Quelle  fusionsources.json   Sprache: unbekannt

[
[
"Version 01-May-2025, 05:40:21 UTC. ",
"This file contains a list of length two, ",
"this description at pos. 1 ",
"and at pos. 2 the lexicographically sorted list of those ",
"pairs [<id>, <ids>] where <ids> is the nonempty list of ",
"the identifiers of those tables for which a class fusion ",
"to the table with identifier <id> is part of ",
"GAP's CTblLib package."
],
[
["(13:6xA4).2",["2.(13:6xA4).2"]],
["(2.A4x3).2",["2.A4x3","6.(A4x3).2"]],
["(2.A5x3).2",["3x2.A5"]],
["(2.A5xD10).2",["3x(2.A5xD10).2","2A5xD10"]],
["(2.A6x3).2_1",["2.A6x3"]],
["(2.A7x3).2",["2.A7x3"]],
["(2.A8x3).2",["3x2.A8"]],
["(2.A9x3).2",["2.A9x3"]],
["(2.D10xA6).2",["(2.D10x3.A6).2_3"]],
["(2^(1+8)x2^6):S6(2)",["2.F4(2)M1"]],
["(2^2x13:4):3",["(Q8x13:4):3"]],
["(2^2x3).2",["2.S3"]],
["(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"]],
["(2^2x3).2E6(2).2",["(2^2x3).2E6(2)"]],
["(2^2x3).L3(4)",["(2x12).L3(4)"]],
["(2^2x3).L3(4).2_2",["(2^2x3).L3(4)"]],
["(2^2x3).L3(4).2_3",["(2^2x3).L3(4)"]],
["(2^2x3).L3(4).3",["(2^2x3).L3(4)"]],
["(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"]],
["(2^2x3).U6(2).2",["(2^2x3).U6(2)"]],
["(2^2x3).U6(2).3",["(2^2x3).U6(2)"]],
["(2^2xA5):2",["2xS5"]],
["(2^2xD14):3",["(Q8xD14):3"]],
["(2^2xF4(2)):2",["2^2xF4(2)"]],
["(2^2xSz(8)):3",["2.(2^2xSz(8)):3"]],
["(2^2xU4(2)):2",["2.(2^2xU4(2)).2","3x2.(2^2xU4(2)).2"]],
["(2^4:S5x3).2",["3x2^4:s5"]],
["(2^6x2^8):S6(2)",["(2^(1+8)x2^6):S6(2)"]],
["(2x12).L3(4)",["(4^2x3).L3(4)"]],
["(2x13).6",["3x(2x13).6"]],
["(2x2^(1+8)):(U4(2):2x2)",["(2x2^(1+8)):U4(2):2","3.(2x2^(1+8)):(U4(2):2x2)"]],
["(2x2^(1+8)):U4(2):2",["2.(2x2^(1+8)):U4(2):2"]],
["(2x3^4:2^3).S4",["(2^2x3^4).2^3.S4"]],
["(2x3^5).U4(2).2",["6.(3^5:U4(2):2)"]],
["(2x4).L3(4)",["4^2.L3(4)","(2x12).L3(4)"]],
["(2xA6).2_3",["4.A6.2_3","(4xA6).2_3","6.M22M7"]],
["(2xA6.2^2).2",["2xa6.2^2"]],
["(2xO8+(3)).S4",["(3^2:2xO8+(3)).S4"]],
["(3.A6.2_2xA5):2",["(3.A6xA5):2"]],
["(3.A6xA5):2",["(3.A6x2.A5).2"]],
["(3^(1+2)+x3^2):2S4",["3.(3^(1+2)+x3^2):2S4"]],
["(3^(1+2):4xA6).2",["(3^(1+2):4x2.A6).2"]],
["(3^(1+2):8xA6).2",["(3^(1+2):4xA6).2"]],
["(3^(1+6).3)b.2.S4",["2x(3^(1+6).3)b.2.S4"]],
["(3^2:2x13:6).2",["(3^(1+2)_+:2x13:6).2"]],
["(3^2:2xO8+(3)).S4",["(2xO8+(3)).S4"]],
["(3^2:4x2.A6).2",["(3^(1+2):4x2.A6).2"]],
["(3^2:4xA6).2^2",["3.ON.2M4","ONM5"]],
["(3^2:4xD10).2",["(3^(1+2):4xD10).2"]],
["(3^2:4xa6).2",["(3^2:4x2.A6).2","(3^(1+2):4xA6).2","(3^(1+2):4x2.A6).2"]],
["(3^2:8xA6).2",["(3^2:4xa6).2","(3^(1+2):8xA6).2"]],
["(3^2:D8xD10).2",["(3^2:4xD10).2"]],
["(3^2:D8xU4(3).2^2).2",["2.(3^2:D8xU4(3).2^2).2"]],
["(3^2x2).U4(3)",["(3^2x4).U4(3)"]],
["(3x13:6).2",["3x13:6"]],
["(3x2.D10).2",["3x2.D10"]],
["(3x2.U4(2)):2",["2^2.O8+(2)M11"]],
["(3x2^(1+6)_-.U4(2)).2",["3x2^(1+6)_-.U4(2)"]],
["(3x2^(2+8):(A5xS3)).2",["3x2^(2+8):(A5xS3)"]],
["(3x2^(4+6):3A6).2",["3x2^(4+6).3A6"]],
["(3xD10).2",["(3x2.D10).2"]],
["(3xG2(4)).2",["3xG2(4)","(A4xG2(4)):2"]],
["(3xL2(16):2).2",["L2(16).4"]],
["(3xL2(25)).2_2",["3xL2(25)"]],
["(3xM10):2",["3.(3xM10):2","j3m6"]],
["(3xMcLN2).2",["3xMcLN2"]],
["(3xO8+(2)):2",["3xO8+(2)"]],
["(3xONN2).2",["3xONN2"]],
["(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"]],
["(3xU5(2)).2",["3xU5(2)","U72CT"]],
["(4xA6).2_3",["12.M22M7"]],
["(7:3x3):2",["(7:3x3):4","7:3x3"]],
["(7:3x3):4",["6x7:3"]],
["(7^2)b:2.L2(7).2",["3.L3(7)M2"]],
["(7^2:(3x2A4)xL2(7)).2",["7^2:(3x2A4)"]],
["(7xL2(8)).3",["7xL2(8)"]],
["(A4wr2^2):2",["O8+(3)M27"]],
["(A4x2(A4xA4).2).2",["2.(A4x2(A4xA4).2).2","3.(A4x2(A4xA4).2).2","6.(A4x2(A4xA4).2).2"]],
["(A4x3):2",["NDG(12.M22,3^2)","2x3.(A4x3):2","Isoclinic(2x(2.A4x3).2)","(2.A4x3).2","3.(A4x3):2","6.(A4x3).2"]],
["(A4x3.L3(4)).2",["6.SuzM8"]],
["(A4x3.L3(4).2_3).2",["(A4x3.L3(4)).2"]],
["(A4x7:3):2",["(SL(2,3)x7:3).2","3x(SL(2,3)x7:3).2"]],
["(A4xA5):2",["2.(A5xA4).2","S4xS3","a4xa5"]],
["(A4xG2(4)):2",["2.(A4xG2(4)).2"]],
["(A4xL3(4):2_3):2",["(a4xpsl(3,4)):2","(A4x3.L3(4).2_3).2"]],
["(A4xO8+(2).3).2",["F3+N5"]],
["(A5x3):2",["(2.A5x3).2","2^4:(3xA5).2","(A4xA5):2"]],
["(A5xA5).(2x4)",["(2x2.(A5xA5)):2^2"]],
["(A5xA5):2",["(2.A5xA5):2"]],
["(A5xA5):2^2",["(2x2.(A5xA5)):2^2","(A5xA5).(2x4)"]],
["(A5xA5):4",["2.(A5xA5).4"]],
["(A5xD10).2",["3x(2.A5xD10).2","(2.A5xD10).2","a5xd10"]],
["(A5xJ2):2",["2.(A5xJ2).2"]],
["(A6:2_2xA5).2",["(a6xa5).2","(3.A6.2_2xA5):2"]],
["(A6x2.A5).2",["(3.A6x2.A5).2"]],
["(A6xA4).2",["2.(A6xA4).2"]],
["(A6xA5):2",["2.(A6xA5).2"]],
["(A6xA6).D8",["(A6xA6):2^2"]],
["(A6xA6):2^2",["2.(A6xA6).2^2"]],
["(A6xU3(3)):2",["D8xU3(3).2","(2.A6xU3(3)).2","S4xU3(3).2"]],
["(A7x3).2",["A7x3","(2.A7x3).2"]],
["(A7xA4):2",["2.(A7xA4).2"]],
["(A7xL2(7)):2",["(2.A7xL2(7)).2"]],
["(A8x3).2",["A8x3","(2.A8x3).2"]],
["(A9x3):2",["A9x3","(2.A9x3).2"]],
["(D10x(A5xA5).2).2",["(D10x2.(A5xA5).2).2"]],
["(D10x3.A6).2_3",["(2.D10x3.A6).2_3"]],
["(D10xA5).2",["D10xA5"]],
["(D10xA6).2",["(2.D10xA6).2","(D10x3.A6).2_3","(2.D10x3.A6).2_3"]],
["(D10xJ2).2",["2.(D10xJ2).2"]],
["(D10xU3(5)).2",["(D10xU3(5)N2).2"]],
["(L2(11)x3).2",["3xL2(11)"]],
["(L2(11)xM12):2",["(11:5xM12):2"]],
["(L3(2)xL3(4).2_2).2",["(L3(2)xL3(4)).2"]],
["(S3x2.Fi22).2",["3x2.Fi22.2"]],
["(S3x2.U4(3).2_2).2",["3x2.U4(3).(2^2)_{122}"]],
["(S3xS3xG2(3)):2",["(3^(1+2):2^2xG2(3)):2"]],
["(S5xS5xS5):S3",["S3"]],
["(S6xS6).2^2",["(A6xA6).D8"]],
["(SL(2,3)x7:3).2",["3x(SL(2,3)x7:3).2"]],
["(a4xpsl(3,4)):2",["2.(A4xL3(4)).2","(A4x3.L3(4)).2","6.SuzM8"]],
["(a6xa5).2",["(3.A6xA5):2","(A6x2.A5).2","(3.A6x2.A5).2"]],
["11:10",["(A4x11:5).2","2x11:10","(11:5xM12):2","11:20","3x11:20","(2^2x11:5).2","(11:5xD12).2","11:5"]],
["11:20",["3x11:20"]],
["11:5",["12x11:5"]],
["12.A6.2_3",["Isoclinic(6.A6x2)"]],
["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))"]],
["12.M22.2",["12.M22"]],
["12_1.L3(4)",["12.M22N3","(2x12).L3(4)","3x4_1.2^4:A5"]],
["12_1.L3(4).2_1",["12_1.L3(4)"]],
["12_1.L3(4).2_2",["12_1.L3(4)"]],
["12_1.L3(4).2_3",["12_1.L3(4)"]],
["12_1.U4(3)",["(3^2x4).U4(3)"]],
["12_1.U4(3).2_1",["12_1.U4(3)"]],
["12_1.U4(3).2_2",["12_1.U4(3)"]],
["12_1.U4(3).2_2'",["12_1.U4(3)"]],
["12_2.L3(4)",["(2x12).L3(4)","3x4_2.2^4:A5"]],
