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)
],
[ # fusions to 2^10.2^2.2^2.S4
],
[ # fusions to 2^10.2^3.S4
],
[ # fusions to 2^(5+8):(S3x3.A6)
],
[ # fusions to 2^(5+8):(2x3.A6)
],
[ # fusions to S3x6_1.U4(3).2_2
],
[ # fusions to 2x3^5:U4(2):2
],
[ # fusions to 2x3^5.3^3.(2xS4)
],
[ # fusions to 2x(3^(1+6).3)a.2.S4
],
[ # fusions to 2x(3^(1+6).3)b.2.S4
],
[ # fusions to 2x3^5.3^(1+2).2.S4
],
[ # fusions to 2xFi22N3
"2x3.Fi22N3", ],
[ # fusions to 2xS3x7:6
"6xS3x7:6", ],
[ # fusions to 2^2x11:5
"2x6x11:5", ],
[ # fusions to 2x13:6
"6x13:6", "13:6", ],
[ # fusions to 3.Fi22N3
],
[ # fusions to 3x2^6:S6(2)
],
[ # fusions to S3x3_1.U4(3).2_2
"S3x6_1.U4(3).2_2", ],
[ # fusions to 3.3^(1+6):2^(3+4):3^2:2
],
[ # fusions to 3x2^6.2^5.S6
],
[ # fusions to 3x2^10.2^3.L3(2)
],
[ # fusions to 3x2^10.2^4.S5
],
[ # fusions to 3x2^(5+8):(S3xS4)
],
[ # fusions to 3x(2x2^(1+8)_+).2.2^4.(S3xS3)
],
[ # fusions to 3x2^10.2^3.S4
],
[ # fusions to 3x2^10.2^2.2^2.S4
],
[ # fusions to 3x2^(5+8):(S3xD8)
],
[ # fusions to 3x2^(5+8):(2xS4)
],
[ # fusions to 3xFi22N2
"3x2.Fi22N2", ],
[ # fusions to 3x5:4xS5
"6x5:4xS5", ],
[ # fusions to 6x5:4xS5
],
[ # fusions to 3xFi22N5
"6xFi22N5", ],
[ # fusions to 3xS3x7:6
"6xS3x7:6", ],
[ # fusions to 6xS3x7:6
],
[ # fusions to 6x11:5
"12x11:5", "2x6x11:5", ],
[ # fusions to 2x6x11:5
],
[ # fusions to 2x3.Fi22N3
],
[ # fusions to 2xFi22N5
"6xFi22N5", "Fi22N5", ],
[ # fusions to 6xFi22N5
],
[ # fusions to 3x5^2:(4xS3)
"3x2.J2.2N5", ],
[ # fusions to 3x2.J2.2N5
],
[ # fusions to D8xS6(2)
],
[ # fusions to NDG(He.2,3^2)
"hed3", ],
[ # fusions to NDG(HN,3^2)
],
[ # fusions to NDG(HN.2,3^2)
"NDG(HN,3^2)", ],
[ # fusions to HNN3
],
[ # fusions to HN.2N3
"HNN3", ],
[ # fusions to 3^4.(3xSL(2,3)).2
],
[ # fusions to HNN5
],
[ # fusions to NDG(J4,3^2)
],
[ # fusions to (3^(1+2):2^2xG2(3)):2
],
[ # fusions to (3^2:2x13:6).2
"(3^(1+2)_+:2x13:6).2", ],
[ # fusions to (D10xA9).2
],
[ # fusions to MN5
],
[ # fusions to (11:5xM12):2
],
[ # fusions to 2F4(2)'N2
],
[ # fusions to 2F4(2)'.2N2
"2F4(2)'N2", ],
[ # fusions to 2^(3+1+3).L3(2)
],
[ # fusions to 2^(2+2+4).(S3xS3)
],
[ # fusions to NRS(M24,2^(2+2+4)a)
],
[ # fusions to NRS(M24,2^(4+4))
],
[ # fusions to [2^9].S3a
],
[ # fusions to NRS(M24,[2^9]a)
],
[ # fusions to [2^9].S3b
],
[ # fusions to NRS(M24,[2^9]b)
],
[ # fusions to L3(2)xS3
"[2^20]:(S3xL3(2))", "2.F4(2)M5", "2^6:(psl(3,2)xs3)",
"2^(6+6):(S3xL3(2))", ],
[ # fusions to 3x2^(1+4)_-:A5
],
[ # fusions to 3x2^(2+4):(3xS3)
],
[ # fusions to 3x11:5
"12x11:5", "6x11:5", ],
[ # fusions to 6x7:3
"12x7:3", ],
[ # fusions to G2(3).2N2
"M12N2", ],
[ # fusions to 3^2.(3x3^(1+2)+):2^2
"3^3.(3x3^(1+2)+):2^2", ],
[ # fusions to 3^3.(3x3^(1+2)+):2^2
],
[ # fusions to U3(5).2N2
"M11N2", ],
[ # fusions to (D10xU3(5)N2).2
],
[ # fusions to 5:4xU3(5).2N2
"(D10xU3(5)N2).2", ],
[ # fusions to 2^(1+8)_+.(2xA5)
],
[ # fusions to 2^(1+8)_+.(A4xA5)
],
[ # fusions to 2^(1+8)_+.(A4xA4).2
],
[ # fusions to (D8xA6).2^2
],
[ # fusions to (7:3xA5):2
],
[ # fusions to 2^(2+1+2+4+2).(3xS4)
],
[ # fusions to D8xU3(3).2
"(Q16xU3(3)).2", ],
[ # fusions to (Q16xU3(3)).2
],
[ # fusions to 3x4^2:D12
],
[ # fusions to 3xM12N2
],
[ # fusions to 3x7:6
],
[ # fusions to 3x13:6
"6x13:6", "3x(2x13).6", ],
[ # fusions to 6x13:6
],
[ # fusions to S3x13:6
],
[ # fusions to 5:4xS7
],
[ # fusions to S3xA5
"S3x2.A5", ],
[ # fusions to G2(4)N2
"2.G2(4)N2", ],
[ # fusions to 3^(1+2):8:4
],
[ # fusions to S3x2.A5
],
[ # fusions to 2.A5.2xS3
"S3x2.A5", ],
[ # fusions to 2.D10xA5
],
[ # fusions to (7:3x3):4
"6x7:3", ],
[ # fusions to 2.M12N5
],
[ # fusions to 7:12
"2x7:3", ],
[ # fusions to NRS(M22,[2^6])
],
[ # fusions to 2^(2+8):(3xA5):2
"2^(2+8):(3xA5)", ],
[ # fusions to 2^(4+6):(A5x3):2
"2^(4+6):(A5x3)", ],
[ # fusions to 2.HSN3A
],
[ # fusions to 2^3.(2x2^3.L3(2))
],
[ # fusions to (7:3xL2(7)):2
],
[ # fusions to F4(2)N7B
],
[ # fusions to 3x19:9
],
[ # fusions to 3x17:8
],
[ # fusions to 3xD6xD10
],
[ # fusions to 3x2^3.S4v1
],
[ # fusions to 3xNRS(M22,[2^6])
],
[ # fusions to 2.2^3.2^5.S3
],
[ # fusions to (2^2x4).2^5.S3
],
[ # fusions to 2.2^4.2^4.S3
],
[ # fusions to (2x4^2).2^4.S3
],
[ # fusions to 2.2^(4+6).2.S3
],
[ # fusions to S3xU4(2).2
],
[ # fusions to 3^4.A6.D8
],
[ # fusions to (Q8xD14):3
],
[ # fusions to (Q8x13:4):3
],
[ # fusions to 5:4xS5x2
"6x5:4xS5", "5:4xS5", ],
[ # fusions to 2^5.2^4.L4(2)
],
[ # fusions to (2^5.2^6)a.(S3xL3(2))
],
[ # fusions to (2^5.2^6)b.(L3(2)xS3)
],
[ # fusions to 2^5.2^6.(2xL3(2))
],
[ # fusions to (2^5.2^6.2^2)a.S3^2
],
[ # fusions to (2^5.2^6.2^2)b.S3^2
],
[ # fusions to 2^5.2^6.D8.S3
],
[ # fusions to (2^(1+8).2^3)a.L3(2)
],
[ # fusions to (2^(1+8).2^3)b.L3(2)
],
[ # fusions to 2^(1+8).2^4.S3^2
],
[ # fusions to 2^(1+8).2^4.2.S3
],
[ # fusions to 2^(1+8).2^3.2^2.S3
],
[ # fusions to 2^(1+8).2^(1+4).S3
],
[ # fusions to 2^(1+8).2^2.(3xA5).2
],
[ # fusions to 2^(1+8).2^2.S3^2
],
[ # fusions to 2^(1+8).D8.S3
],
[ # fusions to (D10xA6).2
"(2.D10xA6).2", "(D10x3.A6).2_3", "(2.D10x3.A6).2_3", ],
[ # fusions to 5:8
"(2.D10xA6).2", "(2.D10x3.A6).2_3", "(3x2.D10).2", "bd10", ],
[ # fusions to (2.D10xA6).2
"(2.D10x3.A6).2_3", ],
[ # fusions to 2x3^5:(3^2:SD16)
"2x3.3^5:(3^2:SD16)", ],
[ # fusions to 31:6
],
[ # fusions to 11:5xS3
],
[ # fusions to (SL2(3)x7:3).2
],
[ # fusions to 3^5.3^3.(2xS4)
],
[ # fusions to (3^(1+6).3)a.2.S4
],
[ # fusions to (3^(1+6).3)b.2.S4
"2x(3^(1+6).3)b.2.S4", ],
[ # fusions to 3^5.3^(1+2).2.S4
],
[ # fusions to (3^2:4xD10).2
"(3^(1+2):4xD10).2", ],
[ # fusions to (3^2:D8xD10).2
"(3^2:4xD10).2", ],
[ # fusions to S4x3^2:4
"S4x3^(1+2):4", ],
[ # fusions to S4x3^(1+2):4
],
[ # fusions to (3^(1+2):4xD10).2
],
[ # fusions to 3x7^(1+2):(D8x3)
],
[ # fusions to 3x19:6
],
[ # fusions to 3x31:15
],
[ # fusions to 2.(S4xS5)
],
[ # fusions to 2.D8.S5
],
[ # fusions to (2^(1+4)x3).GO+(4,2)
],
[ # fusions to 2^(1+4).S3^2
],
[ # fusions to 2.(D8x2^2).S3
],
[ # fusions to 2.2^4.2.S3
],
[ # fusions to (4x2^2).2^4.S3
],
[ # fusions to (4^2x2).2^3.S3
],
[ # fusions to 2^(1+6)_-.2^4.A5
],
[ # fusions to 2^(4+6).2^2.(3xS3)
],
[ # fusions to 2^(2+8).2^2.(3xS3)
],
[ # fusions to (A4x7:3):2
"(SL(2,3)x7:3).2", "3x(SL(2,3)x7:3).2", ],
[ # fusions to S4x3^2:Q8
"S4x3^(1+2)_+:Q8", ],
[ # fusions to 11:20
"3x11:20", ],
[ # fusions to (SL(2,3)x7:3).2
"3x(SL(2,3)x7:3).2", ],
[ # fusions to 3x(A5xD10).2
"3x(2.A5xD10).2", ],
[ # fusions to (D10x3.A6).2_3
"(2.D10x3.A6).2_3", ],
[ # fusions to 3x(A4x7:3):2
"3x(SL(2,3)x7:3).2", ],
[ # fusions to 3x11:10
"3x11:20", ],
[ # fusions to S4x3^(1+2)_+:Q8
],
[ # fusions to D8x3^(1+2)_+:Q8
"2.(D8x3^(1+2)_+:Q8)", ],
[ # fusions to 2.(D8x3^2:Q8)
"2.(D8x3^(1+2)_+:Q8)", ],
[ # fusions to 3x2^(1+6)_-.2^4.A5
],
[ # fusions to 3x2^(2+8).2^2.(3xS3)
],
[ # fusions to 3x2^(4+6).2^2.(3xS3)
],
[ # fusions to 3xSuzN2
"3x2.SuzN2", ],
[ # fusions to (2.D10x3.A6).2_3
],
[ # fusions to 3x(SL(2,3)x7:3).2
],
[ # fusions to 3x11:20
],
[ # fusions to 3x(2x13).6
],
[ # fusions to 3x(2.A5xD10).2
],
[ # fusions to 2^(1+8)_+.2^5.S4(2)
],
[ # fusions to 2^3.(2x2^(1+3+3+3).L3(2))
],
[ # fusions to 2^(1+1+3+3).(2x2^(3+3).L3(2))
],
[ # fusions to 2^(1+1+2+4).(2x2^(2+4).S3^2)
],
[ # fusions to 2^10.2^3.2^3.S3
],
[ # fusions to 2^(1+8)_+.2^3.2^2.2^3.S3
],
[ # fusions to 2^(1+8)_+.2^2.2^2.2^4.S3
],
[ # fusions to 2^(1+8)_+.2^3.2^5.S3
],
[ # fusions to 3xD10
"3x2.D10", ],
[ # fusions to 2.SuzN2
],
[ # fusions to 2.G2(4)N2
],
[ # fusions to 3.3^5:(3^2:SD16)
],
[ # fusions to 3x2.SuzN2
],
[ # fusions to 2x3.3^5:(3^2:SD16)
],
[ # fusions to 2.(D8x3^(1+2)_+:Q8)
],
[ # fusions to 2.Fi22N2
],
[ # fusions to 3x2.Fi22N2
],
[ # fusions to (2^2x11:5).2
],
[ # fusions to 2^5:A6
],
[ # fusions to 3^4:S6
"3^4:A6", ],
[ # fusions to 3^4:3^2:D8
"3^4.3^2:4", ],
[ # fusions to S3x5:4
"2.(S3x5:4)", "(3xD10).2", ],
[ # fusions to 3^3:(S3x2)
"3^3:S3", "(3x3^3:S3):2", ],
[ # fusions to 3^3:S3
],
[ # fusions to 2^4:A4
"2.U4(2)N2", ],
[ # fusions to 2x7:6
"2x7:3", ],
[ # fusions to 5:4xS4
],
[ # fusions to (3x2.D10).2
"3x2.D10", ],
[ # fusions to 2.A8N3
"3^2:8", ],
[ # fusions to S6(2)N2
"Co3N2", ],
[ # fusions to 2x3^3:S3
],
[ # fusions to 2.U4(2)N2
],
[ # fusions to 2.(S3x5:4)
],
[ # fusions to 2x3^3:(S3x2)
],
[ # fusions to 2^6:S4a
],
[ # fusions to 2^6:S4b
],
[ # fusions to 2.[2^6].(2xS3)
],
[ # fusions to 3x2.D10
],
[ # fusions to (D10x2^3.L3(2)).2
],
[ # fusions to 7:3xS5
],
[ # fusions to 31:10
],
[ # fusions to 23:22
],
[ # fusions to 11:10xS3
],
[ # fusions to (7:3xA7):2
],
[ # fusions to (13:6xA4).2
"2.(13:6xA4).2", ],
[ # fusions to 5^3:(4x(2xA5).2)
],
[ # fusions to (D10xJ2).2
"2.(D10xJ2).2", ],
[ # fusions to 2^4:A4b
],
[ # fusions to 3^4.3^2:4
],
[ # fusions to 2^(4+8).(2xA4)
],
[ # fusions to 2^9.2^4.A5a
],
[ # fusions to 2^9.2^4.A5b
],
[ # fusions to 2^(4+8):(A4xS3)
],
[ # fusions to S6xD8
],
[ # fusions to (2^4:A4xA4).2
],
[ # fusions to (2x2^(1+8)_+).O8+(2)
],
[ # fusions to 2.2^(2+12):(A8xS3)
],
[ # fusions to 2.(A5wr2)
],
[ # fusions to (D10x2.(A5xA5).2).2
],
[ # fusions to (11:5xD12).2
],
[ # fusions to 2.(13:6xA4).2
],
[ # fusions to (7:3x2.A7):2
],
[ # fusions to 2.(D10xJ2).2
],
[ # fusions to 2x(7:3xL2(7)):2
],
[ # fusions to (7:3x2.L3(4).2).2
],
[ # fusions to (3^(1+2):8x2.A6).2
],
[ # fusions to 3^6:L4(3):2_2
],
[ # fusions to 3^(3+6):(L3(3)x2)
],
[ # fusions to 2^(1+6).3^(1+2).2S4
"S3x(3xSL(2,3)):2", "2^(1+4)_+.(S3x3^2:2)", "2x3^(1+2)_+:2S4",
"3^(1+8).2^(1+6).3^(1+2).2S4", ],
[ # fusions to L3(3)x2
"2x3^2.2.S4", "Fi23M8", ],
[ # fusions to (3xSL(2,3)):2
],
[ # fusions to S3x(3xSL(2,3)):2
],
[ # fusions to 2^(1+4)_+.(S3x3^2:2)
],
[ # fusions to A7xS3
"D8xS3", "2^3.S3", "2xA7", "S4xS3", "2^(6+8):(A7xS3)", ],
[ # fusions to D8xS3
],
[ # fusions to 2.2^4.(S3x3^2:2)
],
[ # fusions to 2.2^(4+12).(S3x3S6)
],
[ # fusions to 2x3^(1+4).2U4(2).2
],
[ # fusions to 3^(3+4):(2.S4)^2
],
[ # fusions to (2.A7xL2(7)).2
],
[ # fusions to (2.A6xU3(3)).2
],
[ # fusions to (2.A4x2.G2(4)).2
],
[ # fusions to 2.(A4xG2(4)).2
"(2.A4x2.G2(4)).2", ],
[ # fusions to (2.A5x2.J2).2
],
[ # fusions to 2.(A5xJ2).2
"(2.A5x2.J2).2", ],
[ # fusions to 2(S4xS4)
"S3x2.S4", "3^(3+4):2(S4xS4)", ],
[ # fusions to S3x2.S4
],
[ # fusions to 2^6:S7
"2^6:A7", ],
[ # fusions to S4xU3(3).2
],
[ # fusions to A8xS3
"2^3:L3(2)xS3", "2xA8", "2^(2+12):(A8xS3)", ],
[ # fusions to 2x2.M12
"2x2.A4xS3", "2^2x3^2.2.S4", "2x3^6:2.M12", ],
[ # fusions to 2x2.A4xS3
],
[ # fusions to 2^2x3^2.2.S4
],
[ # fusions to 2.S4x2.S4
"3^(3+4):(2.S4)^2", "2xS3x2.S4", ],
[ # fusions to 2x2.U4(2).2
"2x3^(1+4).2U4(2).2", "2x2.(3^3:(S4x2))", ],
[ # fusions to 2x2.(3^3:(S4x2))
],
[ # fusions to 2xS3x2.S4
],
[ # fusions to S3x3.S6
"2x3.S6", "2^(4+12).(S3x3S6)", ],
[ # fusions to 2x3.S6
],
[ # fusions to (D10xD10).2^2
],
[ # fusions to (3x3^3:S3):2
],
[ # fusions to (3x3^(1+2)+:2A4).2
],
[ # fusions to 2^12.(S3x3S6)
"2^(4+12).(S3x3S6)", ],
[ # fusions to 2^12.(2^2xD8)
],
[ # fusions to 2^(3+3+3).L3(2)
],
[ # fusions to NRS(O8+(2),2^(3+3+3)_a)
],
[ # fusions to NRS(O8+(2),2^(3+3+3)_b)
],
[ # fusions to O8+(2)N2
],
[ # fusions to 5:4xS6
],
[ # fusions to E6(2)
"F4(2)", "L3(8).3", ],
[ # fusions to F4(3)
],
[ # fusions to 2.Fi22
"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", "2xFi22N5", "5:4xS5x2", "2.Fi22N2", "6.Fi22",
"S10x2", "2.Fi22M13", "2x3^(3+3):L3(3)", "2x3^(3+3)b:L3(3)",
"(2^2x3).2E6(2)M8", "2xm12", "2^(1+5+8).(S3xA6)", "2x2F4(2)'", "2xO7(3)",
"2.Fi22M3", "S3x2.U4(3).2_2", "O8+(2):S3x2", "2.(2x2^(1+8)):U4(2):2",
"2.(3^(1+6):2^(3+4):3^2:2)", "2^2.2E6(2)M8", "2.Fi22M5", "S8(2)M3",
"2^2.U6(2)", ],
[ # fusions to 2.Fi22.2
"2.Fi22", "6.Fi22.2", "(S3x2.U4(3).2_2).2", ],
[ # fusions to Isoclinic(2.Fi22.2)
"Isoclinic(6.Fi22.2)", ],
[ # fusions to 3.Fi22
"2^(5+8):(S3x3.A6)", "2^(5+8):(2x3.A6)", "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",
"3xFi22N5", "3xS3x7:6", "6x11:5", "3x13:6", "6.Fi22", "2x6.Fi22",
"3xO8+(2):S3", "3x(2x2^(1+8)):U4(2):2", "3xA10.2", "3xM12", "3x2F4(2)'",
"3.Fi22M5", "3.O7(3)", "3.Fi22M3", "6.U6(2)", ],
[ # fusions to 3.Fi22.2
"3.Fi22", "6.Fi22.2", "Isoclinic(6.Fi22.2)", "3.(2x2^(1+8)):(U4(2):2x2)",
"(3x13:6).2", "6.U6(2).2", ],
[ # fusions to 6.Fi22
"S3x6_1.U4(3).2_2", "6x5:4xS5", "6xS3x7:6", "2x6x11:5", "2x3.Fi22N3",
"6xFi22N5", "6x13:6", "3x2.Fi22N2", "(2^2x3).2E6(2)M8", "2x3.O7(3)",
"6.Fi22M3", "6xO8+(2):S3", "6.Fi22M5", "(2^2x3).U6(2)", ],
[ # fusions to 6.Fi22.2
"6.Fi22", "(2^2x3).U6(2).2", ],
[ # fusions to Isoclinic(6.Fi22.2)
],
[ # fusions to Fi22
"A10.2", "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",
"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", "2.Fi22", "3.Fi22", "6.Fi22", "M12", "M22",
"3^5:U4(2):2", "3^(3+3):L3(3)", "3^(3+3)b:L3(3)", "2x6.Fi22",
"3^(1+6):2^(3+4):3^2:2", "5:4xS5", "2^(5+8):(S3xA6)", "S3xU4(3).2_2",
"(2x2^(1+8)):U4(2):2", "13:6", "2x2.Fi22", "2^10:m22", "2^6:s6f2", "f22s2",
"S3xU4(3)", "Fi22M3", "O7(3)", "O8+(2).2", "O8+(2).3.2", "Fi22N3",
"Fi22N5", "2x11:5", "S3x7:6", "2F4(2)'", "U4(3)", "U4(3).2_2", "2.U6(2)", ],
[ # fusions to Fi22.2
"G2(3).2", "2^7:S6(2)", "2xFi22N5", "5:4xS5x2", "2.Fi22.2",
"Isoclinic(2.Fi22.2)", "3.Fi22.2", "6.Fi22.2", "Isoclinic(6.Fi22.2)",
"Fi22", "M12.2", "3^(1+6)_+:2^(3+4):(S3xS3)", "S3xU4(3).(2^2)_{122}",
"O8+(2):S3x2", "(2x2^(1+8)):(U4(2):2x2)", "Fi22.2M4", "2^(5+8):(S3xS6)",
"3^5:(2xU4(2).2)", "2^2.Fi22.2", "13:12", "2F4(2)'.2", "2.U6(2).2", ],
[ # fusions to 3.F3+
"3.F3+N5", "3xF3+N7", "(3^(1+2)_+:2x13:6).2", "3x(D10xA9).2", "Fi23",
"3.2^(1+12).3U4(3).2", "3xFi23", ],
[ # fusions to 3.F3+.2
"3.F3+.2N7", "(3^(1+2):2^2xG2(3)):2", "3.F3+", "(S3x2.Fi22).2", ],
[ # fusions to F3+
"3^(1+10):U5(2):2", "(A4x11:5).2", "(3^2:2x13:6).2", "(D10xA9).2",
"2.Fi22.2", "3.F3+", "Fi23", "L2(13).2", "2^(3+12).(L3(2)xA6)",
"2^(6+8).(S3xA8)", "3^2.3^4.3^8.(A5x2A4).2", "23:11", "(3xO8+(3):3):2",
"(A4xO8+(2).3).2", "(A5xA9):2", "29:14", "7:6xA7", "A6xL2(8):3",
"2^(1+12).3_1.U4(3).2_2'", "3^3.[3^10].GL3(3)", "F3+M7",
"3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4", "(3^2:2xG2(3)).2", "3^7.O7(3)",
"O10-(2)", "F3+M14", "He.2", "7^(1+2):(S3x6)", "17:16", "F3+N5", "U3(3).2",
"2^2.U6(2).3.2", ],
[ # fusions to F3+.2
"3.F3+.2", "F3+", "3^7.O7(3):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", "2^12.M24", "frob",
"2^2.Fi22.2", "2xFi23", "3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)",
"O10-(2).2", "S4x5^2:4S4", ],
[ # fusions to Fi23
"A12.2", "2xFi22N5", "D8xS6(2)", "S3x13:6", "5:4xS7", "2.Fi22N2",
"(2^2x11:5).2", "3^6:L4(3):2_2", "2.Fi22", "L2(23)", "23:11",
"(2^2x2^(1+8)).(3xU4(2)).2", "2^(6+8):(A7xS3)",
"3^(1+8).2^(1+6).3^(1+2).2S4", "Fi23M8", "S3xO7(3)", "S4xS6(2)",
"2..11.m23", "O8+(3).3.2", "17:16", "7:6xA5.2", "Fi23N3", "S4(4).4",
"S8(2)", "2^2.U6(2).2", ],
[ # fusions to P1/G1/L1/V1/ext2
"A5", "P1/G1/L1/V1/ext6", "P1/G1/L1/V2/ext6", "2.(2^4:A5)", ],
[ # fusions to P1/G1/L1/V1/ext3
"P1/G1/L1/V1/ext6", ],
[ # fusions to P1/G1/L1/V1/ext4
],
[ # fusions to P1/G1/L1/V1/ext5
],
[ # fusions to P1/G1/L1/V1/ext6
],
[ # fusions to P1/G1/L1/V2/ext3
"P1/G1/L1/V2/ext6", ],
[ # fusions to P1/G1/L1/V2/ext6
],
[ # fusions to P1/G2/L1/V1/ext2
"4_1.2^4:A5", "4_2.2^4:A5", ],
[ # fusions to P1/G2/L1/V1/ext3
],
[ # fusions to P1/G2/L1/V1/ext4
],
[ # fusions to P1/G2/L1/V2/ext2
],
[ # fusions to P1/G2/L1/V2/ext4
],
[ # fusions to P1/G2/L2/V2/ext2
],
[ # fusions to P1/G2/L2/V2/ext4
],
[ # fusions to P1/G3/L2/V1/ext2
],
[ # fusions to P1/G3/L2/V1/ext3
],
[ # fusions to P11/G1/L1/V1/ext2
],
[ # fusions to P11/G1/L1/V1/ext3
],
[ # fusions to P11/G1/L1/V1/ext4
],
[ # fusions to P11/G1/L1/V2/ext2
],
[ # fusions to P11/G1/L1/V2/ext4
],
[ # fusions to P11/G1/L1/V3/ext2
],
[ # fusions to P11/G1/L1/V3/ext4
],
[ # fusions to P11/G2/L1/V1/ext2
],
[ # fusions to P11/G2/L1/V1/ext3
],
[ # fusions to P11/G2/L1/V2/ext2
],
[ # fusions to P11/G3/L1/V1/ext2
],
[ # fusions to P11/G3/L1/V1/ext3
],
[ # fusions to P11/G3/L1/V2/ext3
],
[ # fusions to P11/G3/L3/V1/ext2
],
[ # fusions to P11/G3/L3/V2/ext3
],
[ # fusions to P11/G3/L4/V2/ext2
],
[ # fusions to P11/G3/L4/V2/ext3
],
[ # fusions to P11/G3/L4/V3/ext2
],
[ # fusions to P11/G4/L1/V1/ext2
],
[ # fusions to P11/G4/L1/V1/ext3
],
[ # fusions to P12/G1/L2/V1/ext2
],
[ # fusions to P12/G1/L2/V1/ext3
],
[ # fusions to P13/G1/L2/V1/ext2
],
[ # fusions to P13/G1/L2/V1/ext3
],
[ # fusions to P13/G1/L6/V1/ext2
],
[ # fusions to P2/G1/L1/V1/ext2
],
[ # fusions to P2/G1/L1/V1/ext3
],
[ # fusions to P2/G2/L1/V1/ext2
],
[ # fusions to P2/G2/L1/V1/ext3
],
[ # fusions to P2/G2/L1/V2/ext2
],
[ # fusions to P21/G1/L1/V1/ext2
],
[ # fusions to P21/G1/L1/V1/ext3
],
[ # fusions to P21/G1/L1/V1/ext4
],
[ # fusions to P21/G1/L3/V2/ext3
],
[ # fusions to P21/G2/L1/V1/ext2
],
[ # fusions to P21/G2/L1/V2/ext2
],
[ # fusions to P21/G2/L1/V3/ext2
],
[ # fusions to P21/G2/L2/V1/ext2
],
[ # fusions to P21/G2/L2/V2/ext2
],
[ # fusions to P21/G2/L2/V3/ext2
],
[ # fusions to P21/G2/L5/V2/ext2
],
[ # fusions to P21/G3/L2/V1/ext2
],
[ # fusions to P21/G3/L5/V1/ext2
],
[ # fusions to P27/G1/L1/V1/ext2
],
[ # fusions to P27/G1/L1/V1/ext3
],
[ # fusions to P27/G1/L1/V1/ext4
],
[ # fusions to P31/G1/L1/V1/ext2
"(2x2^(1+6)_+).A8", ],
[ # fusions to P31/G1/L1/V1/ext3
"A8", ],
[ # fusions to P41/G1/L1/V1/ext2
],
[ # fusions to P41/G1/L1/V1/ext3
],
[ # fusions to P41/G1/L1/V2/ext2
],
[ # fusions to P41/G1/L1/V3/ext3
],
[ # fusions to P41/G1/L1/V4/ext2
],
[ # fusions to P41/G1/L1/V4/ext3
],
[ # fusions to P41/G2/L1/V1/ext2
],
[ # fusions to P41/G2/L1/V1/ext3
],
[ # fusions to P43/G1/L1/V1/ext2
],
[ # fusions to P43/G2/L1/V1/ext2
],
[ # fusions to P43/G3/L1/V1/ext2
],
[ # fusions to P43/G3/L1/V2/ext2
],
[ # fusions to P48/G1/L1/V1/ext2
],
[ # fusions to P48/G1/L1/V2/ext2
],
[ # fusions to P49/G1/L1/V1/ext2
],
[ # fusions to P49/G1/L1/V1/ext3
"U3(3)", ],
[ # fusions to P49/G1/L1/V2/ext3
],
[ # fusions to P50/G1/L1/V1/ext2
],
[ # fusions to P50/G1/L1/V1/ext3
],
[ # fusions to P50/G1/L1/V1/ext4
],
[ # fusions to S3
"[2^9].S3a", "NRS(M24,[2^9]a)", "[2^9].S3b", "NRS(M24,[2^9]b)", "S3x5:4",
"3^3:S3", "(3x2.D10).2", "(3x3^3:S3):2", "(3x3^(1+2)+:2A4).2", "2.S3",
"C3", "3^2:2", "(A4x3):2", "(A5x3):2", "D114", "(A10x3):2", "(2.A4x3).2",
"(2.A5x3).2", "(2.A6x3).2_1", "(A7x3).2", "(2.A7x3).2", "(A8x3).2",
"(2.A8x3).2", "(A9x3):2", "(2.A9x3).2", "(S5xS5xS5):S3", "(2^4:S5x3).2",
"(3xL3(4).2_2).2", "(3xL2(16):2).2", "(3xG2(3)):2", "3^5:2S6",
"(3xG2(4)).2", "(3xU5(2)).2", "(3x2^(1+6)_-.U4(2)).2", "(3x2^(4+6):3A6).2",
"(3x2^(2+8):(A5xS3)).2", "(3xL2(25)).2_2", "(3xO8+(3):3):2",
"(S3x2.U4(3).2_2).2", "3.(2x2^(1+8)):(U4(2):2x2)", "(3xM10):2", "j3m6",
"(3xO8-(2)):2", "(S3x2.Fi22).2", "D24", "bd6", "D120", "(3xA6).2_1",
"1/2(8xS3)", "(2^2x3).2", "(3xD10).2", "(3x13:6).2", ],
[ # fusions to 2.S3
],
[ # fusions to Symm(4)
"2.Symm(4)", "(A4x3):2", "2^4:(3x3):2", "(A9xA4):2", "3x2.Symm(4)",
"(A6xA4).2", "(A7xA4):2", "(A8xA4):2", "(A4xL3(4):2_3):2",
"(A4x3.L3(4)).2", "(A4x3.L3(4).2_3).2", "(A4xG2(4)):2", "(A4xO8+(2).3).2",
"(A4xA5):2", "(A4xU4(2)):2", "a4", "(A4xD10).2", "F3+N5", ],
[ # fusions to 2.Symm(4)
"(SL(2,3)x7:3).2", "(2.A4x3).2", "2.L2(3)", ],
[ # fusions to D8
"6.A6N2", "(2^2x11:5).2", "2.D8", "C4", "(4xA6):2", "(2^2xA5):2",
"(2^2xF4(2)):2", "D24", "D120", "V4", "(2^2x3).2", "2.HSN3", "BN7", ],
[ # fusions to 2.D8
"6.A6N2", ],
[ # fusions to D10
"3x2.D10", "D110", "bd10", "D120", ],
[ # fusions to 7:3
"12x7:3", "2x7:3", ],
[ # fusions to 2x7:3
"12x7:3", "4x7:3", "6x7:3", "7:3", ],
[ # fusions to C2
],
[ # fusions to C3
"3xIsoclinic(2x5:8)", "3x2.M22N2", ],
[ # fusions to C4
"(2xA6).2_3", "Isoclinic(3.A6.2_3x2)", "2.S3", "Isoclinic(L2(25).2_3x2)",
"Isoclinic(L2(49).2_3x2)", "Isoclinic(L2(81).2_3x2)", "6.M22M7", "2.RuM1",
"(2xL3(3)).2", "Isoclinic(S8x2)", "Isoclinic(U3(5).2x2)", "2.HSM3",
"(2x3.A6).2", "(2xL3(2)).2", "2.J2M8", "bd10", "bd6", "(2x3^(1+2)_+:8):2", ],
[ # fusions to C6
],
[ # fusions to 3^2:2
"3^(1+2)_+:2", ],
[ # fusions to 3^(1+2)_+:2
],
[ # fusions to 3^2:4
"(3^2:2x13:6).2", "3^2:2", "3^(1+2):4", "3^2:8", "6.A6M3",
"(3^2:2xG2(3)).2", ],
[ # fusions to 2^3.S3
],
[ # fusions to 2^3.D8
],
[ # fusions to 2^3.S4v1
],
[ # fusions to 2^3.S4v2
],
[ # fusions to 2xSymm(4)
"s4", ],
[ # fusions to D8x2
"D8", ],
[ # fusions to 2^2:S4
],
[ # fusions to (A4x3):2
"NDG(12.M22,3^2)", "2x3.(A4x3):2", "Isoclinic(2x(2.A4x3).2)", "(2.A4x3).2",
"3.(A4x3):2", "6.(A4x3).2", ],
[ # fusions to S3x2
"3^3:(S3x2)", "S3", "2.D12", ],
[ # fusions to (A5x3):2
"(2.A5x3).2", "2^4:(3xA5).2", "(A4xA5):2", ],
[ # fusions to 2^4:(3x3):2
],
[ # fusions to 2^3:7
],
[ # fusions to 2^3
],
[ # fusions to S3xS3
"2^(2+2+4).(S3xS3)", "NRS(M24,2^(2+2+4)a)", "NRS(M24,2^(4+4))", ],
[ # fusions to 3^(1+2):4
"(3^(1+2)_+:2x13:6).2", "3^(1+2)_+:2", "6.A6M3", ],
[ # fusions to 4^2:3
],
[ # fusions to 3^2
"3^(1+2)_+", ],
[ # fusions to 3^(1+2)_+
],
[ # fusions to 2.2^4:3
],
[ # fusions to 2.L2(11)
"2.A5", "2.D12", "2x11:5", ],
[ # fusions to 2.L2(11).2
"2.L2(11)", ],
[ # fusions to Isoclinic(2.L2(11).2)
],
[ # fusions to 2.L2(13)
"2.D12", "2.D14", "(2x13).6", "2.L2(3)", ],
[ # fusions to 2.L2(13).2
"2.L2(13)", ],
[ # fusions to Isoclinic(2.L2(13).2)
],
[ # fusions to 2.L2(17)
"2.Symm(4)", "2.D16", "2.D18", "(2x17).8", ],
[ # fusions to 2.L2(17).2
"2.L2(17)", ],
[ # fusions to Isoclinic(2.L2(17).2)
],
[ # fusions to 2.L2(19)
"2.A5", "2.D18", "2.D20", "2x19:9", ],
[ # fusions to 2.L2(19).2
"2.L2(19)", ],
[ # fusions to Isoclinic(2.L2(19).2)
],
[ # fusions to 2.L2(23)
"2.Symm(4)", "2.D22", "2.D24", "2x23:11", ],
[ # fusions to 2.L2(23).2
"2.L2(23)", ],
[ # fusions to Isoclinic(2.L2(23).2)
],
[ # fusions to 2.L2(25)
"Isoclinic(2.A5.2)", "2.D24", "2.D26", "(2x5^2).12", "2.L2(25)M3", ],
[ # fusions to 2.L2(25).2_1
"2.L2(25)", ],
[ # fusions to Isoclinic(2.L2(25).2_1)
],
[ # fusions to 2.L2(25).2_2
"2.L2(25)", "5^4:(3x2.L2(25)).2", ],
[ # fusions to Isoclinic(2.L2(25)x2)
],
[ # fusions to Isoclinic(L2(25).2_3x2)
"4.L2(25).2_3", ],
[ # fusions to 4.L2(25).2_3
"Isoclinic(2.L2(25)x2)", ],
[ # fusions to 2.L2(27)
"2.D26", "2.D28", "2x3^3:13", "2.L2(3)", ],
[ # fusions to 2.L2(27).2
"2.L2(27)", ],
[ # fusions to Isoclinic(2.L2(27).2)
],
[ # fusions to 2.L2(27).3
"2.L2(27)", ],
[ # fusions to 2.L2(27).6
"2.L2(27)", "2.L2(27).2", "2.L2(27).3", ],
[ # fusions to Isoclinic(2.L2(27).6)
],
[ # fusions to 2.L2(29)
"2.A5", "2.D28", "2.D30", "(2x29).14", ],
[ # fusions to 2.L2(29).2
"2.L2(29)", ],
[ # fusions to Isoclinic(2.L2(29).2)
],
[ # fusions to 2.L2(31)
"2.A5", "2.Symm(4)", "2.D30", "2.D32", "2x31:15", ],
[ # fusions to 2.L2(31).2
"2.L2(31)", ],
[ # fusions to Isoclinic(2.L2(31).2)
],
[ # fusions to J3M3
],
[ # fusions to L2(11)
"A5", "P43/G1/L1/V1/ext2", "P43/G2/L1/V1/ext2", "P43/G3/L1/V1/ext2",
"P43/G3/L1/V2/ext2", "S3x2", "2.L2(11)", "2.(2xL2(11))", "11:5", ],
[ # fusions to L2(11).2
"2.L2(11).2", "Isoclinic(2.L2(11).2)", "L2(11)", "(L2(11)xM12):2", "11:10",
"D24", "D20", "s4", ],
[ # fusions to L2(121)M3
],
[ # fusions to M12.2M3
],
[ # fusions to U3(11)M4
],
[ # fusions to U3(11)M5
],
[ # fusions to L2(13)
"S3x2", "2.L2(13)", "D14", "13:6", "a4", ],
[ # fusions to L2(13).2
"2.L2(13).2", "Isoclinic(2.L2(13).2)", "L2(13)", "Isoclinic(L2(13).2x2)",
"s4", ],
[ # fusions to L2(16)
"A5", ],
[ # fusions to L2(16).2
"L2(16)", "2xA5", "D6xD10", ],
[ # fusions to S4(4)M4
],
[ # fusions to L2(16).4
"L2(16)", "L2(16).2", "(3xL2(16):2).2", ],
[ # fusions to S4(4).2M5
],
[ # fusions to L2(17)
"2.L2(17)", "D16", "D18", "s4", "17:8", ],
[ # fusions to L2(17).2
"2.L2(17).2", "Isoclinic(2.L2(17).2)", "L2(17)", "17:16", ],
[ # fusions to L2(19)
"A5", "2.L2(19)", "D18", "D20", "19:9", ],
[ # fusions to L2(19).2
"2.L2(19).2", "Isoclinic(2.L2(19).2)", "L2(19)", "19:18", ],
[ # fusions to L2(23)
"2.L2(23)", "D22", "23:11", "D24", "s4", ],
[ # fusions to L2(23).2
"23:22", "2.L2(23).2", "Isoclinic(2.L2(23).2)", "L2(23)", ],
[ # fusions to L2(25)
"A5.2", "2.L2(25)", "D26", "5^2:12", "L2(25)M3", "D24", ],
[ # fusions to L2(25).2^2
"L2(25).2_1", "L2(25).2_2", "L2(25).2_3", "L2(25).(2x4)", ],
[ # fusions to L2(25).2_1
"2.L2(25).2_1", "Isoclinic(2.L2(25).2_1)", "L2(25)", ],
[ # fusions to L2(25).2_2
"2.L2(25).2_2", "L2(25)", "2xS5", "(3xL2(25)).2_2", "5^2:(4xS3)", "13:4", ],
[ # fusions to L2(25).2_3
"Isoclinic(L2(25).2_3x2)", "4.L2(25).2_3", "L2(25)", ],
[ # fusions to L2(27)
"2.L2(27)", "D26", "D28", "3^3:13", "a4", ],
[ # fusions to L2(27).2
"2.L2(27).2", "Isoclinic(2.L2(27).2)", "L2(27)", ],
[ # fusions to L2(27).3
"2.L2(27).3", "L2(27)", ],
[ # fusions to L2(27).6
"2.L2(27).6", "Isoclinic(2.L2(27).6)", "L2(27)", "L2(27).2", "L2(27).3", ],
[ # fusions to L2(29)
"A5", "2.L2(29)", "D28", "D30", "29:14", ],
[ # fusions to L2(29).2
"2.L2(29).2", "Isoclinic(2.L2(29).2)", "L2(29)", "frob", ],
[ # fusions to L2(31)
"A5", "Symm(4)", "2.L2(31)", "D30", "D32", "31:15", ],
[ # fusions to L2(31).2
"2.L2(31).2", "Isoclinic(2.L2(31).2)", "L2(31)", ],
[ # fusions to L2(32)
"D62", ],
[ # fusions to L2(32).5
"L2(32)", ],
[ # fusions to L2(8)
"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", "2^3:7", "D14", "D18", ],
[ # fusions to L2(8).3
"L2(8)", "9:6", "7:6", "(7xL2(8)).3", "2^3.7.3", ],
[ # fusions to A9M5
],
[ # fusions to ONM8
],
[ # fusions to 2.L2(49)
],
[ # fusions to 2.L2(49).2_1
"2.L2(49)", ],
[ # fusions to Isoclinic(2.L2(49).2_1)
],
[ # fusions to 2.L2(49).2_2
"2.L2(49)", ],
[ # fusions to Isoclinic(2.L2(49)x2)
],
[ # fusions to Isoclinic(L2(49).2_3x2)
"4.L2(49).2_3", ],
[ # fusions to 4.L2(49).2_3
"Isoclinic(2.L2(49)x2)", ],
[ # fusions to 2.L2(81)
],
[ # fusions to 2.L2(81).2_1
"2.L2(81)", ],
[ # fusions to 2.L2(81).2_2
"2.L2(81)", ],
[ # fusions to Isoclinic(2.L2(81).2_2)
],
[ # fusions to Isoclinic(2.L2(81)x2)
],
[ # fusions to Isoclinic(L2(81).2_3x2)
"4.L2(81).2_3", ],
[ # fusions to 4.L2(81).2_3
"Isoclinic(2.L2(81)x2)", ],
[ # fusions to 2.L2(81).4_1
"2.L2(81)", "2.L2(81).2_1", ],
[ # fusions to 4.L2(81).4_2
"Isoclinic(2.L2(81)x2)", ],
[ # fusions to L2(49)
"2.L2(49)", "7^2:24", ],
[ # fusions to L2(49).2_1
"2.L2(49).2_1", "Isoclinic(2.L2(49).2_1)", "L2(49)", ],
[ # fusions to L2(49).2_2
"2.L2(49).2_2", "L2(49)", ],
[ # fusions to L2(49).2_3
"Isoclinic(L2(49).2_3x2)", "4.L2(49).2_3", "L2(49)", ],
[ # fusions to L2(49).2^2
"L2(49).2_1", "L2(49).2_2", "L2(49).2_3", ],
[ # fusions to L2(81)
"2.L2(81)", "3^4:40", ],
[ # fusions to L2(81).2_1
"2.L2(81).2_1", "L2(81)", ],
[ # fusions to L2(81).2_2
"2.L2(81).2_2", "Isoclinic(2.L2(81).2_2)", "L2(81)", ],
[ # fusions to L2(81).2_3
"Isoclinic(L2(81).2_3x2)", "4.L2(81).2_3", "L2(81)", ],
[ # fusions to L2(81).2^2
"L2(81).2_1", "L2(81).2_2", "L2(81).2_3", ],
[ # fusions to L2(81).4_1
"2.L2(81).4_1", "L2(81)", "L2(81).2_1", ],
[ # fusions to L2(81).4_2
"4.L2(81).4_2", "L2(81)", "L2(81).2_1", ],
[ # fusions to L2(81).(2x4)
"L2(81).2^2", "L2(81).4_1", "L2(81).4_2", ],
[ # fusions to 12_1.L3(4)
"12.M22N3", "(2x12).L3(4)", "3x4_1.2^4:A5", ],
[ # fusions to 12_1.L3(4).2_1
"12_1.L3(4)", ],
[ # fusions to Isoclinic(12_1.L3(4).2_1)
],
[ # fusions to 12_1.L3(4).2_2
"12_1.L3(4)", ],
[ # fusions to Isoclinic(12_1.L3(4).2_2)
],
[ # fusions to 12_1.L3(4).2_3
"12_1.L3(4)", ],
[ # fusions to 12_2.L3(4)
"(2x12).L3(4)", "3x4_2.2^4:A5", ],
[ # fusions to 12_2.L3(4).2_1
"12_2.L3(4)", ],
[ # fusions to Isoclinic(12_2.L3(4).2_1)
],
[ # fusions to 12_2.L3(4).2_2
"12_2.L3(4)", ],
[ # fusions to 12_2.L3(4).2_3
"12_2.L3(4)", ],
[ # fusions to Isoclinic(12_2.L3(4).2_3)
],
[ # fusions to 2.L3(4)
"P1/G2/L1/V1/ext2", "12_1.L3(4)", "12_2.L3(4)", "2^2.L3(4)", "4_1.L3(4)",
"4_2.L3(4)", "6.L3(4)", "(2^2x3).L3(4)", "2xA6", "2.L3(4)M4", "2.L3(4)M5",
"2xL3(2)", "2.L3(4)M7", "2.L3(4)M8", "Isoclinic(2x3^2:Q8)", ],
[ # fusions to 2.L3(4).2_1
"12_1.L3(4).2_1", "Isoclinic(12_1.L3(4).2_1)", "12_2.L3(4).2_1",
"Isoclinic(12_2.L3(4).2_1)", "2.L3(4)", "4_1.L3(4).2_1", "4_2.L3(4).2_1",
"6.L3(4).2_1", "2^2.L3(4).2_1", ],
[ # fusions to Isoclinic(2.L3(4).2_1)
"2.L3(4)", "Isoclinic(6.L3(4).2_1)", ],
[ # fusions to 2.L3(4).2_2
"12_1.L3(4).2_2", "12_2.L3(4).2_2", "2.L3(4)", "4_1.L3(4).2_2",
"4_2.L3(4).2_2", "6.L3(4).2_2", "(2^2x3).L3(4).2_2", "2^2.L3(4).2_2", ],
[ # fusions to Isoclinic(2.L3(4).2_2)
"2.L3(4)", "4_2.L3(4).2_2*", ],
[ # fusions to 2.L3(4).2_3
"12_1.L3(4).2_3", "12_2.L3(4).2_3", "2.L3(4)", "4_1.L3(4).2_3",
"4_2.L3(4).2_3", "6.L3(4).2_3", "(2^2x3).L3(4).2_3", "2^2.L3(4).2_3", ],
[ # fusions to Isoclinic(2.L3(4).2_3)
"2.L3(4)", "4_1.L3(4).2_3*", ],
[ # fusions to 2.L3(4).(2^2)_{123}
"(7:3x2.L3(4).2).2", "2.L3(4).2_1", "2.L3(4).2_2", "2.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)_{1*2*3}",
"4_2.L3(4).(2^2)_{123}", "4_2.L3(4).(2^2)_{1*23}",
"4_2.L3(4).(2^2)_{123*}", "4_2.L3(4).(2^2)_{1*23*}", "6.L3(4).(2^2)_{123}",
"2^2.L3(4).2^2", ],
[ # fusions to 2.L3(4).(2^2)_{1*23}
"Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2", "2.L3(4).2_3",
"6.L3(4).(2^2)_{1*23}", ],
[ # fusions to 2.L3(4).(2^2)_{12*3}
"2.L3(4).2_1", "Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3",
"4_2.L3(4).(2^2)_{12*3}", "4_2.L3(4).(2^2)_{1*2*3}",
"4_2.L3(4).(2^2)_{12*3*}", "4_2.L3(4).(2^2)_{1*2*3*}",
"6.L3(4).(2^2)_{12*3}", ],
[ # fusions to 2.L3(4).(2^2)_{123*}
"2.L3(4).2_1", "2.L3(4).2_2", "Isoclinic(2.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)_{1*2*3*}",
"6.L3(4).(2^2)_{123*}", ],
[ # fusions to 2.L3(4).(2^2)_{1*2*3}
"Isoclinic(2.L3(4).2_1)", "Isoclinic(2.L3(4).2_2)", "2.L3(4).2_3",
"6.L3(4).(2^2)_{1*2*3}", ],
[ # fusions to 2.L3(4).(2^2)_{1*23*}
"Isoclinic(2.L3(4).2_1)", "2.L3(4).2_2", "Isoclinic(2.L3(4).2_3)",
"6.L3(4).(2^2)_{1*23*}", ],
[ # fusions to 2.L3(4).(2^2)_{12*3*}
"2.L3(4).2_1", "Isoclinic(2.L3(4).2_2)", "Isoclinic(2.L3(4).2_3)",
"6.L3(4).(2^2)_{12*3*}", ],
[ # fusions to 2.L3(4).(2^2)_{1*2*3*}
"Isoclinic(2.L3(4).2_1)", "Isoclinic(2.L3(4).2_2)",
"Isoclinic(2.L3(4).2_3)", "6.L3(4).(2^2)_{1*2*3*}", ],
[ # fusions to 2^2.L3(4)
"P1/G3/L2/V1/ext2", "(2x4).L3(4)", "(2^2x3).L3(4)", "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",
"2^2.(3^2:Q8)", ],
[ # fusions to (2x4).L3(4)
"4^2.L3(4)", "(2x12).L3(4)", ],
[ # fusions to 4^2.L3(4)
],
[ # fusions to (4^2x3).L3(4)
],
[ # fusions to 3.L3(4)
"3.A6", "12_1.L3(4)", "12_2.L3(4)", "6.L3(4)", "(2^2x3).L3(4)", "3x2^4:A5",
"3.L3(4)M4", "3.L3(4)M5", "3.L3(4)M7", "3.L3(4)M8", "3^(1+2)_+:Q8",
"3xL3(2)", "3.U6(2)M3", "6.U6(2)M3", "(2^2x3).U6(2)M3", ],
[ # fusions to 3.L3(4).2^2
"3.L3(4).2_1", "3.L3(4).2_2", "3.L3(4).2_3", "(A4x3.L3(4).2_3).2", ],
[ # fusions to 3.L3(4).2_1
"12_1.L3(4).2_1", "12_2.L3(4).2_1", "3.L3(4)", "6.L3(4).2_1",
"(A4x3.L3(4)).2", ],
[ # fusions to 3.L3(4).2_2
"12_1.L3(4).2_2", "12_2.L3(4).2_2", "3.L3(4)", "6.L3(4).2_2",
"(2^2x3).L3(4).2_2", ],
[ # fusions to 3.L3(4).2_3
"12_1.L3(4).2_3", "12_2.L3(4).2_3", "3.L3(4)", "6.L3(4).2_3",
"Isoclinic(6.L3(4).2_3)", "(2^2x3).L3(4).2_3", ],
[ # fusions to 3.L3(4).3
"3.L3(4)", "(2^2x3).L3(4).3", ],
[ # fusions to Isoclinic(3.L3(4).3,1)
],
[ # fusions to Isoclinic(3.L3(4).3,2)
],
[ # fusions to 3.L3(4).6
"3.L3(4)", "3.L3(4).2_1", "3.L3(4).3", ],
[ # fusions to Isoclinic(3.L3(4).6,1)
],
[ # fusions to Isoclinic(3.L3(4).6,2)
],
[ # fusions to 4_1.L3(4)
"12_1.L3(4)", "(2x4).L3(4)", "4_1.2^4:A5", ],
[ # fusions to 4_1.L3(4).2_1
"12_1.L3(4).2_1", "4_1.L3(4)", ],
[ # fusions to Isoclinic(4_1.L3(4).2_1)
"4_1.L3(4)", ],
[ # fusions to 4_1.L3(4).2_2
"12_1.L3(4).2_2", "4_1.L3(4)", ],
[ # fusions to Isoclinic(4_1.L3(4).2_2)
"4_1.L3(4)", ],
[ # fusions to 4_1.L3(4).2_3
"12_1.L3(4).2_3", "4_1.L3(4)", ],
[ # fusions to 4_1.L3(4).2_3*
"4_1.L3(4)", ],
[ # fusions to 4_1.L3(4).(2^2)_{123}
"4_1.L3(4).2_1", "4_1.L3(4).2_2", "4_1.L3(4).2_3", ],
[ # fusions to 4_1.L3(4).(2^2)_{1*23}
"Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2", "4_1.L3(4).2_3", ],
[ # fusions to 4_1.L3(4).(2^2)_{12*3}
"4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", ],
[ # fusions to 4_1.L3(4).(2^2)_{123*}
"4_1.L3(4).2_1", "4_1.L3(4).2_2", "4_1.L3(4).2_3*", ],
[ # fusions to 4_1.L3(4).(2^2)_{1*2*3}
"Isoclinic(4_1.L3(4).2_1)", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3", ],
[ # fusions to 4_1.L3(4).(2^2)_{1*23*}
"Isoclinic(4_1.L3(4).2_1)", "4_1.L3(4).2_2", "4_1.L3(4).2_3*", ],
[ # fusions to 4_1.L3(4).(2^2)_{12*3*}
"4_1.L3(4).2_1", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3*", ],
[ # fusions to 4_1.L3(4).(2^2)_{1*2*3*}
"Isoclinic(4_1.L3(4).2_1)", "Isoclinic(4_1.L3(4).2_2)", "4_1.L3(4).2_3*", ],
[ # fusions to 4_2.L3(4)
"12_2.L3(4)", "(2x4).L3(4)", "4_2.2^4:A5", ],
[ # fusions to 4_2.L3(4).2_1
"12_2.L3(4).2_1", "4_2.L3(4)", ],
[ # fusions to Isoclinic(4_2.L3(4).2_1)
"4_2.L3(4)", ],
[ # fusions to 4_2.L3(4).2_2
"12_2.L3(4).2_2", "4_2.L3(4)", ],
[ # fusions to 4_2.L3(4).2_2*
"4_2.L3(4)", ],
[ # fusions to 4_2.L3(4).2_3
"12_2.L3(4).2_3", "4_2.L3(4)", ],
[ # fusions to Isoclinic(4_2.L3(4).2_3)
"4_2.L3(4)", ],
[ # fusions to 4_2.L3(4).(2^2)_{123}
"4_2.L3(4).2_1", "4_2.L3(4).2_2", "4_2.L3(4).2_3", ],
[ # fusions to 4_2.L3(4).(2^2)_{1*23}
"Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2", "4_2.L3(4).2_3", ],
[ # fusions to 4_2.L3(4).(2^2)_{12*3}
"4_2.L3(4).2_1", "4_2.L3(4).2_2*", "4_2.L3(4).2_3", ],
[ # fusions to 4_2.L3(4).(2^2)_{123*}
"4_2.L3(4).2_1", "4_2.L3(4).2_2", "Isoclinic(4_2.L3(4).2_3)", ],
[ # fusions to 4_2.L3(4).(2^2)_{1*2*3}
"Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2*", "4_2.L3(4).2_3", ],
[ # fusions to 4_2.L3(4).(2^2)_{1*23*}
"Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2", "Isoclinic(4_2.L3(4).2_3)", ],
[ # fusions to 4_2.L3(4).(2^2)_{12*3*}
"4_2.L3(4).2_1", "4_2.L3(4).2_2*", "Isoclinic(4_2.L3(4).2_3)", ],
[ # fusions to 4_2.L3(4).(2^2)_{1*2*3*}
"Isoclinic(4_2.L3(4).2_1)", "4_2.L3(4).2_2*", "Isoclinic(4_2.L3(4).2_3)", ],
[ # fusions to 6.L3(4)
"12_1.L3(4)", "12_2.L3(4)", "(2^2x3).L3(4)", "3x2^5.A5", "6xL3(2)",
"6.L3(4)M7", "6.L3(4)M8", "Isoclinic(2x3^(1+2)_+:Q8)", ],
[ # fusions to 6.L3(4).2_1
"12_1.L3(4).2_1", "12_2.L3(4).2_1", "6.L3(4)", "(2^2x3).L3(4).2_1", ],
[ # fusions to Isoclinic(6.L3(4).2_1)
"6.L3(4)", ],
[ # fusions to 6.L3(4).2_2
"12_1.L3(4).2_2", "Isoclinic(12_1.L3(4).2_2)", "12_2.L3(4).2_2", "6.L3(4)",
"(2^2x3).L3(4).2_2", "(2x3^(1+2)_+:8):2", ],
[ # fusions to Isoclinic(6.L3(4).2_2)
"6.L3(4)", ],
[ # fusions to 6.L3(4).2_3
"12_1.L3(4).2_3", "12_2.L3(4).2_3", "Isoclinic(12_2.L3(4).2_3)", "6.L3(4)",
"(2^2x3).L3(4).2_3", ],
[ # fusions to Isoclinic(6.L3(4).2_3)
"6.L3(4)", ],
[ # fusions to 6.L3(4).(2^2)_{123}
"6.L3(4).2_1", "6.L3(4).2_2", "6.L3(4).2_3", ],
[ # fusions to 6.L3(4).(2^2)_{1*23}
"Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2", "6.L3(4).2_3", ],
[ # fusions to 6.L3(4).(2^2)_{12*3}
"6.L3(4).2_1", "Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", ],
[ # fusions to 6.L3(4).(2^2)_{123*}
"6.L3(4).2_1", "6.L3(4).2_2", "Isoclinic(6.L3(4).2_3)", ],
[ # fusions to 6.L3(4).(2^2)_{1*2*3}
"Isoclinic(6.L3(4).2_1)", "Isoclinic(6.L3(4).2_2)", "6.L3(4).2_3", ],
[ # fusions to 6.L3(4).(2^2)_{1*23*}
"Isoclinic(6.L3(4).2_1)", "6.L3(4).2_2", "Isoclinic(6.L3(4).2_3)", ],
[ # fusions to 6.L3(4).(2^2)_{12*3*}
"6.L3(4).2_1", "Isoclinic(6.L3(4).2_2)", "Isoclinic(6.L3(4).2_3)", ],
[ # fusions to 6.L3(4).(2^2)_{1*2*3*}
"Isoclinic(6.L3(4).2_1)", "Isoclinic(6.L3(4).2_2)",
"Isoclinic(6.L3(4).2_3)", ],
[ # fusions to (2x12).L3(4)
"(4^2x3).L3(4)", ],
[ # fusions to L3(4)
"A6", "2^4:A4b", "D10", "7:3", "12_1.L3(4)", "12_2.L3(4)", "2.L3(4)",
"2^2.L3(4)", "3.L3(4)", "4_1.L3(4)", "4_2.L3(4)", "6.L3(4)",
"(2^2x3).L3(4)", "L3(2)", "2^4:A5", "L3(4)M4", "L3(4)M5", "L3(4)M7",
"L3(4)M8", "L3(4)Syl2", "2^9.L3(4)", "2.U6(2)M3", "2^2.U6(2)M3", "3^2:Q8", ],
[ # fusions to L3(4).2^2
"A6.2^2", "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*}",
"3.L3(4).2^2", "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).(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*}", "L3(4).2_1",
"L3(4).2_2", "L3(4).2_3", "2^2.L3(4).2^2", "(3xL3(4).2_2).2", "2xS5",
"(A4xL3(4):2_3):2", "(S6xL3(4).2).2", ],
[ # fusions to U4(3).(2^2)_{133}M6
],
[ # fusions to L3(4).2_1
"A5.2", "A6.2_3", "12_1.L3(4).2_1", "12_2.L3(4).2_1", "2.L3(4).2_1",
"Isoclinic(2.L3(4).2_1)", "3.L3(4).2_1", "4_1.L3(4).2_1", "4_2.L3(4).2_1",
"6.L3(4).2_1", "L3(4)", "2^2.L3(4).2_1", "L3(2).2", "(a4xpsl(3,4)):2",
"7:6", "5:4", ],
[ # fusions to L3(4).2_2
"A6.2_1", "12_1.L3(4).2_2", "12_2.L3(4).2_2", "2.L3(4).2_2", "3.L3(4).2_2",
"4_1.L3(4).2_2", "4_2.L3(4).2_2", "6.L3(4).2_2", "L3(4)",
"(2^2x3).L3(4).2_2", "2^2.L3(4).2_2", "2^4:s5", "3^2:Q8.2", "5:4", ],
[ # fusions to L3(4).2_3
"A6.2_2", "12_1.L3(4).2_3", "12_2.L3(4).2_3", "2.L3(4).2_3", "3.L3(4).2_3",
"4_1.L3(4).2_3", "4_2.L3(4).2_3", "6.L3(4).2_3", "L3(4)",
"(2^2x3).L3(4).2_3", "2^2.L3(4).2_3", "L3(2).2", "2xA5", "7:6", "3^2:Q8.2", ],
[ # fusions to L3(4).3
"3.L3(4).3", "Isoclinic(3.L3(4).3,1)", "Isoclinic(3.L3(4).3,2)", "L3(4)",
"(2^2x3).L3(4).3", "2^2.L3(4).3", "3^2:2A4", "j3m4", ],
[ # fusions to L3(4).3.2_2
"L3(4).2_2", "L3(4).3", "2^2.L3(4).3.2_2", "3.L3(4).3.2_2", "2^4:(3xA5).2",
"2^2.psl(3,4).s3", ],
[ # fusions to L3(4).3.2_3
"L3(4).2_3", "L3(4).3", "2^2.L3(4).3.2_3", "3.L3(4).3.2_3", ],
[ # fusions to L3(4).6
"3.L3(4).6", "Isoclinic(3.L3(4).6,1)", "Isoclinic(3.L3(4).6,2)", "L3(4)",
"L3(4).2_1", "L3(4).3", "2^2.L3(4).6", "2^2+4.3xs3", ],
[ # fusions to L3(4).D12
"L3(4).2^2", "L3(4).3.2_2", "L3(4).3.2_3", "L3(4).6", "2^2.L3(4).D12",
"S5xS3", "2x3^2.2.S4", "2^(2+4):(S3xS3)", "S3x7:6", ],
[ # fusions to (2^2x3).L3(4)
"(2x12).L3(4)", ],
[ # fusions to (2^2x3).L3(4).2_1
],
[ # fusions to (2^2x3).L3(4).2_2
"(2^2x3).L3(4)", ],
[ # fusions to (2^2x3).L3(4).2_3
"(2^2x3).L3(4)", ],
[ # fusions to (2^2x3).L3(4).3
"(2^2x3).L3(4)", ],
[ # fusions to 2^2.L3(4).2_1
"2^2.L3(4)", ],
[ # fusions to 2^2.L3(4).2_2
"2^2.L3(4)", "(2^2x3).L3(4).2_2", "2^2.(3^2:Q8.2)", "D8xL3(2)", "2^2.S6",
"M24C2B", ],
[ # fusions to 2^2.L3(4).2_3
"2^2.L3(4)", "(2^2x3).L3(4).2_3", ],
[ # fusions to 2^2.L3(4).3
"2^2.L3(4)", "(2^2x3).L3(4).3", "A4x7:3", "2^2.(3^2:2A4)", "2^6:(3xA5)", ],
[ # fusions to 2^2.L3(4).3.2_2
"2^2.L3(4).2_2", "2^2.L3(4).3", ],
[ # fusions to 2^2.L3(4).3.2_3
"2^2.L3(4).2_3", "2^2.L3(4).3", ],
[ # fusions to 3.L3(4).3.2_2
"3.L3(4).2_2", "3.L3(4).3", ],
[ # fusions to 3.L3(4).3.2_3
"3.L3(4).2_3", "3.L3(4).3", ],
[ # fusions to 2^2.L3(4).2^2
"2^2.L3(4).2_1", "2^2.L3(4).2_2", "2^2.L3(4).2_3", ],
[ # fusions to 2^2.L3(4).6
"2^2.L3(4).2_1", "2^2.L3(4).3", ],
[ # fusions to 2^2.L3(4).D12
"2^2.L3(4).3.2_2", "2^2.L3(4).3.2_3", "2^2.L3(4).2^2", "2^2.L3(4).6",
"2^2.psl(3,4).s3", ],
[ # fusions to 2.L3(2)
"P12/G1/L2/V1/ext2", "P12/G1/L2/V1/ext3", "2.S3", "2.Symm(4)", "2.D8",
"2x7:3", "7^(1+2).Sp(2,7)", "7^2:2psl(2,7)", ],
[ # fusions to 2.L3(2).2
"7:12", "2.L3(2)", "2.D12", "2.D16", ],
[ # fusions to Isoclinic(2.L3(2).2)
