", "L3(4).3.2_3", "L3(4).6", "L3(4).D12",
"(2^2x3).L3(4)", "(2^2x3).L3(4).2_1", "(2^2x3).L3(4).2_2",
"(2^2x3).L3(4).2_3", "(2^2x3).L3(4).3", "2^2.L3(4).2_1", "2^2.L3(4).2_2",
"2^2.L3(4).2_3", "2^2.L3(4).3", "2^2.L3(4).3.2_2", "2^2.L3(4).3.2_3",
"3.L3(4).3.2_2", "3.L3(4).3.2_3", "2^2.L3(4).2^2", "2^2.L3(4).6",
"2^2.L3(4).D12",
# file ctoline4
"2.L3(2)", "2.L3(2).2", "Isoclinic(2.L3(2).2)", "2F4(2)'M2", "3.L3(7)",
"3.L3(7).2", "3.L3(7).3", "Isoclinic(3.L3(7).3,1)",
"Isoclinic(3.L3(7).3,2)", "3.L3(7).S3", "L3(2)", "L3(2).2", "L3(3)",
"L3(3).2", "G2(3)M6", "L3(5)", "L3(5).2", "L3(7)", "L3(7).2", "L3(7).3",
"L3(7).S3", "L3(8)", "L3(8).2", "L3(8).3", "L3(8).6", "ONM2",
# file ctoline5
"2.L4(3)", "2.L4(3).2_1", "Isoclinic(2.L4(3).2_1)", "2.L4(3).2_2",
"Isoclinic(2.L4(3).2_2)", "2.L4(3).2_3", "Isoclinic(2.L4(3).2_3)", "L3(9)",
"L3(9).2_1", "L3(9).2_2", "L3(9).2_3", "L3(9).2^2", "L4(3)", "L4(3).2_1",
"L4(3).2_2", "L4(3).2_3", "L4(3).2^2", "L5(2)", "L5(2).2", "L6(2)",
"L6(2).2",
# file ctoline6
"L4(4)", "L4(4).2_1", "L4(4).2_2", "L4(4).2_3", "L4(4).2^2", "L7(2)",
"L7(2).2", "L5(3)", "L5(3).2",
# file ctoline7
"L2(37)", "L2(41)", "L2(43)", "L2(47)", "L2(53)", "L2(59)", "L2(61)",
"L2(64)", "L2(64).6", "L2(67)", "L2(71)", "L2(73)", "L2(79)", "L2(83)",
"L2(89)", "L2(97)", "L2(101)", "L2(103)", "L2(107)", "L2(109)", "L2(113)",
"L2(121)", "L2(125)",
# file ctoline8
"L4(5)", "2.L4(5)", "4.L4(5)", "L4(9)",
# file ctoline9
"L8(2)", "L3(11)",
# file ctomathi
"12.M22", "12.M22.2", "Isoclinic(12.M22.2)", "2.M12", "2.M12.2",
"Isoclinic(2.M12.2)", "2.M22", "2.M22.2", "Isoclinic(2.M22.2)", "3.M22",
"3.M22.2", "4.M22", "4.M22.2", "Isoclinic(4.M22.2)", "6.M22", "6.M22.2",
"Isoclinic(6.M22.2)", "HNM12", "HSM9", "M11", "M12", "M12.2", "M12M2",
"M22", "M22.2", "M23", "M24", "McLM3", "3.McLM3", "ONM11", "2.A12M8",
# file ctomax10
"3^7.O7(3):2", "2^(3+12).(L3(2)xA6)", "2^(6+8).(S3xA8)",
"3^2.3^4.3^8.(A5x2A4).2", "S3xO8+(3):S3", "3^(1+10):(2xU5(2):2)",
"2^2.U6(2):S3x2", "2^(1+12)_+.3_1.U4(3).2^2_{122}",
"3^3.[3^10].(L3(3)x2^2)", "3^2.3^4.3^8.(S5x2S4)", "S4xO8+(2):S3",
"2^(3+12).(L3(2)xS6)", "2^(7+8).(S3xA8)", "(S3xS3xG2(3)):2", "S5xS9",
"S6xL2(8):3", "7:6xS7", "7^(1+2)_+:(6xS3).2",
# file ctomax11
"13:3", "19:3", "31:3", "37:3", "43:3", "73:3", "91:3", "133:3", "31:5",
"109:54", "113:56", "D14", "D110", "D114", "D122", "D126", "S6x2", "S7x2",
"S8x2", "S9x2", "S10x2", "2.Fi22M13", "S11x2", "S5xS3", "S7xS3", "S8xS3",
"S9xS3", "S10xS3", "S4xS4", "S5xS4", "S6xS4", "S7xS4", "S8xS4", "S9xS4",
"S6xS5", "S7xS5", "S8xS5", "S7xS6", "(A10x3):2", "(A9xA4):2", "(A8xA5):2",
"(A7xA6):2", "D62x2", "S3xL2(8)", "5xA5", "3xL2(8)",
"5xIsoclinic(2.A6.2_2)", "3xU4(2)", "3^(1+2)+:2A4", "S3x3^(1+2)+:2A4",
"3x2S5", "7:3x3", "M10x2", "L2(8):3x2", "2^2xA6", "2^2.L3(4)M4",
"2^2.L3(4)M5", "2^2xL2(7)", "2^2.L3(4)M7", "2^2.L3(4)M8", "A4x7:3",
"7^2:24", "3^4:40",
# file ctomax12
"2^4:A5", "L3(4)M4", "L3(4)M5", "L3(4)M7", "L3(4)M8", "2xA6", "2.L3(4)M4",
"2.L3(4)M5", "2xL3(2)", "2.L3(4)M7", "2.L3(4)M8", "Isoclinic(2x3^2:Q8)",
"4_1.2^4:A5", "4_2.2^4:A5", "3x2^4:A5", "3.L3(4)M4", "3.L3(4)M5",
"3.L3(4)M7", "3.L3(4)M8", "3^(1+2)_+:Q8", "3x2^5.A5", "6xL3(2)",
"6.L3(4)M7", "6.L3(4)M8", "Isoclinic(2x3^(1+2)_+:Q8)", "3x4_1.2^4:A5",
"3x4_2.2^4:A5", "3^(1+4)_+.2S4", "2(A4xA4).2^2", "U4(3)M3", "U4(3)M9",
"U4(3)M12",
# file ctomax13
"2.A6M2", "3^2:8", "2.A6M5", "3xA5", "3.A6M2", "3xSymm(4)", "3.A6M5",
"3x2.A5", "6.A6M2", "3x2.Symm(4)", "6.A6M5", "2.A4x3", "(2.A4x3).2",
"3xL3(2)", "3xA5.2", "3.(A4x3):2", "3x2.L3(2)", "3xIsoclinic(2.A5.2)",
"(2.A5x3).2", "2.A6x3", "(2.A6x3).2_1", "2.A9M5", "2.(A5xA4).2",
"(2x3^3).S4", "3^2:2A4", "U3(8)M4", "U3(8)M5", "2x3^2:2A4", "A7x3",
"(A7x3).2", "2.A7x3", "(2.A7x3).2", "(A5xA5):4", "2.(A5xA5).4",
"(A6xA4).2", "2.(A6xA4).2", "A8x3", "(A8x3).2", "(2.A8x3).2", "(A7xA4):2",
"2.(A7xA4).2", "(A6xA5):2", "2.(A6xA5).2", "A9x3", "(A9x3):2", "2.A9x3",
"(2.A9x3).2", "7^(1+2).Sp(2,7)", "3xO8+(2)", "(3xO8+(2)):2", "3^(3+6):26",
"2x3^4:(2xA6)",
# file ctomax14
"[2^30].L5(2)",
# file ctomax15
"2^(9+16).S8(2)",
# file ctomax16
"[2^35].(S5xL3(2))",
# file ctomax17
"2^(2+10+20).(M22.2xS3)",
# file ctomax18
"3^(1+12):6.Suz.2", "3^12.6.Suz.2", "3^(1+12).2.Suz.2",
"3^(1+12).(2xU5(2).2)", "5^(1+6):2.J2.4", "(7:3xHe):2", "(A5xA12):2",
"5^(3+3).(2xL3(5))", "(A6xA6xA6).(2xS4)", "(A5xU3(8):3):2",
"5^(2+2+4):(S3xGL2(5))", "(L3(2)xS4(4):2).2", "(5^2:[2^4]xU3(5)).S3",
"(L2(11)xM12):2", "(A7x(A5xA5):2^2):2", "5^4:(3x2.L2(25)).2",
"7^(2+1+2):GL2(7)", "M11xA6.2^2", "(S5xS5xS5):S3", "(L2(11)xL2(11)):4",
"13^2:2.L2(13).4", "(7^2:(3x2A4)xL2(7)).2", "(13:6xL3(3)).2",
# file ctomax19
"3^3:L3(3)", "L4(3)M4", "3^4:2(A4xA4).2", "(4xA6):2", "(3x2S5).2",
"O8+(2)M2", "O8+(2)M3", "O8+(2)M5", "O8+(2)M6", "O8+(2)M8", "O8+(2)M9",
"(3xU4(2)):2", "O8+(2)M11", "O8+(2)M12", "2^(1+8)_+:(S3xS3xS3)",
"3^4:2^3.S4(a)", "2x2.S6(2)", "2^2.O8+(2)M2", "2^2.O8+(2)M3",
"(2x2^(1+6)_+).A8", "2^2.O8+(2)M5", "2^2.O8+(2)M6", "2x2.A9",
"2^2.O8+(2)M8", "2^2.O8+(2)M9", "2x(3x2.U4(2)):2", "2^2.O8+(2)M11",
"2^2.O8+(2)M12", "2^2.(2^(1+8)_+:(S3xS3xS3))", "(2^2x3^4).2^3.S4",
"(2x2.(A5xA5)):2^2", "2^2.O8+(2)M16", "2^2.O8+(2)M17", "(4^2x2)(2xS4)",
"(4^2x2)S4", "(4^2x3):S3", "(7:3x3):2", "(7xL2(7)):2", "(9x3).S3",
"(A5xA5):2^2", "S4(4).2M7", "O8+(2)M16", "O8+(2)M17", "2.O8+(2)M3",
"2.O8+(2)M6", "2xA9", "2.O8+(2)M9", "2x(3xU4(2)):2", "(3x2.U4(2)):2",
"2.O8+(2)M12", "2.2^(1+8)_+:(S3xS3xS3)", "(2x3^4:2^3).S4", "(A5xA5).(2x4)",
"2.(A5xA5).2^2", "2.O8+(2)M17", "(A8xA4):2", "(A7xA5):2", "(S3xS3xA5):2",
"2^{3+6}:(L3(2)x3)", "2^{1+8}_+:(S3xA5)", "10^2:S3", "11^(1+2)+:40",
"11^2:(5x2L2(11).2)", "11^2:60", "2(A4xA4).4.2", "2(A4xA4).4.2^2",
"2(L2(11)x2).2", "2(L2(7)x4).2", "2.(2.(A4xA4).2.2)", "2.(2^5:S6)",
"2x3^(1+2)_+:2S4", "2.(3^3:(S4x2))", "2.(S3xS6)", "2.(S6x2)",
"2.2^6.L3(2)", "D108", "D112", "2^(1+4)+.(S3xS3)", "2^(1+8)+:L2(8)",
"2^(2+4):(3xD10)", "2^(2+4):15", "2^(3+6):21", "2^2.(3^2:2A4)",
"2^2.(3^2:Q8)", "2^2.(3^2:Q8.2)", "7:3xS4", "D8xL3(2)",
"2^2.[2^6].(S3xS3)", "2^2.S6", "2^3.L3(2):2", "2^6:(3xA5)", "S4(4)M2",
"2^6:(3xA5):2", "S4(4).2M3", "2^6:(7xL2(8))", "2^6:3^3:S4", "2S5.2",