["12_2.L3(4).2_1",["12_2.L3(4)"]],
["12_2.L3(4).2_2",["12_2.L3(4)"]],
["12_2.L3(4).2_3",["12_2.L3(4)"]],
["12_2.U4(3)",["(3^2x4).U4(3)"]],
["12_2.U4(3).2_1",["12_2.U4(3)"]],
["12_2.U4(3).2_3",["12_2.U4(3)"]],
["12_2.U4(3).2_3'",["12_2.U4(3)"]],
["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"]],
["13:6",["6x13:6","3x(2x13).6","(2x13).6"]],
["17:16",["17:8"]],
["17:8",["(2x17).8"]],
["19:18",["19:6","19:9"]],
["2(A4xA4).4.2",["2(A4xA4).2^2"]],
["2(S4xS4)",["S3x2.S4","3^(3+4):2(S4xS4)"]],
["2.(2xA7)",["2.(2x3.A7)"]],
["2.(3^(1+4).[2^7.3])",["6.(3^(1+4).[2^7.3])"]],
["2.(A4x2(A4xA4).2).2",["6.(A4x2(A4xA4).2).2"]],
["2.(A4xG2(4)).2",["(2.A4x2.G2(4)).2"]],
["2.(A4xL3(4)).2",["6.SuzM8"]],
["2.(A5xA5).2^2",["2.(A5wr2)","(D10x2.(A5xA5).2).2","2^2.O8+(2)M16"]],
["2.(A5xJ2).2",["(2.A5x2.J2).2"]],
["2.(D8x3^2:Q8)",["2.(D8x3^(1+2)_+:Q8)"]],
["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)"]],
["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"]],
["2.2E6(2)M5",["6.2E6(2)M5","(2^2x3).2E6(2)M5","2^2.2E6(2)M5"]],
["2.2E6(2)M9",["6.2E6(2)M9","(2^2x3).2E6(2)M9","2^2.2E6(2)M9"]],
["2.2^(1+8)_+:(S3xS3xS3)",["2^2.(2^(1+8)_+:(S3xS3xS3))"]],
["2.2^(1+8)_+:U4(2)",["2^2.2^(1+8)_+:U4(2)","3x2^2.2^(1+8)_+:U4(2)"]],
["2.2^(3+3):7",["2^2.2^(3+3):7"]],
["2.2^(4+8):(S3xA5)",["2^2.2^(4+8):(S3xA5)","3x2^2.2^(4+8):(S3xA5)"]],
["2.2^4+6:S5",["2.2.2^4+6:S5"]],
["2.A10",["Isoclinic(2.A8.2)","2.A9","M10x2","(2.A7x3).2","2.(A5xA5).4","2.(A6xA4).2","2^(1+4).S5"]],
["2.A10.2",["2.A10"]],
["2.A11",["2.A10","Isoclinic(2.A9.2)","2.(S4xS5)","(2.A8x3).2","2.(A7xA4).2","2.(A6xA5).2","2xM11","2.A11M7","LyN2"]],
["2.A11.2",["2.A11"]],
["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"]],
["2.A12.2",["2.A12"]],
["2.A13.2",["2.A13"]],
["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"]],
["2.A5.2",["2.A5","5:8","(2.A5x2.J2).2","2.S4","(2.A5xD10).2","(2^2x3).2"]],
["2.A5.2xS3",["S3x2.A5"]],
["2.A6",["2.A5","6.A6","2.Symm(4)","2.D8","2.A6M2","3^2:8","2.A6M5","bd10","3^4:2.A6"]],
["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"]],
["2.A6.2_2",["2.A6","6.A6.2_2","2.D16","2.D20"]],
["2.A6M2",["6.A6M2"]],
["2.A6M5",["6.A6M5"]],
["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"]],
["2.A7.2",["2.A7","6.A7.2","QD16.2","7:12"]],
["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"]],
["2.A8.2",["2.A8"]],
["2.A8N3",["3^2:8"]],
["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"]],
["2.A9.2",["2.A9"]],
["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"]],
["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"]],
["2.D12",["2.S3"]],
["2.D16",["2.D8"]],
["2.D20",["bd10"]],
["2.D8",["6.A6N2"]],
["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)"]],
["2.F4(2).2",["2.F4(2)"]],
["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)"]],
["2.Fi22.2",["2.Fi22","6.Fi22.2","(S3x2.U4(3).2_2).2"]],
["2.Fi22M5",["6.Fi22M5","2^2.U6(2)M3"]],
["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)"]],
["2.G2(4).2",["2.G2(4)","Isoclinic(2.J2.2)","2.J2.2N5","6.L3(4).(2^2)_{123*}","(2.A5xD10).2"]],
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["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"]],
["2.HS.2N2",["2.HSN2"]],
["2.HS.2N3",["2.HSN3"]],
["2.HS.2N5",["5^(1+2):8:4"]],
["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)"]],
["2.J2.2",["Isoclinic(2.A5.2)","2.J2","2.J2.2N5","(2.A5x2.J2).2","Isoclinic(2xU3(3).2)","(2.A5xD10).2"]],
["2.J2.2N5",["2.J2M8"]],
["2.L2(11)",["2.A5","2.D12","2x11:5"]],
["2.L2(11).2",["2.L2(11)"]],
["2.L2(13)",["2.D12","2.D14","(2x13).6","2.L2(3)"]],
["2.L2(13).2",["2.L2(13)"]],
["2.L2(17)",["2.Symm(4)","2.D16","2.D18","(2x17).8"]],
["2.L2(17).2",["2.L2(17)"]],
["2.L2(19)",["2.A5","2.D18","2.D20","2x19:9"]],
["2.L2(19).2",["2.L2(19)"]],
["2.L2(23)",["2.Symm(4)","2.D22","2.D24","2x23:11"]],
["2.L2(23).2",["2.L2(23)"]],
["2.L2(25)",["Isoclinic(2.A5.2)","2.D24","2.D26","(2x5^2).12","2.L2(25)M3"]],
["2.L2(25).2_1",["2.L2(25)"]],
["2.L2(25).2_2",["2.L2(25)","5^4:(3x2.L2(25)).2"]],
["2.L2(27)",["2.D26","2.D28","2x3^3:13","2.L2(3)"]],
["2.L2(27).2",["2.L2(27)"]],
["2.L2(27).3",["2.L2(27)"]],
["2.L2(27).6",["2.L2(27)","2.L2(27).2","2.L2(27).3"]],
["2.L2(29)",["2.A5","2.D28","2.D30","(2x29).14"]],
["2.L2(29).2",["2.L2(29)"]],
["2.L2(31)",["2.A5","2.Symm(4)","2.D30","2.D32","2x31:15"]],
["2.L2(31).2",["2.L2(31)"]],
["2.L2(49).2_1",["2.L2(49)"]],
["2.L2(49).2_2",["2.L2(49)"]],
["2.L2(81).2_1",["2.L2(81)"]],
["2.L2(81).2_2",["2.L2(81)"]],
["2.L2(81).4_1",["2.L2(81)","2.L2(81).2_1"]],
["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)"]],
["2.L3(2).2",["7:12","2.L3(2)","2.D12","2.D16"]],
["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)"]],
["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*}"]],
["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}"]],
["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*}"]],
["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}"]],
["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*}"]],
["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}"]],
["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*}"]],
["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"]],
["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"]],
["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"]],
["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"]],
["2.L3(4)M7",["6.L3(4)M7"]],
["2.L3(4)M8",["6.L3(4)M8"]],
["2.L4(3).2_1",["2.L4(3)"]],
["2.L4(3).2_2",["2.L4(3)"]],
["2.L4(3).2_3",["2.L4(3)"]],
["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"]],
["2.M12.2",["2.M12","2xL2(11).2"]],
["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"]],
["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"]],
["2.M22M2",["4.M22M2","6.M22M2","12.M22M2"]],
["2.M22M5",["4.M22M5"]],
["2.M22N2",["3x2.M22N2","4.M22N2","3x4.M22N2"]],
["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"]],
["2.O7(3).2",["2.O7(3)","6.O7(3).2"]],
["2.O7(3)M11",["6.O7(3)M11"]],
["2.O7(3)M5",["6.O7(3)M5"]],
["2.O7(3)M8",["6.O7(3)M8"]],
["2.O7(3)M9",["6.O7(3)M9"]],
["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)"]],
["2.O8+(2).2",["2.O8+(2)","2^2.O8+(2).2"]],