"2.L3(2)", "7^(2+1+2):GL2(7)", "7^2:2.L2(7).2", ],
[ # fusions to 2F4(2)'M2
],
[ # fusions to 3.L3(7)
"3^(1+2)_+:Q8", "3.(A4x3):2", "3x7^2:2.L2(7).2", "3.L3(7)M2", "3xL3(2).2",
"3.L3(7)M4", "3.L3(7)M5", "3x19:3", ],
[ # fusions to 3.L3(7).2
"3.L3(7)", ],
[ # fusions to 3.L3(7).3
"3.L3(7)", ],
[ # fusions to Isoclinic(3.L3(7).3,1)
],
[ # fusions to Isoclinic(3.L3(7).3,2)
],
[ # fusions to 3.L3(7).S3
"3.L3(7).2", "3.L3(7).3", ],
[ # fusions to L3(2)
"2^(3+1+3).L3(2)", "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", "P13/G1/L2/V1/ext2", "P13/G1/L6/V1/ext2", "S3",
"Symm(4)", "D8", "7:3", "2.L3(2)", "3x2.L3(2)", "2^3:sl(3,2)",
"2x2^3:L3(2)", "4.M22M6", "2.2^3+8:L3(2)", "2^1+6.psl(3,2)", "2^3+8:L3(2)",
"2^(1+3):L3(2)", "4^3.L3(2)", "4^3:psl(3,2)", "4^3:(L3(2)x2)",
"2.4^3.L3(2)", "2^6:L3(2)", "ons1", "M23C2A", "M24C2A", "s4", "2^3.L3(2)", ],
[ # fusions to L3(2).2
"(7:3xL2(7)):2", "(2.A7xL2(7)).2", "S3x2", "2.L3(2).2",
"Isoclinic(2.L3(2).2)", "L3(2)", "(L3(2)xS4(4):2).2",
"(7^2:(3x2A4)xL2(7)).2", "D16", "(L3(2)xL3(2)):2", "(A7xL2(7)):2",
"(2xL3(2)).2", "7:6", ],
[ # fusions to L3(3)
"13:3", "3^3:L3(3)", "3^2.2.S4", "3^6:L3(3)", "3^(3+2+6+6):(L3(3)xSD16)",
"s4", ],
[ # fusions to L3(3).2
"2xSymm(4)", "L3(3)", "(13:6xL3(3)).2", "(2xL3(3)).2", "13:6", "group6",
"3^(1+2):D8", ],
[ # fusions to G2(3)M6
"3.G2(3)M6", ],
[ # fusions to L3(5)
"A5.2", "31:3", "5^(3+3).(2xL3(5))", "5^2:4s5", "5^3.psl(3,5)", "4^2:s3", ],
[ # fusions to L3(5).2
"31:6", "L3(5)", ],
[ # fusions to L3(7)
"(A4x3):2", "3.L3(7)", "L3(2).2", "19:3", "L3(7)M2", "L3(7)M4", "L3(7)M5",
"7^2:2.L2(7).2", "3^2:Q8", ],
[ # fusions to L3(7).2
"3.L3(7).2", "L3(7)", "7^(1+2):(D8x3)", ],
[ # fusions to L3(7).3
"3.L3(7).3", "Isoclinic(3.L3(7).3,1)", "Isoclinic(3.L3(7).3,2)", "L3(7)", ],
[ # fusions to L3(7).S3
"3.L3(7).S3", "L3(7).2", "L3(7).3", ],
[ # fusions to L3(8)
"L3(2)", "73:3", "2^6:(7xL2(8))", "7^2:S3", ],
[ # fusions to L3(8).2
"L3(2).2", "L3(8)", ],
[ # fusions to L3(8).3
"L3(8)", ],
[ # fusions to L3(8).6
"L3(8)", "L3(8).2", "L3(8).3", ],
[ # fusions to ONM2
],
[ # fusions to 2.L4(3)
],
[ # fusions to 2.L4(3).2_1
"2.L4(3)", ],
[ # fusions to Isoclinic(2.L4(3).2_1)
],
[ # fusions to 2.L4(3).2_2
"2.L4(3)", ],
[ # fusions to Isoclinic(2.L4(3).2_2)
],
[ # fusions to 2.L4(3).2_3
"2.L4(3)", ],
[ # fusions to Isoclinic(2.L4(3).2_3)
],
[ # fusions to L3(9)
"A6.2_2", "L3(3)", "91:3", "3^4:GL2(9)", "8^2:S3", "U3(3)", ],
[ # fusions to L3(9).2_1
"L3(9)", ],
[ # fusions to L3(9).2_2
"L3(9)", ],
[ # fusions to L3(9).2_3
"L3(9)", ],
[ # fusions to L3(9).2^2
"L3(9).2_1", "L3(9).2_2", "L3(9).2_3", ],
[ # fusions to L4(3)
"A6.2_2", "2.L4(3)", "S4xS4", "3^3:L3(3)", "L4(3)M4", "3^4:2(A4xA4).2",
"(4xA6):2", "3^6:L4(3)", "O8+(3)M8", "O8+(3)M9", "U4(2).2", ],
[ # fusions to L4(3).2_1
"2.L4(3).2_1", "Isoclinic(2.L4(3).2_1)", "L4(3)", ],
[ # fusions to L4(3).2_2
"3^6:L4(3):2_2", "2.L4(3).2_2", "Isoclinic(2.L4(3).2_2)", "L4(3)",
"3x2.L4(3).2_2", ],
[ # fusions to L4(3).2_3
"2.L4(3).2_3", "Isoclinic(2.L4(3).2_3)", "L4(3)", ],
[ # fusions to L4(3).2^2
"L4(3).2_1", "L4(3).2_2", "L4(3).2_3", ],
[ # fusions to L5(2)
"31:5", "[2^30].L5(2)", "2^4:a8", "2^6:(psl(3,2)xs3)", "2^5.psl(5,2)",
"2^10:L5(2)", "P1L62", "2^5:L5(2)", ],
[ # fusions to L5(2).2
"L5(2)", ],
[ # fusions to L6(2)
"3.L3(4).3.2_2", "2^6:L6(2)", "P2L62", "P3L62", "2^5:L5(2)", "(7xL2(8)).3",
"L3(2)wr2", "S6(2)", ],
[ # fusions to L6(2).2
"L6(2)", ],
[ # fusions to L4(4)
],
[ # fusions to L4(4).2_1
"L4(4)", ],
[ # fusions to L4(4).2_2
"L4(4)", ],
[ # fusions to L4(4).2_3
"L4(4)", ],
[ # fusions to L4(4).2^2
"L4(4).2_1", "L4(4).2_2", "L4(4).2_3", ],
[ # fusions to L7(2)
"127:7", "2^6:L6(2)", "P1L82", "2^10:(L5(2)xS3)", "2^12:(L4(2)xL3(2))", ],
[ # fusions to L7(2).2
"L7(2)", ],
[ # fusions to L5(3)
],
[ # fusions to L5(3).2
"L5(3)", ],
[ # fusions to L2(37)
],
[ # fusions to L2(41)
],
[ # fusions to L2(43)
],
[ # fusions to L2(47)
],
[ # fusions to L2(53)
],
[ # fusions to L2(59)
],
[ # fusions to L2(61)
],
[ # fusions to L2(64)
],
[ # fusions to L2(64).6
"L2(64)", ],
[ # fusions to L2(67)
],
[ # fusions to L2(71)
],
[ # fusions to L2(73)
],
[ # fusions to L2(79)
],
[ # fusions to L2(83)
],
[ # fusions to L2(89)
],
[ # fusions to L2(97)
],
[ # fusions to L2(101)
],
[ # fusions to L2(103)
],
[ # fusions to L2(107)
],
[ # fusions to L2(109)
"A5", "109:54", "D110", "D108", ],
[ # fusions to L2(113)
"113:56", "D114", "D112", "s4", ],
[ # fusions to L2(121)
"L2(11).2", "L2(121)M3", "D122", "11^2:60", "D120", ],
[ # fusions to L2(125)
"A5", "D126", "D62x2", "5^3:62", ],
[ # fusions to L4(5)
"2.L4(5)", ],
[ # fusions to 2.L4(5)
],
[ # fusions to 4.L4(5)
],
[ # fusions to L4(9)
],
[ # fusions to L8(2)
"S8(2)", ],
[ # fusions to L3(11)
"L2(11).2", "L3(2)", "133:3", "10^2:S3", "11^2:(5x2L2(11).2)", ],
[ # fusions to 12.M22
"NDG(12.M22,3^2)", "12.M22N3", "3xIsoclinic(2x5:8)", "12x7:3", "12x11:5",
"3x4.M22N2", "12_1.L3(4)", "12.M22M2", "2.(2x3.A7)", "3x4.M22M5",
"3x4.M22M6", "12.M22M7", "3x2.(2xL2(11))", ],
[ # fusions to 12.M22.2
"12.M22", ],
[ # fusions to Isoclinic(12.M22.2)
],
[ # fusions to 2.M12
"2.M12N2", "2xM12N3", "2.M12N5", "2.L2(11)", "2xM11", "2.M12M2", "2.M12M4",
"2x3^2.2.S4", "2.M12M7", "2.M12M8", "2.M12M9", "2.M12M10", "2.A4xS3",
"3^6:2M12", "A6.D8", "2x11:5", ],
[ # fusions to 2.M12.2
"2.M12", "2xL2(11).2", ],
[ # fusions to Isoclinic(2.M12.2)
],
[ # fusions to 2.M22
"(2xA6).2_3", "2.M22N2", "2x7:3", "2.L3(4)", "12.M22", "4.M22", "6.M22",
"Isoclinic(2x3^2:Q8)", "2^2.U6(2)M12", "(2^2x3).U6(2)M12", "2x(A4x3):2",
"2.M22M5", "2.M22M2", "2xA7", "2x2^3:L3(2)", "2xL2(11)", "2x5:4", "2x11:5", ],
[ # fusions to 2.M22.2
"2.L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", "2.M22", "4.M22.2",
"Isoclinic(4.M22.2)", "6.M22.2", "2x2^3:L3(2)x2", "(2xA6).2^2",
"2xL2(11).2", "2^5:S6", "2^6:S5", ],
[ # fusions to Isoclinic(2.M22.2)
"Isoclinic(6.M22.2)", ],
[ # fusions to 3.M22
"3.A6.2_3", "3.A7", "3xMcLN2", "3x11:5", "3x2^3.S4v1", "3xNRS(M22,[2^6])",
"3.L3(4)", "12.M22", "6.M22", "7:3x3", "3^(1+2)_+:Q8", "3.(A4x3):2",
"2x6.M22", "3xM22C2A", "3.M22M2", "3x2^4:s5", "3x2^3:L3(2)", "3xL2(11)",
"3.Fi22M5", "6.Fi22M5", "5:4x3", ],
[ # fusions to 3.M22.2
"3.A6.2^2", "3.L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", "3.M22",
"6.M22.2", "Isoclinic(6.M22.2)", "6^2:D12", "(2^4:S5x3).2", "2^3:L3(2)xS3",
"(L2(11)x3).2", "2^4:3.S6", "c2aj4", "3^(1+2):SD16", "7:3xS3", ],
[ # fusions to 4.M22
"4.M22N2", "Isoclinic(2x(2.A4x3).2)", "Isoclinic(4x3^2:Q8)",
"Isoclinic(2x5:8)", "4x7:3", "4x11:5", "4_1.L3(4)", "12.M22", "4.M22M2",
"2.(2xA7)", "4.M22M5", "4.M22M6", "(4xA6).2_3", "2.(2xL2(11))", ],
[ # fusions to 4.M22.2
"12.M22.2", "4.M22", ],
[ # fusions to Isoclinic(4.M22.2)
"Isoclinic(12.M22.2)", ],
[ # fusions to 6.M22
"3x2.M22N2", "2x3.(A4x3):2", "6x11:5", "6x7:3", "6.L3(4)", "12.M22",
"Isoclinic(2x3^(1+2)_+:Q8)", "(2^2x3).U6(2)M12", "6.M22M2", "2x(3.A7)",
"3x2.M22M5", "6x2^3:L3(2)", "6.M22M7", "6xL2(11)", "6x5:4", ],
[ # fusions to 6.M22.2
"6.L3(4).2_2", "12.M22.2", "Isoclinic(12.M22.2)", "6.M22", ],
[ # fusions to Isoclinic(6.M22.2)
],
[ # fusions to HNM12
],
[ # fusions to HSM9
"2.HSM9", ],
[ # fusions to M11
"A5.2", "A6.2_3", "P48/G1/L1/V1/ext2", "P48/G1/L1/V2/ext2", "L2(11)",
"2.S4", "3^5:M11", "3^6.M11", "3^(2+5+10).(M11x2S4)", "s4", "3^2:Q8.2",
"M11N2", "5:4", "11:5", ],
[ # fusions to M12
"A6.2^2", "M12M4", "L2(11)", "2.M12", "M11", "M12M2", "2xS5", "3^2.2.S4",
"4^2:D12", "A4xS3", "M12M7", "M8.S4", "M12N2", "M12N3", "2x5:4", "11:5", ],
[ # fusions to M12.2
"A5.2", "(11:5xM12):2", "G2(3).2N2", "L2(11).2", "M12.2M3", "2.M12.2",
"Isoclinic(2.M12.2)", "M12", "(L2(11)xM12):2", "3^2.2.S4", "4^2:D12.2",
"S4xS3", "11:10", "(2^2xA5):2", "2^3.(S4x2)", "3^(1+2):D8", ],
[ # fusions to M12M2
"2.M12M2", ],
[ # fusions to M22
"A6.2_3", "A7", "NRS(M22,[2^6])", "7:3", "2^3.S4v1", "(A4x3):2", "L2(11)",
"L3(4)", "12.M22", "2.M22", "3.M22", "4.M22", "6.M22", "2x3.M22",
"2x2.M22", "2x6.M22", "2^4:s5", "2^3:sl(3,2)", "2^4:a6", "M22C2A",
"2^10:m22", "2.Fi22M5", "2^4:3^2:4", "2^10:M22'", "2^4:D8", "3^2:Q8",
"5:4", "11:5", ],
[ # fusions to M22.2
"A6.2^2", "2x7:3", "L2(11).2", "L3(4).2_2", "12.M22.2",
"Isoclinic(12.M22.2)", "2.M22.2", "Isoclinic(2.M22.2)", "3.M22.2",
"4.M22.2", "Isoclinic(4.M22.2)", "6.M22.2", "Isoclinic(6.M22.2)", "M22",
"2x2^3:L3(2)", "M22.2M4", "S4xS3", "2^10:m22:2", "Fi22.2M4", "11:10",
"s4wrs2", "M22.2M3", "3^2:Q8.2", "2x5:4", ],
[ # fusions to M23
"A8", "2x7:3", "2^3.S4v1", "(A5x3):2", "L3(4).2_2", "M11", "M22", "23:11",
"2^3:sl(3,2)", "2^4:(3xA5).2", "2^4:a7", "2^(2+4):(3x3):2", "2..11.m23",
"M22C2A", "M23C2A", "2^4:D8", "3^2:Q8.2", "11:5", "(3xD10).2", ],
[ # fusions to M24
"3.A6.2_1", "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", "L2(23)", "L3(4).3.2_2", "L3(2)", "M12.2",
"M22.2", "M23", "2^(2+11+22).(M24xS3)", "23:11", "2^4:a8",
"2^6:(psl(3,2)xs3)", "2^6:3.s6", "3^2.2.S4", "2.2^11:M24", "2^11:M24",
"2^12.M24", "11:10", "F3+M7", "mx1j4", "M24C2B", "M24C2A",
"2^6:3^(1+2).D8", "3^(1+2):D8", "M24N2", "7:3xS3", "(A4xD10).2", ],
[ # fusions to McLM3
"3.McLM3", ],
[ # fusions to 3.McLM3
],
[ # fusions to ONM11
],
[ # fusions to 2.A12M8
],
[ # fusions to 3^7.O7(3):2
"3^7.O7(3)", ],
[ # fusions to 2^(3+12).(L3(2)xA6)
],
[ # fusions to 2^(6+8).(S3xA8)
],
[ # fusions to 3^2.3^4.3^8.(A5x2A4).2
],
[ # fusions to S3xO8+(3):S3
],
[ # fusions to 3^(1+10):(2xU5(2):2)
"3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)", ],
[ # fusions to 2^2.U6(2):S3x2
],
[ # fusions to 2^(1+12)_+.3_1.U4(3).2^2_{122}
],
[ # fusions to 3^3.[3^10].(L3(3)x2^2)
],
[ # fusions to 3^2.3^4.3^8.(S5x2S4)
],
[ # fusions to S4xO8+(2):S3
"(A4xO8+(2).3).2", ],
[ # fusions to 2^(3+12).(L3(2)xS6)
],
[ # fusions to 2^(7+8).(S3xA8)
],
[ # fusions to (S3xS3xG2(3)):2
"(3^(1+2):2^2xG2(3)):2", ],
[ # fusions to S5xS9
],
[ # fusions to S6xL2(8):3
],
[ # fusions to 7:6xS7
],
[ # fusions to 7^(1+2)_+:(6xS3).2
"3.F3+.2N7", "7^(1+2):(S3x6)", ],
[ # fusions to 13:3
],
[ # fusions to 19:3
],
[ # fusions to 31:3
],
[ # fusions to 37:3
],
[ # fusions to 43:3
],
[ # fusions to 73:3
],
[ # fusions to 91:3
],
[ # fusions to 133:3
],
[ # fusions to 31:5
],
[ # fusions to 109:54
],
[ # fusions to 113:56
],
[ # fusions to D14
"D126", "2.D14", "D28", ],
[ # fusions to D110
],
[ # fusions to D114
],
[ # fusions to D122
],
[ # fusions to D126
],
[ # fusions to S6x2
"S3xS6", ],
[ # fusions to S7x2
"S7xS3", "3.s7x2", ],
[ # fusions to S8x2
"S8xS3", ],
[ # fusions to S9x2
],
[ # fusions to S10x2
],
[ # fusions to 2.Fi22M13
],
[ # fusions to S11x2
],
[ # fusions to S5xS3
"S3xA5", "2.A5.2xS3", "2.HSN3A", "(A5x3):2", "S5xS4", "2^(2+8):(S5xS3)",
"2^(4+10)(S5xS3)", ],
[ # fusions to S7xS3
"S7xS4", ],
[ # fusions to S8xS3
],
[ # fusions to S9xS3
"(A9x3):2", ],
[ # fusions to S10xS3
],
[ # fusions to S4xS4
],
[ # fusions to S5xS4
],
[ # fusions to S6xS4
"5:4xS4", "2.(S6xS4)", "3x2.(S6xS4)", ],
[ # fusions to S7xS4
],
[ # fusions to S8xS4
"(A8xA4):2", ],
[ # fusions to S9xS4
],
[ # fusions to S6xS5
],
[ # fusions to S7xS5
],
[ # fusions to S8xS5
],
[ # fusions to S7xS6
],
[ # fusions to (A10x3):2
],
[ # fusions to (A9xA4):2
],
[ # fusions to (A8xA5):2
],
[ # fusions to (A7xA6):2
],
[ # fusions to D62x2
],
[ # fusions to S3xL2(8)
],
[ # fusions to 5xA5
],
[ # fusions to 3xL2(8)
],
[ # fusions to 5xIsoclinic(2.A6.2_2)
],
[ # fusions to 3xU4(2)
"3x2.SuzM4", "3x2^(1+6)_-.U4(2)", "A4xU4(2)", "2.(A4xU4(2))", ],
[ # fusions to 3^(1+2)+:2A4
],
[ # fusions to S3x3^(1+2)+:2A4
],
[ # fusions to 3x2S5
],
[ # fusions to 7:3x3
"12x7:3", "6x7:3", ],
[ # fusions to M10x2
"3^4:(M10x2)", ],
[ # fusions to L2(8):3x2
"s3xpsl(2,8).3", ],
[ # fusions to 2^2xA6
],
[ # fusions to 2^2.L3(4)M4
],
[ # fusions to 2^2.L3(4)M5
],
[ # fusions to 2^2xL2(7)
],
[ # fusions to 2^2.L3(4)M7
],
[ # fusions to 2^2.L3(4)M8
],
[ # fusions to A4x7:3
],
[ # fusions to 7^2:24
],
[ # fusions to 3^4:40
],
[ # fusions to 2^4:A5
"A5", ],
[ # fusions to L3(4)M4
"2.L3(4)M4", ],
[ # fusions to L3(4)M5
"2.L3(4)M5", ],
[ # fusions to L3(4)M7
"2.L3(4)M7", ],
[ # fusions to L3(4)M8
"2.L3(4)M8", ],
[ # fusions to 2xA6
"3^4:(2xA6)", ],
[ # fusions to 2.L3(4)M4
],
[ # fusions to 2.L3(4)M5
],
[ # fusions to 2xL3(2)
"6xL3(2)", ],
[ # fusions to 2.L3(4)M7
"6.L3(4)M7", ],
[ # fusions to 2.L3(4)M8
"6.L3(4)M8", ],
[ # fusions to Isoclinic(2x3^2:Q8)
"12.M22N3", "Isoclinic(4x3^2:Q8)", "Isoclinic(2x3^(1+2)_+:Q8)", ],
[ # fusions to 4_1.2^4:A5
"3x4_1.2^4:A5", ],
[ # fusions to 4_2.2^4:A5
"3x4_2.2^4:A5", ],
[ # fusions to 3x2^4:A5
],
[ # fusions to 3.L3(4)M4
],
[ # fusions to 3.L3(4)M5
],
[ # fusions to 3.L3(4)M7
"6.L3(4)M7", ],
[ # fusions to 3.L3(4)M8
"6.L3(4)M8", ],
[ # fusions to 3^(1+2)_+:Q8
"12.M22N3", "(3^(1+2):4xD10).2", "3^(1+2):4", "Isoclinic(2x3^(1+2)_+:Q8)", ],
[ # fusions to 3x2^5.A5
"3x4_1.2^4:A5", "3x4_2.2^4:A5", ],
[ # fusions to 6xL3(2)
],
[ # fusions to 6.L3(4)M7
],
[ # fusions to 6.L3(4)M8
],
[ # fusions to Isoclinic(2x3^(1+2)_+:Q8)
"12.M22N3", ],
[ # fusions to 3x4_1.2^4:A5
],
[ # fusions to 3x4_2.2^4:A5
],
[ # fusions to 3^(1+4)_+.2S4
"4.3^(1+4)_+.2S4", "3^2.(3^(1+4)_+.2S4)", ],
[ # fusions to 2(A4xA4).2^2
],
[ # fusions to U4(3)M3
],
[ # fusions to U4(3)M9
],
[ # fusions to U4(3)M12
],
[ # fusions to 2.A6M2
"6.A6M2", ],
[ # fusions to 3^2:8
"6.A6M3", ],
[ # fusions to 2.A6M5
"6.A6M5", ],
[ # fusions to 3xA5
"3x2.A5", ],
[ # fusions to 3.A6M2
"6.A6M2", ],
[ # fusions to 3xSymm(4)
"3x2.Symm(4)", ],
[ # fusions to 3.A6M5
"6.A6M5", ],
[ # fusions to 3x2.A5
],
[ # fusions to 6.A6M2
],
[ # fusions to 3x2.Symm(4)
],
[ # fusions to 6.A6M5
],
[ # fusions to 2.A4x3
],
[ # fusions to (2.A4x3).2
"2.A4x3", "6.(A4x3).2", ],
[ # fusions to 3xL3(2)
"6xL3(2)", "3x2.L3(2)", "2^{3+6}:(L3(2)x3)", ],
[ # fusions to 3xA5.2
"3xIsoclinic(2.A5.2)", ],
[ # fusions to 3.(A4x3):2
"NDG(12.M22,3^2)", "2x3.(A4x3):2", "6.(A4x3).2", ],
[ # fusions to 3x2.L3(2)
],
[ # fusions to 3xIsoclinic(2.A5.2)
],
[ # fusions to (2.A5x3).2
"3x2.A5", ],
[ # fusions to 2.A6x3
],
[ # fusions to (2.A6x3).2_1
"2.A6x3", ],
[ # fusions to 2.A9M5
],
[ # fusions to 2.(A5xA4).2
],
[ # fusions to (2x3^3).S4
],
[ # fusions to 3^2:2A4
"3^2:Q8", ],
[ # fusions to U3(8)M4
],
[ # fusions to U3(8)M5
],
[ # fusions to 2x3^2:2A4
],
[ # fusions to A7x3
],
[ # fusions to (A7x3).2
"A7x3", "(2.A7x3).2", ],
[ # fusions to 2.A7x3
],
[ # fusions to (2.A7x3).2
"2.A7x3", ],
[ # fusions to (A5xA5):4
"2.(A5xA5).4", ],
[ # fusions to 2.(A5xA5).4
],
[ # fusions to (A6xA4).2
"2.(A6xA4).2", ],
[ # fusions to 2.(A6xA4).2
],
[ # fusions to A8x3
],
[ # fusions to (A8x3).2
"A8x3", "(2.A8x3).2", ],
[ # fusions to (2.A8x3).2
"3x2.A8", ],
[ # fusions to (A7xA4):2
"2.(A7xA4).2", ],
[ # fusions to 2.(A7xA4).2
],
[ # fusions to (A6xA5):2
"2.(A6xA5).2", ],
[ # fusions to 2.(A6xA5).2
],
[ # fusions to A9x3
],
[ # fusions to (A9x3):2
"A9x3", "(2.A9x3).2", ],
[ # fusions to 2.A9x3
],
[ # fusions to (2.A9x3).2
"2.A9x3", ],
[ # fusions to 7^(1+2).Sp(2,7)
],
[ # fusions to 3xO8+(2)
],
[ # fusions to (3xO8+(2)):2
"3xO8+(2)", ],
[ # fusions to 3^(3+6):26
],
[ # fusions to 2x3^4:(2xA6)
"3^4:(2xA6)", ],
[ # fusions to [2^30].L5(2)
],
[ # fusions to 2^(9+16).S8(2)
],
[ # fusions to [2^35].(S5xL3(2))
],
[ # fusions to 2^(2+10+20).(M22.2xS3)
],
[ # fusions to 3^(1+12):6.Suz.2
"6.Suz.2", ],
[ # fusions to 3^12.6.Suz.2
"3^(1+12):6.Suz.2", ],
[ # fusions to 3^(1+12).2.Suz.2
"3^(1+12):6.Suz.2", "3^(1+12).(2xU5(2).2)", ],
[ # fusions to 3^(1+12).(2xU5(2).2)
],
[ # fusions to 5^(1+6):2.J2.4
"MN5", ],
[ # fusions to (7:3xHe):2
],
[ # fusions to (A5xA12):2
],
[ # fusions to 5^(3+3).(2xL3(5))
],
[ # fusions to (A6xA6xA6).(2xS4)
],
[ # fusions to (A5xU3(8):3):2
],
[ # fusions to 5^(2+2+4):(S3xGL2(5))
],
[ # fusions to (L3(2)xS4(4):2).2
],
[ # fusions to (5^2:[2^4]xU3(5)).S3
],
[ # fusions to (L2(11)xM12):2
"(11:5xM12):2", ],
[ # fusions to (A7x(A5xA5):2^2):2
],
[ # fusions to 5^4:(3x2.L2(25)).2
],
[ # fusions to 7^(2+1+2):GL2(7)
],
[ # fusions to M11xA6.2^2
],
[ # fusions to (S5xS5xS5):S3
"S3", ],
[ # fusions to (L2(11)xL2(11)):4
],
[ # fusions to 13^2:2.L2(13).4
],
[ # fusions to (7^2:(3x2A4)xL2(7)).2
"7^2:(3x2A4)", ],
[ # fusions to (13:6xL3(3)).2
],
[ # fusions to 3^3:L3(3)
],
[ # fusions to L4(3)M4
],
[ # fusions to 3^4:2(A4xA4).2
],
[ # fusions to (4xA6):2
],
[ # fusions to (3x2S5).2
],
[ # fusions to O8+(2)M2
"2^2.O8+(2)M2", "2.S6(2)", ],
[ # fusions to O8+(2)M3
"2^2.O8+(2)M3", "2.O8+(2)M3", ],
[ # fusions to O8+(2)M5
"NRS(O8+(2),2^(3+3+3)_a)", "2^2.O8+(2)M5", "2^(1+6)_+.A8", ],
[ # fusions to O8+(2)M6
"NRS(O8+(2),2^(3+3+3)_b)", "2^2.O8+(2)M6", "2.O8+(2)M6", ],
[ # fusions to O8+(2)M8
"2.A9", "2^2.O8+(2)M8", ],
[ # fusions to O8+(2)M9
"2^2.O8+(2)M9", "2.O8+(2)M9", ],
[ # fusions to (3xU4(2)):2
"2.2^4.(S3x3^2:2)", "S6x2", "2x(3x2.U4(2)):2", "2x(3xU4(2)):2",
"(2^2x2^(1+8)).(3xU4(2)).2", ],
[ # fusions to O8+(2)M11
"2^2.O8+(2)M11", "(3x2.U4(2)):2", ],
[ # fusions to O8+(2)M12
"2^2.O8+(2)M12", "2.O8+(2)M12", ],
[ # fusions to 2^(1+8)_+:(S3xS3xS3)
"2^2.(2^(1+8)_+:(S3xS3xS3))", "2.2^(1+8)_+:(S3xS3xS3)", ],
[ # fusions to 3^4:2^3.S4(a)
"(2^2x3^4).2^3.S4", "(2x3^4:2^3).S4", ],
[ # fusions to 2x2.S6(2)
],
[ # fusions to 2^2.O8+(2)M2
],
[ # fusions to 2^2.O8+(2)M3
],
[ # fusions to (2x2^(1+6)_+).A8
],
[ # fusions to 2^2.O8+(2)M5
],
[ # fusions to 2^2.O8+(2)M6
],
[ # fusions to 2x2.A9
],
[ # fusions to 2^2.O8+(2)M8
],
[ # fusions to 2^2.O8+(2)M9
],
[ # fusions to 2x(3x2.U4(2)):2
],
[ # fusions to 2^2.O8+(2)M11
],
[ # fusions to 2^2.O8+(2)M12
],
[ # fusions to 2^2.(2^(1+8)_+:(S3xS3xS3))
],
[ # fusions to (2^2x3^4).2^3.S4
],
[ # fusions to (2x2.(A5xA5)):2^2
],
[ # fusions to 2^2.O8+(2)M16
],
[ # fusions to 2^2.O8+(2)M17
],
[ # fusions to (4^2x2)(2xS4)
],
[ # fusions to (4^2x2)S4
],
[ # fusions to (4^2x3):S3
],
[ # fusions to (7:3x3):2
"(7:3x3):4", "7:3x3", ],
[ # fusions to (7xL2(7)):2
],
[ # fusions to (9x3).S3
],
[ # fusions to (A5xA5):2^2
"(2x2.(A5xA5)):2^2", "(A5xA5).(2x4)", ],
[ # fusions to S4(4).2M7
],
[ # fusions to O8+(2)M16
"2^2.O8+(2)M16", "2.(A5xA5).2^2", ],
[ # fusions to O8+(2)M17
"2^2.O8+(2)M17", "2.O8+(2)M17", ],
[ # fusions to 2.O8+(2)M3
"2^2.O8+(2)M3", ],
[ # fusions to 2.O8+(2)M6
"2^2.O8+(2)M6", ],
[ # fusions to 2xA9
"2x2.A9", ],
[ # fusions to 2.O8+(2)M9
"2^2.O8+(2)M9", ],
[ # fusions to 2x(3xU4(2)):2
"2x(3x2.U4(2)):2", ],
[ # fusions to (3x2.U4(2)):2
"2^2.O8+(2)M11", ],
[ # fusions to 2.O8+(2)M12
"2^2.O8+(2)M12", ],
[ # fusions to 2.2^(1+8)_+:(S3xS3xS3)
"2^2.(2^(1+8)_+:(S3xS3xS3))", ],
[ # fusions to (2x3^4:2^3).S4
"(2^2x3^4).2^3.S4", ],
[ # fusions to (A5xA5).(2x4)
"(2x2.(A5xA5)):2^2", ],
[ # fusions to 2.(A5xA5).2^2
"2.(A5wr2)", "(D10x2.(A5xA5).2).2", "2^2.O8+(2)M16", ],
[ # fusions to 2.O8+(2)M17
"2^2.O8+(2)M17", ],
[ # fusions to (A8xA4):2
],
[ # fusions to (A7xA5):2
],
[ # fusions to (S3xS3xA5):2
],
[ # fusions to 2^{3+6}:(L3(2)x3)
],
[ # fusions to 2^{1+8}_+:(S3xA5)
],
[ # fusions to 10^2:S3
],
[ # fusions to 11^(1+2)+:40
],
[ # fusions to 11^2:(5x2L2(11).2)
],
[ # fusions to 11^2:60
],
[ # fusions to 2(A4xA4).4.2
"2(A4xA4).2^2", ],
[ # fusions to 2(A4xA4).4.2^2
],
[ # fusions to 2(L2(11)x2).2
],
[ # fusions to 2(L2(7)x4).2
],
[ # fusions to 2.(2.(A4xA4).2.2)
],
[ # fusions to 2.(2^5:S6)
],
[ # fusions to 2x3^(1+2)_+:2S4
],
[ # fusions to 2.(3^3:(S4x2))
],
[ # fusions to 2.(S3xS6)
],
[ # fusions to 2.(S6x2)
],
[ # fusions to 2.2^6.L3(2)
],
[ # fusions to D108
],
[ # fusions to D112
],
[ # fusions to 2^(1+4)+.(S3xS3)
"2^(1+4)+:3^2.2", ],
[ # fusions to 2^(1+8)+:L2(8)
],
[ # fusions to 2^(2+4):(3xD10)
],
[ # fusions to 2^(2+4):15
],
[ # fusions to 2^(3+6):21
],
[ # fusions to 2^2.(3^2:2A4)
],
[ # fusions to 2^2.(3^2:Q8)
],
[ # fusions to 2^2.(3^2:Q8.2)
],
[ # fusions to 7:3xS4
],
[ # fusions to D8xL3(2)
],
[ # fusions to 2^2.[2^6].(S3xS3)
],
[ # fusions to 2^2.S6
],
[ # fusions to 2^3.L3(2):2
"(D10x2^3.L3(2)).2", "2^3.L3(2)", ],
[ # fusions to 2^6:(3xA5)
],
[ # fusions to S4(4)M2
],
[ # fusions to 2^6:(3xA5):2
],
[ # fusions to S4(4).2M3
],
[ # fusions to 2^6:(7xL2(8))
],
[ # fusions to 2^6:3^3:S4
"2^(1+6)_-.3^3.S4", ],
[ # fusions to 2S5.2
],
[ # fusions to 3^(1+2)+.2S4
],
[ # fusions to 3^(1+2)+:2S4
"(3x3^(1+2)+:2A4).2", "3^(1+2)+:2A4", ],
[ # fusions to 3^(1+4)+.2^(1+4)-.S3
],
[ # fusions to 3^(1+4)+.4S4
"3^(1+4)_+.2S4", ],
[ # fusions to 3^(2+4):80
],
[ # fusions to 3^2.(3x3^(1+2)+):D8
"3^2.(3x3^(1+2)+):2^2", ],
[ # fusions to 3^3:S4`
"(2x3^3).S4`", ],
[ # fusions to 3^4:(2xA6)
"2xA6", "3^4:A6", ],
[ # fusions to 3^4:2^3.S4
"2.3^4.2^3.S4", ],
[ # fusions to 3^4:GL2(9)
],
[ # fusions to 4(A4xA4).4
"2(A4xA4).2^2", ],
[ # fusions to 5^(1+2)+:24
],
[ # fusions to 5^(1+2)+:4A5
],
[ # fusions to 5^(1+2)+:8
],
[ # fusions to 5^2:S3
],
[ # fusions to 5^3:(2xA5).2
],
[ # fusions to 5^3:62
],
[ # fusions to 6^2:D12
"3.(A4x3):2", ],
[ # fusions to 6^2:S3
],
[ # fusions to 7^(1+2):48
],
[ # fusions to 7^2:2A4
],
[ # fusions to 7^2:S3
],
[ # fusions to 8^2:S3
],
[ # fusions to 2^(1+8)_+:U4(2)
"2.2^(1+8)_+:U4(2)", "3x2.2^(1+8)_+:U4(2)", "2^2.2^(1+8)_+:U4(2)",
"3x2^2.2^(1+8)_+:U4(2)", ],
[ # fusions to U6(2)M5
"3.U6(2)M5", "2^2.U6(2)M5", "(2^2x3).U6(2)M5", ],
[ # fusions to U6(2)M6
"2.U6(2)M6", "3.U6(2)M6", "6.U6(2)M6", "2^2.U6(2)M6", "(2^2x3).U6(2)M6", ],
[ # fusions to U6(2)M9
"2.U6(2)M9", "3.U6(2)M9", "6.U6(2)M9", "2^2.U6(2)M9", "(2^2x3).U6(2)M9", ],
[ # fusions to U6(2)M10
"2.U6(2)M10", "3.U6(2)M10", "6.U6(2)M10", "2^2.U6(2)M10",
"(2^2x3).U6(2)M10", ],
[ # fusions to U6(2)M12
"2.M22", "3.U6(2)M12", "2^2.U6(2)M12", "(2^2x3).U6(2)M12", ],
[ # fusions to U6(2)M13
"2.U6(2)M13", "3.U6(2)M13", "6.U6(2)M13", "2^2.U6(2)M13",
"(2^2x3).U6(2)M13", ],
[ # fusions to 3^(1+4).2^(1+1+2+2).S3
"2.(3^(1+4).[2^7.3])", "3.(3^(1+4).[2^7.3])", "6.(3^(1+4).[2^7.3])", ],
[ # fusions to 2.2^(1+8)_+:U4(2)
"2^2.2^(1+8)_+:U4(2)", "3x2^2.2^(1+8)_+:U4(2)", ],
[ # fusions to 2.U6(2)M6
"6.U6(2)M6", "2^2.U6(2)M6", "(2^2x3).U6(2)M6", ],
[ # fusions to 2.2^(4+8):(S3xA5)
"2^2.2^(4+8):(S3xA5)", "3x2^2.2^(4+8):(S3xA5)", ],
[ # fusions to 2.U6(2)M9
"6.U6(2)M9", "2^2.U6(2)M9", "(2^2x3).U6(2)M9", ],
[ # fusions to 2.U6(2)M10
"6.U6(2)M10", "2^2.U6(2)M10", "(2^2x3).U6(2)M10", ],
[ # fusions to 2xM22
"2x3.M22", "2x2.M22", "2x6.M22", ],
[ # fusions to 2.U6(2)M13
"6.U6(2)M13", "2^2.U6(2)M13", "(2^2x3).U6(2)M13", ],
[ # fusions to 2xS3xU4(2)
"6xS3xU4(2)", "2^2xS3xU4(2)", "2^2x3xS3xU4(2)", ],
[ # fusions to 2.(3^(1+4).[2^7.3])
"6.(3^(1+4).[2^7.3])", ],
[ # fusions to 3x2^(1+8)_+:U4(2)
"3x2.2^(1+8)_+:U4(2)", "3x2^2.2^(1+8)_+:U4(2)", ],
[ # fusions to 3.U6(2)M5
"(2^2x3).U6(2)M5", "6_1.U4(3).2_2", ],
[ # fusions to 3.U6(2)M6
"6.U6(2)M6", "(2^2x3).U6(2)M6", ],
[ # fusions to 3x2^(4+8):(S3xA5)
"3x2.2^(4+8):(S3xA5)", "3x2^2.2^(4+8):(S3xA5)", ],
[ # fusions to 3xS6(2)
"6xS6(2)", "2^2x3xS6(2)", "3x2.S6(2)", ],
[ # fusions to 3.U6(2)M9
"6.U6(2)M9", "(2^2x3).U6(2)M9", ],
[ # fusions to 3.U6(2)M10
"6.U6(2)M10", "(2^2x3).U6(2)M10", ],
[ # fusions to 3.U6(2)M12
"(2^2x3).U6(2)M12", ],
[ # fusions to 3.U6(2)M13
"6.U6(2)M13", "(2^2x3).U6(2)M13", ],
[ # fusions to 3xS3xU4(2)
"6xS3xU4(2)", "2^2x3xS3xU4(2)", ],
[ # fusions to 3.(3^(1+4).[2^7.3])
"6.(3^(1+4).[2^7.3])", ],
[ # fusions to 3x2.2^(1+8)_+:U4(2)
"3x2^2.2^(1+8)_+:U4(2)", ],
[ # fusions to 6.U6(2)M6
"(2^2x3).U6(2)M6", ],
[ # fusions to 3x2.2^(4+8):(S3xA5)
"3x2^2.2^(4+8):(S3xA5)", ],
[ # fusions to 6xS6(2)
"2^2x3xS6(2)", ],
[ # fusions to 6.U6(2)M9
"(2^2x3).U6(2)M9", ],
[ # fusions to 6.U6(2)M10
"(2^2x3).U6(2)M10", ],
[ # fusions to 2x3.M22
"2x6.M22", ],
[ # fusions to 6.U6(2)M13
"(2^2x3).U6(2)M13", ],
[ # fusions to 6xS3xU4(2)
"2^2x3xS3xU4(2)", ],
[ # fusions to 6.(3^(1+4).[2^7.3])
],
[ # fusions to 2^2xU5(2)
"2^2x3xU5(2)", ],
[ # fusions to 2^2.2^(1+8)_+:U4(2)
],
[ # fusions to 2^2.U6(2)M5
"(2^2x3).U6(2)M5", ],
[ # fusions to 2^2.U6(2)M6
"(2^2x3).U6(2)M6", ],
[ # fusions to 2^2.2^(4+8):(S3xA5)
],
[ # fusions to 2^2xS6(2)
"2^2x3xS6(2)", ],
[ # fusions to 2^2.U6(2)M9
"(2^2x3).U6(2)M9", ],
[ # fusions to 2^2.U6(2)M10
"(2^2x3).U6(2)M10", ],
[ # fusions to 2x2.M22
"2x6.M22", ],
[ # fusions to 2^2.U6(2)M12
"(2^2x3).U6(2)M12", ],
[ # fusions to 2^2.U6(2)M13
"(2^2x3).U6(2)M13", ],
[ # fusions to 2^2xS3xU4(2)
"2^2x3xS3xU4(2)", ],
[ # fusions to 2^2x3xU5(2)
],
[ # fusions to 3x2^2.2^(1+8)_+:U4(2)
],
[ # fusions to 2x6_1.U4(3).2_2
],
[ # fusions to (2^2x3).U6(2)M5
],
[ # fusions to (2^2x3).U6(2)M6
],
[ # fusions to 3x2^2.2^(4+8):(S3xA5)
],
[ # fusions to 2^2x3xS6(2)
],
[ # fusions to (2^2x3).U6(2)M9
],
[ # fusions to (2^2x3).U6(2)M10
],
[ # fusions to 2x6.M22
],
[ # fusions to (2^2x3).U6(2)M12
],
[ # fusions to (2^2x3).U6(2)M13
],
[ # fusions to 2^2x3xS3xU4(2)
],
[ # fusions to (2^2x3).(3^(1+4).[2^7.3])
],
[ # fusions to 3^5:U4(2):2
"(2x3^5).U4(2).2", "3.3^5:U4(2):2", "6.(3^5:U4(2):2)", "U4(2).2", ],
[ # fusions to O7(3)M5
"2.O7(3)M5", "3.O7(3)M5", "6.O7(3)M5", ],
[ # fusions to 3^(3+3):L3(3)
"3.(3^(3+3):L3(3))", "2x3.(3^(3+3):L3(3))", ],
[ # fusions to 3^(3+3)b:L3(3)
"2x3^(3+3)b:L3(3)", ],
[ # fusions to O7(3)M8
"2.O7(3)M8", "3.O7(3)M8", "6.O7(3)M8", ],
[ # fusions to O7(3)M11
"2.O7(3)M11", "3.O7(3)M11", "6.O7(3)M11", ],
[ # fusions to (2^2xU4(2)):2
"2.(2^2xU4(2)).2", "3x2.(2^2xU4(2)).2", ],
[ # fusions to (A4x2(A4xA4).2).2
"2.(A4x2(A4xA4).2).2", "3.(A4x2(A4xA4).2).2", "6.(A4x2(A4xA4).2).2", ],
[ # fusions to (2x3^5).U4(2).2
"6.(3^5:U4(2):2)", ],
[ # fusions to 2xG2(3)
"2x3.G2(3)", ],
[ # fusions to 2.O7(3)M5
"6.O7(3)M5", ],
[ # fusions to 2x3^(3+3):L3(3)
"2x3.(3^(3+3):L3(3))", ],
[ # fusions to 2x3^(3+3)b:L3(3)
],
[ # fusions to 2.O7(3)M8
"6.O7(3)M8", ],
[ # fusions to 2.O7(3)M9
"6.O7(3)M9", ],
[ # fusions to 2.O7(3)M11
"6.O7(3)M11", ],
[ # fusions to 2.(2^2xU4(2)).2
],
[ # fusions to 2^(1+6)_+:A7
"2^(1+6)_+:3A7", ],
[ # fusions to 2.(S6xS4)
],
[ # fusions to 2.(A4x2(A4xA4).2).2
"6.(A4x2(A4xA4).2).2", ],
[ # fusions to 3.3^5:U4(2):2
"6.(3^5:U4(2):2)", ],
[ # fusions to 3xL4(3).2_2
"3x2.L4(3).2_2", ],
[ # fusions to 3.O7(3)M5
"6.O7(3)M5", ],
[ # fusions to 3.(3^(3+3):L3(3))
],
[ # fusions to 3.O7(3)M8
"6.O7(3)M8", ],
[ # fusions to 3.O7(3)M9
"6.O7(3)M9", ],
[ # fusions to 3xS9
"3xIsoclinic(2.A9.2)", ],
[ # fusions to 3.O7(3)M11
"6.O7(3)M11", ],
[ # fusions to 3x(2^2xU4(2)):2
"3x2.(2^2xU4(2)).2", ],
[ # fusions to 2^6:3A7
"2^(1+6)_+:3A7", ],
[ # fusions to 3xS6xS4
"3x2.(S6xS4)", ],
[ # fusions to 3.(A4x2(A4xA4).2).2
"6.(A4x2(A4xA4).2).2", ],
[ # fusions to 6.(3^5:U4(2):2)
],
[ # fusions to 3x2.L4(3).2_2
],
[ # fusions to 2x3.G2(3)
],
[ # fusions to 6.O7(3)M5
],
[ # fusions to 2x3.(3^(3+3):L3(3))
],
[ # fusions to 3x2.S6(2)
],
[ # fusions to 6.O7(3)M8
],
[ # fusions to 6.O7(3)M9
],
[ # fusions to 3xIsoclinic(2.A9.2)
],
[ # fusions to 6.O7(3)M11
],
[ # fusions to 3x2.(2^2xU4(2)).2
],
[ # fusions to 2^(1+6)_+:3A7
],
[ # fusions to 3x2.(S6xS4)
],
[ # fusions to 6.(A4x2(A4xA4).2).2
],
[ # fusions to 3^6:(L4(3)x2)
"L4(3)x2", ],
[ # fusions to L4(3)x2
"3^6:(L4(3)x2)", ],
[ # fusions to 3^6:2U4(3).2_1
"Isoclinic(2.U4(3).2_1)", ],
[ # fusions to 2^8:O8+(2):2
"O8+(2).2", ],
[ # fusions to 2^8:O8-(2):2
"O8-(2).2", ],
[ # fusions to 3xU3(3).2
],
[ # fusions to 3.G2(3)M2
],
[ # fusions to 3.(3^(1+2)+x3^2):2S4
],
[ # fusions to 3.G2(3)M4
],
[ # fusions to 3.G2(3)M6
],
[ # fusions to 3xL2(8).3
],
[ # fusions to 3x2^3.L3(2)
],
[ # fusions to 3xL2(13)
],
[ # fusions to 3.2^(1+4)+:3^2.2
],
[ # fusions to 2.2^(4+6).(A5x3)
],
[ # fusions to Isoclinic(2xU3(4).2)
],
[ # fusions to Isoclinic(2xU3(3).2)
],
[ # fusions to 2.A5xA5
],
[ # fusions to U3(5)M2
"3.U3(5)M2", ],
[ # fusions to U3(5)M3
"3.U3(5)M3", ],
[ # fusions to U3(5)M6
"3.U3(5)M6", ],
[ # fusions to U3(5)M7
"3.U3(5)M7", ],
[ # fusions to 3.U3(5)M2
],
[ # fusions to 3.U3(5)M3
],
[ # fusions to 3x5^(1+2)_+:8
],
[ # fusions to 3.U3(5)M6
],
[ # fusions to 3.U3(5)M7
],
[ # fusions to 2.2^(3+3):7
"2^2.2^(3+3):7", ],
[ # fusions to 2x13:4
"2^2x13:4", ],
[ # fusions to 2^2.2^(3+3):7
],
[ # fusions to 2^2x13:4
],
[ # fusions to 2^2xD14
],
[ # fusions to L3(7)M2
],
[ # fusions to L3(7)M4
],
[ # fusions to L3(7)M5
],
[ # fusions to 3x7^2:2.L2(7).2
],
[ # fusions to 3.L3(7)M2
],
[ # fusions to 3xL3(2).2
],
[ # fusions to 3.L3(7)M4
],
[ # fusions to 3.L3(7)M5
],
[ # fusions to 3x19:3
],
[ # fusions to 2.(A6xA6).2^2
],
[ # fusions to 2.(A8xA4).2
],
[ # fusions to 2.(A7xA5).2
],
[ # fusions to 2.2^5.S6
],
[ # fusions to 2^(1+6)_-.3^3.S4
],
[ # fusions to 2.3^4.2^3.S4
],
[ # fusions to 2.(2^4:A5)
],
[ # fusions to 2x3^(1+2)+:2A4
],
[ # fusions to (2x3^3).S4`
],
[ # fusions to 2.(2.(A4xA4).2)
],
[ # fusions to 3xF4(2)
"6x2.F4(2)", ],
[ # fusions to 3.2E6(2)M4
"3x2.F4(2)", "(2^2x3).2E6(2)M4", ],
[ # fusions to 3.2E6(2)M5
"6.2E6(2)M5", "(2^2x3).2E6(2)M5", ],
[ # fusions to 3.2E6(2)M8
"6.Fi22", "(2^2x3).2E6(2)M8", ],
[ # fusions to 3.2E6(2)M9
"6.2E6(2)M9", "(2^2x3).2E6(2)M9", ],
[ # fusions to 6xF4(2)
"6x2.F4(2)", ],
[ # fusions to 3x2.F4(2)
"(2^2x3).2E6(2)M4", ],
[ # fusions to 6.2E6(2)M5
"(2^2x3).2E6(2)M5", ],
[ # fusions to 6x2.F4(2)
],
[ # fusions to (2^2x3).2E6(2)M4
],
[ # fusions to (2^2x3).2E6(2)M5
],
[ # fusions to 2x3.Fi22
"2x6.Fi22", ],
[ # fusions to 6.2E6(2)M9
"(2^2x3).2E6(2)M9", ],
[ # fusions to 2x6.Fi22
],
[ # fusions to (2^2x3).2E6(2)M8
],
[ # fusions to (2^2x3).2E6(2)M9
],
[ # fusions to 2.D12
"2.S3", ],
[ # fusions to 2.D14
],
[ # fusions to D16
"D8", "2.D16", ],
[ # fusions to 2.D16
"2.D8", ],
[ # fusions to D18
"2.D18", ],
[ # fusions to 2.D18
],
[ # fusions to 2.D20
"bd10", ],
[ # fusions to D22
"2.D22", ],
[ # fusions to 2.D22
],
[ # fusions to 2.D24
],
[ # fusions to D26
"2.D26", ],
[ # fusions to 2.D26
],
[ # fusions to D28
"2^2xD14", "2.D28", ],
[ # fusions to 2.D28
],
[ # fusions to D30
"2.D30", ],
[ # fusions to 2.D30
],
[ # fusions to D32
"2.D32", ],
[ # fusions to 2.D32
],
[ # fusions to (2x29).14
],
[ # fusions to 2x31:15
],
[ # fusions to 3^3:13
],
[ # fusions to 2x3^3:13
],
[ # fusions to 5^2:12
"(2x5^2).12", ],
[ # fusions to (2x5^2).12
],
[ # fusions to L2(25)M3
"2.L2(25)M3", ],
[ # fusions to 2.L2(25)M3
],
[ # fusions to 2x23:11
],
[ # fusions to 2x19:9
],
[ # fusions to (2x17).8
],
[ # fusions to (2x13).6
"3x(2x13).6", ],
[ # fusions to 6.A6M3
],
[ # fusions to 6.(A4x3).2
],
[ # fusions to 127:7
],
[ # fusions to 9:6
],
[ # fusions to 2^2.[2^9]:(7xS3)
],
[ # fusions to 2^(1+8)_+:L2(8):3
],
[ # fusions to 2^2.[2^9]:(7:3xS3)
],
[ # fusions to 3^(1+2)_+.(2S4x3)
],
[ # fusions to 3^2:2A4x3
],
[ # fusions to 2x(A4x3):2
"NDG(12.M22,3^2)", "2x3.(A4x3):2", "Isoclinic(2x(2.A4x3).2)", ],
[ # fusions to (2^4:S5x3).2
"3x2^4:s5", ],
[ # fusions to 2^3:L3(2)xS3
"3x2^3:L3(2)", ],
[ # fusions to (L2(11)x3).2
"3xL2(11)", ],
[ # fusions to 3^5:(M10x2)
"3^5:M10", ],
[ # fusions to (3xL3(4).2_2).2
],
[ # fusions to M11xS3
],
[ # fusions to 3.2^(2+4):(S3xS3)
"3.2^(2+4):(3x3):2", ],
[ # fusions to 3x2(A4xA4).2^2
],
[ # fusions to 3xM22C2A
],
[ # fusions to 3xJ1
],
[ # fusions to 3xL2(31)
],
[ # fusions to 3xONM8
],
[ # fusions to 3xL3(7).2
],
[ # fusions to 3xONM2
],
[ # fusions to 3x4^3.L3(2)
],
[ # fusions to 3xD8
"6.A6N2", ],
[ # fusions to 3x5:8
],
[ # fusions to (3xL2(16):2).2
"L2(16).4", ],
[ # fusions to [2^20]:(S3xL3(2))
"2.F4(2)M5", ],
[ # fusions to 2.F4(2)M5
],
[ # fusions to F4(2)M6
],
[ # fusions to 2.F4(2)M6
],
[ # fusions to F4(2)M13
],
[ # fusions to (L3(2)xL3(2)):2
],
[ # fusions to 2^(2+11+22).(M24xS3)
],
[ # fusions to 2^[39].(L3(2)x3.S6)
],
[ # fusions to [2^20]:A6.2^2
],
[ # fusions to [2^22]:(S3xS3):2
],
[ # fusions to 2F4(2)x2
],
[ # fusions to (S6wr2).2
],
[ # fusions to F4(2).2M8
],
[ # fusions to (L3(2)xL3(2)).4
],
[ # fusions to 2^(5+10+20).(S3xL5(2))
],
[ # fusions to 2^4:s5
"A5.2", "2^4:A5", "2.M22M5", "4.M22M5", ],
[ # fusions to 2.M22M5
"4.M22M5", ],
[ # fusions to 2.S4
"3^4.(3xSL(2,3)).2", "(SL2(3)x7:3).2", "(2.A4x2.G2(4)).2", "2.L2(3)", ],
[ # fusions to 23:11
],
[ # fusions to 2^3:sl(3,2)
"2^(3+3+3).L3(2)", "P13/G1/L2/V1/ext2", "P13/G1/L2/V1/ext3",
"P13/G1/L6/V1/ext2", "L3(2)", "2^(1+3):L3(2)", ],
[ # fusions to 2^4:(3xA5).2
"j3m4", ],
[ # fusions to 2^4:a6
"A6", "P1/G1/L1/V1/ext2", "2.M22M2", "3.M22M2", "4.M22M2", "6.M22M2",
"12.M22M2", "2^4:3^2:4", ],
[ # fusions to 2.M22M2
"4.M22M2", "6.M22M2", "12.M22M2", ],
[ # fusions to 3.M22M2
"6.M22M2", "12.M22M2", ],
[ # fusions to 4.M22M2
"12.M22M2", ],
[ # fusions to 6.M22M2
"12.M22M2", ],
[ # fusions to 12.M22M2
],
[ # fusions to 2^4:3.S6
"3.M22M2", ],
[ # fusions to 2^4:a7
"A7", "2^4:a6", "3.2^4:a7", "2^(1+3):L3(2)", "2^(2+4):(3x3):2", ],
[ # fusions to 3.2^4:a7
"3.2^(2+4):(3x3):2", ],
[ # fusions to 3.McLM10
"3.2^(2+4):(3x3):2", ],
[ # fusions to 2xA7
"2x(3.A7)", "2.(2xA7)", ],
[ # fusions to 2x(3.A7)
],
[ # fusions to 2.(2xA7)
"2.(2x3.A7)", ],
[ # fusions to 2.(2x3.A7)
],
[ # fusions to 3x2^4:s5
],
[ # fusions to 4.M22M5
],
[ # fusions to 3x2.M22M5
"3x4.M22M5", ],
[ # fusions to 3x4.M22M5
],
[ # fusions to 2x2^3:L3(2)
"2^3:sl(3,2)", "4.M22M6", "6x2^3:L3(2)", ],
[ # fusions to 2x2^3:L3(2)x2
],
[ # fusions to (2xA6).2^2
],
[ # fusions to 3x2^3:L3(2)
],
[ # fusions to 4.M22M6
],
[ # fusions to 6x2^3:L3(2)
],
[ # fusions to 3x4.M22M6
],
[ # fusions to (4xA6).2_3
"12.M22M7", ],
[ # fusions to 6.M22M7
],
[ # fusions to 12.M22M7
],
[ # fusions to 2xL2(11)
"2.(2xL2(11))", "6xL2(11)", ],
[ # fusions to 2xL2(11).2
],
[ # fusions to 3xL2(11)
"6xL2(11)", "3x2.(2xL2(11))", ],
[ # fusions to 2.(2xL2(11))
],
[ # fusions to 6xL2(11)
],
[ # fusions to 3x2.(2xL2(11))
],
[ # fusions to McLM10
"3.McLM10", "2^(2+4):(3x3):2", ],
[ # fusions to 2^4:a8
"A8", "2^4:a7", "2^10.A8", ],
[ # fusions to 2^6:(psl(3,2)xs3)
],
[ # fusions to 2^6:3.s6
"3.A6.2_1", ],
[ # fusions to 2xS5
"S5xS3", ],
[ # fusions to 3^2.2.S4
],
[ # fusions to 4^2:D12
"2^2.(U3(3).2xS4)", "4^2:s3", ],
[ # fusions to 4^2:D12.2
"4^2:D12", ],
[ # fusions to A4xS3
"2^(4+8):(A4xS3)", "2.A4xS3", ],
[ # fusions to M12M7
"2.M12M7", ],
[ # fusions to M22.2M4
"(2^4:S5x3).2", "2^4:s5", ],
[ # fusions to M8.S4
],
[ # fusions to S4xS3
"(A4x3):2", "A4xS3", ],
[ # fusions to 2xM11
"2x3^6.M11", "LyM6", "3^5:(M11x2)", "3^6:(M11x2)", "2x3^5:M11",
"3^5:(2xm11)", ],
[ # fusions to 2.HSM9
],
[ # fusions to 2.M12M2
],
[ # fusions to 2.A11M7
],
[ # fusions to 2.M12M4
],
[ # fusions to 2x3^2.2.S4
],
[ # fusions to 2.M12M7
],
[ # fusions to 2.M12M8
],
[ # fusions to 2.M12M9
],
[ # fusions to 2.M12M10
],
[ # fusions to 2.A4xS3
],
[ # fusions to (2^2xSz(8)):3
"2.(2^2xSz(8)):3", ],
[ # fusions to (3^2:4xa6).2
"(3^2:4x2.A6).2", "(3^(1+2):4xA6).2", "(3^(1+2):4x2.A6).2", ],
[ # fusions to (3^2:4x2.A6).2
"(3^(1+2):4x2.A6).2", ],
[ # fusions to (3xG2(3)):2
],
[ # fusions to (D10xU3(5)).2
"(D10xU3(5)N2).2", ],
[ # fusions to (a4xpsl(3,4)):2
"2.(A4xL3(4)).2", "(A4x3.L3(4)).2", "6.SuzM8", ],
[ # fusions to 2.(A4xL3(4)).2
"6.SuzM8", ],
[ # fusions to (a6xa5).2
"(3.A6xA5):2", "(A6x2.A5).2", "(3.A6x2.A5).2", ],
[ # fusions to 2.(2^2xSz(8)):3
],
[ # fusions to 2.2.2^4+6:S5
],
[ # fusions to 2xA8
],
[ # fusions to 2.2^3+8:L3(2)
],
[ # fusions to 2.2^4+6:S5
"2.2.2^4+6:S5", ],
[ # fusions to 2.2^6:u3(3):2
],
[ # fusions to 2.RuM1
],
[ # fusions to 2^(1+8).(A5xA5).2
"2^(1+8)_+.(2xA5)", "2^(1+8)_+.(A4xA5)", "2^(1+8)_+.(A4xA4).2", ],
[ # fusions to 2^1+6.psl(3,2)
],
[ # fusions to 2^1+6.u4q2
"2.SuzM4", "3x2.SuzM4", ],
[ # fusions to 2.SuzM4
],
[ # fusions to 2^1+8.a9
"2^1+8.2.A9", ],
[ # fusions to 2^1+8.2.A9
],
[ # fusions to 2^2+8(a5xs3)
"2.SuzM9", ],
[ # fusions to 2.SuzM9
],
[ # fusions to (2xL3(3)).2
],
[ # fusions to 2^2.psl(3,4).s3
"2^2.L3(4).2_2", "2^2.L3(4).3", "7:3xS4", "2^6:(3xA5):2", "hed3", ],
[ # fusions to 2^3+8:L3(2)
"2.2^3+8:L3(2)", ],
[ # fusions to 2^3.2^2.2^6.(3xL3(2))
"2^(2+1+2+4+2).(3xS4)", ],
[ # fusions to 2^4+6:3a6
"2.SuzM7", ],
[ # fusions to 2.SuzM7
],
[ # fusions to 2^4.s6
"2^4:a6", "2.2^4.S6", "2^4.(S4x2)", ],
[ # fusions to U4(3).2_1M10
"U4(3)M9", ],
[ # fusions to 2^5.S6
"2^4.s6", ],
[ # fusions to 2.2^4.S6
],
[ # fusions to 2^4.(S4x2)
],
[ # fusions to 2^5.psl(5,2)
],
[ # fusions to 2^6.U4(2)
],
[ # fusions to 2^6.U4(2).2
"2^6.U4(2)", ],
[ # fusions to 2^6:u3(3):2
"2.2^6:u3(3):2", ],
[ # fusions to 2xa6.2^2
"2.HSM11", ],
[ # fusions to U4(3).(2^2)_{133}M11
],
[ # fusions to U4(3).(2^2)_{133}M12
],
[ # fusions to (2xA6.2^2).2
"2xa6.2^2", ],
[ # fusions to 2.HSM11
],
[ # fusions to 3.3^(1+4):2S5
"3.3^4.3^2.Q8", ],
[ # fusions to 3.3^(1+4):4S5
"3.3^(1+4):2S5", ],
[ # fusions to 2^(1+3):L3(2)
"2^(1+1+2+2):S3", ],
[ # fusions to 2^(2+4):(3x3):2
"3.2^(2+4):(3x3):2", "2^(1+1+2+2):S3", ],
[ # fusions to 3.2^(2+4):(3x3):2
],
[ # fusions to 2^(1+1+2+2):S3
],
[ # fusions to 2^(2+4).S3
],
[ # fusions to 2^(2+4).(S3x2)
"J2N2", "J3N2", ],
[ # fusions to 3.ONM5
],
[ # fusions to 31:15
],
[ # fusions to 31:30
"31:15", ],
[ # fusions to 37:18
],
[ # fusions to 47:23
],
[ # fusions to 3^(1+4):2S5
"3.3^(1+4):2S5", "3^4.3^2.Q8", ],
[ # fusions to 3^(1+4):4A5
"HNN3", ],
[ # fusions to 3^(1+4):4S5
"3.3^(1+4):4S5", "3^(1+4):2S5", ],
[ # fusions to 3^(1+6):2^(3+4):3^2:2
"3.3^(1+6):2^(3+4):3^2:2", "2.(3^(1+6):2^(3+4):3^2:2)", ],
[ # fusions to 3^(1+6)_+:2^(3+4):(S3xS3)
"3^(1+6):2^(3+4):3^2:2", ],
[ # fusions to 3^(2+4):2A5.D8
"3.3^(1+4):4S5", ],
[ # fusions to 3^2+4:2(2^2xa4)2
"3.3^(2+4):2(A4x2^2).2", "2.SuzM11", "6.SuzM11", ],
[ # fusions to 3^4:2(A4xA4).4
"3^4.(3xSL(2,3)).2", ],
[ # fusions to 3^4:m10
"A6.2_3", "3^5:M10", "3^4.3^2.Q8", "3^4:A6", ],
[ # fusions to 3^5:M10
"3.3^4.3^2.Q8", ],
[ # fusions to 3^4.3^2.Q8
"3.3^4.3^2.Q8", ],
[ # fusions to 3.3^4.3^2.Q8
],
[ # fusions to 3xL3(4).2_2
],
[ # fusions to 3x2.A8
],
[ # fusions to 3xM11
],
[ # fusions to 3xONM11
],
[ # fusions to 3x5^(1+2):3:8
],
[ # fusions to 3^5:2S6
],
[ # fusions to 3^5:M11
"M11", "3^6.M11", ],
[ # fusions to 3^6.M11
],
[ # fusions to 3x2.SuzM4
],
[ # fusions to 2x3^6.M11
],
[ # fusions to 3x2.J2.2
],
[ # fusions to 3x2.SuzM7
],
[ # fusions to 3x2.SuzM9
],
[ # fusions to 3xIsoclinic(2.M12.2)
],
[ # fusions to 4.2^4.S5
"2.HSM10", "4.2^4:(2xS3)", "4.2^4", "4.2^4:S4", ],
[ # fusions to 2^(1+6)_+:S5
"4.2^4.S5", ],
[ # fusions to 2.HSM10
],
[ # fusions to 4.2^4:(2xS3)
"S4x2^2", ],
[ # fusions to 4.2^4
],
[ # fusions to S4x2^2
],
[ # fusions to 4.2^4:S4
],
[ # fusions to J1x2
],
[ # fusions to 7^(1+2)_+:(3xD16)
"3.ON.2N7", "7^(1+2):(D8x3)", ],
[ # fusions to 4^3.L3(2)
],
[ # fusions to (3^2:4xA6).2^2
"3.ON.2M4", "ONM5", ],
[ # fusions to 4^3.(L3(2)x2)
"4^3.L3(2)", ],
[ # fusions to 4^3:psl(3,2)
"2.4^3.L3(2)", "4^3:S4", ],
[ # fusions to 4^3:(L3(2)x2)
"4^3:psl(3,2)", ],
[ # fusions to 2.4^3.L3(2)
],
[ # fusions to 4^3:S4
],
[ # fusions to 5:4xa5
"5:4x2.A5", "5:4xA4", ],
[ # fusions to 5:4xS5
"6x5:4xS5", "5:4xa5", "(A5xD10).2", ],
[ # fusions to 5:4x2.A5
],
[ # fusions to 5:4xA4
"NDG(2.HS,Q8)", "5:4x2^2", ],