"3^(1+2)+.2S4", "3^(1+2)+:2S4", "3^(1+4)+.2^(1+4)-.S3", "3^(1+4)+.4S4",
"3^(2+4):80", "3^2.(3x3^(1+2)+):D8", "3^3:S4`", "3^4:(2xA6)", "3^4:2^3.S4",
"3^4:GL2(9)", "4(A4xA4).4", "5^(1+2)+:24", "5^(1+2)+:4A5", "5^(1+2)+:8",
"5^2:S3", "5^3:(2xA5).2", "5^3:62", "6^2:D12", "6^2:S3", "7^(1+2):48",
"7^2:2A4", "7^2:S3", "8^2:S3",
# file ctomax20
"2^(1+8)_+:U4(2)", "U6(2)M5", "U6(2)M6", "U6(2)M9", "U6(2)M10", "U6(2)M12",
"U6(2)M13", "3^(1+4).2^(1+1+2+2).S3", "2.2^(1+8)_+:U4(2)", "2.U6(2)M6",
"2.2^(4+8):(S3xA5)", "2.U6(2)M9", "2.U6(2)M10", "2xM22", "2.U6(2)M13",
"2xS3xU4(2)", "2.(3^(1+4).[2^7.3])", "3x2^(1+8)_+:U4(2)", "3.U6(2)M5",
"3.U6(2)M6", "3x2^(4+8):(S3xA5)", "3xS6(2)", "3.U6(2)M9", "3.U6(2)M10",
"3.U6(2)M12", "3.U6(2)M13", "3xS3xU4(2)", "3.(3^(1+4).[2^7.3])",
"3x2.2^(1+8)_+:U4(2)", "6.U6(2)M6", "3x2.2^(4+8):(S3xA5)", "6xS6(2)",
"6.U6(2)M9", "6.U6(2)M10", "2x3.M22", "6.U6(2)M13", "6xS3xU4(2)",
"6.(3^(1+4).[2^7.3])", "2^2xU5(2)", "2^2.2^(1+8)_+:U4(2)", "2^2.U6(2)M5",
"2^2.U6(2)M6", "2^2.2^(4+8):(S3xA5)", "2^2xS6(2)", "2^2.U6(2)M9",
"2^2.U6(2)M10", "2x2.M22", "2^2.U6(2)M12", "2^2.U6(2)M13", "2^2xS3xU4(2)",
"2^2x3xU5(2)", "3x2^2.2^(1+8)_+:U4(2)", "2x6_1.U4(3).2_2",
"(2^2x3).U6(2)M5", "(2^2x3).U6(2)M6", "3x2^2.2^(4+8):(S3xA5)",
"2^2x3xS6(2)", "(2^2x3).U6(2)M9", "(2^2x3).U6(2)M10", "2x6.M22",
"(2^2x3).U6(2)M12", "(2^2x3).U6(2)M13", "2^2x3xS3xU4(2)",
"(2^2x3).(3^(1+4).[2^7.3])",
# file ctomax21
"3^5:U4(2):2", "O7(3)M5", "3^(3+3):L3(3)", "3^(3+3)b:L3(3)", "O7(3)M8",
"O7(3)M11", "(2^2xU4(2)):2", "(A4x2(A4xA4).2).2", "(2x3^5).U4(2).2",
"2xG2(3)", "2.O7(3)M5", "2x3^(3+3):L3(3)", "2x3^(3+3)b:L3(3)", "2.O7(3)M8",
"2.O7(3)M9", "2.O7(3)M11", "2.(2^2xU4(2)).2", "2^(1+6)_+:A7", "2.(S6xS4)",
"2.(A4x2(A4xA4).2).2", "3.3^5:U4(2):2", "3xL4(3).2_2", "3.O7(3)M5",
"3.(3^(3+3):L3(3))", "3.O7(3)M8", "3.O7(3)M9", "3xS9", "3.O7(3)M11",
"3x(2^2xU4(2)):2", "2^6:3A7", "3xS6xS4", "3.(A4x2(A4xA4).2).2",
"6.(3^5:U4(2):2)", "3x2.L4(3).2_2", "2x3.G2(3)", "6.O7(3)M5",
"2x3.(3^(3+3):L3(3))", "3x2.S6(2)", "6.O7(3)M8", "6.O7(3)M9",
"3xIsoclinic(2.A9.2)", "6.O7(3)M11", "3x2.(2^2xU4(2)).2", "2^(1+6)_+:3A7",
"3x2.(S6xS4)", "6.(A4x2(A4xA4).2).2", "3^6:(L4(3)x2)", "L4(3)x2",
"3^6:2U4(3).2_1", "2^8:O8+(2):2", "2^8:O8-(2):2", "3xU3(3).2", "3.G2(3)M2",
"3.(3^(1+2)+x3^2):2S4", "3.G2(3)M4", "3.G2(3)M6", "3xL2(8).3",
"3x2^3.L3(2)", "3xL2(13)", "3.2^(1+4)+:3^2.2", "2.2^(4+6).(A5x3)",
"Isoclinic(2xU3(4).2)", "Isoclinic(2xU3(3).2)", "2.A5xA5", "U3(5)M2",
"U3(5)M3", "U3(5)M6", "U3(5)M7", "3.U3(5)M2", "3.U3(5)M3", "3x5^(1+2)_+:8",
"3.U3(5)M6", "3.U3(5)M7", "2.2^(3+3):7", "2x13:4", "2^2.2^(3+3):7",
"2^2x13:4", "2^2xD14", "L3(7)M2", "L3(7)M4", "L3(7)M5", "3x7^2:2.L2(7).2",
"3.L3(7)M2", "3xL3(2).2", "3.L3(7)M4", "3.L3(7)M5", "3x19:3",
"2.(A6xA6).2^2", "2.(A8xA4).2", "2.(A7xA5).2", "2.2^5.S6",
"2^(1+6)_-.3^3.S4", "2.3^4.2^3.S4", "2.(2^4:A5)", "2x3^(1+2)+:2A4",
"(2x3^3).S4`", "2.(2.(A4xA4).2)", "3xF4(2)", "3.2E6(2)M4", "3.2E6(2)M5",
"3.2E6(2)M8", "3.2E6(2)M9", "6xF4(2)", "3x2.F4(2)", "6.2E6(2)M5",
"6x2.F4(2)", "(2^2x3).2E6(2)M4", "(2^2x3).2E6(2)M5", "2x3.Fi22",
"6.2E6(2)M9", "2x6.Fi22", "(2^2x3).2E6(2)M8", "(2^2x3).2E6(2)M9",
# file ctomax22
"2.D12", "2.D14", "D16", "2.D16", "D18", "2.D18", "2.D20", "D22", "2.D22",
"2.D24", "D26", "2.D26", "D28", "2.D28", "D30", "2.D30", "D32", "2.D32",
"(2x29).14", "2x31:15", "3^3:13", "2x3^3:13", "5^2:12", "(2x5^2).12",
"L2(25)M3", "2.L2(25)M3", "2x23:11", "2x19:9", "(2x17).8", "(2x13).6",
"6.A6M3", "6.(A4x3).2", "127:7", "9:6", "2^2.[2^9]:(7xS3)",
"2^(1+8)_+:L2(8):3", "2^2.[2^9]:(7:3xS3)", "3^(1+2)_+.(2S4x3)",
"3^2:2A4x3", "2x(A4x3):2", "(2^4:S5x3).2", "2^3:L3(2)xS3", "(L2(11)x3).2",
"3^5:(M10x2)", "(3xL3(4).2_2).2", "M11xS3", "3.2^(2+4):(S3xS3)",
"3x2(A4xA4).2^2", "3xM22C2A", "3xJ1", "3xL2(31)", "3xONM8", "3xL3(7).2",
"3xONM2", "3x4^3.L3(2)", "3xD8", "3x5:8", "(3xL2(16):2).2",
# file ctomax23
"[2^20]:(S3xL3(2))", "2.F4(2)M5", "F4(2)M6", "2.F4(2)M6", "F4(2)M13",
"(L3(2)xL3(2)):2",
# file ctomax24
"2^(2+11+22).(M24xS3)",
# file ctomax25
"2^[39].(L3(2)x3.S6)",
# file ctomax26
"[2^20]:A6.2^2", "[2^22]:(S3xS3):2", "2F4(2)x2", "(S6wr2).2", "F4(2).2M8",
"(L3(2)xL3(2)).4",
# file ctomax27
"2^(5+10+20).(S3xL5(2))",
# file ctomaxi1
"2^4:s5", "2.M22M5", "2.S4", "23:11", "2^3:sl(3,2)", "2^4:(3xA5).2",
"2^4:a6", "2.M22M2", "3.M22M2", "4.M22M2", "6.M22M2", "12.M22M2",
"2^4:3.S6", "2^4:a7", "3.2^4:a7", "3.McLM10", "2xA7", "2x(3.A7)",
"2.(2xA7)", "2.(2x3.A7)", "3x2^4:s5", "4.M22M5", "3x2.M22M5", "3x4.M22M5",
"2x2^3:L3(2)", "2x2^3:L3(2)x2", "(2xA6).2^2", "3x2^3:L3(2)", "4.M22M6",
"6x2^3:L3(2)", "3x4.M22M6", "(4xA6).2_3", "6.M22M7", "12.M22M7",
"2xL2(11)", "2xL2(11).2", "3xL2(11)", "2.(2xL2(11))", "6xL2(11)",
"3x2.(2xL2(11))", "McLM10", "2^4:a8", "2^6:(psl(3,2)xs3)", "2^6:3.s6",
"2xS5", "3^2.2.S4", "4^2:D12", "4^2:D12.2", "A4xS3", "M12M7", "M22.2M4",
"M8.S4", "S4xS3", "2xM11", "2.HSM9", "2.M12M2", "2.A11M7", "2.M12M4",
"2x3^2.2.S4", "2.M12M7", "2.M12M8", "2.M12M9", "2.M12M10", "2.A4xS3",
# file ctomaxi2
"(2^2xSz(8)):3", "(3^2:4xa6).2", "(3^2:4x2.A6).2", "(3xG2(3)):2",
"(D10xU3(5)).2", "(a4xpsl(3,4)):2", "2.(A4xL3(4)).2", "(a6xa5).2",
"2.(2^2xSz(8)):3", "2.2.2^4+6:S5", "2xA8", "2.2^3+8:L3(2)", "2.2^4+6:S5",
"2.2^6:u3(3):2", "2.RuM1", "2^(1+8).(A5xA5).2", "2^1+6.psl(3,2)",
"2^1+6.u4q2", "2.SuzM4", "2^1+8.a9", "2^1+8.2.A9", "2^2+8(a5xs3)",
"2.SuzM9", "(2xL3(3)).2", "2^2.psl(3,4).s3", "2^3+8:L3(2)",
"2^3.2^2.2^6.(3xL3(2))", "2^4+6:3a6", "2.SuzM7", "2^4.s6", "U4(3).2_1M10",
"2^5.S6", "2.2^4.S6", "2^4.(S4x2)", "2^5.psl(5,2)", "2^6.U4(2)",
"2^6.U4(2).2", "2^6:u3(3):2", "2xa6.2^2", "U4(3).(2^2)_{133}M11",
"U4(3).(2^2)_{133}M12", "(2xA6.2^2).2", "2.HSM11", "3.3^(1+4):2S5",
"3.3^(1+4):4S5", "2^(1+3):L3(2)", "2^(2+4):(3x3):2", "3.2^(2+4):(3x3):2",
"2^(1+1+2+2):S3", "2^(2+4).S3", "2^(2+4).(S3x2)", "3.ONM5", "31:15",
"31:30", "37:18", "47:23", "3^(1+4):2S5", "3^(1+4):4A5", "3^(1+4):4S5",
"3^(1+6):2^(3+4):3^2:2", "3^(1+6)_+:2^(3+4):(S3xS3)", "3^(2+4):2A5.D8",
"3^2+4:2(2^2xa4)2", "3^4:2(A4xA4).4", "3^4:m10", "3^5:M10", "3^4.3^2.Q8",
"3.3^4.3^2.Q8", "3xL3(4).2_2", "3x2.A8", "3xM11", "3xONM11",
"3x5^(1+2):3:8", "3^5:2S6", "3^5:M11", "3^6.M11", "3x2.SuzM4", "2x3^6.M11",