["2.O8+(2)M12",["2^2.O8+(2)M12"]],
["2.O8+(2)M17",["2^2.O8+(2)M17"]],
["2.O8+(2)M3",["2^2.O8+(2)M3"]],
["2.O8+(2)M6",["2^2.O8+(2)M6"]],
["2.O8+(2)M9",["2^2.O8+(2)M9"]],
["2.O8+(3)",["2^2.O8+(3)"]],
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["2.S4",["3^4.(3xSL(2,3)).2","(SL2(3)x7:3).2","(2.A4x2.G2(4)).2","2.L2(3)"]],
["2.S4(5).2",["2.S4(5)"]],
["2.S4x2.S4",["3^(3+4):(2.S4)^2","2xS3x2.S4"]],
["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"]],
["2.S6(3).2",["2.S6(3)"]],
["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')"]],
["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"]],
["2.SuzM11",["6.SuzM11"]],
["2.Symm(4)",["(SL(2,3)x7:3).2","(2.A4x3).2","2.L2(3)"]],
["2.Sz(8)",["2^2.Sz(8)","2.2^(3+3):7","2x13:4","D28","2x5:4"]],
["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)"]],
["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)"]],
["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)"]],
["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')"]],
["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'"]],
["2.U4(3).(2^2)_{1*22}",["Isoclinic(2.U4(3).2_1)","2.U4(3).2_2","2.U4(3).2_2'"]],
["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')"]],
["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'"]],
["2.U4(3).(2^2)_{1*33}",["Isoclinic(2.U4(3).2_1)","2.U4(3).2_3","2.U4(3).2_3'"]],
["2.U4(3).(2^2)_{12*2*}",["2.U4(3).2_1","Isoclinic(2.U4(3).2_2)","Isoclinic(2.U4(3).2_2')"]],
["2.U4(3).(2^2)_{12*2}",["2.U4(3).2_1","Isoclinic(2.U4(3).2_2)","2.U4(3).2_2'"]],
["2.U4(3).(2^2)_{122}",["2.U4(3).2_1","2.U4(3).2_2","2.U4(3).2_2'"]],
["2.U4(3).(2^2)_{13*3*}",["2.U4(3).2_1","Isoclinic(2.U4(3).2_3)","Isoclinic(2.U4(3).2_3')"]],
["2.U4(3).(2^2)_{13*3}",["2.U4(3).2_1","Isoclinic(2.U4(3).2_3)","2.U4(3).2_3'"]],
["2.U4(3).(2^2)_{133}",["2.U4(3).2_1","2.U4(3).2_3","2.U4(3).2_3'"]],
["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"]],
["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"]],
["2.U4(3).2_2'",["12_1.U4(3).2_2'","2.U4(3)","6_1.U4(3).2_2'"]],
["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'"]],
["2.U4(3).2_3'",["12_2.U4(3).2_3'","2.U4(3)","6_2.U4(3).2_3'"]],
["2.U4(3).4",["2.U4(3)","2.U4(3).2_1","4.U4(3).4"]],
["2.U4(3).D8",["2.U4(3).4","2.U4(3).(2^2)_{122}","2.U4(3).(2^2)_{133}"]],
["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)"]],
["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"]],
["2.U6(2)M10",["6.U6(2)M10","2^2.U6(2)M10","(2^2x3).U6(2)M10"]],
["2.U6(2)M13",["6.U6(2)M13","2^2.U6(2)M13","(2^2x3).U6(2)M13"]],
["2.U6(2)M3",["6.U6(2)M3","2^2.U6(2)M3"]],
["2.U6(2)M6",["6.U6(2)M6","2^2.U6(2)M6","(2^2x3).U6(2)M6"]],
["2.U6(2)M9",["6.U6(2)M9","2^2.U6(2)M9","(2^2x3).U6(2)M9"]],
["2.[2^6]:(S3xS3)",["2.[2^6].(2xS3)","2^2.[2^6].(S3xS3)"]],
["2.[2^9]:5:4",["2.2^8.f20"]],
["29:14",["(2x29).14"]],
["2A4xA5",["2.L2(3)"]],
["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"]],
["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"]],
["2E6(2).2N3C",["2E6(2)N3C"]],
["2E6(2).3",["2^2.2E6(2).3","2E6(2)"]],
["2E6(2).3.2",["2^2.2E6(2).3.2","2E6(2).2","2E6(2).3"]],
["2E6(2)M4",["2.F4(2)","3.2E6(2)M4","3x2.F4(2)","(2^2x3).2E6(2)M4","2^2.2E6(2)M4"]],
["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"]],
["2E6(2)M8",["2.Fi22","6.Fi22","3.2E6(2)M8","(2^2x3).2E6(2)M8","2^2.2E6(2)M8"]],
["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"]],
["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"]],
["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)'"]],
["2F4(2)'.2N2",["2F4(2)'N2"]],
["2F4(2)'M7",["2.HSM11"]],
["2^(1+12).3_1.U4(3).2_2'",["3.2^(1+12).3U4(3).2"]],
["2^(1+3):L3(2)",["2^(1+1+2+2):S3"]],
["2^(1+4)+.(S3xS3)",["2^(1+4)+:3^2.2"]],
["2^(1+4)+:3^2.2",["3.2^(1+4)+:3^2.2"]],
["2^(1+4).S3",["4.s4"]],
["2^(1+4).S5",["2^1+4b:a5"]],
["2^(1+5+8).(S3xA6)",["2.Fi22N2"]],
["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"]],
["2^(1+6)_+.A8",["(2x2^(1+6)_+).A8","2^2.O8+(2)M5"]],
["2^(1+6)_+.L3(2).2",["2^1+6.psl(3,2)"]],
["2^(1+6)_+:A7",["2^(1+6)_+:3A7"]],
["2^(1+6)_+:S5",["4.2^4.S5"]],
["2^(1+6)_-.U4(2).2",["2^1+6.u4q2","(3x2^(1+6)_-.U4(2)).2"]],
["2^(1+8)+.O8+(2)",["(2x2^(1+8)_+).O8+(2)"]],
["2^(1+8).(A5xA5).2",["2^(1+8)_+.(2xA5)","2^(1+8)_+.(A4xA5)","2^(1+8)_+.(A4xA4).2"]],
["2^(1+8)_+.(A5xA5).2^2",["2^(1+8).(A5xA5).2"]],
["2^(1+8)_+:(S3xS3xS3)",["2^2.(2^(1+8)_+:(S3xS3xS3))","2.2^(1+8)_+:(S3xS3xS3)"]],
["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)"]],
["2^(2+12):(A8xS3)",["2.2^(2+12):(A8xS3)"]],
["2^(2+4).(S3x2)",["J2N2","J3N2"]],
["2^(2+4):(3x3):2",["3.2^(2+4):(3x3):2","2^(1+1+2+2):S3"]],
["2^(2+4):(S3xS3)",["3.2^(2+4):(S3xS3)","2^(2+4):(3x3):2","2^2+4.3xs3"]],
["2^(2+8):(3xA5)",["2.2^(2+8).(3xA5)"]],
["2^(2+8):(3xA5):2",["2^(2+8):(3xA5)"]],
["2^(2+8):(S5xS3)",["2^2+8(a5xs3)","(3x2^(2+8):(A5xS3)).2"]],
["2^(3+3):7",["2.2^(3+3):7","2^2.2^(3+3):7"]],
["2^(3+3):7:3",["2^(3+3):7"]],
["2^(4+12).(S3x3S6)",["2.2^(4+12).(S3x3S6)","2^(4+12).(S3x3^(1+2)_+:D8)"]],
["2^(4+4).(S3xS3).2",["NRS(M24,2^(4+4))"]],
["2^(4+6):(A5x3)",["2.2^(4+6).(A5x3)"]],
["2^(4+6):(A5x3):2",["2^(4+6):(A5x3)"]],
["2^(4+6):3S6",["2^4+6:3a6","(3x2^(4+6):3A6).2"]],
["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)"]],
["2^(5+8):(2xA6)",["2^(5+8):(2x3.A6)"]],
["2^(5+8):(S3xA6)",["2^(5+8):(S3x3.A6)","2^(1+5+8).(S3xA6)","f22s2"]],
["2^(5+8):(S3xS6)",["2^(5+8):(S3xA6)"]],
["2^1+24.Co1",["2^1+24.2.Co1"]],
["2^1+4b:a5",["2^{1+4}_-:2A5"]],
["2^1+6.u4q2",["2.SuzM4","3x2.SuzM4"]],
["2^1+8.a9",["2^1+8.2.A9"]],
["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"]],
["2^10:L5(2)",["L5(2)"]],
["2^10:M22'",["M22"]],
["2^10:m22",["M22","2.Fi22M5","3.Fi22M5","6.Fi22M5","2.U6(2)M3"]],
["2^10:m22:2",["2^10.2^3.2^3.S3","M22.2","2^10:(2^5:s5)"]],
["2^11:M24",["M24","2.2^11:M24"]],
["2^12.(S3x3S6)",["2^(4+12).(S3x3S6)"]],
["2^12.3^2.U4(3).2_2'",["3.2^(1+12).3U4(3).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"]],
["2^12.M24",["F3+M7"]],
["2^2+4.3xs3",["2^4:A4b","2^{3+4}:(3xS3)"]],
["2^2+8(a5xs3)",["2.SuzM9"]],
["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)"]],
["2^2.2E6(2).2",["2^2.2E6(2)"]],
["2^2.2E6(2).3",["2^2.2E6(2)"]],
