  
  [1X5 [33X[0;0YAdditional features of the package[133X[101X
  
  
  [1X5.1 [33X[0;0YAdditional features of the package[133X[101X
  
  [33X[0;0YAs  an additional feature of this package we provide some functions to count
  extensions  of  [22Xp[122X-groups  and  Lie algebras over [22XGF(p)[122X. These functions have
  been used in counting the [22X2[122X-groups of size [22X2^10[122X.[133X
  
  [1X5.1-1 NumberOfPClass2PGroups[101X
  
  [33X[1;0Y[29X[2XNumberOfPClass2PGroups[102X( [3Xn[103X, [3Xp[103X, [3Xk[103X ) [32X operation[133X
  
  [33X[0;0YThis  function  determines  the  number of [3Xn[103X-generator [3Xp[103X-groups of [3Xp[103X-class 2
  with Frattini subgroup of order [10X2^[3Xk[103X[10X[110X.[133X
  
  [1X5.1-2 NumberOfPClass2PGroups[101X
  
  [33X[1;0Y[29X[2XNumberOfPClass2PGroups[102X( [3Xn[103X, [3Xp[103X ) [32X operation[133X
  
  [33X[0;0YThis  function  returns  a  list  of  of  numbers of [3Xn[103X-generator [3Xp[103X-groups of
  [3Xp[103X-class 2 with Frattini subgroup of order [10X2^k[110X for [10Xk[110X in [22X1, ..., n(n+1)/2[122X.[133X
  
  [1X5.1-3 NumberOfClass2LieAlgebras[101X
  
  [33X[1;0Y[29X[2XNumberOfClass2LieAlgebras[102X( [3Xn[103X, [3Xp[103X, [3Xk[103X ) [32X operation[133X
  
  [33X[0;0YThis  function  determines the number of [3Xn[103X-generator Lie algebras of class 2
  over [3XGF(p)[103X with derived Lie subalgebra of dimension [3Xk[103X.[133X
  
  [1X5.1-4 NumberOfClass2LieAlgbras[101X
  
  [33X[1;0Y[29X[2XNumberOfClass2LieAlgbras[102X( [3Xn[103X, [3Xp[103X ) [32X operation[133X
  
  [33X[0;0YThis  function  returns  a list of of numbers of [3Xn[103X-generator Lie algebras of
  class  2  over  [22XGF(p)[122X with derived Lie subalgebra of dimension [22Xk[122X for [22Xk[122X in [22X1,
  ..., n(n-1)/2[122X.[133X
  
  [33X[0;0Y [133X
  