"3x2.J2.2", "3x2.SuzM7", "3x2.SuzM9", "3xIsoclinic(2.M12.2)", "4.2^4.S5",
"2^(1+6)_+:S5", "2.HSM10", "4.2^4:(2xS3)", "4.2^4", "S4x2^2", "4.2^4:S4",
"J1x2", "7^(1+2)_+:(3xD16)", "4^3.L3(2)", "(3^2:4xA6).2^2",
"4^3.(L3(2)x2)", "4^3:psl(3,2)", "4^3:(L3(2)x2)", "2.4^3.L3(2)", "4^3:S4",
"5:4xa5", "5:4xS5", "5:4x2.A5", "5:4xA4", "5:4x2^2", "A4xC4", "D8xV4",
"5^(1+4):2^(1+4).5.4", "5^(1+4):4S6", "5^2.5.5^2.4A5", "5^2:4s5",
"2xU3(5).2", "L2(25).(2x4)", "2x5^2:4S5", "3.A6.(2x4)",
"Isoclinic(L2(13).2x2)", "5^3.psl(3,5)", "67:22", "7:3xpsl(3,2)",
"7^2:(3x2S4)", "7^2:2psl(2,7)", "LyM6", "ONM5", "ThM7", "ThN3B",
"s4xpsl(3,2)", "2^(1+6)_+.L3(2).2", "S4xL3(2).2", "7:6xL3(2)",
"2^(1+6)_-.U4(2).2", "3^5:(M11x2)", "J2.2x2", "2^(4+6):3S6",
"(A4xL3(4):2_3):2", "2^(2+8):(S5xS3)", "M12.2x2", "3^(2+4):2(S4xD8)",
"(A6:2_2xA5).2", "(3^2:8xA6).2", "3xG2(4)", "3x2.G2(4)", "2xU5(2)",
"3xU5(2)", "3x2^(1+6)_-.U4(2)", "3xJ2.2", "3x2^(4+6).3A6",
"(A4x3.L3(4)).2", "3x2^(2+8):(A5xS3)", "3xM12.2", "3.3^(2+4):2(A4x2^2).2",
"(3.A6xA5):2", "(3^(1+2):4xA6).2", "3xL3(3).2", "3xL2(25)", "(3xG2(4)).2",
"(3xU5(2)).2", "(3x2^(1+6)_-.U4(2)).2", "3^6:(M11x2)", "S3xJ2.2",
"(3x2^(4+6):3A6).2", "(A4x3.L3(4).2_3).2", "(3x2^(2+8):(A5xS3)).2",
"S3xM12.2", "3.3^(2+4):2(S4xD8)", "(3.A6.2_2xA5):2", "(3^(1+2):8xA6).2",
"(3xL2(25)).2_2", "3^4:(M10x2)", "2x3^5:M11", "2.SuzM11", "6.SuzM8",
"6.SuzM11", "3x(2xL3(3)).2", "3x2.L2(25)", "(3^(1+2):4x2.A6).2",
"(A6x2.A5).2", "(3.A6x2.A5).2", "2xU5(2).2", "Isoclinic(S8x2)",
"Isoclinic(U3(5).2x2)", "2.HSM3", "2^(1+8)_+.(A5xA5).2^2", "5:4xU3(5):2",
"5^(1+4)_+:(4Y2^(1+4)_-.5.4)", "(S6xS6).2^2", "2^3.2^2.2^6.(S3xL3(2))",
"5^2.5.5^2.4S5", "3^4:2(S4xS4).2", "HN.2M13",
# file ctomaxi3
"(A4xG2(4)):2", "(A5xJ2):2", "(A6xU3(3)):2", "(A7xL2(7)):2",
"(D10x(A5xA5).2).2", "2.2^11:M24", "2^(1+8)+.O8+(2)", "2^(2+12):(A8xS3)",
"2^(4+10)(S5xS3)", "2^(4+12).(S3x3S6)", "2^1+4+6.a8", "2^1+8:s6f2",
"2^10:m22:2", "2^11:M24", "2^2.[2^7*3^2].S3", "2^4.a8", "2xm12",
"3^(3+4):2(S4xS4)", "3^1+4:2^1+4.s5", "3^1+4:4s6", "3^5:(2xm11)",
"3^6:2M12", "5^(1+2):GL2(5)", "5^2:2A5", "5^3:(4xS5)", "A9xS3", "a4xs5",
"s3xpsl(2,8).3", "2xCo2", "2xCo3", "2xU6(2).3.2", "2x3^6:2.M12", "2.A9xS3",
"2x5^2:2A5",
# file ctomaxi4
"(2^2x2^(1+8)).(3xU4(2)).2", "(3xO8+(3):3):2", "(A4xO8+(2).3).2",
"(A5xA9):2", "29:14", "2^(5+8):(S3xA6)", "2^(1+5+8).(S3xA6)", "2x2F4(2)'",
"2^(6+8):(A7xS3)", "2x3.O7(3)", "6.Fi22M3", "2xO7(3)", "2.Fi22M3",
"3^(1+8).2^(1+6).3^(1+2).2S4", "7:6xA7", "A6xL2(8):3", "Fi23M8",
"S3xO7(3)", "S3xU4(3).(2^2)_{122}", "2xS3xU4(3).(2^2)_{122}",
"S3x2.U4(3).2_2", "2xS3x2.U4(3).2_2", "S3xU4(3).2_2", "2xS3xU4(3).2_2",
"S4xS6(2)", "O8+(2):S3x2", "3xO8+(2):S3", "6xO8+(2):S3", "2x2.U4(3).2_2",
"2^2.U4(3).(2^2)_{122}", "2xU4(3).(2^2)_{122}", "3x2.U4(3).(2^2)_{122}",
"(S3x2.U4(3).2_2).2", "(2x2^(1+8)):U4(2):2", "(2x2^(1+8)):(U4(2):2x2)",
"2.(2x2^(1+8)):U4(2):2", "3x(2x2^(1+8)):U4(2):2", "3xA10.2", "3xM12",
"3.(2x2^(1+8)):(U4(2):2x2)", "3x2F4(2)'", "Fi22.2M4",
"2.(3^(1+6):2^(3+4):3^2:2)", "2^12.3_1.U4(3).2_2'",
"2^(1+12).3_1.U4(3).2_2'", "2^12.3^2.U4(3).2_2'", "3.2^(1+12).3U4(3).2",
"3^3.[3^10].GL3(3)", "2^12.M24", "3xFi23", "2^(5+8):(S3xS6)",
"3^5:(2xU4(2).2)",
# file ctomaxi5
"2.[2^6]:(S3xS3)", "2^5:S6", "2^6:L3(2)", "S3xS6", "(2^6x2^8):S6(2)",
"(2^(1+8)x2^6):S6(2)", "2.F4(2)M1", "F4(2)M2", "2.F4(2)M2", "3^6:L3(3)",
"3^(3+4):2(S4xA4)", "A4xU4(2)", "2.(A4xU4(2))", "2^(2+6):3^3:S3",
"2xU3(3).2",
# file ctomaxi6
"(2x3.A6).2", "(2xL3(2)).2", "(3xM10):2", "11:10", "13:6", "19:18", "19:6",
"2.J2M8", "2A4xA5", "2A5xD10", "(2.A5xD10).2", "2^(1+4).S5",
"2^(2+4):(S3xS3)", "2^1+4b:a5", "2^2+4.3xs3", "2^{1+4}_-:2A5",
"2^{3+4}:(3xS3)", "2xA5", "2xU3(3)", "37:12", "3^2.3^(1+2):8.2",
"3x2^4:(3xA5)", "3xL2(16).2", "3xL2(19)", "3xL2(17)", "43:14", "5^2:D12",
"7:6", "D6xD10", "(2^2xA5):2", "2^3.(S4x2)", "F3+M7", "J4M4", "L2(17)x2",
"a4xa5", "a5xd10", "D10xA5", "c2aj4", "frob", "j3m4", "j3m6", "2^10:L5(2)",
"O10+(2)M4", "(3xO8-(2)):2", "(A5xU4(2)):2", "mx1j4", "(A4xA5):2",
"(A5xD10).2", "(D10xA5).2", "O8+(2)N5C", "(A5xA5):2", "(2.A5xA5):2",
"L3(2).2x2",
# file ctomaxi7
"3^5.U4(2)", "3.3^5.U4(2)", "C9Y3.3^5.U4(2)", "2^24.Co1", "2^1+24.Co1",
"2^1+24.2.Co1", "2xF4(2)", "2^2xF4(2)", "2xF4(2).2", "(2^2xF4(2)):2",
"2x2.F4(2)", "2^2.2E6(2)M4", "2^2.2E6(2)M5", "2.2E6(2)M5", "2E6(2)M4",
"2E6(2)M5", "S3xFi22.2", "2xFi22", "2xFi22.2", "2x2.Fi22", "2^2.2E6(2)M8",
"2^2.2E6(2)M9", "2.2E6(2)M9", "2E6(2)M8", "2E6(2)M9", "(L3(2)xL3(4)).2",
"(L3(2)xL3(4).2_2).2", "2E6(2)N3C", "2E6(2).2N3C", "2^2.Fi22.2",
"3x2.Fi22.2", "(S3x2.Fi22).2", "2xFi23", "2xTh", "S3xTh",
"(3^2:D8xU4(3).2^2).2", "2x47:23", "59:29", "41:40", "L3(3)xD8",
"5:4xHS.2", "S4x2F4(2)'.2", "A5.2xM22.2", "5^2:4S4xS5",
"3^(3+6):(L3(3)xD8)", "3^6.L4(3).D8", "2^2.(U3(3).2xS4)",
"3^(1+8).2^(1+6).U4(2).2", "3^2.3^3.3^6.(S4x2S4)", "(S6xL3(4).2).2",
"5^(1+4).2^(1+4).A5.4", "(S6xS6).4", "(D10xHN).2", "7^(1+4):(3x2.S7)",
"2^(10+16).O10+(2)", "3^8.O8-(3).2_3", "(3^2:2xO8+(3)).S4",
"(2xO8+(3)).S4", "3^(2+5+10).(M11x2S4)", "3^(3+2+6+6):(L3(3)xSD16)",
# file ctomaxi8
"(3^(1+2)+x3^2):2S4", "G2(3)M4", "2^(1+4)+:3^2.2", "A5xA5", "2.(A5xA5).2",
"2^(5+5):31", "41:4", "25:4", "D62", "D24", "D20", "S3xU4(2)",
"2xU4(3).2_2", "2x3_1.U4(3).2_2",
# file ctomaxi9
"O8+(3)M14", "(A4xU4(2)):2", "O8+(3)M19", "O8+(3)M20", "O8+(3)M21",
"O8+(3)M22", "O8+(3)M23", "(A6xA6):2^2", "O8+(3)M25", "O8+(3)M26",
"(A4wr2^2):2", "O8+(3)M27", "2^8.A9",
# file ctomisc1
"2..11.m23", "2.2^8.f20", "2^10:(2^5:s5)", "2^2.2^8:s3", "2.[2^9]:5:4",
"2^2.[2^9]:S3", "2^6:u3(3)", "2^{1+6}:3^{1+2}:2A4", "2^(4+4):(3xA5)",
"3^4:S5", "3.s7x2", "4.s4", "4^2:s3", "A11Syl2", "a4", "2.L2(3)", "a5wc2",
"S4(4)M6", "affine", "b33141", "bd10", "bd6", "bd8", "M22C2A", "M24C2B",
"c3d2", "D120", "esp43t", "j2nd2",
# file ctomisc2
"2^10:m22", "2.Fi22M5", "3.Fi22M5", "6.Fi22M5", "2^6:s6f2", "f22s2", "g61",
"g61s1", "g72x16", "ghh", "gl25", "group2", "group3", "group5", "group6",
"gs4", "h4", "hed3", "hess", "hsd2", "m12d2", "mo61", "2^4:(S3xS3)",
"mo62", "mo62p", "mo81", "2^6:A8", "2^(1+6)_+.A8", "ons1", "S3xU4(3)",
# file ctomisc3
"P1L62", "2^6:L6(2)", "P1L82", "P2L62", "2^10:(L5(2)xS3)", "P3L62",