["2^2.2E6(2).3.2",["2^2.2E6(2).2","2^2.2E6(2).3"]],
["2^2.2E6(2)M4",["(2^2x3).2E6(2)M4"]],
["2^2.2E6(2)M5",["(2^2x3).2E6(2)M5"]],
["2^2.2E6(2)M8",["(2^2x3).2E6(2)M8"]],
["2^2.2E6(2)M9",["(2^2x3).2E6(2)M9"]],
["2^2.Fi22.2",["2.Fi22.2","2x2.Fi22","(S3x2.Fi22).2"]],
["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)"]],
["2^2.L3(4).2^2",["2^2.L3(4).2_1","2^2.L3(4).2_2","2^2.L3(4).2_3"]],
["2^2.L3(4).2_1",["2^2.L3(4)"]],
["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"]],
["2^2.L3(4).2_3",["2^2.L3(4)","(2^2x3).L3(4).2_3"]],
["2^2.L3(4).3",["2^2.L3(4)","(2^2x3).L3(4).3","A4x7:3","2^2.(3^2:2A4)","2^6:(3xA5)"]],
["2^2.L3(4).3.2_2",["2^2.L3(4).2_2","2^2.L3(4).3"]],
["2^2.L3(4).3.2_3",["2^2.L3(4).2_3","2^2.L3(4).3"]],
["2^2.L3(4).6",["2^2.L3(4).2_1","2^2.L3(4).3"]],
["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"]],
["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"]],
["2^2.O8+(2).2",["2^2.O8+(2)"]],
["2^2.O8+(2).3",["2^2.O8+(2)"]],
["2^2.O8+(2).3.2",["2^2.O8+(2).2","2^2.O8+(2).3"]],
["2^2.O8+(3).3",["2^2.O8+(3)"]],
["2^2.Sz(8)",["2^2.2^(3+3):7","2^2x13:4","2^2xD14","5:4x2^2"]],
["2^2.Sz(8).3",["2^2.Sz(8)"]],
["2^2.U4(3).(2^2)_{122}",["2x2.U4(3).2_2","(S3x2.U4(3).2_2).2","2.U4(3).(2^2)_{122}"]],
["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)"]],
["2^2.U6(2).2",["D8xS6(2)","2^2.U6(2)","(2^2x3).U6(2).2"]],
["2^2.U6(2).3",["2^2.U6(2)","(2^2x3).U6(2).3"]],
["2^2.U6(2).3.2",["2^2.U6(2).2","2^2.U6(2).3"]],
["2^2.U6(2)M10",["(2^2x3).U6(2)M10"]],
["2^2.U6(2)M12",["(2^2x3).U6(2)M12"]],
["2^2.U6(2)M13",["(2^2x3).U6(2)M13"]],
["2^2.U6(2)M3",["(2^2x3).U6(2)M3"]],
["2^2.U6(2)M5",["(2^2x3).U6(2)M5"]],
["2^2.U6(2)M6",["(2^2x3).U6(2)M6"]],
["2^2.U6(2)M9",["(2^2x3).U6(2)M9"]],
["2^2.[2^9]:S3",["2^2.2^8:s3"]],
["2^2.psl(3,4).s3",["2^2.L3(4).2_2","2^2.L3(4).3","7:3xS4","2^6:(3xA5):2","hed3"]],
["2^24.Co1",["2^1+24.Co1"]],
["2^2x11:5",["2x6x11:5"]],
["2^2xS3xU4(2)",["2^2x3xS3xU4(2)"]],
["2^2xS6(2)",["2^2x3xS6(2)"]],
["2^2xU5(2)",["2^2x3xU5(2)"]],
["2^3+8:L3(2)",["2.2^3+8:L3(2)"]],
["2^3.(S4x2)",["M8.S4"]],
["2^3.2^2.2^6.(3xL3(2))",["2^(2+1+2+4+2).(3xS4)"]],
["2^3.2^2.2^6.(S3xL3(2))",["2^3.2^2.2^6.(3xL3(2))"]],
["2^3.L3(2)",["4^3.L3(2)"]],
["2^3.L3(2):2",["(D10x2^3.L3(2)).2","2^3.L3(2)"]],
["2^3:L3(2)xS3",["3x2^3:L3(2)"]],
["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)"]],
["2^4+6:3a6",["2.SuzM7"]],
["2^4.s6",["2^4:a6","2.2^4.S6","2^4.(S4x2)"]],
["2^4:(3xA5).2",["j3m4"]],
["2^4:(S3xS3)",["2(A4xA4).2^2"]],
["2^4:3.S6",["3.M22M2"]],
["2^4:A4",["2.U4(2)N2"]],
["2^4:A5",["A5"]],
["2^4:D8",["3x2.M22N2","3xMcLN2","2.M22N2","4.M22N2","3x4.M22N2"]],
["2^4:a6",["A6","P1/G1/L1/V1/ext2","2.M22M2","3.M22M2","4.M22M2","6.M22M2","12.M22M2","2^4:3^2:4"]],
["2^4:a7",["A7","2^4:a6","3.2^4:a7","2^(1+3):L3(2)","2^(2+4):(3x3):2"]],
["2^4:a8",["A8","2^4:a7","2^10.A8"]],
["2^4:s5",["A5.2","2^4:A5","2.M22M5","4.M22M5"]],
["2^5.S6",["2^4.s6"]],
["2^5:L5(2)",["L5(2)"]],
["2^5:S6",["2.(2^5:S6)","2.2^5.S6"]],
["2^6.U4(2).2",["2^6.U4(2)"]],
["2^6:3.s6",["3.A6.2_1"]],
["2^6:3A7",["2^(1+6)_+:3A7"]],
["2^6:3^(1+2).D8",["3^(1+2):D8"]],
["2^6:3^3:S4",["2^(1+6)_-.3^3.S4"]],
["2^6:A7",["A7","2^(1+6)_+:A7","2^6:3A7","2^(1+6)_+:3A7"]],
["2^6:A8",["A8","2^(3+3+3).L3(2)","P31/G1/L1/V1/ext2","(2x2^(1+6)_+).A8","2^(1+6)_+.A8"]],
["2^6:L3(2)",["2^6:S4a","2^6:S4b","2.2^6.L3(2)"]],
["2^6:L6(2)",["L6(2)"]],
["2^6:S7",["2^6:A7"]],
["2^6:S8",["A8.2"]],
["2^6:U4(2)",["U4(2)"]],
["2^6:U4(2).2",["U4(2).2"]],
["2^6:s6f2",["2^6:U4(2).2","2^6:S8","S6(2)"]],
["2^6:u3(3)",["U3(3)"]],
["2^6:u3(3):2",["2.2^6:u3(3):2"]],
["2^7:S6(2)",["2^6:s6f2"]],
["2^8.A9",["A9"]],
["2^8:O8+(2)",["2^8:S6(2)","O8+(2)"]],
["2^8:O8+(2):2",["O8+(2).2"]],
["2^8:O8-(2)",["O8-(2)"]],
["2^8:O8-(2):2",["O8-(2).2"]],
["2^8:S6(2)",["2^1+8:s6f2","S6(2)"]],
["2^8:S8",["A8.2","2^(1+8):S8"]],
["2^8:S8(2)",["S8(2)"]],
["2^9.L3(4)",["L3(4)","2.U6(2)M3","3.U6(2)M3","6.U6(2)M3"]],
["2x(3^2.QD16)",["2.HSN3"]],
["2x(3xU4(2)):2",["2x(3x2.U4(2)):2"]],
["2x(A4x3):2",["NDG(12.M22,3^2)","2x3.(A4x3):2","Isoclinic(2x(2.A4x3).2)"]],
["2x11:5",["12x11:5","4x11:5","2^2x11:5","6x11:5","2x6x11:5","11:5"]],
["2x13:4",["2^2x13:4"]],
["2x13:6",["6x13:6","13:6"]],
["2x2.F4(2)",["6x2.F4(2)"]],
["2x2.Fi22",["2x6.Fi22"]],
["2x2.M12",["2x2.A4xS3","2^2x3^2.2.S4","2x3^6:2.M12"]],
["2x2.M22",["2x6.M22"]],
["2x2.U4(2).2",["2x3^(1+4).2U4(2).2","2x2.(3^3:(S4x2))"]],
["2x2.U4(3).2_2",["2x6_1.U4(3).2_2"]],
["2x2^3:L3(2)",["2^3:sl(3,2)","4.M22M6","6x2^3:L3(2)"]],
["2x3.(A4x3):2",["NDG(12.M22,3^2)"]],
["2x3.Fi22",["2x6.Fi22"]],
["2x3.M22",["2x6.M22"]],
["2x3^(3+3):L3(3)",["2x3.(3^(3+3):L3(3))"]],
["2x3^4:(2xA6)",["3^4:(2xA6)"]],
["2x3^5:(3^2:SD16)",["2x3.3^5:(3^2:SD16)"]],
["2x3^5:M11",["2x3^6.M11"]],
["2x3_1.U4(3).2_2",["2x6_1.U4(3).2_2"]],
["2x5:4",["3xIsoclinic(2x5:8)","Isoclinic(2x5:8)","2.M12N5","5:4x2^2","5:4","6x5:4"]],
["2x7:3",["12x7:3","4x7:3","6x7:3","7:3"]],
["2x7:6",["2x7:3"]],
["2xA5",["a5xd10","3^4:(2xA5)"]],
["2xA6",["3^4:(2xA6)"]],
["2xA7",["2x(3.A7)","2.(2xA7)"]],
["2xA9",["2x2.A9"]],
["2xF4(2)",["6x2.F4(2)","2^2xF4(2)","2x2.F4(2)"]],
["2xF4(2).2",["2xF4(2)","(2^2xF4(2)):2"]],
["2xFi22",["2x6.Fi22","2x2.Fi22"]],
["2xFi22.2",["S3xFi22.2","2xFi22","2^2.Fi22.2"]],
["2xFi22N3",["2x3.Fi22N3"]],
["2xFi22N5",["6xFi22N5","Fi22N5"]],
["2xG2(3)",["2x3.G2(3)"]],
["2xL2(11)",["2.(2xL2(11))","6xL2(11)"]],
["2xL3(2)",["6xL3(2)"]],
["2xM11",["2x3^6.M11","LyM6","3^5:(M11x2)","3^6:(M11x2)","2x3^5:M11","3^5:(2xm11)"]],
["2xM22",["2x3.M22","2x2.M22","2x6.M22"]],
["2xO7(3)",["2x3^(3+3):L3(3)","2x3.O7(3)","S3xO7(3)"]],
["2xS3x7:6",["6xS3x7:6"]],
["2xS3xU4(2)",["6xS3xU4(2)","2^2xS3xU4(2)","2^2x3xS3xU4(2)"]],
["2xS3xU4(3).(2^2)_{122}",["2xS3xU4(3).2_2"]],
["2xS3xU4(3).2_2",["2xS3x2.U4(3).2_2"]],
["2xS5",["S5xS3"]],
["2xS6(2)",["2x2.S6(2)","6xS6(2)","2^2xS6(2)","2^2x3xS6(2)"]],
["2xSymm(4)",["s4"]],
["2xTh",["S3xTh"]],
["2xU4(3).(2^2)_{122}",["2^2.U4(3).(2^2)_{122}","2xU4(3).2_2"]],
["2xU4(3).2_2",["2x6_1.U4(3).2_2","2x2.U4(3).2_2","2x3_1.U4(3).2_2"]],
["2xU5(2)",["2^2xU5(2)","2^2x3xU5(2)","6xU5(2)"]],
["2xU5(2).2",["3^(1+12).(2xU5(2).2)"]],
["2xa6.2^2",["2.HSM11"]],
["3.(2x2^(1+8)):(U4(2):2x2)",["3x(2x2^(1+8)):U4(2):2"]],
