The program CFPjOrbit written in FORTRAN 90 is aimed at generating the list of one-particle and two-particle coefficients of fractional parentage (CFPs) for the single j-orbit with isospin. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix as proposed in [A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys. 296 (2002) 287]. The program provides fast calculation of coefficients of fractional parentage for high j-orbits with isospin and produces results that have only small numerical uncertainties. The auxiliary program EnumCFP allows one to perform enumeration of the coefficients.Title of program:CFPjOrbit, EnumCFPCatalogue identifier:ADWIProgram summary URL: http://cpc.cs.qub.ac.uk/summaries/ADWIProgram obtainable from: CPC Program Library, Queen's University of Belfast, N. IrelandLicensing provisions:noneComputers:Any computer with a FORTRAN 90 compilerOperating systems under which the program has been tested:Windows 2000Programming language used:FORTRAN 90Memory required to execute with typical data:100 MBNo. of lines in programs, including test data, etc.:4855No. of bytes in distributed programs, including test data, etc.:26 484Distribution format:tar.gzNature of the physical problem:Generating the list of one-particle and two-particle coefficients of fractional parentage for the single j-orbit with isospin.Method of solution:The method is based on the algorithm presented in [A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys. 296 (2002) 287] for the spectral decomposition of an antisymmetrization operator matrix Y. The coefficients of fractional parentage are the eigenvectors of a certain antisymmetrization operator matrix Y that correspond to its unit eigenvalues.Restrictions on the complexity of the problem:The full sets of one-particle and two-particle coefficients of fractional parentage up to the j=9/2 orbit; the number of particles in the higher j-orbits should be restricted. The enumeration of coefficients of fractional parentage up to the j=15/2 orbit; the number of particles in the higher j-orbits should be restricted.Unusual features of the program:Possibility to select subsets of one-particle and two-particle coefficients of fractional parentage for calculation.Typical running time:Of the order of a few seconds for lower j-orbits to hours for the complete j=9/2 orbit calculations.