"2^12:(L4(2)xL3(2))",
# file ctomisc4
"P2L82",
# file ctomisc6
"L3(4)Syl2", "M23C2A", "U72CT", "pap", "V4", "Q8", "M24C2A", "s2wrs2",
"s2wrs3", "s2wrs4", "s2wrs5", "s3wrs2", "s3wrs3", "s4", "A6M5", "s4wrs2",
"s5wrs2", "S4wrS3", "S3wrS4", "2^6:S6", "A8.2N2", "s61p", "sl25ex",
"D8x3^2:Q8", "suzd2", "suzdx", "suzs2", "twd5a", "w(d4)", "w(d5)", "w(f4)",
# file ctomisc7
"2^4:3^2:4", "2^6:3^(1+2).D8", "3^(1+4):4S4", "2^(4+4).(S3xS3).2",
"2.2^(2+2).2^(1+1+2+2):S4", "2^(2+1+2).2^(1+1+2).2^2.S4",
"2^(4+10).(S4xS3)", "5^(1+4):4.3^2:D8", "2^11.2^6.3^(1+2).D8",
"2^(4+12).(S3x3^(1+2)_+:D8)", "3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4",
"3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)",
# file ctomisc8
"2^12:Sz(8)", "2^10:M22'", "2^12:J2",
# file ctomonst
"2.B", "B", "M",
# file ctonews
"(3^2:2xG2(3)).2", "(3xA6).2_1", "(A6xA6).D8", "2.(A4xA4)",
"2.2^(2+8).(3xA5)", "2F4(8)", "2^(1+6)_-3.3.3^2:2", "2^(2+8):(3xA5)",
"2^(4+6):(A5x3)", "2^(4+8):(S3xA5)", "2^5:L5(2)", "2^6:U4(2)",
"2^8:O8-(2)", "2^9.L3(4)", "2.U6(2)M3", "3.U6(2)M3", "6.U6(2)M3",
"2^2.U6(2)M3", "(2^2x3).U6(2)M3", "2xS6(2)", "3.ONM6", "3^(1+4).2U4(2)",
"3^(1+4).2U4(2).2", "3^3.S4", "3^3:A4", "3^4.2U4(2)", "3^4.2U4(2).2",
"3^4:(2xA5)", "3^4:A6", "2x3^4:A6", "3^4:2.A6", "2.(2x3^4:A6)",
"4.3^(1+4)_+.2S4", "3^2.(3^4:A6)", "3^2.(3^(1+4)_+.2S4)", "3^6:L4(3)",
"O8+(3)M8", "O8+(3)M9", "3^7.O7(3)", "5^(1+4):GL(2,5)", "6xU5(2)",
"7^2:2.L2(7).2", "(7^2)b:2.L2(7).2", "A6.D8", "D8xL4(3).2_2", "M22.2M3",
"O7(3).2x2", "O8-(3).2_1M4", "S4xU4(2).2", "O8-(3)M8", "2^6:U4(2).2",
"(S3xS3):2xS5", "2^3.L3(2)", "S8(2)M3", "2^10.A8", "(S6xS6):2",
"2^(3+8):(S3xS6)", "S3xS6(2)", "2xS3xS6(2)", "2^(6+6):(S3xL3(2))",
"2^8:S6(2)", "2^6:S8", "2^(1+4).S3", "2x3.A6", "7^1+2.6", "M12C4",
"1/2(8xS3)", "(2^2x3).2", "4.2^2", "(4xA6).2^2", "5^1+2.2A4", "13^1+2.2A4",
"7^1+4.2A7", "7xL2(8)", "(7xL2(8)).3", "O7(3)N3A", "2^6:A7", "2^8:S8",
"2^(1+8):S8", "2^6:S5", "L3(2)wr2",
# file ctoort10
"O10+(3)",
# file ctoorth1
"2.O7(3)", "2.O7(3).2", "Isoclinic(2.O7(3).2)", "3.O7(3)", "3.Fi22M3",
"3.O7(3).2", "6.O7(3)", "6.O7(3).2", "Isoclinic(6.O7(3).2)", "Fi22M3",
"O7(3)", "O8+(3)M2", "O8+(3)M3", "O8+(3)M4", "O8+(3)M5", "O8+(3)M6",
"O7(3).2", "O8-(3)M3",
# file ctoorth2
"2.O8+(2)", "2.O8+(2).2", "Isoclinic(2.O8+(2).2)", "2^2.O8+(2)",
"2^2.O8+(2).2", "2^2.O8+(2).3", "2^2.O8+(2).3.2", "O8+(2)", "O8+(3)M11",
"O8+(3)M12", "O8+(3)M13", "O8+(2).2", "O8+(2).3", "O8+(2).3.2", "F4(2)M8",
"O8+(3)", "O8+(3).2_1", "O8+(3).2_1'", "O8+(3).2_1''", "O8+(3).2_2",
"O8+(3).2_2'", "O8+(3).3", "O8+(3).3.2", "O8+(3).4", "O8+(3).(2^2)_{111}",
"O8+(3).(2^2)_{122}", "O8+(3).D8", "O8+(3).A4", "O8+(3).S4", "2.O8+(3)",
"2^2.O8+(3)", "2^2.O8+(3).3",
# file ctoorth3
"O10+(2)", "O10+(2).2", "O10-(2)", "O10-(2).2", "O8-(2)", "O8-(2).2",
"O8-(3)", "2.O8-(3)", "O8-(3).2_1", "O8-(3).2_2", "O8-(3).2_3",
"O8-(3).2^2",
# file ctoorth4
"O12-(2)", "O12-(2).2",
# file ctoorth5
"O12+(2)", "O12+(2).2",
# file ctoorth6
"O7(5)", "O7(5).2", "O9(3)", "2.O9(3)",
# file ctoorth7
"O10-(3)", "2.O10-(3)",
# file ctoorth8
"O8+(7)", "2.O8+(7)",
# file ctoorth9
"O12+(3)", "2_1.O12+(3)", "O12-(3)",
# file ctospora
"2.HS", "2.HS.2", "Isoclinic(2.HS.2)", "HS.2x2", "Isoclinic(2.HSx2)",
"4.HS.2", "2.Ru", "2.Suz", "2.Suz.2", "Isoclinic(2.Suz.2)", "3.McL",
"3.McL.2", "3.ON", "3.ON.2", "3.Suz", "3.Suz.2", "6.Suz", "6.Suz.2",
"Isoclinic(6.Suz.2)", "F3+M14", "HN", "HN.2", "HS", "HS.2", "He", "He.2",
"Ly", "McL", "McL.2", "ON", "ON.2", "Ru", "Suz", "Suz.2", "Th",
# file ctosylno
"(3^(1+2)x2).SD16", "(2x3^(1+2)_+:8):2", "11+^(1+2):(5x2S4)", "2.HS.2N5",
"2^3.7.3", "2^4:D8", "2x(3^2.QD16)", "3^(1+2):8", "3^(1+2):D8",
"3^(1+2):SD16", "3^2.3^(1+2):8", "3^2:Q8", "3^2:Q8.2", "3^4:(3^2:Q8)",
"3^4:2^(1+4)D10", "3^4:2^(1+4).(5:4)", "3^5:(3^2:SD16)", "4^3.D8",
"5^(1+2):(24:2)", "5^(1+2):(8.2)", "5^(1+2):3:8", "5^(1+2):4S4",
"5^1+2:(2^5)", "5^2:(4xS3)", "5^2:4A4", "7^(1+2):(D8x3)", "7^(1+2):(S3x3)",
"7^(1+2):(S3x6)", "7^2:(3x2A4)", "Co1N3", "Co3N2", "Co3N3", "Fi22N3",
"Fi22N5", "HS.2N5", "HSN2", "J2N2", "J3N2", "LyN2", "LyN3", "LyN5",
"M11N2", "M12N2", "M12N3", "M24N2", "McLN2", "RuN2", "(2^2xD14):3",
"(2^2x13:4):3", "SuzN2", "ThN2", "ThN3", "2.HSN3", "5:4", "2x5:4", "5:4x3",
"6x5:4", "11:5", "2x11:5", "17:8", "17:16", "19:9", "(3xD10).2", "7:3xS3",
"S3x7:6", "(A4xD10).2", "Co2N2", "3^(1+4)_+:(S3xQD16)", "Co2N7", "Co1N5",
"F3+N5", "S4x5^2:4S4", "BN7", "11^2:(5x2.A5)", "13^(1+2):(3x4S4)", "13:4",
"13:12", "2^(3+3):7", "2^(3+3):7:3", "7:6xA5.2", "HNN2", "[7^6]:(6x6)",
"(3x13:6).2", "Fi23N3",
# file ctosymp1
"2.S4(5)", "2.S4(5).2", "Isoclinic(2.S4(5).2)", "2.S6(2)", "2.S6(3)",
"2.S6(3).2", "Isoclinic(2.S6(3).2)", "S10(2)", "S4(4)", "S4(4).2",
"S4(4).4", "S4(5)", "S4(5).2", "S6(2)", "S6(3)", "S6(3).2", "S8(2)",
"F4(2)M4",
# file ctosymp2
"S4(7)", "S4(8)", "S4(8).3", "S4(7).2", "S4(9)", "S4(9).2_1", "S4(9).2_2",
"S4(9).2_3", "S4(9).2^2", "S6(4)", "S6(4).2", "S6(5)", "S8(3)",
# file ctosymp3
"S12(2)",
# file ctotwis1
"2F4(2)'", "2F4(2)'.2", "3D4(2)", "3D4(2).3", "F4(2)M10", "3D4(3)",
"3D4(4)",
# file ctotwis2
"2.2E6(2)", "2.2E6(2).2", "2^2.2E6(2)", "2^2.2E6(2).2", "2^2.2E6(2).3",
"2^2.2E6(2).3.2", "2E6(2)", "2E6(2).2", "2E6(2).3", "2E6(2).3.2",
"3.2E6(2)", "3.2E6(2).2", "6.2E6(2)", "6.2E6(2).2", "(2^2x3).2E6(2)",
"(2^2x3).2E6(2).2",
# file ctounit1
"12_1.U4(3)", "12_1.U4(3).2_1", "12_1.U4(3).2_2",
"Isoclinic(12_1.U4(3).2_2)", "12_1.U4(3).2_2'",
"Isoclinic(12_1.U4(3).2_2')", "12_2.U4(3)", "12_2.U4(3).2_1",
"12_2.U4(3).2_3", "Isoclinic(12_2.U4(3).2_3)", "12_2.U4(3).2_3'",
"Isoclinic(12_2.U4(3).2_3')", "2.U4(3)", "2.U4(3).2_1",
"Isoclinic(2.U4(3).2_1)", "2.U4(3).2_2", "Isoclinic(2.U4(3).2_2)",
"2.U4(3).2_2'", "Isoclinic(2.U4(3).2_2')", "2.U4(3).2_3",
"Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", "Isoclinic(2.U4(3).2_3')",
"2.U4(3).4", "2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{1*22}",
"2.U4(3).(2^2)_{12*2}", "2.U4(3).(2^2)_{1*2*2}", "2.U4(3).(2^2)_{12*2*}",
"2.U4(3).(2^2)_{1*2*2*}", "2.U4(3).(2^2)_{133}", "2.U4(3).(2^2)_{1*33}",
"2.U4(3).(2^2)_{13*3}", "2.U4(3).(2^2)_{1*3*3}", "2.U4(3).(2^2)_{13*3*}",
