{"group ", "SmallGroup(504,157)", "also called ", "Sigma168x3", "conjclasInfo ", "Conjugacy Classes of group \ Gp\n-----------------------------\n[1] Order 1 Length 1 \n \ Rep Id(Gp)\n\n[2] Order 2 Length 21 \n Rep (1, 3)(4, \ 7)\n\n[3] Order 3 Length 1 \n Rep (8, 9, 10)\n\n[4] \ Order 3 Length 1 \n Rep (8, 10, 9)\n\n[5] Order 3 \ Length 56 \n Rep (1, 5, 3)(2, 7, 4)(8, 9, 10)\n\n[6] Order 3 \ Length 56 \n Rep (1, 3, 5)(2, 4, 7)(8, 10, 9)\n\n[7] Order \ 3 Length 56 \n Rep (1, 6, 5)(2, 3, 4)\n\n[8] Order 4 \ Length 42 \n Rep (1, 7, 3, 4)(2, 6)\n\n[9] Order 6 \ Length 21 \n Rep (3, 6)(4, 5)(8, 9, 10)\n\n[10] Order 6 \ Length 21 \n Rep (3, 6)(4, 5)(8, 10, 9)\n\n[11] Order 7 \ Length 24 \n Rep (1, 6, 7, 4, 3, 5, 2)\n\n[12] Order 7 \ Length 24 \n Rep (1, 4, 2, 7, 5, 6, 3)\n\n[13] Order 12 \ Length 42 \n Rep (1, 5, 6, 7)(2, 3)(8, 10, 9)\n\n[14] Order 12 \ Length 42 \n Rep (1, 5, 6, 7)(2, 3)(8, 9, 10)\n\n[15] Order \ 21 Length 24 \n Rep (1, 5, 4, 6, 2, 3, 7)(8, 9, 10)\n\n[16] \ Order 21 Length 24 \n Rep (1, 4, 2, 7, 5, 6, 3)(8, 10, \ 9)\n\n[17] Order 21 Length 24 \n Rep (1, 3, 6, 5, 7, 2, \ 4)(8, 10, 9)\n\n[18] Order 21 Length 24 \n Rep (1, 6, 7, \ 4, 3, 5, 2)(8, 9, 10)\n\n\n", "centralizerInfo ", "[\n Permutation group \ acting on a set of cardinality 10\n Order = 504 = 2^3 * 3^2 * 7\n \ (8, 9, 10)\n (1, 2)(4, 5)\n (2, 3)(5, 7)\n (3, 6)(4, \ 5)\n (3, 4)(5, 6),\n Permutation group acting on a set of \ cardinality 10\n Order = 24 = 2^3 * 3\n (1, 7)(3, 4)\n (2, \ 6)(4, 7)\n (8, 9, 10),\n Permutation group acting on a set of \ cardinality 10\n Order = 504 = 2^3 * 3^2 * 7\n (8, 9, 10)\n \ (1, 2)(4, 5)\n (2, 3)(5, 7)\n (3, 6)(4, 5)\n (3, 4)(5, \ 6),\n Permutation group acting on a set of cardinality 10\n Order = 504 \ = 2^3 * 3^2 * 7\n (8, 9, 10)\n (1, 2)(4, 5)\n (2, 3)(5, \ 7)\n (3, 6)(4, 5)\n (3, 4)(5, 6),\n Permutation group acting \ on a set of cardinality 10\n Order = 9 = 3^2\n (1, 5, 3)(2, 7, 4)\n \ (8, 9, 10),\n Permutation group acting on a set of cardinality 10\n \ Order = 9 = 3^2\n (1, 3, 5)(2, 4, 7)\n (8, 9, 10),\n \ Permutation group acting on a set of cardinality 10\n Order = 9 = 3^2\n \ (1, 6, 5)(2, 3, 4)\n (8, 9, 10),\n Permutation group acting on \ a set of cardinality 10\n Order = 12 = 2^2 * 3\n (1, 7, 3, 4)(2, \ 6)\n (8, 9, 10),\n Permutation group acting on a set of cardinality \ 10\n Order = 24 = 2^3 * 3\n (8, 10, 9)\n (1, 2)(4, 5)\n \ (3, 5)(4, 6)\n (3, 4)(5, 6),\n Permutation group acting on a set \ of cardinality 10\n Order = 24 = 2^3 * 3\n (8, 10, 9)\n (1, \ 2)(4, 5)\n (3, 5)(4, 6)\n (3, 4)(5, 6),\n Permutation group \ acting on a set of cardinality 10\n Order = 21 = 3 * 7\n (1, 6, 7, \ 4, 3, 5, 2)\n (8, 9, 10),\n Permutation group acting on a set of \ cardinality 10\n Order = 21 = 3 * 7\n (1, 4, 2, 7, 5, 6, 3)\n \ (8, 9, 10),\n Permutation group acting on a set of cardinality 10\n \ Order = 12 = 2^2 * 3\n (1, 5, 6, 7)(2, 3)\n (8, 10, 9),\n \ Permutation group acting on a set of cardinality 10\n Order = 12 = 2^2 * \ 3\n (1, 5, 6, 7)(2, 3)\n (8, 10, 9),\n Permutation group \ acting on a set of cardinality 10\n Order = 21 = 3 * 7\n (1, 5, 4, \ 6, 2, 3, 7)\n (8, 9, 10),\n Permutation group acting on a set of \ cardinality 10\n Order = 21 = 3 * 7\n (1, 4, 2, 7, 5, 6, 3)\n \ (8, 9, 10),\n Permutation group acting on a set of cardinality 10\n \ Order = 21 = 3 * 7\n (1, 3, 6, 5, 7, 2, 4)\n (8, 9, 10),\n \ Permutation group acting on a set of cardinality 10\n Order = 21 = 3 * 7\n \ (1, 6, 7, 4, 3, 5, 2)\n (8, 9, 10)\n]\n", "card[group] ", 504, "\[Lambda]max ", 288, "centralgrading[group] ", {18, 15, 18, 18, 9, 9, 9, 12, 15, 15, 21, 21, 12, 12, 21, 21, 21, 21}, "qdimlist ", {1, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 8, 8, 8, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 42, 42, 42, 1, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 8, 8, 8, 1, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 8, 8, 8, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 42, 42, 42, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 42, 42, 42, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24}, "dimA ", 254016, "horizontalDimensions ", {288, 288, 288, 819, 819, 819, 819, 819, 819, 1638, 1638, 1638, 1890, 1890, 1890, 2169, 2169, 2169, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 9144, 9144, 9144, 288, 288, 288, 819, 819, 819, 819, 819, 819, 1638, 1638, 1638, 1890, 1890, 1890, 2169, 2169, 2169, 288, 288, 288, 819, 819, 819, 819, 819, 819, 1638, 1638, 1638, 1890, 1890, 1890, 2169, 2169, 2169, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 11853, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 9144, 9144, 9144, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 4572, 9144, 9144, 9144, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 9144, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355, 5355}, "dimB ", 12033051876, "smallrank ", 18, "smalldim ", {1, 1, 1, 3, 3, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 8, 8, 8}}