The official primary ballot shall include candidates for township offices. Township offices and candidates shall follow state and county offices and candidates. Parties qualified to appear on the primary ballot for state and county offices and no others are qualified to appear and have the names of their candidates printed on the township portion of the primary ballot. Parties qualified to nominate candidates for state and county offices under section 685 and no others are qualified to nominate candidates for township offices at the county caucuses provided in section 686a.