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📄 tmstdrd.tom

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["M12",        "Y", "a, b",
                    "|z|=4, z^2=a, |b|=3, |C(b)|=36, |ab|=11" ],
["M12.2",      "Y", "c, d",
                    "|c|=2, |C(c)|=240, |d|=3, |C(d)|=108, |cd|=12" ],

["L2(59)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=59" ],

["L2(61)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=61" ],

["U3(5)",      "Y", "a, b",
                    "|a|=3, |z|=10, z^2=b, |ab|=7" ],
["U3(5).2",    "Y", "c, d",
                    "|c|=2, |C(c)|=240, |z|=8, z^2=d, |cd|=10,\
 |(cd)^2ddcdd|=2" ],
#["U3(5).3",    "N", "e, f",
#                    "|e|=2, |f|=6, |C(f)|=24, |C(f^2)|=480, |ef|=21,\
# |ef^3|=3" ],
["U3(5).S3",   "N", "g, h",
                    "|z|=24, z^8=g, |h|=12, |C(h)|=12, |gh|=6, |ghh|=30" ],

["L2(67)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=67" ],

["J1",         "Y", "a, b",
                    "|a|=2, |b|=3, |ab|=7, |ababb|=19" ],

["L2(71)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=71" ],

["A9",         "Y", "a, b",
                    "|z|=15, z^5=a, |b|=7, |ab|=9" ],
["S9",         "N", "c, d",
                    "|z|=14, z^7=c, |d|=8, |cd|=9" ],

["L2(73)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=73" ],

["L2(79)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=79" ],

["L2(64)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=63, |ababb|=13" ],

["L2(81)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=10, |ababb|=10" ],

["L2(83)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=83" ],

["L2(89)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=89" ],

["L3(5)",      "Y", "a, b",
                    "|z|=10, z^2=a, |b|=3, |ab|=20" ],

["M22",        "Y", "a, b",
                    "|a|=2, |z|=8, z^2=b, |ab|=11, |ababb|=11" ],
["M22.2",      "Y", "c, d",
                    "|z|=14, z^7=c, |d|=4, |C(d)|=96, |cd|=11" ],

["L2(97)",     "N", "a, b",
                    "|a|=2, |b|=3, |ab|=97" ],

["L2(101)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=101" ],

["L2(103)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=103" ],

["J2",         "Y", "a, b",
                    "|z|=10, z^5=a, |b|=3, |C(b)|=36, |ab|=7" ],
["J2.2",       "Y", "c, d",
                    "|y|=14, y^2=c, |z|=15, z^3=d, |cd|=14" ],

["L2(107)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=107" ],

["L2(109)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=109" ],

["L2(113)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=113" ],

["L2(121)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=61, |ababb|=12" ],

["L2(125)",    "N", "a, b",
                    "|a|=2, |b|=3, |ab|=63, |ababb|=7" ],

["S4(4)",      "Y", "a, b",
                    "|a|=2, |C(a)|=3840, |b|=5, |C(b)|=15, |ab|=17,\
 |ababb|=15" ],
["S4(4).2",    "Y", "c, d",
                    "|c|=2, |C(c)|=1440, |d|=4, |C(d)|=96, |cd|=17, |cdd|=4" ],

["S6(2)",      "Y", "a, b",
                    "|z|=10, z^5=a, |b|=7, |ab|=9" ],
["2.S6(2)",    "Y", "preimages c, d of a, b",
                    "|d|=7, |cd|=9" ],

["A10",        "Y", "a, b",
                    "|z|=15, z^5=a, |b|=9, |ab|=8, |abb|=12" ],
["S10",        "Y", "c, d",
                    "|z|=14, z^7=c, |d|=9, |cd|=10" ],

["L3(7)",      "N", "a, b",
                    "|a|=2, |b|=7, |C(b)|=49, |ab|=4, |abb|=8" ],

["U4(3)",      "Y", "a, b",
                    "|a|=2, |b|=6, |C(b)|=72, |ab|=7, |(ab)^3(ba)^2bb|=5" ],
["U4(3).2_1",  "N", "c, d",
                    "|z|=8, z^4=c, |d|=10, |cd|=14, |cd^3|=10, |cd^4|=7,\
 |cddcd^3cd|=5" ],
["U4(3).2_3",  "N", "e, f",
                    "|z|=12, z^6=e, |f|=6, |C(f)|=18, |ef|=24,\
 |efef^3efeffef|=6" ],
#["U4(3).(2^2)_133", "N", "a, b",
#                     "|a|=4, |C(a)|=2304, |ab|=6, |abb|=14,\
# |abbababbab^3ab|=10" ],

