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Preface to the second edition; Preface to the first edition; 1. On permutations; 2. The definition of a group; 3. On the simpler properties of a group which are independent of its mode of representation; 4. Further properties of a group which are independent of its mode of representation; 5. On the composition-series of a group; 6. On the isomorphism of a group within itself; 7. On Abelian groups; 8. On groups whose orders are the powers of primes; 9. On Sylow?s theorem; 10. On permutation-groups: transitive and intransitive groups; 11. On permutation-groups: transitivity and primitivity; 12. On the representation of a group of finite order as a permutation-group; 13. On groups of linear substitutions; 14. On the representation of a group of finite order as a group of linear substitutions; 15. On group-characteristics; 16. Some applications of the theory of groups of linear substitutions and of group-characteristics; 17. On the invariants of groups of linear substitutions; 18. On the graphical representation of a group; 19. On the graphical representation of groups; 20. On congruence groups; Notes; Index of technical terms; Index of authors quoted; General index.

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