[ # fusions to 5:4x2^2
],
[ # fusions to A4xC4
],
[ # fusions to D8xV4
],
[ # fusions to 5^(1+4):2^(1+4).5.4
"HNN5", "2.HS.2N5", ],
[ # fusions to 5^(1+4):4S6
"5^(1+4):4.3^2:D8", ],
[ # fusions to 5^2.5.5^2.4A5
"HNN5", ],
[ # fusions to 5^2:4s5
],
[ # fusions to 2xU3(5).2
],
[ # fusions to L2(25).(2x4)
],
[ # fusions to 2x5^2:4S5
],
[ # fusions to 3.A6.(2x4)
],
[ # fusions to Isoclinic(L2(13).2x2)
],
[ # fusions to 5^3.psl(3,5)
],
[ # fusions to 67:22
],
[ # fusions to 7:3xpsl(3,2)
],
[ # fusions to 7^2:(3x2S4)
"(7^2:(3x2A4)xL2(7)).2", "7^2:(3x2A4)", "BN7", ],
[ # fusions to 7^2:2psl(2,7)
"7^(1+2).Sp(2,7)", ],
[ # fusions to LyM6
"3^5:M11", ],
[ # fusions to ONM5
"3.ONM5", ],
[ # fusions to ThM7
],
[ # fusions to ThN3B
],
[ # fusions to s4xpsl(3,2)
],
[ # fusions to 2^(1+6)_+.L3(2).2
"2^1+6.psl(3,2)", ],
[ # fusions to S4xL3(2).2
"s4xpsl(3,2)", ],
[ # fusions to 7:6xL3(2)
"7:3xpsl(3,2)", ],
[ # fusions to 2^(1+6)_-.U4(2).2
"2^1+6.u4q2", "(3x2^(1+6)_-.U4(2)).2", ],
[ # fusions to 3^5:(M11x2)
"3^5:M11", "3^6:(M11x2)", ],
[ # fusions to J2.2x2
"J2.2", "S3xJ2.2", ],
[ # fusions to 2^(4+6):3S6
"2^4+6:3a6", "(3x2^(4+6):3A6).2", ],
[ # fusions to (A4xL3(4):2_3):2
"(a4xpsl(3,4)):2", "(A4x3.L3(4).2_3).2", ],
[ # fusions to 2^(2+8):(S5xS3)
"2^2+8(a5xs3)", "(3x2^(2+8):(A5xS3)).2", ],
[ # fusions to M12.2x2
"M12.2", "S3xM12.2", ],
[ # fusions to 3^(2+4):2(S4xD8)
"3^2+4:2(2^2xa4)2", "3.3^(2+4):2(S4xD8)", ],
[ # fusions to (A6:2_2xA5).2
"(a6xa5).2", "(3.A6.2_2xA5):2", ],
[ # fusions to (3^2:8xA6).2
"(3^2:4xa6).2", "(3^(1+2):8xA6).2", ],
[ # fusions to 3xG2(4)
"3x2.G2(4)", ],
[ # fusions to 3x2.G2(4)
],
[ # fusions to 2xU5(2)
"2^2xU5(2)", "2^2x3xU5(2)", "6xU5(2)", ],
[ # fusions to 3xU5(2)
"2^2x3xU5(2)", "6xU5(2)", ],
[ # fusions to 3x2^(1+6)_-.U4(2)
"3x2.SuzM4", ],
[ # fusions to 3xJ2.2
"3x2.J2.2", ],
[ # fusions to 3x2^(4+6).3A6
"3x2.SuzM7", ],
[ # fusions to (A4x3.L3(4)).2
"6.SuzM8", ],
[ # fusions to 3x2^(2+8):(A5xS3)
"3x2.SuzM9", ],
[ # fusions to 3xM12.2
"3xIsoclinic(2.M12.2)", ],
[ # fusions to 3.3^(2+4):2(A4x2^2).2
"6.SuzM11", ],
[ # fusions to (3.A6xA5):2
"(3.A6x2.A5).2", ],
[ # fusions to (3^(1+2):4xA6).2
"(3^(1+2):4x2.A6).2", ],
[ # fusions to 3xL3(3).2
"3x(2xL3(3)).2", ],
[ # fusions to 3xL2(25)
"3x2.L2(25)", ],
[ # fusions to (3xG2(4)).2
"3xG2(4)", "(A4xG2(4)):2", ],
[ # fusions to (3xU5(2)).2
"3xU5(2)", "U72CT", ],
[ # fusions to (3x2^(1+6)_-.U4(2)).2
"3x2^(1+6)_-.U4(2)", ],
[ # fusions to 3^6:(M11x2)
"3^6.M11", ],
[ # fusions to S3xJ2.2
],
[ # fusions to (3x2^(4+6):3A6).2
"3x2^(4+6).3A6", ],
[ # fusions to (A4x3.L3(4).2_3).2
"(A4x3.L3(4)).2", ],
[ # fusions to (3x2^(2+8):(A5xS3)).2
"3x2^(2+8):(A5xS3)", ],
[ # fusions to S3xM12.2
],
[ # fusions to 3.3^(2+4):2(S4xD8)
"3.3^(2+4):2(A4x2^2).2", ],
[ # fusions to (3.A6.2_2xA5):2
"(3.A6xA5):2", ],
[ # fusions to (3^(1+2):8xA6).2
"(3^(1+2):4xA6).2", ],
[ # fusions to (3xL2(25)).2_2
"3xL2(25)", ],
[ # fusions to 3^4:(M10x2)
"3^5:(M10x2)", "3^4:m10", ],
[ # fusions to 2x3^5:M11
"2x3^6.M11", ],
[ # fusions to 2.SuzM11
"6.SuzM11", ],
[ # fusions to 6.SuzM8
],
[ # fusions to 6.SuzM11
],
[ # fusions to 3x(2xL3(3)).2
],
[ # fusions to 3x2.L2(25)
],
[ # fusions to (3^(1+2):4x2.A6).2
],
[ # fusions to (A6x2.A5).2
"(3.A6x2.A5).2", ],
[ # fusions to (3.A6x2.A5).2
],
[ # fusions to 2xU5(2).2
"3^(1+12).(2xU5(2).2)", ],
[ # fusions to Isoclinic(S8x2)
],
[ # fusions to Isoclinic(U3(5).2x2)
"(D10xU3(5)).2", ],
[ # fusions to 2.HSM3
],
[ # fusions to 2^(1+8)_+.(A5xA5).2^2
"2^(1+8).(A5xA5).2", ],
[ # fusions to 5:4xU3(5):2
"5:4xU3(5).2N2", "(D10xU3(5)).2", ],
[ # fusions to 5^(1+4)_+:(4Y2^(1+4)_-.5.4)
"5^(1+4):2^(1+4).5.4", ],
[ # fusions to (S6xS6).2^2
"(A6xA6).D8", ],
[ # fusions to 2^3.2^2.2^6.(S3xL3(2))
"2^3.2^2.2^6.(3xL3(2))", ],
[ # fusions to 5^2.5.5^2.4S5
"5^2.5.5^2.4A5", ],
[ # fusions to 3^4:2(S4xS4).2
"3^4:2(A4xA4).4", ],
[ # fusions to HN.2M13
"HN.2N3", "3^(1+4):4A5", ],
[ # fusions to (A4xG2(4)):2
"2.(A4xG2(4)).2", ],
[ # fusions to (A5xJ2):2
"2.(A5xJ2).2", ],
[ # fusions to (A6xU3(3)):2
"D8xU3(3).2", "(2.A6xU3(3)).2", "S4xU3(3).2", ],
[ # fusions to (A7xL2(7)):2
"(2.A7xL2(7)).2", ],
[ # fusions to (D10x(A5xA5).2).2
"(D10x2.(A5xA5).2).2", ],
[ # fusions to 2.2^11:M24
],
[ # fusions to 2^(1+8)+.O8+(2)
"(2x2^(1+8)_+).O8+(2)", ],
[ # fusions to 2^(2+12):(A8xS3)
"2.2^(2+12):(A8xS3)", ],
[ # fusions to 2^(4+10)(S5xS3)
],
[ # fusions to 2^(4+12).(S3x3S6)
"2.2^(4+12).(S3x3S6)", "2^(4+12).(S3x3^(1+2)_+:D8)", ],
[ # fusions to 2^1+4+6.a8
],
[ # fusions to 2^1+8:s6f2
"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", ],
[ # fusions to 2^10:m22:2
"2^10.2^3.2^3.S3", "M22.2", "2^10:(2^5:s5)", ],
[ # fusions to 2^11:M24
"M24", "2.2^11:M24", ],
[ # fusions to 2^2.[2^7*3^2].S3
],
[ # fusions to 2^4.a8
],
[ # fusions to 2xm12
],
[ # fusions to 3^(3+4):2(S4xS4)
"3^(3+4):(2.S4)^2", ],
[ # fusions to 3^1+4:2^1+4.s5
],
[ # fusions to 3^1+4:4s6
"Co3N3", ],
[ # fusions to 3^5:(2xm11)
],
[ # fusions to 3^6:2M12
"2.M12", ],
[ # fusions to 5^(1+2):GL2(5)
"2x5^(1+2):GL2(5)", "Co1N5", ],
[ # fusions to 5^2:2A5
],
[ # fusions to 5^3:(4xS5)
"5^3:(4x(2xA5).2)", ],
[ # fusions to A9xS3
"2.A9xS3", ],
[ # fusions to a4xs5
],
[ # fusions to s3xpsl(2,8).3
],
[ # fusions to 2xCo2
],
[ # fusions to 2xCo3
],
[ # fusions to 2xU6(2).3.2
],
[ # fusions to 2x3^6:2.M12
],
[ # fusions to 2.A9xS3
],
[ # fusions to 2x5^2:2A5
],
[ # fusions to (2^2x2^(1+8)).(3xU4(2)).2
],
[ # fusions to (3xO8+(3):3):2
],
[ # fusions to (A4xO8+(2).3).2
"F3+N5", ],
[ # fusions to (A5xA9):2
],
[ # fusions to 29:14
"(2x29).14", ],
[ # fusions to 2^(5+8):(S3xA6)
"2^(5+8):(S3x3.A6)", "2^(1+5+8).(S3xA6)", "f22s2", ],
[ # fusions to 2^(1+5+8).(S3xA6)
"2.Fi22N2", ],
[ # fusions to 2x2F4(2)'
],
[ # fusions to 2^(6+8):(A7xS3)
],
[ # fusions to 2x3.O7(3)
],
[ # fusions to 6.Fi22M3
],
[ # fusions to 2xO7(3)
"2x3^(3+3):L3(3)", "2x3.O7(3)", "S3xO7(3)", ],
[ # fusions to 2.Fi22M3
],
[ # fusions to 3^(1+8).2^(1+6).3^(1+2).2S4
],
[ # fusions to 7:6xA7
],
[ # fusions to A6xL2(8):3
],
[ # fusions to Fi23M8
"Fi23N3", ],
[ # fusions to S3xO7(3)
"S3x13:6", ],
[ # fusions to S3xU4(3).(2^2)_{122}
"S3xU4(3).2_2", "(S3x2.U4(3).2_2).2", ],
[ # fusions to 2xS3xU4(3).(2^2)_{122}
"2xS3xU4(3).2_2", ],
[ # fusions to S3x2.U4(3).2_2
"S3x6_1.U4(3).2_2", ],
[ # fusions to 2xS3x2.U4(3).2_2
],
[ # fusions to S3xU4(3).2_2
"S3x6_1.U4(3).2_2", "S3x3_1.U4(3).2_2", "S3x2.U4(3).2_2", ],
[ # fusions to 2xS3xU4(3).2_2
"2xS3x2.U4(3).2_2", ],
[ # fusions to S4xS6(2)
"D8xS6(2)", ],
[ # fusions to O8+(2):S3x2
"2xFi22N5", "6xO8+(2):S3", ],
[ # fusions to 3xO8+(2):S3
"6xO8+(2):S3", ],
[ # fusions to 6xO8+(2):S3
"6xFi22N5", ],
[ # fusions to 2x2.U4(3).2_2
"2x6_1.U4(3).2_2", ],
[ # fusions to 2^2.U4(3).(2^2)_{122}
"2x2.U4(3).2_2", "(S3x2.U4(3).2_2).2", "2.U4(3).(2^2)_{122}", ],
[ # fusions to 2xU4(3).(2^2)_{122}
"2^2.U4(3).(2^2)_{122}", "2xU4(3).2_2", ],
[ # fusions to 3x2.U4(3).(2^2)_{122}
],
[ # fusions to (S3x2.U4(3).2_2).2
"3x2.U4(3).(2^2)_{122}", ],
[ # fusions to (2x2^(1+8)):U4(2):2
"2.(2x2^(1+8)):U4(2):2", ],
[ # fusions to (2x2^(1+8)):(U4(2):2x2)
"(2x2^(1+8)):U4(2):2", "3.(2x2^(1+8)):(U4(2):2x2)", ],
[ # fusions to 2.(2x2^(1+8)):U4(2):2
],
[ # fusions to 3x(2x2^(1+8)):U4(2):2
],
[ # fusions to 3xA10.2
],
[ # fusions to 3xM12
],
[ # fusions to 3.(2x2^(1+8)):(U4(2):2x2)
"3x(2x2^(1+8)):U4(2):2", ],
[ # fusions to 3x2F4(2)'
],
[ # fusions to Fi22.2M4
"M22.2", "2^10:m22", ],
[ # fusions to 2.(3^(1+6):2^(3+4):3^2:2)
],
[ # fusions to 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", ],
[ # fusions to 2^(1+12).3_1.U4(3).2_2'
"3.2^(1+12).3U4(3).2", ],
[ # fusions to 2^12.3^2.U4(3).2_2'
"3.2^(1+12).3U4(3).2", ],
[ # fusions to 3.2^(1+12).3U4(3).2
],
[ # fusions to 3^3.[3^10].GL3(3)
],
[ # fusions to 2^12.M24
"F3+M7", ],
[ # fusions to 3xFi23
],
[ # fusions to 2^(5+8):(S3xS6)
"2^(5+8):(S3xA6)", ],
[ # fusions to 3^5:(2xU4(2).2)
"3^5:U4(2):2", ],
[ # fusions to 2.[2^6]:(S3xS3)
"2.[2^6].(2xS3)", "2^2.[2^6].(S3xS3)", ],
[ # fusions to 2^5:S6
"2.(2^5:S6)", "2.2^5.S6", ],
[ # fusions to 2^6:L3(2)
"2^6:S4a", "2^6:S4b", "2.2^6.L3(2)", ],
[ # fusions to S3xS6
"S3x5:4", "S6xS4", "2.(S3xS6)", "2^(5+8):(S3xS6)", "2^(3+8):(S3xS6)", ],
[ # fusions to (2^6x2^8):S6(2)
"(2^(1+8)x2^6):S6(2)", ],
[ # fusions to (2^(1+8)x2^6):S6(2)
"2.F4(2)M1", ],
[ # fusions to 2.F4(2)M1
],
[ # fusions to F4(2)M2
],
[ # fusions to 2.F4(2)M2
],
[ # fusions to 3^6:L3(3)
"L3(3)", ],
[ # fusions to 3^(3+4):2(S4xA4)
],
[ # fusions to A4xU4(2)
"2.(A4xU4(2))", ],
[ # fusions to 2.(A4xU4(2))
],
[ # fusions to 2^(2+6):3^3:S3
],
[ # fusions to 2xU3(3).2
],
[ # fusions to (2x3.A6).2
],
[ # fusions to (2xL3(2)).2
],
[ # fusions to (3xM10):2
"3.(3xM10):2", "j3m6", ],
[ # fusions to 11:10
"(A4x11:5).2", "2x11:10", "(11:5xM12):2", "11:20", "3x11:20",
"(2^2x11:5).2", "(11:5xD12).2", "11:5", ],
[ # fusions to 13:6
"6x13:6", "3x(2x13).6", "(2x13).6", ],
[ # fusions to 19:18
"19:6", "19:9", ],
[ # fusions to 19:6
],
[ # fusions to 2.J2M8
],
[ # fusions to 2A4xA5
"2.L2(3)", ],
[ # fusions to 2A5xD10
],
[ # fusions to (2.A5xD10).2
"3x(2.A5xD10).2", "2A5xD10", ],
[ # fusions to 2^(1+4).S5
"2^1+4b:a5", ],
[ # fusions to 2^(2+4):(S3xS3)
"3.2^(2+4):(S3xS3)", "2^(2+4):(3x3):2", "2^2+4.3xs3", ],
[ # fusions to 2^1+4b:a5
"2^{1+4}_-:2A5", ],
[ # fusions to 2^2+4.3xs3
"2^4:A4b", "2^{3+4}:(3xS3)", ],
[ # fusions to 2^{1+4}_-:2A5
],
[ # fusions to 2^{3+4}:(3xS3)
],
[ # fusions to 2xA5
"a5xd10", "3^4:(2xA5)", ],
[ # fusions to 2xU3(3)
],
[ # fusions to 37:12
],
[ # fusions to 3^2.3^(1+2):8.2
"3^3.3^(1+2):8.2", "3^2.3^(1+2):8", ],
[ # fusions to 3x2^4:(3xA5)
],
[ # fusions to 3xL2(16).2
],
[ # fusions to 3xL2(19)
],
[ # fusions to 3xL2(17)
],
[ # fusions to 43:14
],
[ # fusions to 5^2:D12
"2.J2M8", ],
[ # fusions to 7:6
"(7:3xA5):2", "7:12", "(7:3xL2(7)):2", "(SL2(3)x7:3).2", "(SL(2,3)x7:3).2",
"(7:3xA7):2", "(7:3x2.A7):2", "(7:3x2.L3(4).2).2", "7:3", "D14",
"(7:3xHe):2", "Co2N7", ],
[ # fusions to D6xD10
],
[ # fusions to (2^2xA5):2
"2xS5", ],
[ # fusions to 2^3.(S4x2)
"M8.S4", ],
[ # fusions to F3+M7
],
[ # fusions to J4M4
],
[ # fusions to L2(17)x2
],
[ # fusions to a4xa5
"2A4xA5", ],
[ # fusions to a5xd10
"2A5xD10", ],
[ # fusions to D10xA5
"2.D10xA5", ],
[ # fusions to c2aj4
],
[ # fusions to frob
"29:14", ],
[ # fusions to j3m4
"2^4:A5", "2^(4+4):(3xA5)", ],
[ # fusions to j3m6
"3x(3xA6):2_2", ],
[ # fusions to 2^10:L5(2)
"L5(2)", ],
[ # fusions to O10+(2)M4
],
[ # fusions to (3xO8-(2)):2
],
[ # fusions to (A5xU4(2)):2
],
[ # fusions to mx1j4
"M24", "2^11.2^6.3^(1+2).D8", ],
[ # fusions to (A4xA5):2
"2.(A5xA4).2", "S4xS3", "a4xa5", ],
[ # fusions to (A5xD10).2
"3x(2.A5xD10).2", "(2.A5xD10).2", "a5xd10", ],
[ # fusions to (D10xA5).2
"D10xA5", ],
[ # fusions to O8+(2)N5C
],
[ # fusions to (A5xA5):2
"(2.A5xA5):2", ],
[ # fusions to (2.A5xA5):2
],
[ # fusions to L3(2).2x2
],
[ # fusions to 3^5.U4(2)
"3.3^5.U4(2)", ],
[ # fusions to 3.3^5.U4(2)
],
[ # fusions to C9Y3.3^5.U4(2)
],
[ # fusions to 2^24.Co1
"2^1+24.Co1", ],
[ # fusions to 2^1+24.Co1
"2^1+24.2.Co1", ],
[ # fusions to 2^1+24.2.Co1
],
[ # fusions to 2xF4(2)
"6x2.F4(2)", "2^2xF4(2)", "2x2.F4(2)", ],
[ # fusions to 2^2xF4(2)
],
[ # fusions to 2xF4(2).2
"2xF4(2)", "(2^2xF4(2)):2", ],
[ # fusions to (2^2xF4(2)):2
"2^2xF4(2)", ],
[ # fusions to 2x2.F4(2)
"6x2.F4(2)", ],
[ # fusions to 2^2.2E6(2)M4
"(2^2x3).2E6(2)M4", ],
[ # fusions to 2^2.2E6(2)M5
"(2^2x3).2E6(2)M5", ],
[ # fusions to 2.2E6(2)M5
"6.2E6(2)M5", "(2^2x3).2E6(2)M5", "2^2.2E6(2)M5", ],
[ # fusions to 2E6(2)M4
"2.F4(2)", "3.2E6(2)M4", "3x2.F4(2)", "(2^2x3).2E6(2)M4", "2^2.2E6(2)M4", ],
[ # fusions to 2E6(2)M5
"3.2E6(2)M5", "6.2E6(2)M5", "(2^2x3).2E6(2)M5", "2^2.2E6(2)M5",
"2.2E6(2)M5", ],
[ # fusions to S3xFi22.2
"(S3x2.Fi22).2", ],
[ # fusions to 2xFi22
"2x6.Fi22", "2x2.Fi22", ],
[ # fusions to 2xFi22.2
"S3xFi22.2", "2xFi22", "2^2.Fi22.2", ],
[ # fusions to 2x2.Fi22
"2x6.Fi22", ],
[ # fusions to 2^2.2E6(2)M8
"(2^2x3).2E6(2)M8", ],
[ # fusions to 2^2.2E6(2)M9
"(2^2x3).2E6(2)M9", ],
[ # fusions to 2.2E6(2)M9
"6.2E6(2)M9", "(2^2x3).2E6(2)M9", "2^2.2E6(2)M9", ],
[ # fusions to 2E6(2)M8
"2.Fi22", "6.Fi22", "3.2E6(2)M8", "(2^2x3).2E6(2)M8", "2^2.2E6(2)M8", ],
[ # fusions to 2E6(2)M9
"3.2E6(2)M9", "6.2E6(2)M9", "(2^2x3).2E6(2)M9", "2^2.2E6(2)M9",
"2.2E6(2)M9", ],
[ # fusions to (L3(2)xL3(4)).2
],
[ # fusions to (L3(2)xL3(4).2_2).2
"(L3(2)xL3(4)).2", ],
[ # fusions to 2E6(2)N3C
],
[ # fusions to 2E6(2).2N3C
"2E6(2)N3C", ],
[ # fusions to 2^2.Fi22.2
"2.Fi22.2", "2x2.Fi22", "(S3x2.Fi22).2", ],
[ # fusions to 3x2.Fi22.2
],
[ # fusions to (S3x2.Fi22).2
"3x2.Fi22.2", ],
[ # fusions to 2xFi23
],
[ # fusions to 2xTh
"S3xTh", ],
[ # fusions to S3xTh
],
[ # fusions to (3^2:D8xU4(3).2^2).2
"2.(3^2:D8xU4(3).2^2).2", ],
[ # fusions to 2x47:23
],
[ # fusions to 59:29
],
[ # fusions to 41:40
],
[ # fusions to L3(3)xD8
"3^(3+6):(L3(3)xD8)", ],
[ # fusions to 5:4xHS.2
],
[ # fusions to S4x2F4(2)'.2
"(GL(2,3)x2F4(2)').2", ],
[ # fusions to A5.2xM22.2
],
[ # fusions to 5^2:4S4xS5
"(5^2:4S4x2.A5):2", ],
[ # fusions to 3^(3+6):(L3(3)xD8)
],
[ # fusions to 3^6.L4(3).D8
],
[ # fusions to 2^2.(U3(3).2xS4)
],
[ # fusions to 3^(1+8).2^(1+6).U4(2).2
],
[ # fusions to 3^2.3^3.3^6.(S4x2S4)
],
[ # fusions to (S6xL3(4).2).2
],
[ # fusions to 5^(1+4).2^(1+4).A5.4
],
[ # fusions to (S6xS6).4
],
[ # fusions to (D10xHN).2
],
[ # fusions to 7^(1+4):(3x2.S7)
"7^1+4.2A7", ],
[ # fusions to 2^(10+16).O10+(2)
],
[ # fusions to 3^8.O8-(3).2_3
],
[ # fusions to (3^2:2xO8+(3)).S4
"(2xO8+(3)).S4", ],
[ # fusions to (2xO8+(3)).S4
"(3^2:2xO8+(3)).S4", ],
[ # fusions to 3^(2+5+10).(M11x2S4)
],
[ # fusions to 3^(3+2+6+6):(L3(3)xSD16)
],
[ # fusions to (3^(1+2)+x3^2):2S4
"3.(3^(1+2)+x3^2):2S4", ],
[ # fusions to G2(3)M4
"3.G2(3)M4", ],
[ # fusions to 2^(1+4)+:3^2.2
"3.2^(1+4)+:3^2.2", ],
[ # fusions to A5xA5
"2.A5xA5", ],
[ # fusions to 2.(A5xA5).2
],
[ # fusions to 2^(5+5):31
],
[ # fusions to 41:4
],
[ # fusions to 25:4
],
[ # fusions to D62
],
[ # fusions to D24
"(11:5xD12).2", "S3x2", "2.D24", "D120", ],
[ # fusions to D20
"D10", "2.D20", ],
[ # fusions to S3xU4(2)
],
[ # fusions to 2xU4(3).2_2
"2x6_1.U4(3).2_2", "2x2.U4(3).2_2", "2x3_1.U4(3).2_2", ],
[ # fusions to 2x3_1.U4(3).2_2
"2x6_1.U4(3).2_2", ],
[ # fusions to O8+(3)M14
],
[ # fusions to (A4xU4(2)):2
],
[ # fusions to O8+(3)M19
],
[ # fusions to O8+(3)M20
],
[ # fusions to O8+(3)M21
],
[ # fusions to O8+(3)M22
],
[ # fusions to O8+(3)M23
],
[ # fusions to (A6xA6):2^2
"2.(A6xA6).2^2", ],
[ # fusions to O8+(3)M25
],
[ # fusions to O8+(3)M26
],
[ # fusions to (A4wr2^2):2
"O8+(3)M27", ],
[ # fusions to O8+(3)M27
],
[ # fusions to 2^8.A9
"A9", ],
[ # fusions to 2..11.m23
],
[ # fusions to 2.2^8.f20
],
[ # fusions to 2^10:(2^5:s5)
],
[ # fusions to 2^2.2^8:s3
],
[ # fusions to 2.[2^9]:5:4
"2.2^8.f20", ],
[ # fusions to 2^2.[2^9]:S3
"2^2.2^8:s3", ],
[ # fusions to 2^6:u3(3)
"U3(3)", ],
[ # fusions to 2^{1+6}:3^{1+2}:2A4
],
[ # fusions to 2^(4+4):(3xA5)
],
[ # fusions to 3^4:S5
"A5.2", ],
[ # fusions to 3.s7x2
"3.A7.2", ],
[ # fusions to 4.s4
],
[ # fusions to 4^2:s3
],
[ # fusions to A11Syl2
"LyN2", ],
[ # fusions to a4
"2^4:A4", "2.L2(3)", ],
[ # fusions to 2.L2(3)
],
[ # fusions to a5wc2
"2.(A5wr2)", "2^(1+8).(A5xA5).2", "h4", ],
[ # fusions to S4(4)M6
],
[ # fusions to affine
],
[ # fusions to b33141
"2.(2.(A4xA4).2)", ],
[ # fusions to bd10
],
[ # fusions to bd6
],
[ # fusions to bd8
],
[ # fusions to M22C2A
],
[ # fusions to M24C2B
],
[ # fusions to c3d2
],
[ # fusions to D120
],
[ # fusions to esp43t
],
[ # fusions to j2nd2
],
[ # fusions to 2^10:m22
"M22", "2.Fi22M5", "3.Fi22M5", "6.Fi22M5", "2.U6(2)M3", ],
[ # fusions to 2.Fi22M5
"6.Fi22M5", "2^2.U6(2)M3", ],
[ # fusions to 3.Fi22M5
"6.Fi22M5", "6.U6(2)M3", ],
[ # fusions to 6.Fi22M5
],
[ # fusions to 2^6:s6f2
"2^6:U4(2).2", "2^6:S8", "S6(2)", ],
[ # fusions to f22s2
"2.Fi22N2", "3x2.Fi22N2", ],
[ # fusions to g61
],
[ # fusions to g61s1
],
[ # fusions to g72x16
],
[ # fusions to ghh
],
[ # fusions to gl25
"5^(2+2+4):(S3xGL2(5))", "5^2:4s5", "5^(1+2):GL2(5)", "5^(1+4):GL(2,5)", ],
[ # fusions to group2
],
[ # fusions to group3
],
[ # fusions to group5
],
[ # fusions to group6
],
[ # fusions to gs4
],
[ # fusions to h4
],
[ # fusions to hed3
],
[ # fusions to hess
],
[ # fusions to hsd2
],
[ # fusions to m12d2
],
[ # fusions to mo61
"2^4:(S3xS3)", ],
[ # fusions to 2^4:(S3xS3)
"2(A4xA4).2^2", ],
[ # fusions to mo62
"A5.2", "P1/G1/L1/V1/ext2", "2^(1+4).S5", "mo62p", ],
[ # fusions to mo62p
],
[ # fusions to mo81
"2^6:A8", ],
[ # fusions to 2^6:A8
"A8", "2^(3+3+3).L3(2)", "P31/G1/L1/V1/ext2", "(2x2^(1+6)_+).A8",
"2^(1+6)_+.A8", ],
[ # fusions to 2^(1+6)_+.A8
"(2x2^(1+6)_+).A8", "2^2.O8+(2)M5", ],
[ # fusions to ons1
],
[ # fusions to S3xU4(3)
],
[ # fusions to P1L62
"L5(2)", ],
[ # fusions to 2^6:L6(2)
"L6(2)", ],
[ # fusions to P1L82
"L7(2)", ],
[ # fusions to P2L62
],
[ # fusions to 2^10:(L5(2)xS3)
],
[ # fusions to P3L62
],
[ # fusions to 2^12:(L4(2)xL3(2))
],
[ # fusions to P2L82
],
[ # fusions to L3(4)Syl2
],
[ # fusions to M23C2A
"M22C2A", ],
[ # fusions to U72CT
],
[ # fusions to pap
],
[ # fusions to V4
"Q8", ],
[ # fusions to Q8
"C4", "2.M12M8", ],
[ # fusions to M24C2A
],
[ # fusions to s2wrs2
"2.HSN3", ],
[ # fusions to s2wrs3
"A6M5", ],
[ # fusions to s2wrs4
"2^4:A4", "(2^4:A4xA4).2", "2^3.S4v2", ],
[ # fusions to s2wrs5
],
[ # fusions to s3wrs2
"2.A8N3", "3^2:4", "S3xS3", ],
[ # fusions to s3wrs3
"2.(3^3:(S4x2))", "3^3:S4`", ],
[ # fusions to s4
"(A4x11:5).2", "(13:6xA4).2", "(2^4:A4xA4).2", "2.Symm(4)", "3xSymm(4)",
"3x2.Symm(4)", "(a4xpsl(3,4)):2", "a4", ],
[ # fusions to A6M5
"2.A6M5", "3.A6M5", "6.A6M5", ],
[ # fusions to s4wrs2
],
[ # fusions to s5wrs2
"(A7x(A5xA5):2^2):2", "(A5xA5):2^2", ],
[ # fusions to S4wrS3
],
[ # fusions to S3wrS4
],
[ # fusions to 2^6:S6
],
[ # fusions to A8.2N2
"s61p", ],
[ # fusions to s61p
"2^4:D8", ],
[ # fusions to sl25ex
],
[ # fusions to D8x3^2:Q8
"D8x3^(1+2)_+:Q8", "2.(D8x3^2:Q8)", "2.(D8x3^(1+2)_+:Q8)", ],
[ # fusions to suzd2
],
[ # fusions to suzdx
],
[ # fusions to suzs2
],
[ # fusions to twd5a
"3^1+4:2^1+4.s5", "affine", ],
[ # fusions to w(d4)
],
[ # fusions to w(d5)
],
[ # fusions to w(f4)
"2^(1+4)_+.(S3x3^2:2)", "b33141", ],
[ # fusions to 2^4:3^2:4
],
[ # fusions to 2^6:3^(1+2).D8
"3^(1+2):D8", ],
[ # fusions to 3^(1+4):4S4
],
[ # fusions to 2^(4+4).(S3xS3).2
"NRS(M24,2^(4+4))", ],
[ # fusions to 2.2^(2+2).2^(1+1+2+2):S4
],
[ # fusions to 2^(2+1+2).2^(1+1+2).2^2.S4
],
[ # fusions to 2^(4+10).(S4xS3)
],
[ # fusions to 5^(1+4):4.3^2:D8
],
[ # fusions to 2^11.2^6.3^(1+2).D8
],
[ # fusions to 2^(4+12).(S3x3^(1+2)_+:D8)
],
[ # fusions to 3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4
],
[ # fusions to 3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)
],
[ # fusions to 2^12:Sz(8)
],
[ # fusions to 2^10:M22'
"M22", ],
[ # fusions to 2^12:J2
],
[ # fusions to 2.B
"(GL(2,3)x2F4(2)').2", "(QD16x2F4(2)').2", "2.(3^2:D8xU4(3).2^2).2",
"2xBN5", "(5^2:4S4x2.A5):2", "2.BN7", "2xM11", "(S3x2.Fi22).2", "2xFi23",
"2xTh", "2x47:23", "(2xO8+(3)).S4", "2^2.2E6(2).2", ],
[ # fusions to B
"2^(1+22).Co2", "D8x2F4(2)'.2", "Fi23", "L2(11).2", "L2(17).2", "L2(31)",
"L2(49).2_3", "L3(3)", "M11", "[2^30].L5(2)", "2^(9+16).S8(2)",
"[2^35].(S5xL3(2))", "2^(2+10+20).(M22.2xS3)", "2x23:11", "31:15", "47:23",
"5^3.psl(3,5)", "S3xFi22.2", "(3^2:D8xU4(3).2^2).2", "5:4xHS.2",
"S4x2F4(2)'.2", "A5.2xM22.2", "5^2:4S4xS5", "3^(3+6):(L3(3)xD8)",
"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", "2.B", "O8+(3)", "O8+(3).S4", "HN.2",
"Th", "LyN5", "BN7", "Fi23N3", "2.2E6(2).2", ],
[ # fusions to M
"2.(2xF4(2)).2", "(QD16x2F4(2)').2", "(3^(1+2):2^2xG2(3)):2", "MN5",
"(11:5xM12):2", "3.F3+.2", "L2(13).2", "L2(19).2", "L2(29).2", "L2(41)",
"L2(59)", "L2(71)", "3^(1+12).2.Suz.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",
"2^(2+11+22).(M24xS3)", "2^[39].(L3(2)x3.S6)", "2^(5+10+20).(S3xL5(2))",
"7^2:2psl(2,7)", "2^1+24.Co1", "(S3x2.Fi22).2", "S3xTh", "2x47:23",
"59:29", "41:40", "(D10xHN).2", "7^(1+4):(3x2.S7)", "2^(10+16).O10+(2)",
"3^8.O8-(3).2_3", "(3^2:2xO8+(3)).S4", "3^(2+5+10).(M11x2S4)",
"3^(3+2+6+6):(L3(3)xSD16)", "2.B", "7^1+4.2A7", "11^2:(5x2.A5)",
"13^(1+2):(3x4S4)", "[7^6]:(6x6)", "2^2.2E6(2).3.2", "U3(4).4", ],
[ # fusions to (3^2:2xG2(3)).2
],
[ # fusions to (3xA6).2_1
],
[ # fusions to (A6xA6).D8
"(A6xA6):2^2", ],
[ # fusions to 2.(A4xA4)
],
[ # fusions to 2.2^(2+8).(3xA5)
],
[ # fusions to 2F4(8)
],
[ # fusions to 2^(1+6)_-3.3.3^2:2
],
[ # fusions to 2^(2+8):(3xA5)
"2.2^(2+8).(3xA5)", ],
[ # fusions to 2^(4+6):(A5x3)
"2.2^(4+6).(A5x3)", ],
[ # fusions to 2^(4+8):(S3xA5)
"2.2^(4+8):(S3xA5)", "3x2.2^(4+8):(S3xA5)", "2^2.2^(4+8):(S3xA5)",
"3x2^2.2^(4+8):(S3xA5)", ],
[ # fusions to 2^5:L5(2)
"L5(2)", ],
[ # fusions to 2^6:U4(2)
"U4(2)", ],
[ # fusions to 2^8:O8-(2)
"O8-(2)", ],
[ # fusions to 2^9.L3(4)
"L3(4)", "2.U6(2)M3", "3.U6(2)M3", "6.U6(2)M3", ],
[ # fusions to 2.U6(2)M3
"6.U6(2)M3", "2^2.U6(2)M3", ],
[ # fusions to 3.U6(2)M3
"6.U6(2)M3", ],
[ # fusions to 6.U6(2)M3
"(2^2x3).U6(2)M3", ],
[ # fusions to 2^2.U6(2)M3
"(2^2x3).U6(2)M3", ],
[ # fusions to (2^2x3).U6(2)M3
],
[ # fusions to 2xS6(2)
"2x2.S6(2)", "6xS6(2)", "2^2xS6(2)", "2^2x3xS6(2)", ],
[ # fusions to 3.ONM6
],
[ # fusions to 3^(1+4).2U4(2)
],
[ # fusions to 3^(1+4).2U4(2).2
"3^(1+4).2U4(2)", ],
[ # fusions to 3^3.S4
"(2x3^3).S4", ],
[ # fusions to 3^3:A4
],
[ # fusions to 3^4.2U4(2)
"3^(1+4).2U4(2)", "2.U4(2)", ],
[ # fusions to 3^4.2U4(2).2
"3^(1+4).2U4(2).2", "3^4.2U4(2)", "2.U4(2).2", ],
[ # fusions to 3^4:(2xA5)
],
[ # fusions to 3^4:A6
"A6", "3^2.(3^4:A6)", ],
[ # fusions to 2x3^4:A6
],
[ # fusions to 3^4:2.A6
],
[ # fusions to 2.(2x3^4:A6)
],
[ # fusions to 4.3^(1+4)_+.2S4
],
[ # fusions to 3^2.(3^4:A6)
],
[ # fusions to 3^2.(3^(1+4)_+.2S4)
],
[ # fusions to 3^6:L4(3)
"L4(3)", ],
[ # fusions to O8+(3)M8
],
[ # fusions to O8+(3)M9
],
[ # fusions to 3^7.O7(3)
],
[ # fusions to 5^(1+4):GL(2,5)
],
[ # fusions to 6xU5(2)
"2^2x3xU5(2)", ],
[ # fusions to 7^2:2.L2(7).2
"7^2:2psl(2,7)", ],
[ # fusions to (7^2)b:2.L2(7).2
"3.L3(7)M2", ],
[ # fusions to A6.D8
],
[ # fusions to D8xL4(3).2_2
"L4(3).2_2", ],
[ # fusions to M22.2M3
"2^4:a6", ],
[ # fusions to O7(3).2x2
"O7(3).2", ],
[ # fusions to O8-(3).2_1M4
],
[ # fusions to S4xU4(2).2
"U4(2).2", ],
[ # fusions to O8-(3)M8
],
[ # fusions to 2^6:U4(2).2
"U4(2).2", ],
[ # fusions to (S3xS3):2xS5
],
[ # fusions to 2^3.L3(2)
"4^3.L3(2)", ],
[ # fusions to S8(2)M3
],
[ # fusions to 2^10.A8
],
[ # fusions to (S6xS6):2
],
[ # fusions to 2^(3+8):(S3xS6)
],
[ # fusions to S3xS6(2)
],
[ # fusions to 2xS3xS6(2)
],
[ # fusions to 2^(6+6):(S3xL3(2))
],
[ # fusions to 2^8:S6(2)
"2^1+8:s6f2", "S6(2)", ],
[ # fusions to 2^6:S8
"A8.2", ],
[ # fusions to 2^(1+4).S3
"4.s4", ],
[ # fusions to 2x3.A6
],
[ # fusions to 7^1+2.6
],
[ # fusions to M12C4
],
[ # fusions to 1/2(8xS3)
],
[ # fusions to (2^2x3).2
"2.S3", ],
[ # fusions to 4.2^2
],
[ # fusions to (4xA6).2^2
],
[ # fusions to 5^1+2.2A4
],
[ # fusions to 13^1+2.2A4
],
[ # fusions to 7^1+4.2A7
],
[ # fusions to 7xL2(8)
],
[ # fusions to (7xL2(8)).3
"7xL2(8)", ],
[ # fusions to O7(3)N3A
"2.O7(3)M9", "3.O7(3)M9", "6.O7(3)M9", ],
[ # fusions to 2^6:A7
"A7", "2^(1+6)_+:A7", "2^6:3A7", "2^(1+6)_+:3A7", ],
[ # fusions to 2^8:S8
"A8.2", "2^(1+8):S8", ],
[ # fusions to 2^(1+8):S8
],
[ # fusions to 2^6:S5
],
[ # fusions to L3(2)wr2
],
[ # fusions to O10+(3)
],
[ # fusions to 2.O7(3)
"Isoclinic(2.A9.2)", "2.L4(3).2_2", "(2x3^5).U4(2).2", "2xG2(3)",
"2.O7(3)M5", "2x3^(3+3):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",
"6.O7(3)", "2.S6(2)", "4.U4(3).2_2", ],
[ # fusions to 2.O7(3).2
"2.O7(3)", "6.O7(3).2", ],
[ # fusions to Isoclinic(2.O7(3).2)
],
[ # fusions to 3.O7(3)
"3.G2(3)", "3xS6(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.O7(3)",
"6_1.U4(3).2_2", ],
[ # fusions to 3.Fi22M3
],
[ # fusions to 3.O7(3).2
"3.O7(3)", "6.O7(3).2", "Isoclinic(6.O7(3).2)", ],
[ # fusions to 6.O7(3)
"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", "12_1.U4(3).2_2", ],
[ # fusions to 6.O7(3).2
"6.O7(3)", ],
[ # fusions to Isoclinic(6.O7(3).2)
],
[ # fusions to Fi22M3
"3^(3+3)b:L3(3)", ],
[ # fusions to O7(3)
"A9.2", "G2(3)", "3^5:U4(2)", "3^7:O7(3)", "3^5.3^3.(2xS4)",
"(3^(1+6).3)a.2.S4", "3^5.3^(1+2).2.S4", "2x7:6", "5:4xS4", "S6(2)N2",
"2^6:S4b", "2.[2^6].(2xS3)", "S6xD8", "(2^4:A4xA4).2", "L4(3).2_2",
"S6xS4", "3^5:U4(2):2", "O7(3)M5", "3^(3+3):L3(3)", "O7(3)M8", "O7(3)M11",
"(2^2xU4(2)):2", "(A4x2(A4xA4).2).2", "2^5:S6", "13:6", "3^7.O7(3)",
"O7(3)N3A", "2^6:A7", "2.O7(3)", "3.O7(3)", "6.O7(3)", "Fi22N3", "S6(2)",
"2.U4(3).2_2", ],
[ # fusions to O8+(3)M2
],
[ # fusions to O8+(3)M3
],
[ # fusions to O8+(3)M4
],
[ # fusions to O8+(3)M5
],
[ # fusions to O8+(3)M6
],
[ # fusions to O7(3).2
"2x13:6", "2^6:S7", "3^7.O7(3):2", "3^5:(2xU4(2).2)", "2.O7(3).2",
"3.O7(3).2", "6.O7(3).2", "O7(3)", "2.U4(3).(2^2)_{1*22}", ],
[ # fusions to O8-(3)M3
],
[ # fusions to 2.O8+(2)
"2.A9", "P31/G1/L1/V1/ext2", "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", "2^(1+6)_+.A8", "2xS6(2)", "2^2.O8+(2)",
"2.S6(2)", ],
[ # fusions to 2.O8+(2).2
"2.O8+(2)", "2^2.O8+(2).2", ],
[ # fusions to Isoclinic(2.O8+(2).2)
],
[ # fusions to 2^2.O8+(2)
"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", ],
[ # fusions to 2^2.O8+(2).2
"2^2.O8+(2)", ],
[ # fusions to 2^2.O8+(2).3
"2^2.O8+(2)", ],
[ # fusions to 2^2.O8+(2).3.2
"2^2.O8+(2).2", "2^2.O8+(2).3", ],
[ # fusions to O8+(2)
"A9", "2^8:O8+(2)", "(D10xD10).2^2", "(3x3^3:S3):2", "(3x3^(1+2)+:2A4).2",
"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", "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)", "(A5xA5):2^2", "O8+(2)M16",
"O8+(2)M17", "2^(1+8)+.O8+(2)", "7:6", "(A5xD10).2", "(D10xA5).2",
"O8+(2)N5C", "2^6:A8", "2.O8+(2)", "2^2.O8+(2)", "S6(2)", ],
[ # fusions to O8+(3)M11
],
[ # fusions to O8+(3)M12
],
[ # fusions to O8+(3)M13
],
[ # fusions to O8+(2).2
"(3xO8+(2)):2", "2^8:O8+(2):2", "2xS6(2)", "2^6:S8", "2.O8+(2).2",
"Isoclinic(2.O8+(2).2)", "2^2.O8+(2).2", "O8+(2)", ],
[ # fusions to O8+(2).3
"2^2.O8+(2).3", "O8+(2)", ],
[ # fusions to O8+(2).3.2
"(A4xO8+(2).3).2", "2^2.O8+(2).3.2", "O8+(2).2", "O8+(2).3", "Fi22N5", ],
[ # fusions to F4(2)M8
],
[ # fusions to O8+(3)
"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",
"O8+(3)M27", "3^6:L4(3)", "O8+(3)M8", "O8+(3)M9", "O7(3)", "O8+(3)M2",
"O8+(3)M3", "O8+(3)M4", "O8+(3)M5", "O8+(3)M6", "O8+(2)", "O8+(3)M11",
"O8+(3)M12", "O8+(3)M13", "2.O8+(3)", "2^2.O8+(3)", "2.U4(3).(2^2)_{122}",
"O8+(3)M16", "O8+(3)M17", ],
[ # fusions to O8+(3).2_1
"3^6:(L4(3)x2)", "O8+(3)", ],
[ # fusions to O8+(3).2_1'
"O8+(3)", ],
[ # fusions to O8+(3).2_1''
"O8+(3)", ],
[ # fusions to O8+(3).2_2
"3^6:L4(3):2_2", "3^(3+6):(L3(3)x2)", "O8+(3)", ],
[ # fusions to O8+(3).2_2'
"O8+(3)", ],
[ # fusions to O8+(3).3
"O8+(3)", "2^2.O8+(3).3", ],
[ # fusions to O8+(3).3.2
"(3xO8+(3):3):2", "O8+(3).2_2", "O8+(3).3", ],
[ # fusions to O8+(3).4
"O8+(3)", "O8+(3).2_1", ],
[ # fusions to O8+(3).(2^2)_{111}
"O8+(3)", "O8+(3).2_1", "O8+(3).2_1'", "O8+(3).2_1''", ],
[ # fusions to O8+(3).(2^2)_{122}
"O8+(3).2_1", "O8+(3).2_2", "O8+(3).2_2'", ],
[ # fusions to O8+(3).D8
"3^6.L4(3).D8", "O8+(3).2_1", "O8+(3).2_2", "O8+(3).4",
"O8+(3).(2^2)_{111}", "O8+(3).(2^2)_{122}", ],
[ # fusions to O8+(3).A4
"O8+(3).2_1", "O8+(3).3", "O8+(3).(2^2)_{111}", ],
[ # fusions to O8+(3).S4
"3^(3+6):(L3(3)xD8)", "2^2.(U3(3).2xS4)", "(3^2:2xO8+(3)).S4",
"(2xO8+(3)).S4", "O8+(3).2_1", "O8+(3).2_2", "O8+(3).3", "O8+(3).4",
"O8+(3).D8", "O8+(3).A4", ],
[ # fusions to 2.O8+(3)
"2^2.O8+(3)", ],
[ # fusions to 2^2.O8+(3)
],
[ # fusions to 2^2.O8+(3).3
"2^2.O8+(3)", ],
[ # fusions to O10+(2)
"2^8:O8+(2)", "2^10:L5(2)", "O10+(2)M4", "(3xO8-(2)):2", "(A5xU4(2)):2",
"2^(10+16).O10+(2)", "S8(2)", ],
[ # fusions to O10+(2).2
"2^8:O8+(2):2", "O10+(2)", ],
[ # fusions to O10-(2)
"A12", "(3xO8+(2)):2", "2^8:O8-(2)", "S8(2)", ],
[ # fusions to O10-(2).2
"2^8:O8-(2):2", "O10-(2)", ],
[ # fusions to O8-(2)
"L2(16).2", "L3(2)", "(A8x3).2", "(S3xS3xA5):2", "2^{3+6}:(L3(2)x3)",
"2^{1+8}_+:(S3xA5)", "2^6:U4(2)", "2^8:O8-(2)", "S6(2)", ],
[ # fusions to O8-(2).2
"L2(16).4", "L3(2).2", "S8xS3", "2^8:O8-(2):2", "(3xO8-(2)):2", "2xS6(2)",
"2^6:U4(2).2", "(S3xS3):2xS5", "O8-(2)", ],
[ # fusions to O8-(3)
"L2(81).2_1", "3^6:2U4(3).2_1", "S4xU4(2).2", "O8-(3)M8", "O7(3).2",
"O8-(3)M3", "2.O8-(3)", ],
[ # fusions to 2.O8-(3)
],
[ # fusions to O8-(3).2_1
"L2(81).4_1", "D8xL4(3).2_2", "O7(3).2x2", "O8-(3).2_1M4", "O8-(3)", ],
[ # fusions to O8-(3).2_2
"O8-(3)", ],
[ # fusions to O8-(3).2_3
"3^8.O8-(3).2_3", "O8-(3)", ],
[ # fusions to O8-(3).2^2
"O8-(3).2_1", "O8-(3).2_2", "O8-(3).2_3", ],
[ # fusions to O12-(2)
],
[ # fusions to O12-(2).2
"O12-(2)", "U4(4).4", ],
[ # fusions to O12+(2)
],
[ # fusions to O12+(2).2
"O12+(2)", "S10(2)", ],
[ # fusions to O7(5)
"G2(5)", "S6(2)", ],
[ # fusions to O7(5).2
"O7(5)", ],
[ # fusions to O9(3)
"A10", "2^8.A9", "2.O9(3)", ],
[ # fusions to 2.O9(3)
],
[ # fusions to O10-(3)
"2.O10-(3)", "U5(3)", ],
[ # fusions to 2.O10-(3)
],
[ # fusions to O8+(7)
"2.O8+(7)", ],
[ # fusions to 2.O8+(7)
],
[ # fusions to O12+(3)
"2_1.O12+(3)", ],
[ # fusions to 2_1.O12+(3)
],
[ # fusions to O12-(3)
],
[ # fusions to 2.HS
"2.HSN2", "NDG(2.HS,Q8)", "5^(1+2):8:4", "7:12", "2.HSN3A",
"Isoclinic(2.L3(4).2_1)", "2.M22", "2xM11", "2.HSM9", "2.2^4.S6",
"2.HSM11", "2.HSM10", "2.4^3.L3(2)", "5:4x2.A5", "Isoclinic(S8x2)",
"Isoclinic(U3(5).2x2)", "2.HSM3", "2.HSN3", "2x11:5", ],
[ # fusions to 2.HS.2
"2.HS.2N3", "2.HS.2N2", "NDG(2.HS,Q8).2", "2x11:10",
"2.L3(4).(2^2)_{1*23}", "2.M22.2", "2.HS", "2.HS.2N5", ],
[ # fusions to Isoclinic(2.HS.2)
"2.L3(4).(2^2)_{1*2*3*}", "Isoclinic(2.M22.2)", ],
[ # fusions to HS.2x2
"4.HS.2", ],
[ # fusions to Isoclinic(2.HSx2)
],
[ # fusions to 4.HS.2
"2.HS.2", "Isoclinic(2.HSx2)", ],
[ # fusions to 2.Ru
"2.RuN2", "5^(1+2):(4x4):4", "(Q8xD14):3", "(Q8x13:4):3", "2.L2(29)",
"(2x29).14", "2x3^2.2.S4", "2.(2^2xSz(8)):3", "2.2.2^4+6:S5", "2xA8",
"2.2^3+8:L3(2)", "2.2^6:u3(3):2", "2.RuM1", "5:4x2.A5", "2xU3(5).2",
"L2(25).(2x4)", "2x5^2:4S5", "3.A6.(2x4)", "Isoclinic(L2(13).2x2)",
"A6.D8", "(2x3^(1+2)_+:8):2", ],
[ # fusions to 2.Suz
"2.A7", "2.G2(4)", "2.J2.2", "2.J2.2N5", "(2.D10xA6).2",
"2x3^5:(3^2:SD16)", "11:20", "(SL(2,3)x7:3).2", "2.(D8x3^2:Q8)", "2.SuzN2",
"2.L2(25)", "Isoclinic(2.M12.2)", "(2x13).6", "(3^2:4x2.A6).2",
"2.(A4xL3(4)).2", "2.SuzM4", "2.SuzM9", "(2xL3(3)).2", "2.SuzM7",
"2xU5(2)", "2x3^5:M11", "2.SuzM11", "(A6x2.A5).2", "(2.A5xD10).2", "6.Suz",
"Isoclinic(6_2.U4(3).2_3')", ],
[ # fusions to 2.Suz.2
"2.A7.2", "Isoclinic(2.G2(4).2)", "3^(1+12).2.Suz.2", "2xU5(2).2", "2.Suz",
"6.Suz.2", ],
[ # fusions to Isoclinic(2.Suz.2)
"Isoclinic(2.A7.2)", ],
[ # fusions to 3.McL
"3xMcLN2", "3x11:5", "6x7:3", "3.M22", "3.McLM3", "3x2(A4xA4).2^2",
"3xM22C2A", "3.2^4:a7", "3.McLM10", "3.3^(1+4):2S5", "3.2^(2+4):(3x3):2",
"3^5:M10", "3.3^4.3^2.Q8", "3xL3(4).2_2", "3x2.A8", "3xM11",
"3x5^(1+2):3:8", "3_2.U4(3)", "3.U3(5)", ],
[ # fusions to 3.McL.2
"3.McL.2N5", "(3xMcLN2).2", "3.McL.2N3", "11:5xS3", "(2.A8x3).2",
"3^5:(M10x2)", "(3xL3(4).2_2).2", "M11xS3", "3.2^(2+4):(S3xS3)",
"3.3^(1+4):4S5", "3.McL", "3_2.U4(3).2_3'", "3.U3(5).2", ],
[ # fusions to 3.ON
"3.A7", "3xONN2", "NDG(3.ON,D8)", "3x(4x2^2).2^4.S3", "3x(4^2x2).2^3.S3",
"S4x3^(1+2):4", "(3^(1+2):4xD10).2", "3x7^(1+2):(D8x3)", "3x19:6",
"3x31:15", "3x11:10", "12_2.L3(4).2_1", "3x4_2.2^4:A5", "3x7^2:2.L2(7).2",
"3.L3(7)M2", "3xJ1", "3xL2(31)", "3xONM8", "3xL3(7).2", "3xONM2",
"3x4^3.L3(2)", "3.ONM5", "3xM11", "3xONM11", "3.ONM6", ],
[ # fusions to 3.ON.2
"(3xONN2).2", "3.ON.2N3", "3.ON.2M4", "3.ON.2N7", "3.ON", ],
[ # fusions to 3.Suz
"3.A7", "3x5^2:(4xS3)", "3x13:6", "3x(A5xD10).2", "(D10x3.A6).2_3",
"3x(A4x7:3):2", "3x11:10", "S4x3^(1+2)_+:Q8", "D8x3^(1+2)_+:Q8",
"3x2^(1+6)_-.2^4.A5", "3x2^(2+8).2^2.(3xS3)", "3x2^(4+6).2^2.(3xS3)",
"3xSuzN2", "3.3^5:(3^2:SD16)", "3^6.M11", "3xG2(4)", "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)", "6.Suz", "3^2.U4(3).2_3'", ],
[ # fusions to 3.Suz.2
"3.A7.2", "(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.Suz",
"6.Suz.2", "Isoclinic(6.Suz.2)", "(3x13:6).2", "3^2.U4(3).(2^2)_{133}", ],
[ # fusions to 6.Suz
"6.A7", "3x2.J2.2N5", "(2.D10x3.A6).2_3", "3x(SL(2,3)x7:3).2", "3x11:20",
"3x(2x13).6", "3x(2.A5xD10).2", "3x2.SuzN2", "2x3.3^5:(3^2:SD16)",
"2.(D8x3^(1+2)_+:Q8)", "3x2.SuzM4", "2x3^6.M11", "3x2.J2.2", "3x2.SuzM7",
"3x2.SuzM9", "3xIsoclinic(2.M12.2)", "3x2.G2(4)", "6.SuzM8", "6.SuzM11",
"3x(2xL3(3)).2", "3x2.L2(25)", "(3^(1+2):4x2.A6).2", "(3.A6x2.A5).2",
"6xU5(2)", "Isoclinic((3^2x2).U4(3).2_3')", ],
[ # fusions to 6.Suz.2
"(3^(1+2):8x2.A6).2", "3^(1+12):6.Suz.2", "3^12.6.Suz.2", "6.Suz", ],
[ # fusions to Isoclinic(6.Suz.2)
],
[ # fusions to F3+M14
],
[ # fusions to HN
"A12", "NDG(2.HS,Q8).2", "2x11:10", "NDG(HN,3^2)", "HNN3",
"3^4.(3xSL(2,3)).2", "HNN5", "(D10xU3(5)N2).2", "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)", "HNM12", "M12.2", "(A9x3):2", "(A8xA4):2",
"(D10xU3(5)).2", "2^(1+8).(A5xA5).2", "2^3.2^2.2^6.(3xL3(2))", "2^6.U4(2)",
"3^(1+4):4A5", "3^4:2(A4xA4).4", "5^(1+4):2^(1+4).5.4", "5^2.5.5^2.4A5",
"(A6xA6):2^2", "(A6xA6).D8", "2.HS.2", "19:9", "HNN2", "U3(8).3_1", ],
[ # fusions to HN.2
"A12.2", "NDG(HN.2,3^2)", "HN.2N3", "5:4xU3(5).2N2", "S9xS3", "S8xS4",
"2^6.U4(2).2", "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", "19:18", "(D10xHN).2",
"4.HS.2", "HN", "LyN5", "U3(8).6", ],
[ # fusions to HS
"A8.2", "L3(4).2_1", "HSM9", "M11", "M22", "S5xS3", "2^4.s6", "2^4.(S4x2)",
"2xa6.2^2", "4.2^4.S5", "4.2^4:(2xS3)", "4.2^4", "S4x2^2", "4.2^4:S4",
"4^3:psl(3,2)", "4^3:S4", "5:4xa5", "5:4xA4", "5:4x2^2", "A4xC4", "D8xV4",
"7:6", "2.HS", "Isoclinic(2.HSx2)", "2x(3^2.QD16)", "5^(1+2):(8.2)",
"HSN2", "11:5", "HSM3", "U3(5).2", ],
[ # fusions to HS.2
"L3(4).2^2", "M22.2", "S8x2", "2^5.S6", "(2xA6.2^2).2", "2^(1+6)_+:S5",
"4^3:(L3(2)x2)", "5:4xS5", "11:10", "2.HS.2", "Isoclinic(2.HS.2)",
"4.HS.2", "HS", "HS.2N5", ],
[ # fusions to He
"3.A7.2", "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",
"D8xL3(2)", "2^6:3.s6", "2^1+6.psl(3,2)", "2^2.psl(3,4).s3",
"7:3xpsl(3,2)", "7^2:2psl(2,7)", "s4xpsl(3,2)", "(A5xD10).2", "hed3",
"2^6:3^(1+2).D8", "3^(1+2):D8", "5^2:4A4", "7^(1+2):(S3x3)", "M24N2",
"17:8", "S4(4).2", ],
[ # fusions to He.2
"NDG(He.2,3^2)", "2^2.L3(4).D12", "(7:3xHe):2", "5:4xS5",
"2^(1+6)_+.L3(2).2", "S4xL3(2).2", "7:6xL3(2)", "3.s7x2", "s5wrs2",
"2^(4+4).(S3xS3).2", "7^2:2.L2(7).2", "He", "7^(1+2):(S3x6)", "Fi22N5",
"17:16", "S4(4).4", ],
[ # fusions to Ly
"2.A11", "G2(5)", "(3xMcLN2).2", "31:6", "11:5xS3", "(SL2(3)x7:3).2",
"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", "2.(A7xA4).2", "(4^2x2)S4",
"3.2^(2+4):(S3xS3)", "3xM22C2A", "3.2^4:a7", "2^(2+4).(S3x2)", "37:18",
"3^(2+4):2A5.D8", "3^5:M11", "5^(1+4):4S6", "5^3.psl(3,5)", "67:22",
"LyM6", "5^2.5.5^2.4S5", "2^(1+4).S5", "5^(1+4):4.3^2:D8", "2^3.L3(2)",
"3.McL.2", "LyN2", "LyN3", "LyN5", ],
[ # fusions to McL
"2.A8", "2x7:3", "L3(4).2_2", "M11", "M22", "McLM3", "3^(1+4)_+.2S4",
"2(A4xA4).2^2", "2^4:a7", "McLM10", "2^(1+3):L3(2)", "2^(2+4):(3x3):2",
"2^(1+1+2+2):S3", "2^(2+4).S3", "3^(1+4):2S5", "3^4:m10", "3^4.3^2.Q8",
"M22C2A", "3.McL", "3^4:(3^2:Q8)", "5^(1+2):3:8", "McLN2", "11:5", "U4(3)",
"U3(5)", ],
[ # fusions to McL.2
"Isoclinic(2.A8.2)", "McL.2N3", "L3(4).2^2", "2(A4xA4).4.2", "2xM11",
"2^(2+4).(S3x2)", "3^(1+4):4S5", "3^4:(M10x2)", "2^(2+4):(S3xS3)",
"3^(1+4):4S4", "3.McL.2", "McL", "5^(1+2):(24:2)", "LyN2", "2x11:5",
"U4(3).2_3", "U3(5).2", ],
[ # fusions to ON
"A7", "J1", "NDG(ON,D8)", "(3^2:4xD10).2", "S4x3^2:4", "(4x2^2).2^4.S3",
"(4^2x2).2^3.S3", "L2(31)", "ONM8", "4_2.L3(4).2_1", "L3(7).2", "ONM2",
"M11", "ONM11", "4_2.2^4:A5", "31:15", "4^3.L3(2)", "ONM5", "11:10",
"19:6", "7^2:2.L2(7).2", "(7^2)b:2.L2(7).2", "3.ON", "3^4:2^(1+4)D10",
"4^3.D8", "7^(1+2):(D8x3)", ],
[ # fusions to ON.2
"A6.2_2", "ON.2N2", "NDG(ON,D8).2", "(3^2:D8xD10).2",
"4_2.L3(4).(2^2)_{12*3}", "L3(2).2", "31:30", "J1x2", "7^(1+2)_+:(3xD16)",
"(3^2:4xA6).2^2", "4^3.(L3(2)x2)", "3.ON.2", "ON", "3^4:2^(1+4).(5:4)", ],
[ # fusions to Ru
"3.A6.2^2", "A6.2^2", "A8", "2.2^(4+6).2.S3", "L2(13).2", "L2(25).2^2",
"L2(29)", "3^2.2.S4", "(2^2xSz(8)):3", "2.2^4+6:S5", "2^3+8:L3(2)",
"2^6:u3(3):2", "5:4xa5", "5^2:4s5", "29:14", "2^6:u3(3)",
"2.2^(2+2).2^(1+1+2+2):S4", "2^(2+1+2).2^(1+1+2).2^2.S4", "2.Ru",
"3^(1+2):SD16", "5^1+2:(2^5)", "RuN2", "(2^2xD14):3", "(2^2x13:4):3",
"2F4(2)'", "2F4(2)'.2", "U3(5).2", ],
[ # fusions to Suz
"A7", "G2(4)", "J2.2", "(D10xA6).2", "2^(1+6)_-.2^4.A5",
"2^(4+6).2^2.(3xS3)", "2^(2+8).2^2.(3xS3)", "(A4x7:3):2", "S4x3^2:Q8",
"L2(25)", "L3(3).2", "M12.2", "(3^2:4xa6).2", "(a4xpsl(3,4)):2",
"(a6xa5).2", "2^1+6.u4q2", "2^2+8(a5xs3)", "2^4+6:3a6", "3^2+4:2(2^2xa4)2",
"3^5:M11", "11:10", "13:6", "(A5xD10).2", "D8x3^2:Q8", "2.Suz", "3.Suz",
"6.Suz", "3^5:(3^2:SD16)", "5^2:(4xS3)", "SuzN2", "3_2.U4(3).2_3'",
"U5(2)", ],
[ # fusions to Suz.2
"A7.2", "G2(4).2", "L2(25).2_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", "2.Suz.2",
"Isoclinic(2.Suz.2)", "3.Suz.2", "6.Suz.2", "Isoclinic(6.Suz.2)", "Suz",
"LyN3", "13:12", "3_2.U4(3).(2^2)_{133}", "U5(2).2", ],
[ # fusions to Th
"A5.2", "A6.2_3", "(7:3xL2(7)):2", "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", "L2(19).2",
"L3(3)", "(3xG2(3)):2", "2^1+8.a9", "2^5.psl(5,2)", "31:15", "3^5:2S6",
"5^2:4s5", "7^2:(3x2S4)", "ThM7", "ThN3B", "19:18", "5^(1+2):4S4", "ThN2",
"ThN3", "(3x13:6).2", "3D4(2).3", "U3(8).6", ],
[ # fusions to (3^(1+2)x2).SD16
],
[ # fusions to (2x3^(1+2)_+:8):2
],
[ # fusions to 11+^(1+2):(5x2S4)
],
[ # fusions to 2.HS.2N5
"5^(1+2):8:4", ],
[ # fusions to 2^3.7.3
],
[ # fusions to 2^4:D8
"3x2.M22N2", "3xMcLN2", "2.M22N2", "4.M22N2", "3x4.M22N2", ],
[ # fusions to 2x(3^2.QD16)
"2.HSN3", ],
[ # fusions to 3^(1+2):8
"2.J2N3", ],
[ # fusions to 3^(1+2):D8
"3^(1+2):4", "2^6:3^(1+2).D8", "M12N3", ],
[ # fusions to 3^(1+2):SD16
"3^(1+2):8:4", "(3^(1+2):8x2.A6).2", "3^(1+2)_+:Q8", "(3^(1+2):8xA6).2",
"(2x3^(1+2)_+:8):2", "3^(1+2):8", "3^(1+2):D8", ],
[ # fusions to 3^2.3^(1+2):8
"3^3.3^(1+2):8", ],
[ # fusions to 3^2:Q8
"12.M22N3", "Isoclinic(4x3^2:Q8)", "(3^2:4xD10).2", "3^2:4",
"Isoclinic(2x3^2:Q8)", "3^(1+2)_+:Q8", "Isoclinic(2x3^(1+2)_+:Q8)",
"(3^2:4xa6).2", "(3^2:4x2.A6).2", "ONM5", "suzdx", ],
[ # fusions to 3^2:Q8.2
"(3^2:D8xD10).2", "(3^2:8xA6).2", "(3^2:D8xU4(3).2^2).2", "s3wrs2",
"3^2:Q8", "2.HSN3", ],
[ # fusions to 3^4:(3^2:Q8)
"3.3^4.3^2.Q8", ],
[ # fusions to 3^4:2^(1+4)D10
"3.ONM6", ],
