Under the Gambling Act 2005, a members club, miners welfare club and commercial can apply for the following permits which allow gaming machines and some forms of gambling.
Club machine permit - this permit entitles clubs to offer up to three category B4 gaming machines. It does not permit any other type of gaming. It is the equivalent to a part III registration under the Gaming Act 1968.
Club gaming permit - this permit entitles clubs to offer up to three category B4 gaming machines, plus facilities for equal chance gaming (subject to certain limits which are prescribed by regulations.) It is the equivalent to a part II registration under the old 1968 Gaming Act.
The system is complicated as it allows the different types of clubs different permissions to provide gaming machines and gambling. We have written some guidance [GN-7 GA2005 Club Gaming Machine Permits.pdf] which explains who can do what. You can also read through the legal process on the Gambling Commission website which lists all the regulations related to gambling.