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Generators of the automorphism group 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 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,2537,2017,1952,1432,1367,847,782,262)(201,3804,3963,1140,3126,2634,2793,4065,1956,1464,1623,2895,786,294,453,1725,3711,3219,3378,555,2541,2049,2208,3480,1371,879,1038,2310)(202,3812,4027,1652,3127,2642,2857,482,1957,1472,1687,3407,787,302,517,2237,3712,3227,3442,1067,2542,2057,2272,3992,1372,887,1102,2822)(203,3820,4091,2164,3128,2650,2921,994,1958,1480,1751,3919,788,310,581,2749,3713,3235,3506,1579,2543,2065,2336,409,1373,895,1166,3334)(209,3868,380,1141,3134,2698,3305,4066,1964,1528,2135,2896,794,358,965,1726,3719,3283,3890,556,2549,2113,2720,3481,1379,943,1550,2311)(210,3876,444,1653,3135,2706,3369,483,1965,1536,2199,3408,795,366,1029,2238,3720,3291,3954,1068,2550,2121,2784,3993,1380,951,1614,2823)(211,3884,508,2165,3136,2714,3433,995,1966,1544,2263,3920,796,374,1093,2750,3721,3299,4018,1580,2551,2129,2848,410,1381,959,1678,3335)(212,3892,572,2677,3137,2722,3497,1507,1967,1552,2327,337,797,382,1157,3262,3722,3307,4082,2092,2552,2137,2912,922,1382,967,1742,3847)(217,3932,892,1142,3142,2762,3817,4067,1972,1592,2647,2897,802,422,1477,1727,3727,3347,307,557,2557,2177,3232,3482,1387,1007,2062,2312)(218,3940,956,1654,3143,2770,3881,484,1973,1600,2711,3409,803,430,1541,2239,3728,3355,371,1069,2558,2185,3296,3994,1388,1015,2126,2824)(219,3948,1020,2166,3144,2778,3945,996,1974,1608,2775,3921,804,438,1605,2751,3729,3363,435,1581,2559,2193,3360,411,1389,1023,2190,3336)(220,3956,1084,2678,3145,2786,4009,1508,1975,1616,2839,338,805,446,1669,3263,3730,3371,499,2093,2560,2201,3424,923,1390,1031,2254,3848)(221,3964,1148,3190,3146,2794,4073,2020,1976,1624,2903,850,806,454,1733,3775,3731,3379,563,2605,2561,2209,3488,1435,1391,1039,2318,265)(225,3996,1404,1143,3150,2826,234,4068,1980,1656,3159,2898,810,486,1989,1728,3735,3411,819,558,2565,2241,3744,3483,1395,1071,2574,2313)(226,4004,1468,1655,3151,2834,298,485,1981,1664,3223,3410,811,494,2053,2240,3736,3419,883,1070,2566,2249,3808,3995,1396,1079,2638,2825)(227,4012,1532,2167,3152,2842,362,997,1982,1672,3287,3922,812,502,2117,2752,3737,3427,947,1582,2567,2257,3872,412,1397,1087,2702,3337)(228,4020,1596,2679,3153,2850,426,1509,1983,1680,3351,339,813,510,2181,3264,3738,3435,1011,2094,2568,2265,3936,924,1398,1095,2766,3849)(229,4028,1660,3191,3154,2858,490,2021,1984,1688,3415,851,814,518,2245,3776,3739,3443,1075,2606,2569,2273,4000,1436,1399,1103,2830,266)(235,4076,2044,2168,3160,2906,874,998,1990,1736,3799,3923,820,566,2629,2753,3745,3491,1459,1583,2575,2321,289,413,1405,1151,3214,3338)(236,4084,2108,2680,3161,2914,938,1510,1991,1744,3863,340,821,574,2693,3265,3746,3499,1523,2095,2576,2329,353,925,1406,1159,3278,3850)(237,4092,2172,3192,3162,2922,1002,2022,1992,1752,3927,852,822,582,2757,3777,3747,3507,1587,2607,2577,2337,417,1437,1407,1167,3342,267)(273,285,381,1149,3198,3210,3306,4074,2028,2040,2136,2904,858,870,966,1734,3783,3795,3891,564,2613,2625,2721,3489,1443,1455,1551,2319)(274,293,445,1661,3199,3218,3370,491,2029,2048,2200,3416,859,878,1030,2246,3784,3803,3955,1076,2614,2633,2785,4001,1444,1463,1615,2831)(275,301,509,2173,3200,3226,3434,1003,2030,2056,2264,3928,860,886,1094,2758,3785,3811,4019,1588,2615,2641,2849,418,1445,1471,1679,3343)(276,309,573,2685,3201,3234,3498,1515,2031,2064,2328,345,861,894,1158,3270,3786,3819,4083,2100,2616,2649,2913,930,1446,1479,1743,3855)(281,349,893,1150,3206,3274,3818,4075,2036,2104,2648,2905,866,934,1478,1735,3791,3859,308,565,2621,2689,3233,3490,1451,1519,2063,2320)(282,357,957,1662,3207,3282,3882,492,2037,2112,2712,3417,867,942,1542,2247,3792,3867,372,1077,2622,2697,3297,4002,1452,1527,2127,2832)(283,365,1021,2174,3208,3290,3946,1004,2038,2120,2776,3929,868,950,1606,2759,3793,3875,436,1589,2623,2705,3361,419,1453,1535,2191,3344)(284,373,1085,2686,3209,3298,4010,1516,2039,2128,2840,346,869,958,1670,3271,3794,3883,500,2101,2624,2713,3425,931,1454,1543,2255,3856)(290,421,1469,1663,3215,3346,299,493,2045,2176,3224,3418,875,1006,2054,2248,3800,3931,884,1078,2630,2761,3809,4003,1460,1591,2639,2833)(291,429,1533,2175,3216,3354,363,1005,2046,2184,3288,3930,876,1014,2118,2760,3801,3939,948,1590,2631,2769,3873,420,1461,1599,2703,3345)(292,437,1597,2687,3217,3362,427,1517,2047,2192,3352,347,877,1022,2182,3272,3802,3947,1012,2102,2632,2777,3937,932,1462,1607,2767,3857)(300,501,2109,2688,3225,3426,939,1518,2055,2256,3864,348,885,1086,2694,3273,3810,4011,1524,2103,2640,2841,354,933,1470,1671,3279,3858)(355,941,1534,2183,3280,3866,364,1013,2110,2696,3289,3938,940,1526,2119,2768,3865,356,949,1598,2695,3281,3874,428,1525,2111,2704,3353)(522,2277,4032,1692,3447,1107,2862) The automorphism group order is 201277440