"2.U4(3).(2^2)_{1*3*3*}", "2.U4(3).D8", "O8+(3)M16", "O8+(3)M17",
"3^2.U4(3)", "3^2.U4(3).2_3'", "3^2.U4(3).(2^2)_{133}", "3^2.U4(3).D8",
"3_1.U4(3)", "3_1.U4(3).2_1", "3_1.U4(3).2_2", "3_1.U4(3).2_2'",
"3_1.U4(3).(2^2)_{122}", "3_2.U4(3)", "3_2.U4(3).2_1", "3_2.U4(3).2_3",
"3_2.U4(3).2_3'", "3_2.U4(3).(2^2)_{133}", "4.U4(3)", "4.U4(3).2_1",
"4.U4(3).2_2", "Isoclinic(4.U4(3).2_2)", "4.U4(3).2_3",
"Isoclinic(4.U4(3).2_3)", "4.U4(3).4", "6_1.U4(3)", "6_1.U4(3).2_1",
"Isoclinic(6_1.U4(3).2_1)", "6_1.U4(3).2_2", "Isoclinic(6_1.U4(3).2_2)",
"6_1.U4(3).2_2'", "Isoclinic(6_1.U4(3).2_2')", "6_2.U4(3)",
"6_2.U4(3).2_1", "Isoclinic(6_2.U4(3).2_1)", "6_2.U4(3).2_3",
"Isoclinic(6_2.U4(3).2_3)", "6_2.U4(3).2_3'", "Isoclinic(6_2.U4(3).2_3')",
"U4(3)", "U4(3).(2^2)_{122}", "U4(3).(2^2)_{133}", "U4(3).2_1",
"U4(3).2_2", "U4(3).2_2'", "U4(3).2_3", "U4(3).2_3'", "U4(3).4",
"U4(3).D8", "(3^2x2).U4(3)", "(3^2x4).U4(3)", "(3^2x2).U4(3).2_3'",
"Isoclinic((3^2x2).U4(3).2_3')",
# file ctounit2
"3.U3(5)", "3.U3(5).2", "3.U3(5).3", "Isoclinic(3.U3(5).3,1)",
"Isoclinic(3.U3(5).3,2)", "3.U3(5).S3", "3.U3(8)", "3.U3(8).2",
"3.U3(8).3_1", "3.U3(8).3_2", "Isoclinic(3.U3(8).3_2,1)",
"Isoclinic(3.U3(8).3_2,2)", "3.U3(8).6", "3.U3(8).S3",
"Isoclinic(3.U3(8)x3)", "Isoclinic(U3(8).3_3x3)", "9.U3(8).3_3", "HSM3",
"U3(3)", "U3(3).2", "G2(3)M2", "U3(4)", "U3(4).2", "U3(4).4", "U3(5)",
"U3(5).2", "U3(5).3", "U3(5).3.2", "U3(7)", "U3(7).2", "U3(8)", "U3(8).2",
"U3(8).3_1", "U3(8).3_2", "U3(8).3_3", "U3(8).6", "U3(8).S3", "U3(8).3^2",
"U3(8).(S3x3)", "U3(9)", "U3(9).2", "U3(9).4",
# file ctounit3
"2.U4(2)", "2.U4(2).2", "Isoclinic(2.U4(2).2)", "3.U3(11)", "3.U3(11).2",
"3.U3(11).3", "Isoclinic(3.U3(11).3,1)", "Isoclinic(3.U3(11).3,2)",
"3.U3(11).S3", "U3(11)", "U3(11).2", "U3(11).3", "U3(11).S3", "U4(2)",
"U4(2).2", "U4(3).2_1M4", "U5(2)", "U5(2).2",
# file ctounit4
"2.U6(2)", "2.U6(2).2", "Isoclinic(2.U6(2).2)", "2^2.U6(2)", "2^2.U6(2).2",
"2^2.U6(2).3", "2^2.U6(2).3.2", "3.U6(2)", "3.U6(2).2", "3.U6(2).3",
"Isoclinic(3.U6(2).3,1)", "Isoclinic(3.U6(2).3,2)", "6.U6(2)", "6.U6(2).2",
"Isoclinic(6.U6(2).2)", "U6(2)", "U6(2).2", "U6(2).3", "U6(2).3.2",
"3.U6(2).3.2", "(2^2x3).U6(2)", "(2^2x3).U6(2).2", "(2^2x3).U6(2).3",
# file ctounit5
"U4(4)", "U4(4).4", "U4(5)", "U4(5).2_1", "U4(5).2_2", "U4(5).2_3",
"U4(5).2^2", "U5(4)", "U5(4).2", "U5(3)",
# file ctounit6
"U7(2)",
# file ctounit7
"U6(4)",];
MakeImmutable( LIBLIST.firstnames );
LIBLIST.files := [
92, 27, 7, 15, 382, 2, 10, 5, 84, 35, 73, 29, 115, 26, 21, 9, 23, 4, 2, 31,
18, 63, 32, 52, 1, 1, 1, 1, 23, 120, 64, 113, 58, 6, 1, 1, 6, 1, 64, 187,
34, 52, 15, 53, 60, 14, 13, 29, 30, 7, 1, 31, 12, 3, 3, 81, 1, 18, 32, 12,
2, 2, 4, 2, 2, 3, 35, 84, 18, 13, 1, 7, 16, 88, 42, 18, 23, 10, 1, 1, ];
LIBLIST.filenames := Concatenation( List( [ 1 .. Length( LIBLIST.files ) ],
i -> ListWithIdenticalEntries( LIBLIST.files[i], i ) ) );
MakeImmutable( LIBLIST.filenames );
LIBLIST.files := [
"ctoalter", "ctoatres", "ctocliff", "ctoconja", "ctodefno", "ctoexce1",
"ctofisc1", "ctofisc2", "ctoholpl", "ctoinert", "ctoline1", "ctoline2",
"ctoline3", "ctoline4", "ctoline5", "ctoline6", "ctoline7", "ctoline8",
"ctoline9", "ctomathi", "ctomax10", "ctomax11", "ctomax12", "ctomax13",
"ctomax14", "ctomax15", "ctomax16", "ctomax17", "ctomax18", "ctomax19",
"ctomax20", "ctomax21", "ctomax22", "ctomax23", "ctomax24", "ctomax25",
"ctomax26", "ctomax27", "ctomaxi1", "ctomaxi2", "ctomaxi3", "ctomaxi4",
"ctomaxi5", "ctomaxi6", "ctomaxi7", "ctomaxi8", "ctomaxi9", "ctomisc1",
"ctomisc2", "ctomisc3", "ctomisc4", "ctomisc6", "ctomisc7", "ctomisc8",
"ctomonst", "ctonews", "ctoort10", "ctoorth1", "ctoorth2", "ctoorth3",
"ctoorth4", "ctoorth5", "ctoorth6", "ctoorth7", "ctoorth8", "ctoorth9",
"ctospora", "ctosylno", "ctosymp1", "ctosymp2", "ctosymp3", "ctotwis1",
"ctotwis2", "ctounit1", "ctounit2", "ctounit3", "ctounit4", "ctounit5",
"ctounit6", "ctounit7", ];
MakeImmutable( LIBLIST.files );
LIBLIST.fusionsource := [
[ # fusions to (2xA6).2_3
"4.A6.2_3", "(4xA6).2_3", "6.M22M7", ],
[ # fusions to 2.A10
"Isoclinic(2.A8.2)", "2.A9", "M10x2", "(2.A7x3).2", "2.(A5xA5).4",
"2.(A6xA4).2", "2^(1+4).S5", ],
[ # fusions to 2.A10.2
"2.A10", ],
[ # fusions to Isoclinic(2.A10.2)
],
[ # fusions to 2.A11
"2.A10", "Isoclinic(2.A9.2)", "2.(S4xS5)", "(2.A8x3).2", "2.(A7xA4).2",
"2.(A6xA5).2", "2xM11", "2.A11M7", "LyN2", ],
[ # fusions to 2.A11.2
"2.A11", ],
[ # fusions to Isoclinic(2.A11.2)
],
[ # fusions to 2.A12
"Isoclinic(2.A10.2)", "2.A11", "2.M12", "2.A12M8", "(2.A9x3).2",
"2.(A6xA6).2^2", "2.(A8xA4).2", "2.(A7xA5).2", "2.2^5.S6",
"2^(1+6)_-.3^3.S4", "2.3^4.2^3.S4", ],
[ # fusions to 2.A12.2
"2.A12", ],
[ # fusions to Isoclinic(2.A12.2)
],
[ # fusions to 2.A13
],
[ # fusions to 2.A13.2
"2.A13", ],
[ # fusions to Isoclinic(2.A13.2)
],
[ # fusions to 2.A14.2
],
[ # fusions to Isoclinic(2.A14.2)
],
[ # fusions to 2.A15.2
],
[ # fusions to 2.A16.2
],
[ # fusions to 2.A17.2
],
[ # fusions to 2.A18.2
],
[ # fusions to 2.A5
"P2/G1/L1/V1/ext2", "P2/G1/L1/V1/ext3", "P2/G2/L1/V1/ext2",
"P2/G2/L1/V1/ext3", "P2/G2/L1/V2/ext2", "2.S3", "5^2:2A5", "2.L2(3)",
"bd10", "sl25ex", ],
[ # fusions to 2.A5.2
"2.A5", "5:8", "(2.A5x2.J2).2", "2.S4", "(2.A5xD10).2", "(2^2x3).2", ],
[ # fusions to Isoclinic(2.A5.2)
"2.A5", "(2.A5x3).2", "3.3^(1+4):2S5", "3^(1+4):2S5", "(A6x2.A5).2",
"(3.A6x2.A5).2", "(2.A5xA5):2", ],
[ # fusions to 2.A6
"2.A5", "6.A6", "2.Symm(4)", "2.D8", "2.A6M2", "3^2:8", "2.A6M5", "bd10",
"3^4:2.A6", ],
[ # fusions to 2.A6.2_1
"2.A5.2", "2.A6", "6.A6.2_1", "QD16.2", "5:8", "2.A8N3",
"(3^(1+2):8x2.A6).2", "(2.A6xU3(3)).2", "(2.A6x3).2_1", "(3^2:4x2.A6).2",
"3^5:2S6", "(3^(1+2):4x2.A6).2", ],
[ # fusions to 2.A6.2_2
"2.A6", "6.A6.2_2", "2.D16", "2.D20", ],
[ # fusions to Isoclinic(2.A6.2_2)
],
[ # fusions to 2.A7
"Isoclinic(2.A5.2)", "2.A6", "6.A7", "5:8", "2.Symm(4)", "2.D8", "2x7:3",
"2.L3(2)", "3^2:8", "(2.A4x3).2", ],
[ # fusions to 2.A7.2
"2.A7", "6.A7.2", "QD16.2", "7:12", ],
[ # fusions to Isoclinic(2.A7.2)
"2.A6.2_1", "2.A7", "(7:3x2.A7):2", "(2.A7xL2(7)).2", "(2.A7x3).2", ],
[ # fusions to 2.A8