["3.(3^(1+4).[2^7.3])",["6.(3^(1+4).[2^7.3])"]],
["3.(3xM10):2",["3x(3xA6):2_2"]],
["3.(A4x2(A4xA4).2).2",["6.(A4x2(A4xA4).2).2"]],
["3.(A4x3):2",["NDG(12.M22,3^2)","2x3.(A4x3):2","6.(A4x3).2"]],
["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)"]],
["3.2E6(2).2",["3.2E6(2)"]],
["3.2E6(2)M4",["3x2.F4(2)","(2^2x3).2E6(2)M4"]],
["3.2E6(2)M5",["6.2E6(2)M5","(2^2x3).2E6(2)M5"]],
["3.2E6(2)M8",["6.Fi22","(2^2x3).2E6(2)M8"]],
["3.2E6(2)M9",["6.2E6(2)M9","(2^2x3).2E6(2)M9"]],
["3.2^(2+4):(S3xS3)",["3.2^(2+4):(3x3):2"]],
["3.2^4:a7",["3.2^(2+4):(3x3):2"]],
["3.3^(1+4):2S5",["3.3^4.3^2.Q8"]],
["3.3^(1+4):4S5",["3.3^(1+4):2S5"]],
["3.3^(2+4):2(A4x2^2).2",["6.SuzM11"]],
["3.3^(2+4):2(S4xD8)",["3.3^(2+4):2(A4x2^2).2"]],
["3.3^5:U4(2):2",["6.(3^5:U4(2):2)"]],
["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"]],
["3.A6.2^2",["3.A6.2_1","3.A6.2_2","3.A6.2_3","3.A6.(2x4)","(3.A6.2_2xA5):2"]],
["3.A6.2_1",["3.A6","6.A6.2_1","2^6:3.s6","2^(4+6):3S6","3^(1+2):D8"]],
["3.A6.2_2",["3.A6","6.A6.2_2","Isoclinic(6.A6.2_2)","(2x3.A6).2"]],
["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"]],
["3.A6M2",["6.A6M2"]],
["3.A6M5",["6.A6M5"]],
["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"]],
["3.A7.2",["3.A7","6.A7.2","Isoclinic(6.A7.2)","(7:3x3):2","6^2:D12","3^(1+2):D8"]],
["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"]],
["3.F3+.2",["3.F3+.2N7","(3^(1+2):2^2xG2(3)):2","3.F3+","(S3x2.Fi22).2"]],
["3.F3+.2N5",["3.F3+N5"]],
["3.F3+.2N7",["3xF3+N7"]],
["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)"]],
["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"]],
["3.Fi22M5",["6.Fi22M5","6.U6(2)M3"]],
["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"]],
["3.G2(3).2",["3.G2(3)"]],
["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)"]],
["3.J3.2",["3.J3","3.(3xM10):2","3^3.3^(1+2):8.2","(3xL2(16):2).2"]],
["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"]],
["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"]],
["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"]],
["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"]],
["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"]],
["3.L3(4).3",["3.L3(4)","(2^2x3).L3(4).3"]],
["3.L3(4).3.2_2",["3.L3(4).2_2","3.L3(4).3"]],
["3.L3(4).3.2_3",["3.L3(4).2_3","3.L3(4).3"]],
["3.L3(4).6",["3.L3(4)","3.L3(4).2_1","3.L3(4).3"]],
["3.L3(4)M7",["6.L3(4)M7"]],
["3.L3(4)M8",["6.L3(4)M8"]],
["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"]],
["3.L3(7).2",["3.L3(7)"]],
["3.L3(7).3",["3.L3(7)"]],
["3.L3(7).S3",["3.L3(7).2","3.L3(7).3"]],
["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"]],
["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"]],
["3.M22M2",["6.M22M2","12.M22M2"]],
["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)"]],
["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"]],
["3.McL.2N3",["3.3^4.3^2.Q8"]],
["3.McL.2N5",["3x5^(1+2):3:8"]],
["3.McLM10",["3.2^(2+4):(3x3):2"]],
["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"]],
["3.O7(3).2",["3.O7(3)","6.O7(3).2","Isoclinic(6.O7(3).2)"]],
["3.O7(3)M11",["6.O7(3)M11"]],
["3.O7(3)M5",["6.O7(3)M5"]],
["3.O7(3)M8",["6.O7(3)M8"]],
["3.O7(3)M9",["6.O7(3)M9"]],
["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"]],
["3.ON.2",["(3xONN2).2","3.ON.2N3","3.ON.2M4","3.ON.2N7","3.ON"]],
["3.ON.2M4",["3.ONM5"]],
["3.ON.2N3",["3.ONM6"]],
["3.ON.2N7",["3x7^(1+2):(D8x3)"]],
["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'"]],
["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}"]],
["3.U3(11).2",["3.U3(11)"]],
["3.U3(11).3",["3.U3(11)"]],
["3.U3(11).S3",["3.U3(11).2","3.U3(11).3"]],
["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"]],
["3.U3(5).2",["3.U3(5)"]],
["3.U3(5).3",["3.U3(5)"]],
["3.U3(5).S3",["3.U3(5).2","3.U3(5).3"]],
["3.U3(8).2",["3.U3(8)"]],
["3.U3(8).3_1",["3.U3(8)"]],
["3.U3(8).3_2",["3.U3(8)"]],
["3.U3(8).6",["3.U3(8)","3.U3(8).2","3.U3(8).3_1"]],
["3.U3(8).S3",["3.U3(8).2","3.U3(8).3_2"]],
["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)"]],
["3.U6(2).2",["3.U6(2)","6.U6(2).2","Isoclinic(6.U6(2).2)","(2^2x3).U6(2).2"]],
["3.U6(2).3",["3.U6(2)","(2^2x3).U6(2).3"]],
["3.U6(2).3.2",["3.U6(2).2","3.U6(2).3"]],
["3.U6(2)M10",["6.U6(2)M10","(2^2x3).U6(2)M10"]],
["3.U6(2)M12",["(2^2x3).U6(2)M12"]],
["3.U6(2)M13",["6.U6(2)M13","(2^2x3).U6(2)M13"]],
["3.U6(2)M3",["6.U6(2)M3"]],
["3.U6(2)M5",["(2^2x3).U6(2)M5","6_1.U4(3).2_2"]],
["3.U6(2)M6",["6.U6(2)M6","(2^2x3).U6(2)M6"]],
["3.U6(2)M9",["6.U6(2)M9","(2^2x3).U6(2)M9"]],
["3.s7x2",["3.A7.2"]],
["31:30",["31:15"]],
["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"]],
["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)"]],
["3D4(3)",["G2(3)"]],
["3D4(4)",["G2(4)","L3(4).3","3D4(2)"]],
["3^(1+10):(2xU5(2):2)",["3^(1+10)_+:(2x2^(1+6)_-:3^(1+2)_+:2S4)"]],
["3^(1+10):U5(2):2",["3^(1+10)_+:2^(1+6)_-:3^(1+2)_+:2S4"]],
["3^(1+12).2.Suz.2",["3^(1+12):6.Suz.2","3^(1+12).(2xU5(2).2)"]],
["3^(1+12):6.Suz.2",["6.Suz.2"]],
["3^(1+2)+:2S4",["(3x3^(1+2)+:2A4).2","3^(1+2)+:2A4"]],
["3^(1+2):4",["(3^(1+2)_+:2x13:6).2","3^(1+2)_+:2","6.A6M3"]],
["3^(1+2):8",["2.J2N3"]],
["3^(1+2):D8",["3^(1+2):4","2^6:3^(1+2).D8","M12N3"]],
["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"]],
["3^(1+2)_+:Q8",["12.M22N3","(3^(1+2):4xD10).2","3^(1+2):4","Isoclinic(2x3^(1+2)_+:Q8)"]],
["3^(1+4)+.4S4",["3^(1+4)_+.2S4"]],
["3^(1+4).2U4(2).2",["3^(1+4).2U4(2)"]],
["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])"]],
["3^(1+4):2S5",["3.3^(1+4):2S5","3^4.3^2.Q8"]],
["3^(1+4):4A5",["HNN3"]],
["3^(1+4):4S5",["3.3^(1+4):4S5","3^(1+4):2S5"]],
["3^(1+4)_+.2S4",["4.3^(1+4)_+.2S4","3^2.(3^(1+4)_+.2S4)"]],
["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)"]],
["3^(1+6)_+:2^(3+4):(S3xS3)",["3^(1+6):2^(3+4):3^2:2"]],
["3^(2+4):2(S4xD8)",["3^2+4:2(2^2xa4)2","3.3^(2+4):2(S4xD8)"]],
["3^(2+4):2A5.D8",["3.3^(1+4):4S5"]],
["3^(3+3):L3(3)",["3.(3^(3+3):L3(3))","2x3.(3^(3+3):L3(3))"]],
["3^(3+3)b:L3(3)",["2x3^(3+3)b:L3(3)"]],
["3^(3+4):2(S4xS4)",["3^(3+4):(2.S4)^2"]],
["3^1+4:4s6",["Co3N3"]],
["3^12.6.Suz.2",["3^(1+12):6.Suz.2"]],
["3^2",["3^(1+2)_+"]],
