{"group ", "AlternatingGroup(5)", "also called ", "Icosahedral", "conjclasInfo ", "Conjugacy Classes of group \ Gp\n-----------------------------\n[1] Order 1 Length 1 \n \ Rep Id(Gp)\n\n[2] Order 2 Length 15 \n Rep (1, 2)(3, \ 4)\n\n[3] Order 3 Length 20 \n Rep (1, 2, 3)\n\n[4] \ Order 5 Length 12 \n Rep (1, 2, 3, 4, 5)\n\n[5] Order 5 \ Length 12 \n Rep (1, 3, 4, 5, 2)\n\n\n", "centralizerInfo ", "[\n Permutation group acting on a set of cardinality 5\n Order = 60 = \ 2^2 * 3 * 5\n (1, 2)(4, 5)\n (2, 3)(4, 5)\n (3, 4, 5),\n \ Permutation group acting on a set of cardinality 5\n Order = 4 = 2^2\n \ (1, 3)(2, 4)\n (1, 2)(3, 4),\n Permutation group acting on a \ set of cardinality 5\n Order = 3\n (1, 2, 3),\n Permutation \ group acting on a set of cardinality 5\n Order = 5\n (1, 2, 3, 4, \ 5),\n Permutation group acting on a set of cardinality 5\n Order = 5\n \ (1, 3, 4, 5, 2)\n]\n", "card[group] ", 60, "\[Lambda]max ", 22, "centralgrading[group] ", {5, 4, 3, 5, 5}, "qdimlist ", {1, 3, 3, 4, 5, 15, 15, 15, 15, 20, 20, 20, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12}, "dimA ", 3600, "horizontalDimensions ", {22, 64, 64, 85, 106, 272, 272, 272, 272, 357, 357, 357, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221}, "dimB ", 1193830, "smallrank ", 5, "smalldim ", {1, 3, 3, 4, 5}}