[ # fusions to 3^4:2^(1+4).(5:4)
"3.ON.2N3", "3^4:2^(1+4)D10", ],
[ # fusions to 3^5:(3^2:SD16)
"3.3^5:(3^2:SD16)", "2x3.3^5:(3^2:SD16)", ],
[ # fusions to 4^3.D8
"3xONN2", ],
[ # fusions to 5^(1+2):(24:2)
"3.McL.2N5", "5^(1+2):3:8", ],
[ # fusions to 5^(1+2):(8.2)
"5^(1+2):8:4", ],
[ # fusions to 5^(1+2):3:8
"3x5^(1+2):3:8", ],
[ # fusions to 5^(1+2):4S4
],
[ # fusions to 5^1+2:(2^5)
"5^(1+2):(4x4):4", ],
[ # fusions to 5^2:(4xS3)
"2.J2.2N5", "3x2.J2.2N5", "5^2:D12", ],
[ # fusions to 5^2:4A4
],
[ # fusions to 7^(1+2):(D8x3)
],
[ # fusions to 7^(1+2):(S3x3)
],
[ # fusions to 7^(1+2):(S3x6)
"7^(1+2):(S3x3)", ],
[ # fusions to 7^2:(3x2A4)
"2x7^2:(3x2A4)", ],
[ # fusions to Co1N3
],
[ # fusions to Co3N2
],
[ # fusions to Co3N3
],
[ # fusions to Fi22N3
"3.Fi22N3", "2x3.Fi22N3", ],
[ # fusions to Fi22N5
"2xFi22N5", "6xFi22N5", "(D10xD10).2^2", "5^2:4A4", "F3+N5", ],
[ # fusions to HS.2N5
"2.HS.2N5", "5^(1+2):(8.2)", ],
[ # fusions to HSN2
"2.HSN2", ],
[ # fusions to J2N2
"2.J2N2", ],
[ # fusions to J3N2
],
[ # fusions to LyN2
"(3xMcLN2).2", "2^4:D8", "McLN2", ],
[ # fusions to LyN3
"3^5:(3^2:SD16)", ],
[ # fusions to LyN5
"HNN5", ],
[ # fusions to M11N2
"D8", ],
[ # fusions to M12N2
"2.M12N2", "M12C4", ],
[ # fusions to M12N3
],
[ # fusions to M24N2
],
[ # fusions to McLN2
],
[ # fusions to RuN2
"2.RuN2", ],
[ # fusions to (2^2xD14):3
"(Q8xD14):3", ],
[ # fusions to (2^2x13:4):3
"(Q8x13:4):3", ],
[ # fusions to SuzN2
"2.SuzN2", "3x2.SuzN2", ],
[ # fusions to ThN2
],
[ # fusions to ThN3
],
[ # fusions to 2.HSN3
],
[ # fusions to 5:4
"3xIsoclinic(2x5:8)", "Isoclinic(2x5:8)", "(D10xA9).2", "(D10xA6).2",
"5:8", "(3^2:4xD10).2", "(3^2:D8xD10).2", "(3^(1+2):4xD10).2",
"(D10x3.A6).2_3", "S3x5:4", "(D10x2^3.L3(2)).2", "(D10xJ2).2",
"(D10x2.(A5xA5).2).2", "D10", "3x5:8", "(D10xU3(5)).2",
"(D10x(A5xA5).2).2", "(2.A5xD10).2", "(A5xD10).2", "(D10xHN).2",
"(3xD10).2", "(A4xD10).2", ],
[ # fusions to 2x5:4
"3xIsoclinic(2x5:8)", "Isoclinic(2x5:8)", "2.M12N5", "5:4x2^2", "5:4",
"6x5:4", ],
[ # fusions to 5:4x3
"3xIsoclinic(2x5:8)", "3xD10", "3x5:8", "5:4", "6x5:4", ],
[ # fusions to 6x5:4
"3xIsoclinic(2x5:8)", ],
[ # fusions to 11:5
"12x11:5", ],
[ # fusions to 2x11:5
"12x11:5", "4x11:5", "2^2x11:5", "6x11:5", "2x6x11:5", "11:5", ],
[ # fusions to 17:8
"(2x17).8", ],
[ # fusions to 17:16
"17:8", ],
[ # fusions to 19:9
],
[ # fusions to (3xD10).2
"(3x2.D10).2", ],
[ # fusions to 7:3xS3
"7:3x3", ],
[ # fusions to S3x7:6
"6xS3x7:6", "(7:3x3):2", ],
[ # fusions to (A4xD10).2
],
[ # fusions to Co2N2
],
[ # fusions to 3^(1+4)_+:(S3xQD16)
],
[ # fusions to Co2N7
],
[ # fusions to Co1N5
"2xCo1N5", ],
[ # fusions to F3+N5
"3.F3+N5", ],
[ # fusions to S4x5^2:4S4
"3.F3+.2N5", "F3+N5", ],
[ # fusions to BN7
],
[ # fusions to 11^2:(5x2.A5)
],
[ # fusions to 13^(1+2):(3x4S4)
],
[ # fusions to 13:4
],
[ # fusions to 13:12
"(3^(1+2)_+:2x13:6).2", "(3^2:2x13:6).2", "(13:6xA4).2", "(13:6xL3(3)).2",
"13:6", "13:4", "(3x13:6).2", ],
[ # fusions to 2^(3+3):7
"2.2^(3+3):7", "2^2.2^(3+3):7", ],
[ # fusions to 2^(3+3):7:3
"2^(3+3):7", ],
[ # fusions to 7:6xA5.2
],
[ # fusions to HNN2
],
[ # fusions to [7^6]:(6x6)
],
[ # fusions to (3x13:6).2
"3x13:6", ],
[ # fusions to Fi23N3
],
[ # fusions to 2.S4(5)
],
[ # fusions to 2.S4(5).2
"2.S4(5)", ],
[ # fusions to Isoclinic(2.S4(5).2)
],
[ # fusions to 2.S6(2)
"Isoclinic(2.A8.2)", "2x7:6", "2.(S3x5:4)", "2x3^3:(S3x2)", "L2(8):3x2",
"2.(2^5:S6)", "2x3^(1+2)_+:2S4", "2.(3^3:(S4x2))", "2.(S3xS6)",
"2.2^6.L3(2)", "2^2.[2^6].(S3xS3)", "2xU3(3).2", "Co3N2", "2.U4(2).2", ],
[ # fusions to 2.S6(3)
],
[ # fusions to 2.S6(3).2
"2.S6(3)", ],
[ # fusions to Isoclinic(2.S6(3).2)
],
[ # fusions to S10(2)
"L2(32).5", "O10+(2).2", "O10-(2).2", ],
[ # fusions to S4(4)
"A6.2_1", "L2(16).2", "S4(4)M4", "2^6:(3xA5)", "S4(4)M2", "a5wc2",
"S4(4)M6", ],
[ # fusions to S4(4).2
"L2(16).4", "S4(4).2M5", "S6x2", "(A5xA5):2^2", "S4(4).2M7",
"2^6:(3xA5):2", "S4(4).2M3", "S4(4)", ],
[ # fusions to S4(4).4
"(L3(2)xS4(4):2).2", "S4(4)", "S4(4).2", ],
[ # fusions to S4(5)
"A6", "P1/G1/L1/V1/ext2", "L2(25).2_2", "S5xS3", "5^(1+2)+:4A5",
"5^3:(2xA5).2", "(2^2xA5):2", "h4", "2.S4(5)", ],
[ # fusions to S4(5).2
"2.S4(5).2", "Isoclinic(2.S4(5).2)", "S4(5)", ],
[ # fusions to S6(2)
"A8.2", "2^7:S6(2)", "S3x5:4", "3^3:(S3x2)", "S6(2)N2", "2^6:S4a",
"2^6:S4b", "2.[2^6].(2xS3)", "L2(8).3", "2x2.S6(2)", "3^(1+2)+:2S4",
"3x2.S6(2)", "2^1+8:s6f2", "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", "7:6",
"2^6:s6f2", "s3wrs3", "S8(2)M3", "2^8:S6(2)", "2.S6(2)", "U3(3).2",
"U4(2).2", ],
[ # fusions to S6(3)
"A5", "L2(13)", "L2(27).3", "L3(3).2", "3^6:L3(3)", "3^(3+4):2(S4xA4)",
"2.(A4xU4(2))", "2^(2+6):3^3:S3", "2xU3(3).2", "3^(1+4).2U4(2)", "2.S6(3)", ],
[ # fusions to S6(3).2
"L2(27).6", "3^(1+4).2U4(2).2", "2.S6(3).2", "Isoclinic(2.S6(3).2)",
"S6(3)", ],
[ # fusions to S8(2)
"A10.2", "2^8:S8(2)", "L2(17)", "2^(9+16).S8(2)", "S8(2)M3", "2^10.A8",
"(S6xS6):2", "2^(3+8):(S3xS6)", "S3xS6(2)", "2^(6+6):(S3xL3(2))",
"O8+(2).2", "O8-(2).2", "S4(4).2", ],
[ # fusions to F4(2)M4
],
[ # fusions to S4(7)
"7^(1+2).Sp(2,7)", ],
[ # fusions to S4(8)
],
[ # fusions to S4(8).3
"S4(8)", ],
[ # fusions to S4(7).2
"S4(7)", ],
[ # fusions to S4(9)
],
[ # fusions to S4(9).2_1
"S4(9)", ],
[ # fusions to S4(9).2_2
"S4(9)", ],
[ # fusions to S4(9).2_3
"S4(9)", ],
[ # fusions to S4(9).2^2
"S4(9).2_1", "S4(9).2_2", "S4(9).2_3", ],
[ # fusions to S6(4)
],
[ # fusions to S6(4).2
"S6(4)", ],
[ # fusions to S6(5)
"J2", ],
[ # fusions to S8(3)
"2^6.U4(2)", ],
[ # fusions to S12(2)
"A14.2", "L2(25).2_2", "O12-(2).2", "O12+(2).2", "S4(8).3", "S6(4).2", ],
[ # fusions to 2F4(2)'
"2F4(2)'M7", "A6.2^2", "2F4(2)'N2", "L2(25)", "2F4(2)'M2", "L3(3)",
"L3(3).2", "3^2.2.S4", "13:6", "2.2^8.f20", "2^2.2^8:s3", "3^(1+2):D8",
"5^2:4A4", ],
[ # fusions to 2F4(2)'.2
"2F4(2)'.2N2", "L2(25).2_3", "2.RuM1", "2.[2^9]:5:4", "2^2.[2^9]:S3",
"3^(1+2):SD16", "Fi22N5", "13:12", "2F4(2)'", ],
[ # fusions to 3D4(2)
"S3xL2(8)", "3^2:2A4", "(7xL2(7)):2", "2^(1+8)+:L2(8)", "3^(1+2)+.2S4",
"7^2:2A4", "2^2.[2^9]:(7xS3)", "13:4", "U3(3).2", ],
[ # fusions to 3D4(2).3
"(7:3xL2(7)):2", "3xU3(3).2", "2^(1+8)_+:L2(8):3", "2^2.[2^9]:(7:3xS3)",
"3^(1+2)_+.(2S4x3)", "3^2:2A4x3", "s3xpsl(2,8).3", "7^2:(3x2A4)", "13:12",
"3D4(2)", ],
[ # fusions to F4(2)M10
],
[ # fusions to 3D4(3)
"G2(3)", ],
[ # fusions to 3D4(4)
"G2(4)", "L3(4).3", "3D4(2)", ],
[ # fusions to 2.2E6(2)
"2.F4(2)", "2.Fi22", "2xF4(2)", "2.2E6(2)M5", "2xFi22", "2.2E6(2)M9",
"2^2.2E6(2)", "6.2E6(2)", "(2^2x3).2E6(2)", ],
[ # fusions to 2.2E6(2).2
"(7:3x2.L3(4).2).2", "2.2E6(2)", "2^2.2E6(2).2", "6.2E6(2).2",
"(2^2x3).2E6(2).2", ],
[ # fusions to 2^2.2E6(2)
"2x2.F4(2)", "2^2.2E6(2)M4", "2^2.2E6(2)M5", "2x2.Fi22", "2^2.2E6(2)M8",
"2^2.2E6(2)M9", "(2^2x3).2E6(2)", ],
[ # fusions to 2^2.2E6(2).2
"2^2.2E6(2)", ],
[ # fusions to 2^2.2E6(2).3
"2^2.2E6(2)", ],
[ # fusions to 2^2.2E6(2).3.2
"2^2.2E6(2).2", "2^2.2E6(2).3", ],
[ # fusions to 2E6(2)
"F4(2)", "Fi22", "2E6(2)M4", "2E6(2)M5", "2E6(2)M8", "2E6(2)M9",
"(L3(2)xL3(4)).2", "2E6(2)N3C", "O10-(2)", "7^2:(3x2A4)", "2.2E6(2)",
"2^2.2E6(2)", "3.2E6(2)", "6.2E6(2)", "(2^2x3).2E6(2)", "U3(8).3_1", ],
[ # fusions to 2E6(2).2
"Fi22.2", "(L3(2)xL3(4).2_2).2", "2E6(2).2N3C", "O7(3).2", "O10-(2).2",
"2.2E6(2).2", "2^2.2E6(2).2", "2E6(2)", "3.2E6(2).2", "U3(8).6", ],
[ # fusions to 2E6(2).3
"2^2.2E6(2).3", "2E6(2)", ],
[ # fusions to 2E6(2).3.2
"2^2.2E6(2).3.2", "2E6(2).2", "2E6(2).3", ],
[ # fusions to 3.2E6(2)
"3.Fi22", "3xF4(2)", "3.2E6(2)M4", "3.2E6(2)M5", "3.2E6(2)M8",
"3.2E6(2)M9", "6.2E6(2)", "(2^2x3).2E6(2)", ],
[ # fusions to 3.2E6(2).2
"3.2E6(2)", ],
[ # fusions to 6.2E6(2)
"6.Fi22", "6xF4(2)", "3x2.F4(2)", "6.2E6(2)M5", "2x3.Fi22", "6.2E6(2)M9",
"(2^2x3).2E6(2)", ],
[ # fusions to 6.2E6(2).2
"6.2E6(2)", ],
[ # fusions to (2^2x3).2E6(2)
"6x2.F4(2)", "(2^2x3).2E6(2)M4", "(2^2x3).2E6(2)M5", "2x6.Fi22",
"(2^2x3).2E6(2)M8", "(2^2x3).2E6(2)M9", ],
[ # fusions to (2^2x3).2E6(2).2
"(2^2x3).2E6(2)", ],
[ # fusions to 12_1.U4(3)
"(3^2x4).U4(3)", ],
[ # fusions to 12_1.U4(3).2_1
"12_1.U4(3)", ],
[ # fusions to 12_1.U4(3).2_2
"12_1.U4(3)", ],
[ # fusions to Isoclinic(12_1.U4(3).2_2)
],
[ # fusions to 12_1.U4(3).2_2'
"12_1.U4(3)", ],
[ # fusions to Isoclinic(12_1.U4(3).2_2')
],
[ # fusions to 12_2.U4(3)
"(3^2x4).U4(3)", ],
[ # fusions to 12_2.U4(3).2_1
"12_2.U4(3)", ],
[ # fusions to 12_2.U4(3).2_3
"12_2.U4(3)", ],
[ # fusions to Isoclinic(12_2.U4(3).2_3)
],
[ # fusions to 12_2.U4(3).2_3'
"12_2.U4(3)", ],
[ # fusions to Isoclinic(12_2.U4(3).2_3')
],
[ # fusions to 2.U4(3)
"2x3^4:A6", "12_1.U4(3)", "12_2.U4(3)", "4.U4(3)", "6_1.U4(3)",
"6_2.U4(3)", ],
[ # fusions to 2.U4(3).2_1
"12_1.U4(3).2_1", "12_2.U4(3).2_1", "2.U4(3)", "4.U4(3).2_1",
"6_1.U4(3).2_1", "6_2.U4(3).2_1", ],
[ # fusions to Isoclinic(2.U4(3).2_1)
"2x3^4:(2xA6)", "3^6:2U4(3).2_1", "2.U4(3)", ],
[ # fusions to 2.U4(3).2_2
"2^2.U6(2)M5", "(2^2x3).U6(2)M5", "12_1.U4(3).2_2",
"Isoclinic(12_1.U4(3).2_2)", "2.U4(3)", "4.U4(3).2_2",
"Isoclinic(4.U4(3).2_2)", "6_1.U4(3).2_2", ],
[ # fusions to Isoclinic(2.U4(3).2_2)
"2.U4(3)", ],
[ # fusions to 2.U4(3).2_2'
"12_1.U4(3).2_2'", "2.U4(3)", "6_1.U4(3).2_2'", ],
[ # fusions to Isoclinic(2.U4(3).2_2')
"2.U4(3)", ],
[ # fusions to 2.U4(3).2_3
"12_2.U4(3).2_3", "Isoclinic(12_2.U4(3).2_3)", "2.U4(3)", "4.U4(3).2_3",
"Isoclinic(4.U4(3).2_3)", "6_2.U4(3).2_3", "(3^2x2).U4(3).2_3'", ],
[ # fusions to Isoclinic(2.U4(3).2_3)
"2.U4(3)", ],
[ # fusions to 2.U4(3).2_3'
"12_2.U4(3).2_3'", "2.U4(3)", "6_2.U4(3).2_3'", ],
[ # fusions to Isoclinic(2.U4(3).2_3')
"2.U4(3)", ],
[ # fusions to 2.U4(3).4
"2.U4(3)", "2.U4(3).2_1", "4.U4(3).4", ],
[ # fusions to 2.U4(3).(2^2)_{122}
"2.U4(3).2_1", "2.U4(3).2_2", "2.U4(3).2_2'", ],
[ # fusions to 2.U4(3).(2^2)_{1*22}
"Isoclinic(2.U4(3).2_1)", "2.U4(3).2_2", "2.U4(3).2_2'", ],
[ # fusions to 2.U4(3).(2^2)_{12*2}
"2.U4(3).2_1", "Isoclinic(2.U4(3).2_2)", "2.U4(3).2_2'", ],
[ # fusions to 2.U4(3).(2^2)_{1*2*2}
"Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_2)", "2.U4(3).2_2'", ],
[ # fusions to 2.U4(3).(2^2)_{12*2*}
"2.U4(3).2_1", "Isoclinic(2.U4(3).2_2)", "Isoclinic(2.U4(3).2_2')", ],
[ # fusions to 2.U4(3).(2^2)_{1*2*2*}
"Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_2)",
"Isoclinic(2.U4(3).2_2')", ],
[ # fusions to 2.U4(3).(2^2)_{133}
"2.U4(3).2_1", "2.U4(3).2_3", "2.U4(3).2_3'", ],
[ # fusions to 2.U4(3).(2^2)_{1*33}
"Isoclinic(2.U4(3).2_1)", "2.U4(3).2_3", "2.U4(3).2_3'", ],
[ # fusions to 2.U4(3).(2^2)_{13*3}
"2.U4(3).2_1", "Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", ],
[ # fusions to 2.U4(3).(2^2)_{1*3*3}
"Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_3)", "2.U4(3).2_3'", ],
[ # fusions to 2.U4(3).(2^2)_{13*3*}
"2.U4(3).2_1", "Isoclinic(2.U4(3).2_3)", "Isoclinic(2.U4(3).2_3')", ],
[ # fusions to 2.U4(3).(2^2)_{1*3*3*}
"Isoclinic(2.U4(3).2_1)", "Isoclinic(2.U4(3).2_3)",
"Isoclinic(2.U4(3).2_3')", ],
[ # fusions to 2.U4(3).D8
"2.U4(3).4", "2.U4(3).(2^2)_{122}", "2.U4(3).(2^2)_{133}", ],
[ # fusions to O8+(3)M16
],
[ # fusions to O8+(3)M17
],
[ # fusions to 3^2.U4(3)
"3^2.(3^4:A6)", "3^2.(3^(1+4)_+.2S4)", "(3^2x2).U4(3)", ],
[ # fusions to 3^2.U4(3).2_3'
"3^2.U4(3)", "(3^2x2).U4(3).2_3'", "Isoclinic((3^2x2).U4(3).2_3')", ],
[ # fusions to 3^2.U4(3).(2^2)_{133}
"3^2.U4(3)", "3^2.U4(3).2_3'", ],
[ # fusions to 3^2.U4(3).D8
"(3^2x2).U4(3).D8", "3^2.U4(3)", ],
[ # fusions to 3_1.U4(3)
"12_1.U4(3)", "3^2.U4(3)", "6_1.U4(3)", ],
[ # fusions to 3_1.U4(3).2_1
"12_1.U4(3).2_1", "3_1.U4(3)", "6_1.U4(3).2_1", "Isoclinic(6_1.U4(3).2_1)", ],
[ # fusions to 3_1.U4(3).2_2
"2x6_1.U4(3).2_2", "12_1.U4(3).2_2", "3_1.U4(3)", "6_1.U4(3).2_2", ],
[ # fusions to 3_1.U4(3).2_2'
"2^12.3_1.U4(3).2_2'", "2^(1+12).3_1.U4(3).2_2'", "12_1.U4(3).2_2'",
"3_1.U4(3)", "6_1.U4(3).2_2'", "Isoclinic(6_1.U4(3).2_2')", ],
[ # fusions to 3_1.U4(3).(2^2)_{122}
"2^(1+12)_+.3_1.U4(3).2^2_{122}", "3_1.U4(3).2_1", "3_1.U4(3).2_2",
"3_1.U4(3).2_2'", ],
[ # fusions to 3_2.U4(3)
"12_2.U4(3)", "3^2.U4(3)", "6_2.U4(3)", "(3^2x2).U4(3)", ],
[ # fusions to 3_2.U4(3).2_1
"12_2.U4(3).2_1", "3_2.U4(3)", "6_2.U4(3).2_1", "Isoclinic(6_2.U4(3).2_1)", ],
[ # fusions to 3_2.U4(3).2_3
"12_2.U4(3).2_3", "3_2.U4(3)", "6_2.U4(3).2_3", ],
[ # fusions to 3_2.U4(3).2_3'
"12_2.U4(3).2_3'", "3^2.U4(3).2_3'", "3_2.U4(3)", "6_2.U4(3).2_3'",
"Isoclinic(6_2.U4(3).2_3')", "(3^2x2).U4(3).2_3'",
"Isoclinic((3^2x2).U4(3).2_3')", ],
[ # fusions to 3_2.U4(3).(2^2)_{133}
"3^2.U4(3).(2^2)_{133}", "3_2.U4(3).2_1", "3_2.U4(3).2_3",
"3_2.U4(3).2_3'", ],
[ # fusions to 4.U4(3)
"2.(2x3^4:A6)", "4.3^(1+4)_+.2S4", "12_1.U4(3)", "12_2.U4(3)", ],
[ # fusions to 4.U4(3).2_1
"12_1.U4(3).2_1", "12_2.U4(3).2_1", "4.U4(3)", ],
[ # fusions to 4.U4(3).2_2
"12_1.U4(3).2_2", "12_1.U4(3).2_2'", "4.U4(3)", ],
[ # fusions to Isoclinic(4.U4(3).2_2)
],
[ # fusions to 4.U4(3).2_3
"4_2.L3(4).2_3", "12_2.U4(3).2_3", "12_2.U4(3).2_3'", "4.U4(3)", ],
[ # fusions to Isoclinic(4.U4(3).2_3)
],
[ # fusions to 4.U4(3).4
"4.U4(3)", "4.U4(3).2_1", ],
[ # fusions to 6_1.U4(3)
"12_1.U4(3)", "(3^2x2).U4(3)", ],
[ # fusions to 6_1.U4(3).2_1
"12_1.U4(3).2_1", "6_1.U4(3)", ],
[ # fusions to Isoclinic(6_1.U4(3).2_1)
],
[ # fusions to 6_1.U4(3).2_2
"(2^2x3).U6(2)M5", "12_1.U4(3).2_2", "6_1.U4(3)", ],
[ # fusions to Isoclinic(6_1.U4(3).2_2)
],
[ # fusions to 6_1.U4(3).2_2'
"12_1.U4(3).2_2'", "Isoclinic(12_1.U4(3).2_2')", "6_1.U4(3)", ],
[ # fusions to Isoclinic(6_1.U4(3).2_2')
],
[ # fusions to 6_2.U4(3)
"12_2.U4(3)", "(3^2x2).U4(3)", "(3^2x4).U4(3)", ],
[ # fusions to 6_2.U4(3).2_1
"12_2.U4(3).2_1", "6_2.U4(3)", ],
[ # fusions to Isoclinic(6_2.U4(3).2_1)
],
[ # fusions to 6_2.U4(3).2_3
"12_2.U4(3).2_3", "6_2.U4(3)", ],
[ # fusions to Isoclinic(6_2.U4(3).2_3)
],
[ # fusions to 6_2.U4(3).2_3'
"12_2.U4(3).2_3'", "Isoclinic(12_2.U4(3).2_3')", "6_2.U4(3)",
"(3^2x2).U4(3).2_3'", ],
[ # fusions to Isoclinic(6_2.U4(3).2_3')
"Isoclinic((3^2x2).U4(3).2_3')", ],
[ # fusions to U4(3)
"A6.2_3", "A7", "NRS(M22,[2^6])", "3^4.3^2:4", "7:3", "L3(4)",
"3^(1+4)_+.2S4", "2(A4xA4).2^2", "U4(3)M3", "U4(3)M9", "U4(3)M12",
"2^4:a6", "3^4:A6", "2^4:D8", "5:4", "12_1.U4(3)", "12_2.U4(3)", "2.U4(3)",
"3^2.U4(3)", "3_1.U4(3)", "3_2.U4(3)", "4.U4(3)", "6_1.U4(3)", "6_2.U4(3)",
"U3(3)", "U4(2)", ],
[ # fusions to U4(3).(2^2)_{122}
"2^2.U4(3).(2^2)_{122}", "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*}", "O8+(3)M16", "O8+(3)M17",
"3_1.U4(3).(2^2)_{122}", "U4(3).2_1", "U4(3).2_2", "U4(3).2_2'", ],
[ # fusions to U4(3).(2^2)_{133}
"L3(4).2^2", "U4(3).(2^2)_{133}M6", "(4^2x2)(2xS4)", "2(A4xA4).4.2^2",
"3^(1+4)+.2^(1+4)-.S3", "2xa6.2^2", "U4(3).(2^2)_{133}M11",
"U4(3).(2^2)_{133}M12", "3^4:(M10x2)", "2xU3(3).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*}", "3^2.U4(3).(2^2)_{133}",
"3_2.U4(3).(2^2)_{133}", "U4(3).2_1", "U4(3).2_3", "U4(3).2_3'", ],
[ # fusions to U4(3).2_1
"A6.2^2", "2x7:3", "L3(4).2_2", "3^(1+4)+.4S4", "3^4:(2xA6)", "4(A4xA4).4",
"2^4.s6", "U4(3).2_1M10", "2xU3(3)", "2x5:4", "12_1.U4(3).2_1",
"12_2.U4(3).2_1", "2.U4(3).2_1", "3_1.U4(3).2_1", "3_2.U4(3).2_1",
"4.U4(3).2_1", "6_1.U4(3).2_1", "6_2.U4(3).2_1", "U4(3)", "U4(2).2",
"U4(3).2_1M4", ],
[ # fusions to U4(3).2_2
"2^5:A6", "3^4:S6", "3^4:3^2:D8", "2x6_1.U4(3).2_2", "2x2.U4(3).2_2",
"7:6", "2x3_1.U4(3).2_2", "M22.2M3", "2x5:4", "12_1.U4(3).2_2",
"2.U4(3).2_2", "3_1.U4(3).2_2", "4.U4(3).2_2", "6_1.U4(3).2_2",
"Isoclinic(6_1.U4(3).2_2)", "U4(3)", ],
[ # fusions to U4(3).2_2'
"12_1.U4(3).2_2'", "2.U4(3).2_2'", "3_1.U4(3).2_2'", "6_1.U4(3).2_2'",
"U4(3)", ],
[ # fusions to U4(3).2_3
"A6.2^2", "U4(3).2_3M10", "L3(4).2_1", "L3(4).2_3", "M10x2", "(4^2x2)S4",
"2(A4xA4).4.2", "3^4:m10", "7:6", "3^(1+4):4S4", "2x5:4", "12_2.U4(3).2_3",
"2.U4(3).2_3", "3_2.U4(3).2_3", "4.U4(3).2_3", "6_2.U4(3).2_3",
"Isoclinic(6_2.U4(3).2_3)", "U4(3)", "U3(3).2", ],
[ # fusions to U4(3).2_3'
"12_2.U4(3).2_3'", "2.U4(3).2_3'", "3^2.U4(3).2_3'", "3_2.U4(3).2_3'",
"6_2.U4(3).2_3'", "U4(3)", ],
[ # fusions to U4(3).4
"4x7:3", "2.U4(3).4", "4.U4(3).4", "U4(3)", "U4(3).2_1", ],
[ # fusions to U4(3).D8
"3^4.A6.D8", "(3^2:D8xU4(3).2^2).2", "3^(1+4)_+:(S3xQD16)", "3^2.U4(3).D8",
"U4(3).(2^2)_{122}", "U4(3).(2^2)_{133}", "U4(3).2_1", "U4(3).2_2",
"U4(3).2_3", "U4(3).4", ],
[ # fusions to (3^2x2).U4(3)
"(3^2x4).U4(3)", ],
[ # fusions to (3^2x4).U4(3)
],
[ # fusions to (3^2x2).U4(3).2_3'
],
[ # fusions to Isoclinic((3^2x2).U4(3).2_3')
],
[ # fusions to 3.U3(5)
"3.A6.2_3", "3.A7", "3x2S5", "3.U3(5)M2", "3.U3(5)M3", "3x5^(1+2)_+:8",
"3.U3(5)M6", "3.U3(5)M7", ],
[ # fusions to 3.U3(5).2
"3.U3(5)", ],
[ # fusions to 3.U3(5).3
"3.U3(5)", ],
[ # fusions to Isoclinic(3.U3(5).3,1)
],
[ # fusions to Isoclinic(3.U3(5).3,2)
],
[ # fusions to 3.U3(5).S3
"3.U3(5).2", "3.U3(5).3", ],
[ # fusions to 3.U3(8)
],
[ # fusions to 3.U3(8).2
"3.U3(8)", ],
[ # fusions to 3.U3(8).3_1
"3.U3(8)", ],
[ # fusions to 3.U3(8).3_2
"3.U3(8)", ],
[ # fusions to Isoclinic(3.U3(8).3_2,1)
],
[ # fusions to Isoclinic(3.U3(8).3_2,2)
],
[ # fusions to 3.U3(8).6
"3.U3(8)", "3.U3(8).2", "3.U3(8).3_1", ],
[ # fusions to 3.U3(8).S3
"3.U3(8).2", "3.U3(8).3_2", ],
[ # fusions to Isoclinic(3.U3(8)x3)
],
[ # fusions to Isoclinic(U3(8).3_3x3)
"9.U3(8).3_3", ],
[ # fusions to 9.U3(8).3_3
"Isoclinic(3.U3(8)x3)", ],
[ # fusions to HSM3
"2.HSM3", ],
[ # fusions to U3(3)
"P49/G1/L1/V1/ext2", "P49/G1/L1/V1/ext3", "P49/G1/L1/V2/ext3", "7:3",
"L3(2)", "2^6:u3(3)", "4.s4", "4^2:s3", "M12C4", "3^(1+2):8", ],
[ # fusions to U3(3).2
"(Q16xU3(3)).2", "(2.A6xU3(3)).2", "L3(2).2", "Isoclinic(2xU3(3).2)",
"4^2:D12", "2.2^6:u3(3):2", "2^6:u3(3):2", "(A6xU3(3)):2", "7:6",
"2^2.(U3(3).2xS4)", "2^(1+4).S3", "3^(1+2):SD16", "M12N2", "U3(3)", ],
[ # fusions to G2(3)M2
"3.G2(3)M2", ],
[ # fusions to U3(4)
"13:3", "5xA5", "2^(2+4):15", "5^2:S3", ],
[ # fusions to U3(4).2
"2^(2+4):(3xD10)", "Isoclinic(2xU3(4).2)", "13:6", "5^2:D12", "a5xd10",
"U3(4)", ],
[ # fusions to U3(4).4
"5^2:(4xS3)", "U3(4)", "U3(4).2", ],
[ # fusions to U3(5)
"2.A5.2", "A6.2_3", "A7", "5^(1+2)+:8", "U3(5)M2", "U3(5)M3", "U3(5)M6",
"U3(5)M7", "3^2:Q8", "M11N2", "3.U3(5)", ],
[ # fusions to U3(5).2
"A6.2^2", "A7.2", "U3(5).2N2", "L3(2).2", "2S5.2", "(D10xU3(5)).2",
"Isoclinic(U3(5).2x2)", "5^(1+2):(8.2)", "3.U3(5).2", "U3(5)", ],
[ # fusions to U3(5).3
"3x2S5", "7:3x3", "3^2:2A4", "5^(1+2)+:24", "6^2:S3", "3.U3(5).3",
"Isoclinic(3.U3(5).3,1)", "Isoclinic(3.U3(5).3,2)", "U3(5)", ],
[ # fusions to U3(5).3.2
"(5^2:[2^4]xU3(5)).S3", "(3x2S5).2", "(7:3x3):2", "6^2:D12", "3^2.2.S4",
"5^(1+2):(24:2)", "3.U3(5).S3", "U3(5)", "U3(5).2", "U3(5).3", ],
[ # fusions to U3(7)
"L3(2).2", "43:3", "2(L2(7)x4).2", "7^(1+2):48", "8^2:S3", ],
[ # fusions to U3(7).2
"U3(7)", ],
[ # fusions to U3(8)
"19:3", "3xL2(8)", "3^2:2A4", "U3(8)M4", "U3(8)M5", "(9x3).S3",
"2^(3+6):21", "3.U3(8)", ],
[ # fusions to U3(8).2
"3.U3(8).2", "U3(8)", ],
[ # fusions to U3(8).3_1
"19:9", "3.U3(8).3_1", "U3(8)", ],
[ # fusions to U3(8).3_2
"3.U3(8).3_2", "Isoclinic(3.U3(8).3_2,1)", "Isoclinic(3.U3(8).3_2,2)",
"U3(8)", ],
[ # fusions to U3(8).3_3
"Isoclinic(U3(8).3_3x3)", "9.U3(8).3_3", "U3(8)", ],
[ # fusions to U3(8).6
"(A5xU3(8):3):2", "3.U3(8).6", "U3(8)", "U3(8).2", "U3(8).3_1", ],
[ # fusions to U3(8).S3
"3.U3(8).S3", "U3(8).2", "U3(8).3_2", ],
[ # fusions to U3(8).3^2
"U3(8)", "U3(8).3_1", "U3(8).3_2", "U3(8).3_3", ],
[ # fusions to U3(8).(S3x3)
"U3(8).6", "U3(8).3^2", ],
[ # fusions to U3(9)
"A6.2_2", "73:3", "5xIsoclinic(2.A6.2_2)", "10^2:S3", "3^(2+4):80", ],
[ # fusions to U3(9).2
"U3(9)", ],
[ # fusions to U3(9).4
"U3(9)", "U3(9).2", ],
[ # fusions to 2.U4(2)
"2.A6.2_1", "5:8", "2x3^3:S3", "2.U4(2)N2", "2.(2^4:A5)", "2x3^(1+2)+:2A4",
"(2x3^3).S4`", "2.(2.(A4xA4).2)", "3^(1+4).2U4(2)", "3^4.2U4(2)", ],
[ # fusions to 2.U4(2).2
"2.(2.(A4xA4).2.2)", "2x3^(1+2)_+:2S4", "2.(3^3:(S4x2))", "2.(S6x2)",
"esp43t", "twd5a", "3^(1+4).2U4(2).2", "3^4.2U4(2).2", "2.U4(2)", ],
[ # fusions to Isoclinic(2.U4(2).2)
],
[ # fusions to 3.U3(11)
],
[ # fusions to 3.U3(11).2
"3.U3(11)", ],
[ # fusions to 3.U3(11).3
"3.U3(11)", ],
[ # fusions to Isoclinic(3.U3(11).3,1)
],
[ # fusions to Isoclinic(3.U3(11).3,2)
],
[ # fusions to 3.U3(11).S3
"3.U3(11).2", "3.U3(11).3", ],
[ # fusions to U3(11)
"A6", "L2(11).2", "U3(11)M4", "U3(11)M5", "37:3", "(4^2x3):S3",
"11^(1+2)+:40", "2(L2(11)x2).2", "3^2:Q8", "3.U3(11)", ],
[ # fusions to U3(11).2
"3.U3(11).2", "U3(11)", ],
[ # fusions to U3(11).3
"3.U3(11).3", "Isoclinic(3.U3(11).3,1)", "Isoclinic(3.U3(11).3,2)",
"U3(11)", ],
[ # fusions to U3(11).S3
"3.U3(11).S3", "U3(11).2", "U3(11).3", ],
[ # fusions to U4(2)
"A6.2_1", "3^5:U4(2)", "3^3:S3", "2^4:A4", "P1/G1/L1/V1/ext2",
"P50/G1/L1/V1/ext2", "P50/G1/L1/V1/ext3", "P50/G1/L1/V1/ext4",
"3^(1+2)+:2A4", "3^3:S4`", "2^1+6.u4q2", "2.SuzM4", "2^6.U4(2)",
"3^5.U4(2)", "3.3^5.U4(2)", "C9Y3.3^5.U4(2)", "b33141", "2.(A4xA4)",
"2^6:U4(2)", "3^3:A4", "5:4", "2.U4(2)", ],
[ # fusions to U4(2).2
"3^3:(S3x2)", "S6x2", "3^(1+2)+:2S4", "3^5:U4(2):2", "2^6.U4(2).2",
"2^(1+6)_-.U4(2).2", "(2x2^(1+8)):U4(2):2", "(2x2^(1+8)):(U4(2):2x2)",
"(A5xU4(2)):2", "(A4xU4(2)):2", "mo62", "s2wrs4", "s3wrs3", "w(f4)",
"3^3.S4", "2^6:U4(2).2", "2x5:4", "2.U4(2).2", "Isoclinic(2.U4(2).2)",
"U4(2)", ],
[ # fusions to U4(3).2_1M4
],
[ # fusions to U5(2)
"L2(11)", "3xU4(2)", "S3x3^(1+2)+:2A4", "2^{1+6}:3^{1+2}:2A4",
"2^(4+4):(3xA5)", "3^4:S5", ],
[ # fusions to U5(2).2
"3^(1+10):U5(2):2", "L2(11).2", "(3xU5(2)).2", "2xU5(2).2", "(3xA6).2_1",
"2^(1+6)_-3.3.3^2:2", "3^3.S4", "3^4:(2xA5)", "U5(2)", ],
[ # fusions to 2.U6(2)
"2.L3(4).2_1", "2.M22", "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])", "2xU5(2)", "2xU4(3).2_2", "2.U6(2)M3",
"2xS6(2)", "2.U4(3).2_2", "2^2.U6(2)", "6.U6(2)", "(2^2x3).U6(2)", ],
[ # fusions to 2.U6(2).2
"2.L3(4).(2^2)_{123}", "2.U6(2)", "2^2.U6(2).2", "6.U6(2).2",
"(2^2x3).U6(2).2", ],
[ # fusions to Isoclinic(2.U6(2).2)
],
[ # fusions to 2^2.U6(2)
"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)", "2x2.U4(3).2_2",
"2^2.U6(2)M3", "(2^2x3).U6(2)", ],
[ # fusions to 2^2.U6(2).2
"D8xS6(2)", "2^2.U6(2)", "(2^2x3).U6(2).2", ],
[ # fusions to 2^2.U6(2).3
"2^2.U6(2)", "(2^2x3).U6(2).3", ],
[ # fusions to 2^2.U6(2).3.2
"2^2.U6(2).2", "2^2.U6(2).3", ],
[ # fusions to 3.U6(2)
"3.L3(4).2_1", "3.M22", "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])", "3xU5(2)", "3.U6(2)M3",
"3_1.U4(3).2_2", "6.U6(2)", "(2^2x3).U6(2)", ],
[ # fusions to 3.U6(2).2
"3.U6(2)", "6.U6(2).2", "Isoclinic(6.U6(2).2)", "(2^2x3).U6(2).2", ],
[ # fusions to 3.U6(2).3
"3.U6(2)", "(2^2x3).U6(2).3", ],
[ # fusions to Isoclinic(3.U6(2).3,1)
],
[ # fusions to Isoclinic(3.U6(2).3,2)
],
[ # fusions to 6.U6(2)
"6.L3(4).2_1", "6.M22", "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])", "2x3_1.U4(3).2_2",
"6.U6(2)M3", "6xU5(2)", "6_1.U4(3).2_2", "(2^2x3).U6(2)", ],
[ # fusions to 6.U6(2).2
"6.L3(4).(2^2)_{123}", "6.U6(2)", "(2^2x3).U6(2).2", ],
[ # fusions to Isoclinic(6.U6(2).2)
],
[ # fusions to U6(2)
"3^4:S6", "3^4:3^2:D8", "S3x5:4", "2^(4+8).(2xA4)", "2^9.2^4.A5a",
"2^9.2^4.A5b", "2^(4+8):(A4xS3)", "L3(4).2_1", "M22", "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", "7:6", "S3xU4(2)", "2^(4+8):(S3xA5)",
"2^9.L3(4)", "11:5", "S6(2)", "U4(3).2_2", "U5(2)", "2.U6(2)", "2^2.U6(2)",
"3.U6(2)", "6.U6(2)", "(2^2x3).U6(2)", ],
[ # fusions to U6(2).2
"L3(4).2^2", "M22.2", "2xS6(2)", "U4(3).(2^2)_{122}", "U5(2).2",
"2.U6(2).2", "Isoclinic(2.U6(2).2)", "2^2.U6(2).2", "3.U6(2).2",
"6.U6(2).2", "U6(2)", "(2^2x3).U6(2).2", ],
[ # fusions to U6(2).3
"2^2.U6(2).3", "3.U6(2).3", "Isoclinic(3.U6(2).3,1)",
"Isoclinic(3.U6(2).3,2)", "U6(2)", "(2^2x3).U6(2).3", ],
[ # fusions to U6(2).3.2
"2^2.U6(2).3.2", "U6(2).2", "U6(2).3", "3.U6(2).3.2", ],
[ # fusions to 3.U6(2).3.2
"3.U6(2).2", "3.U6(2).3", ],
[ # fusions to (2^2x3).U6(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).U6(2)M3", ],
[ # fusions to (2^2x3).U6(2).2
"(2^2x3).U6(2)", ],
[ # fusions to (2^2x3).U6(2).3
"(2^2x3).U6(2)", ],
[ # fusions to U4(4)
"S4(4)", ],
[ # fusions to U4(4).4
"U4(4)", ],
[ # fusions to U4(5)
"S4(5).2", ],
[ # fusions to U4(5).2_1
"U4(5)", ],
[ # fusions to U4(5).2_2
"U4(5)", ],
[ # fusions to U4(5).2_3
"U4(5)", ],
[ # fusions to U4(5).2^2
"U4(5)", "U4(5).2_1", "U4(5).2_2", "U4(5).2_3", ],
[ # fusions to U5(4)
"U4(4)", ],
[ # fusions to U5(4).2
"U5(4)", ],
[ # fusions to U5(3)
"4.U4(3).4", "U4(2).2", ],
[ # fusions to U7(2)
],
[ # fusions to U6(4)
],
];
MakeImmutable( LIBLIST.fusionsource );
LIBLIST.names := [
["(11:5xD12).2","(11:5xd12).2","2.co1n11"],
["(11:5xM12):2","(11:5xm12):2","mn11a"],
["(13:6xA4).2","(13:6xa4).2","co1n13"],
["(13:6xL3(3)).2","(13:6xl3(3)).2","mm35","mn13a"],
["(2.A4x2.G2(4)).2","(2.a4x2.g2(4)).2"],
["(2.A4x3).2","(2.a4x3).2","2.a7m5"],
["(2.A5x2.J2).2","(2.a5x2.j2).2"],
["(2.A5x3).2","(2.a5x3).2","2.a8m6"],
["(2.A5xA5):2","(2.a5xa5):2"],
["(2.A5xD10).2","(2.a5xd10).2","2.j2.2m7"],
["(2.A6x3).2_1","(2.a6x3).2_1","2.a9m3"],
["(2.A6xU3(3)).2","(2.a6xu3(3)).2","2.co1m14"],
["(2.A7x3).2","(2.a7x3).2","2.a10m3"],
["(2.A7xL2(7)).2","(2.a7xl2(7)).2","2.co1m17"],
["(2.A8x3).2","(2.a8x3).2","2.a11m3","3.mcl.2m7"],
["(2.A9x3).2","(2.a9x3).2","2.a12m3"],
["(2.D10x3.A6).2_3","(2.d10x3.a6).2_3"],
["(2.D10xA6).2","(2.d10xa6).2"],
["(2^(1+4)x3).GO+(4,2)","(2^(1+4)x3).go+(4,2)"],
["(2^(1+8).2^3)a.L3(2)","(2^(1+8).2^3)a.l3(2)"],
["(2^(1+8).2^3)b.L3(2)","(2^(1+8).2^3)b.l3(2)"],
["(2^(1+8)x2^6):S6(2)","(2^(1+8)x2^6):s6(2)","f4(2)c2a","f4(2)m1","f4(2)n2a"
],
["(2^2x11:5).2","(2^2x11:5).2","fi23n11"],
["(2^2x13:4):3","(2^2x13:4):3","run13"],
["(2^2x2^(1+8)).(3xU4(2)).2","(2^2x2^(1+8)).(3xu4(2)).2","fi23c2c","fi23m10",
"fi23n2c"],
["(2^2x3).(3^(1+4).[2^7.3])","(2^2x3).(3^(1+4).[2^7.3])","(2^2x3).u6(2)m15"
],
["(2^2x3).2","(2^2x3).2","2.a5.2m4"],
["(2^2x3).2E6(2)","(2^2x3).2e6(2)"],
["(2^2x3).2E6(2).2","(2^2x3).2e6(2).2"],
["(2^2x3).2E6(2)M4","(2^2x3).2e6(2)m4"],
["(2^2x3).2E6(2)M5","(2^2x3).2e6(2)m5"],
["(2^2x3).2E6(2)M8","(2^2x3).2e6(2)m8"],
["(2^2x3).2E6(2)M9","(2^2x3).2e6(2)m9"],
["(2^2x3).L3(4)","(2^2x3).l3(4)"],
["(2^2x3).L3(4).2_1","(2^2x3).l3(4).2_1"],
["(2^2x3).L3(4).2_2","(2^2x3).l3(4).2_2"],
["(2^2x3).L3(4).2_3","(2^2x3).l3(4).2_3"],
["(2^2x3).L3(4).3","(2^2x3).l3(4).3"],
["(2^2x3).U6(2)","(2^2x3).u6(2)","6.fi22m1"],
["(2^2x3).U6(2).2","(2^2x3).u6(2).2","6.fi22.2m2"],
["(2^2x3).U6(2).3","(2^2x3).u6(2).3"],
["(2^2x3).U6(2)M10","(2^2x3).u6(2)m10"],
["(2^2x3).U6(2)M12","(2^2x3).u6(2)m12"],
["(2^2x3).U6(2)M13","(2^2x3).u6(2)m13"],
["(2^2x3).U6(2)M3","(2^2x3).u6(2)m3"],
["(2^2x3).U6(2)M5","(2^2x3).u6(2)m5"],
["(2^2x3).U6(2)M6","(2^2x3).u6(2)m6"],
["(2^2x3).U6(2)M9","(2^2x3).u6(2)m9"],
["(2^2x3^4).2^3.S4","(2^2x3^4).2^3.s4","2^2.o8+(2)m14"],
["(2^2x4).2^5.S3","(2^2x4).2^5.s3"],
["(2^2xA5):2","(2^2xa5):2","m12.2c2a","m12.2m4","m12.2n2a","s4(5)c2b",
"s4(5)m7","s4(5)n2b"],
["(2^2xD14):3","(2^2xd14):3","r(27)m5","r(27)n7","run7"],
["(2^2xF4(2)):2","(2^2xf4(2)):2","bm6"],
["(2^2xSz(8)):3","(2^2xsz(8)):3","rum3"],
["(2^2xU4(2)):2","(2^2xu4(2)):2","o7(3)m12"],
["(2^4:A4xA4).2","(2^4:a4xa4).2"],
["(2^4:S5x3).2","(2^4:s5x3).2","3.m22.2m4"],
["(2^5.2^6)a.(S3xL3(2))","(2^5.2^6)a.(s3xl3(2))"],
["(2^5.2^6)b.(L3(2)xS3)","(2^5.2^6)b.(l3(2)xs3)"],
["(2^5.2^6.2^2)a.S3^2","(2^5.2^6.2^2)a.s3^2"],
["(2^5.2^6.2^2)b.S3^2","(2^5.2^6.2^2)b.s3^2"],
["(2^6x2^8):S6(2)","(2^6x2^8):s6(2)"],
["(2x12).L3(4)","(2x12).l3(4)"],
["(2x13).6","(2x13).6","2.g2(4)n13","2.l2(13)m1","2.suzn13"],
["(2x17).8","(2x17).8","2.l2(17)m1"],
["(2x2.(A5xA5)):2^2","(2x2.(a5xa5)):2^2","2^2.o8+(2)m15"],
["(2x29).14","(2x29).14","2.l2(29)m1","2.run29"],
["(2x2^(1+6)_+).A8","(2x2^(1+6)_+).a8","2^2.o8+(2)m4"],
["(2x2^(1+8)):(U4(2):2x2)","(2x2^(1+8)):(u4(2):2x2)","fi22.2c2b","fi22.2m6",
"fi22.2n2b"],
["(2x2^(1+8)):U4(2):2","(2x2^(1+8)):u4(2):2","fi22c2b","fi22m7","fi22n2b"],
["(2x2^(1+8)_+).2.2^4.(S3xS3)","(2x2^(1+8)_+).2.2^4.(s3xs3)"],
["(2x2^(1+8)_+).O8+(2)","(2x2^(1+8)_+).o8+(2)","2.co1m5"],
["(2x3.A6).2","(2x3.a6).2","2.j2m2"],
["(2x3^(1+2)_+:8):2","(2x3^(1+2)_+:8):2","2.run3","6.l3(4).2_2m6",
"6.l3(4).2_2n3","j4n3"],
["(2x3^3).S4","(2x3^3).s4","2.a9m7"],
["(2x3^3).S4`","(2x3^3).s4`","2.u4(2)m4"],
["(2x3^4:2^3).S4","(2x3^4:2^3).s4","2.o8+(2)m14"],
["(2x3^5).U4(2).2","(2x3^5).u4(2).2","2.o7(3)m2"],
["(2x4).L3(4)","(2x4).l3(4)"],
["(2x4^2).2^4.S3","(2x4^2).2^4.s3"],
["(2x5^2).12","(2x5^2).12","2.l2(25)m1"],
["(2xA6).2^2","(2xa6).2^2","2.m22.2m6"],
["(2xA6).2_3","(2xa6).2_3","2.m22m7"],
["(2xA6.2^2).2","(2xa6.2^2).2","hs.2m8"],
["(2xL3(2)).2","(2xl3(2)).2","2.j2m7"],
["(2xL3(3)).2","(2xl3(3)).2","2.suzm14","2.suzm15"],
["(2xO8+(3)).S4","(2xo8+(3)).s4","2.bm12"],
["(3.A6.2_2xA5):2","(3.a6.2_2xa5):2","3.suz.2m13"],
["(3.A6x2.A5).2","(3.a6x2.a5).2","6.suzm12"],
["(3.A6xA5):2","(3.a6xa5):2","3.suzm12"],
["(3^(1+2)+x3^2):2S4","(3^(1+2)+x3^2):2s4","g2(3)m3","g2(3)n3a"],
["(3^(1+2):2^2xG2(3)):2","(3^(1+2):2^2xg2(3)):2","3.f3+.2m16",
"ndg(m,3^(1+2))"],
["(3^(1+2):4x2.A6).2","(3^(1+2):4x2.a6).2","6.suzm13"],
["(3^(1+2):4xA6).2","(3^(1+2):4xa6).2","3.suzm13"],
["(3^(1+2):4xD10).2","(3^(1+2):4xd10).2","3.onn5"],
["(3^(1+2):8x2.A6).2","(3^(1+2):8x2.a6).2","6.suz.2m14"],
["(3^(1+2):8xA6).2","(3^(1+2):8xa6).2","3.suz.2m14"],
["(3^(1+2)_+:2x13:6).2","(3^(1+2)_+:2x13:6).2"],
["(3^(1+2)x2).SD16","(3^(1+2)x2).sd16"],
["(3^(1+6).3)a.2.S4","(3^(1+6).3)a.2.s4"],
["(3^(1+6).3)b.2.S4","(3^(1+6).3)b.2.s4"],
["(3^2:2x13:6).2","(3^2:2x13:6).2","f3+n13"],
["(3^2:2xG2(3)).2","(3^2:2xg2(3)).2","f3+m17"],
["(3^2:2xO8+(3)).S4","(3^2:2xo8+(3)).s4","mm13"],
["(3^2:4x2.A6).2","(3^2:4x2.a6).2","2.suzm13"],
["(3^2:4xA6).2^2","(3^2:4xa6).2^2","on.2m4"],
["(3^2:4xD10).2","(3^2:4xd10).2","onn5"],
["(3^2:4xa6).2","(3^2:4xa6).2","suzm13"],
["(3^2:8xA6).2","(3^2:8xa6).2","suz.2m14"],
["(3^2:D8xD10).2","(3^2:d8xd10).2","on.2n5"],
["(3^2:D8xU4(3).2^2).2","(3^2:d8xu4(3).2^2).2","bm14"],
["(3^2x2).U4(3)","(3^2x2).u4(3)"],
["(3^2x2).U4(3).2_3'","(3^2x2).u4(3).2_3'"],
["(3^2x2).U4(3).D8","(3^2x2).u4(3).d8","2.co1m10"],
["(3^2x4).U4(3)","(3^2x4).u4(3)"],
["(3x13:6).2","(3x13:6).2","thn13"],
["(3x2.D10).2","(3x2.d10).2","2.a8n5"],
["(3x2.U4(2)):2","(3x2.u4(2)):2","2.o8+(2)m11"],
["(3x2S5).2","(3x2s5).2","u3(5).3.2m4"],
["(3x2^(1+6)_-.U4(2)).2","(3x2^(1+6)_-.u4(2)).2","3.suz.2c2a","3.suz.2m5"],
["(3x2^(2+8):(A5xS3)).2","(3x2^(2+8):(a5xs3)).2","3.suz.2m10"],
["(3x2^(4+6):3A6).2","(3x2^(4+6):3a6).2","3.suz.2m8"],
["(3x3^(1+2)+:2A4).2","(3x3^(1+2)+:2a4).2"],
["(3x3^3:S3):2","(3x3^3:s3):2"],
["(3xA6).2_1","(3xa6).2_1","a9m3"],
["(3xD10).2","(3xd10).2","a8n5","m23n5"],
["(3xG2(3)):2","(3xg2(3)):2","thm5"],
["(3xG2(4)).2","(3xg2(4)).2","3.suz.2m2"],
["(3xL2(16):2).2","(3xl2(16):2).2","3.j3.2m2"],
["(3xL2(25)).2_2","(3xl2(25)).2_2","3.suz.2m15"],
["(3xL3(4).2_2).2","(3xl3(4).2_2).2","3.mcl.2m6"],
["(3xM10):2","(3xm10):2","j3.2m5"],
["(3xMcLN2).2","(3xmcln2).2","ndg(ly,[2^7])"],
["(3xO8+(2)):2","(3xo8+(2)):2","o10-(2)m4"],
["(3xO8+(3):3):2","(3xo8+(3).3):2","(3xo8+(3):3):2","f3+m3","f3+n3a"],
["(3xO8-(2)):2","(3xo8-(2)):2","o10+(2)m5"],
["(3xONN2).2","(3xonn2).2"],
["(3xSL(2,3)):2","(3xsl(2,3)):2"],
["(3xU4(2)):2","(3xu4(2)):2","o8+(2)m10"],
["(3xU5(2)).2","(3xu5(2)).2","3.suz.2m4"],
["(4^2x2)(2xS4)","(4^2x2)(2xs4)","u4(3).(2^2)_{133}m13"],
["(4^2x2).2^3.S3","(4^2x2).2^3.s3"],
["(4^2x2)S4","(4^2x2)s4","u4(3).2_3m11"],
["(4^2x3).L3(4)","(4^2x3).l3(4)"],
["(4^2x3):S3","(4^2x3):s3","u3(11)m9"],
["(4x2^2).2^4.S3","(4x2^2).2^4.s3"],
["(4xA6).2^2","(4xa6).2^2"],
["(4xA6).2_3","(4xa6).2_3","4.m22m7"],
["(4xA6):2","(4xa6):2","l4(3)m6"],
["(5^2:4S4x2.A5):2","(5^2:4s4x2.a5):2","2.bm23"],
["(5^2:[2^4]xU3(5)).S3","(5^2:[2^4]xu3(5)).s3","mm25"],
["(7:3x2.A7):2","(7:3x2.a7):2"],
["(7:3x2.L3(4).2).2","(7:3x2.l3(4).2).2"],
["(7:3x3):2","(7:3x3):2","g2(4)n7","u3(5).3.2m7"],
["(7:3x3):4","(7:3x3):4","2.g2(4)n7"],
["(7:3xA5):2","(7:3xa5):2","hnn7"],
["(7:3xA7):2","(7:3xa7):2"],
["(7:3xHe):2","(7:3xhe):2","mm17"],
["(7:3xL2(7)):2","(7:3xl2(7)):2","3d4(2).3m6","f4(2)n7a","thn7a"],
["(7^2)b:2.L2(7).2","(7^2)b:2.l2(7).2"],
["(7^2:(3x2A4)xL2(7)).2","(7^2:(3x2a4)xl2(7)).2","mm34"],
["(7xL2(7)):2","(7xl2(7)):2","3d4(2)m5"],
["(7xL2(8)).3","(7xl2(8)).3","l6(2)m9"],
["(9x3).S3","(9x3).s3","u3(8)m6"],
["(A10x3):2","(a10x3):2","a13m3"],
["(A4wr2^2):2","(a4wr2^2):2"],
["(A4x11:5).2","(a4x11:5).2","f3+n11"],
["(A4x2(A4xA4).2).2","(a4x2(a4xa4).2).2","o7(3)m15"],
["(A4x3):2","(a4x3):2","a7m5","l3(7)m6"],
["(A4x3.L3(4)).2","(a4x3.l3(4)).2","3.suzm8"],
["(A4x3.L3(4).2_3).2","(a4x3.l3(4).2_3).2","3.suz.2m9"],
["(A4x7:3):2","(a4x7:3):2","suzn7"],
["(A4xA5):2","(a4xa5):2","a9m6","j2.2m6"],
["(A4xD10).2","(a4xd10).2","m24n5"],
["(A4xG2(4)):2","(a4xg2(4)):2","co1m7"],
["(A4xL3(4):2_3):2","(a4xl3(4):2_3):2","suz.2m9"],
["(A4xO8+(2).3).2","(a4xo8+(2).3).2","(a4xo8+(2):3):2","f3+m12"],
["(A4xU4(2)):2","(a4xu4(2)):2","o8+(3)m18"],
["(A5x3):2","(a5x3):2","a8m6"],
["(A5xA12):2","(a5xa12):2","mm18"],
["(A5xA5).(2x4)","(a5xa5).(2x4)","2.o8+(2)m15"],
["(A5xA5):2","(a5xa5):2","g2(4).2m8"],
["(A5xA5):2^2","(a5xa5):2^2","o8+(2)m15","s4(4).2m6"],
["(A5xA5):4","(a5xa5):4","a10m4"],
["(A5xA9):2","(a5xa9).2","(a5xa9):2","a14m6","f3+m18"],
["(A5xD10).2","(a5xd10).2","j2.2m7","o8+(2)n5a","suzn5b"],
["(A5xJ2):2","(a5xj2):2","co1m12"],
["(A5xU3(8):3):2","(a5xu3(8):3):2","mm21"],
["(A5xU4(2)):2","(a5xu4(2)):2","o10+(2)m8"],
["(A6:2_2xA5).2","(a6:2_2xa5).2","suz.2m13"],
["(A6x2.A5).2","(a6x2.a5).2","2.suzm12"],
["(A6xA4).2","(a6xa4).2","a10m5"],
["(A6xA5):2","(a6xa5):2","a11m5"],
["(A6xA6).D8","(a6xa6).d8","hnm8"],
["(A6xA6):2^2","(a6xa6):2^2","a12m4","o8+(3)m24"],
["(A6xA6xA6).(2xS4)","(a6xa6xa6).(2xs4)","mm20"],
["(A6xU3(3)):2","(a6xu3(3)):2","co1m14"],
["(A7x(A5xA5):2^2):2","(a7x(a5xa5):2^2):2","mm27"],
["(A7x3).2","(a7x3).2","a10m3"],
["(A7xA4):2","(a7xa4):2","a11m4"],
["(A7xA5):2","(a7xa5):2","a12m6"],
["(A7xA6):2","(a7xa6):2","a13m6"],
["(A7xL2(7)):2","(a7xl2(7)):2","(a7xl3(2)):2","co1m17"],
["(A8x3).2","(a8x3).2","a11m3","o8-(2)m5"],
["(A8xA4):2","(a8xa4):2","a12m5"],
["(A8xA5):2","(a8xa5):2","a13m5"],
["(A9x3):2","(a9x3):2","a12m3"],
["(A9xA4):2","(a9xa4):2","a13m4"],
["(D10x(A5xA5).2).2","(d10x(a5xa5).2).2","co1m18"],
["(D10x2.(A5xA5).2).2","(d10x2.(a5xa5).2).2","2.co1m18"],
["(D10x2^3.L3(2)).2","(d10x2^3.l3(2)).2","j4n5"],
["(D10x3.A6).2_3","(d10x3.a6).2_3"],
["(D10xA5).2","(d10xa5).2","o8+(2)n5b"],
["(D10xA6).2","(d10xa6).2","suzn5a"],
["(D10xA9).2","(d10xa9).2"],
["(D10xD10).2^2","(d10xd10).2^2","o8+(2)n5"],
["(D10xHN).2","(d10xhn).2","mm12","mn5a"],
["(D10xJ2).2","(d10xj2).2"],
["(D10xU3(5)).2","(d10xu3(5)).2","hnm5","hnn5a"],
["(D10xU3(5)N2).2","(d10xu3(5)n2).2"],
["(D8xA6).2^2","(d8xa6).2^2"],
["(GL(2,3)x2F4(2)').2","(gl(2,3)x2f4(2)').2","2.bm16"],
["(L2(11)x3).2","(l2(11)x3).2","3.m22.2m7"],
["(L2(11)xL2(11)):4","(l2(11)xl2(11)):4","mm32"],
["(L2(11)xM12):2","(l2(11)xm12):2","mm26"],
["(L3(2)xL3(2)).4","(l3(2)xl3(2)).4","f4(2).2m9"],
["(L3(2)xL3(2)):2","(l3(2)xl3(2)):2","f4(2)m14"],
["(L3(2)xL3(4)).2","(l3(2)xl3(4)).2","2e6(2)m16"],
["(L3(2)xL3(4).2_2).2","(l3(2)xl3(4).2_2).2","2e6(2).2m14"],
["(L3(2)xS4(4):2).2","(l3(2)xs4(4):2).2","mm23"],
["(Q16xU3(3)).2","(q16xu3(3)).2"],
["(Q8x13:4):3","(q8x13:4):3","2.run13"],
["(Q8xD14):3","(q8xd14):3","2.run7"],
["(QD16x2F4(2)').2","(qd16x2f4(2)').2","ndg(2.b,qd16)","ndg(m,qd16)"],
["(S3x2.Fi22).2","(s3x2.fi22).2","2.bm9","2.bn6a","3.f3+.2m3","3.f3+.2n6a",
"mn6a"],
["(S3x2.U4(3).2_2).2","(s3x2.u4(3).2_2).2"],
["(S3xS3):2xS5","(s3xs3):2xs5","o8-(2).2m8"],
["(S3xS3xA5):2","(s3xs3xa5):2","o8-(2)m7"],
["(S3xS3xG2(3)):2","(s3xs3xg2(3)):2","f3+.2m16"],
["(S5xS5xS5):S3","(s5xs5xs5):s3","mm31"],
["(S6wr2).2","(s6wr2).2","f4(2).2m7"],
["(S6xL3(4).2).2","(s6xl3(4).2).2","bm19"],
["(S6xS6).2^2","(s6xs6).2^2","hn.2m9"],
["(S6xS6).4","(s6xs6).4","bm22"],
["(S6xS6):2","(s6xs6):2","a12.2m5","s8(2)m10"],
["(SL(2,3)x7:3).2","(sl(2,3)x7:3).2","2.suzn7"],
["(SL2(3)x7:3).2","(sl2(3)x7:3).2","lyn7"],
["(a4xpsl(3,4)):2","(a4xpsl(3,4)):2","suzm8"],
["(a6xa5).2","(a6xa5).2","suzm12"],
["1/2(8xS3)","1/2(8xs3)"],
["109:54","109:54","l2(109)m1"],
["10^2:S3","10^2:s3","l3(11)m4","u3(9)m4"],
["11+^(1+2):(5x2S4)","11+^(1+2):(5x2s4)","j4m7","j4n11"],
["113:56","113:56","l2(113)m1"],
["11:10","11:10","a11.2m7","agl(1,11)","co2n11","j1m5","j1n11","l2(11).2m2",
"l2(11).2n11","m12.2n11","m24n11","onn11","suzn11"],
["11:10xS3","11:10xs3","co1n11"],
["11:20","11:20","2.suzn11"],
["11:5","11:5","hsn11","l2(11)m3","l2(11)n11","m11n11","m12n11","m22n11",
"m23n11","mcln11","u6(2)n11"],
["11:5xS3","11:5xs3","3.mcl.2n11","lyn11"],
["11^(1+2)+:40","11^(1+2)+:40","u3(11)m1"],
["11^2:(5x2.A5)","11^2:(5x2.a5)","11^2:(5x2a5)","mm39","mn11"],
["11^2:(5x2L2(11).2)","11^2:(5x2l2(11).2)","agl(2,11)","l3(11)m1","l3(11)m2"
],
["11^2:60","11^2:60","l2(121)m1"],
["12.A6.2_3","12.a6.2_3"],
["12.M22","12.m22"],
["12.M22.2","12.m22.2"],
["12.M22M2","12.m22m2"],
["12.M22M7","12.m22m7"],
["12.M22N3","12.m22n3"],
["127:7","127:7","l7(2)m4"],
["12_1.L3(4)","12.m22m1","12_1.l3(4)"],
["12_1.L3(4).2_1","12_1.l3(4).2_1"],
["12_1.L3(4).2_2","12_1.l3(4).2_2"],
["12_1.L3(4).2_3","12_1.l3(4).2_3"],
["12_1.U4(3)","12_1.u4(3)"],
["12_1.U4(3).2_1","12_1.u4(3).2_1"],
["12_1.U4(3).2_2","12_1.u4(3).2_2","6.o7(3)m1"],
["12_1.U4(3).2_2'","12_1.u4(3).2_2'"],
["12_2.L3(4)","12_2.l3(4)"],
["12_2.L3(4).2_1","12_2.l3(4).2_1","3.onm4"],
["12_2.L3(4).2_2","12_2.l3(4).2_2"],
["12_2.L3(4).2_3","12_2.l3(4).2_3"],
["12_2.U4(3)","12_2.u4(3)"],
["12_2.U4(3).2_1","12_2.u4(3).2_1"],
["12_2.U4(3).2_3","12_2.u4(3).2_3"],
["12_2.U4(3).2_3'","12_2.u4(3).2_3'"],
["12x11:5","12.m22n11","12x11:5"],
["12x7:3","12.m22n7","12x7:3"],
["133:3","133:3","l3(11)m5"],
["13:12","13:12","2f4(2)'.2m7","3d4(2).3m10","a13.2m8","agl(1,13)",
"f4(2)n13","sz(8).3m3"],
["13:3","13:3","l3(3)m3","u3(4)m4"],
["13:4","13:4","3d4(2)m9","3d4(2)n13","sz(8)m2","sz(8)n13"],
["13:6","13:6","2f4(2)'n13","a13m9","fi22n13","g2(3)n13","g2(4)n13",
"l2(13)m1","l3(3).2m4","o7(3)n13","suzn13","u3(4).2m5"],
["13^(1+2):(3x4S4)","13^(1+2):(3x4s4)","mm36","mn13","mn13b"],
["13^1+2.2A4","13^1+2.2a4"],
["13^2:2.L2(13).4","13^2:2.l2(13).4","mm33"],
["17:16","17:16","agl(1,17)","f3+n17","fi23n17","he.2n17","l2(17).2m2"],
["17:8","17:8","f4(2)n17","hen17","j3n17","l2(17)m1"],
["19:18","19:18","agl(1,19)","j3.2m9","l2(19).2m2","r(27).3m7","r(27).3n19",
"thn19"],
["19:3","19:3","l3(7)m8","u3(8)m7"],
["19:6","19:6","j1m4","j1n19","onn19","r(27)m6","r(27)n19"],
["19:9","19:9","hnn19","j3n19","l2(19)m1","l2(19)n19"],
["2(A4xA4).2^2","2(a4xa4).2^2","2.a8m5","u4(3)m14"],
["2(A4xA4).4.2","2(a4xa4).4.2","u4(3).2_3m7"],
["2(A4xA4).4.2^2","2(a4xa4).4.2^2","u4(3).(2^2)_{133}m9"],
["2(L2(11)x2).2","2(l2(11)x2).2","u3(11)m2"],