["3^2+4:2(2^2xa4)2",["3.3^(2+4):2(A4x2^2).2","2.SuzM11","6.SuzM11"]],
["3^2.(3x3^(1+2)+):2^2",["3^3.(3x3^(1+2)+):2^2"]],
["3^2.(3x3^(1+2)+):D8",["3^2.(3x3^(1+2)+):2^2"]],
["3^2.3^(1+2):8",["3^3.3^(1+2):8"]],
["3^2.3^(1+2):8.2",["3^3.3^(1+2):8.2","3^2.3^(1+2):8"]],
["3^2.U4(3)",["3^2.(3^4:A6)","3^2.(3^(1+4)_+.2S4)","(3^2x2).U4(3)"]],
["3^2.U4(3).(2^2)_{133}",["3^2.U4(3)","3^2.U4(3).2_3'"]],
["3^2.U4(3).2_3'",["3^2.U4(3)","(3^2x2).U4(3).2_3'","Isoclinic((3^2x2).U4(3).2_3')"]],
["3^2.U4(3).D8",["(3^2x2).U4(3).D8","3^2.U4(3)"]],
["3^2:2",["3^(1+2)_+:2"]],
["3^2:2A4",["3^2:Q8"]],
["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"]],
["3^2:8",["6.A6M3"]],
["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"]],
["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"]],
["3^3.3^(1+2):8.2",["3^3.3^(1+2):8"]],
["3^3.S4",["(2x3^3).S4"]],
["3^3:(S3x2)",["3^3:S3","(3x3^3:S3):2"]],
["3^3:S4`",["(2x3^3).S4`"]],
["3^4.2U4(2)",["3^(1+4).2U4(2)","2.U4(2)"]],
["3^4.2U4(2).2",["3^(1+4).2U4(2).2","3^4.2U4(2)","2.U4(2).2"]],
["3^4.3^2.Q8",["3.3^4.3^2.Q8"]],
["3^4:(2xA6)",["2xA6","3^4:A6"]],
["3^4:(3^2:Q8)",["3.3^4.3^2.Q8"]],
["3^4:(M10x2)",["3^5:(M10x2)","3^4:m10"]],
["3^4:2(A4xA4).4",["3^4.(3xSL(2,3)).2"]],
["3^4:2(S4xS4).2",["3^4:2(A4xA4).4"]],
["3^4:2^(1+4).(5:4)",["3.ON.2N3","3^4:2^(1+4)D10"]],
["3^4:2^(1+4)D10",["3.ONM6"]],
["3^4:2^3.S4",["2.3^4.2^3.S4"]],
["3^4:2^3.S4(a)",["(2^2x3^4).2^3.S4","(2x3^4:2^3).S4"]],
["3^4:3^2:D8",["3^4.3^2:4"]],
["3^4:A6",["A6","3^2.(3^4:A6)"]],
["3^4:S5",["A5.2"]],
["3^4:S6",["3^4:A6"]],
["3^4:m10",["A6.2_3","3^5:M10","3^4.3^2.Q8","3^4:A6"]],
["3^5.U4(2)",["3.3^5.U4(2)"]],
["3^5:(2xU4(2).2)",["3^5:U4(2):2"]],
["3^5:(3^2:SD16)",["3.3^5:(3^2:SD16)","2x3.3^5:(3^2:SD16)"]],
["3^5:(M10x2)",["3^5:M10"]],
["3^5:(M11x2)",["3^5:M11","3^6:(M11x2)"]],
["3^5:M10",["3.3^4.3^2.Q8"]],
["3^5:M11",["M11","3^6.M11"]],
["3^5:U4(2)",["U4(2)"]],
["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"]],
["3^6:(L4(3)x2)",["L4(3)x2"]],
["3^6:(M11x2)",["3^6.M11"]],
["3^6:2M12",["2.M12"]],
["3^6:2U4(3).2_1",["Isoclinic(2.U4(3).2_1)"]],
["3^6:L3(3)",["L3(3)"]],
["3^6:L4(3)",["L4(3)"]],
["3^7.O7(3):2",["3^7.O7(3)"]],
["3^7:O7(3)",["O7(3)"]],
["3_1.U4(3)",["12_1.U4(3)","3^2.U4(3)","6_1.U4(3)"]],
["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'"]],
["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)"]],
["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"]],
["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')"]],
["3_2.U4(3)",["12_2.U4(3)","3^2.U4(3)","6_2.U4(3)","(3^2x2).U4(3)"]],
["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'"]],
["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)"]],
["3_2.U4(3).2_3",["12_2.U4(3).2_3","3_2.U4(3)","6_2.U4(3).2_3"]],
["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')"]],
["3x(2^2xU4(2)):2",["3x2.(2^2xU4(2)).2"]],
["3x(A4x7:3):2",["3x(SL(2,3)x7:3).2"]],
["3x(A5xD10).2",["3x(2.A5xD10).2"]],
["3x11:10",["3x11:20"]],
["3x11:5",["12x11:5","6x11:5"]],
["3x13:6",["6x13:6","3x(2x13).6"]],
["3x2.2^(1+8)_+:U4(2)",["3x2^2.2^(1+8)_+:U4(2)"]],
["3x2.2^(4+8):(S3xA5)",["3x2^2.2^(4+8):(S3xA5)"]],
["3x2.F4(2)",["(2^2x3).2E6(2)M4"]],
["3x2.M22M5",["3x4.M22M5"]],
["3x2.M22N2",["3x4.M22N2"]],
["3x2^(1+6)_-.U4(2)",["3x2.SuzM4"]],
["3x2^(1+8)_+:U4(2)",["3x2.2^(1+8)_+:U4(2)","3x2^2.2^(1+8)_+:U4(2)"]],
["3x2^(2+8):(A5xS3)",["3x2.SuzM9"]],
["3x2^(4+6).3A6",["3x2.SuzM7"]],
["3x2^(4+8):(S3xA5)",["3x2.2^(4+8):(S3xA5)","3x2^2.2^(4+8):(S3xA5)"]],
["3x2^5.A5",["3x4_1.2^4:A5","3x4_2.2^4:A5"]],
["3x5:4xS5",["6x5:4xS5"]],
["3x5^2:(4xS3)",["3x2.J2.2N5"]],
["3xA5",["3x2.A5"]],
["3xA5.2",["3xIsoclinic(2.A5.2)"]],
["3xD10",["3x2.D10"]],
["3xD8",["6.A6N2"]],
["3xF4(2)",["6x2.F4(2)"]],
["3xFi22N2",["3x2.Fi22N2"]],
["3xFi22N5",["6xFi22N5"]],
["3xG2(4)",["3x2.G2(4)"]],
["3xJ2.2",["3x2.J2.2"]],
["3xL2(11)",["6xL2(11)","3x2.(2xL2(11))"]],
["3xL2(25)",["3x2.L2(25)"]],
["3xL3(2)",["6xL3(2)","3x2.L3(2)","2^{3+6}:(L3(2)x3)"]],
["3xL3(3).2",["3x(2xL3(3)).2"]],
["3xL4(3).2_2",["3x2.L4(3).2_2"]],
["3xM12.2",["3xIsoclinic(2.M12.2)"]],
["3xMcLN2",["3x2.M22N2","3x4.M22N2"]],
["3xO8+(2):S3",["6xO8+(2):S3"]],
["3xS3x7:6",["6xS3x7:6"]],
["3xS3xU4(2)",["6xS3xU4(2)","2^2x3xS3xU4(2)"]],
["3xS6(2)",["6xS6(2)","2^2x3xS6(2)","3x2.S6(2)"]],
["3xS6xS4",["3x2.(S6xS4)"]],
["3xS9",["3xIsoclinic(2.A9.2)"]],
["3xSuzN2",["3x2.SuzN2"]],
["3xSymm(4)",["3x2.Symm(4)"]],
["3xU4(2)",["3x2.SuzM4","3x2^(1+6)_-.U4(2)","A4xU4(2)","2.(A4xU4(2))"]],
["3xU5(2)",["2^2x3xU5(2)","6xU5(2)"]],
["4(A4xA4).4",["2(A4xA4).2^2"]],
["4.2^4.S5",["2.HSM10","4.2^4:(2xS3)","4.2^4","4.2^4:S4"]],
["4.2^4:(2xS3)",["S4x2^2"]],
["4.A6.2_3",["Isoclinic(2.A6x2)","12.A6.2_3"]],
["4.HS.2",["2.HS.2","Isoclinic(2.HSx2)"]],
["4.L2(25).2_3",["Isoclinic(2.L2(25)x2)"]],
["4.L2(49).2_3",["Isoclinic(2.L2(49)x2)"]],
["4.L2(81).2_3",["Isoclinic(2.L2(81)x2)"]],
["4.L2(81).4_2",["Isoclinic(2.L2(81)x2)"]],
["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))"]],
["4.M22.2",["12.M22.2","4.M22"]],
["4.M22M2",["12.M22M2"]],
["4.U4(3)",["2.(2x3^4:A6)","4.3^(1+4)_+.2S4","12_1.U4(3)","12_2.U4(3)"]],
["4.U4(3).2_1",["12_1.U4(3).2_1","12_2.U4(3).2_1","4.U4(3)"]],
["4.U4(3).2_2",["12_1.U4(3).2_2","12_1.U4(3).2_2'","4.U4(3)"]],
["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)"]],
["4.U4(3).4",["4.U4(3)","4.U4(3).2_1"]],
["4^2:D12",["2^2.(U3(3).2xS4)","4^2:s3"]],
["4^2:D12.2",["4^2:D12"]],
["4^3.(L3(2)x2)",["4^3.L3(2)"]],
["4^3.D8",["3xONN2"]],
["4^3:(L3(2)x2)",["4^3:psl(3,2)"]],
["4^3:psl(3,2)",["2.4^3.L3(2)","4^3:S4"]],
["4_1.2^4:A5",["3x4_1.2^4:A5"]],
["4_1.L3(4)",["12_1.L3(4)","(2x4).L3(4)","4_1.2^4:A5"]],
["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*"]],
["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"]],
["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*"]],
["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"]],
["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*"]],
["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"]],
["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*"]],
["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"]],
["4_1.L3(4).2_1",["12_1.L3(4).2_1","4_1.L3(4)"]],
["4_1.L3(4).2_2",["12_1.L3(4).2_2","4_1.L3(4)"]],