"2.A6.2_1", "2.A7", "(3x2.D10).2", "2.A8N3", "2x7:3", "2(A4xA4).2^2",
"(2.A5x3).2", "2^(1+3):L3(2)", "2^4:D8", "McLN2", ],
[ # fusions to 2.A8.2
"2.A8", ],
[ # fusions to Isoclinic(2.A8.2)
"Isoclinic(2.A7.2)", "2.A8", "2x7:6", "(2.A8x3).2", "LyN2", ],
[ # fusions to 2.A9
"Isoclinic(2.A7.2)", "2.A8", "L2(8):3x2", "(2.A6x3).2_1", "2.A9M5",
"2.(A5xA4).2", "(2x3^3).S4", "2x3^2:2A4", "2^1+8.2.A9", ],
[ # fusions to 2.A9.2
"2.A9", ],
[ # fusions to Isoclinic(2.A9.2)
"2.A9", "(2.A9x3).2", ],
[ # fusions to 2F4(2)'M7
"2.HSM11", ],
[ # fusions to 3.A6
"6.A6", "Isoclinic(6.A6x2)", "3xD10", "3^(1+2):4", "3xA5", "3.A6M2",
"3xSymm(4)", "3.A6M5", "3xD8", "3.M22M2", "6.M22M2", "12.M22M2",
"2^4+6:3a6", "2.SuzM7", ],
[ # fusions to 3.A6.2^2
"3.A6.2_1", "3.A6.2_2", "3.A6.2_3", "3.A6.(2x4)", "(3.A6.2_2xA5):2", ],
[ # fusions to 3.A6.2_1
"3.A6", "6.A6.2_1", "2^6:3.s6", "2^(4+6):3S6", "3^(1+2):D8", ],
[ # fusions to 3.A6.2_2
"3.A6", "6.A6.2_2", "Isoclinic(6.A6.2_2)", "(2x3.A6).2", ],
[ # fusions to 3.A6.2_3
"3.A6", "Isoclinic(3.A6.2_3x2)", "12.A6.2_3", "(D10x3.A6).2_3",
"(2.D10x3.A6).2_3", "6.M22M7", "12.M22M7", "(3.A6xA5):2", "(3.A6x2.A5).2",
"5:4x3", ],
[ # fusions to 3.A7
"3.A6", "6.A7", "3^(1+2):4", "7:3x3", "3xSymm(4)", "3xL3(2)", "3xA5.2",
"3.(A4x3):2", "3xD8", "3.2^4:a7", "3.McLM10", "2.(2x3.A7)", "5:4x3", ],
[ # fusions to 3.A7.2
"3.A7", "6.A7.2", "Isoclinic(6.A7.2)", "(7:3x3):2", "6^2:D12",
"3^(1+2):D8", ],
[ # fusions to Isoclinic(2.A6x2)
],
[ # fusions to 4.A6.2_3
"Isoclinic(2.A6x2)", "12.A6.2_3", ],
[ # fusions to 6.A6
"6.A6N2", "3x2.D10", "3x2.A5", "6.A6M2", "3x2.Symm(4)", "6.A6M5", "6.A6M3", ],
[ # fusions to 6.A6.2_1
"6.A6", "(3x2.D10).2", ],
[ # fusions to 6.A6.2_2
"6.A6", ],
[ # fusions to Isoclinic(6.A6.2_2)
],
[ # fusions to 6.A7
"6.A6", "6.A6N2", "6x7:3", "3x2.Symm(4)", "3x2.L3(2)",
"3xIsoclinic(2.A5.2)", "6.A6M3", "6.(A4x3).2", "3x5:8", ],
[ # fusions to 6.A7.2
"6.A7", "(7:3x3):4", ],
[ # fusions to Isoclinic(6.A7.2)
],
[ # fusions to A10
"2.A10", "A6.2_3", "A8.2", "A9", "(A7x3).2", "(A5xA5):4", "(A6xA4).2",
"mo62", ],
[ # fusions to A10.2
"2.A10.2", "Isoclinic(2.A10.2)", "A10", "A6.2^2", "A9.2", "S8x2", "S7xS3",
"S6xS4", "(A10x3):2", "s2wrs5", "s5wrs2", ],
[ # fusions to A11
"2.A11", "A10", "A9.2", "M11", "(A8x3).2", "(A7xA4):2", "(A6xA5):2",
"A11Syl2", ],
[ # fusions to A11.2
"2.A11.2", "Isoclinic(2.A11.2)", "A10.2", "A11", "S9x2", "S8xS3", "S7xS4",
"S6xS5", "11:10", ],
[ # fusions to A12
"2.A12", "A10.2", "A11", "M12", "(A9x3):2", "(A8xA4):2", "(A7xA5):2",
"2^6:3^3:S4", "3^4:2^3.S4", "2^5:S6", "(A6xA6):2^2", ],
[ # fusions to A12.2
"2.A12.2", "Isoclinic(2.A12.2)", "A11.2", "A12", "L2(11).2", "S10x2",
"S9xS3", "S8xS4", "S7xS5", "(A5xA12):2", "S4wrS3", "S3wrS4", "2^6:S6",
"(S6xS6):2", "7:6xA5.2", ],
[ # fusions to A13
"2.A13", "A11.2", "A12", "L3(3)", "(A10x3):2", "(A9xA4):2", "(A8xA5):2",
"(A7xA6):2", "13:6", ],
[ # fusions to A13.2
"2.A13.2", "Isoclinic(2.A13.2)", "A12.2", "A13", "S11x2", "S10xS3",
"S9xS4", "S8xS5", "S7xS6", "13:12", ],
[ # fusions to A14
"A12.2", "A13", "2^6:S7", "L2(13)", "(A5xA9):2", ],
[ # fusions to A5
"2.A5", "2^9.2^4.A5a", "2^9.2^4.A5b", "P1/G1/L1/V1/ext2",
"P1/G1/L1/V1/ext3", "P1/G1/L1/V1/ext4", "P1/G1/L1/V1/ext5",
"P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext3", "P1/G1/L1/V2/ext6",
"P1/G2/L1/V1/ext2", "P1/G2/L1/V1/ext3", "P1/G2/L1/V1/ext4",
"P1/G2/L1/V2/ext2", "P1/G2/L1/V2/ext4", "P1/G2/L2/V2/ext2",
"P1/G2/L2/V2/ext4", "P1/G3/L2/V1/ext2", "P1/G3/L2/V1/ext3",
"P2/G1/L1/V1/ext2", "P2/G2/L1/V1/ext2", "P2/G2/L1/V2/ext2", "S3", "D10",
"2^4:A5", "3x2.A5", "2^1+4b:a5", "2^{1+4}_-:2A5", "a4", "mo62p", ],
[ # fusions to A6M2
"2.A6M2", "3.A6M2", "6.A6M2", ],
[ # fusions to A5.2
"2.A5.2", "Isoclinic(2.A5.2)", "A5", "(7:3xA5):2", "S3x2", "(A5x3):2",
"(A8xA5):2", "3xIsoclinic(2.A5.2)", "(A6xA5):2", "(A5xA12):2",
"(A5xU3(8):3):2", "(A7xA5):2", "2^4:s5", "2.M22M5", "4.M22M5", "M22.2M4",
"2.M12M8", "(a6xa5).2", "2.2.2^4+6:S5", "2.2^4+6:S5", "4.2^4.S5",
"2^(1+6)_+:S5", "2.HSM10", "(A6:2_2xA5).2", "(3.A6xA5):2",
"(3.A6.2_2xA5):2", "(A5xJ2):2", "3^1+4:2^1+4.s5", "(A5xA9):2",
"2^(1+4).S5", "(2^2xA5):2", "(A5xU4(2)):2", "(A4xA5):2", "(A5xD10).2",
"(A5xA5):2", "(2.A5xA5):2", "2^10:(2^5:s5)", "3^4:S5", "M24C2B", "gl25",
"mo62", "s2wrs5", "s4", "twd5a", "w(d5)", "2^6:S5", "5:4", ],
[ # fusions to A6.2_1M3
],
[ # fusions to A6
"2.A6", "3.A6", "6.A6", "A5", "A6M2", "2^5:A6", "P21/G1/L1/V1/ext2",
"P21/G1/L1/V1/ext3", "P21/G1/L1/V1/ext4", "P21/G1/L3/V2/ext3",
"P21/G2/L1/V1/ext2", "P21/G2/L1/V2/ext2", "P21/G2/L1/V3/ext2",
"P21/G2/L2/V1/ext2", "P21/G2/L2/V2/ext2", "P21/G2/L2/V3/ext2",
"P21/G2/L5/V2/ext2", "P21/G3/L2/V1/ext2", "P21/G3/L5/V1/ext2", "D8", "D10",
"3^2:4", "2^4:a6", "2.M22M2", "4.M22M2", "s4", "A6M5", "3^4:A6", ],
[ # fusions to A6.2^2
"3.A6.2^2", "A6.2_1", "A6.2_2", "A6.2_3", "[2^20]:A6.2^2", "2xa6.2^2",
"(A6:2_2xA5).2", "(3xM10):2", "(S6xL3(4).2).2", "A6.D8", "(4xA6).2^2",
"3^2:Q8.2", ],
[ # fusions to U4(3).2_3M10
],
[ # fusions to A6.2_1
"2.A6.2_1", "3.A6.2_1", "6.A6.2_1", "A5.2", "A6.2_1M3", "A6", "3^4:S6",
"2xSymm(4)", "D8x2", "(A7xA6):2", "(A6xA4).2", "(A6xA5):2", "(4xA6):2",
"(3^2:4xa6).2", "2^4.s6", "2.2^4.S6", "(3^2:8xA6).2", "(3^(1+2):4xA6).2",
"(3^(1+2):8xA6).2", "(A6xU3(3)):2", "2^5:S6", "s2wrs3", "s3wrs2", "2^6:S6",
"suzdx", "(3xA6).2_1", "M22.2M3", "2^(3+8):(S3xS6)", "5:4", ],
[ # fusions to A6.2_2
"2.A6.2_2", "Isoclinic(2.A6.2_2)", "3.A6.2_2", "6.A6.2_2", "A6", "D16",
"j3m6", "D20", ],
[ # fusions to A6.2_3
"(2xA6).2_3", "3.A6.2_3", "4.A6.2_3", "A6", "12.A6.2_3", "(D10xA6).2",
"(2.D10xA6).2", "(4xA6).2_3", "(a6xa5).2", "3^4:m10", "3^5:M10", "ONM5",
"(A6x2.A5).2", "3^2:Q8", "M11N2", "5:4", ],
[ # fusions to A7
"2.A7", "3.A7", "6.A7", "A5.2", "A6", "P27/G1/L1/V1/ext2",
"P27/G1/L1/V1/ext3", "P27/G1/L1/V1/ext4", "D8", "7:3", "3^2:4", "(A4x3):2",
"L3(2)", "2^4:a7", "2.(2xA7)", "McLM10", "s4", "2^6:A7", "5:4", ],
[ # fusions to A7.2
"2.A7.2", "Isoclinic(2.A7.2)", "3.A7.2", "6.A7.2", "Isoclinic(6.A7.2)",
"A6.2_1", "A7", "(7:3xA7):2", "2^6:S7", "2xSymm(4)", "D8x2", "(A7xA6):2",
"(A7x3).2", "(2.A7x3).2", "(A7xA4):2", "(A7x(A5xA5):2^2):2", "(A7xA5):2",
