{"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}}