["4_1.L3(4).2_3",["12_1.L3(4).2_3","4_1.L3(4)"]],
["4_1.L3(4).2_3*",["4_1.L3(4)"]],
["4_2.2^4:A5",["3x4_2.2^4:A5"]],
["4_2.L3(4)",["12_2.L3(4)","(2x4).L3(4)","4_2.2^4:A5"]],
["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)"]],
["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"]],
["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)"]],
["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"]],
["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)"]],
["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"]],
["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)"]],
["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"]],
["4_2.L3(4).2_1",["12_2.L3(4).2_1","4_2.L3(4)"]],
["4_2.L3(4).2_2",["12_2.L3(4).2_2","4_2.L3(4)"]],
["4_2.L3(4).2_2*",["4_2.L3(4)"]],
["4_2.L3(4).2_3",["12_2.L3(4).2_3","4_2.L3(4)"]],
["4x11:5",["12x11:5"]],
["4x7:3",["12x7:3","7:3"]],
["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"]],
["5:4x3",["3xIsoclinic(2x5:8)","3xD10","3x5:8","5:4","6x5:4"]],
["5:4xA4",["NDG(2.HS,Q8)","5:4x2^2"]],
["5:4xS5",["6x5:4xS5","5:4xa5","(A5xD10).2"]],
["5:4xS5x2",["6x5:4xS5","5:4xS5"]],
["5:4xU3(5).2N2",["(D10xU3(5)N2).2"]],
["5:4xU3(5):2",["5:4xU3(5).2N2","(D10xU3(5)).2"]],
["5:4xa5",["5:4x2.A5","5:4xA4"]],
["5:8",["(2.D10xA6).2","(2.D10x3.A6).2_3","(3x2.D10).2","bd10"]],
["5^(1+2):(24:2)",["3.McL.2N5","5^(1+2):3:8"]],
["5^(1+2):(8.2)",["5^(1+2):8:4"]],
["5^(1+2):3:8",["3x5^(1+2):3:8"]],
["5^(1+2):GL2(5)",["2x5^(1+2):GL2(5)","Co1N5"]],
["5^(1+4):2^(1+4).5.4",["HNN5","2.HS.2N5"]],
["5^(1+4):4S6",["5^(1+4):4.3^2:D8"]],
["5^(1+4)_+:(4Y2^(1+4)_-.5.4)",["5^(1+4):2^(1+4).5.4"]],
["5^(1+6):2.J2.4",["MN5"]],
["5^1+2:(2^5)",["5^(1+2):(4x4):4"]],
["5^2.5.5^2.4A5",["HNN5"]],
["5^2.5.5^2.4S5",["5^2.5.5^2.4A5"]],
["5^2:(4xS3)",["2.J2.2N5","3x2.J2.2N5","5^2:D12"]],
["5^2:12",["(2x5^2).12"]],
["5^2:4S4xS5",["(5^2:4S4x2.A5):2"]],
["5^2:D12",["2.J2M8"]],
["5^3:(4xS5)",["5^3:(4x(2xA5).2)"]],
["6.2E6(2)",["6.Fi22","6xF4(2)","3x2.F4(2)","6.2E6(2)M5","2x3.Fi22","6.2E6(2)M9","(2^2x3).2E6(2)"]],
["6.2E6(2).2",["6.2E6(2)"]],
["6.2E6(2)M5",["(2^2x3).2E6(2)M5"]],
["6.2E6(2)M9",["(2^2x3).2E6(2)M9"]],
["6.A6",["6.A6N2","3x2.D10","3x2.A5","6.A6M2","3x2.Symm(4)","6.A6M5","6.A6M3"]],
["6.A6.2_1",["6.A6","(3x2.D10).2"]],
["6.A6.2_2",["6.A6"]],
["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"]],
["6.A7.2",["6.A7","(7:3x3):4"]],
["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)"]],
["6.Fi22.2",["6.Fi22","(2^2x3).U6(2).2"]],
["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)"]],
["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)"]],
["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"]],
["6.L3(4).(2^2)_{1*23*}",["Isoclinic(6.L3(4).2_1)","6.L3(4).2_2","Isoclinic(6.L3(4).2_3)"]],
["6.L3(4).(2^2)_{1*23}",["Isoclinic(6.L3(4).2_1)","6.L3(4).2_2","6.L3(4).2_3"]],
["6.L3(4).(2^2)_{12*3*}",["6.L3(4).2_1","Isoclinic(6.L3(4).2_2)","Isoclinic(6.L3(4).2_3)"]],
["6.L3(4).(2^2)_{12*3}",["6.L3(4).2_1","Isoclinic(6.L3(4).2_2)","6.L3(4).2_3"]],
["6.L3(4).(2^2)_{123*}",["6.L3(4).2_1","6.L3(4).2_2","Isoclinic(6.L3(4).2_3)"]],
["6.L3(4).(2^2)_{123}",["6.L3(4).2_1","6.L3(4).2_2","6.L3(4).2_3"]],
["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"]],
["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"]],
["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"]],
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["6.M22.2",["6.L3(4).2_2","12.M22.2","Isoclinic(12.M22.2)","6.M22"]],
["6.M22M2",["12.M22M2"]],
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["6.O7(3).2",["6.O7(3)"]],
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["6.Suz.2",["(3^(1+2):8x2.A6).2","3^(1+12):6.Suz.2","3^12.6.Suz.2","6.Suz"]],
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["6.U6(2).2",["6.L3(4).(2^2)_{123}","6.U6(2)","(2^2x3).U6(2).2"]],
["6.U6(2)M10",["(2^2x3).U6(2)M10"]],
["6.U6(2)M13",["(2^2x3).U6(2)M13"]],
["6.U6(2)M3",["(2^2x3).U6(2)M3"]],
["6.U6(2)M6",["(2^2x3).U6(2)M6"]],
["6.U6(2)M9",["(2^2x3).U6(2)M9"]],
["6^2:D12",["3.(A4x3):2"]],
["6_1.U4(3)",["12_1.U4(3)","(3^2x2).U4(3)"]],
["6_1.U4(3).2_1",["12_1.U4(3).2_1","6_1.U4(3)"]],
["6_1.U4(3).2_2",["(2^2x3).U6(2)M5","12_1.U4(3).2_2","6_1.U4(3)"]],
["6_1.U4(3).2_2'",["12_1.U4(3).2_2'","Isoclinic(12_1.U4(3).2_2')","6_1.U4(3)"]],
["6_2.U4(3)",["12_2.U4(3)","(3^2x2).U4(3)","(3^2x4).U4(3)"]],
["6_2.U4(3).2_1",["12_2.U4(3).2_1","6_2.U4(3)"]],
["6_2.U4(3).2_3",["12_2.U4(3).2_3","6_2.U4(3)"]],
["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'"]],
["6x11:5",["12x11:5","2x6x11:5"]],
["6x5:4",["3xIsoclinic(2x5:8)"]],
["6x7:3",["12x7:3"]],
["6xF4(2)",["6x2.F4(2)"]],
["6xO8+(2):S3",["6xFi22N5"]],
["6xS3xU4(2)",["2^2x3xS3xU4(2)"]],
["6xS6(2)",["2^2x3xS6(2)"]],
["6xU5(2)",["2^2x3xU5(2)"]],
["7:12",["2x7:3"]],
["7:3",["12x7:3","2x7:3"]],
["7:3x3",["12x7:3","6x7:3"]],
["7:3xS3",["7:3x3"]],
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["7:6xL3(2)",["7:3xpsl(3,2)"]],
["7^(1+2):(S3x6)",["7^(1+2):(S3x3)"]],
["7^(1+2)_+:(3xD16)",["3.ON.2N7","7^(1+2):(D8x3)"]],
["7^(1+2)_+:(6xS3).2",["3.F3+.2N7","7^(1+2):(S3x6)"]],
["7^(1+4):(3x2.S7)",["7^1+4.2A7"]],
["7^2:(3x2A4)",["2x7^2:(3x2A4)"]],
["7^2:(3x2S4)",["(7^2:(3x2A4)xL2(7)).2","7^2:(3x2A4)","BN7"]],
["7^2:2.L2(7).2",["7^2:2psl(2,7)"]],
["7^2:2psl(2,7)",["7^(1+2).Sp(2,7)"]],
["9.U3(8).3_3",["Isoclinic(3.U3(8)x3)"]],
["A10",["2.A10","A6.2_3","A8.2","A9","(A7x3).2","(A5xA5):4","(A6xA4).2","mo62"]],
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["A11",["2.A11","A10","A9.2","M11","(A8x3).2","(A7xA4):2","(A6xA5):2","A11Syl2"]],
["A11.2",["2.A11.2","Isoclinic(2.A11.2)","A10.2","A11","S9x2","S8xS3","S7xS4","S6xS5","11:10"]],
["A11Syl2",["LyN2"]],
["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"]],
["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"]],
["A13",["2.A13","A11.2","A12","L3(3)","(A10x3):2","(A9xA4):2","(A8xA5):2","(A7xA6):2","13:6"]],
["A13.2",["2.A13.2","Isoclinic(2.A13.2)","A12.2","A13","S11x2","S10xS3","S9xS4","S8xS5","S7xS6","13:12"]],
["A14",["A12.2","A13","2^6:S7","L2(13)","(A5xA9):2"]],
["A14.2",["2.A14.2","Isoclinic(2.A14.2)","A13.2","A14"]],