["G2(3)",       "Y", "a, b",
                     "|a|=2, |z|=9, z^3=b, |ab|=13" ],
["G2(3).2",     "N", "c, d",
                     "|z|=14, z^2=c, |d|=13, |cd|=18, |cdd|=12,\
 |cd^3|=18, |cdcddcddcd^3|=6" ],

["S4(5)",      "Y", "a, b",
                    "|a|=2, |C(a)|=480, |b|=3, |C(b)|=360, |ab|=13,\
 |ababb|=12" ],

["U3(8)",      "N", "a, b",
                    "|a|=2, |b|=19, |ab|=3" ],

["U3(7)",      "N", "a, b",
                    "|a|=2, |b|=3, |ab|=56, |ababb|=8" ],

["L4(3)",      "Y", "a, b",
                    "|y|=10, y^5=a, |z|=8, z^2=b, |ab|=13, |abb|=8" ],

["L5(2)",      "Y", "a, b",
                    "|z|=14, z^7=a, |b|=5, |ab|=21" ],

["M23",        "Y", "a, b",
                    "|a|=2, |b|=4, |ab|=23, |(ab)^4(ba)^2bbabb|=8" ],

["U5(2)",      "Y", "a, b",
                    "|z|=8, z^4=a, |b|=5, |ab|=11" ],

["L3(8)",      "N", "a, b",
                    "|a|=3, |z|=14, z^2=b, |ab|=73, |ab^3|=7, |aab|=73" ],

["2F4(2)'",    "Y", "a, b",
                    "|z|=10, z^5=a, |b|=3, |ab|=13" ],

["A11",        "Y", "a, b",
                    "|z|=21, z^7=a, |b|=9, |ab|=11" ],
["S11",        "Y", "c, d",
                    "|z|=18, z^9=c, |d|=10, |C(d)|=10, |cd|=11" ],

["Sz(32)",     "Y", "a, b",
                    "|a|=2, |b|=4, |ab|=5, |ababb|=25,\
 |(ab)^3(bab)^2bbabb|=25" ],

["L3(9)",      "N", "a, b",
                    "|a|=2, |b|=5, |ab|=80, |abb|=16" ],

["U3(9)",      "N", "a, b",
                    "|a|=2, |b|=5, |C(b)|=100, |ab|=73, |abb|=15,\
 |ab^3ab^3ab|=30" ],

["HS",         "Y", "a, b",
                    "|y|=20, y^10=a, |z|=20, z^4=b, |ab|=11" ],

["J3",         "Y", "a, b",
                    "|a|=2, |z|=6, z^2=b, |ab|=19, |ababb|=19" ],
["J3.2",       "Y", "a, b",
                    "|y|=18, y^9=a, |z|=24, z^8=b, |ab|=24, |ababb|=9" ],

["U3(11)",     "N", "a, b",
                    "|a|=3, |z|=44, z^4=b, |ab|=37, |baa|=20" ],

#["O8+(2)",     "Y", "a, b",
#                    "|a|=2, |C(a)|=3072, |b|=5, |C(b)|=300, |ab|=12,\
# |C(ab)|=24, |abb|=15, |(ab)^4(ba)^2bbabb|=8" ],

["O8-(2)",     "Y", "a, b",
                    "|a|=2, |C(a)|=3072, |z|=9, z^3=b, |ab|=17,\
 |ababb|=17, |(ab)^3b|=30" ],

["3D4(2)",     "Y", "a, b",
                    "|z|=8, z^4=a, |b|=9, |ab|=13, |abb|=8" ],

["L3(11)",     "N", "a, b",
                    "|a|=3, |z|=55, z^5=b, |ab|=7" ],

["A12",        "Y", "a, b",
                    "|z|=21, z^7=a, |b|=11, |ab|=10, |abb|=35" ],

["M24",        "Y", "a, b",
                    "|y|=10, y^5=a, |z|=15, z^5=b, |ab|=23,\
 |(ab)^3(bab)^2bbabb|=4" ],

["G2(4)",      "N", "a, b",
                    "|z|=8, z^4=a, |b|=5, |ab|=13, |abbababb|=8" ],

["McL",        "Y", "a, b",
     "|y|=10, y^5=a, |z|=15, z^3=b, |ab|=11, |(ab)^4(ba)^2bbabb|=7" ],
["McL.2",      "Y", "c, d",
                    "|z|=22, z^11=c, |d|=3, |C(d)|=1944, |cd|=22,\
 |(cd)^4(dc)^2ddcdd|=24" ],

["HE",         "Y", "a, b",
                    "|z|=10, z^5=a, |b|=7, |C(b)|=1029, |ab|=17" ],

["Co3",        "Y", "a, b",
                    "|y|=9, y^3=a, |z|=20, z^5=b, |ab|=14" ],

];


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##
#E

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