["2(L2(7)x4).2","2(l2(7)x4).2","u3(7)m2"],
["2(S4xS4)","2(s4xs4)"],
["2.(13:6xA4).2","2.(13:6xa4).2","2.co1n13"],
["2.(2.(A4xA4).2)","2.(2.(a4xa4).2)","2.u4(2)m5"],
["2.(2.(A4xA4).2.2)","2.(2.(a4xa4).2.2)","2.u4(2).2m6"],
["2.(2^2xSz(8)):3","2.(2^2xsz(8)):3","2.rum3"],
["2.(2^2xU4(2)).2","2.(2^2xu4(2)).2","2.o7(3)m12"],
["2.(2^4:A5)","2.(2^4:a5)","2.u4(2)m1"],
["2.(2^5:S6)","2.(2^5:s6)","2.s6(2)m3"],
["2.(2x2^(1+8)):U4(2):2","2.(2x2^(1+8)):u4(2):2","2.fi22m7"],
["2.(2x3.A7)","12.m22m3","12.m22m4","2.(2x3.a7)"],
["2.(2x3^4:A6)","2.(2x3^4:a6)","4.u4(3)m1"],
["2.(2xA7)","2.(2xa7)","4.m22m3","4.m22m4"],
["2.(2xF4(2)).2","2.(2xf4(2)).2","4.f4(2).2","mc4b"],
["2.(2xL2(11))","2.(2xl2(11))","4.m22m8"],
["2.(3^(1+4).[2^7.3])","2.(3^(1+4).[2^7.3])","2.u6(2)m15"],
["2.(3^(1+6):2^(3+4):3^2:2)","2.(3^(1+6):2^(3+4):3^2:2)","2.fi22m11"],
["2.(3^2:D8xU4(3).2^2).2","2.(3^2:d8xu4(3).2^2).2","2.bm14"],
["2.(3^3:(S4x2))","2.(3^3:(s4x2))","2.u4(2).2m4"],
["2.(A4x2(A4xA4).2).2","2.(a4x2(a4xa4).2).2","2.o7(3)m15"],
["2.(A4xA4)","2.(a4xa4)"],
["2.(A4xG2(4)).2","2.(a4xg2(4)).2","2.co1m7"],
["2.(A4xL3(4)).2","2.(a4xl3(4)).2","2.suzm8"],
["2.(A4xU4(2))","2.(a4xu4(2))","s6(3)c2a","s6(3)m4","s6(3)n2a"],
["2.(A5wr2)","2.(a5wr2)"],
["2.(A5xA4).2","2.(a5xa4).2","2.a9m6"],
["2.(A5xA5).2","2.(a5xa5).2","g2(5)c2a","g2(5)m5","g2(5)n2a"],
["2.(A5xA5).2^2","2.(a5xa5).2^2","2.o8+(2)m16"],
["2.(A5xA5).4","2.(a5xa5).4","2.a10m4"],
["2.(A5xJ2).2","2.(a5xj2).2","2.co1m12"],
["2.(A6xA4).2","2.(a6xa4).2","2.a10m5"],
["2.(A6xA5).2","2.(a6xa5).2","2.a11m5"],
["2.(A6xA6).2^2","2.(a6xa6).2^2","2.a12m4"],
["2.(A7xA4).2","2.(a7xa4).2","2.a11m4"],
["2.(A7xA5).2","2.(a7xa5).2","2.a12m6"],
["2.(A8xA4).2","2.(a8xa4).2","2.a12m5"],
["2.(D10xJ2).2","2.(d10xj2).2"],
["2.(D8x2^2).S3","2.(d8x2^2).s3"],
["2.(D8x3^(1+2)_+:Q8)","2.(d8x3^(1+2)_+:q8)"],
["2.(D8x3^2:Q8)","2.(d8x3^2:q8)"],
["2.(S3x5:4)","2.(s3x5:4)","2.s6(2)n5"],
["2.(S3xS6)","2.(s3xs6)","2.s6(2)m7"],
["2.(S4xS5)","2.(s4xs5)"],
["2.(S6x2)","2.(s6x2)","2.u4(2).2m3"],
["2.(S6xS4)","2.(s6xs4)","2.o7(3)m14"],
["2..11.m23","2..11.m23","f23m6","fi23m6"],
["2.2.2^4+6:S5","2.2.2^4+6:s5","2.rum6"],
["2.2E6(2)","2.2e6(2)"],
["2.2E6(2).2","2.2e6(2).2","bc2a","bm1","bn2a"],
["2.2E6(2)M5","2.2e6(2)m5"],
["2.2E6(2)M9","2.2e6(2)m9"],
["2.2^(1+8)_+:(S3xS3xS3)","2.2^(1+8)_+:(s3xs3xs3)","2.o8+(2)m13"],
["2.2^(1+8)_+:U4(2)","2.2^(1+8)_+:u4(2)","2.u6(2)m2"],
["2.2^(2+12):(A8xS3)","2.2^(2+12):(a8xs3)","2.co1m8"],
["2.2^(2+2).2^(1+1+2+2):S4","2.2^(2+2).2^(1+1+2+2):s4"],
["2.2^(2+8).(3xA5)","2.2^(2+8).(3xa5)","2.g2(4)m2"],
["2.2^(3+3):7","2.2^(3+3):7","2.sz(8)m1","2.sz(8)n2"],
["2.2^(4+12).(S3x3S6)","2.2^(4+12).(s3x3s6)","2.co1m9"],
["2.2^(4+6).(A5x3)","2.2^(4+6).(a5x3)","2.g2(4)m3"],
["2.2^(4+6).2.S3","2.2^(4+6).2.s3"],
["2.2^(4+8):(S3xA5)","2.2^(4+8):(s3xa5)","2.u6(2)m7"],
["2.2^11:M24","2.2^11:m24","2.co1m3"],
["2.2^3+8:L3(2)","2.2^3+8:l3(2)","2.rum4"],
["2.2^3.2^5.S3","2.2^3.2^5.s3"],
["2.2^4+6:S5","2.2^4+6:s5","ruc2a","rum6","run2a"],
["2.2^4.(S3x3^2:2)","2.2^4.(s3x3^2:2)"],
["2.2^4.2.S3","2.2^4.2.s3"],
["2.2^4.2^4.S3","2.2^4.2^4.s3"],
["2.2^4.S6","2.2^4.s6","2.hsm6"],
["2.2^4:3","2.2^4:3"],
["2.2^5.S6","2.2^5.s6","2.a12m10"],
["2.2^6.L3(2)","2.2^6.l3(2)","2.s6(2)m5"],
["2.2^6:u3(3):2","2.2^6:u3(3):2","2.rum2"],
["2.2^8.f20","2.2^8.f20","2f4(2)'c2a","2f4(2)'m3","2f4(2)'n2a"],
["2.3^4.2^3.S4","2.3^4.2^3.s4","2.a12m11"],
["2.4^3.L3(2)","2.4^3.l3(2)","2.hsm7"],
["2.A10","2.a10","2.a11m1"],
["2.A10.2","2.a10.2","2.s10"],
["2.A11","2.a11","2.a12m1","lyc2a","lym4","lyn2a"],
["2.A11.2","2.a11.2","2.s11"],
["2.A11M7","2.a11m7"],
["2.A12","2.a12"],
["2.A12.2","2.a12.2","2.s12"],
["2.A12M8","2.a12m8"],
["2.A13","2.a13"],
["2.A13.2","2.a13.2","2.s13"],
["2.A14.2","2.a14.2","2.s14"],
["2.A15.2","2.a15.2","2.s15"],
["2.A16.2","2.a16.2","2.s16"],
["2.A17.2","2.a17.2","2.s17"],
["2.A18.2","2.a18.2","2.s18"],
["2.A4x3","2.a4x3"],
["2.A4xS3","2.a4xs3","2.m12m11"],
["2.A5","2.a1(4)","2.a1(5)","2.a5","2.a5.2m1","2.a6m1","2.j2m9","2.l2(11)m1",
"2.l2(11)m2","2.l2(19)m2","2.l2(19)m3","2.l2(29)m2","2.l2(29)m3",
"2.l2(31)m2","2.l2(31)m3","2.l2(4)","2.l2(5)","2.o3(4)","2.o3(5)",
"2.o4-(2)","2.s2(4)","2.s2(5)","2.u2(4)","2.u2(5)","isoclinic(2.a5.2)m1"],
["2.A5.2","2.a5.2","2.s5","u3(5)c2a","u3(5)m8","u3(5)n2a"],
["2.A5.2xS3","2.a5.2xs3"],
["2.A5xA5","2.a5xa5","2.g2(4)m7"],
["2.A6","2.a1(9)","2.a6","2.a7m1","2.c2(2)'","2.l2(9)","2.o3(9)","2.o4-(3)",
"2.o5(2)'","2.s2(9)","2.s4(2)'","2.u2(9)"],
["2.A6.2_1","2.a6.2_1","2.a8m4","2.s6","2.u4(2)m2"],
["2.A6.2_2","2.a6.2_2"],
["2.A6M2","2.a6m2"],
["2.A6M5","2.a6m5"],
["2.A6x3","2.a6x3"],
["2.A7","2.a7","2.a8m1","2.suzm17"],
["2.A7.2","2.a7.2","2.s7","2.suz.2m16"],
["2.A7x3","2.a7x3"],
["2.A8","2.a8","2.a9m1","mclc2a","mclm8","mcln2a"],
["2.A8.2","2.a8.2","2.s8"],
["2.A8N3","2.a8n3"],
["2.A9","2.a10m1","2.a9","2.o8+(2)m8"],
["2.A9.2","2.a9.2","2.s9"],
["2.A9M5","2.a9m5"],
["2.A9x3","2.a9x3"],
["2.A9xS3","2.a9xs3","2.co1m16"],
["2.B","2.b","2.f2+","mc2a","mm1","mn2a"],
["2.BN7","2.bn7"],
["2.Co1","2.co1","2.f2-"],
["2.D10xA5","2.d10xa5"],
["2.D12","2.d12","2.l2(11)m4","2.l2(13)m3","2.l3(2).2m4"],
["2.D14","2.d14","2.l2(13)m2"],
["2.D16","2.d16","2.l2(17)m5","2.l3(2).2m3"],
["2.D18","2.d18","2.l2(17)m4","2.l2(19)m5"],
["2.D20","2.d20","2.l2(19)m4"],
["2.D22","2.d22","2.l2(23)m5"],
["2.D24","2.d24","2.l2(23)m4","2.l2(25)m5"],
["2.D26","2.d26","2.l2(25)m4","2.l2(27)m3"],
["2.D28","2.d28","2.l2(27)m2","2.l2(29)m5"],
["2.D30","2.d30","2.l2(29)m4","2.l2(31)m5"],
["2.D32","2.d32","2.l2(31)m4"],
["2.D8","2.a6n2","2.a7n2","2.d8","2.l3(2)n2","q16"],
["2.D8.S5","2.d8.s5"],
["2.F4(2)","2.2e6(2)m4","2.f4(2)"],
["2.F4(2).2","2.f4(2).2"],
["2.F4(2)M1","2.f4(2)m1"],
["2.F4(2)M2","2.f4(2)m2"],
["2.F4(2)M5","2.f4(2)m5"],
["2.F4(2)M6","2.f4(2)m6"],
["2.Fi22","2.2e6(2)m8","2.f22","2.fi22","f23m1","fi23c2a","fi23m1","fi23n2a"
],
["2.Fi22.2","2.fi22.2","f3+c2a","f3+m2","f3+n2a"],
["2.Fi22M13","2.fi22m13"],
["2.Fi22M3","2.fi22m3"],
["2.Fi22M5","2.fi22m5"],
["2.Fi22N2","2.fi22n2","fi23n2"],
["2.G2(4)","2.g2(4)","2.suzm1"],
["2.G2(4).2","2.g2(4).2","g2f4c"],
["2.G2(4)N2","2.g2(4)n2"],
["2.HS","2.hs","2.hs.2m1"],
["2.HS.2","2.hs.2","hnc2a","hnm2","hnn2a"],
["2.HS.2N2","2.hs.2n2"],
["2.HS.2N3","2.hs.2n3"],
["2.HS.2N5","2.hs.2m9","2.hs.2n5","hnn10a"],
["2.HSM10","2.hsm10"],
["2.HSM11","2.hsm11"],
["2.HSM3","2.hsm3"],
["2.HSM9","2.hsm9"],
["2.HSN2","2.hsn2"],
["2.HSN3","2.hsn3"],
["2.HSN3A","2.hsn3a"],
["2.J2","2.f5-","2.g2(4)m1","2.hj","2.j2","2.j2.2m1"],
["2.J2.2","2.f5-.2","2.hj.2","2.j2.2","2.suzm6"],
["2.J2.2N5","2.g2(4).2n5","2.j2.2n5","2.suzn5"],
["2.J2M8","2.g2(4)n5","2.j2m8","2.j2n5"],
["2.J2N2","2.j2n2"],
["2.J2N3","2.j2n3"],
["2.L2(11)","2.a1(11)","2.l2(11)","2.m12m5","2.o3(11)","2.s2(11)","2.u2(11)"
],
["2.L2(11).2","2.l2(11).2"],
["2.L2(13)","2.a1(13)","2.g2(4)m8","2.l2(13)","2.o3(13)","2.s2(13)",
"2.u2(13)"],
["2.L2(13).2","2.l2(13).2"],
["2.L2(17)","2.a1(17)","2.l2(17)","2.o3(17)","2.s2(17)","2.u2(17)"],
["2.L2(17).2","2.l2(17).2"],
["2.L2(19)","2.a1(19)","2.l2(19)","2.o3(19)","2.s2(19)","2.u2(19)"],
["2.L2(19).2","2.l2(19).2"],
["2.L2(23)","2.l2(23)"],
["2.L2(23).2","2.l2(23).2"],
["2.L2(25)","2.l2(25)","2.suzm16"],
["2.L2(25).2_1","2.l2(25).2_1"],
["2.L2(25).2_2","2.l2(25).2_2"],
["2.L2(25)M3","2.l2(25)m3"],
["2.L2(27)","2.l2(27)"],
["2.L2(27).2","2.l2(27).2"],
["2.L2(27).3","2.l2(27).3"],
["2.L2(27).6","2.l2(27).6"],
["2.L2(29)","2.l2(29)","2.rum9"],
["2.L2(29).2","2.l2(29).2"],
["2.L2(3)","2.a5m1","2.a5n2","2.l2(13)m4","2.l2(27)m4","2.l2(3)","sl(2,3)"],
["2.L2(31)","2.l2(31)"],
["2.L2(31).2","2.l2(31).2"],
["2.L2(49)","2.l2(49)"],
["2.L2(49).2_1","2.l2(49).2_1"],
["2.L2(49).2_2","2.l2(49).2_2"],
["2.L2(81)","2.l2(81)"],
["2.L2(81).2_1","2.l2(81).2_1"],
["2.L2(81).2_2","2.l2(81).2_2"],
["2.L2(81).4_1","2.l2(81).4_1"],
["2.L3(2)","2.a1(7)","2.a2(2)","2.a7m2","2.a7m3","2.l2(7)","2.l3(2)",
"2.l3(2).2m1","2.o3(7)","2.s2(7)","2.u2(7)","isoclinic(2.l3(2).2)m1"],
["2.L3(2).2","2.l2(7).2","2.l3(2).2"],
["2.L3(4)","2.l3(4)","2.m22m1"],
["2.L3(4).(2^2)_{1*2*3*}","2.l3(4).(2^2)_{1*2*3*}"],
["2.L3(4).(2^2)_{1*2*3}","2.l3(4).(2^2)_{1*2*3}"],
["2.L3(4).(2^2)_{1*23*}","2.l3(4).(2^2)_{1*23*}"],
["2.L3(4).(2^2)_{1*23}","2.hs.2m3","2.l3(4).(2^2)_{1*23}"],
["2.L3(4).(2^2)_{12*3*}","2.l3(4).(2^2)_{12*3*}"],
["2.L3(4).(2^2)_{12*3}","2.l3(4).(2^2)_{12*3}"],
["2.L3(4).(2^2)_{123*}","2.l3(4).(2^2)_{123*}"],
["2.L3(4).(2^2)_{123}","2.l3(4).(2^2)_{123}"],
["2.L3(4).2_1","2.l3(4).2_1","2.u6(2)m16"],
["2.L3(4).2_2","2.l3(4).2_2","2.m22.2m2"],
["2.L3(4).2_3","2.l3(4).2_3"],
["2.L3(4)M4","2.l3(4)m4"],
["2.L3(4)M5","2.l3(4)m5"],
["2.L3(4)M7","2.l3(4)m7"],
["2.L3(4)M8","2.l3(4)m8"],
["2.L4(3)","2.l4(3)"],
["2.L4(3).2_1","2.l4(3).2_1"],
["2.L4(3).2_2","2.l4(3).2_2","2.o7(3)m3"],
["2.L4(3).2_3","2.l4(3).2_3"],
["2.L4(5)","2.l4(5)"],
["2.M12","2.a12m7","2.m12","2.m12.2m1"],
["2.M12.2","2.m12.2"],
["2.M12M10","2.m12m10"],
["2.M12M2","2.m12m2"],
["2.M12M4","2.m12m4"],
["2.M12M7","2.m12m7"],
["2.M12M8","2.m12m8"],
["2.M12M9","2.m12m9"],
["2.M12N2","2.m12n2"],
["2.M12N5","2.m12n5"],
["2.M22","2.hsm1","2.m22","2.m22.2m1","2.u6(2)m12"],
["2.M22.2","2.hs.2m2","2.m22.2"],
["2.M22M2","2.m22m2"],
["2.M22M5","2.m22m5"],
["2.M22N2","2.m22n2"],
["2.O10-(3)","2.o10-(3)"],
["2.O7(3)","2.o7(3)"],
["2.O7(3).2","2.o7(3).2"],
["2.O7(3)M11","2.o7(3)m11"],
["2.O7(3)M5","2.o7(3)m5"],
["2.O7(3)M8","2.o7(3)m8"],
["2.O7(3)M9","2.o7(3)m9"],
["2.O8+(2)","2.o8+(2)"],
["2.O8+(2).2","2.o8+(2).2","w(e8)"],
["2.O8+(2)M12","2.o8+(2)m12"],
["2.O8+(2)M17","2.o8+(2)m17"],
["2.O8+(2)M3","2.o8+(2)m3"],
["2.O8+(2)M6","2.o8+(2)m6"],
["2.O8+(2)M9","2.o8+(2)m9"],
["2.O8+(3)","2.o8+(3)"],
["2.O8+(7)","2.o8+(7)"],
["2.O8-(3)","2.o8-(3)"],
["2.O9(3)","2.o9(3)"],
["2.Ru","2.ru"],
["2.RuM1","2.rum1"],
["2.RuN2","2.run2"],
["2.S3","2.a5m3","2.a5n3","2.l3(2)n3","2.s3"],
["2.S4","2.a5.2m2","2.s4","m11c2","m11c2a","m11m5","m11n2a","m8:s3"],
["2.S4(5)","2.s4(5)"],
["2.S4(5).2","2.s4(5).2"],
["2.S4x2.S4","2.s4x2.s4"],
["2.S6(2)","2.o7(3)m7","2.o8+(2)m2","2.s6(2)","2.s6f2","co3c2a","co3m6",
"co3n2a"],
["2.S6(3)","2.s6(3)"],
["2.S6(3).2","2.s6(3).2"],
["2.Suz","2.suz","2.suz.2m1"],
["2.Suz.2","2.suz.2"],
["2.SuzM11","2.suzm11"],
["2.SuzM4","2.suzm4"],
["2.SuzM7","2.suzm7"],
["2.SuzM9","2.suzm9"],
["2.SuzN2","2.suzn2"],
["2.Symm(4)","2.a6m4","2.l2(17)m2","2.l2(17)m3","2.l2(23)m2","2.l2(23)m3",
"2.l2(31)m6","2.l2(31)m7","2.l3(2)m1","2.l3(2)m2","2.symm(4)"],
["2.Sz(8)","2.sz(8)"],
["2.U4(2)","2.u4(2)","2.u4(2).2m1"],
["2.U4(2).2","2.s6(2)m1","2.u4(2).2"],
["2.U4(2)N2","2.u4(2)n2"],
["2.U4(3)","2.u4(3)"],
["2.U4(3).(2^2)_{1*2*2*}","2.u4(3).(2^2)_{1*2*2*}"],
["2.U4(3).(2^2)_{1*2*2}","2.u4(3).(2^2)_{1*2*2}"],
["2.U4(3).(2^2)_{1*22}","2.u4(3).(2^2)_{1*22}"],
["2.U4(3).(2^2)_{1*3*3*}","2.u4(3).(2^2)_{1*3*3*}"],
["2.U4(3).(2^2)_{1*3*3}","2.u4(3).(2^2)_{1*3*3}"],
["2.U4(3).(2^2)_{1*33}","2.u4(3).(2^2)_{1*33}"],
["2.U4(3).(2^2)_{12*2*}","2.u4(3).(2^2)_{12*2*}"],
["2.U4(3).(2^2)_{12*2}","2.u4(3).(2^2)_{12*2}"],
["2.U4(3).(2^2)_{122}","2.u4(3).(2^2)_{122}","o8+(3)c2a","o8+(3)m15",
"o8+(3)n2a"],
["2.U4(3).(2^2)_{13*3*}","2.u4(3).(2^2)_{13*3*}"],
["2.U4(3).(2^2)_{13*3}","2.u4(3).(2^2)_{13*3}"],
["2.U4(3).(2^2)_{133}","2.u4(3).(2^2)_{133}"],
["2.U4(3).2_1","2.u4(3).2_1"],
["2.U4(3).2_2","2.u4(3).2_2","2.u6(2)m5","o7(3)c2a","o7(3)m1","o7(3)n2a"],
["2.U4(3).2_2'","2.u4(3).2_2'"],
["2.U4(3).2_3","2.u4(3).2_3"],
["2.U4(3).2_3'","2.u4(3).2_3'"],
["2.U4(3).4","2.u4(3).4"],
["2.U4(3).D8","2.u4(3).d8"],
["2.U6(2)","2.u6(2)","2.u6(2).2m1","fi22c2a","fi22m1","fi22n2a"],
["2.U6(2).2","2.u6(2).2","fi22.2m2"],
["2.U6(2)M10","2.u6(2)m10"],
["2.U6(2)M13","2.u6(2)m13"],
["2.U6(2)M3","2.u6(2)m3"],
["2.U6(2)M6","2.u6(2)m6"],
["2.U6(2)M9","2.u6(2)m9"],
["2.[2^6].(2xS3)","2.[2^6].(2xs3)"],
["2.[2^6]:(S3xS3)","2.[2^6]:(s3xs3)","s6(2)c2b","s6(2)m6","s6(2)n2b"],
["2.[2^9]:5:4","2.[2^9]:5:4","2f4(2)'.2m2"],
["23:11","23:11","co1n23","co2n23","co3n23","f3+n23","fi23n23","l2(23)m1",
"m23m7","m23n23","m24n23"],
["23:22","23:22","agl(1,23)","j4n23","l2(23).2n23"],
["25:4","25:4","sz(32)m3"],
["29:14","29:14","f3+m25","f3+n29","l2(29)m1","run29"],
["2A4xA5","2.j2m5","2.l2(3)xa5","2a4xa5"],
["2A5xD10","2.j2m6","2a5xd10"],
["2E6(2)","2e6(2)","2e6(2).2m1","e6f2"],
["2E6(2).2","2e6(2).2","e6f2.2"],
["2E6(2).2N3C","2e6(2).2m12","2e6(2).2n3c"],
["2E6(2).3","2e6(2).3"],
["2E6(2).3.2","2e6(2).3.2","2e6(2).s3"],
["2E6(2)M4","2e6(2)m4"],
["2E6(2)M5","2e6(2)m5"],
["2E6(2)M8","2e6(2)m8"],
["2E6(2)M9","2e6(2)m9"],
["2E6(2)N3C","2e6(2)m14","2e6(2)n3c"],
["2F4(2)'","2f4(2)'","2f4(2)'.2m1","fi22m9","r(2)'","r2c","tits"],
["2F4(2)'.2","2f4(2)","2f4(2)'.2","f4(2)m11","fi22.2m8","r(2)","rum1",
"tits.2"],
["2F4(2)'.2N2","2f4(2)'.2n2"],
["2F4(2)'M2","2f4(2)'m2"],
["2F4(2)'M7","2f4(2)'m7"],
["2F4(2)'N2","2f4(2)'n2"],
["2F4(2)x2","2f4(2)x2","f4(2).2m4"],
["2F4(8)","2f4(8)"],
["2S5.2","2s5.2","u3(5).2m5"],
["2^(1+1+2+2):S3","2^(1+1+2+2):s3"],
["2^(1+1+2+4).(2x2^(2+4).S3^2)","2^(1+1+2+4).(2x2^(2+4).s3^2)"],
["2^(1+1+3+3).(2x2^(3+3).L3(2))","2^(1+1+3+3).(2x2^(3+3).l3(2))"],
["2^(1+12).3_1.U4(3).2_2'","2^(1+12).3_1.u4(3).2_2'","f3+c2b","f3+m9",
"f3+n2b"],
["2^(1+12)_+.3_1.U4(3).2^2_{122}","2^(1+12)_+.3_1.u4(3).2^2_{122}",
"f3+.2m10"],
["2^(1+22).Co2","2^(1+22).co2","bm2","bn2b"],
["2^(1+3):L3(2)","2.a8m2","2.a8m3","2^(1+3):l3(2)"],
["2^(1+4)+.(S3xS3)","2^(1+4)+.(s3xs3)","g2(3).2m6"],
["2^(1+4)+:3^2.2","2^(1+4)+:3^2.2","g2(3)c2a","g2(3)m10"],
["2^(1+4).S3","2^(1+4).s3","u3(3).2c2a","u3(3).2m4","u3(3).2n2a",
"u3(3).2n4a"],
["2^(1+4).S3^2","2^(1+4).s3^2"],
["2^(1+4).S5","2.a10m6","2^(1+4).s5","j2.2c2a","j2.2m4","j2.2n2a","j3.2c2a",
"j3.2m7","j3.2n2a"],
["2^(1+4)_+.(S3x3^2:2)","2^(1+4)_+.(s3x3^2:2)"],
["2^(1+5+8).(S3xA6)","2.fi22m10","2^(1+5+8).(s3xa6)"],
["2^(1+6).3^(1+2).2S4","2^(1+6).3^(1+2).2s4"],
["2^(1+6)_+.A8","2.o8+(2)m5","2^(1+6)_+.a8"],
["2^(1+6)_+.L3(2).2","2^(1+6)_+.l3(2).2","he.2m4"],
["2^(1+6)_+:3A7","2^(1+6)_+:3a7","6.o7(3)m13"],
["2^(1+6)_+:A7","2.o7(3)m13","2^(1+6)_+:a7"],
["2^(1+6)_+:S5","2^(1+6)_+:s5","hs.2m7"],
["2^(1+6)_-.2^4.A5","2^(1+6)_-.2^4.a5"],
["2^(1+6)_-.3^3.S4","2.a12m9","2^(1+6)_-.3^3.s4"],
["2^(1+6)_-.U4(2).2","2^(1+6)_-.u4(2).2","suz.2c2a","suz.2m5","suz.2n2a"],
["2^(1+6)_-3.3.3^2:2","2^(1+6)_-3.3.3^2:2"],
["2^(1+8)+.O8+(2)","2^(1+8)+.o8+(2)","cenc1","co1c2a","co1m5","co1n2a"],
["2^(1+8)+:L2(8)","2^(1+8)+:l2(8)","3d4(2)m1"],
["2^(1+8).(A5xA5).2","2^(1+8).(a5xa5).2","hnc2b","hnm4","hnn2b"],
["2^(1+8).2^(1+4).S3","2^(1+8).2^(1+4).s3"],
["2^(1+8).2^2.(3xA5).2","2^(1+8).2^2.(3xa5).2"],
["2^(1+8).2^2.S3^2","2^(1+8).2^2.s3^2"],
["2^(1+8).2^3.2^2.S3","2^(1+8).2^3.2^2.s3"],
["2^(1+8).2^4.2.S3","2^(1+8).2^4.2.s3"],
["2^(1+8).2^4.S3^2","2^(1+8).2^4.s3^2"],
["2^(1+8).D8.S3","2^(1+8).d8.s3"],
["2^(1+8):S8","2^(1+8):s8"],
["2^(1+8)_+.(2xA5)","2^(1+8)_+.(2xa5)"],
["2^(1+8)_+.(A4xA4).2","2^(1+8)_+.(a4xa4).2"],
["2^(1+8)_+.(A4xA5)","2^(1+8)_+.(a4xa5)"],
["2^(1+8)_+.(A5xA5).2^2","2^(1+8)_+.(a5xa5).2^2","hn.2m5"],
["2^(1+8)_+.2^2.2^2.2^4.S3","2^(1+8)_+.2^2.2^2.2^4.s3"],
["2^(1+8)_+.2^3.2^2.2^3.S3","2^(1+8)_+.2^3.2^2.2^3.s3"],
["2^(1+8)_+.2^3.2^5.S3","2^(1+8)_+.2^3.2^5.s3"],
["2^(1+8)_+.2^5.S4(2)","2^(1+8)_+.2^5.s4(2)"],
["2^(1+8)_+:(S3xS3xS3)","2^(1+8)_+:(s3xs3xs3)","o8+(2)m13"],
["2^(1+8)_+:L2(8):3","2^(1+8)_+:l2(8):3","3d4(2).3m2"],
["2^(1+8)_+:U4(2)","2^(1+8)_+:u4(2)","u6(2)m2"],
["2^(10+16).O10+(2)","2^(10+16).o10+(2)","mm5"],
["2^(2+1+2).2^(1+1+2).2^2.S4","2^(2+1+2).2^(1+1+2).2^2.s4"],
["2^(2+1+2+4+2).(3xS4)","2^(2+1+2+4+2).(3xs4)"],
["2^(2+10+20).(M22.2xS3)","2^(2+10+20).(m22.2xs3)","bm7"],
["2^(2+11+22).(M24xS3)","2^(2+11+22).(m24xs3)","mm6"],
["2^(2+12):(A8xS3)","2^(2+12):(a8xs3)","co1m8"],
["2^(2+2+4).(S3xS3)","2^(2+2+4).(s3xs3)"],
["2^(2+4).(S3x2)","2^(2+4).(s3x2)"],
["2^(2+4).S3","2^(2+4).s3"],
["2^(2+4):(3x3):2","2^(2+4):(3x3):2"],
["2^(2+4):(3xD10)","2^(2+4):(3xd10)","u3(4).2m2"],
["2^(2+4):(S3xS3)","2^(2+4):(s3xs3)","j2.2m5","j3.2m8","l3(4).d12m5",
"mcl.2m10"],
["2^(2+4):15","2^(2+4):15","u3(4)m1"],
["2^(2+6):3^3:S3","2^(2+6):3^3:s3","s6(3)m5"],
["2^(2+8).2^2.(3xS3)","2^(2+8).2^2.(3xs3)"],
["2^(2+8):(3xA5)","2^(2+8):(3xa5)","2^2+8:(a5xz3)","castbl","g2(4)m2"],
["2^(2+8):(3xA5):2","2^(2+8):(3xa5):2","g2(4).2m3"],
["2^(2+8):(S5xS3)","2^(2+8):(s5xs3)","suz.2m10"],
["2^(3+1+3).L3(2)","2^(3+1+3).l3(2)"],
["2^(3+12).(L3(2)xA6)","2^(3+12).(l3(2)xa6)","f3+m15"],
["2^(3+12).(L3(2)xS6)","2^(3+12).(l3(2)xs6)","f3+.2m14"],
["2^(3+3):7","2^(3+3):7","sz(8)m1","sz(8)n2"],
["2^(3+3):7:3","2^(3+3):7:3","sz(8).3m2","sz(8).3n2"],
["2^(3+3+3).L3(2)","2^(3+3+3).l3(2)"],
["2^(3+6):21","2^(3+6):21","u3(8)m1"],
["2^(3+8):(S3xS6)","2^(3+8):(s3xs6)","s8(2)m5"],
["2^(4+10)(S5xS3)","2^(4+10)(s5xs3)","co2m8"],
["2^(4+10).(S4xS3)","2^(4+10).(s4xs3)"],
["2^(4+12).(S3x3S6)","2^(4+12).(s3x3s6)","co1m9"],
["2^(4+12).(S3x3^(1+2)_+:D8)","2^(4+12).(s3x3^(1+2)_+:d8)"],
["2^(4+4).(S3xS3).2","2^(4+4).(s3xs3).2","he.2m8"],
["2^(4+4):(3xA5)","2^(4+4):(3xa5)","u5(2)m3"],
["2^(4+6).2^2.(3xS3)","2^(4+6).2^2.(3xs3)"],
["2^(4+6):(A5x3)","2^(4+6):(a5x3)","2^4+6:(z3xa5)","g2(4)m3"],
["2^(4+6):(A5x3):2","2^(4+6):(a5x3):2","g2(4).2m4"],
["2^(4+6):3S6","2^(4+6):3s6","suz.2m8"],
["2^(4+8).(2xA4)","2^(4+8).(2xa4)","u6(2)n2"],
["2^(4+8):(A4xS3)","2^(4+8):(a4xs3)"],
["2^(4+8):(S3xA5)","2^(4+8):(s3xa5)","u6(2)m7"],
["2^(5+10+20).(S3xL5(2))","2^(5+10+20).(s3xl5(2))","mm8"],
["2^(5+5):31","2^(5+5):31","sz(32)m1"],
["2^(5+8):(2x3.A6)","2^(5+8):(2x3.a6)"],
["2^(5+8):(2xA6)","2^(5+8):(2xa6)"],
["2^(5+8):(2xS4)","2^(5+8):(2xs4)"],
["2^(5+8):(S3x3.A6)","2^(5+8):(s3x3.a6)","3.fi22m10"],
["2^(5+8):(S3xA6)","2^(5+8):(s3xa6)","fi22m10"],
["2^(5+8):(S3xD8)","2^(5+8):(s3xd8)"],
["2^(5+8):(S3xS4)","2^(5+8):(s3xs4)"],
["2^(5+8):(S3xS6)","2^(5+8):(s3xs6)","fi22.2m9"],
["2^(6+6):(S3xL3(2))","2^(6+6):(s3xl3(2))","s8(2)m7"],
["2^(6+8).(S3xA8)","2^(6+8).(s3xa8)","f3+m16"],
["2^(6+8):(A7xS3)","2^(6+8):(a7xs3)","fi23m11"],
["2^(7+8).(S3xA8)","2^(7+8).(s3xa8)","f3+.2m15"],
["2^(9+16).S8(2)","2^(9+16).s8(2)","bm4"],
["2^1+24.2.Co1","2^1+24.2.co1"],
["2^1+24.Co1","2^(1+24).co1","2^1+24.co1","mc2b","mm2","mn2b"],
["2^1+4+6.a8","2^1+4+6.a8","co2c2b","co2m6","co2n2b"],
["2^1+4b:a5","2^1+4b:a5","j2c2a","j2m3","j2n2a","j3c2a","j3m8","j3n2a",
"s2j2"],
["2^1+6.psl(3,2)","2^1+6.l3(2)","2^1+6.psl(3,2)","hec2b","hem5","hen2b"],
["2^1+6.u4q2","2^1+6.u4q2","suzc2a","suzm4","suzn2a"],
["2^1+8.2.A9","2^1+8.2.a9"],
["2^1+8.a9","2^1+8.a9","thc2a","thm3","thn2a"],
["2^1+8:s6f2","2^1+8:s6f2","c2c2","co2c2a","co2m4","co2n2a"],
["2^10.2^2.2^2.S4","2^10.2^2.2^2.s4"],
["2^10.2^3.2^3.S3","2^10.2^3.2^3.s3"],
["2^10.2^3.L3(2)","2^10.2^3.l3(2)"],
["2^10.2^3.S4","2^10.2^3.s4"],
["2^10.2^4.S5","2^10.2^4.s5"],
["2^10.A8","2^10.a8","s8(2)m4"],
["2^10:(2^5:s5)","2^10:(2^5:s5)"],
["2^10:(L5(2)xS3)","2^10:(l5(2)xs3)","l7(2)m2","p2l72"],
["2^10:L5(2)","2^10:l5(2)","j4m3","o10+(2)m3"],
["2^10:M22'","2^10:m22'"],
["2^10:m22","2^10:m22","f22m5","fi22m5"],
["2^10:m22:2","2^10:m22:2","co2m2"],
["2^11.2^6.3^(1+2).D8","2^11.2^6.3^(1+2).d8"],
["2^11:M24","2^11.m24","2^11:m24","co1m3"],
["2^12.(2^2xD8)","2^12.(2^2xd8)"],
["2^12.(S3x3S6)","2^12.(s3x3s6)"],
["2^12.3^2.U4(3).2_2'","2^12.3^2.u4(3).2_2'"],
["2^12.3_1.U4(3).2_2'","2^12.3_1.u4(3).2_2'"],
["2^12.M24","2^12.m24","f3+.2m8"],
["2^12:(L4(2)xL3(2))","2^12:(l4(2)xl3(2))","l7(2)m3","p3l72"],
["2^12:J2","2^12:j2"],
["2^12:Sz(8)","2^12:sz(8)"],
["2^2+4.3xs3","2^2+4.3xs3","j2m4","j3m9"],
["2^2+8(a5xs3)","2^2+8(a5xs3)","suzm9"],
["2^2.(2^(1+8)_+:(S3xS3xS3))","2^2.(2^(1+8)_+:(s3xs3xs3))","2^2.o8+(2)m13"],
["2^2.(3^2:2A4)","2^2.(3^2:2a4)","2^2.l3(4).3m4"],
["2^2.(3^2:Q8)","2^2.(3^2:q8)","2^2.l3(4)m9"],
["2^2.(3^2:Q8.2)","2^2.(3^2:q8.2)","2^2.l3(4).2_2m6"],
["2^2.(U3(3).2xS4)","2^2.(u3(3).2xs4)"],
["2^2.2E6(2)","2^2.2e6(2)"],
["2^2.2E6(2).2","2.bm1","2^2.2e6(2).2"],
["2^2.2E6(2).3","2^2.2e6(2).3"],
["2^2.2E6(2).3.2","2^2.2e6(2).3.2","2^2.2e6(2).s3","mm4"],
["2^2.2E6(2)M4","2^2.2e6(2)m4"],
["2^2.2E6(2)M5","2^2.2e6(2)m5"],
["2^2.2E6(2)M8","2^2.2e6(2)m8"],
["2^2.2E6(2)M9","2^2.2e6(2)m9"],
["2^2.2^(1+8)_+:U4(2)","2^2.2^(1+8)_+:u4(2)","2^2.u6(2)m2"],
["2^2.2^(3+3):7","2^2.2^(3+3):7","2^2.sz(8)m1"],
["2^2.2^(4+8):(S3xA5)","2^2.2^(4+8):(s3xa5)","2^2.u6(2)m7"],
["2^2.2^8:s3","2^2.2^8:s3","2f4(2)'m5"],
["2^2.Fi22.2","2^2.fi22.2","f3+.2m3"],
["2^2.L3(4)","2^2.l3(4)","2^2.l3(4).2_2m1","2^2.l3(4).3m1","v4.l3(4)"],
["2^2.L3(4).2^2","2^2.l3(4).2^2"],
["2^2.L3(4).2_1","2^2.l3(4).2_1"],
["2^2.L3(4).2_2","2^2.l3(4).2_2","2^2.psl(3,4).s3m2"],
["2^2.L3(4).2_3","2^2.l3(4).2_3"],
["2^2.L3(4).3","2^2.l3(4).3","2^2.psl(3,4).s3m1"],
["2^2.L3(4).3.2_2","2^2.l3(4).3.2_2"],
["2^2.L3(4).3.2_3","2^2.l3(4).3.2_3"],
["2^2.L3(4).6","2^2.l3(4).6"],
["2^2.L3(4).D12","2^2.l3(4).d12","he.2m3"],
["2^2.L3(4)M4","2^2.l3(4)m4"],
["2^2.L3(4)M5","2^2.l3(4)m5"],
["2^2.L3(4)M7","2^2.l3(4)m7"],
["2^2.L3(4)M8","2^2.l3(4)m8"],
["2^2.O8+(2)","2^2.o8+(2)"],
["2^2.O8+(2).2","2^2.o8+(2).2"],
["2^2.O8+(2).3","2^2.o8+(2).3"],
["2^2.O8+(2).3.2","2^2.o8+(2).3.2"],
["2^2.O8+(2)M11","2^2.o8+(2)m11"],
["2^2.O8+(2)M12","2^2.o8+(2)m12"],
["2^2.O8+(2)M16","2^2.o8+(2)m16"],
["2^2.O8+(2)M17","2^2.o8+(2)m17"],
["2^2.O8+(2)M2","2^2.o8+(2)m2"],
["2^2.O8+(2)M3","2^2.o8+(2)m3"],
["2^2.O8+(2)M5","2^2.o8+(2)m5"],
["2^2.O8+(2)M6","2^2.o8+(2)m6"],
["2^2.O8+(2)M8","2^2.o8+(2)m8"],
["2^2.O8+(2)M9","2^2.o8+(2)m9"],
["2^2.O8+(3)","2^2.o8+(3)","spin8+(3)"],
["2^2.O8+(3).3","2^2.o8+(3).3"],
["2^2.S6","2^2.l3(4).2_2m4","2^2.s6"],
["2^2.Sz(8)","2^2.sz(8)","2^2.sz(8).3m1"],
["2^2.Sz(8).3","2^2.sz(8).3"],
["2^2.U4(3).(2^2)_{122}","2^2.u4(3).(2^2)_{122}"],
["2^2.U6(2)","2.fi22m1","2^2.u6(2)","v4.u6(2)"],
["2^2.U6(2).2","2^2.u6(2).2","fi23c2b","fi23m3","fi23n2b"],
["2^2.U6(2).3","2^2.u6(2).3","v4.u6(2).3"],
["2^2.U6(2).3.2","2^2.u6(2).3.2","2^2.u6(2):s3","f3+m8"],
["2^2.U6(2):S3x2","2^2.u6(2):s3x2","f3+.2m9"],
["2^2.U6(2)M10","2^2.u6(2)m10"],
["2^2.U6(2)M12","2^2.u6(2)m12"],
["2^2.U6(2)M13","2^2.u6(2)m13"],
["2^2.U6(2)M3","2^2.u6(2)m3"],
["2^2.U6(2)M5","2^2.u6(2)m5"],
["2^2.U6(2)M6","2^2.u6(2)m6"],
["2^2.U6(2)M9","2^2.u6(2)m9"],
["2^2.[2^6].(S3xS3)","2.s6(2)m6","2^2.[2^6].(s3xs3)"],
["2^2.[2^7*3^2].S3","2^2.2^6.3.(s3xs3)","2^2.[2^7*3^2].s3","co3m12"],
["2^2.[2^9]:(7:3xS3)","2^2.[2^9]:(7:3xs3)","3d4(2).3m3"],
["2^2.[2^9]:(7xS3)","2^2.[2^9]:(7xs3)","3d4(2)m2"],
["2^2.[2^9]:S3","2^2.[2^9]:s3","2f4(2)'.2m4"],
["2^2.psl(3,4).s3","2^2.psl(3,4).s3","hem2"],
["2^24.Co1","2^24.co1"],
["2^2:S4","2^2:s4"],
["2^2x11:5","2.fi22n11","2^2x11:5"],
["2^2x13:4","2^2.sz(8)m2","2^2x13:4"],
["2^2x3^2.2.S4","2^2x3^2.2.s4"],
["2^2x3xS3xU4(2)","(2^2x3).u6(2)m14","2^2x3xs3xu4(2)"],
["2^2x3xS6(2)","(2^2x3).u6(2)m8","2^2x3xs6(2)"],
["2^2x3xU5(2)","(2^2x3).u6(2)m1","2^2x3xu5(2)"],
["2^2xA6","2^2.l3(4)m3","2^2xa6"],
["2^2xD14","2^2.sz(8)m4","2^2xd14"],
["2^2xF4(2)","2^2xf4(2)"],
["2^2xL2(7)","2^2.l3(4)m6","2^2xl2(7)"],
["2^2xS3xU4(2)","2^2.u6(2)m14","2^2xs3xu4(2)"],
["2^2xS6(2)","2^2.u6(2)m8","2^2xs6(2)"],
["2^2xU5(2)","2^2.u6(2)m1","2^2xu5(2)"],
["2^3","2^3"],
["2^3+8:L3(2)","2^3+8:l3(2)","rum4"],
["2^3.(2x2^(1+3+3+3).L3(2))","2^3.(2x2^(1+3+3+3).l3(2))"],
["2^3.(2x2^3.L3(2))","2^3.(2x2^3.l3(2))"],
["2^3.(S4x2)","2^3.(s4x2)","m12.2m5"],
["2^3.2^2.2^6.(3xL3(2))","2^3.2^2.2^6.(3xl3(2))","hnm9"],
["2^3.2^2.2^6.(S3xL3(2))","2^3.2^2.2^6.(s3xl3(2))","hn.2m10"],
["2^3.7.3","2^3.7.3","j1m2","j1n2","l2(8).3m2"],
["2^3.D8","2^3.d8"],
["2^3.L3(2)","2^3.l3(2)","g2(3)m8","g2(5)m7"],
["2^3.L3(2):2","2^3.l3(2):2","g2(3).2m4"],
["2^3.S3","2^3.s3"],
["2^3.S4v1","2^3.s4v1"],
["2^3.S4v2","2^3.s4v2"],
["2^3:7","2^3:7","agl(1,8)","l2(8)m1"],
["2^3:L3(2)xS3","2^3:l3(2)xs3","3.m22.2m5"],
["2^3:sl(3,2)","2^3:sl(3,2)","a8m2","a8m3","agl(3,2)","m22m6"],
["2^4+6:3a6","2^4+6:3a6","suzm7"],
["2^4.(S4x2)","2^4.(s4x2)"],
["2^4.a8","2^4.a8","co3m9"],
["2^4.s6","2^4.s6","hsm6","u4(3).2_1m9"],
["2^4:(3x3):2","2^4:(3x3):2"],
["2^4:(3xA5).2","2^4:(3xa5).2","2^4:(3xa5):2","j3.2m3","m23m6"],
["2^4:(S3xS3)","2^4:(s3xs3)","a8m5","mo61p"],
["2^4:3.S6","2^4:3.s6","3.m22.2m3"],
["2^4:3^2:4","2^4:3^2:4"],
["2^4:A4","2^4:a4","u4(2)n2"],
["2^4:A4b","2^4:a4b","l3(4)n2"],
["2^4:A5","2^4:a5","l3(4)m1","l3(4)m2","m20"],
["2^4:D8","2.a8n2","2^4:d8","m22n2","m23n2","u4(3)n2"],
["2^4:a6","2^4.a6","2^4:a6","m22m2","u4(3)m8"],
["2^4:a7","2^4:a7","m23m3","mclm9"],
["2^4:a8","2^4:a8","agl(4,2)","l5(2)m1","l5(2)m2","m24m3"],
["2^4:s5","2^4:s5","m22m5"],
["2^5.2^4.L4(2)","2^5.2^4.l4(2)"],
["2^5.2^6.(2xL3(2))","2^5.2^6.(2xl3(2))"],
["2^5.2^6.D8.S3","2^5.2^6.d8.s3"],
["2^5.S6","2^5.s6","hs.2m5"],
["2^5.psl(5,2)","2^5.l5(2)","2^5.psl(5,2)","thm2"],
["2^5:A6","2^5:a6"],
["2^5:L5(2)","2^5:l5(2)","agl(5,2)","l6(2)m1","l6(2)m2"],
["2^5:S6","2.m22.2m3","2^5:s6","a12c2b","a12m10","a12n2b","s6(2)c2a",
"s6(2)m3","s6(2)n2a"],
["2^6.2^5.S6","2^6.2^5.s6"],
["2^6.U4(2)","2^6.u4(2)","hnm7"],
["2^6.U4(2).2","2^6.u4(2).2","hn.2m8"],
["2^6:(3xA5)","2^2.l3(4).3m2","2^2.l3(4).3m3","2^6:(3xa5)","s4(4)m1"],
["2^6:(3xA5):2","2^2.psl(3,4).s3m3","2^2.psl(3,4).s3m4","2^6:(3xa5):2",
"s4(4).2m2"],
["2^6:(7xL2(8))","2^6:(7xl2(8))","agl(2,8)","l3(8)m1","l3(8)m2"],
["2^6:(psl(3,2)xs3)","2^6:(psl(3,2)xs3)","l5(2)m3","l5(2)m4","m24m7"],
["2^6:3.s6","2^6:3.s6","hem3","hem4","m24m5"],
["2^6:3A7","2^6:3a7","3.o7(3)m13"],
["2^6:3^(1+2).D8","2^6:3^(1+2).d8"],
["2^6:3^3:S4","2^6:3^3:s4","a12m9"],
["2^6:A7","2^6:a7","o7(3)m13"],
["2^6:A8","2^6:a8","o8+(2)m4"],
["2^6:L3(2)","2^6:l3(2)","s6(2)m5"],
["2^6:L6(2)","2^6:l6(2)","agl(6,2)","l7(2)m1","p1l72"],
["2^6:S4a","2^6:s4a"],
["2^6:S4b","2^6:s4b"],
["2^6:S5","2.m22.2m4","2^6:s5"],
["2^6:S6","2^6:s6","a12.2m9"],
["2^6:S7","2^6:s7","a14m8","o7(3).2m8"],
["2^6:S8","2^6:s8"],
["2^6:U4(2)","2^6:u4(2)","o8-(2)m1"],
["2^6:U4(2).2","2^6:o6f2","2^6:u4(2).2","o8-(2).2m2"],
["2^6:s6f2","2^6:s6(2)","2^6:s6f2","f22m6","fi22m6"],
["2^6:u3(3)","2^6:u3(3)"],
["2^6:u3(3):2","2^6:u3(3):2","rum2"],
["2^7:S6(2)","2^6:s6f2.2","2^7:s6(2)","2^7:s6f2","fi22.2m5"],
["2^8.A9","2^8.a9"],
["2^8:O8+(2)","2^8:o8+(2)","o10+(2)m2"],
["2^8:O8+(2):2","2^8:o8+(2):2","o10+(2).2m3"],
["2^8:O8-(2)","2^8.o8-(2)","2^8:o8-(2)","o10-(2)m1"],
["2^8:O8-(2):2","2^8:o8-(2):2","o10-(2).2m2"],
["2^8:S6(2)","2^8:s6(2)"],
["2^8:S8","2^8:s8"],
["2^8:S8(2)","2^8:s8(2)"],
["2^9.2^4.A5a","2^9.2^4.a5a"],
["2^9.2^4.A5b","2^9.2^4.a5b"],
["2^9.L3(4)","2^9.l3(4)","2^9:l3(4)","u6(2)m3"],
["2^[39].(L3(2)x3.S6)","2^[39].(l3(2)x3.s6)","mm10"],
["2^{1+4}_-:2A5","2.j2m3","2^{1+4}_-:2a5"],
["2^{1+6}:3^{1+2}:2A4","2^{1+6}:3^{1+2}:2a4","u5(2)c2a","u5(2)m1","u5(2)n2a"
],
["2^{1+8}_+:(S3xA5)","2^{1+8}_+:(s3xa5)","o8-(2)m4"],
["2^{3+4}:(3xS3)","2.j2m4","2^{3+4}:(3xs3)"],
["2^{3+6}:(L3(2)x3)","2^{3+6}:(l3(2)x3)","o8-(2)m3"],
["2_1.O12+(3)","2_1.o12+(3)"],
["2x(3.A7)","2x(3.a7)","6.m22m3","6.m22m4"],
["2x(3^(1+6).3)a.2.S4","2x(3^(1+6).3)a.2.s4"],
["2x(3^(1+6).3)b.2.S4","2x(3^(1+6).3)b.2.s4"],
["2x(3^2.QD16)","2x(3^2.qd16)","hsn3"],
["2x(3x2.U4(2)):2","2^2.o8+(2)m10","2x(3x2.u4(2)):2"],
["2x(3xU4(2)):2","2.o8+(2)m10","2x(3xu4(2)):2"],
["2x(7:3xL2(7)):2","2x(7:3xl2(7)):2"],
["2x(A4x3):2","2x(a4x3):2"],
["2x11:10","2x11:10","hnn11"],
["2x11:5","2.hsn11","2.l2(11)m3","2.m12n11","2.m22n11","2x11:5","co3n11",
"fi22n11"],
["2x13:4","2.sz(8)m2","2.sz(8)n13","2x13:4"],
["2x13:6","2.fi22n13","2x13:6"],
["2x19:9","2.l2(19)m1","2x19:9"],
["2x2.(3^3:(S4x2))","2x2.(3^3:(s4x2))"],
["2x2.A4xS3","2x2.a4xs3"],
["2x2.A9","2^2.o8+(2)m7","2x2.a9"],
["2x2.F4(2)","2^2.2e6(2)m3","2x2.f4(2)"],
["2x2.Fi22","2^2.2e6(2)m7","2x2.fi22"],
["2x2.M12","2x2.m12"],
["2x2.M22","2^2.u6(2)m11","2x2.m22"],
["2x2.S6(2)","2^2.o8+(2)m1","2x2.s6(2)"],
["2x2.U4(2).2","2x2.u4(2).2"],
["2x2.U4(3).2_2","2^2.u6(2)m4","2x2.u4(3).2_2"],
["2x23:11","2.l2(23)m1","2x23:11"],
["2x2F4(2)'","2.fi22m9","2x2f4(2)'"],
["2x2^3:L3(2)","2.m22m6","2^3:l3(2)x2","2x2^3:l3(2)","m22.2c2b","m22.2m5",
"m22.2n2b"],
["2x2^3:L3(2)x2","2.m22.2m5","2x2^3:l3(2)x2"],
["2x3.(3^(3+3):L3(3))","2x3.(3^(3+3):l3(3))","6.o7(3)m6"],
["2x3.(A4x3):2","2x3.(a4x3):2"],
["2x3.3^5:(3^2:SD16)","2x3.3^5:(3^2:sd16)","6.suzn3"],
["2x3.A6","2x3.a6"],
["2x3.Fi22","2x3.fi22","6.2e6(2)m7"],
["2x3.Fi22N3","2x3.fi22n3","6.fi22n3"],
["2x3.G2(3)","2x3.g2(3)","6.o7(3)m4"],
["2x3.M22","2x3.m22","6.u6(2)m11"],
["2x3.O7(3)","2x3.o7(3)","6.fi22m2"],
["2x3.S6","2x3.s6"],
["2x31:15","2.l2(31)m1","2x31:15"],
["2x3^(1+2)+:2A4","2.u4(2)m3","2x3^(1+2)+:2a4"],
["2x3^(1+2)_+:2S4","2.u4(2).2m5","2x3^(1+2)_+:2s4"],
["2x3^(1+4).2U4(2).2","2.co1m13","2x3^(1+4).2u4(2).2"],
["2x3^(3+3):L3(3)","2.o7(3)m6","2x3^(3+3):l3(3)"],
["2x3^(3+3)b:L3(3)","2x3^(3+3)b:l3(3)"],
["2x3^2.2.S4","2.m12m6","2x3^2.2.s4","l3(4).d12m6"],
["2x3^2:2A4","2.a9m8","2x3^2:2a4"],
["2x3^3:(S3x2)","2.s6(2)n3","2x3^3:(s3x2)"],
["2x3^3:13","2.l2(27)m1","2x3^3:13"],
["2x3^3:S3","2.u4(2)n3","2x3^3:s3"],
["2x3^4:(2xA6)","2x3^4:(2xa6)","isoclinic(2.u4(3).2_1)m2"],
["2x3^4:A6","2.u4(3)m1","2x3^4:a6"],
["2x3^5.3^(1+2).2.S4","2x3^5.3^(1+2).2.s4"],
["2x3^5.3^3.(2xS4)","2x3^5.3^3.(2xs4)"],
["2x3^5:(3^2:SD16)","2.suzn3","2x3^5:(3^2:sd16)"],
["2x3^5:M11","2.suzm5","2x3^5:m11"],
["2x3^5:U4(2):2","2x3^5:u4(2):2"],
["2x3^6.M11","2x3^6.m11","6.suzm5"],
["2x3^6:2.M12","2.co1m11","2x3^6:2.m12"],
["2x3_1.U4(3).2_2","2x3_1.u4(3).2_2","6.u6(2)m4"],
["2x47:23","2.bm30","2x47:23","mn47"],
["2x5:4","2.m22n5","2.sz(8)m3","2.sz(8)n5","2x5:4","m12n5","m22.2n5",
"u4(2).2n5","u4(3).2_1n5","u4(3).2_2n5","u4(3).2_3n5"],
["2x5^(1+2):GL2(5)","2.co1m19","2x5^(1+2):gl2(5)"],
["2x5^2:2A5","2.co1m22","2x5^2:2a5"],
["2x5^2:4S5","2.rum10","2x5^2:4s5"],
["2x6.Fi22","(2^2x3).2e6(2)m7","2x6.fi22"],
["2x6.M22","(2^2x3).u6(2)m11","2x6.m22"],
["2x6_1.U4(3).2_2","(2^2x3).u6(2)m4","2x6_1.u4(3).2_2"],
["2x6x11:5","2x6x11:5","6.fi22n11"],
["2x7:3","2.a7n7","2.a8n7","2.l3(2)m3","2.l3(2)n7","2.m22n7","2x7:3","m23n7",
"mcln7","u4(3).2_1n7"],
["2x7:6","2.s6(2)n7","2x7:6","o7(3)n7"],
["2x7^2:(3x2A4)","2.co1m21","2.co1n7","2x7^2:(3x2a4)","2xco1n7"],
["2xA5","2xa5","j1c2a","j1m3","j1n2a","l2(16).2c2b","l2(16).2n2b",
"l3(4).2_3c2b","l3(4).2_3n2b"],
["2xA6","2.l3(4)m3","2xa6"],
["2xA7","2.m22m3","2.m22m4","2xa7"],
["2xA8","2.rum8","2xa8"],
["2xA9","2.o8+(2)m7","2xa9"],
["2xBN5","2.bn5","2xbn5"],
["2xCo1N3","2.co1n3","2xco1n3"],
["2xCo1N5","2.co1n5","2xco1n5"],
["2xCo2","2.co1m1","2xco2"],
["2xCo3","2.co1m4","2xco3"],
["2xF4(2)","2.2e6(2)m3","2xf4(2)"],
["2xF4(2).2","2xf4(2).2"],
["2xFi22","2.2e6(2)m7","2xfi22"],
["2xFi22.2","2xfi22.2"],
["2xFi22N3","2.fi22n3","2xfi22n3"],
["2xFi22N5","2.fi22n5","2xfi22n5","fi23n5"],
["2xFi23","2.bm3","2xfi23","f3+.2m2"],
["2xG2(3)","2.o7(3)m4","2xg2(3)"],
["2xL2(11)","2.m22m8","2xl2(11)"],
["2xL2(11).2","2.m12.2m2","2.m22.2m7","2xl2(11).2"],
["2xL3(2)","2.l3(4)m6","2xl3(2)"],
["2xM11","2.a11m6","2.bm26","2.hsm8","2.m12m1","2xm11","mcl.2c2b","mcl.2m8",
"mcl.2n2b"],
["2xM12N3","2.m12n3","2xm12n3"],
["2xM22","2.u6(2)m11","2xm22"],
["2xO7(3)","2.fi22m2","2xo7(3)"],
["2xS3x2.S4","2xs3x2.s4"],
["2xS3x2.U4(3).2_2","2xs3x2.u4(3).2_2"],
["2xS3x7:6","2.fi22n7","2xs3x7:6"],
["2xS3xS6(2)","2.f4(2)n3a","2xs3xs6(2)"],
["2xS3xU4(2)","2.u6(2)m14","2xs3xu4(2)"],
["2xS3xU4(3).(2^2)_{122}","2xs3xu4(3).(2^2)_{122}"],
["2xS3xU4(3).2_2","2xs3xu4(3).2_2"],
["2xS5","2xs5","a7.2c2b","a7.2m3","a7.2n2b","l2(25).2_2c2b","l2(25).2_2n2b",
"l3(4).2^2c2d","l3(4).2^2n2d","m12c2a","m12m8","m12n2a"],
["2xS6(2)","2.o8+(2)m1","2.u6(2)m8","2xs6(2)","o8+(2).2m2","o8-(2).2m3",
"w(e7)"],
["2xSymm(4)","2xsymm(4)","a6.2_1c2b","a6.2_1m5","l3(3).2m5"],
["2xTh","2.bm5","2xth"],
["2xU3(3)","2.j2m1","2xu3(3)","u4(3).2_1c2b","u4(3).2_1m8","u4(3).2_1n2b"],
["2xU3(3).2","2.s6(2)m4","2xu3(3).2","g2(4).2m7","s6(3)c2b","s6(3)m7",
"s6(3)n2b","u4(3).(2^2)_{133}m8"],
["2xU3(5).2","2.rum5","2xu3(5).2"],
["2xU4(3).(2^2)_{122}","2xu4(3).(2^2)_{122}"],
["2xU4(3).2_2","2.u6(2)m4","2xu4(3).2_2"],
["2xU5(2)","2.suzm3","2.u6(2)m1","2xu5(2)"],
["2xU5(2).2","2.suz.2m4","2xu5(2).2"],
["2xU6(2).3.2","2.co1m6","2xu6(2).3.2"],
["2xa6.2^2","2xa6.2^2","hsc2b","hsm11","hsn2b","u4(3).(2^2)_{133}m10"],
["2xm12","2.fi22m14","2xm12","co3c2b","co3m11","co3n2b"],
["3.(2x2^(1+8)):(U4(2):2x2)","3.(2x2^(1+8)):(u4(2):2x2)"],
["3.(3^(1+2)+x3^2):2S4","3.(3^(1+2)+x3^2):2s4","3.g2(3)m3"],
["3.(3^(1+4).[2^7.3])","3.(3^(1+4).[2^7.3])","3.u6(2)m15"],
["3.(3^(3+3):L3(3))","3.(3^(3+3):l3(3))","3.o7(3)m6"],
["3.(3xM10):2","3.(3xm10):2","3.j3.2m5","ndg(3.j3.2,3^2)"],
["3.(A4x2(A4xA4).2).2","3.(a4x2(a4xa4).2).2","3.o7(3)m15"],
["3.(A4x3):2","3.(a4x3):2","3.a7m5","3.l3(7)m6"],
["3.2E6(2)","3.2e6(2)"],
["3.2E6(2).2","3.2e6(2).2"],
["3.2E6(2)M4","3.2e6(2)m4"],
["3.2E6(2)M5","3.2e6(2)m5"],
["3.2E6(2)M8","3.2e6(2)m8"],
["3.2E6(2)M9","3.2e6(2)m9"],
["3.2^(1+12).3U4(3).2","3.2^(1+12).3u4(3).2","3.f3+n2b"],
["3.2^(1+4)+:3^2.2","3.2^(1+4)+:3^2.2","3.g2(3)m10"],
["3.2^(2+4):(3x3):2","3.2^(2+4):(3x3):2"],
["3.2^(2+4):(S3xS3)","3.2^(2+4):(s3xs3)","3.mcl.2m10"],
["3.2^4:a7","3.2^4:a7","3.mclm9"],
["3.3^(1+4):2S5","3.3^(1+4):2s5","3.mclm5"],
["3.3^(1+4):4S5","3.3^(1+4):4s5","3.mcl.2m4"],
["3.3^(1+6):2^(3+4):3^2:2","3.3^(1+6):2^(3+4):3^2:2","3.fi22m11"],
["3.3^(2+4):2(A4x2^2).2","3.3^(2+4):2(a4x2^2).2","3.suzm11"],
["3.3^(2+4):2(S4xD8)","3.3^(2+4):2(s4xd8)","3.suz.2m12"],
["3.3^4.3^2.Q8","3.3^4.3^2.q8","3.mcln3"],
["3.3^5.U4(2)","3.3^5.u4(2)"],
["3.3^5:(3^2:SD16)","3.3^5:(3^2:sd16)","3.suzn3"],
["3.3^5:U4(2):2","3.3^5:u4(2):2","3.o7(3)m2"],
["3.A6","3.a1(9)","3.a6","3.a6.2_1m1","3.a7m1","3.c2(2)'","3.l2(9)",
"3.l3(4)m3","3.o3(9)","3.o4-(3)","3.o5(2)'","3.s2(9)","3.s4(2)'","3.u2(9)"
],
["3.A6.(2x4)","2.rum11","3.a6.(2x4)"],
["3.A6.2^2","3.a6.2^2","3.a6.v4","3.m22.2m6","j2.2m3","j2.2n3a","rum11",
"run3a"],
["3.A6.2_1","3.a6.2_1","3.s6"],
["3.A6.2_2","3.a6.2_2","3.pgl(2,9)","j2m2","j2n3a"],
["3.A6.2_3","3.a6.2_3","3.m22m7","3.u3(5)m5"],
["3.A6M2","3.a6m2"],
["3.A6M5","3.a6m5"],
["3.A7","3.a7","3.m22m3","3.m22m4","3.onm12","3.onm13","3.suzm17",
"3.u3(5)m1"],
["3.A7.2","3.a7.2","3.s7","3.suz.2m16","hem7","hen3a"],
["3.F3+","3.f3+","3.fi24'","3.fi24'.2m1"],
["3.F3+.2","3.f3+.2","3.fi24","3.fi24'.2","mm3","mn3a"],
["3.F3+.2N5","3.f3+.2n5"],
["3.F3+.2N7","3.f3+.2n7"],
["3.F3+N5","3.f3+n5"],
["3.Fi22","3.2e6(2)m7","3.fi22","3.fi22.2m1"],
["3.Fi22.2","3.fi22.2"],
["3.Fi22M3","3.fi22m3"],
["3.Fi22M5","3.fi22m5"],
["3.Fi22N3","3.fi22n3"],
["3.G2(3)","3.g2(3)","3.o7(3)m4"],
["3.G2(3).2","3.g2(3).2"],
["3.G2(3)M2","3.g2(3)m2"],
["3.G2(3)M4","3.g2(3)m4"],
["3.G2(3)M6","3.g2(3)m6"],
["3.J3","3.j3","3.j3.2m1"],
["3.J3.2","3.j3.2"],
["3.L3(4)","3.l3(4)","3.m22m1"],
["3.L3(4).2^2","3.l3(4).2^2","3.l3(4).v4","g2(4).2m6"],
["3.L3(4).2_1","3.l3(4).2_1","3.u6(2)m16"],
["3.L3(4).2_2","3.l3(4).2_2","3.m22.2m2"],
["3.L3(4).2_3","3.l3(4).2_3","g2(4)m5","g2(4)n3a"],
["3.L3(4).3","3.l3(4).3"],
["3.L3(4).3.2_2","3.l3(4).3.2_2","l6(2)m7"],
["3.L3(4).3.2_3","3.l3(4).3.2_3"],
["3.L3(4).6","3.l3(4).6"],
["3.L3(4)M4","3.l3(4)m4"],
["3.L3(4)M5","3.l3(4)m5"],
["3.L3(4)M7","3.l3(4)m7"],
["3.L3(4)M8","3.l3(4)m8"],
["3.L3(7)","3.l3(7)"],
["3.L3(7).2","3.l3(7).2"],
["3.L3(7).3","3.l3(7).3"],
["3.L3(7).S3","3.l3(7).s3"],
["3.L3(7)M2","3.l3(7)m2"],
["3.L3(7)M4","3.l3(7)m4"],
["3.L3(7)M5","3.l3(7)m5"],
["3.M22","3.m22","3.m22.2m1","3.mclm2","3.u6(2)m11"],
["3.M22.2","3.m22.2"],
["3.M22M2","3.m22m2"],
["3.McL","3.mcl","3.mcl.2m1"],
["3.McL.2","3.mcl.2","lym2","lyn3a"],
["3.McL.2N3","3.mcl.2n3"],
["3.McL.2N5","3.mcl.2m9","3.mcl.2n5"],
["3.McLM10","3.mclm10"],
["3.McLM3","3.mclm3"],
["3.O7(3)","3.fi22m2","3.o7(3)"],
["3.O7(3).2","3.o7(3).2"],
["3.O7(3)M11","3.o7(3)m11"],
["3.O7(3)M5","3.o7(3)m5"],
["3.O7(3)M8","3.o7(3)m8"],
["3.O7(3)M9","3.o7(3)m9"],
["3.ON","3.o'n","3.on","3.on.2m1"],
["3.ON.2","3.o'n.2","3.on.2"],
["3.ON.2M4","3.on.2m4"],
["3.ON.2N3","3.on.2n3"],
["3.ON.2N7","3.on.2n7"],
["3.ONM5","3.onm5"],
["3.ONM6","3.onm6","3.onn3"],
["3.Suz","3.suz","3.suz.2m1"],
["3.Suz.2","3.suz.2","co1m2","co1n3a"],
["3.U3(11)","3.u3(11)"],
["3.U3(11).2","3.u3(11).2"],
["3.U3(11).3","3.u3(11).3"],
["3.U3(11).S3","3.u3(11).s3"],
["3.U3(5)","3.mclm4","3.u3(5)"],
["3.U3(5).2","3.mcl.2m3","3.u3(5).2","g2(5)m3","g2(5)n3a"],
["3.U3(5).3","3.u3(5).3"],
["3.U3(5).S3","3.u3(5).s3"],
["3.U3(5)M2","3.u3(5)m2"],
["3.U3(5)M3","3.u3(5)m3"],
["3.U3(5)M6","3.u3(5)m6"],
["3.U3(5)M7","3.u3(5)m7"],
["3.U3(8)","3.u3(8)","u3q8a"],
["3.U3(8).2","3.u3(8).2"],
["3.U3(8).3_1","3.u3(8).3_1"],
["3.U3(8).3_2","3.u3(8).3_2"],
["3.U3(8).6","3.u3(8).6"],
["3.U3(8).S3","3.u3(8).s3"],
["3.U6(2)","3.u6(2)"],
["3.U6(2).2","3.u6(2).2"],
["3.U6(2).3","3.u6(2).3"],
["3.U6(2).3.2","3.u6(2).3.2","3.u6(2).s3","3.u6(2):s3"],
["3.U6(2)M10","3.u6(2)m10"],
["3.U6(2)M12","3.u6(2)m12"],
["3.U6(2)M13","3.u6(2)m13"],
["3.U6(2)M3","3.u6(2)m3"],
["3.U6(2)M5","3.u6(2)m5"],
["3.U6(2)M6","3.u6(2)m6"],
["3.U6(2)M9","3.u6(2)m9"],
["3.s7x2","3.s7x2","he.2m6"],
["31:10","31:10","j4n31"],
["31:15","31:15","bn31","l2(31)m1","onn31","thm15","thn31"],
["31:3","31:3","l3(5)m5"],
["31:30","31:30","agl(1,31)","on.2m8"],
["31:5","31:5","l5(2)m5"],
["31:6","31:6","g2(5)n31","l3(5).2m6","l3(5).2n31","lyn31"],
["37:12","37:12","j4m13","j4n37"],
["37:18","37:18","lym9","lyn37","r(27).3m5","r(27).3n37"],
["37:3","37:3","u3(11)m10"],
["3D4(2)","3d4(2)","3d4(2).3m1","st2"],
["3D4(2).3","3d4(2).3","f4(2)m9","st2.3","thm1"],
["3D4(3)","3d4(3)"],
["3D4(4)","3d4(4)"],
["3^(1+10):(2xU5(2):2)","3^(1+10):(2xu5(2):2)","f3+.2m7"],
["3^(1+10):U5(2):2","3^(1+10):u5(2).2","3^(1+10):u5(2):2","f3+m6","f3+n3b"],
["3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)",
"3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2s4)"],
["3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4","3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2s4"],
["3^(1+12).(2xU5(2).2)","3^(1+12).(2xu5(2).2)"],
["3^(1+12).2.Suz.2","3^(1+12).2.suz.2","3^(1+12):2.suz.2","mm7","mn3b"],
["3^(1+12):6.Suz.2","3^(1+12):6.suz.2"],
["3^(1+2)+.2S4","3^(1+2)+.2s4","3d4(2)m6"],
["3^(1+2)+:2A4","3^(1+2)+:2a4","u4(2)m3"],
["3^(1+2)+:2S4","3^(1+2)+:2s4","u4(2).2m4"],
["3^(1+2):4","3.a6m3","3.a6n3","3.a7n3","3^(1+2):4"],
["3^(1+2):8","3^(1+2):8","3^1+2:8","j2n3","u3(3)m1","u3(3)n3"],
["3^(1+2):8:4","2.g2(4)n3","3^(1+2):8:4"],
["3^(1+2):D8","2f4(2)'n3","3.a6.2_1n3","3.a7.2n3","3^(1+2):d8","hen3",
"l3(3).2m2","m12.2m7","m24n3"],
["3^(1+2):SD16","2f4(2)'.2m6","3^(1+2):sd16","g2(4)n3","j2.2n3","run3",
"u3(3).2m2"],
["3^(1+2)_+","3^(1+2)_+"],
["3^(1+2)_+.(2S4x3)","3^(1+2)_+.(2s4x3)","3d4(2).3m7"],
["3^(1+2)_+:2","3^(1+2)_+:2"],
["3^(1+2)_+:Q8","3.l3(4)m9","3.l3(4)n3","3.l3(7)m7","3.m22n3","3^(1+2)_+:q8"
],
["3^(1+4)+.2^(1+4)-.S3","3^(1+4)+.2^(1+4)-.s3","u4(3).(2^2)_{133}m7"],
["3^(1+4)+.4S4","3^(1+4)+.4s4","u4(3).2_1m7"],
["3^(1+4).2U4(2)","3^(1+4).2u4(2)","co1c3c","s6(3)m1"],
["3^(1+4).2U4(2).2","3^(1+4).2u4(2).2","3^(1+4):2u4(2):2","co1m13","co1n3c",
"s6(3).2m1"],
