1. The Mathieu group M24 as we knew it; 2. Amalgam method; 3. L4(2) in two incarnations and L3(4); 4. From L5(2) to the Mathieu amalgam; 5. M24 as universal completion; 6. Maximal subgroups; 7. 45-representation of M24; 8. The Held group; 9. Inevitability of Mathieu groups; 10. Locally projective graphs and amalgams; Index.