"2xS5", "S4xS3", "(A7xL2(7)):2", "7:6", "s3wrs2", "2x5:4", ],
[ # fusions to A8
"2.A8", "A6.2_1", "A7", "P31/G1/L1/V1/ext2", "P31/G1/L1/V1/ext3", "7:3",
"2^3.S4v1", "2^3.S4v2", "(A5x3):2", "2^3:sl(3,2)", "2^4:a8", "2^1+4+6.a8",
"2^4.a8", "2^4:(S3xS3)", "2^6:A8", "2^(1+6)_+.A8", "s3wrs2", "s61p",
"2^10.A8", "(3xD10).2", ],
[ # fusions to A8.2
"2.A8.2", "Isoclinic(2.A8.2)", "A7.2", "A8", "S3x5:4", "L3(2).2", "S6x2",
"S5xS3", "(A8xA5):2", "(A8x3).2", "(A8xA4):2", "Isoclinic(S8x2)", "7:6",
"mo61", "mo81", "s2wrs4", "A8.2N2", "2^6:S8", "2^8:S8", ],
[ # fusions to A9
"2.A9", "A7.2", "A8", "L2(8).3", "A9M5", "3^2:2A4", "2x2.A9", "2^1+8.a9",
"2^1+8.2.A9", "(A4xA5):2", "2^8.A9", "(3xA6).2_1", "3^3.S4", ],
[ # fusions to A9.2
"2.A9.2", "Isoclinic(2.A9.2)", "A8.2", "A9", "(D10xA9).2", "S7x2", "S5xS4",
"(A9xA4):2", "(A9x3):2", "3xIsoclinic(2.A9.2)", "3^2.2.S4", "(A5xA9):2",
"S3xS6", "s3wrs3", ],
[ # fusions to M12M4
"2.M12M4", ],
[ # fusions to A14.2
"2.A14.2", "Isoclinic(2.A14.2)", "A13.2", "A14", ],
[ # fusions to A15.2
"2.A15.2", "A15", ],
[ # fusions to A15
],
[ # fusions to A16.2
"2.A16.2", "A16", ],
[ # fusions to A16
],
[ # fusions to A17
"(A5xA12):2", ],
[ # fusions to A17.2
"2.A17.2", "A17", ],
[ # fusions to A18
],
[ # fusions to A18.2
"2.A18.2", "A18", ],
[ # fusions to A19
],
[ # fusions to A19.2
"A19", ],
[ # fusions to Isoclinic(6.A6x2)
],
[ # fusions to Isoclinic(3.A6.2_3x2)
"12.A6.2_3", ],
[ # fusions to 12.A6.2_3
"Isoclinic(6.A6x2)", ],
[ # fusions to 2.F4(2)
"(2^2x3).2E6(2)M4", "2.F4(2)M5", "2.F4(2)M6", "2.F4(2)M1", "2.F4(2)M2",
"2^2.2E6(2)M4", "2xS3xS6(2)", ],
[ # fusions to 2.F4(2).2
"2.F4(2)", ],
[ # fusions to Isoclinic(2.F4(2).2)
],
[ # fusions to Isoclinic(2x2.F4(2).2)
],
[ # fusions to 2.(2xF4(2)).2
],
[ # fusions to 2.G2(4)
"2.J2", "3^(1+2):8:4", "S3x2.A5", "2.D10xA5", "(7:3x3):4", "2.G2(4)N2",
"2.L2(13)", "Isoclinic(6.L3(4).2_3)", "2.2^(4+6).(A5x3)",
"Isoclinic(2xU3(4).2)", "Isoclinic(2xU3(3).2)", "2.A5xA5", "(2x13).6",
"2.J2M8", "2A5xD10", "2.2^(2+8).(3xA5)", ],
[ # fusions to 2.G2(4).2
"2.G2(4)", "Isoclinic(2.J2.2)", "2.J2.2N5", "6.L3(4).(2^2)_{123*}",
"(2.A5xD10).2", ],
[ # fusions to Isoclinic(2.G2(4).2)
"2.G2(4)", "(2.A4x2.G2(4)).2", ],
[ # fusions to 2.Sz(8)
"2^2.Sz(8)", "2.2^(3+3):7", "2x13:4", "D28", "2x5:4", ],
[ # fusions to 2^2.Sz(8)
"2^2.2^(3+3):7", "2^2x13:4", "2^2xD14", "5:4x2^2", ],
[ # fusions to 2^2.Sz(8).3
"2^2.Sz(8)", ],
[ # fusions to 3.G2(3)
"3^3.(3x3^(1+2)+):2^2", "3x4^2:D12", "3xM12N2", "3x7:6", "3x13:6",
"3xU3(3).2", "3.G2(3)M2", "3.(3^(1+2)+x3^2):2S4", "3.G2(3)M4", "3.G2(3)M6",
"3xL2(8).3", "3x2^3.L3(2)", "3xL2(13)", "3.2^(1+4)+:3^2.2", "3xL3(3).2", ],
[ # fusions to 3.G2(3).2
"3.G2(3)", ],
[ # fusions to F4(2)
"2.F4(2)", "(7:3xL2(7)):2", "F4(2)N7B", "5:4xS6", "L4(3).2_2", "6x2.F4(2)",
"[2^20]:(S3xL3(2))", "F4(2)M6", "F4(2)M13", "(L3(2)xL3(2)):2",
"(2^(1+8)x2^6):S6(2)", "F4(2)M2", "2x2.F4(2)", "S3xS6(2)", "O8+(2).3.2",
"F4(2)M8", "7^2:(3x2A4)", "Fi22N5", "17:8", "13:12", "S8(2)", "F4(2)M4",
"2F4(2)'.2", "3D4(2).3", "F4(2)M10", ],
[ # fusions to F4(2).2
"2.F4(2).2", "Isoclinic(2.F4(2).2)", "2.(2xF4(2)).2", "F4(2)", "L4(3).2^2",
"[2^20]:A6.2^2", "[2^22]:(S3xS3):2", "2F4(2)x2", "(S6wr2).2", "F4(2).2M8",
"(L3(2)xL3(2)).4", "7^2:(3x2S4)", "(2^2xF4(2)):2", "S4(4).4", ],
[ # fusions to G2(3)
"3.G2(3)", "3^2.(3x3^(1+2)+):2^2", "L2(13)", "L2(8).3", "L3(3).2",
"G2(3)M6", "2x3.G2(3)", "4^2:D12", "13:6", "7:6", "(3^(1+2)+x3^2):2S4",
"G2(3)M4", "2^(1+4)+:3^2.2", "2^3.L3(2)", "M12N2", "U3(3).2", "G2(3)M2", ],
[ # fusions to G2(3).2
"3.G2(3).2", "G2(3)", "G2(3).2N2", "L2(13).2", "L2(8):3x2",
"2^(1+4)+.(S3xS3)", "2^3.L3(2):2", "3^2.(3x3^(1+2)+):D8", "4^2:D12.2",
"(3xG2(3)):2", "(3^2:2xG2(3)).2", "13:12", ],
[ # fusions to G2(4)
"2.G2(4)", "J2", "S3xA5", "G2(4)N2", "L2(13)", "3.L3(4).2_3", "(7:3x3):2",
"13:6", "5^2:D12", "a5xd10", "D10xA5", "A5xA5", "2^(2+8):(3xA5)",
"2^(4+6):(A5x3)", "3^(1+2):SD16", "U3(3).2", "U3(4).2", ],
[ # fusions to G2(4).2
"2.G2(4).2", "Isoclinic(2.G2(4).2)", "G2(4)", "J2.2", "2^(2+8):(3xA5):2",
"2^(4+6):(A5x3):2", "L2(13).2", "3.L3(4).2^2", "S5xS3", "(3xG2(4)).2",
"(A4xG2(4)):2", "2xU3(3).2", "(A5xD10).2", "(D10xA5).2", "(A5xA5):2",
"5^2:(4xS3)", "S3x7:6", "13:12", "U3(4).4", ],
[ # fusions to G2(5)
"31:6", "L3(5).2", "5^2.5.5^2.4S5", "2.(A5xA5).2", "5^(1+4):GL(2,5)",
"2^3.L3(2)", "3.U3(5).2", "U3(3).2", ],
[ # fusions to G2(7)
],
[ # fusions to R(27)
"L2(8).3", "3^(3+6):26", "19:6", "(2^2xD14):3", ],
[ # fusions to R(27).3
"R(27)", "37:18", ],
[ # fusions to Sz(32)
"2^(5+5):31", "41:4", "25:4", "D62", ],
[ # fusions to Sz(32).5
"Sz(32)", ],
[ # fusions to Sz(8)
"2.Sz(8)", "2^2.Sz(8)", "D14", "2^12:Sz(8)", "5:4", "13:4", "2^(3+3):7", ],
[ # fusions to Sz(8).3
"2^2.Sz(8).3", "Sz(8)", "(2^2xSz(8)):3", "2.(2^2xSz(8)):3", "7:6", "5:4x3",
"13:12", "2^(3+3):7:3", ],
[ # fusions to 3^(1+10):U5(2):2
"3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4", ],
[ # fusions to 3^5:U4(2)
"U4(2)", ],
[ # fusions to 3^7:O7(3)
"O7(3)", ],
[ # fusions to 2^7:S6(2)
"2^6:s6f2", ],
[ # fusions to 2^8:O8+(2)
"2^8:S6(2)", "O8+(2)", ],
[ # fusions to 2^8:S8(2)
"S8(2)", ],
[ # fusions to 2^(1+22).Co2
],
[ # fusions to 2.Co1
"(3^2x2).U4(3).D8", "NDG(2.Co1,3^3)", "NDG(2.Co1,5^2)", "2xCo1N3",
"2xCo1N5", "2x5^(1+2):GL2(5)", "2x7^2:(3x2A4)", "(Q16xU3(3)).2",
"5^3:(4x(2xA5).2)", "(2x2^(1+8)_+).O8+(2)", "2.2^(2+12):(A8xS3)",
"(D10x2.(A5xA5).2).2", "(11:5xD12).2", "2.(13:6xA4).2", "(7:3x2.A7):2",
"2.(D10xJ2).2", "2x(7:3xL2(7)):2", "2.2^(4+12).(S3x3S6)",
"2x3^(1+4).2U4(2).2", "3^(3+4):(2.S4)^2", "(2.A7xL2(7)).2",
"(2.A6xU3(3)).2", "2.(A4xG2(4)).2", "2.(A5xJ2).2", "2x23:11", "2.2^11:M24",
"2xCo2", "2xCo3", "2xU6(2).3.2", "2x3^6:2.M12", "2.A9xS3", "2x5^2:2A5",
"2^1+24.2.Co1", "6.Suz.2", ],
[ # fusions to 2.J2
"2.A5", "2.J2N2", "2.J2N3", "7:12", "2.A4xS3", "(2x3.A6).2", "(2xL3(2)).2",
"2.J2M8", "2A4xA5", "2A5xD10", "2^{1+4}_-:2A5", "2^{3+4}:(3xS3)",
"2xU3(3)", ],
[ # fusions to 2.J2.2
"Isoclinic(2.A5.2)", "2.J2", "2.J2.2N5", "(2.A5x2.J2).2",
"Isoclinic(2xU3(3).2)", "(2.A5xD10).2", ],
[ # fusions to Isoclinic(2.J2.2)
"2.J2", "2.J2.2N5", ],
[ # fusions to 3.J3