["3^(1+4).2^(1+1+2+2).S3","3^(1+4).2^(1+1+2+2).s3","u6(2)m15"],
["3^(1+4):2S5","3^(1+4):2s5","3^1+4:2.s5","mclm5","mcln3a"],
["3^(1+4):4A5","3^(1+4):4a5","hnm14","hnn3b"],
["3^(1+4):4S4","3^(1+4):4s4","u4(3).2_3m5"],
["3^(1+4):4S5","3^(1+4):4s5","mcl.2m4","mcl.2n3a"],
["3^(1+4)_+.2S4","3^(1+4)_+.2s4","u4(3)m6"],
["3^(1+4)_+:(S3xQD16)","3^(1+4)_+:(s3xqd16)","co2n3","u4(3).d8n3"],
["3^(1+6):2^(3+4):3^2:2","3^(1+6):2^(3+4):3^2:2","fi22m11","fi22n3b"],
["3^(1+6)_+:2^(3+4):(S3xS3)","3^(1+6)_+:2^(3+4):(s3xs3)","fi22.2m11",
"fi22.2n3b"],
["3^(1+8).2^(1+6).3^(1+2).2S4","3^(1+8).2^(1+6).3^(1+2).2s4","fi23m7",
"fi23n3b"],
["3^(1+8).2^(1+6).U4(2).2","3^(1+8).2^(1+6).u4(2).2","bm13","bn3b"],
["3^(2+4):2(S4xD8)","3^(2+4):2(s4xd8)","suz.2m12"],
["3^(2+4):2A5.D8","3^(2+4):2a5.d8","lym7"],
["3^(2+4):80","3^(2+4):80","u3(9)m1"],
["3^(2+5+10).(M11x2S4)","3^(2+5+10).(m11x2s4)","mm14"],
["3^(3+2+6+6):(L3(3)xSD16)","3^(3+2+6+6):(l3(3)xsd16)","mm15"],
["3^(3+3):L3(3)","3^(3+3):l3(3)","o7(3)m6"],
["3^(3+3)b:L3(3)","3^(3+3)b:l3(3)"],
["3^(3+4):(2.S4)^2","2.co1m15","3^(3+4):(2.s4)^2"],
["3^(3+4):2(S4xA4)","3^(3+4):2(s4xa4)","s6(3)m3"],
["3^(3+4):2(S4xS4)","3^(3+4):2(s4xs4)","co1m15"],
["3^(3+6):(L3(3)x2)","3^(3+6):(l3(3)x2)","o8+(3).2_2m8"],
["3^(3+6):(L3(3)xD8)","3^(3+6):(l3(3)xd8)"],
["3^(3+6):26","3^(3+6):26","r(27)m1","r(27)n3"],
["3^1+4:2^1+4.s5","3^1+4:2^1+4.s5","co2m10","co2n3a","gg"],
["3^1+4:4s6","3^1+4:4s6","co3m8","co3n3a"],
["3^12.6.Suz.2","3^12.6.suz.2"],
["3^2","3^2"],
["3^2+4:2(2^2xa4)2","3^2+4:2(2^2xa4)2","suzm11"],
["3^2.(3^(1+4)_+.2S4)","3^2.(3^(1+4)_+.2s4)","3^2.u4(3)m6"],
["3^2.(3^4:A6)","3^2.(3^4:a6)","3^2.u4(3)m1"],
["3^2.(3x3^(1+2)+):2^2","3^2.(3x3^(1+2)+):2^2","g2(3)n3"],
["3^2.(3x3^(1+2)+):D8","3^2.(3x3^(1+2)+):d8","g2(3).2m2"],
["3^2.2.S4","3^2.2.s4","a9.2m7","agl(2,3)","l3(3)m1","l3(3)m2","m12hut",
"m12m6","m9:s3","u3(5).3.2m6"],
["3^2.3^(1+2):8","3^2.3^(1+2):8","j3m7","j3n3"],
["3^2.3^(1+2):8.2","3^2.3^(1+2):8.2","j3.2m6"],
["3^2.3^3.3^6.(S4x2S4)","3^2.3^3.3^6.(s4x2s4)","bm17"],
["3^2.3^4.3^8.(A5x2A4).2","3^2.3^4.3^8.(a5x2a4).2","f3+m11"],
["3^2.3^4.3^8.(S5x2S4)","3^2.3^4.3^8.(s5x2s4)","f3+.2m12"],
["3^2.U4(3)","3^2.u4(3)"],
["3^2.U4(3).(2^2)_{133}","3.suz.2m3","3^2.u4(3).(2^2)_{133}"],
["3^2.U4(3).2_3'","3.suzm2","3.suzn3c","3^2.u4(3).2_3'"],
["3^2.U4(3).D8","3^2.u4(3).d8","co1m10"],
["3^2:2","3^2:2"],
["3^2:2A4","3^2:2a4","3d4(2)m8","a9m8","u3(5).3m4","u3(8)m3"],
["3^2:2A4x3","3^2:2a4x3","3d4(2).3m9"],
["3^2:4","3^2:4","a6m3","a6n3","a7n3"],
["3^2:8","2.a6m3","2.a6n3","2.a7n3","3^2:8"],
["3^2:Q8","3^2:q8","a6.2_3m2","l3(4)m9","l3(4)n3","l3(7)m7","m22n3",
"u3(11)m11","u3(5)n3"],
["3^2:Q8.2","3^2:q8.2","3^2:sd16","m11m3","m11n3","m22.2n3","m23n3"],
["3^3.(3x3^(1+2)+):2^2","3.g2(3)n3","3^3.(3x3^(1+2)+):2^2"],
["3^3.3^(1+2):8","3.j3m7","3.j3n3","3^3.3^(1+2):8"],
["3^3.3^(1+2):8.2","3.j3.2m6","3.j3.2n3","3^3.3^(1+2):8.2"],
["3^3.S4","3^3.s4","a9m7"],
["3^3.[3^10].(L3(3)x2^2)","3^3.[3^10].(l3(3)x2^2)","f3+.2m11"],
["3^3.[3^10].GL3(3)","3^3.[3^10].gl3(3)","f3+m10"],
["3^3:(S3x2)","3^3:(s3x2)","s6(2)n3"],
["3^3:13","3^3:13","l2(27)m1"],
["3^3:A4","3^3:a4"],
["3^3:L3(3)","3^3:l3(3)","l4(3)m1","l4(3)m2"],
["3^3:S3","3^3:s3","u4(2)n3"],
["3^3:S4`","3^3:s4`","u4(2)m4"],
["3^4.(3xSL(2,3)).2","3^4.(3xsl(2,3)).2"],
["3^4.2U4(2)","3^4.2u4(2)"],
["3^4.2U4(2).2","3^4.2u4(2).2"],
["3^4.3^2.Q8","3^4.3^2.q8"],
["3^4.3^2:4","3^4.3^2:4","u4(3)n3"],
["3^4.A6.D8","3^4.a6.d8","u4(3).d8m4"],
["3^4:(2xA5)","3^4:(2xa5)"],
["3^4:(2xA6)","3^4:(2xa6)","u4(3).2_1m2"],
["3^4:(3^2:Q8)","3^4:(3^2:q8)","mcln3"],
["3^4:(M10x2)","3^4:(m10x2)","mcl.2m5","u4(3).(2^2)_{133}m4"],
["3^4:2(A4xA4).2","3^4:2(a4xa4).2","l4(3)m5"],
["3^4:2(A4xA4).4","3^4:2(a4xa4).4","hnm13"],
["3^4:2(S4xS4).2","3^4:2(s4xs4).2","hn.2m12"],
["3^4:2.A6","3^4:2.a6"],
["3^4:2^(1+4).(5:4)","3^4:2^(1+4).(5:4)","on.2m5","on.2n3"],
["3^4:2^(1+4)D10","3^4:2^(1+4)d10","onm6","onn3"],
["3^4:2^3.S4","3^4:2^3.s4","a12m11"],
["3^4:2^3.S4(a)","3^4:2^3.s4(a)","o8+(2)m14"],
["3^4:3^2:D8","3^4:3^2:d8","u6(2)n3"],
["3^4:40","3^4:40","l2(81)m1","l2(81)n3"],
["3^4:A6","3^4.a6","3^4:a6","u4(3)m1"],
["3^4:GL2(9)","3^4:gl2(9)","agl(2,9)","l3(9)m1","l3(9)m2"],
["3^4:S5","3^4:s5","u5(2)m4"],
["3^4:S6","3^4:s6"],
["3^4:m10","3^4:m10","mclm6","u4(3).2_3m2"],
["3^5.3^(1+2).2.S4","3^5.3^(1+2).2.s4"],
["3^5.3^3.(2xS4)","3^5.3^3.(2xs4)"],
["3^5.U4(2)","3^5.u4(2)"],
["3^5:(2xU4(2).2)","3^5:(2xu4(2).2)","fi22.2m10"],
["3^5:(2xm11)","3^5:(2xm11)","co3m5"],
["3^5:(3^2:SD16)","3^5:(3^2:sd16)","suzn3"],
["3^5:(M10x2)","3.mcl.2m5","3^5:(m10x2)"],
["3^5:(M11x2)","3^5:(m11x2)","suz.2m6"],
["3^5:2S6","3^5:2s6","thm8","thn3c"],
["3^5:M10","3.3^4:m10","3.mclm6","3^5:m10"],
["3^5:M11","3^5:m11","lyu1","suzm5"],
["3^5:U4(2)","3^5:u4(2)"],
["3^5:U4(2):2","3^5:u4(2):2","o7(3)m2"],
["3^6.L4(3).D8","3^6.l4(3).d8"],
["3^6.M11","3.suzm5","3^6.m11","3^6:m11"],
["3^6:(L4(3)x2)","3^6:(l4(3)x2)","o8+(3).2_1m4"],
["3^6:(M11x2)","3.suz.2m6","3^6:(m11x2)"],
["3^6:2M12","3^6:2.m12","3^6:2m12","co1m11"],
["3^6:2U4(3).2_1","3^6:2u4(3).2_1","o8-(3)m1"],
["3^6:L3(3)","3^6:l3(3)","s6(3)m2"],
["3^6:L4(3)","3^6.l4(3)","3^6:l4(3)","o8+(3)m7"],
["3^6:L4(3):2_2","3^6:l4(3):2_2","o8+(3).2_2m4"],
["3^7.O7(3)","3^7.o7(3)","f3+m5"],
["3^7.O7(3):2","3^7.o7(3):2","f3+.2m6"],
["3^7:O7(3)","3^7:o7(3)"],
["3^8.O8-(3).2_3","3^8.o8-(3).2_3","mm11"],
["3_1.U4(3)","3_1.u4(3)"],
["3_1.U4(3).(2^2)_{122}","3_1.u4(3).(2^2)_{122}"],
["3_1.U4(3).2_1","3_1.u4(3).2_1"],
["3_1.U4(3).2_2","3.u6(2)m4","3_1.u4(3).2_2"],
["3_1.U4(3).2_2'","3_1.u4(3).2_2'"],
["3_2.U4(3)","3.mclm1","3_2.u4(3)"],
["3_2.U4(3).(2^2)_{133}","3_2.u4(3).(2^2)_{133}","suz.2m3","suz.2n3a"],
["3_2.U4(3).2_1","3_2.u4(3).2_1"],
["3_2.U4(3).2_3","3_2.u4(3).2_3"],
["3_2.U4(3).2_3'","3.mcl.2m2","3.u4(3):2","3_2.u4(3).2_3'","suzm2","suzn3a"
],
["3x(2.A5xD10).2","3x(2.a5xd10).2"],
["3x(2^2xU4(2)):2","3.o7(3)m12","3x(2^2xu4(2)):2"],
["3x(2x13).6","3x(2x13).6","6.suzn13"],
["3x(2x2^(1+8)):U4(2):2","3.fi22m7","3x(2x2^(1+8)):u4(2):2"],
["3x(2x2^(1+8)_+).2.2^4.(S3xS3)","3x(2x2^(1+8)_+).2.2^4.(s3xs3)"],
["3x(2xL3(3)).2","3x(2xl3(3)).2","6.suzm14","6.suzm15"],
["3x(3xA6):2_2","3.j3m6","3x(3xa6):2_2","ndg(3.j3,3^2)"],
["3x(4^2x2).2^3.S3","3x(4^2x2).2^3.s3"],
["3x(4x2^2).2^4.S3","3x(4x2^2).2^4.s3"],
["3x(A4x11:5).2","3.f3+n11","3x(a4x11:5).2"],
["3x(A4x7:3):2","3.suzn7","3x(a4x7:3):2"],
["3x(A5xD10).2","3x(a5xd10).2"],
["3x(D10xA9).2","3x(d10xa9).2"],
["3x(SL(2,3)x7:3).2","3x(sl(2,3)x7:3).2","6.suzn7"],
["3x11:10","3.onn11","3.suzn11","3x11:10"],
["3x11:20","3x11:20","6.suzn11"],
["3x11:5","3.m22n11","3.mcln11","3x11:5"],
["3x13:6","3.fi22n13","3.g2(3)n13","3.suzn13","3x13:6"],
["3x17:16","3.f3+n17","3x17:16"],
["3x17:8","3.j3n17","3x17:8"],
["3x19:3","3.l3(7)m8","3x19:3"],
["3x19:6","3.onn19","3x19:6"],
["3x19:9","3.j3n19","3x19:9"],
["3x2(A4xA4).2^2","3x2(a4xa4).2^2"],
["3x2.(2^2xU4(2)).2","3x2.(2^2xu4(2)).2","6.o7(3)m12"],
["3x2.(2xL2(11))","12.m22m8","3x2.(2xl2(11))"],
["3x2.(S6xS4)","3x2.(s6xs4)","6.o7(3)m14"],
["3x2.2^(1+8)_+:U4(2)","3x2.2^(1+8)_+:u4(2)","6.u6(2)m2"],
["3x2.2^(4+8):(S3xA5)","3x2.2^(4+8):(s3xa5)","6.u6(2)m7"],
["3x2.A5","3x2.a5","6.a6m1"],
["3x2.A8","3.mclm8","3x2.a8"],
["3x2.D10","3x2.d10","6.a6n5"],
["3x2.F4(2)","3x2.f4(2)","6.2e6(2)m4"],
["3x2.Fi22.2","3x2.fi22.2"],
["3x2.Fi22N2","3x2.fi22n2","6.fi22n2"],
["3x2.G2(4)","3x2.g2(4)","6.suzm1"],
["3x2.J2.2","3x2.j2.2","6.suzm6"],
["3x2.J2.2N5","3x2.j2.2n5","6.suzn5"],
["3x2.L2(25)","3x2.l2(25)","6.suzm16"],
["3x2.L3(2)","3x2.l3(2)","6.a7m2","6.a7m3"],
["3x2.L4(3).2_2","3x2.l4(3).2_2","6.o7(3)m3"],
["3x2.M22M5","3x2.m22m5","6.m22m5"],
["3x2.M22N2","3x2.m22n2","6.m22n2"],
["3x2.S6(2)","3x2.s6(2)","6.o7(3)m7"],
["3x2.SuzM4","3x2.suzm4","6.suzm4"],
["3x2.SuzM7","3x2.suzm7","6.suzm7"],
["3x2.SuzM9","3x2.suzm9","6.suzm9"],
["3x2.SuzN2","3x2.suzn2","6.suzn2"],
["3x2.Symm(4)","3x2.symm(4)","6.a6m4"],
["3x2.U4(3).(2^2)_{122}","3x2.u4(3).(2^2)_{122}"],
["3x23:11","3.f3+n23","3x23:11"],
["3x29:14","3.f3+n29","3x29:14"],
["3x2F4(2)'","3.fi22m9","3x2f4(2)'"],
["3x2S5","3.u3(5)m8","3x2s5","u3(5).3m3"],
["3x2^(1+4)_-:A5","3.j3m8","3x2^(1+4)_-:a5"],
["3x2^(1+6)_-.2^4.A5","3x2^(1+6)_-.2^4.a5"],
["3x2^(1+6)_-.U4(2)","3.suzm4","3x2^(1+6)_-.u4(2)"],
["3x2^(1+8)_+:U4(2)","3.u6(2)m2","3x2^(1+8)_+:u4(2)"],
["3x2^(2+4):(3xS3)","3.j3m9","3x2^(2+4):(3xs3)"],
["3x2^(2+8).2^2.(3xS3)","3x2^(2+8).2^2.(3xs3)"],
["3x2^(2+8):(A5xS3)","3.suzm9","3x2^(2+8):(a5xs3)"],
["3x2^(4+6).2^2.(3xS3)","3x2^(4+6).2^2.(3xs3)"],
["3x2^(4+6).3A6","3.suzm7","3x2^(4+6).3a6"],
["3x2^(4+8):(S3xA5)","3.u6(2)m7","3x2^(4+8):(s3xa5)"],
["3x2^(5+8):(2xS4)","3x2^(5+8):(2xs4)"],
["3x2^(5+8):(S3xD8)","3x2^(5+8):(s3xd8)"],
["3x2^(5+8):(S3xS4)","3x2^(5+8):(s3xs4)"],
["3x2^10.2^2.2^2.S4","3x2^10.2^2.2^2.s4"],
["3x2^10.2^3.L3(2)","3x2^10.2^3.l3(2)"],
["3x2^10.2^3.S4","3x2^10.2^3.s4"],
["3x2^10.2^4.S5","3x2^10.2^4.s5"],
["3x2^2.2^(1+8)_+:U4(2)","(2^2x3).u6(2)m2","3x2^2.2^(1+8)_+:u4(2)"],
["3x2^2.2^(4+8):(S3xA5)","(2^2x3).u6(2)m7","3x2^2.2^(4+8):(s3xa5)"],
["3x2^3.L3(2)","3.g2(3)m8","3x2^3.l3(2)"],
["3x2^3.S4v1","3x2^3.s4v1"],
["3x2^3:L3(2)","3.m22m6","3x2^3:l3(2)"],
["3x2^4:(3xA5)","3.j3m4","3x2^4:(3xa5)"],
["3x2^4:A5","3.l3(4)m1","3.l3(4)m2","3x2^4:a5"],
["3x2^4:s5","3.m22m5","3x2^4:s5"],
["3x2^5.A5","3x2^5.a5","6.l3(4)m1"],
["3x2^6.2^5.S6","3x2^6.2^5.s6"],
["3x2^6:S6(2)","3.fi22m6","3x2^6:s6(2)"],
["3x31:15","3.onn31","3x31:15"],
["3x4.M22M5","12.m22m5","3x4.m22m5"],
["3x4.M22M6","12.m22m6","3x4.m22m6"],
["3x4.M22N2","12.m22n2","3x4.m22n2"],
["3x4^2:D12","3x4^2:d12"],
["3x4^3.L3(2)","3.onm9","3x4^3.l3(2)"],
["3x4_1.2^4:A5","12_1.l3(4)m1","3x4_1.2^4:a5"],
["3x4_2.2^4:A5","12_2.l3(4)m1","3x4_2.2^4:a5"],
["3x5:4xS5","3x5:4xs5"],
["3x5:8","3x5:8","6.a7n5"],
["3x5^(1+2):3:8","3.mclm12","3.mcln5","3x5^(1+2):3:8","3xmcln5"],
["3x5^(1+2)_+:8","3.u3(5)m4","3x5^(1+2)_+:8"],
["3x5^2:(4xS3)","3.suzn5","3x5^2:(4xs3)"],
["3x7:6","3.g2(3)n7","3x7:6"],
["3x7^(1+2):(D8x3)","3.onn7","3x7^(1+2):(d8x3)","3xonn7"],
["3x7^2:2.L2(7).2","3.l3(7)m1","3x7^2:2.l2(7).2"],
["3xA10.2","3.fi22m12","3.fi22m13","3xa10.2"],
["3xA5","3.a6m1","3xa5"],
["3xA5.2","3.a7m4","3xa5.2","3xs5"],
["3xD10","3.a6n5","3xd10"],
["3xD6xD10","3.j3n5","3xd6xd10"],
["3xD8","3.a6n2","3.a7n2","3xd8"],
["3xF3+N7","3.f3+n7","3xf3+n7"],
["3xF4(2)","3.2e6(2)m3","3xf4(2)"],
["3xFi22N2","3.fi22n2","3xfi22n2"],
["3xFi22N5","3.fi22n5","3xfi22n5"],
["3xFi23","3.f3+m1","3xfi23"],
["3xG2(4)","3.suzm1","3xg2(4)"],
["3xIsoclinic(2.A5.2)","3xisoclinic(2.a5.2)","6.a7m4"],
["3xIsoclinic(2.A9.2)","3xisoclinic(2.a9.2)","6.o7(3)m10"],
["3xIsoclinic(2.M12.2)","3xisoclinic(2.m12.2)","6.suzm10"],
["3xIsoclinic(2x5:8)","12.m22n5","3xisoclinic(2x5:8)"],
["3xJ1","3.onm3","3xj1"],
["3xJ2.2","3.suzm6","3xj2.2"],
["3xJ3N2","3.j3n2","3xj3n2"],
["3xL2(11)","3.m22m8","3xl2(11)"],
["3xL2(13)","3.g2(3)m9","3xl2(13)"],
["3xL2(16).2","3.j3m1","3xl2(16).2"],
["3xL2(17)","3.j3m5","3xl2(17)"],
["3xL2(19)","3.j3m2","3.j3m3","3xl2(19)"],
["3xL2(25)","3.suzm16","3xl2(25)"],
["3xL2(31)","3.onm7","3xl2(31)"],
["3xL2(8)","3xl2(8)","u3(8)m2"],
["3xL2(8).3","3.g2(3)m7","3xl2(8).3"],
["3xL3(2)","3.a7m2","3.a7m3","3.l3(4)m6","3xl3(2)"],
["3xL3(2).2","3.l3(7)m3","3xl3(2).2"],
["3xL3(3).2","3.g2(3)m5","3.suzm14","3.suzm15","3xl3(3).2"],
["3xL3(4).2_2","3.mclm7","3xl3(4).2_2"],
["3xL3(7).2","3.onm1","3xl3(7).2"],
["3xL4(3).2_2","3.o7(3)m3","3xl4(3).2_2"],
["3xM11","3.mclm11","3.onm10","3xm11"],
["3xM12","3.fi22m14","3xm12"],
["3xM12.2","3.suzm10","3xm12.2"],
["3xM12N2","3.g2(3)n2","3xm12n2"],
["3xM22C2A","3xm22c2a"],
["3xMcLN2","3.m22n2","3.mcln2","3xmcln2"],
["3xNRS(M22,[2^6])","3xnrs(m22,[2^6])"],
["3xO8+(2)","3xo8+(2)"],
["3xO8+(2):S3","3.fi22m4","3xo8+(2):s3"],
["3xONM11","3.onm11","3xonm11"],
["3xONM2","3.onm2","3xonm2"],
["3xONM8","3.onm8","3xonm8"],
["3xONN2","3.onn2","3xonn2"],
["3xS3x7:6","3.fi22n7","3xs3x7:6"],
["3xS3xU4(2)","3.u6(2)m14","3xs3xu4(2)"],
["3xS6(2)","3.o7(3)m7","3.u6(2)m8","3xs6(2)"],
["3xS6xS4","3.o7(3)m14","3xs6xs4"],
["3xS9","3.o7(3)m10","3xs9"],
["3xSuzN2","3.suzn2","3xsuzn2"],
["3xSymm(4)","3.a6m4","3xsymm(4)"],
["3xU3(3).2","3.g2(3)m1","3d4(2).3m4","3xu3(3).2"],
["3xU4(2)","3xu4(2)","u5(2)m2"],
["3xU5(2)","3.suzm3","3.u6(2)m1","3xu5(2)"],
["4(A4xA4).4","4(a4xa4).4","u4(3).2_1m11"],
["4.2^2","4.2^2"],
["4.2^4","4.2^4"],
["4.2^4.S5","4.2^4.s5","g","hsc2a","hsm10"],
["4.2^4:(2xS3)","4.2^4:(2xs3)"],
["4.2^4:S4","4.2^4:s4"],
["4.3^(1+4)_+.2S4","4.3^(1+4)_+.2s4","4.u4(3)m6"],
["4.A6.2_3","4.a6.2_3"],
["4.HS.2","4.hs.2","hn.2c2a","hn.2m3","hn.2n2a","hn.2n4d"],
["4.L2(25).2_3","4.l2(25).2_3"],
["4.L2(49).2_3","4.l2(49).2_3"],
["4.L2(81).2_3","4.l2(81).2_3"],
["4.L2(81).4_2","4.l2(81).4_2"],
["4.L4(5)","4.l4(5)"],
["4.M22","4.m22"],
["4.M22.2","4.m22.2"],
["4.M22M2","4.m22m2"],
["4.M22M5","4.m22m5"],
["4.M22M6","4.m22m6"],
["4.M22N2","4.m22n2"],
["4.U4(3)","4.u4(3)"],
["4.U4(3).2_1","4.u4(3).2_1"],
["4.U4(3).2_2","2.o7(3)m1","4.u4(3).2_2"],
["4.U4(3).2_3","4.u4(3).2_3"],
["4.U4(3).4","4.u4(3).4","u5(3)m2"],
["4.s4","4.s4","u3(3)m3"],
["41:4","41:4","sz(32)m2"],
["41:40","41:40","agl(1,41)","mm46","mn41"],
["43:14","43:14","j4m12","j4n43"],
["43:3","43:3","u3(7)m5"],
["47:23","47:23","bm30"],
["4^2.L3(4)","4^2.l3(4)"],
["4^2:3","4^2:3"],
["4^2:D12","2^2+3.s3","4^2:d12","m12m10","u3(3).2m5"],
["4^2:D12.2","4^2:d12.2","m12.2m6"],
["4^2:s3","4^2:s3","l3(5)m4","u3(3)m4"],
["4^3.(L3(2)x2)","4^3.(l3(2)x2)","on.2m6"],
["4^3.D8","4^3.d8","onn2"],
["4^3.L3(2)","4^3.l3(2)","onm9"],
["4^3:(L3(2)x2)","4^3:(l3(2)x2)","hs.2m6"],
["4^3:S4","4^3:s4"],
["4^3:psl(3,2)","2^3+3:psl(3,2)","4^3:psl(3,2)","hsm7"],
["4_1.2^4:A5","4_1.2^4:a5","4_1.l3(4)m1"],
["4_1.L3(4)","4.m22m1","4_1.l3(4)"],
["4_1.L3(4).(2^2)_{1*2*3*}","4_1.l3(4).(2^2)_{1*2*3*}"],
["4_1.L3(4).(2^2)_{1*2*3}","4_1.l3(4).(2^2)_{1*2*3}"],
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["A7x3","a7x3"],
["A7xS3","a7xs3"],
["A8","a8","a8.2m1","a9m1","l4(2)","m23m4","rum8","sl42"],
["A8.2","a10m2","a8.2","a9.2m2","hsm5","s6(2)m2","s8"],
["A8.2N2","a8.2n2","a8.2syl2"],
["A8x3","a8x3"],
["A8xS3","a8xs3"],
["A9","a10m1","a9","a9.2m1","o8+(2)m7"],
["A9.2","a10.2m2","a11m2","a9.2","o7(3)m10","s9"],
["A9M5","a9m5"],
["A9x3","a9x3"],
["A9xS3","a9xs3","co1m16"],
["B","b","bm","f2+"],
["BN7","bn7"],
["C2","c2"],
["C3","c3"],
["C4","c4"],
["C6","c6"],
["C9Y3.3^5.U4(2)","c9y3.3^5.u4(2)","mc9a"],
["Co1","co1","f2-"],
["Co1N3","co1n3"],
["Co1N5","co1n5"],
["Co2","co1m1","co2"],
["Co2N2","co2n2"],
["Co2N7","co2n7"],
["Co3","co1m4","co3"],
["Co3N2","2.s6(2)n2","co3n2"],
["Co3N3","3^(1+4):4.3^2:d8","co3n3"],
["D10","a5m2","a5n5","a6n5","d10","l3(4)n5"],
["D108","27:2^2","d108","l2(109)m3"],
["D10xA5","d10xa5"],
["D110","d110","l2(109)m2"],
["D112","28.2^2","d112","l2(113)m3"],
["D114","d114","l2(113)m2"],
["D120","d120","l2(121)m5"],
["D122","d122","l2(121)m4"],
["D126","d126","l2(125)m2"],
["D14","d14","l2(13)m2","l2(8)m3","sz(8)m4","sz(8)n7"],
["D16","d16","l2(17)m5","l3(2).2m3"],
["D18","d18","l2(17)m4","l2(19)m5","l2(8)m2"],
["D20","d20","l2(11).2m5","l2(19)m4"],
["D22","d22","l2(23)m5"],
["D24","d24","l2(11).2m4","l2(23)m4","l2(25)m5"],
["D26","d26","l2(25)m4","l2(27)m3"],
["D28","2.sz(8)m4","2.sz(8)n7","d28","l2(27)m2","l2(29)m5"],
["D30","d30","l2(29)m4","l2(31)m5"],
["D32","d32","l2(31)m4"],
["D62","d62","l2(32)m3","sz(32)m4"],
["D62x2","d124","d62x2","l2(125)m3"],
["D6xD10","d6xd10","j1m6","j1n3","j1n5","j3n5","l2(16).2m5","l2(16).2n5",
"s3xd10"],
["D8","a6n2","a7n2","d8","l3(2)n2"],
["D8x2","d8x2"],
["D8x2F4(2)'.2","d8x2f4(2)'.2","ndg(b,d8)"],
["D8x3^(1+2)_+:Q8","d8x3^(1+2)_+:q8"],
["D8x3^2:Q8","d8x3^2:q8"],
["D8xL3(2)","2^2.l3(4).2_2m5","d8xl3(2)"],
["D8xL4(3).2_2","d8xl4(3).2_2","o8-(3).2_1m7"],
["D8xS3","d8xs3"],
["D8xS6(2)","d8xs6(2)","ndg(fi23,d8)"],
["D8xU3(3).2","d8xu3(3).2"],
["D8xV4","d8xv4"],
["E6(2)","e6(2)"],
["F3+","f24c","f3+","f3+.2m1","fi24'"],
["F3+.2","f24","f3+.2","fi24","fi24'.2"],
["F3+M14","f3+m14"],
["F3+M7","f3+m7"],
["F3+N5","f3+n5"],
["F4(2)","2e6(2)m3","f4(2)","f4(2).2m1","f4f2"],
["F4(2).2","f4(2).2"],
["F4(2).2M8","f4(2).2m8","f4(2).2n3b"],
["F4(2)M10","f4(2)m10"],
["F4(2)M13","f4(2)m13","f4(2)n3c"],
["F4(2)M2","f4(2)m2"],
["F4(2)M4","f4(2)m4"],
["F4(2)M6","f4(2)m6"],
["F4(2)M8","f4(2)m8"],
["F4(2)N7B","f4(2)n7b"],
["F4(3)","f4(3)"],
["Fi22","2e6(2)m7","f22","fi22","fi22.2m1"],
["Fi22.2","2e6(2).2m6","f22.2","fi22.2"],
["Fi22.2M4","fi22.2m4"],
["Fi22M3","fi22m3"],
["Fi22N3","f22n3","fi22n3","o7(3)n3"],
["Fi22N5","2f4(2)'.2m5","2f4(2)'.2n5","f22n5","f4(2)n5","fi22n5","he.2m12",
"he.2n5","o8+(2).3.2n5"],
["Fi23","bm3","f23","f3+m1","fi23"],
["Fi23M8","fi23m8"],
["Fi23N3","bn3","fi23n3"],
["G2(3)","g2(3)","g2(3).2m1","g2f3","o7(3)m4"],
["G2(3).2","fi22.2m12","g2(3).2","g2f3b"],
["G2(3).2N2","g2(3).2n2"],
["G2(3)M2","g2(3)m2"],
["G2(3)M4","g2(3)m4"],
["G2(3)M6","g2(3)m6"],
["G2(4)","g2(4)","g2(4).2m1","g2f4","suzm1"],
["G2(4).2","g2(4).2","g2f4b","suz.2m2"],
["G2(4)N2","g2(4)n2"],
["G2(5)","g2(5)","g2f5","lym1"],
["G2(7)","g2(7)"],
["HN","f5+","ha","hn","hn.2m1"],
["HN.2","bm11","f5+.2","ha.2","hn.2"],
["HN.2M13","hn.2m13"],
["HN.2N3","hn.2n3"],
["HNM12","hnm12"],
["HNN2","hnn2"],
["HNN3","hnn3"],
["HNN5","hnn5"],
["HS","co3m2","hs","hs.2m1"],
["HS.2","co2m5","hs.2","hs:2"],
["HS.2N5","hs.2m9","hs.2n5"],
["HS.2x2","hs.2x2"],
["HSM3","hsm3"],
["HSM9","hsm9"],
["HSN2","hsn2"],
["He","he","he.2m1"],
["He.2","f3+m13","he.2"],
["Isoclinic((3^2x2).U4(3).2_3')","6.suzm2","isoclinic((3^2x2).u4(3).2_3')"],
["Isoclinic(12.M22.2)","isoclinic(12.m22.2)"],
["Isoclinic(12_1.L3(4).2_1)","isoclinic(12_1.l3(4).2_1)"],
["Isoclinic(12_1.L3(4).2_2)","isoclinic(12_1.l3(4).2_2)"],
["Isoclinic(12_1.U4(3).2_2')","isoclinic(12_1.u4(3).2_2')"],
["Isoclinic(12_1.U4(3).2_2)","isoclinic(12_1.u4(3).2_2)"],
["Isoclinic(12_2.L3(4).2_1)","isoclinic(12_2.l3(4).2_1)"],
["Isoclinic(12_2.L3(4).2_3)","isoclinic(12_2.l3(4).2_3)"],
["Isoclinic(12_2.U4(3).2_3')","isoclinic(12_2.u4(3).2_3')"],
["Isoclinic(12_2.U4(3).2_3)","isoclinic(12_2.u4(3).2_3)"],
["Isoclinic(2.A10.2)","2.a12m2","isoclinic(2.a10.2)"],
["Isoclinic(2.A11.2)","isoclinic(2.a11.2)"],
["Isoclinic(2.A12.2)","isoclinic(2.a12.2)"],
["Isoclinic(2.A13.2)","isoclinic(2.a13.2)"],
["Isoclinic(2.A14.2)","isoclinic(2.a14.2)"],
["Isoclinic(2.A5.2)","2.a7m4","2.l2(25)m2","isoclinic(2.a5.2)"],
["Isoclinic(2.A6.2_2)","isoclinic(2.a6.2_2)"],
["Isoclinic(2.A6x2)","isoclinic(2.a6x2)"],
["Isoclinic(2.A7.2)","2.a9m2","isoclinic(2.a7.2)"],
["Isoclinic(2.A8.2)","2.a10m2","2.s6(2)m2","isoclinic(2.a8.2)","mcl.2c2a",
"mcl.2m7","mcl.2n2a"],
["Isoclinic(2.A9.2)","2.a11m2","2.o7(3)m10","isoclinic(2.a9.2)"],
["Isoclinic(2.F4(2).2)","isoclinic(2.f4(2).2)"],
["Isoclinic(2.Fi22.2)","isoclinic(2.fi22.2)"],
["Isoclinic(2.G2(4).2)","2.suz.2m2","isoclinic(2.g2(4).2)"],
["Isoclinic(2.HS.2)","isoclinic(2.hs.2)"],
["Isoclinic(2.HSx2)","isoclinic(2.hsx2)"],
["Isoclinic(2.J2.2)","isoclinic(2.j2.2)"],
["Isoclinic(2.L2(11).2)","isoclinic(2.l2(11).2)"],
["Isoclinic(2.L2(13).2)","isoclinic(2.l2(13).2)"],
["Isoclinic(2.L2(17).2)","isoclinic(2.l2(17).2)"],
["Isoclinic(2.L2(19).2)","isoclinic(2.l2(19).2)"],
["Isoclinic(2.L2(23).2)","isoclinic(2.l2(23).2)"],
["Isoclinic(2.L2(25).2_1)","isoclinic(2.l2(25).2_1)"],
["Isoclinic(2.L2(25)x2)","isoclinic(2.l2(25)x2)"],
["Isoclinic(2.L2(27).2)","isoclinic(2.l2(27).2)"],
["Isoclinic(2.L2(27).6)","isoclinic(2.l2(27).6)"],
["Isoclinic(2.L2(29).2)","isoclinic(2.l2(29).2)"],
["Isoclinic(2.L2(31).2)","isoclinic(2.l2(31).2)"],
["Isoclinic(2.L2(49).2_1)","isoclinic(2.l2(49).2_1)"],
["Isoclinic(2.L2(49)x2)","isoclinic(2.l2(49)x2)"],
["Isoclinic(2.L2(81).2_2)","isoclinic(2.l2(81).2_2)"],
["Isoclinic(2.L2(81)x2)","isoclinic(2.l2(81)x2)"],
["Isoclinic(2.L3(2).2)","isoclinic(2.l2(7).2)","isoclinic(2.l3(2).2)"],
["Isoclinic(2.L3(4).2_1)","2.hsm4","2.l3(4).2_1*","isoclinic(2.l3(4).2_1)"],
["Isoclinic(2.L3(4).2_2)","2.l3(4).2_2*","isoclinic(2.l3(4).2_2)"],
["Isoclinic(2.L3(4).2_3)","2.l3(4).2_3*","isoclinic(2.l3(4).2_3)"],
["Isoclinic(2.L4(3).2_1)","isoclinic(2.l4(3).2_1)"],
["Isoclinic(2.L4(3).2_2)","isoclinic(2.l4(3).2_2)"],
["Isoclinic(2.L4(3).2_3)","isoclinic(2.l4(3).2_3)"],
["Isoclinic(2.M12.2)","2.suzm10","isoclinic(2.m12.2)"],
["Isoclinic(2.M22.2)","isoclinic(2.m22.2)"],
["Isoclinic(2.O7(3).2)","isoclinic(2.o7(3).2)"],
["Isoclinic(2.O8+(2).2)","isoclinic(2.o8+(2).2)"],
["Isoclinic(2.S4(5).2)","isoclinic(2.s4(5).2)"],
["Isoclinic(2.S6(3).2)","isoclinic(2.s6(3).2)"],
["Isoclinic(2.Suz.2)","isoclinic(2.suz.2)"],
["Isoclinic(2.U4(2).2)","isoclinic(2.u4(2).2)"],
["Isoclinic(2.U4(3).2_1)","2.u4(3).2_1*","isoclinic(2.u4(3).2_1)"],
["Isoclinic(2.U4(3).2_2')","2.u4(3).2_2'*","isoclinic(2.u4(3).2_2')"],
["Isoclinic(2.U4(3).2_2)","2.u4(3).2_2*","isoclinic(2.u4(3).2_2)"],
["Isoclinic(2.U4(3).2_3')","2.u4(3).2_3'*","isoclinic(2.u4(3).2_3')"],
["Isoclinic(2.U4(3).2_3)","2.u4(3).2_3*","isoclinic(2.u4(3).2_3)"],
["Isoclinic(2.U6(2).2)","isoclinic(2.u6(2).2)"],
["Isoclinic(2x(2.A4x3).2)","isoclinic(2x(2.a4x3).2)"],
["Isoclinic(2x2.F4(2).2)","isoclinic(2x2.f4(2).2)"],
["Isoclinic(2x3^(1+2)_+:Q8)","6.l3(4)m9","6.m22n3",
"isoclinic(2x3^(1+2)_+:q8)"],
["Isoclinic(2x3^2:Q8)","2.l3(4)m9","2.m22n3","isoclinic(2x3^2:q8)"],
["Isoclinic(2x5:8)","4.m22n5","isoclinic(2x5:8)"],
["Isoclinic(2xU3(3).2)","2.g2(4)m6","2.j2.2m2","isoclinic(2xu3(3).2)"],
["Isoclinic(2xU3(4).2)","2.g2(4)m4","isoclinic(2xu3(4).2)"],
["Isoclinic(3.A6.2_3x2)","isoclinic(3.a6.2_3x2)"],
["Isoclinic(3.L3(4).3,1)","isoclinic(3.l3(4).3,1)"],
["Isoclinic(3.L3(4).3,2)","isoclinic(3.l3(4).3,2)"],
["Isoclinic(3.L3(4).6,1)","isoclinic(3.l3(4).6,1)"],
["Isoclinic(3.L3(4).6,2)","isoclinic(3.l3(4).6,2)"],
["Isoclinic(3.L3(7).3,1)","isoclinic(3.l3(7).3,1)"],
["Isoclinic(3.L3(7).3,2)","isoclinic(3.l3(7).3,2)"],
["Isoclinic(3.U3(11).3,1)","isoclinic(3.u3(11).3,1)"],
["Isoclinic(3.U3(11).3,2)","isoclinic(3.u3(11).3,2)"],
["Isoclinic(3.U3(5).3,1)","isoclinic(3.u3(5).3,1)"],
["Isoclinic(3.U3(5).3,2)","isoclinic(3.u3(5).3,2)"],
["Isoclinic(3.U3(8).3_2,1)","isoclinic(3.u3(8).3_2,1)"],
["Isoclinic(3.U3(8).3_2,2)","isoclinic(3.u3(8).3_2,2)"],
["Isoclinic(3.U3(8)x3)","isoclinic(3.u3(8)x3)"],
["Isoclinic(3.U6(2).3,1)","isoclinic(3.u6(2).3,1)"],
["Isoclinic(3.U6(2).3,2)","isoclinic(3.u6(2).3,2)"],
["Isoclinic(4.M22.2)","isoclinic(4.m22.2)"],
["Isoclinic(4.U4(3).2_2)","isoclinic(4.u4(3).2_2)"],
["Isoclinic(4.U4(3).2_3)","isoclinic(4.u4(3).2_3)"],
["Isoclinic(4_1.L3(4).2_1)","4_1.l3(4).2_1*","isoclinic(4_1.l3(4).2_1)"],
["Isoclinic(4_1.L3(4).2_2)","4_1.l3(4).2_2*","isoclinic(4_1.l3(4).2_2)"],
["Isoclinic(4_2.L3(4).2_1)","4_2.l3(4).2_1*","isoclinic(4_2.l3(4).2_1)"],
["Isoclinic(4_2.L3(4).2_3)","4_2.l3(4).2_3*","isoclinic(4_2.l3(4).2_3)"],
["Isoclinic(4x3^2:Q8)","4.m22n3","isoclinic(4x3^2:q8)"],
["Isoclinic(6.A6.2_2)","isoclinic(6.a6.2_2)"],
["Isoclinic(6.A6x2)","4y6.a6","isoclinic(6.a6x2)"],
["Isoclinic(6.A7.2)","isoclinic(6.a7.2)"],
["Isoclinic(6.Fi22.2)","isoclinic(6.fi22.2)"],
["Isoclinic(6.L3(4).2_1)","6.l3(4).2_1*","isoclinic(6.l3(4).2_1)"],
["Isoclinic(6.L3(4).2_2)","6.l3(4).2_2*","isoclinic(6.l3(4).2_2)"],
["Isoclinic(6.L3(4).2_3)","2.g2(4)m5","6.l3(4).2_3*",
"isoclinic(6.l3(4).2_3)"],
["Isoclinic(6.M22.2)","isoclinic(6.m22.2)"],
["Isoclinic(6.O7(3).2)","isoclinic(6.o7(3).2)"],
["Isoclinic(6.Suz.2)","isoclinic(6.suz.2)"],
["Isoclinic(6.U6(2).2)","isoclinic(6.u6(2).2)"],
["Isoclinic(6_1.U4(3).2_1)","isoclinic(6_1.u4(3).2_1)"],
["Isoclinic(6_1.U4(3).2_2')","isoclinic(6_1.u4(3).2_2')"],
["Isoclinic(6_1.U4(3).2_2)","isoclinic(6_1.u4(3).2_2)"],
["Isoclinic(6_2.U4(3).2_1)","isoclinic(6_2.u4(3).2_1)"],
["Isoclinic(6_2.U4(3).2_3')","2.suzm2","2.suzn3a","6_2.u4(3).2_3'*",
"isoclinic(6_2.u4(3).2_3')"],
["Isoclinic(6_2.U4(3).2_3)","isoclinic(6_2.u4(3).2_3)"],
["Isoclinic(L2(13).2x2)","2.rum13","isoclinic(l2(13).2x2)"],
["Isoclinic(L2(25).2_3x2)","isoclinic(l2(25).2_3x2)"],
["Isoclinic(L2(49).2_3x2)","isoclinic(l2(49).2_3x2)"],
["Isoclinic(L2(81).2_3x2)","isoclinic(l2(81).2_3x2)"],
["Isoclinic(S8x2)","2.hsm5","isoclinic(s8x2)"],
["Isoclinic(U3(5).2x2)","2.hsm2","isoclinic(u3(5).2x2)"],
["Isoclinic(U3(8).3_3x3)","isoclinic(u3(8).3_3x3)"],
["J1","j1","onm3"],
["J1x2","j1x2","on.2m2"],
["J2","f5-","g2(4)m1","hj","j2","j2.2m1"],
["J2.2","f5-.2","g2(4).2m2","hj.2","j2.2","suzm6"],
["J2.2x2","j2.2x2","suz.2m7"],
["J2N2","j2n2"],
["J3","j3","j3.2m1"],
["J3.2","j3.2"],
["J3M3","j3m3"],
["J3N2","j3n2"],
["J4","j4"],
["J4M4","j4m4","n8j4"],
["L2(101)","l2(101)"],
["L2(103)","l2(103)"],
["L2(107)","l2(107)"],
["L2(109)","l2(109)"],
["L2(11)","a1(11)","j1m1","l2(11)","l2(11).2m1","m11m2","m12m5","m22m8",
"o3(11)","psl(2,11)","s2(11)","u2(11)","u5(2)m6"],
["L2(11).2","a12.2m11","bm29","l2(11).2","l2(121)m2","l3(11)m3","m12.2m2",
"m22.2m7","pgl(2,11)","u3(11)m3","u5(2).2m7"],
["L2(113)","l2(113)"],
["L2(121)","l2(121)"],
["L2(121)M3","l2(121)m3"],
["L2(125)","l2(125)"],
["L2(13)","a1(13)","a14m9","g2(3)m9","g2(4)m8","l2(13)","o3(13)","psl(2,13)",
"s2(13)","s6(3)m10","s6(3)m9","u2(13)"],
["L2(13).2","f3+m23","f3+m24","g2(3).2m5","g2(4).2m9","l2(13).2","mm44",
"pgl(2,13)","psl(2,13):2","rum13"],
["L2(16)","l2(16)","l2(16).2m1","psl(2,16)"],
["L2(16).2","j3m1","l2(16).2","o8-(2)m6","psl(2,16):2","s4(4)m3"],
["L2(16).4","j3.2m2","l2(16).4","o8-(2).2m7","s4(4).2m4"],
["L2(17)","a1(17)","j3m5","l2(17)","l2(17).2m1","o3(17)","psl(2,17)",
"s2(17)","s8(2)m11","u2(17)"],
["L2(17).2","bm28","l2(17).2","pgl(2,17)"],
["L2(17)x2","j3.2m4","l2(17)x2"],
["L2(19)","a1(19)","j3m2","l2(19)","l2(19).2m1","o3(19)","psl(2,19)",
"s2(19)","u2(19)"],
["L2(19).2","l2(19).2","mm43","pgl(2,19)","thm12"],
["L2(23)","fi23m14","l2(23)","m24m8","psl(2,23)"],
["L2(23).2","j4m9","l2(23).2","pgl(2,23)"],
["L2(25)","2f4(2)'m4","l2(25)","psl(2,25)","suzm16"],
["L2(25).(2x4)","2.rum7","l2(25).(2x4)"],
["L2(25).2^2","l2(25).2^2","l2(25).v4","psl(2,25).2^2","rum7"],
["L2(25).2_1","l2(25).2_1","pgl(2,25)","psl(2,25).2"],
["L2(25).2_2","l2(25).2_2","s12(2)m16","s4(5)m3","suz.2m15"],
["L2(25).2_3","2f4(2)'.2m3","l2(25).2_3"],
["L2(25)M3","l2(25)m3"],
["L2(27)","l2(27)","psl(2,27)"],
["L2(27).2","l2(27).2","psl(2,27).2"],
["L2(27).3","l2(27).3","psl(2,27).3","s6(3)m6"],
["L2(27).6","l2(27).6"],
["L2(29)","l2(29)","l2(29).2m1","psl(2,29)","rum9"],
["L2(29).2","l2(29).2","mm41","pgl(2,29)"],
["L2(31)","bm25","l2(31)","onm7","psl(2,31)"],
["L2(31).2","l2(31).2","pgl(2,31)"],
["L2(32)","l2(32)","l2(32).5m1"],
["L2(32).5","j4m8","l2(32).5","psl(2,32):5","s10(2)m10"],
["L2(37)","l2(37)"],
["L2(41)","l2(41)","mm40"],
["L2(43)","l2(43)"],
["L2(47)","l2(47)"],
["L2(49)","l2(49)"],
["L2(49).2^2","l2(49).2^2"],
["L2(49).2_1","l2(49).2_1"],
["L2(49).2_2","l2(49).2_2"],
["L2(49).2_3","bm24","l2(49).2_3"],
["L2(53)","l2(53)"],
["L2(59)","l2(59)"],
["L2(61)","l2(61)"],
["L2(64)","l2(64)"],
["L2(64).6","l2(64).6"],
["L2(67)","l2(67)"],
["L2(71)","l2(71)","mm38"],
["L2(73)","l2(73)"],
["L2(79)","l2(79)"],
["L2(8)","2g2(3)'","a1(8)","l2(8)","l2(8).3m1","o3(8)","psl(2,8)","r(3)'",
"s2(8)","u2(8)"],
["L2(8).3","2g2(3)","a9m4","g2(3)m7","l2(8).3","psl(2,8).3","r(27)m3",
"s6(2)m8"],
["L2(8):3x2","2.a9m4","2.s6(2)m8","g2(3).2m3","l2(8):3x2"],
["L2(81)","l2(81)"],
["L2(81).(2x4)","l2(81).(2x4)"],
["L2(81).2^2","l2(81).2^2"],
["L2(81).2_1","l2(81).2_1","o8-(3)m9"],
["L2(81).2_2","l2(81).2_2"],
["L2(81).2_3","l2(81).2_3"],
["L2(81).4_1","l2(81).4_1","o8-(3).2_1m10"],
["L2(81).4_2","l2(81).4_2"],
["L2(83)","l2(83)"],
["L2(89)","l2(89)"],
["L2(97)","l2(97)"],
["L3(11)","l3(11)"],
["L3(2)","a1(7)","a2(2)","a7m2","a7m3","l2(7)","l3(11)m6","l3(2)",
"l3(2).2m1","l3(4)m6","l3(8)m5","m24m9","o3(7)","o8-(2)m8","psl(2,7)",
"s2(7)","u2(7)","u3(3)m2"],
["L3(2).2","a8.2m7","j2m7","l2(7).2","l3(2).2","l3(7)m3","l3(8).2m6",
"o8-(2).2m9","on.2m10","pgl(2,7)","u3(3).2m3","u3(5).2m6","u3(7)m4"],
["L3(2).2x2","j2.2m8","l3(2).2x2"],
["L3(2)wr2","l3(2)wr2","l6(2)m8"],
["L3(2)xS3","hen3b","l3(2)xs3","m24n3b"],
["L3(3)","a13m7","a13m8","bm27","l3(3)","l3(3).2m1","l3(9)m4","psl(3,3)",
"thm13"],
["L3(3).2","2f4(2)'m1","g2(3)m5","l3(3).2","psl(3,3).2","psl(3,3):2",
"s6(3)m8","suzm14","suzm15"],
["L3(3)x2","l3(3)x2"],
["L3(3)xD8","l3(3)xd8"],
["L3(4)","l3(4)","m21","m22m1","psl(3,4)","u4(3)m4","u4(3)m5"],
["L3(4).2^2","hs.2m3","l3(4).2^2","l3(4).d12m4","l3(4).v4","mcl.2m6",
"u4(3).(2^2)_{133}m5"],
["L3(4).2_1","hsm4","l3(4).2_1","psl(3,4).2","u4(3).2_3m4","u6(2)m16"],
["L3(4).2_2","l3(4).2_2","m22.2m2","m23m2","mclm7","psl(3,4):2",
"u4(3).2_1m5","u4(3).2_1m6"],
["L3(4).2_3","l3(4).2_3","u4(3).2_3m3"],
["L3(4).3","l3(4).3"],
["L3(4).3.2_2","l3(4).3.2_2","l3(4).d12m3","m24m6","psl(3,4):s3"],
["L3(4).3.2_3","l3(4).3.2_3","l3(4).d12m1"],
["L3(4).6","l3(4).6","l3(4).d12m2"],
["L3(4).D12","co3m10","l3(4).d12","pls(3,4):d12","psl(3,4):d12"],
["L3(4)M4","l3(4)m4"],
["L3(4)M5","l3(4)m5"],
["L3(4)M7","l3(4)m7"],
["L3(4)M8","l3(4)m8"],
["L3(4)Syl2","l3(4)c2a","l3(4)n2a","l3(4)syl2"],
["L3(5)","l3(5)","l3(5).2m1","psl(3,5)"],
["L3(5).2","g2(5)m4","l3(5).2","psl(3,5).2"],
["L3(7)","l3(7)","l3(7).2m1"],
["L3(7).2","l3(7).2","onm1"],
["L3(7).3","l3(7).3"],
["L3(7).S3","l3(7).3.2","l3(7).s3"],
["L3(7)M2","l3(7)m2"],
["L3(7)M4","l3(7)m4"],
["L3(7)M5","l3(7)m5"],
["L3(8)","l3(8)","l3(8).2m1","l3(8).3m1","psl(3,8)"],
["L3(8).2","l3(8).2"],
["L3(8).3","l3(8).3"],
["L3(8).6","l3(8).6"],
["L3(9)","l3(9)"],
["L3(9).2^2","l3(9).2^2"],
["L3(9).2_1","l3(9).2_1"],
["L3(9).2_2","l3(9).2_2"],
["L3(9).2_3","l3(9).2_3"],
["L4(3)","l4(3)","o6+(3)","psl(4,3)"],
["L4(3).2^2","f4(2).2m5","l4(3).2^2","o6+(3).2^2","psl(4,3).v4"],
["L4(3).2_1","l4(3).2_1","o6+(3).2_1","pgl(4,3)"],
["L4(3).2_2","f4(2)m12","l4(3).2_2","o6+(3).2_2","o6p3b","o7(3)m3"],
["L4(3).2_3","l4(3).2_3","o6+(3).2_3","psl(4,3).2"],
["L4(3)M4","l4(3)m4"],
["L4(3)x2","l4(3)x2"],
["L4(4)","l4(4)","o6+(4)"],
["L4(4).2^2","l4(4).2^2","o6+(4).2^2"],
["L4(4).2_1","l4(4).2_1","o6+(4).2_1"],
["L4(4).2_2","l4(4).2_2","o6+(4).2_2"],
["L4(4).2_3","l4(4).2_3","o6+(4).2_3"],
["L4(5)","l4(5)","o6+(5)"],
["L4(9)","l4(9)","o6+(9)"],
["L5(2)","l5(2)","l5(2).2m1","psl(5,2)"],
["L5(2).2","l5(2).2","psl(5,2).2"],
["L5(3)","l5(3)","sl(5,3)"],
["L5(3).2","l5(3).2","sl(5,3).2"],
["L6(2)","l6(2)","l6f2"],
["L6(2).2","l6(2).2"],
["L7(2)","l7(2)","l7(2).2m1","l7f2"],
["L7(2).2","l7(2).2","l7f2.2"],
["L8(2)","l8(2)"],
["Ly","ly"],
["LyM6","lym6"],
["LyN2","(2.a11)syl2","lyn2","mcl.2n2"],
["LyN3","lyn3"],
["LyN5","bn5","hn.2n5","lyn5"],
["M","f1","m"],
["M10x2","2.a10m7","m10x2","u4(3).2_3m8"],
["M11","a11m6","a11m7","bm26","hsm8","m11","m12m1","m23m5","mclm11","onm10"
],
["M11N2","a6.2_3m4","m11n2","m11syl2","qd16"],
["M11xA6.2^2","m11xa6.2^2","mm30"],
["M11xS3","3.mcl.2m8","m11xs3"],
["M12","a12m7","a12m8","fi22m14","m12","m12.2m1"],
["M12.2","fi22.2m13","hnm11","m12.2","m12:2","m24m4","suzm10"],
["M12.2M3","m12.2m3"],
["M12.2x2","m12.2x2","suz.2m11"],
["M12C4","m12c4","u3(3)n2"],
["M12M2","m12m2"],
["M12M4","m12m4"],
["M12M7","m12m7"],
["M12N2","g2(3)n2","m12n2","m12syl2","p2(m12)"],
["M12N3","m12n3","m12n3a"],
["M22","hsm1","m22","m22.2m1","m23m1","mclm2","u6(2)m11"],
["M22.2","hs.2m2","j4m12v1","j4m12v2","j4m6","m22.2","m24m2","u6(2).2m8"],
["M22.2M3","m22.2m3"],
["M22.2M4","m22.2m4"],
["M22C2A","m22c2a","m22n2a"],
["M23","co2m9","co3m4","m23","m24m1"],
["M23C2A","m23c2","m23c2a","m23n2a"],
["M24","m24"],
["M24C2A","m24c2a","m24n2a"],
["M24C2B","2^2.l3(4).2_2m2","2^2.l3(4).2_2m3","m24c2b","m24n2b"],
["M24N2","hen2","m24n2"],
["M8.S4","2^{1+4}_+.s3","m12m9","m8.s4","q8.s4"],
["MN5","mn5"],
["McL","co2m3","mcl","mcl.2m1"],
["McL.2","co3m1","mcl.2"],
["McL.2N3","mcl.2n3"],
["McLM10","mclm10"],
["McLM3","mclm3"],
["McLN2","(2.a8)syl2","mcln2"],
["NDG(12.M22,3^2)","ndg(12.m22,3^2)"],
["NDG(2.Co1,3^3)","ndg(2.co1,3^3)"],
["NDG(2.Co1,5^2)","ndg(2.co1,5^2)"],
["NDG(2.HS,Q8)","ndg(2.hs,q8)"],
["NDG(2.HS,Q8).2","ndg(2.hs,q8).2"],
["NDG(3.ON,D8)","ndg(3.on,d8)"],
["NDG(Co1,5^2)","ndg(co1,5^2)"],
["NDG(HN,3^2)","ndg(hn,3^2)"],
["NDG(HN.2,3^2)","ndg(hn.2,3^2)"],
["NDG(He.2,3^2)","ndg(he.2,3^2)"],
["NDG(J4,3^2)","ndg(j4,3^2)"],
["NDG(ON,D8)","ndg(on,d8)"],
["NDG(ON,D8).2","ndg(on,d8).2"],
["NRS(M22,[2^6])","nrs(m22,[2^6])"],
["NRS(M24,2^(2+2+4)a)","nrs(m24,2^(2+2+4)a)"],
["NRS(M24,2^(4+4))","nrs(m24,2^(4+4))"],
["NRS(M24,[2^9]a)","nrs(m24,[2^9]a)"],
["NRS(M24,[2^9]b)","nrs(m24,[2^9]b)"],
["NRS(O8+(2),2^(3+3+3)_a)","nrs(o8+(2),2^(3+3+3)_a)"],
["NRS(O8+(2),2^(3+3+3)_b)","nrs(o8+(2),2^(3+3+3)_b)"],
["O10+(2)","o10+(2)","o10+(2).2m1","o10p2c"],
["O10+(2).2","o10+(2).2","o10p2","s10(2)m2"],
["O10+(2)M4","o10+(2)m4"],
["O10+(3)","o10+(3)"],
["O10-(2)","2e6(2)m10","f3+m4","o10-(2)","o10-(2).2m1"],
["O10-(2).2","2e6(2).2m7","f3+.2m5","o10-(2).2","s10(2)m1"],
["O10-(3)","o10-(3)"],
["O12+(2)","o12+(2)"],
["O12+(2).2","o12+(2).2","o12p2","s12(2)m2"],
["O12+(3)","o12+(3)"],
["O12-(2)","o12-(2)"],
["O12-(2).2","o12-(2).2","s12(2)m1"],
["O12-(3)","o12-(3)"],
["O7(3)","f22m2","fi22m2","o7(3)","o7(3).2m1","o7f3","o8+(3)m1"],
["O7(3).2","2e6(2).2m10","o7(3).2","o7f3d","o8-(3)m2"],
["O7(3).2x2","o7(3).2x2","o8-(3).2_1m3"],
["O7(3)M11","o7(3)m11"],
["O7(3)M5","o7(3)m5"],
["O7(3)M8","o7(3)m8"],
["O7(3)N3A","o7(3)m9","o7(3)n3a"],
["O7(5)","o7(5)"],
["O7(5).2","o7(5).2"],
["O8+(2)","o8+(2)","o8+(2).2m1","o8+(2).3m1","o8+(3)m10","o8p2"],
["O8+(2).2","f22u4","o8+(2).2","o8p2b","s8(2)m2"],
["O8+(2).3","o8+(2).3","o8p2d"],
["O8+(2).3.2","f22m4","f4(2)m7","fi22m4","o8+(2).3.2","o8+(2).s3",
"o8+(2):s3","o8p2s3"],
["O8+(2):S3x2","2.fi22m4","2xo8+(2):s3","fi22.2m3","o8+(2):s3x2"],
["O8+(2)M11","o8+(2)m11"],
["O8+(2)M12","o8+(2)m12"],
["O8+(2)M16","o8+(2)m16"],
["O8+(2)M17","o8+(2)m17"],
["O8+(2)M2","o8+(2)m2"],
["O8+(2)M3","o8+(2)m3"],
["O8+(2)M5","o8+(2)m5"],
["O8+(2)M6","o8+(2)m6"],
["O8+(2)M8","o8+(2)m8"],
["O8+(2)M9","o8+(2)m9"],
["O8+(2)N2","o8+(2)n2"],
["O8+(2)N5C","o8+(2)n5c"],
["O8+(3)","o8+(3)","o8p3"],
["O8+(3).(2^2)_{111}","o8+(3).(2^2)_{111}"],
["O8+(3).(2^2)_{122}","o8+(3).(2^2)_{122}"],
["O8+(3).2_1","o8+(3).2_1"],
["O8+(3).2_1'","o8+(3).2_1'"],
["O8+(3).2_1''","o8+(3).2_1''"],
["O8+(3).2_2","o8+(3).2_2"],
["O8+(3).2_2'","o8+(3).2_2'"],
["O8+(3).3","o8+(3).3"],
["O8+(3).3.2","fi23m2","o8+(3).3.2","o8+(3).s3","o8+(3):s3"],
["O8+(3).4","o8+(3).4"],
["O8+(3).A4","o8+(3).a4"],
["O8+(3).D8","o8+(3).d8"],
["O8+(3).S4","bm12","o8+(3).s4"],
["O8+(3)M11","o8+(3)m11"],
["O8+(3)M12","o8+(3)m12"],
["O8+(3)M13","o8+(3)m13"],
["O8+(3)M14","o8+(3)m14"],
["O8+(3)M16","o8+(3)m16"],
["O8+(3)M17","o8+(3)m17"],
["O8+(3)M19","o8+(3)m19"],
["O8+(3)M2","o8+(3)m2"],
["O8+(3)M20","o8+(3)m20"],
["O8+(3)M21","o8+(3)m21"],
["O8+(3)M22","o8+(3)m22"],
["O8+(3)M23","o8+(3)m23"],
["O8+(3)M25","o8+(3)m25"],
["O8+(3)M26","o8+(3)m26"],
["O8+(3)M27","o8+(3)c2d","o8+(3)m27"],
["O8+(3)M3","o8+(3)m3"],
["O8+(3)M4","o8+(3)m4"],
["O8+(3)M5","o8+(3)m5"],
["O8+(3)M6","o8+(3)m6"],
["O8+(3)M8","o8+(3)m8"],
["O8+(3)M9","o8+(3)m9"],
["O8+(7)","o8+(7)"],
["O8-(2)","o8-(2)","o8-(2).2m1"],
["O8-(2).2","o8-(2).2","s8(2)m1"],
["O8-(3)","o8-(3)","o8-(3).2_1m1","o8-(3).2_2m1","o8-(3).2_3m1"],
["O8-(3).2^2","o8-(3).2^2"],
["O8-(3).2_1","o8-(3).2_1"],
["O8-(3).2_1M4","o8-(3).2_1m4"],
["O8-(3).2_2","o8-(3).2_2"],
["O8-(3).2_3","o8-(3).2_3"],
["O8-(3)M3","o8-(3)m3"],
["O8-(3)M8","o8-(3)m8"],
["O9(3)","o9(3)"],
["ON","o'n","on","on.2m1"],
["ON.2","o'n.2","on.2"],
["ON.2N2","on.2n2"],
["ONM11","onm11"],
["ONM2","onm2"],
["ONM5","onm5"],
["ONM8","onm8"],
["P1/G1/L1/V1/ext2","2^4.a5","p1/g1/l1/v1/ext2","s4(5)m5","u4(2)m1"],
["P1/G1/L1/V1/ext3","3^4.a5v1","p1/g1/l1/v1/ext3"],
["P1/G1/L1/V1/ext4","4^4.a5","p1/g1/l1/v1/ext4"],
["P1/G1/L1/V1/ext5","5^4.a5","p1/g1/l1/v1/ext5"],
["P1/G1/L1/V1/ext6","6^4.a5v1","p1/g1/l1/v1/ext6"],
["P1/G1/L1/V2/ext3","3^4.a5v2","p1/g1/l1/v2/ext3"],
["P1/G1/L1/V2/ext6","6^4.a5v2","p1/g1/l1/v2/ext6"],
["P1/G2/L1/V1/ext2","2.l3(4)m1","2.l3(4)m2","2^5.a5v1","2am20",
"p1/g2/l1/v1/ext2"],
["P1/G2/L1/V1/ext3","3^5.a5","p1/g2/l1/v1/ext3"],
["P1/G2/L1/V1/ext4","4^5.a5v1","p1/g2/l1/v1/ext4"],
["P1/G2/L1/V2/ext2","2^5.a5v2","2cm20","p1/g2/l1/v2/ext2"],
["P1/G2/L1/V2/ext4","4^5.a5v2","p1/g2/l1/v2/ext4"],
["P1/G2/L2/V2/ext2","2^5.a5v3","p1/g2/l2/v2/ext2"],
["P1/G2/L2/V2/ext4","4^5.a5v3","p1/g2/l2/v2/ext4"],
["P1/G3/L2/V1/ext2","2^2.l3(4)m1","2^2.l3(4)m2","2^6.a5","p1/g3/l2/v1/ext2"
],
["P1/G3/L2/V1/ext3","3^6.a5","p1/g3/l2/v1/ext3"],
["P11/G1/L1/V1/ext2","2^6.l3(2)v1","p11/g1/l1/v1/ext2"],
["P11/G1/L1/V1/ext3","3^6.l3(2)v1","p11/g1/l1/v1/ext3"],
["P11/G1/L1/V1/ext4","4^6.l3(2)v1","p11/g1/l1/v1/ext4"],
["P11/G1/L1/V2/ext2","2^6.l3(2)v2","p11/g1/l1/v2/ext2"],
["P11/G1/L1/V2/ext4","4^6.l3(2)v2","p11/g1/l1/v2/ext4"],
["P11/G1/L1/V3/ext2","2^6.l3(2)v3","p11/g1/l1/v3/ext2"],
["P11/G1/L1/V3/ext4","4^6.l3(2)v3","p11/g1/l1/v3/ext4"],
["P11/G2/L1/V1/ext2","2^6.l3(2)v4","p11/g2/l1/v1/ext2"],
["P11/G2/L1/V1/ext3","3^6.l3(2)v2","p11/g2/l1/v1/ext3"],
["P11/G2/L1/V2/ext2","2^6.l3(2)v5","p11/g2/l1/v2/ext2"],
["P11/G3/L1/V1/ext2","2^7.l3(2)v1","p11/g3/l1/v1/ext2"],
["P11/G3/L1/V1/ext3","3^7.l3(2)v1","p11/g3/l1/v1/ext3"],
["P11/G3/L1/V2/ext3","3^7.l3(2)v2","p11/g3/l1/v2/ext3"],
["P11/G3/L3/V1/ext2","2^7.l3(2)v2","p11/g3/l3/v1/ext2"],
["P11/G3/L3/V2/ext3","3^7.l3(2)v3","p11/g3/l3/v2/ext3"],
["P11/G3/L4/V2/ext2","2^7.l3(2)v3","p11/g3/l4/v2/ext2"],
["P11/G3/L4/V2/ext3","3^7.l3(2)v4","p11/g3/l4/v2/ext3"],
["P11/G3/L4/V3/ext2","2^7.l3(2)v4","p11/g3/l4/v3/ext2"],
["P11/G4/L1/V1/ext2","2^8.l3(2)","p11/g4/l1/v1/ext2"],
["P11/G4/L1/V1/ext3","3^8.l3(2)","p11/g4/l1/v1/ext3"],
["P12/G1/L2/V1/ext2","2^8.2.l3(2)","p12/g1/l2/v1/ext2"],
["P12/G1/L2/V1/ext3","3^8.2.l3(2)","p12/g1/l2/v1/ext3"],
["P13/G1/L2/V1/ext2","2^7.2^3:sl(3,2)v1","p13/g1/l2/v1/ext2"],
["P13/G1/L2/V1/ext3","3^7.2^3:sl(3,2)","p13/g1/l2/v1/ext3"],
["P13/G1/L6/V1/ext2","2^7.2^3:sl(3,2)v2","p13/g1/l6/v1/ext2"],
["P1L62","p1l62"],
["P1L82","agl(7,2)","p1l82"],
["P2/G1/L1/V1/ext2","2^8.2.a5v1","p2/g1/l1/v1/ext2"],
["P2/G1/L1/V1/ext3","3^8.2.a5v1","p2/g1/l1/v1/ext3"],
["P2/G2/L1/V1/ext2","2^8.2.a5v2","p2/g2/l1/v1/ext2"],
["P2/G2/L1/V1/ext3","3^8.2.a5v2","p2/g2/l1/v1/ext3"],
["P2/G2/L1/V2/ext2","2^8.2.a5v3","p2/g2/l1/v2/ext2"],
["P21/G1/L1/V1/ext2","2^5.a6","p21/g1/l1/v1/ext2"],
["P21/G1/L1/V1/ext3","3^5.a6v1","p21/g1/l1/v1/ext3"],
["P21/G1/L1/V1/ext4","4^5.a6","p21/g1/l1/v1/ext4"],
["P21/G1/L3/V2/ext3","3^5.a6v2","p21/g1/l3/v2/ext3"],
["P21/G2/L1/V1/ext2","2^9.a6v1","p21/g2/l1/v1/ext2"],
["P21/G2/L1/V2/ext2","2^9.a6v2","p21/g2/l1/v2/ext2"],
["P21/G2/L1/V3/ext2","2^9.a6v3","p21/g2/l1/v3/ext2"],
["P21/G2/L2/V1/ext2","2^9.a6v4","p21/g2/l2/v1/ext2"],
["P21/G2/L2/V2/ext2","2^9.a6v5","p21/g2/l2/v2/ext2"],
["P21/G2/L2/V3/ext2","2^9.a6v6","p21/g2/l2/v3/ext2"],
["P21/G2/L5/V2/ext2","2^9.a6v7","p21/g2/l5/v2/ext2"],
