Inspired by a large chess game with people taking the place of the game pieces, Number 6 formulates a new escape plan with some compatriots.
| Name | Type | Role | |
|---|---|---|---|
| Gerald Kelsey | Writer | ||
| George Coulouris | Guest Star | Man with the Stick | |
| Ronald Radd | Guest Star | Rook | |
| Patricia Jessel | Guest Star | 1st Psychiatrist | |
| Peter Wyngarde | Guest Star | Number Two | |
| Rosalie Crutchley | Guest Star | Queen | |
| Don Chaffey | Director | ||
| Michael Danvers-Walker | Actor | Painter | |
| Terence Donovan | Actor | Sailor | |
| Denis Shaw | Actor | Shopkeeper | |
| Joe Dunne | Actor | 1st Tower Guard | |
| Angelo Muscat | Actor | The Butler | |
| Victor Platt | Actor | Assistant Supervisor | |
| Romo Gorrara | Actor | 2nd Tower Guard | |
| Bee Duffell | Actor | 2nd Psychiatrist | |
| Shivaun O'Casey | Actor | Nurse | |
| Basil Dignam | Actor | Supervisor | |
| Geoffrey Reed | Actor | Skipper |