"3x(3xA6):2_2", "3xJ3N2", "3^3.3^(1+2):8", "3x2^(1+4)_-:A5",
"3x2^(2+4):(3xS3)", "3x19:9", "3x17:8", "3xD6xD10", "3x2^4:(3xA5)",
"3xL2(16).2", "3xL2(19)", "3xL2(17)", ],
[ # fusions to 3.J3.2
"3.J3", "3.(3xM10):2", "3^3.3^(1+2):8.2", "(3xL2(16):2).2", ],
[ # fusions to Co1
"2.Co1", "Co2", "Co3", "NDG(Co1,5^2)", "D8xU3(3).2", "11:10xS3",
"(7:3xA7):2", "(13:6xA4).2", "(D10xJ2).2", "S4xU3(3).2", "23:11",
"(A4xG2(4)):2", "(A5xJ2):2", "(A6xU3(3)):2", "(A7xL2(7)):2",
"(D10x(A5xA5).2).2", "2^(1+8)+.O8+(2)", "2^(2+12):(A8xS3)",
"2^(4+12).(S3x3S6)", "2^11:M24", "3^(3+4):2(S4xS4)", "3^6:2M12",
"5^(1+2):GL2(5)", "5^2:2A5", "5^3:(4xS5)", "A9xS3", "2^24.Co1",
"2^1+24.Co1", "2^1+24.2.Co1", "2^(4+12).(S3x3^(1+2)_+:D8)",
"3^(1+4).2U4(2)", "3^(1+4).2U4(2).2", "3.Suz.2", "7^2:(3x2A4)", "Co1N3",
"Co1N5", "3^2.U4(3).D8", "U6(2).3.2", ],
[ # fusions to Co2
"2^(1+22).Co2", "S3xU4(2).2", "3^4.A6.D8", "2^(1+8)_+.2^5.S4(2)",
"2^3.(2x2^(1+3+3+3).L3(2))", "2^(1+1+3+3).(2x2^(3+3).L3(2))",
"2^(1+1+2+4).(2x2^(2+4).S3^2)", "2^10.2^3.2^3.S3",
"2^(1+8)_+.2^3.2^2.2^3.S3", "2^(1+8)_+.2^2.2^2.2^4.S3",
"2^(1+8)_+.2^3.2^5.S3", "M23", "23:11", "5:4xS5", "2^(4+10)(S5xS3)",
"2^1+4+6.a8", "2^1+8:s6f2", "2^10:m22:2", "3^1+4:2^1+4.s5", "11:10",
"2^10:(2^5:s5)", "2^(4+10).(S4xS3)", "HS.2", "McL", "5^(1+2):4S4", "Co2N2",
"3^(1+4)_+:(S3xQD16)", "Co2N7", "U4(3).D8", "U6(2).2", ],
[ # fusions to Co3
"2^3.(2x2^3.L3(2))", "2.2^3.2^5.S3", "(2^2x4).2^5.S3", "2.2^4.2^4.S3",
"(2x4^2).2^4.S3", "L3(4).D12", "M23", "2.(2^5:S6)", "2.2^6.L3(2)", "23:11",
"4.2^4.S5", "5:4xa5", "2^2.[2^7*3^2].S3", "2^4.a8", "2xm12", "3^1+4:4s6",
"3^5:(2xm11)", "a4xs5", "s3xpsl(2,8).3", "c3d2", "HS", "McL", "McL.2",
"5^(1+2):(24:2)", "Co3N2", "Co3N3", "2x11:5", "S3x7:6", "2.S6(2)", "U4(3)",
"U4(3).(2^2)_{133}", "U3(5).2", "U3(5).3.2", ],
[ # fusions to J1
"L2(11)", "11:10", "19:6", "2xA5", "7:6", "D6xD10", "2^3.7.3", ],
[ # fusions to J2
"3.A6.2_2", "A5", "2.J2", "L3(2).2", "A4xS3", "2^1+4b:a5", "2^2+4.3xs3",
"5^2:D12", "7:6", "a4xa5", "a5xd10", "2^12:J2", "3^(1+2):8", "J2N2",
"U3(3)", ],
[ # fusions to J2.2
"3.A6.2^2", "A5.2", "2.J2.2", "Isoclinic(2.J2.2)", "J2", "(D10xJ2).2",
"5^(1+6):2.J2.4", "S4xS3", "2^(2+4).(S3x2)", "(A5xJ2):2", "2^(1+4).S5",
"2^(2+4):(S3xS3)", "(A4xA5):2", "(A5xD10).2", "L3(2).2x2", "3^(1+2):SD16",
"5^2:(4xS3)", "U3(3).2", ],
[ # fusions to J3
"3.J3", "J3M3", "L2(16).2", "L2(17)", "L2(19)", "2^1+4b:a5", "2^2+4.3xs3",
"D6xD10", "j3m4", "j3m6", "3^2.3^(1+2):8", "J3N2", "17:8", "19:9", ],
[ # fusions to J3.2
"3.J3.2", "J3", "L2(16).4", "2^4:(3xA5).2", "2^(2+4).(S3x2)", "(3xM10):2",
"19:18", "2^(1+4).S5", "2^(2+4):(S3xS3)", "3^2.3^(1+2):8.2", "L2(17)x2", ],
[ # fusions to J4
"NDG(J4,3^2)", "(D10x2^3.L3(2)).2", "7:3xS5", "31:10", "23:22", "L2(23).2",
"L2(32).5", "6.M22.2", "M22.2", "M24", "37:12", "43:14", "J4M4", "c2aj4",
"frob", "2^10:L5(2)", "mx1j4", "2^11.2^6.3^(1+2).D8", "(2x3^(1+2)_+:8):2",
"11+^(1+2):(5x2S4)", "U3(3)", "U3(11).2", ],
[ # fusions to NDG(12.M22,3^2)
],
[ # fusions to 12.M22N3
],
[ # fusions to 3xIsoclinic(2x5:8)
],
[ # fusions to 12x7:3
],
[ # fusions to 12x11:5
],
[ # fusions to 3x2.M22N2
"3x4.M22N2", ],
[ # fusions to 2x3.(A4x3):2
"NDG(12.M22,3^2)", ],
[ # fusions to (GL(2,3)x2F4(2)').2
],
[ # fusions to D8x2F4(2)'.2
"(QD16x2F4(2)').2", ],
[ # fusions to QD16.2
"(Q16xU3(3)).2", "2.D8", "M11N2", ],
[ # fusions to (QD16x2F4(2)').2
],
[ # fusions to 2.(3^2:D8xU4(3).2^2).2
],
[ # fusions to 2xBN5
],
[ # fusions to (5^2:4S4x2.A5):2
],
[ # fusions to 2.BN7
],
[ # fusions to (3^2x2).U4(3).D8
],
[ # fusions to NDG(2.Co1,3^3)
],
[ # fusions to NDG(Co1,5^2)
],
[ # fusions to NDG(2.Co1,5^2)
],
[ # fusions to 2xCo1N3
],
[ # fusions to 2xCo1N5
],
[ # fusions to 2x5^(1+2):GL2(5)
],
[ # fusions to 2x7^2:(3x2A4)
],
[ # fusions to 2.HS.2N3
"2.HSN3", ],
[ # fusions to 2.HSN2
],
[ # fusions to 2.HS.2N2
"2.HSN2", ],
[ # fusions to NDG(2.HS,Q8)
],
[ # fusions to NDG(2.HS,Q8).2
"NDG(2.HS,Q8)", ],
[ # fusions to 5^(1+2):8:4
],
[ # fusions to 2.J2N2
],
[ # fusions to 2.J2N3
],
[ # fusions to 2.J2.2N5
"2.J2M8", ],
[ # fusions to 2.M12N2
],
[ # fusions to 2xM12N3
],
[ # fusions to 2.RuN2
],
[ # fusions to 5^(1+2):(4x4):4
],
[ # fusions to 3.F3+N5
],
[ # fusions to 3.F3+.2N5
"3.F3+N5", ],
[ # fusions to 3xF3+N7
],
[ # fusions to 3.F3+.2N7
"3xF3+N7", ],
[ # fusions to (A4x11:5).2
],
[ # fusions to 3x(A4x11:5).2
],
[ # fusions to (3^(1+2)_+:2x13:6).2
],
[ # fusions to 3x17:16
],
[ # fusions to 3x23:11
],
[ # fusions to 3x29:14
],
[ # fusions to 3x(D10xA9).2
],
[ # fusions to 3x(3xA6):2_2
],
[ # fusions to 3.(3xM10):2
"3x(3xA6):2_2", ],
[ # fusions to 3xJ3N2
],
[ # fusions to 3^3.3^(1+2):8
],
[ # fusions to 3^3.3^(1+2):8.2
"3^3.3^(1+2):8", ],
[ # fusions to 3.McL.2N5
"3x5^(1+2):3:8", ],
[ # fusions to 3xMcLN2
"3x2.M22N2", "3x4.M22N2", ],
[ # fusions to (3xMcLN2).2
"3xMcLN2", ],
[ # fusions to McL.2N3
"3.McL.2N3", "3^4.3^2.Q8", "3^4:(3^2:Q8)", ],
[ # fusions to 3.McL.2N3
"3.3^4.3^2.Q8", ],
[ # fusions to 3xONN2
],
[ # fusions to ON.2N2
"(3xONN2).2", "4^3.D8", ],
[ # fusions to (3xONN2).2
"3xONN2", ],
[ # fusions to NDG(ON,D8)
"NDG(3.ON,D8)", ],
[ # fusions to NDG(3.ON,D8)
],
[ # fusions to NDG(ON,D8).2
"NDG(ON,D8)", ],
[ # fusions to 3x(4x2^2).2^4.S3
],
[ # fusions to 3x(4^2x2).2^3.S3
],
[ # fusions to 3.ON.2N3
"3.ONM6", ],
[ # fusions to 3.ON.2M4
"3.ONM5", ],
[ # fusions to 3.ON.2N7
"3x7^(1+2):(D8x3)", ],
[ # fusions to 2.M22N2
"3x2.M22N2", "4.M22N2", "3x4.M22N2", ],
[ # fusions to 4.M22N2
],
[ # fusions to 3x4.M22N2
],
[ # fusions to Isoclinic(2x(2.A4x3).2)
"NDG(12.M22,3^2)", ],
[ # fusions to Isoclinic(4x3^2:Q8)
"12.M22N3", ],
[ # fusions to Isoclinic(2x5:8)
"3xIsoclinic(2x5:8)", ],
[ # fusions to 4x7:3
"12x7:3", "7:3", ],
[ # fusions to 4x11:5
"12x11:5", ],
[ # fusions to 2x11:10
],
[ # fusions to 6.A6N2
],
[ # fusions to 2^6.2^5.S6
],
[ # fusions to 2^10.2^3.L3(2)
],
[ # fusions to 2^(5+8):(2xA6)
"2^(5+8):(2x3.A6)", ],
[ # fusions to (2x2^(1+8)_+).2.2^4.(S3xS3)
],
[ # fusions to 2^(5+8):(S3xS4)
],
[ # fusions to 2^(5+8):(S3xD8)
],
[ # fusions to 2^10.2^4.S5
],
[ # fusions to 2^(5+8):(2xS4)
--> --------------------
--> maximum size reached
--> --------------------