["P21/G3/L2/V1/ext2","2^10.a6v1","p21/g3/l2/v1/ext2"],
["P21/G3/L5/V1/ext2","2^10.a6v2","p21/g3/l5/v1/ext2"],
["P27/G1/L1/V1/ext2","2^6.a7","p27/g1/l1/v1/ext2"],
["P27/G1/L1/V1/ext3","3^6.a7","p27/g1/l1/v1/ext3"],
["P27/G1/L1/V1/ext4","4^6.a7","p27/g1/l1/v1/ext4"],
["P2L62","2^8:(a8xs3)","l6(2)m3","l6(2)m4","p2l62"],
["P2L82","p2l82"],
["P31/G1/L1/V1/ext2","2.o8+(2)m4","2^7.a8","p31/g1/l1/v1/ext2"],
["P31/G1/L1/V1/ext3","3^7.a8","p31/g1/l1/v1/ext3"],
["P3L62","2^9:(l3(2)xl3(2))","l6(2)m5","p3l62"],
["P41/G1/L1/V1/ext2","2^7.l2(8)v1","p41/g1/l1/v1/ext2"],
["P41/G1/L1/V1/ext3","3^7.l2(8)v1","p41/g1/l1/v1/ext3"],
["P41/G1/L1/V2/ext2","2^7.l2(8)v2","p41/g1/l1/v2/ext2"],
["P41/G1/L1/V3/ext3","3^7.l2(8)v2","p41/g1/l1/v3/ext3"],
["P41/G1/L1/V4/ext2","2^7.l2(8)v3","p41/g1/l1/v4/ext2"],
["P41/G1/L1/V4/ext3","3^7.l2(8)v3","p41/g1/l1/v4/ext3"],
["P41/G2/L1/V1/ext2","2^8.l2(8)","p41/g2/l1/v1/ext2"],
["P41/G2/L1/V1/ext3","3^8.l2(8)","p41/g2/l1/v1/ext3"],
["P43/G1/L1/V1/ext2","2^10.l2(11)v1","p43/g1/l1/v1/ext2"],
["P43/G2/L1/V1/ext2","2^10.l2(11)v2","p43/g2/l1/v1/ext2"],
["P43/G3/L1/V1/ext2","2^10.l2(11)v3","p43/g3/l1/v1/ext2"],
["P43/G3/L1/V2/ext2","2^10.l2(11)v4","p43/g3/l1/v2/ext2"],
["P48/G1/L1/V1/ext2","2^10.m11v1","p48/g1/l1/v1/ext2"],
["P48/G1/L1/V2/ext2","2^10.m11v2","p48/g1/l1/v2/ext2"],
["P49/G1/L1/V1/ext2","2^7.u3(3)","p49/g1/l1/v1/ext2"],
["P49/G1/L1/V1/ext3","3^7.u3(3)v1","p49/g1/l1/v1/ext3"],
["P49/G1/L1/V2/ext3","3^7.u3(3)v2","p49/g1/l1/v2/ext3"],
["P50/G1/L1/V1/ext2","p50/g1/l1/v1/ext2"],
["P50/G1/L1/V1/ext3","3^6.u4(2)","p50/g1/l1/v1/ext3"],
["P50/G1/L1/V1/ext4","4^6.u4(2)","p50/g1/l1/v1/ext4"],
["Q8","q8"],
["QD16.2","qd16.2"],
["R(27)","2g2(27)","r(27)","r(27).3m1"],
["R(27).3","r(27).3"],
["Ru","ru"],
["RuN2","run2"],
["S10(2)","o11(2)","o11f2","s10(2)","s10f2"],
["S10x2","2.fi22m12","a12.2m3","s10x2"],
["S10xS3","a13.2m4","s10xs3"],
["S11x2","a13.2m3","s11x2"],
["S12(2)","o13(2)","s12(2)"],
["S3","a5m3","a5n3","agl(1,3)","l2(2)","l3(2)n3","s3"],
["S3wrS4","a12.2m10","s3wrs4"],
["S3x(3xSL(2,3)):2","s3x(3xsl(2,3)):2"],
["S3x13:6","fi23n13","s3x13:6","s3xo7(3)n13"],
["S3x2","a5.2m4","d12","l2(11)m4","l2(13)m3","l3(2).2m4","s3x2"],
["S3x2.A5","s3x2.a5"],
["S3x2.S4","s3x2.s4"],
["S3x2.U4(3).2_2","2.fi22m8","s3x2.u4(3).2_2"],
["S3x3.S6","s3x3.s6"],
["S3x3^(1+2)+:2A4","s3x3^(1+2)+:2a4","u5(2)m5"],
["S3x3_1.U4(3).2_2","3.fi22m8","s3x3_1.u4(3).2_2"],
["S3x5:4","a8.2n5","s3x5:4","s6(2)n5","u6(2)n5"],
["S3x6_1.U4(3).2_2","6.fi22m8","ndg(6.fi22,3^2)","s3x6_1.u4(3).2_2"],
["S3x7:6","co3n7","fi22n7","l3(4).d12m8","s3x7:6"],
["S3xA5","s3xa5"],
["S3xFi22.2","bm9","bn3a","s3xfi22.2"],
["S3xJ2.2","3.suz.2m7","s3xj2.2"],
["S3xL2(8)","3d4(2)m4","s3xl2(8)"],
["S3xM12.2","3.suz.2m11","s3xm12.2"],
["S3xO7(3)","fi23m5","s3xo7(3)"],
["S3xO8+(3):S3","f3+.2m4","f3+.2n3a","s3xo8+(3):s3"],
["S3xS3","s3xs3"],
["S3xS6","a9.2m4","s3xs6","s6(2)m7"],
["S3xS6(2)","f4(2)n3a","s3xs6(2)","s8(2)m6"],
["S3xTh","mm9","mn3c","s3xth"],
["S3xU4(2)","s3xu4(2)","u6(2)m14"],
["S3xU4(2).2","s3xu4(2).2"],
["S3xU4(3)","s3xu4(3)"],
["S3xU4(3).(2^2)_{122}","fi22.2m7","fi22.2n3a","s3xu4(3).(2^2)_{122}"],
["S3xU4(3).2_2","fi22m8","s3xu4(3).2_2","s3xu4(3):2_2"],
["S4(4)","o5(4)","s4(4)","s4(4).2m1","s4f4"],
["S4(4).2","hem1","o5(4).2","s4(4).2","s4f4:2","s8(2)m9"],
["S4(4).2M3","s4(4).2m3"],
["S4(4).2M5","s4(4).2m5"],
["S4(4).2M7","s4(4).2m7"],
["S4(4).4","f4(2).2m6","fi23m13","he.2m2","o5(4).4","s4(4).4"],
["S4(4)M2","s4(4)m2"],
["S4(4)M4","s4(4)m4"],
["S4(4)M6","s4(4)m6"],
["S4(5)","o5(5)","s4(5)"],
["S4(5).2","o5(5).2","s4(5).2"],
["S4(7)","o5(7)","s4(7)"],
["S4(7).2","o5(7).2","s4(7).2"],
["S4(8)","o5(8)","s4(8)"],
["S4(8).3","o5(8).3","s12(2)m14","s4(8).3"],
["S4(9)","o5(9)","s4(9)"],
["S4(9).2^2","o5(9).2^2","s4(9).2^2"],
["S4(9).2_1","o5(9).2_1","s4(9).2_1"],
["S4(9).2_2","o5(9).2_2","s4(9).2_2"],
["S4(9).2_3","o5(9).2_3","s4(9).2_3"],
["S4wrS3","a12.2m8","s4wrs3"],
["S4x2F4(2)'.2","bm16","s4x2f4(2)","s4x2f4(2)'.2"],
["S4x2^2","s4x2^2"],
["S4x3^(1+2):4","s4x3^(1+2):4"],
["S4x3^(1+2)_+:Q8","s4x3^(1+2)_+:q8"],
["S4x3^2:4","s4x3^2:4"],
["S4x3^2:Q8","s4x3^2:q8"],
["S4x5^2:4S4","f3+.2n5","s4x5^2:4s4"],
["S4xL3(2).2","he.2m10","s4xl3(2).2"],
["S4xO8+(2):S3","f3+.2m13","s4xo8+(2):s3"],
["S4xS3","a7.2m4","m12.2m8","s4xs3"],
["S4xS4","l4(3)m8","s4xs4"],
["S4xS6(2)","fi23m12","s4xs6(2)"],
["S4xU3(3).2","s4xu3(3).2"],
["S4xU4(2).2","o8-(3)m7","s4xu4(2).2"],
["S5xS3","a8.2m5","l3(4).d12m7","s4(5)m6","s5xs3"],
["S5xS4","a9.2m5","s5xs4"],
["S5xS9","f3+.2m17","s5xs9"],
["S6(2)","l6(2)m6","o7(2)","o7(3)m7","o8+(2)m1","o8-(2)m2","s6(2)","s6f2",
"u6(2)m8"],
["S6(2)N2","o7(3)n2","s6(2)n2"],
["S6(3)","s6(3)","s6f3"],
["S6(3).2","s6(3).2"],
["S6(4)","o7(4)","s6(4)"],
["S6(4).2","o7(4).2","s12(2)m11","s6(4).2"],
["S6(5)","s6(5)"],
["S6x2","a8.2m3","s4(4).2m8","s6x2","u4(2).2m3"],
["S6xD8","s6xd8"],
["S6xL2(8):3","f3+.2m18","s6xl2(8):3"],
["S6xS4","a10.2m6","o7(3)m14","s6xs4"],
["S6xS5","a11.2m6","s6xs5"],
["S7x2","a9.2m3","s7x2"],
["S7xS3","a10.2m4","s7xs3"],
["S7xS4","a11.2m5","s7xs4"],
["S7xS5","a12.2m7","s7xs5"],
["S7xS6","a13.2m7","s7xs6"],
["S8(2)","f4(2)m3","fi23m4","l8(2)m8","o10+(2)m1","o10-(2)m2","o9(2)",
"s8(2)","s8f2"],
["S8(2)M3","2.fi22m6","s8(2)c2a","s8(2)m3"],
["S8(3)","s8(3)"],
["S8x2","a10.2m3","hs.2m4","s8x2"],
["S8xS3","a11.2m4","o8-(2).2m6","s8xs3"],
["S8xS4","a12.2m6","s8xs4"],
["S8xS5","a13.2m6","s8xs5"],
["S9x2","a11.2m3","s9x2"],
["S9xS3","a12.2m4","s9xs3"],
["S9xS4","a13.2m5","s9xs4"],
["Suz","suz","suz.2m1"],
["Suz.2","suz.2"],
["SuzN2","suzn2"],
["Symm(4)","l2(31)m6","l2(31)m7","l3(2)m1","l3(2)m2","symm(4)"],
["Sz(32)","sz(32)"],
["Sz(32).5","sz(32).5"],
["Sz(8)","sz(8)","sz(8).3m1","sz8"],
["Sz(8).3","sz(8).3"],
["Th","bm5","f3","th"],
["ThM7","thm7"],
["ThN2","thn2"],
["ThN3","thn3"],
["ThN3B","thm6","thn3b"],
["U3(11)","u3(11)","u3q11"],
["U3(11).2","j4m5","psu(3,11):2","u3(11).2"],
["U3(11).3","u3(11).3"],
["U3(11).S3","u3(11).3.2","u3(11).s3"],
["U3(11)M4","u3(11)m4"],
["U3(11)M5","u3(11)m5"],
["U3(3)","g2(2)'","j2m1","j4m10","l3(9)m3","u3(3)","u3(3).2m1","u3q3",
"u4(3)m7"],
["U3(3).2","3d4(2)m3","f3+m21","f3+m22","g2(2)","g2(3)m1","g2(4)m6",
"g2(5)m6","j2.2m2","s6(2)m4","u3(3).2","u332","u3q3a","u4(3).2_3m6"],
["U3(4)","u3(4)","u3(4).2m1","u3q4"],
["U3(4).2","g2(4)m4","u3(4).2","u3(4).4m1","u3q4a"],
["U3(4).4","g2(4).2m5","mm37","u3(4).4"],
["U3(5)","mclm4","u3(5)","u3(5).2m1","u3(5).3m1","u3q5"],
["U3(5).2","c4u2","hsm2","mcl.2m3","rum5","u3(5).2","u3(5).3.2m2","u3q5:2"],
["U3(5).2N2","u3(5).2n2"],
["U3(5).3","u3(5).3","u3(5).3.2m1","u3q5.3"],
["U3(5).3.2","co3m7","u3(5).3.2","u3(5).s3","u3(5):s3","u3q5:s3"],
["U3(5)M2","u3(5)m2"],
["U3(5)M3","u3(5)m3"],
["U3(5)M6","u3(5)m6"],
["U3(5)M7","u3(5)m7"],
["U3(7)","u3(7)"],
["U3(7).2","u3(7).2"],
["U3(8)","u3(8)","u3q8"],
["U3(8).(S3x3)","u3(8).(s3x3)"],
["U3(8).2","u3(8).2"],
["U3(8).3^2","u3(8).3^2"],
["U3(8).3_1","2e6(2)m15","hnm3","u3(8).3_1"],
["U3(8).3_2","u3(8).3_2"],
["U3(8).3_3","u3(8).3_3"],
["U3(8).6","2e6(2).2m13","hn.2m4","thm4","u3(8).6"],
["U3(8).S3","u3(8).s3"],
["U3(8)M4","u3(8)m4"],
["U3(8)M5","u3(8)m5"],
["U3(9)","u3(9)"],
["U3(9).2","u3(9).2"],
["U3(9).4","u3(9).4"],
["U4(2)","s4(3)","u4(2)","u4(2).2m1","u4(3)m2","u4q2"],
["U4(2).2","l4(3)m3","o6m2.2","s6(2)m1","s6f2s1","u4(2).2","u4(3).2_1m3",
"u5(3)m5","w(e6)"],
["U4(3)","c3u1","f22u1","mclm1","u4(3)","u4(3).2_1m1","u4(3).2_3m1","u4q3"],
["U4(3).(2^2)_{122}","u4(3).(2^2)_{122}"],
["U4(3).(2^2)_{133}","co3m3","u4(3).(2^2)_{133}"],
["U4(3).(2^2)_{133}M11","u4(3).(2^2)_{133}m11"],
["U4(3).(2^2)_{133}M12","u4(3).(2^2)_{133}m12"],
["U4(3).(2^2)_{133}M6","u4(3).(2^2)_{133}m6"],
["U4(3).2_1","u4(3).(2^2)_{133}m1","u4(3).2_1"],
["U4(3).2_1M10","u4(3).2_1m10"],
["U4(3).2_1M4","u4(3).2_1m4"],
["U4(3).2_2","f22u2","u4(3).2_2","u4q3b","u6(2)m4"],
["U4(3).2_2'","u4(3).2_2'"],
["U4(3).2_3","mcl.2m2","u4(3).(2^2)_{133}m2","u4(3).2_3"],
["U4(3).2_3'","u4(3).(2^2)_{133}m3","u4(3).2_3'"],
["U4(3).2_3M10","u4(3).2_3m10"],
["U4(3).4","u4(3).4"],
["U4(3).D8","co2m7","u4(3).d8","u4q3.d8"],
["U4(3)M12","u4(3)m12","u4(3)m13"],
["U4(3)M3","u4(3)m3"],
["U4(3)M9","u4(3)m9"],
["U4(4)","u4(4)"],
["U4(4).4","u4(4).4"],
["U4(5)","u4(5)"],
["U4(5).2^2","u4(5).2^2"],
["U4(5).2_1","u4(5).2_1"],
["U4(5).2_2","u4(5).2_2"],
["U4(5).2_3","u4(5).2_3"],
["U5(2)","suzm3","u5(2)","u5(2).2m1","u5q2","u6(2)m1"],
["U5(2).2","suz.2m4","u5(2).2","u6(2).2m2"],
["U5(3)","u5(3)"],
["U5(4)","u5(4)"],
["U5(4).2","u5(4).2"],
["U6(2)","u6(2)","u6(2).2m1","u6(2).3m1","u6q2"],
["U6(2).2","co2m1","u6(2).2","u6q2.2"],
["U6(2).3","u6(2).3","u6q2.3"],
["U6(2).3.2","co1m6","u6(2).3.2","u6(2).s3","u6(2):s3"],
["U6(2)M10","u6(2)m10"],
["U6(2)M12","u6(2)m12"],
["U6(2)M13","u6(2)m13"],
["U6(2)M5","u6(2)m5"],
["U6(2)M6","u6(2)m6"],
["U6(2)M9","u6(2)m9"],
["U6(4)","u6(4)"],
["U7(2)","u7(2)"],
["U72CT","u72ct"],
["V4","2^2","v4"],
["[2^20]:(S3xL3(2))","[2^20]:(s3xl3(2))","f4(2)m5"],
["[2^20]:A6.2^2","[2^20]:a6.2^2","f4(2).2m2"],
["[2^22]:(S3xS3):2","[2^22]:(s3xs3):2","f4(2).2m3"],
["[2^30].L5(2)","[2^30].l5(2)","bm8"],
["[2^35].(S5xL3(2))","[2^35].(s5xl3(2))","bm10"],
["[2^9].S3a","[2^9].s3a"],
["[2^9].S3b","[2^9].s3b"],
["[7^6]:(6x6)","[7^6]:(6x6)","mn7"],
["a4","a4","a5m1","a5n2","agl(1,4)","l2(13)m4","l2(27)m4","l2(3)"],
["a4xa5","a4xa5","j2m5"],
["a4xs5","a4xs5","co3m14"],
["a5wc2","a5wc2","s4(4)m5"],
["a5xd10","a5xd10","j2m6","u3(4).2m3"],
["affine","affine"],
["b33141","b33141","u4(2)m5"],
["bd10","2.a5m2","2.a5n5","2.a6n5","bd10"],
["bd6","bd6"],
["bd8","bd8"],
["c2aj4","c2aj4","j4c2a","j4m2"],
["c3d2","c3d2","co3d2"],
["esp43t","esp43t"],
["f22s2","f22s2","fi22n2"],
["frob","29:28","agl(1,29)","f3+.2m21","f3+.2n29","f3+.2n29a","frob","j4m11",
"j4n29","j4n29a","l2(29).2m2"],
["g61","g61"],
["g61s1","g61s1"],
["g72x16","g72x16"],
["ghh","ghh"],
["gl25","gl25"],
["group2","group2"],
["group3","group3"],
["group5","group5"],
["group6","group6","l3(3).2m3"],
["gs4","gs4"],
["h4","h4","s4(5)m4"],
["hed3","2^2.psl(3,4).s3m5","hed3"],
["hess","hess"],
["hsd2","hsd2"],
["j2nd2","j2d2","j2nd2"],
["j3m4","2^4:(3xa5)","agl(2,4)","j3m4"],
["j3m6","(3xa6):2_2","j3m6","j3n3a"],
["m12d2","m12d2"],
["mo61","a8.2m4","mo61"],
["mo62","a10m6","mo62","u4(2).2m2"],
["mo62p","mo62p"],
["mo81","mo81"],
["mx1j4","j4m1","mx1j4"],
["ons1","ons1"],
["pap","pap"],
["s2wrs2","s2wrs2"],
["s2wrs3","a6.2_1m6","s2wrs3"],
["s2wrs4","a8.2m6","s2wrs4","w(b4)"],
["s2wrs5","a10.2m7","s2wrs5","w(b5)"],
["s3wrs2","3^2:d8","a6.2_1m4","a8n3","s3wrs2"],
["s3wrs3","a9.2m6","s3wrs3","u4(2).2m5"],
["s3xpsl(2,8).3","3d4(2).3m5","co3m13","s3xpsl(2,8).3"],
["s4","a5.2m2","a6m4","agl(2,2)","l2(11).2m3","l2(113)m4","l2(113)m5",
"l2(17)m2","l2(17)m3","l2(23)m2","l2(23)m3","l3(3)m4","s4"],
["s4wrs2","s4wrs2"],
["s4xpsl(3,2)","hem9","s4xpsl(3,2)"],
["s5wrs2","a10.2m5","he.2m7","s5wrs2"],
["s61p","a8n2","a8syl2","s61p"],
["sl25ex","sl25ex"],
["suzd2","suzd2"],
["suzdx","suzdx"],
["suzs2","suzs2"],
["twd5a","2.u4(2).2m2","twd5a"],
["w(d4)","w(d4)"],
["w(d5)","w(d5)"],
["w(f4)","u4(2).2m6","w(f4)","weylf(4)"],
];
LIBLIST.allnames:= [];
LIBLIST.position:= [];
LIBLIST.makenames:= function()
local entry;
for entry in LIBLIST.names do
LIBLIST.pos:= Position( LIBLIST.firstnames, entry[1] );
Append( LIBLIST.allnames,
entry{ [2..Length(entry)] } );
Append( LIBLIST.position,
List( [2..Length(entry)], x -> LIBLIST.pos ) );
od;
Unbind( LIBLIST.names );
Unbind( LIBLIST.pos );
Unbind( LIBLIST.makenames );
for entry in LIBLIST.allnames do MakeImmutable( entry ); od;
end;
LIBLIST.makenames();
SortParallel( LIBLIST.allnames, LIBLIST.position );
LIBLIST.TOM_TBL_INFO:= [ [], [] ];
if IsPackageMarkedForLoading("tomlib","1.2") then
LIBLIST.TOM_TBL_INFO[1]:= [
"2.a5","2.s5","2.s5'","2.a6","2.s6","2.a7","2.s7","2.a8","2.s8","3.a6.2^2",
"3.pgl2(9)","3.s7","a10","s10","a11","s11","a12","s12","a13","s13","a5",
"s5","a6","a6.2^2","s6","a6.2_2","a6.2_3","a7","s7","a8","s8","a9","s9",
"g2(3)","g2(3).2","g2(4)","sz(32)","sz(8)","sz(8).3","co3","j1","j2",
"j2.2","j3","j3.2","2^4:a5`","2^2.(2^4:a5)","(3xa4):2","(a5x3):2","l2(11)",
"l2(11).2","l2(13)","l2(13).2","l2(16)","l2(16).2","l2(16).4","l2(17)",
"l2(19)","l2(23)","l2(25)","l2(25).2_2","l2(27)","l2(29)","l2(31)",
"l2(32)","l2(32).5","l2(8)","l2(8).3","l2(49)","l2(81)","2^2.l3(4)",
"3.l3(4)","3.l3(4).2_3","l3(4)","l3(4).2^2","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",
"2^2.l3(4).2_2","2^2.l3(4).3","l2(7)","l2(7).2","l3(3)","l3(3).2","l3(5)",
"l3(7)","l3(8)","l3(9)","l4(3)","l5(2)","l2(37)","l2(41)","l2(43)",
"l2(47)","l2(53)","l2(59)","l2(61)","l2(64)","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)","l3(11)","m11","m12","m12.2","m22",
"m22.2","m23","m24","13:3","19:3","31:3","37:3","43:3","73:3","91:3",
"133:3","31:5","109:54","113:56","d14","(5x11).2","(3x19).2","d122","63:2",
"s6x2","s7x2","s8x2","s9x2","s3xs5","s7xs3","s8xs3","s4xs4","s5xs4",
"s6xs4","s7xs4","s6xs5","d62x2","s3xl2(8)","5xa5","3xl2(8)","5x2.a6.2_2",
"3xu4(2)","3^(1+2)+:2a4","s3x3^(1+2)+:2a4","3x2s5","7:3x3","m10x2",
"l2(8):3x2","2^2xa6","2^2xl2(7)","a4x7:3","2^4:a5","3^(1+4)+.2s4",
"2(a4xa4).4","3^2:2a4","(a7x3):2","(a5xa5):4","(a6xa4):2","(a8x3):2",
"(a7xa4):2","(a6xa5):2","(a9x3):2","3^3:l3(3)","3^4:2(a4xa4).2","(4xa6):2",
"(3x2s5).2","(3xu4(2)):2","3^4:2^3.s4(a)","(4^2x2)(2xs4)","(4^2x2)s4",
"(4^2x3):s3","(7:3x3):2","(7xl2(7)):2","(9x3).s3","(a5xa5):2^2",
"(a8xa4):2","(a7xa5):2","(s3xs3xa5):2","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)",
"2.(3^(1+2)+:2s4)","2.(3^3:(s4x2))","2.(s3xs6)","2.(s6x2)","2.2^6.l3(2)",
"27:2^2","28.2^2","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)",
"2^2.(7:3xs3)","2^2.(l2(7)x2)","2^2.[2^6].(s3xs3)","2^2.s6","2^3.l3(2):2",
"2^6:(3xa5)","2^6:(3xa5):2","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","2^4:s5`","m8:s3","23:11","2^3:l3(2)","2^4:(3xa5).2",
"2^4:a6","2^4:a7","2^3:l3(2)x2","2^4:a8","2^6:(l3(2)xs3)","2^6:3.s6",
"2xs5","m9:s3","4^2:d12","4^2:d12.2","a4xs3","2^5:s5","m8.s4","s4xs3",
"m11x2","3^2:2s4x2","2^(1+6)+.l3(2)","2^2.l3(4).3.2_2","2^4.s6","2xa6.2^2",
"3^(1+4)+:2s5","3^(1+4)+:4s5","3^4:m10","4.2^4:s5","4^3:l3(2)","5:4xa5",
"5^2:gl2(5)","7:3xl3(2)","7^2:2l2(7)","s4xl3(2)","3^4:(m10x2)","2^4`a8",
"2xm12","a4xs5","s3xl2(8):3","2.[2^6]:(s3xs3)","2^5:s6","2^6:l3(2)",
"s6xs3","u3(3):2x2","(3xm10):2","11:10","13:6","19:18","19:6",
"2^(1+4)-.s5","2^(2+4):(s3xs3)","2^(1+4)-:a5","2^(2+4):(3xs3)","2xa5",
"u3(3)x2","3^2.3^(1+2):8.2","5^2:d12","7:6","d6xd10","(2^2xa5):2",
"m8.s4.2","l2(17)x2","a4xa5","a5xd10","2^4:(3xa5)","(3xa6):2_2",
"(a4xa5):2","(a5xd10).2","l3(2).2x2","(3^(1+2)+x3^2):2s4","2^(1+4)+:3^2.2",
"a5xa5","2^(5+5):31","41:4","25:4","d62","(a6xa6):2^2","2.[2^8]:5:4",
"2^2.[2^8]:s3","2^(1+6)-:3^(1+2)+:2a4","2^(4+4):(3xa5)","3^4:s5","4^2:s3",
"(a5xa5):2","2.(a4xa4).2","2^2.(2^4s5)","30.2^2","2.(a5xa5).2",
"2^2.(3^2:2s4)","(s4xs4):2","2^4:(s3xs3)","2^4:s5","2^6:a8","2^4:s4",
"2^5:s5`","3^3:(2xs4)","s4","(s5xs5):2","2.(2^4:s5)","2.(a4xa4).2.2",
"3^(1+4)+.(2s4x2)","(a6x3):2","2^6:u4(2)","3^3:s4","3^4:a6",
"7^2:2.l2(7):2","2^4:s6","2^3.l3(2)`","o8+(2)","o8-(2)","hs","hs.2","he",
"he.2","mcl","mcl.2","2^3:7:3","3^(1+2)+:d8","3^2.3^(1+2):8","3^2:q8",
"m9:2","5^(1+2)+:3:8.2","5^(1+2)+:8:2","5^(1+2)+:3:8","5^2:(4xs3)",
"5^2:4a4","7^(1+2)+:(s3x3)","5:4","7:6xs3","13:4","2^(3+3):7","2.s6(2)",
"s4(4)","s4(4).2","s4(5)","s6(2)","2f4(2)'","2f4(2)","3d4(2)","u4(3)",
"u4(3).2^2_133","u4(3).2_1","u4(3).2_3","u3(3)","u3(3).2","u3(4)",
"u3(4).2","u3(5)","u3(5).2","u3(5).3","u3(5).s3","u3(7)","u3(8)","u3(9)",
"2.u4(2)","2.u4(2).2","u3(11)","u4(2)","u4(2).2","u5(2)", ];
LIBLIST.TOM_TBL_INFO[2]:= [
"2.a5","2.a5.2","isoclinic(2.a5.2)","2.a6","2.a6.2_1","2.a7",
"isoclinic(2.a7.2)","2.a8","isoclinic(2.a8.2)","3.a6.2^2","3.a6.2_2",
"3.a7.2","a10","a10.2","a11","a11.2","a12","a12.2","a13","a13.2","a5",
"a5.2","a6","a6.2^2","a6.2_1","a6.2_2","a6.2_3","a7","a7.2","a8","a8.2",
"a9","a9.2","g2(3)","g2(3).2","g2(4)","sz(32)","sz(8)","sz(8).3","co3",
"j1","j2","j2.2","j3","j3.2","p1/g1/l1/v1/ext2","p1/g3/l2/v1/ext2",
"(a4x3):2","(a5x3):2","l2(11)","l2(11).2","l2(13)","l2(13).2","l2(16)",
"l2(16).2","l2(16).4","l2(17)","l2(19)","l2(23)","l2(25)","l2(25).2_2",
"l2(27)","l2(29)","l2(31)","l2(32)","l2(32).5","l2(8)","l2(8).3","l2(49)",
"l2(81)","2^2.l3(4)","3.l3(4)","3.l3(4).2_3","l3(4)","l3(4).2^2",
"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","2^2.l3(4).2_2","2^2.l3(4).3","l3(2)","l3(2).2",
"l3(3)","l3(3).2","l3(5)","l3(7)","l3(8)","l3(9)","l4(3)","l5(2)","l2(37)",
"l2(41)","l2(43)","l2(47)","l2(53)","l2(59)","l2(61)","l2(64)","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)","l3(11)","m11","m12",
"m12.2","m22","m22.2","m23","m24","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","s5xs3","s7xs3","s8xs3","s4xs4","s5xs4",
"s6xs4","s7xs4","s6xs5","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","2^2xl2(7)","a4x7:3","2^4:a5",
"3^(1+4)_+.2s4","2(a4xa4).2^2","3^2:2a4","(a7x3).2","(a5xa5):4",
"(a6xa4).2","(a8x3).2","(a7xa4):2","(a6xa5):2","(a9x3):2","3^3:l3(3)",
"3^4:2(a4xa4).2","(4xa6):2","(3x2s5).2","(3xu4(2)):2","3^4:2^3.s4(a)",
"(4^2x2)(2xs4)","(4^2x2)s4","(4^2x3):s3","(7:3x3):2","(7xl2(7)):2",
"(9x3).s3","(a5xa5):2^2","(a8xa4):2","(a7xa5):2","(s3xs3xa5):2","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)","2^6:(3xa5):2","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","2^4:s5","2.s4","23:11",
"2^3:sl(3,2)","2^4:(3xa5).2","2^4:a6","2^4:a7","2x2^3:l3(2)","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","m22.2m4","m8.s4","s4xs3","2xm11","2x3^2.2.s4","2^1+6.psl(3,2)",
"2^2.psl(3,4).s3","2^4.s6","2xa6.2^2","3^(1+4):2s5","3^(1+4):4s5",
"3^4:m10","4.2^4.s5","4^3:psl(3,2)","5:4xa5","5^2:4s5","7:3xpsl(3,2)",
"7^2:2psl(2,7)","s4xpsl(3,2)","3^4:(m10x2)","2^4.a8","2xm12","a4xs5",
"s3xpsl(2,8).3","2.[2^6]:(s3xs3)","2^5:s6","2^6:l3(2)","s3xs6","2xu3(3).2",
"(3xm10):2","11:10","13:6","19:18","19:6","2^(1+4).s5","2^(2+4):(s3xs3)",
"2^1+4b:a5","2^2+4.3xs3","2xa5","2xu3(3)","3^2.3^(1+2):8.2","5^2:d12",
"7:6","d6xd10","(2^2xa5):2","2^3.(s4x2)","l2(17)x2","a4xa5","a5xd10",
"j3m4","j3m6","(a4xa5):2","(a5xd10).2","l3(2).2x2","(3^(1+2)+x3^2):2s4",
"2^(1+4)+:3^2.2","a5xa5","2^(5+5):31","41:4","25:4","d62","(a6xa6):2^2",
"2.2^8.f20","2^2.2^8:s3","2^{1+6}:3^{1+2}:2a4","2^(4+4):(3xa5)","3^4:s5",
"4^2:s3","a5wc2","b33141","m24c2b","d120","h4","hed3","mo61","2^4:(s3xs3)",
"mo62","2^6:a8","s2wrs4","s2wrs5","s3wrs3","s4","s5wrs2","twd5a","w(f4)",
"3^(1+4):4s4","(3xa6).2_1","2^6:u4(2)","3^3.s4","3^4:a6","7^2:2.l2(7).2",
"m22.2m3","2^3.l3(2)","o8+(2)","o8-(2)","hs","hs.2","he","he.2","mcl",
"mcl.2","2^3.7.3","3^(1+2):d8","3^2.3^(1+2):8","3^2:q8","3^2:q8.2",
"5^(1+2):(24:2)","5^(1+2):(8.2)","5^(1+2):3:8","5^2:(4xs3)","5^2:4a4",
"7^(1+2):(s3x3)","5:4","s3x7:6","13:4","2^(3+3):7","2.s6(2)","s4(4)",
"s4(4).2","s4(5)","s6(2)","2f4(2)'","2f4(2)'.2","3d4(2)","u4(3)",
"u4(3).(2^2)_{133}","u4(3).2_1","u4(3).2_3","u3(3)","u3(3).2","u3(4)",
"u3(4).2","u3(5)","u3(5).2","u3(5).3","u3(5).3.2","u3(7)","u3(8)","u3(9)",
"2.u4(2)","2.u4(2).2","u3(11)","u4(2)","u4(2).2","u5(2)", ];
MakeImmutable( LIBLIST.TOM_TBL_INFO );
fi;
LIBLIST.projections := [
["(2^(1+8)x2^6):S6(2)","(2^6x2^8):S6(2)",[1,3,5,6,7,8,9,10,11,12,13,14,16,
18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,45,
47,48,49,50,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,69,71,72,74,75,76,
78,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,97,99,100,101,102,103,105,
106,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,
126,127,128,129,130,132,134,135,136,138,140,141,143,145,146,148,150,151,
152,154,156,157,158,160,162,163,164,165,167,169,171,173,174,175,176,177,
178,179,180,182,183,184,185,187,188,189,190,191,193,194,195,196,198,200,
202,203,205,206,208,209,210,212,213,]],
["(2x3^4:2^3).S4","3^4:2^3.S4(a)",[1,3,5,7,9,11,13,14,15,16,18,20,22,24,25,
26,27,28,30,32,34,36,38,40,41,43,44,45,47,48,49,50,52,54,55,56,58,60,62,]],
["(2xA6).2_3","A6.2_3",[1,3,5,7,9,11,13,15,]],
["(3.A6x2.A5).2","(a6xa5).2",[1,7,13,15,21,27,30,33,34,37,40,46,52,54,60,
66,72,78,80,82,88,94,100,103,106,109,115,121,127,133,139,]],
["(3.A6xA5):2","(a6xa5).2",[1,4,7,8,11,14,17,20,21,24,27,30,33,34,37,40,43,
46,47,48,51,54,57,60,63,66,69,72,75,78,81,]],
["(3^(1+2):4x2.A6).2","(3^2:4xa6).2",[1,7,9,15,21,24,25,28,31,37,39,45,51,
57,59,65,71,74,76,79,85,91,93,95,101,107,113,116,119,122,125,128,131,137,
143,149,]],
["(3^(1+2):4xA6).2","(3^2:4xa6).2",[1,4,5,8,11,14,15,18,21,24,25,28,31,34,
35,38,41,44,45,48,51,54,55,56,59,62,65,68,71,74,77,80,83,86,89,92,]],
["(3^2:4x2.A6).2","(3^2:4xa6).2",[1,3,5,7,9,10,11,12,13,15,17,19,21,23,25,
27,29,30,32,33,35,37,39,41,43,45,47,48,49,50,51,52,53,55,57,59,]],
["(3^2x2).U4(3).2_3'","3^2.U4(3).2_3'",[1,3,5,7,9,11,13,15,17,19,21,23,25,
27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,58,59,60,61,62,63,65,67,69,
71,73,75,77,79,81,83,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,
115,117,119,121,123,124,125,126,128,130,132,134,136,138,140,142,144,146,
148,150,152,154,156,157,158,159,160,161,162,164,166,168,170,171,172,173,
175,177,179,181,183,185,187,189,191,193,195,197,199,201,]],
["(A4x3.L3(4)).2","(a4xpsl(3,4)):2",[1,4,7,8,11,14,17,20,23,26,29,30,33,36,
39,42,45,48,51,52,55,58,61,64,67,70,73,76,79,82,85,86,87,90,93,96,99,102,
]],
["(A6x2.A5).2","(a6xa5).2",[1,3,5,7,9,11,12,13,14,15,16,18,20,22,24,26,28,
30,32,34,36,38,40,41,42,43,45,47,49,51,53,]],
["12.M22","M22",[1,13,19,23,29,32,44,50,62,74,86,98,]],
["12.M22M2","2^4:a6",[1,13,19,25,31,34,38,44,48,54,66,78,]],
["12_1.L3(4)","L3(4)",[1,13,19,23,29,32,35,47,59,71,]],
["12_1.U4(3)","U4(3)",[1,13,19,31,43,47,51,63,66,78,90,96,102,114,126,138,
150,162,166,170,]],
["12_2.L3(4)","L3(4)",[1,13,19,23,35,38,41,53,65,77,]],
["12_2.U4(3)","U4(3)",[1,13,19,31,35,39,43,55,58,70,82,88,94,106,118,130,
134,138,142,146,]],
["2.(2^2xSz(8)):3","(2^2xSz(8)):3",[1,3,5,7,9,11,13,15,16,17,18,19,20,21,
22,23,24,25,26,28,30,32,34,36,38,40,42,44,]],
["2.(A4xL3(4)).2","(a4xpsl(3,4)):2",[1,3,5,7,9,10,11,13,15,16,17,18,19,20,
21,22,23,25,27,29,31,32,33,35,37,39,41,42,43,44,45,46,48,49,51,52,54,55,]],
["2.(A4xU4(2))","A4xU4(2)",[1,3,4,5,7,9,11,13,15,16,18,20,22,23,24,26,27,
29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,
58,59,61,63,65,67,69,70,72,74,76,77,78,80,81,83,85,87,89,91,92,93,95,97,99,
101,103,104,106,108,110,111,112,114,115,117,119,121,]],
["2.(A5xA5).2^2","O8+(2)M16",[1,3,4,5,7,9,11,13,15,16,18,20,21,22,23,24,26,
28,30,31,33,35,37,39,40,]],
["2.(A5xA5).4","(A5xA5):4",[1,3,4,5,7,9,11,13,14,15,17,18,19,21,23,24,26,
27,28,30,32,34,]],
["2.(A6xA4).2","(A6xA4).2",[1,3,4,6,7,9,11,12,14,15,16,17,18,19,21,23,24,
26,28,30,31,32,33,34,35,36,37,38,40,]],
["2.(A6xA5).2","(A6xA5):2",[1,3,4,6,8,9,10,12,14,16,18,19,20,22,24,26,27,
28,29,30,31,32,34,36,38,40,41,42,43,44,45,46,47,48,49,50,52,54,55,57,]],
["2.(A7xA4).2","(A7xA4):2",[1,3,4,6,7,8,10,12,14,16,17,18,20,21,22,23,24,
25,26,28,29,31,32,34,36,38,39,40,41,42,43,44,45,46,47,48,49,51,53,]],
["2.2.2^4+6:S5","2.2^4+6:S5",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,30,
31,32,34,36,37,38,40,42,44,46,47,49,50,51,53,54,55,56,58,60,62,64,65,67,69,
71,73,75,76,77,79,80,82,]],
["2.2E6(2)","2E6(2)",[1,3,5,7,8,10,12,14,16,17,18,20,21,22,23,25,27,28,29,
31,32,33,34,36,38,40,42,44,46,47,49,51,53,55,57,58,60,61,62,64,65,66,67,69,
70,71,73,74,75,76,78,80,82,84,86,88,90,91,92,94,95,96,97,99,101,102,103,
105,106,107,109,110,111,113,115,117,119,121,123,124,125,126,127,129,131,
133,135,137,138,139,140,142,143,144,146,147,148,150,152,154,156,158,160,
162,164,166,168,170,172,174,176,178,180,181,183,184,185,187,188,189,191,
193,195,197,199,201,]],
["2.2E6(2).2","2E6(2).2",[1,3,5,7,8,10,12,14,16,17,18,20,21,22,24,26,27,29,
30,31,32,34,36,38,40,42,44,45,47,49,51,53,55,56,58,59,60,62,63,64,66,67,69,
70,71,73,75,77,79,81,83,84,85,87,88,89,91,93,94,96,97,99,100,101,103,105,
107,109,111,112,113,114,116,118,120,122,124,125,126,128,129,131,132,134,
136,138,140,142,144,146,148,150,152,154,156,158,159,161,162,164,165,167,
169,171,173,175,177,179,181,183,185,187,189,191,193,195,197,199,201,203,
204,206,208,210,211,213,214,215,216,217,218,220,221,223,225,227,229,231,
233,235,237,239,241,243,245,247,249,251,253,255,256,257,258,260,262,264,
266,268,270,272,273,275,277,278,279,280,282,283,285,286,287,289,291,293,
295,297,299,301,302,303,305,307,309,311,313,315,316,317,319,]],
["2.2^(1+8)_+:(S3xS3xS3)","2^(1+8)_+:(S3xS3xS3)",[1,3,4,6,7,8,10,11,12,13,
15,17,19,21,23,25,27,28,30,32,33,35,36,37,39,41,42,43,45,46,48,50,51,53,54,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,82,
83,84,85,87,89,90,92,93,95,97,99,101,102,103,105,106,107,108,109,110,111,
112,113,114,115,116,117,118,119,120,121,122,]],
["2.2^(2+8).(3xA5)","2^(2+8):(3xA5)",[1,3,5,7,8,10,11,12,14,16,17,19,21,22,
24,25,26,28,30,32,34,36,37,38,40,42,43,44,46,48,50,52,54,56,58,]],
["2.2^11:M24","2^11:M24",[1,3,5,6,8,9,11,12,13,15,16,17,18,19,20,22,24,26,
27,29,30,31,32,33,34,35,36,38,39,41,42,43,44,46,47,48,49,50,52,54,55,57,58,
60,61,62,64,65,66,67,69,71,73,75,77,78,80,81,82,83,84,86,88,89,90,91,92,93,
94,96,98,100,102,104,106,108,110,112,114,116,]],
["2.2^3+8:L3(2)","2^3+8:L3(2)",[1,3,5,7,8,10,12,13,14,16,17,19,21,23,25,26,
27,28,29,30,31,32,33,34,36,38,40,42,44,45,47,49,51,53,55,]],
["2.2^4.S6","2^4.s6",[1,3,5,7,9,10,12,14,16,17,19,21,23,24,26,28,29,30,32,
34,36,]],
["2.2^6:u3(3):2","2^6:u3(3):2",[1,3,5,7,9,10,12,14,16,18,19,21,22,23,25,27,
29,31,33,35,37,39,40,41,42,44,46,48,50,52,]],
["2.4^3.L3(2)","4^3:psl(3,2)",[1,3,5,7,8,10,11,12,13,15,17,19,21,23,24,25,
26,27,29,]],
["2.A10","A10",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,23,25,27,29,30,32,
34,36,38,]],
["2.A10.2","A10.2",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,23,24,26,27,28,
29,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,54,56,]],
["2.A11","A11",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,22,24,26,28,30,31,
33,35,36,37,39,40,42,44,46,48,]],
["2.A11.2","A11.2",[1,3,4,5,7,9,11,12,13,14,16,18,19,20,21,22,23,25,26,28,
29,31,32,33,34,35,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,60,61,62,63,64,66,67,69,71,73,]],
["2.A12","A12",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,28,
30,32,33,35,37,39,41,42,44,46,48,49,50,51,52,53,55,57,59,61,62,64,]],
["2.A12.2","A12.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,
28,29,31,32,33,35,37,38,39,41,42,43,44,45,46,48,50,51,53,54,56,57,58,59,60,
61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,
89,90,92,94,95,97,99,]],
["2.A13","A13",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,28,
29,30,32,33,35,37,39,41,42,43,45,47,48,49,50,51,52,54,56,58,59,61,63,65,66,
67,68,70,72,74,76,77,79,81,]],
["2.A13.2","A13.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,20,22,23,24,25,26,27,
28,29,30,32,33,34,36,38,39,40,41,43,44,45,46,47,48,49,51,52,54,56,58,59,60,
61,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,103,105,106,107,108,109,110,112,
113,114,115,116,117,119,121,123,125,127,]],
["2.A14.2","A14.2",[1,3,4,5,6,8,10,12,14,15,16,17,18,19,20,22,24,25,26,27,
28,29,30,31,32,33,34,36,38,39,40,41,43,45,46,47,48,49,51,52,53,54,55,56,57,
58,59,60,62,63,65,67,69,71,72,73,74,75,77,79,80,81,82,83,84,86,88,89,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,138,139,141,142,143,144,146,147,148,149,150,151,152,
153,155,157,159,161,162,164,165,167,]],
["2.A15.2","A15.2",[1,3,4,5,6,8,10,12,14,16,17,18,19,20,21,22,24,26,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,50,52,54,55,56,57,58,60,
61,62,63,64,65,66,67,68,69,70,71,73,74,75,77,79,81,83,85,86,87,88,89,90,92,
94,95,96,97,98,99,100,101,102,103,104,106,108,109,110,111,112,114,115,116,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,148,149,150,151,152,153,154,
156,157,158,159,160,161,162,163,164,165,166,168,169,171,172,173,175,176,
177,179,181,182,183,184,185,186,187,188,189,191,192,193,194,195,196,197,
198,199,201,202,203,204,205,206,207,209,211,212,213,215,]],
["2.A16.2","A16.2",[1,3,4,5,6,7,9,11,13,15,17,18,19,20,21,22,23,24,25,27,
29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,
58,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,
87,88,89,91,93,95,97,99,101,102,103,104,105,106,107,108,110,112,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,130,132,133,135,136,
137,138,140,142,143,144,145,147,148,149,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,212,213,215,
216,217,218,219,221,222,223,224,226,227,228,229,230,232,233,234,235,236,
238,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,256,257,
258,259,260,261,263,265,267,268,269,270,272,273,274,276,278,]],
["2.A17.2","A17.2",[1,3,4,5,6,7,9,11,13,15,17,18,19,20,21,22,23,24,25,27,
29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,
57,58,60,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,95,96,97,98,100,102,104,106,108,110,112,114,115,
116,117,118,119,120,121,122,123,124,126,128,130,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,155,157,
159,161,162,163,165,166,167,168,169,170,171,173,175,177,178,179,180,181,
182,183,185,186,187,188,190,191,192,193,194,195,196,197,198,199,200,201,
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,
256,257,258,259,260,261,262,263,264,266,267,268,269,270,271,272,273,274,
275,276,277,279,280,281,282,283,284,285,287,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,309,310,311,313,314,315,
316,317,318,319,320,322,324,325,327,328,329,330,331,332,334,336,338,340,
341,343,345,346,347,349,351,353,]],
["2.A18.2","A18.2",[1,3,4,5,6,7,9,11,13,15,17,19,20,21,22,23,24,25,26,27,
28,29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,58,60,61,62,63,64,65,66,67,69,71,73,75,77,78,79,80,81,82,83,84,85,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,116,117,118,119,120,122,124,126,128,130,132,134,136,
138,139,141,142,143,144,145,146,147,148,149,150,151,152,153,155,157,159,
161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,190,192,194,196,197,198,199,201,
202,203,204,205,206,207,208,209,210,212,214,216,217,218,219,220,221,222,
223,224,226,228,229,230,232,233,234,235,236,238,240,241,242,243,244,245,
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,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,344,346,347,348,349,350,351,352,353,354,355,356,
357,358,359,360,361,362,364,365,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,382,383,384,385,386,387,388,389,391,393,395,396,397,
398,399,400,401,402,403,404,405,406,407,408,410,411,413,414,415,416,417,
418,419,420,422,424,425,427,428,429,431,433,435,436,437,438,439,441,442,
444,446,447,449,451,453,]],
["2.A5","A5",[1,3,4,6,8,]],
["2.A5.2","A5.2",[1,3,4,6,8,9,11,]],
["2.A6","A6",[1,3,4,6,8,10,12,]],
["2.A6.2_1","A6.2_1",[1,3,4,6,8,9,11,12,13,14,16,]],
["2.A6.2_2","A6.2_2",[1,3,4,6,8,10,12,13,15,17,19,]],
["2.A7","A7",[1,3,4,6,8,10,12,13,15,]],
["2.A7.2","A7.2",[1,3,4,6,8,9,11,12,14,15,16,17,18,20,22,]],
["2.A8","A8",[1,3,4,5,7,9,10,11,13,14,16,18,20,22,]],
["2.A8.2","A8.2",[1,3,4,5,7,9,10,11,13,14,15,17,19,20,21,22,23,24,25,26,28,
30,]],
["2.A9","A9",[1,3,4,5,7,9,11,12,13,15,16,18,20,22,24,25,27,29,]],
["2.A9.2","A9.2",[1,3,4,5,7,9,11,12,13,15,16,17,19,21,22,23,25,26,27,28,29,
30,31,32,33,35,37,38,39,41,]],
["2.B","B",[1,3,4,6,7,8,10,12,13,14,15,16,18,19,20,21,22,23,25,27,28,29,31,
32,33,34,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,60,62,
63,65,66,68,69,71,73,74,75,76,77,78,80,81,82,83,85,86,87,88,90,91,92,93,94,
96,97,99,100,101,102,104,105,107,109,110,111,112,113,114,115,116,118,120,
121,122,124,125,127,128,130,131,132,133,134,135,136,138,139,140,141,143,
145,147,149,151,152,153,154,155,156,157,158,159,160,161,162,164,165,166,
168,169,170,172,173,174,175,176,178,179,180,181,183,184,186,188,190,192,
194,195,196,197,198,200,201,202,203,205,206,207,209,211,213,214,215,216,
217,219,220,221,222,224,226,228,230,232,233,234,236,238,239,240,241,242,
244,246,]],
["2.Co1","Co1",[1,3,5,6,7,9,11,13,15,17,18,20,21,22,23,25,27,29,31,32,34,
36,38,40,41,42,43,45,47,48,49,51,52,54,55,57,59,61,63,64,65,67,69,70,72,74,
75,76,78,80,81,82,84,86,87,89,90,91,93,94,96,98,100,102,104,106,107,109,
111,113,115,117,118,120,122,124,126,128,130,132,133,135,136,137,138,140,
141,143,145,147,148,149,151,153,155,157,159,161,163,165,166,]],
["2.D8","D8",[1,3,4,6,7,]],
["2.F4(2)","F4(2)",[1,3,5,7,9,11,13,15,17,18,19,21,23,25,27,28,29,31,33,35,
37,38,39,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,71,73,75,77,79,80,
81,82,83,85,87,89,91,93,95,97,99,100,101,103,105,107,109,111,113,115,117,
118,119,121,122,123,125,127,129,131,133,135,137,138,139,141,143,145,147,
149,151,153,155,157,159,161,163,165,167,169,]],
["2.F4(2).2","F4(2).2",[1,3,5,7,9,11,13,14,16,18,19,20,22,24,26,27,28,29,
31,33,35,37,39,41,43,45,47,48,50,52,53,54,55,57,59,61,63,65,66,68,70,72,74,
75,77,78,79,81,83,85,87,89,90,91,93,95,97,98,100,102,104,106,108,109,110,
111,112,113,114,116,117,119,120,121,122,123,125,126,127,129,131,132,134,
136,138,140,142,144,146,148,150,]],
["2.F4(2)M1","(2^(1+8)x2^6):S6(2)",[1,3,5,7,9,11,13,15,16,18,19,21,23,25,
27,29,31,33,35,37,39,41,42,44,45,47,48,49,51,53,55,57,59,61,62,63,65,67,68,
69,70,72,74,76,78,80,82,84,86,88,89,90,91,93,94,96,98,100,102,104,106,108,
110,111,112,114,116,118,120,122,124,125,127,129,131,133,135,137,139,141,
143,145,147,148,149,150,151,152,153,154,156,158,160,161,163,165,167,169,
171,173,175,176,177,179,181,183,185,187,188,189,191,192,194,195,197,199,
200,201,203,204,206,208,210,212,214,215,216,217,219,221,223,225,227,229,
231,233,235,237,239,241,243,245,247,249,251,253,255,257,259,261,262,264,
266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298,300,
302,304,306,308,310,312,314,316,318,320,322,324,325,326,327,328,329,331,
333,335,337,339,341,343,344,346,348,350,352,354,356,358,360,362,364,366,
368,370,372,373,374,375,376,378,]],
["2.F4(2)M5","[2^20]:(S3xL3(2))",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,28,
30,31,33,35,37,39,41,43,45,47,49,51,53,55,56,58,60,61,63,65,66,68,70,72,73,
74,76,78,79,81,83,84,86,87,88,89,90,92,94,96,98,100,102,104,106,108,110,
112,114,116,118,120,122,124,126,128,130,132,134,136,138,139,141,142,143,
145,147,149,151,153,155,157,159,161,163,165,167,169,171,173,175,177,179,
181,183,185,187,189,191,193,195,197,199,201,203,205,206,208,210,212,214,
216,218,220,222,224,225,227,229,231,233,235,237,239,241,243,245,246,248,
250,252,254,256,258,260,262,264,266,268,269,270,272,274,276,277,279,280,
282,284,286,288,290,291,293,294,295,297,299,301,303,305,307,309,311,313,
314,316,318,320,322,324,326,327,329,331,332,333,334,335,337,338,340,342,
344,346,348,349,350,351,352,353,354,355,356,357,359,361,363,365,367,369,
371,373,375,377,379,381,382,383,384,385,386,387,388,390,392,394,396,398,
399,400,401,402,403,404,406,408,410,412,414,416,418,420,422,424,426,428,
430,432,434,436,438,440,442,444,446,448,450,452,454,456,458,460,462,463,
465,467,469,470,471,473,475,477,479,480,482,484,486,488,490,492,494,496,
498,499,501,502,503,505,507,509,511,513,515,516,517,518,520,522,524,525,
527,528,529,530,531,533,535,537,539,541,543,544,545,546,547,548,550,552,
554,556,558,560,562,564,566,568,570,572,574,576,578,580,582,584,586,588,
589,590,591,592,594,596,598,600,602,603,604,606,608,610,612,614,616,617,
618,620,622,624,626,628,630,632,]],
["2.Fi22","Fi22",[1,3,5,7,8,10,12,14,16,17,19,20,22,23,25,27,29,31,33,35,
36,38,40,42,44,46,48,49,50,51,53,55,57,59,61,63,65,67,68,70,71,73,75,77,79,
80,81,83,85,87,89,91,93,94,95,97,99,101,103,105,107,109,111,112,113,]],
["2.Fi22.2","Fi22.2",[1,3,4,6,7,9,11,13,15,16,17,18,20,21,23,24,25,27,29,
30,31,32,34,36,37,39,41,42,43,44,45,47,49,51,52,54,56,57,59,60,61,63,65,66,
67,68,70,72,73,75,76,78,79,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,98,
100,101,102,103,104,105,107,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,129,130,131,132,134,135,136,138,139,140,
141,142,143,145,146,147,149,]],
["2.Fi22M5","2^10:m22",[1,3,5,7,8,10,11,13,14,15,17,18,19,20,21,22,23,24,
25,27,29,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,63,64,65,66,68,
]],
["2.G2(4)","G2(4)",[1,3,5,6,8,10,12,13,14,16,18,20,22,24,25,27,28,30,32,34,
35,36,38,39,40,42,44,46,48,50,52,54,]],
["2.G2(4).2","G2(4).2",[1,3,5,6,8,10,12,13,14,16,18,20,21,23,24,26,28,29,
31,32,33,35,37,39,41,42,43,45,46,47,48,50,51,52,54,56,58,60,62,64,]],
["2.HS","HS",[1,3,5,6,8,10,11,12,14,16,18,20,22,24,26,27,28,30,31,33,35,37,
39,41,]],
["2.HS.2","HS.2",[1,3,5,6,8,9,10,11,13,15,17,18,20,22,23,24,26,27,29,30,32,
34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,52,54,56,]],
["2.HS.2N5","HS.2N5",[1,3,5,7,9,11,13,14,15,17,19,20,22,24,26,27,29,30,32,
33,35,37,38,40,41,]],
["2.HSM10","4.2^4.S5",[1,3,5,7,8,10,11,12,14,16,18,20,22,24,26,28,30,32,34,
36,38,39,40,41,42,44,46,48,]],
["2.HSM11","2xa6.2^2",[1,3,5,7,9,11,12,13,15,16,17,19,20,21,22,23,25,26,27,
28,29,31,32,34,36,37,]],
["2.J2","J2",[1,3,5,6,8,10,12,14,16,18,20,22,23,25,27,28,29,31,33,35,37,]],
["2.J2.2","J2.2",[1,3,5,6,8,10,12,14,16,18,19,21,22,23,25,27,29,30,31,33,
34,36,37,39,41,43,45,]],
["2.L2(11)","L2(11)",[1,3,4,6,8,10,12,14,]],
["2.L2(11).2","L2(11).2",[1,3,4,6,8,10,12,14,15,17,19,21,23,]],
["2.L2(13)","L2(13)",[1,3,4,6,8,10,12,14,16,]],
["2.L2(13).2","L2(13).2",[1,3,4,6,8,10,12,14,16,17,19,21,23,25,27,]],
["2.L2(17)","L2(17)",[1,3,4,6,8,10,12,14,16,18,20,]],
["2.L2(17).2","L2(17).2",[1,3,4,6,8,10,12,14,16,18,20,21,23,25,27,29,31,33,
35,]],
["2.L2(19)","L2(19)",[1,3,4,6,8,10,12,14,16,18,20,22,]],
["2.L2(19).2","L2(19).2",[1,3,4,6,8,10,12,14,16,18,20,22,23,25,27,29,31,33,
35,37,39,]],
["2.L2(23)","L2(23)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,]],
["2.L2(23).2","L2(23).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,27,29,31,33,
35,37,39,41,43,45,47,]],
["2.L2(25)","L2(25)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,]],
["2.L2(25).2_1","L2(25).2_1",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,29,
31,33,35,37,39,41,43,45,47,49,51,]],
["2.L2(25).2_2","L2(25).2_2",[1,3,4,6,7,9,11,12,14,16,18,20,21,22,23,24,25,
27,]],
["2.L2(27)","L2(27)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,]],
["2.L2(27).2","L2(27).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,31,33,
35,37,39,41,43,45,47,49,51,53,55,]],
["2.L2(27).3","L2(27).3",[1,3,4,6,8,10,12,14,16,18,20,21,22,24,26,28,]],
["2.L2(27).6","L2(27).6",[1,3,4,6,8,10,12,14,15,17,19,21,23,25,27,29,30,31,
33,35,36,37,39,]],
["2.L2(29)","L2(29)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,]],
["2.L2(29).2","L2(29).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,33,
35,37,39,41,43,45,47,49,51,53,55,57,59,]],
["2.L2(3)","a4",[1,3,4,6,]],