["A15.2",["2.A15.2","A15"]],
["A16.2",["2.A16.2","A16"]],
["A17",["(A5xA12):2"]],
["A17.2",["2.A17.2","A17"]],
["A18.2",["2.A18.2","A18"]],
["A19.2",["A19"]],
["A4xS3",["2^(4+8):(A4xS3)","2.A4xS3"]],
["A4xU4(2)",["2.(A4xU4(2))"]],
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["A5xA5",["2.A5xA5"]],
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["A6.2_2",["2.A6.2_2","Isoclinic(2.A6.2_2)","3.A6.2_2","6.A6.2_2","A6","D16","j3m6","D20"]],
["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"]],
["A6M2",["2.A6M2","3.A6M2","6.A6M2"]],
["A6M5",["2.A6M5","3.A6M5","6.A6M5"]],
["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"]],
["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"]],
["A7xS3",["D8xS3","2^3.S3","2xA7","S4xS3","2^(6+8):(A7xS3)"]],
["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"]],
["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"]],
["A8.2N2",["s61p"]],
["A8xS3",["2^3:L3(2)xS3","2xA8","2^(2+12):(A8xS3)"]],
["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"]],
["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"]],
["A9xS3",["2.A9xS3"]],
["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"]],
["C3",["3xIsoclinic(2x5:8)","3x2.M22N2"]],
["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"]],
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["Co1N5",["2xCo1N5"]],
["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"]],
["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"]],
["D10",["3x2.D10","D110","bd10","D120"]],
["D10xA5",["2.D10xA5"]],
["D14",["D126","2.D14","D28"]],
["D16",["D8","2.D16"]],
["D18",["2.D18"]],
["D20",["D10","2.D20"]],
["D22",["2.D22"]],
["D24",["(11:5xD12).2","S3x2","2.D24","D120"]],
["D26",["2.D26"]],
["D28",["2^2xD14","2.D28"]],
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["U3(11).S3",["3.U3(11).S3","U3(11).2","U3(11).3"]],
["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"]],
["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)"]],
["U3(4)",["13:3","5xA5","2^(2+4):15","5^2:S3"]],
["U3(4).2",["2^(2+4):(3xD10)","Isoclinic(2xU3(4).2)","13:6","5^2:D12","a5xd10","U3(4)"]],
["U3(4).4",["5^2:(4xS3)","U3(4)","U3(4).2"]],
["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)"]],
["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)"]],
["U3(5).2N2",["M11N2"]],
["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)"]],
["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"]],
["U3(5)M2",["3.U3(5)M2"]],
["U3(5)M3",["3.U3(5)M3"]],
["U3(5)M6",["3.U3(5)M6"]],
["U3(5)M7",["3.U3(5)M7"]],
["U3(7)",["L3(2).2","43:3","2(L2(7)x4).2","7^(1+2):48","8^2:S3"]],
["U3(7).2",["U3(7)"]],
["U3(8)",["19:3","3xL2(8)","3^2:2A4","U3(8)M4","U3(8)M5","(9x3).S3","2^(3+6):21","3.U3(8)"]],
["U3(8).(S3x3)",["U3(8).6","U3(8).3^2"]],
["U3(8).2",["3.U3(8).2","U3(8)"]],
["U3(8).3^2",["U3(8)","U3(8).3_1","U3(8).3_2","U3(8).3_3"]],
["U3(8).3_1",["19:9","3.U3(8).3_1","U3(8)"]],
["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)"]],
["U3(8).3_3",["Isoclinic(U3(8).3_3x3)","9.U3(8).3_3","U3(8)"]],
["U3(8).6",["(A5xU3(8):3):2","3.U3(8).6","U3(8)","U3(8).2","U3(8).3_1"]],
["U3(8).S3",["3.U3(8).S3","U3(8).2","U3(8).3_2"]],
["U3(9)",["A6.2_2","73:3","5xIsoclinic(2.A6.2_2)","10^2:S3","3^(2+4):80"]],
["U3(9).2",["U3(9)"]],
["U3(9).4",["U3(9)","U3(9).2"]],
["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)"]],
["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)"]],
["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)"]],
["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'"]],
["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'"]],
["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"]],
["U4(3).2_1M10",["U4(3)M9"]],
["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)"]],
["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)"]],
["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"]],
["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)"]],
["U4(3).4",["4x7:3","2.U4(3).4","4.U4(3).4","U4(3)","U4(3).2_1"]],
["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"]],
["U4(4)",["S4(4)"]],
["U4(4).4",["U4(4)"]],
["U4(5)",["S4(5).2"]],
["U4(5).2^2",["U4(5)","U4(5).2_1","U4(5).2_2","U4(5).2_3"]],
["U4(5).2_1",["U4(5)"]],
["U4(5).2_2",["U4(5)"]],
["U4(5).2_3",["U4(5)"]],
["U5(2)",["L2(11)","3xU4(2)","S3x3^(1+2)+:2A4","2^{1+6}:3^{1+2}:2A4","2^(4+4):(3xA5)","3^4:S5"]],
["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)"]],
["U5(3)",["4.U4(3).4","U4(2).2"]],
["U5(4)",["U4(4)"]],
["U5(4).2",["U5(4)"]],
["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)"]],
["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"]],
["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"]],
["U6(2).3.2",["2^2.U6(2).3.2","U6(2).2","U6(2).3","3.U6(2).3.2"]],
["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"]],
["U6(2)M12",["2.M22","3.U6(2)M12","2^2.U6(2)M12","(2^2x3).U6(2)M12"]],
["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"]],
["U6(2)M5",["3.U6(2)M5","2^2.U6(2)M5","(2^2x3).U6(2)M5"]],
["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"]],
["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"]],
["V4",["Q8"]],
["[2^20]:(S3xL3(2))",["2.F4(2)M5"]],
["a4",["2^4:A4","2.L2(3)"]],
["a4xa5",["2A4xA5"]],
["a5wc2",["2.(A5wr2)","2^(1+8).(A5xA5).2","h4"]],
["a5xd10",["2A5xD10"]],
["b33141",["2.(2.(A4xA4).2)"]],
["f22s2",["2.Fi22N2","3x2.Fi22N2"]],
["frob",["29:14"]],
["gl25",["5^(2+2+4):(S3xGL2(5))","5^2:4s5","5^(1+2):GL2(5)","5^(1+4):GL(2,5)"]],
["j3m4",["2^4:A5","2^(4+4):(3xA5)"]],
["j3m6",["3x(3xA6):2_2"]],
["mo61",["2^4:(S3xS3)"]],
["mo62",["A5.2","P1/G1/L1/V1/ext2","2^(1+4).S5","mo62p"]],
["mo81",["2^6:A8"]],
["mx1j4",["M24","2^11.2^6.3^(1+2).D8"]],
["s2wrs2",["2.HSN3"]],
["s2wrs3",["A6M5"]],
["s2wrs4",["2^4:A4","(2^4:A4xA4).2","2^3.S4v2"]],
["s3wrs2",["2.A8N3","3^2:4","S3xS3"]],
["s3wrs3",["2.(3^3:(S4x2))","3^3:S4`"]],
["s4",["(A4x11:5).2","(13:6xA4).2","(2^4:A4xA4).2","2.Symm(4)","3xSymm(4)","3x2.Symm(4)","(a4xpsl(3,4)):2","a4"]],
["s5wrs2",["(A7x(A5xA5):2^2):2","(A5xA5):2^2"]],
["s61p",["2^4:D8"]],
["twd5a",["3^1+4:2^1+4.s5","affine"]],
["w(f4)",["2^(1+4)_+.(S3x3^2:2)","b33141"]]
]
]