["2.L2(31)","L2(31)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,]],
["2.L2(31).2","L2(31).2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,
35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,]],
["2.L2(49)","L2(49)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,
38,40,42,44,46,48,50,52,]],
["2.L2(49).2_1","L2(49).2_1",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,
32,34,36,38,40,42,44,46,48,50,52,53,55,57,59,61,63,65,67,69,71,73,75,77,79,
81,83,85,87,89,91,93,95,97,99,]],
["2.L2(49).2_2","L2(49).2_2",[1,3,4,6,8,10,11,13,15,16,17,19,21,23,25,27,
29,31,33,34,35,36,37,38,39,40,42,]],
["2.L2(81)","L2(81)",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,
38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,]],
["2.L2(81).2_1","L2(81).2_1",[1,3,4,6,8,10,12,14,15,16,17,18,20,22,24,26,
28,30,32,34,36,38,40,42,44,46,48,50,51,52,53,55,57,58,59,60,61,62,]],
["2.L2(81).2_2","L2(81).2_2",[1,3,4,6,8,10,12,14,16,18,20,22,24,26,28,30,
32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,
82,84,85,87,89,91,93,95,97,99,101,103,105,107,109,111,113,115,117,119,121,
123,125,127,129,131,133,135,137,139,141,143,145,147,149,151,153,155,157,
159,161,163,]],
["2.L2(81).4_1","L2(81).4_1",[1,3,4,6,8,9,11,12,13,15,17,19,21,23,25,27,29,
30,31,32,34,36,37,38,39,40,41,42,43,44,45,47,49,51,]],
["2.L3(2)","L3(2)",[1,3,4,6,8,10,]],
["2.L3(2).2","L3(2).2",[1,3,4,6,8,10,11,13,15,]],
["2.L3(4)","L3(4)",[1,3,5,7,9,10,11,13,15,17,]],
["2.L3(4).2_1","L3(4).2_1",[1,3,5,7,9,10,11,13,15,16,17,19,21,23,]],
["2.L3(4).2_2","L3(4).2_2",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,]],
["2.L3(4).2_3","L3(4).2_3",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,]],
["2.L4(3)","L4(3)",[1,3,4,5,7,9,11,13,15,17,18,20,21,22,24,25,26,28,30,32,
34,36,38,40,42,44,46,48,50,]],
["2.L4(3).2_1","L4(3).2_1",[1,3,4,5,7,9,11,13,15,16,18,19,21,22,24,26,28,
30,32,34,36,38,40,42,44,46,47,49,51,53,55,56,57,59,61,63,65,67,69,71,73,75,
77,]],
["2.L4(3).2_2","L4(3).2_2",[1,3,4,5,7,9,11,13,14,16,17,19,20,21,23,24,25,
26,28,30,31,32,33,35,37,39,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,59,
60,61,62,64,65,66,68,]],
["2.L4(3).2_3","L4(3).2_3",[1,3,4,5,7,9,11,12,14,15,17,18,20,21,22,24,25,
27,29,31,33,35,36,37,39,40,41,42,43,44,45,46,48,50,]],
["2.L4(5)","L4(5)",[1,3,5,7,9,11,12,14,16,18,20,22,24,26,28,30,32,34,36,38,
40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,
90,92,94,96,]],
["2.M12","M12",[1,3,4,6,8,10,11,12,14,15,17,19,21,23,25,]],
["2.M12.2","M12.2",[1,3,4,6,8,10,11,13,14,16,18,19,21,22,24,26,27,28,29,31,
33,]],
["2.M22","M22",[1,3,5,7,9,10,12,14,16,18,20,22,]],
["2.M22.2","M22.2",[1,3,5,7,9,10,12,14,16,18,19,21,23,24,26,27,29,30,32,34,
36,]],
["2.M22M2","2^4:a6",[1,3,5,7,9,10,12,14,16,18,20,22,]],
["2.M22M5","2^4:s5",[1,3,5,7,9,10,12,14,16,18,20,22,]],
["2.O10-(3)","O10-(3)",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,
36,38,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,
85,87,89,91,93,95,97,99,101,103,105,107,108,110,112,114,116,118,120,122,
124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158,
160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194,
196,197,199,200,201,203,205,207,209,211,213,214,216,218,220,222,224,226,
228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262,
264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298,
300,302,304,306,308,310,312,314,316,318,320,322,324,326,328,330,332,334,
336,338,340,342,344,346,348,350,352,354,356,358,360,362,364,366,368,370,
372,374,376,378,380,382,384,386,388,390,392,394,396,398,400,402,404,406,
408,410,412,414,416,418,420,422,424,426,428,430,432,434,436,438,440,442,
444,]],
["2.O7(3)","O7(3)",[1,3,4,5,6,8,10,12,14,16,18,20,21,23,24,25,27,28,29,30,
31,32,33,35,36,37,38,39,41,43,44,45,47,49,50,52,54,56,58,60,61,62,64,66,67,
68,69,71,73,74,76,78,80,82,83,84,86,87,]],
["2.O7(3).2","O7(3).2",[1,3,4,5,6,8,10,12,14,16,18,19,21,22,23,25,26,27,28,
29,30,31,33,34,35,36,37,39,40,41,43,44,46,48,50,52,53,54,56,58,59,60,61,63,
64,66,68,70,72,73,74,75,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,101,102,104,105,106,108,110,112,114,116,117,118,119,120,122,
123,124,125,127,129,131,133,135,137,139,]],
["2.O8+(2)","O8+(2)",[1,3,4,6,7,8,9,11,13,15,17,19,21,22,24,25,26,27,29,31,
33,35,36,37,39,40,41,43,44,45,46,48,49,50,51,53,54,56,58,60,62,64,65,66,68,
70,72,74,76,77,78,80,82,]],
["2.O8+(2).2","O8+(2).2",[1,3,4,6,7,8,10,12,14,16,18,19,21,22,23,25,27,29,
30,32,33,35,36,37,39,40,41,43,44,46,48,50,52,53,55,57,59,61,62,64,66,68,70,
72,73,75,76,77,79,81,83,85,87,89,91,92,93,95,97,99,100,101,103,105,107,109,
111,]],
["2.O8+(3)","O8+(3)",[1,3,5,6,7,8,10,12,14,16,18,20,22,24,26,28,30,32,34,
36,38,39,40,41,43,45,47,49,50,51,53,55,56,57,59,60,61,63,64,65,67,68,69,71,
72,73,75,77,79,81,82,83,84,85,87,89,90,92,94,96,98,100,102,104,106,108,110,
112,114,116,118,120,122,123,124,126,128,130,132,134,136,138,140,142,143,
145,147,149,151,153,154,155,157,158,159,161,163,165,167,169,171,173,175,
177,179,181,183,184,185,187,188,189,191,193,]],
["2.O8+(7)","O8+(7)",[1,3,5,6,7,8,10,12,14,16,18,20,22,24,26,28,30,32,34,
35,36,37,39,41,43,45,47,48,49,51,52,53,55,56,57,59,60,62,64,66,68,70,72,74,
76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116,
118,120,122,123,124,125,126,128,130,132,134,135,136,138,140,141,143,144,
145,147,149,151,153,155,156,157,159,161,163,165,167,169,171,173,175,177,
179,181,183,185,187,188,190,191,192,194,196,198,200,202,203,204,206,208,
210,211,212,213,214,216,218,219,220,221,222,224,226,228,230,232,233,234,
235,236,237,238,240,242,244,245,246,247,248,250,252,254,255,256,258,260,
262,264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,
298,300,302,304,306,308,310,312,314,316,318,320,322,324,326,328,330,332,
334,336,338,340,342,344,346,348,350,352,354,356,358,360,362,364,366,368,
370,372,374,376,378,380,382,384,386,388,390,392,394,396,398,400,401,402,
404,406,407,408,409,410,412,414,416,418,420,422,424,426,428,430,432,434,
436,438,440,442,444,446,448,450,452,454,456,458,460,462,464,466,468,470,
472,474,476,478,480,482,484,486,488,490,492,494,496,498,500,502,504,506,
508,510,512,514,516,518,520,522,524,526,528,530,532,534,536,538,540,542,
544,546,548,550,552,554,556,558,560,562,564,566,568,570,572,574,576,578,
580,582,584,586,588,590,592,594,596,598,600,602,604,605,607,609,610,611,
612,613,615,617,619,621,623,625,627,629,631,633,635,637,639,641,643,645,
647,649,651,653,655,657,659,661,663,665,667,669,671,673,675,677,679,681,
683,685,687,689,691,693,695,697,698,699,700,701,703,705,707,709,711,713,
714,715,716,717,719,720,721,723,725,727,729,731,733,735,737,739,741,742,
743,744,745,747,749,751,753,755,757,759,761,763,765,767,769,771,773,775,
777,779,781,783,785,787,789,791,793,795,797,799,801,803,805,807,808,809,
810,811,812,813,814,815,816,817,819,821,823,825,827,829,831,833,835,837,
839,841,843,845,847,849,851,853,855,857,859,861,863,865,867,869,871,873,
875,877,879,881,883,885,887,889,890,891,892,893,894,895,896,897,899,900,
901,903,905,907,909,911,913,915,917,919,921,923,925,927,929,931,933,935,
937,939,941,943,945,947,949,951,953,955,957,959,961,963,965,967,969,971,
973,975,977,979,981,983,985,987,989,991,993,995,997,999,1001,1003,1005,
1007,1009,1011,1013,1015,1017,1019,1021,1023,1025,1027,1029,1031,1033,1035,
1037,1039,1041,1043,1045,1047,1049,1051,1053,1055,1057,1059,1061,1063,1065,
1067,1069,1071,1073,1075,1077,1079,1081,1083,1085,1087,1089,1091,1093,1095,
1097,1099,1101,1103,1105,1107,1109,1111,1113,1115,1117,1119,1121,1123,1125,
1127,1129,1131,1133,1135,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,
1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,
1187,1189,1191,1193,1195,1197,1199,1201,1203,1205,1207,1209,1211,1213,1215,
1217,1219,1221,1223,1225,1227,1229,1231,1233,1235,1237,1239,1241,1243,1245,
1247,1249,1251,1253,1255,1257,1259,1261,1263,1265,1267,1269,1271,1273,1275,
1277,1279,1281,1283,1285,1287,1289,1291,1293,1295,1297,1299,1301,1303,1305,
1307,1309,1311,1313,1315,1317,1319,1321,1323,1325,1327,1329,1331,1333,1335,
1337,1339,1341,1343,1345,1347,1349,1351,1353,1355,1357,1359,1361,1363,1365,
1367,1369,1371,1373,1375,1377,1379,1381,1383,1385,1387,1389,1391,1393,1395,
1397,1399,1401,1403,1405,1407,1409,1411,1413,1415,1417,1419,1421,1423,1425,
1427,1429,1431,1433,1435,1437,1439,1441,1443,1445,1447,1449,1451,1453,1455,
1457,1459,1461,1463,1465,1467,1469,1471,1473,1475,1477,1479,1481,1483,1485,
1487,1489,1491,1493,1495,1497,1499,1501,1503,1505,1507,1509,1511,1513,1515,
1517,1519,1521,1523,1525,1527,1529,1531,1533,1535,1537,1539,1541,1543,1545,
1547,1549,1551,1553,1555,1557,1559,1561,1563,1565,1567,1569,1571,1573,1575,
1577,1579,1581,1583,1585,1587,1589,1591,1593,1595,1597,1599,1601,1603,1605,
1607,1609,1611,1613,1615,1617,1619,1621,1623,1625,1627,1629,1631,1633,1635,
1637,1639,1641,1643,1645,1647,1649,1651,1653,1655,1657,1659,1661,1663,1665,
1667,1669,1671,1673,1675,1677,1679,1681,1683,1685,1687,1689,1691,1693,1695,
1697,1699,1701,1703,1705,1707,1709,1711,1713,1715,1717,1719,1721,1723,1725,
1727,1729,1731,1733,1735,1737,1739,1741,1743,1745,1747,1749,1751,1753,1755,
1757,1759,1761,1763,1765,1767,1769,1771,1773,1775,1777,1779,1781,1783,1785,
1787,1789,1791,1793,1795,1797,1799,1801,1803,1805,1807,1809,1811,1813,1815,
1817,1819,1821,1823,1825,1827,1829,1831,1833,1835,1837,1839,1841,1843,1845,
1847,1849,1851,1853,1855,1857,]],
["2.O8-(3)","O8-(3)",[1,3,4,5,6,8,10,12,14,16,18,20,22,24,26,27,28,29,31,
32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,55,57,58,60,62,64,
66,68,70,72,74,75,76,78,80,82,84,86,88,90,92,94,95,96,97,98,100,102,103,
105,107,109,111,113,115,117,119,120,121,122,123,125,127,129,131,133,135,
137,139,141,143,145,147,149,151,153,155,157,159,161,163,165,167,169,171,
173,175,177,179,181,183,185,187,189,]],
["2.O9(3)","O9(3)",[1,3,4,5,6,7,9,11,13,15,17,19,21,23,25,27,28,30,32,33,
34,35,36,37,39,41,42,43,44,45,47,49,50,51,52,54,55,56,58,59,60,61,62,63,64,
65,66,67,68,69,70,72,74,75,76,77,78,79,81,82,84,85,86,87,89,90,91,92,94,95,
97,98,100,101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,
132,133,135,136,137,139,141,142,144,145,146,148,149,151,153,155,157,158,
160,161,163,164,165,166,167,168,170,171,172,174,175,177,178,180,181,183,
184,185,186,187,189,190,191,193,195,197,198,199,201,203,205,207,209,210,
211,213,215,216,217,218,219,221,222,223,224,226,228,229,230,231,232,233,
234,236,238,240,241,243,245,246,247,249,251,252,253,255,257,258,260,261,
262,263,264,265,266,268,270,272,273,274,275,276,277,279,281,282,284,285,
286,288,290,292,294,295,297,299,301,303,305,307,309,311,313,315,317,319,
321,323,325,]],
["2.Ru","Ru",[1,3,5,6,8,10,12,13,14,16,18,20,22,24,26,27,29,30,32,34,36,37,
38,39,41,43,45,47,49,51,53,55,56,57,58,60,]],
["2.S3","S3",[1,3,5,]],
["2.S4(5)","S4(5)",[1,3,4,5,7,9,11,12,14,16,18,20,22,24,26,27,28,30,32,33,
34,36,37,39,41,43,45,47,49,51,53,55,57,59,]],
["2.S4(5).2","S4(5).2",[1,3,4,5,7,9,11,12,14,16,18,20,22,23,24,26,27,28,29,
31,33,35,37,39,41,43,45,47,48,49,51,52,54,55,56,58,60,61,62,63,65,67,69,71,
73,75,77,]],
["2.S6(2)","S6(2)",[1,3,4,5,6,7,9,11,13,15,16,17,18,19,21,22,23,25,26,27,
28,29,31,32,34,36,38,39,40,42,]],
["2.S6(3)","S6(3)",[1,3,5,6,8,10,12,14,16,18,20,22,23,25,27,29,31,33,35,37,
39,41,43,45,47,49,51,52,54,56,57,59,61,62,64,66,68,70,72,74,76,78,80,82,84,
86,88,90,92,94,96,98,99,100,102,104,106,108,110,112,114,116,118,120,122,
124,126,128,130,132,134,136,138,140,]],
["2.S6(3).2","S6(3).2",[1,3,5,6,8,10,12,14,16,18,19,21,23,25,27,29,31,33,
35,37,38,40,41,43,45,46,48,50,52,54,56,58,60,62,64,66,68,69,70,72,74,76,78,
80,82,84,86,88,90,92,94,95,97,98,100,101,102,104,106,108,109,111,112,113,
115,117,119,121,123,125,127,129,131,133,135,137,]],
["2.Suz","Suz",[1,3,5,6,8,10,12,14,15,16,17,19,21,23,25,27,29,30,32,33,35,
36,38,40,42,43,45,47,49,50,52,54,56,58,59,61,63,65,67,69,71,73,75,]],
["2.Suz.2","Suz.2",[1,3,5,6,8,10,12,14,15,16,17,19,21,23,25,27,28,30,31,33,
34,36,38,39,41,43,45,46,47,48,50,51,53,55,57,59,61,62,63,64,65,66,67,68,69,
70,72,73,75,76,78,80,82,83,84,85,86,87,89,91,93,94,96,98,100,102,104,106,
]],
["2.SuzM11","3^2+4:2(2^2xa4)2",[1,3,5,7,9,11,13,15,17,19,21,23,25,26,28,30,
32,34,36,38,40,42,44,46,48,50,52,54,56,57,59,60,62,64,66,68,70,72,74,76,78,
80,82,84,86,88,90,92,94,]],
["2.SuzM4","2^1+6.u4q2",[1,3,5,7,9,11,12,13,15,16,17,18,19,21,23,25,27,29,
31,33,35,37,39,41,43,45,47,49,50,51,52,54,56,58,60,62,64,66,68,70,72,73,75,
76,78,80,82,84,85,87,89,91,93,95,97,99,101,]],
["2.SuzM7","2^4+6:3a6",[1,3,5,6,8,9,11,13,15,17,19,20,22,23,24,25,26,28,30,
32,33,35,37,38,40,41,43,45,47,49,51,53,55,57,58,59,61,63,65,67,69,70,72,74,
76,77,79,]],
["2.SuzM9","2^2+8(a5xs3)",[1,3,5,7,8,10,11,12,13,15,16,17,19,21,23,25,27,
29,30,32,34,36,38,40,41,43,44,46,48,50,52,54,55,56,57,58,59,61,63,64,65,67,
69,71,73,75,77,79,81,]],
["2.Symm(4)","Symm(4)",[1,3,4,6,7,]],
["2.Sz(8)","Sz(8)",[1,3,4,5,6,8,10,12,14,16,18,]],
["2.U4(2)","U4(2)",[1,3,4,5,7,9,11,13,15,16,18,20,22,23,24,26,27,29,31,33,
]],
["2.U4(2).2","U4(2).2",[1,3,4,5,7,9,11,13,14,16,18,19,20,21,23,25,26,27,29,
30,31,32,33,35,37,]],
["2.U4(3)","U4(3)",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,28,30,32,34,36,38,
]],
["2.U4(3).2_1","U4(3).2_1",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,28,30,32,
34,36,38,40,42,43,45,47,49,51,53,55,57,59,61,63,65,]],
["2.U4(3).2_2","U4(3).2_2",[1,3,5,7,9,11,13,15,16,18,20,22,24,26,27,29,31,
33,35,37,38,39,41,43,45,47,49,51,53,54,56,58,60,62,]],
["2.U4(3).2_3","U4(3).2_3",[1,3,5,7,9,11,13,14,16,18,20,22,23,25,27,29,30,
31,33,35,36,38,40,42,44,]],
["2.U4(3).4","U4(3).4",[1,3,5,7,9,11,13,14,16,18,20,22,24,26,28,30,32,34,
36,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,66,67,69,71,73,75,77,79,81,
83,85,87,89,91,93,95,97,99,101,]],
["2.U6(2)","U6(2)",[1,3,5,7,8,10,12,14,15,16,18,19,20,22,23,25,27,29,31,33,
35,37,39,41,43,44,46,47,48,50,52,54,56,58,60,61,62,64,65,66,68,69,70,72,74,
76,]],
["2.U6(2).2","U6(2).2",[1,3,5,7,8,10,12,14,15,16,18,19,21,22,24,26,28,30,
32,34,36,38,40,41,43,44,46,48,50,52,53,55,56,58,59,61,63,65,67,69,71,73,75,
77,79,81,83,85,87,88,89,90,92,94,96,98,100,102,104,106,107,108,110,112,114,
]],
["2.U6(2)M3","2^9.L3(4)",[1,3,5,7,8,10,12,13,14,15,17,18,19,20,22,24,26,28,
30,31,32,34,35,36,37,38,39,40,41,42,44,46,48,50,52,]],
["2^(1+12).3_1.U4(3).2_2'","2^12.3_1.U4(3).2_2'",[1,3,4,5,6,8,10,11,12,13,
14,15,17,19,21,22,23,25,26,27,28,29,31,32,34,35,36,38,39,40,41,43,44,45,47,
48,49,50,51,52,54,55,56,57,58,60,62,64,65,66,68,69,70,72,73,75,76,77,79,80,
82,84,86,87,88,90,92,93,95,97,98,99,100,102,104,106,108,109,111,112,113,
114,115,116,117,118,119,120,121,123,124,125,126,127,129,131,133,134,135,
137,138,139,141,142,143,144,145,147,148,149,150,151,152,154,155,156,157,
159,161,162,163,164,166,]],
["2^(1+6)_+.A8","2^6:A8",[1,3,4,5,6,7,9,10,11,12,13,15,16,17,19,20,21,23,
24,25,26,27,28,29,31,32,33,34,36,38,39,40,42,43,44,46,47,48,50,52,54,]],
["2^(1+8):S8","2^8:S8",[1,3,4,5,6,7,8,9,10,11,12,14,15,16,18,19,21,22,23,
24,26,27,28,29,30,31,33,34,36,37,39,41,42,44,45,46,47,48,50,52,53,55,56,58,
59,60,61,63,65,66,67,69,70,72,73,75,76,78,79,80,81,83,]],
["2^1+24.2.Co1","2^1+24.Co1",[1,3,5,7,9,11,13,15,17,19,21,23,25,27,28,30,
31,33,34,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,
78,80,81,82,84,86,88,90,92,94,96,98,100,102,103,104,106,107,108,110,111,
113,114,116,117,118,119,121,123,125,127,129,131,133,135,137,139,141,143,
145,147,149,151,153,155,157,159,161,163,165,167,169,171,173,175,177,179,
181,183,185,187,188,190,191,193,195,196,198,199,200,202,204,206,208,210,
212,214,216,218,220,221,223,224,225,227,229,231,233,235,237,238,239,241,
242,244,246,248,250,252,254,256,258,260,262,264,265,266,268,270,272,274,
276,278,280,282,284,286,288,290,292,293,295,297,299,301,303,305,307,309,
311,312,313,315,317,319,321,323,325,327,329,331,333,335,337,339,341,343,
345,347,349,351,353,355,356,357,359,361,363,365,367,369,371,373,375,377,
379,381,383,384,386,387,389,391,393,395,396,398,399,400,402,404,406,408,
410,412,414,416,418,420,422,424,426,428,430,432,434,436,438,440,442,444,
446,448,450,452,454,456,458,460,462,463,465,467,469,471,473,475,477,479,
481,483,485,487,489,491,493,495,496,498,500,502,504,506,508,510,512,514,
516,518,520,522,524,526,528,530,532,534,536,538,540,542,544,546,548,550,
552,554,556,558,560,562,564,565,567,569,570,572,574,576,578,580,582,584,
586,588,590,592,594,596,598,600,602,604,606,608,610,612,614,616,618,620,
622,624,626,628,630,632,634,636,638,640,642,644,646,648,650,652,654,]],
["2^1+24.Co1","2^24.Co1",[1,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,23,25,26,27,28,30,31,32,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,77,78,79,
81,82,84,85,86,88,89,90,92,93,94,95,96,97,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,114,116,117,118,119,120,121,122,123,124,125,126,
128,129,130,131,132,133,134,135,137,138,139,140,141,142,143,144,145,146,
147,148,150,152,153,155,156,157,159,160,161,162,164,165,166,168,169,170,
171,172,173,174,175,177,178,179,180,181,183,184,185,187,188,190,191,192,
193,194,195,196,198,199,200,201,202,204,205,206,207,208,209,210,211,212,
214,215,216,217,218,219,220,222,223,225,226,227,228,229,230,231,232,233,
235,237,239,241,242,243,244,245,247,248,249,250,251,252,253,255,256,257,
259,261,262,264,265,267,268,269,270,272,273,274,275,277,279,281,282,283,
284,286,287,288,289,291,292,293,294,296,297,298,299,300,302,303,304,305,
306,307,308,310,311,312,313,314,316,317,318,319,321,323,324,325,327,328,
329,330,332,333,334,335,337,339,341,343,345,347,348,]],
["2^1+8.2.A9","2^1+8.a9",[1,3,5,7,9,11,12,14,15,16,18,20,22,24,26,28,30,32,
34,36,38,40,41,43,44,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,
81,83,85,87,89,91,93,95,97,]],
["2^12.3^2.U4(3).2_2'","2^12.3_1.U4(3).2_2'",[1,4,7,10,13,16,19,22,25,28,
31,34,37,40,43,46,49,50,53,54,55,56,57,58,61,64,67,68,69,70,71,74,77,80,83,
86,89,92,95,98,101,104,107,110,113,116,119,122,125,128,131,134,137,140,143,
146,149,152,155,158,161,164,167,170,173,176,177,178,179,180,183,184,185,
188,191,194,197,200,203,206,209,212,215,218,221,224,227,230,233,236,239,
242,245,248,251,254,257,260,263,266,269,270,271,274,275,276,277,278,279,
280,283,286,289,292,295,298,301,304,307,310,313,316,319,]],
["2^{1+4}_-:2A5","2^1+4b:a5",[1,3,5,7,9,10,12,14,16,18,20,22,24,26,28,30,
]],
["2^{3+4}:(3xS3)","2^2+4.3xs3",[1,3,5,6,8,10,12,14,16,18,20,21,23,24,26,28,
30,32,34,36,]],
["2_1.O12+(3)","O12+(3)",[1,3,5,6,7,9,10,12,14,16,18,20,22,24,26,28,30,32,
34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,63,64,66,68,70,72,74,76,78,80,
82,83,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,115,116,118,
120,122,124,126,128,130,132,134,136,138,139,140,141,142,143,145,147,149,
151,152,153,155,157,159,161,163,165,167,169,171,173,175,177,179,181,183,
185,187,188,189,191,193,195,196,197,199,201,203,205,207,209,211,213,215,
216,217,218,220,222,224,226,228,229,231,232,233,235,236,238,239,241,243,
245,247,249,251,253,255,257,259,261,263,265,267,269,271,273,275,277,279,
281,283,285,287,289,291,293,295,297,299,301,303,305,307,309,311,313,315,
317,319,321,323,325,327,329,331,333,335,337,339,341,343,345,347,349,351,
352,353,354,356,358,360,362,364,366,368,370,372,374,376,378,380,382,384,
386,388,390,392,394,396,398,400,402,404,406,408,410,412,414,416,418,420,
422,424,426,427,429,431,433,435,436,438,440,442,444,446,448,450,452,454,
456,458,460,462,464,466,468,470,472,474,476,478,480,481,482,484,486,488,
490,492,494,496,498,499,501,503,505,507,509,511,513,515,517,518,519,520,
521,523,525,526,527,529,531,533,534,536,538,540,542,544,546,548,550,551,
552,553,554,556,558,560,562,564,566,568,570,572,574,576,578,580,582,584,
586,588,590,592,594,596,598,599,600,601,602,604,606,608,610,612,614,616,
618,620,622,624,626,628,630,632,634,636,638,640,642,644,645,646,647,649,
651,653,655,657,659,661,663,665,667,669,671,673,675,677,679,681,683,684,
685,687,689,691,693,695,697,699,701,703,705,707,709,711,713,714,715,716,
717,719,721,723,725,727,729,731,733,735,737,739,741,743,745,747,749,751,
753,755,757,759,761,763,764,765,766,767,768,769,771,773,775,777,779,781,
783,785,787,789,791,793,795,796,797,798,799,801,803,805,807,809,811,813,
815,817,818,820,822,824,826,828,830,832,834,836,838,840,842,844,846,848,
849,850,852,854,856,858,860,862,864,866,867,868,870,871,872,874,876,878,
880,882,884,886,888,890,891,892,893,894,895,897,899,901,903,904,906,908,
910,912,914,915,916,917,918,920,922,924,926,928,930,932,934,936,938,940,
942,944,946,948,950,952,954,956,958,960,962,964,966,968,970,972,974,976,
978,980,982,984,986,988,990,992,994,996,998,1000,1002,1004,1006,1008,1009,
1010,1012,1014,1016,1018,1020,1022,1024,1026,1028,1030,1032,1034,1036,1038,
1040,1042,1044,1046,1048,1050,1052,1054,1056,1058,1060,1062,1064,1066,1068,
1070,1072,1074,1076,1078,1080,1082,1083,1085,1087,1089,1091,1093,1095,1097,
1099,1101,1103,1105,1107,1109,1111,1113,1115,1117,1119,1121,1123,1125,1127,
1129,1131,1133,1135,1137,1139,1141,1143,1145,1147,1149,1151,1152,1153,1155,
1157,1159,1161,1163,1165,1167,1169,1171,1173,1175,1177,1179,1181,1183,1185,
1187,1189,1191,1193,1195,1197,1199,1201,1203,1205,1207,1209,1211,1213,1215,
1217,1219,1221,1223,1225,1227,1229,1231,1233,1235,1237,1239,1241,1243,1245,
1247,1249,1251,1253,1255,1257,1259,1261,1263,1265,1267,1269,1271,1273,1275,
1277,1279,1281,1283,1285,1287,1289,1291,1293,1295,1297,1299,1301,1303,1305,
1307,1309,1311,1313,1315,1317,1319,1321,1323,1325,1327,1329,1331,1333,1335,
1337,1339,1341,1343,1345,1347,1349,1351,1353,1355,1357,1359,1361,1363,1365,
1367,1369,1371,1373,1375,1377,1379,1381,1383,1385,1387,1389,1391,1393,1395,
1397,1399,1401,1403,1405,1407,1409,1411,1413,1415,1417,1419,1421,1423,1425,
1427,1429,1431,1433,1435,1437,1439,1441,1443,1445,1447,1449,1451,1453,1455,
1457,1459,1461,1463,1465,1467,1469,1471,1473,1475,1477,1479,1481,1483,1485,
1487,1489,1491,1493,1495,1497,1499,1501,1503,1505,1507,1509,1511,1513,1515,
1517,1519,1521,1523,1525,1527,1529,1531,1533,1535,1537,1539,1541,1543,1545,
1547,1549,1551,1553,1555,1557,1559,1561,1563,1565,1567,1569,1571,1573,1575,
1577,1579,1581,1583,1585,1587,1589,1591,1593,1595,1597,1599,1601,1603,1605,
1607,1609,1611,1613,1615,1617,1619,1621,1623,1625,1627,1629,1631,1633,1635,
]],
["2x7:3","7:3",[1,3,5,7,9,]],
["3.2E6(2)","2E6(2)",[1,4,7,10,13,16,17,18,21,24,27,30,33,36,39,42,45,48,
51,54,57,60,63,66,69,70,73,76,79,82,85,86,87,90,93,96,99,102,105,108,111,
114,117,120,123,126,129,132,135,138,141,144,145,148,151,154,157,160,163,
164,167,170,173,174,177,180,183,186,189,192,195,198,201,204,205,206,207,
208,211,214,217,220,223,226,229,232,235,238,241,244,247,250,253,256,259,
262,265,268,271,274,277,278,281,284,287,290,293,294,297,300,303,304,305,
308,311,314,317,320,323,326,329,332,335,338,341,344,]],
["3.2^(1+12).3U4(3).2","2^12.3_1.U4(3).2_2'",[1,7,10,13,16,22,28,31,34,37,
40,43,49,55,61,64,67,69,72,73,74,75,77,78,84,87,90,92,93,94,95,101,104,107,
113,116,119,122,125,128,134,137,140,143,146,152,158,164,167,170,176,179,
182,188,191,197,200,203,209,212,218,224,230,233,236,242,244,245,247,249,
252,253,254,260,266,272,278,281,287,290,293,296,299,302,305,308,311,314,
317,323,326,329,332,335,341,347,353,356,359,365,368,369,371,374,375,376,
377,379,380,381,384,387,390,396,399,402,405,411,417,420,423,426,432,]],
["3.2^(2+4):(3x3):2","2^(2+4):(3x3):2",[1,4,7,10,13,16,17,18,19,20,23,26,
29,32,35,38,41,]],
["3.2^4:a7","2^4:a7",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,]],
["3.3^(1+4):2S5","3^(1+4):2S5",[1,4,7,8,11,14,17,20,23,26,27,28,31,34,37,
40,43,46,49,52,55,58,61,64,]],
["3.3^(2+4):2(A4x2^2).2","3^2+4:2(2^2xa4)2",[1,4,7,10,13,14,17,20,23,26,29,
32,35,38,39,42,45,48,51,54,57,60,63,66,69,72,73,74,77,80,83,86,89,92,95,98,
101,104,107,110,113,116,119,122,125,128,131,134,137,]],
["3.3^4.3^2.Q8","3^4.3^2.Q8",[1,4,7,8,11,14,15,16,17,18,19,22,25,28,31,34,
37,40,43,46,49,]],
["3.3^5.U4(2)","3^5.U4(2)",[1,4,7,8,9,12,13,16,19,22,25,26,27,28,29,32,35,
36,37,38,39,42,43,44,47,50,53,56,59,60,61,64,67,68,71,74,75,76,77,78,79,80,
81,82,83,84,85,]],
["3.A6","A6",[1,4,7,8,9,12,15,]],
["3.A6.2_3","A6.2_3",[1,4,7,8,11,14,17,20,]],
["3.A7","A7",[1,4,7,8,9,12,15,18,21,]],
["3.F3+","F3+",[1,4,7,10,11,14,17,18,19,22,25,28,31,34,37,40,41,44,47,50,
53,56,57,58,61,64,67,70,73,74,77,78,79,80,83,86,89,92,93,96,97,100,103,104,
107,110,111,112,115,118,121,124,127,130,133,136,139,142,145,146,149,150,
153,154,157,160,163,166,169,170,171,174,177,180,183,186,187,188,189,190,
193,196,199,202,203,204,205,208,211,214,217,220,223,226,229,230,231,232,
235,236,237,238,239,242,245,248,251,254,]],
["3.Fi22","Fi22",[1,4,7,10,13,16,17,18,19,22,25,28,31,34,37,40,43,46,49,50,
53,54,55,58,59,60,63,66,69,72,75,78,79,80,83,86,89,92,95,98,101,104,105,
106,107,110,113,116,117,120,123,126,129,132,135,138,141,142,145,148,151,
154,157,160,163,]],
["3.Fi22M5","2^10:m22",[1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,46,49,52,
55,58,61,64,65,66,67,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113,
116,119,]],
["3.G2(3)","G2(3)",[1,4,7,8,9,10,11,12,15,18,19,20,21,22,25,28,31,32,33,34,
37,40,43,]],
["3.J3","J3",[1,4,7,10,11,14,17,20,23,26,27,28,29,32,35,38,41,44,47,50,53,
]],
["3.L3(4)","L3(4)",[1,4,7,8,11,14,17,20,23,26,]],
["3.L3(4).2_1","L3(4).2_1",[1,4,7,8,11,14,17,20,23,26,29,30,33,36,]],
["3.L3(4).3","L3(4).3",[1,4,7,8,11,14,17,20,23,26,29,30,31,34,37,40,43,46,
49,52,55,58,]],
["3.L3(4).6","L3(4).6",[1,4,7,8,11,14,17,20,23,24,27,30,33,34,35,38,41,44,
47,50,53,56,59,60,61,64,]],
["3.L3(7)","L3(7)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,
56,59,62,]],
["3.L3(7).3","L3(7).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,
53,56,59,62,65,66,67,70,73,76,79,82,85,88,91,94,97,100,103,106,109,112,115,
118,121,124,127,130,133,136,139,142,145,148,151,154,157,160,163,166,]],
["3.M22","M22",[1,4,7,8,11,14,17,20,23,26,29,32,]],
["3.M22M2","2^4:a6",[1,4,7,10,13,16,17,20,21,24,27,30,]],
["3.McL","McL",[1,4,7,10,11,14,17,20,23,26,29,32,35,36,37,40,43,46,49,52,
55,58,61,64,]],
["3.O7(3)","O7(3)",[1,4,7,10,13,14,17,18,19,20,21,22,25,28,31,34,37,40,43,
44,47,48,51,52,55,58,59,60,61,62,63,64,65,68,71,74,77,78,79,80,83,86,87,88,
91,94,97,98,99,102,105,108,111,114,117,120,121,124,]],
["3.ON","ON",[1,4,7,8,11,14,17,18,21,24,27,30,33,36,37,40,41,42,45,48,51,
54,57,60,63,66,69,72,75,78,]],
["3.ONM5","ONM5",[1,4,5,8,11,14,15,18,21,22,23,24,25,26,27,30,31,34,37,40,
41,42,45,48,51,54,57,60,63,66,]],
["3.Suz","Suz",[1,4,7,10,13,16,17,20,23,26,29,32,35,38,41,44,47,48,51,54,
57,60,63,66,69,72,75,78,81,84,85,88,91,94,97,98,99,102,105,108,111,114,117,
]],
["3.U3(11)","U3(11)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,
56,59,62,65,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113,116,119,
122,125,128,131,134,137,140,]],
["3.U3(11).3","U3(11).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,44,47,
50,53,56,59,62,65,68,71,74,77,80,83,86,89,92,95,98,101,104,107,110,113,116,
119,122,125,128,131,134,137,140,143,144,145,148,151,154,157,160,163,166,
169,172,175,178,181,184,187,190,193,196,199,202,205,208,211,214,217,220,
223,226,229,232,235,238,241,244,247,250,253,256,259,262,265,268,271,274,
277,280,283,286,289,292,295,298,301,304,307,310,313,316,319,322,325,328,
331,334,337,340,343,346,349,352,355,358,361,364,367,370,373,376,379,382,
385,388,391,394,397,400,]],
["3.U3(5)","U3(5)",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,]],
["3.U3(5).3","U3(5).3",[1,4,7,8,11,14,17,20,23,26,29,32,35,38,41,42,43,46,
49,52,55,58,61,64,67,70,73,76,79,82,85,88,91,94,]],
["3.U3(8)","U3(8)",[1,4,7,10,13,14,17,20,23,26,29,32,35,38,41,44,47,50,53,
56,59,62,65,68,71,74,77,80,]],
["3.U3(8).3_1","U3(8).3_1",[1,4,7,8,9,10,13,16,19,20,21,24,27,30,33,36,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,59,62,65,68,]],
["3.U3(8).3_2","U3(8).3_2",[1,4,7,10,13,14,17,20,23,26,29,32,35,38,41,44,
47,50,53,56,59,62,65,68,71,74,77,78,79,82,85,88,91,94,97,100,103,106,109,
112,115,118,121,124,127,130,133,136,139,142,145,148,151,154,157,160,163,
166,169,172,175,178,181,184,187,190,193,196,199,202,205,208,211,214,217,
220,]],
["3.U6(2)","U6(2)",[1,4,7,10,13,16,19,20,23,26,29,32,35,38,41,44,47,50,53,
56,59,62,65,66,69,72,75,78,81,84,87,88,91,94,97,100,103,106,109,112,115,
118,121,124,127,130,]],
["3.U6(2).3","U6(2).3",[1,4,7,10,13,16,19,20,23,26,29,32,35,38,41,44,47,50,
53,56,59,60,63,66,69,72,75,76,79,82,85,88,91,94,97,100,103,106,109,112,115,
118,121,124,127,130,133,134,135,138,141,144,147,150,153,156,159,162,165,
168,171,174,177,180,183,186,189,192,195,196,197,200,203,204,205,208,211,
214,217,220,223,226,229,232,235,238,241,244,247,250,253,256,259,262,265,
268,271,274,277,280,283,286,289,292,295,298,301,304,307,310,313,316,319,
322,]],
["3.U6(2)M3","2^9.L3(4)",[1,4,7,10,13,16,19,22,25,28,31,34,37,40,41,42,45,
48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99,]],
["3^(1+2)_+","3^2",[1,4,5,6,7,8,9,10,11,]],
["3^(1+2)_+:2","3^2:2",[1,4,5,6,7,8,]],
["3^(1+2)_+:Q8","3^2:Q8",[1,4,7,8,11,14,]],
["3^(1+4).2U4(2)","3^4.2U4(2)",[1,4,5,8,11,12,15,18,19,20,23,26,27,28,31,
34,35,36,39,42,43,44,45,48,51,52,55,58,61,64,67,68,71,72,75,76,79,80,83,84,
87,88,91,92,95,96,99,102,103,106,109,110,113,116,117,120,123,124,]],
["3^2.U4(3).2_3'","3_2.U4(3).2_3'",[1,4,7,10,13,16,19,22,23,26,29,32,35,38,
41,44,47,50,53,56,59,62,65,68,71,74,77,80,83,86,89,90,93,96,99,102,105,108,
]],
["3^5:M10","3^4:m10",[1,4,7,8,11,14,17,18,19,20,21,22,25,28,31,34,37,40,]],
["3^6.M11","3^5:M11",[1,4,7,10,13,16,19,22,25,28,29,32,35,38,41,44,47,50,
53,56,59,62,65,68,]],
["3_1.U4(3)","U4(3)",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,42,45,48,
49,50,]],
["3_1.U4(3).2_2","U4(3).2_2",[1,4,7,10,13,14,15,18,21,24,27,30,33,36,39,42,
45,46,49,52,55,58,61,64,67,70,73,74,75,78,81,84,87,90,]],
["3_2.U4(3)","U4(3)",[1,4,7,10,11,12,13,16,19,22,25,28,31,34,37,40,41,42,
43,44,]],
["3_2.U4(3).2_3","U4(3).2_3",[1,4,7,10,11,12,15,18,21,24,27,30,33,34,35,38,
41,44,45,48,51,54,57,60,63,]],
["4.A6.2_3","(2xA6).2_3",[1,3,4,5,6,8,10,11,13,15,17,18,19,20,21,22,]],
["4.M22","M22",[1,5,7,11,13,14,18,20,24,28,32,36,]],
["4.M22M2","2^4:a6",[1,5,7,9,11,12,16,18,22,24,28,32,]],
["4.M22M5","2^4:s5",[1,5,7,9,11,12,16,20,22,24,26,30,]],
["4.M22M6","2x2^3:L3(2)",[1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,23,
25,27,29,31,]],
["4.U4(3)","U4(3)",[1,5,7,11,15,19,23,27,28,32,36,38,40,44,48,52,56,60,64,
68,]],
["4.U4(3).2_1","U4(3).2_1",[1,5,7,11,15,19,23,27,28,32,36,38,40,44,48,52,
56,60,64,68,70,74,75,79,81,83,87,91,95,99,103,107,111,115,]],
["4.U4(3).4","U4(3).4",[1,5,7,11,15,19,23,24,28,32,34,38,42,46,50,54,58,60,
64,65,69,71,75,79,83,87,91,95,99,103,107,111,115,119,120,121,125,129,131,
133,137,141,145,149,153,157,161,165,169,173,177,181,185,]],
["4_1.L3(4)","L3(4)",[1,5,7,11,13,14,15,19,23,27,]],
["4_1.L3(4).2_3","L3(4).2_3",[1,5,7,11,13,14,18,22,26,30,34,36,38,42,]],
["4_2.L3(4)","L3(4)",[1,5,7,11,15,16,17,21,25,29,]],
["4_2.L3(4).2_2","L3(4).2_2",[1,5,7,11,15,16,20,24,28,32,34,38,42,46,]],
["6.2E6(2)","2E6(2)",[1,7,13,19,22,28,30,32,38,41,44,50,53,56,59,65,71,74,
77,83,86,89,92,98,104,106,112,118,124,127,133,135,137,143,149,152,158,161,
164,170,173,176,179,185,188,191,197,200,203,206,212,218,220,226,232,238,
244,247,250,252,255,258,261,263,269,272,275,281,284,287,293,296,299,305,
307,309,311,313,319,322,325,328,331,337,343,349,355,361,364,367,370,376,
379,382,388,391,394,400,406,412,418,420,426,432,438,444,450,452,458,464,
470,472,474,477,483,486,489,495,498,501,507,513,519,525,531,537,]],
["6.A6","A6",[1,7,10,12,14,20,26,]],
["6.A7","A7",[1,7,10,12,14,20,26,29,35,]],
["6.Fi22","Fi22",[1,7,13,19,22,28,30,32,34,37,43,46,52,55,61,67,73,79,85,
87,90,92,94,100,102,104,110,113,116,119,125,131,133,135,141,147,153,159,
162,168,171,177,179,181,183,186,189,195,197,203,209,215,221,224,227,233,
239,241,247,253,259,265,271,274,277,]],
["6.Fi22M5","2^10:m22",[1,7,13,19,22,28,31,37,40,43,49,52,55,58,61,64,67,
70,73,79,85,88,90,92,94,96,102,108,114,120,126,132,138,144,150,156,162,168,
171,174,177,180,186,]],
["6.L3(4)","L3(4)",[1,7,13,15,21,24,27,33,39,45,]],
["6.L3(4).2_1","L3(4).2_1",[1,7,13,15,21,24,27,33,39,42,45,47,53,59,]],
["6.M22","M22",[1,7,13,15,21,24,30,36,42,48,54,60,]],
["6.M22M2","2^4:a6",[1,7,13,19,25,28,30,36,38,44,50,56,]],
["6.O7(3)","O7(3)",[1,7,10,13,16,18,24,26,28,30,32,34,37,43,46,49,55,58,61,
62,65,66,69,71,74,77,78,79,81,83,84,85,87,93,96,102,108,110,112,114,117,
120,122,124,127,130,133,135,137,140,146,152,158,164,167,170,172,175,]],
["6.Suz","Suz",[1,7,13,16,22,28,30,36,39,42,45,51,57,63,69,75,81,82,88,91,
97,100,106,112,118,121,127,133,139,142,144,150,156,162,165,167,169,175,181,
187,193,199,205,]],
["6.SuzM11","3^2+4:2(2^2xa4)2",[1,7,13,19,25,27,33,39,45,51,57,63,69,72,74,
80,86,92,98,104,110,116,122,128,134,140,142,144,150,153,159,162,168,174,
180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,]],
["6.SuzM8","(a4xpsl(3,4)):2",[1,7,13,15,21,24,27,33,39,42,45,46,49,52,55,
58,61,67,73,75,81,84,87,93,99,105,111,114,117,120,123,124,126,129,135,138,
144,147,]],
["6.U6(2)","U6(2)",[1,7,13,19,22,28,34,36,39,42,48,51,54,60,63,69,75,81,87,
93,99,105,111,113,119,122,128,131,134,140,146,148,154,160,166,169,172,178,
181,184,190,193,196,202,208,214,]],
["6.U6(2)M3","2^9.L3(4)",[1,7,13,19,22,28,34,37,40,43,49,52,55,58,60,62,68,
74,80,83,86,92,95,98,101,104,107,110,113,116,122,128,134,140,146,]],
["6_1.U4(3)","U4(3)",[1,7,13,19,25,27,29,35,38,44,50,56,62,68,74,80,86,92,
94,96,]],
["6_1.U4(3).2_2","U4(3).2_2",[1,7,13,19,25,27,29,35,38,44,50,56,62,68,71,
77,83,85,91,97,100,103,109,115,121,127,133,135,137,140,146,152,158,164,]],
["6_2.U4(3)","U4(3)",[1,7,13,19,21,23,25,31,34,40,46,52,58,64,70,76,78,80,
82,84,]],
["6_2.U4(3).2_3","U4(3).2_3",[1,7,13,19,21,23,29,32,38,44,50,56,59,61,63,
69,72,75,77,83,86,92,98,104,110,]],
["O8+(3)M27","(A4wr2^2):2",[1,3,4,5,6,7,8,9,11,12,14,15,17,18,20,22,23,24,
26,28,29,30,32,33,35,36,37,39,40,42,44,45,46,47,48,49,50,51,53,54,55,56,58,
60,61,62,64,65,66,67,69,70,71,72,74,75,76,77,79,81,83,85,86,87,89,91,93,94,
96,97,99,100,102,103,105,106,108,109,110,112,114,116,118,120,121,123,124,
126,127,128,130,131,133,134,136,]],
["Q8","V4",[1,3,4,5,]],
];
MakeImmutable( LIBLIST.projections );
LIBLIST.simpleInfo := [
[ "2", "A10", "2" ],
[ "2", "A11", "2" ],
[ "2", "A12", "2" ],
[ "2", "A13", "2" ],
[ "2", "A14", "2" ],
[ "2", "A5", "2" ],
[ "6", "A6", "2^2" ],
[ "6", "A7", "2" ],
[ "2", "A8", "2" ],
[ "2", "A9", "2" ],
[ "2", "A15", "2" ],
[ "2", "A16", "2" ],
[ "2", "A17", "2" ],
[ "2", "A18", "2" ],
[ "2", "A19", "2" ],
[ "2", "F4(2)", "2" ],
[ "3", "G2(3)", "2" ],
[ "2", "G2(4)", "2" ],
[ "", "G2(5)", "" ],
[ "", "G2(7)", "" ],
[ "", "R(27)", "3" ],
[ "", "Sz(32)", "5" ],
[ "2^2", "Sz(8)", "3" ],
[ "2", "Co1", "" ],
[ "", "Co2", "" ],
[ "", "Co3", "" ],
[ "", "J1", "" ],
[ "2", "J2", "2" ],
[ "3", "J3", "2" ],
[ "", "J4", "" ],
[ "", "E6(2)", "2" ],
[ "", "F4(3)", "" ],
[ "6", "Fi22", "2" ],
[ "3", "F3+", "2" ],
[ "", "Fi23", "" ],
[ "2", "L2(11)", "2" ],
[ "2", "L2(13)", "2" ],
[ "", "L2(16)", "4" ],
[ "2", "L2(17)", "2" ],
[ "2", "L2(19)", "2" ],
[ "2", "L2(23)", "2" ],
[ "2", "L2(25)", "2^2" ],
[ "2", "L2(27)", "6" ],
[ "2", "L2(29)", "2" ],
[ "2", "L2(31)", "2" ],
[ "", "L2(32)", "5" ],
[ "", "L2(8)", "3" ],
[ "2", "L2(49)", "2^2" ],
[ "2", "L2(81)", "(2x4)" ],
[ "(3x4^2)", "L3(4)", "D12" ],
[ "2", "L3(2)", "2" ],
[ "", "L3(3)", "2" ],
[ "", "L3(5)", "2" ],
[ "3", "L3(7)", "3.2" ],
[ "", "L3(8)", "6" ],
[ "", "L3(9)", "2^2" ],
[ "2", "L4(3)", "2^2" ],
[ "", "L5(2)", "2" ],
[ "", "L6(2)", "2" ],
[ "2", "L4(4)", "2^2" ],
[ "", "L7(2)", "2" ],
[ "", "L5(3)", "2" ],
[ "2", "L2(37)", "2" ],
[ "2", "L2(41)", "2" ],
[ "2", "L2(43)", "2" ],
[ "2", "L2(47)", "2" ],
[ "2", "L2(53)", "2" ],
[ "2", "L2(59)", "2" ],
[ "2", "L2(61)", "2" ],
[ "", "L2(64)", "6" ],
[ "2", "L2(67)", "2" ],
[ "2", "L2(71)", "2" ],
[ "2", "L2(73)", "2" ],
[ "2", "L2(79)", "2" ],
[ "2", "L2(83)", "2" ],
[ "2", "L2(89)", "2" ],
[ "2", "L2(97)", "2" ],
[ "2", "L2(101)", "2" ],
[ "2", "L2(103)", "2" ],
[ "2", "L2(107)", "2" ],
[ "2", "L2(109)", "2" ],
[ "2", "L2(113)", "2" ],
[ "2", "L2(121)", "2^2" ],
[ "2", "L2(125)", "6" ],
[ "4", "L4(5)", "D8" ],
[ "4", "L4(9)", "(2xD8)" ],
[ "", "L8(2)", "2" ],
[ "", "L3(11)", "2" ],
[ "", "M11", "" ],
[ "2", "M12", "2" ],
[ "12", "M22", "2" ],
[ "", "M23", "" ],
[ "", "M24", "" ],
[ "2", "B", "" ],
[ "", "M", "" ],
[ "", "2F4(8)", "3" ],
[ "2", "O10+(3)", "2^2" ],
[ "6", "O7(3)", "2" ],
[ "2^2", "O8+(2)", "3.2" ],
[ "2^2", "O8+(3)", "S4" ],
[ "", "O10+(2)", "2" ],
[ "", "O10-(2)", "2" ],
[ "", "O8-(2)", "2" ],
[ "2", "O8-(3)", "2^2" ],
[ "", "O12-(2)", "2" ],
[ "", "O12+(2)", "2" ],
[ "2", "O7(5)", "2" ],
[ "2", "O9(3)", "2" ],
[ "4", "O10-(3)", "D8" ],
[ "2^2", "O8+(7)", "S4" ],
[ "2^2", "O12+(3)", "D8" ],
[ "2", "O12-(3)", "2^2" ],
[ "", "HN", "2" ],
[ "2", "HS", "2" ],
[ "", "He", "2" ],
[ "", "Ly", "" ],
[ "3", "McL", "2" ],
[ "3", "ON", "2" ],
[ "2", "Ru", "" ],
[ "6", "Suz", "2" ],
[ "", "Th", "" ],
[ "", "S10(2)", "" ],
[ "", "S4(4)", "4" ],
[ "2", "S4(5)", "2" ],
[ "2", "S6(2)", "" ],
[ "2", "S6(3)", "2" ],
[ "", "S8(2)", "" ],
[ "2", "S4(7)", "2" ],
[ "", "S4(8)", "6" ],
[ "2", "S4(9)", "2^2" ],
[ "", "S6(4)", "2" ],
[ "2", "S6(5)", "2" ],
[ "2", "S8(3)", "2" ],
[ "", "S12(2)", "" ],
[ "", "2F4(2)'", "2" ],
[ "", "3D4(2)", "3" ],
[ "", "3D4(3)", "3" ],
[ "", "3D4(4)", "6" ],
[ "(2^2x3)", "2E6(2)", "3.2" ],
[ "(3^2x4)", "U4(3)", "D8" ],
[ "", "U3(3)", "2" ],
[ "", "U3(4)", "4" ],
[ "3", "U3(5)", "3.2" ],
[ "", "U3(7)", "2" ],
[ "3", "U3(8)", "(S3x3)" ],
[ "", "U3(9)", "4" ],
[ "3", "U3(11)", "3.2" ],
[ "2", "U4(2)", "2" ],
[ "", "U5(2)", "2" ],
[ "(2^2x3)", "U6(2)", "3.2" ],
[ "", "U4(4)", "4" ],
[ "2", "U4(5)", "2^2" ],
[ "5", "U5(4)", "5:4" ],
[ "", "U5(3)", "2" ],
[ "", "U7(2)", "2" ],
[ "", "U6(4)", "4" ],
];
MakeImmutable( LIBLIST.simpleInfo );
LIBLIST.sporadicSimple := [
"M11", "M12", "J1", "M22", "J2", "M23", "HS", "J3",
"M24", "McL", "He", "Ru", "Suz", "ON", "Co3", "Co2",
"Fi22", "HN", "Ly", "Th", "Fi23", "Co1", "J4", "F3+",
"B", "M" ];
MakeImmutable( LIBLIST.sporadicSimple );
LIBLIST.GENERIC := [
"Cyclic",
"Dihedral",
"Symmetric",
"Alternating",
"WeylB",
"WeylD",
"DoubleCoverSymmetric",
"DoubleCoverAlternating",
"GL2",
"SL2odd",
"SL2even",
"PSL2odd",
"PSL2even",
"Suzuki",
"GU3",
"SU3",
"P:Q",
"ExtraspecialPlusOdd",
];
LIBLIST.GENERIC:= rec(
allnames:= List( LIBLIST.GENERIC, LowercaseString ),
firstnames:= LIBLIST.GENERIC );
LIBLIST.lastupdated:= "04-May-2025, 04:35:26 UTC";
#############################################################################
##
#E
