CHAPTER I. ON SUBSTITUTIONS.CHAPTER II. THE DEFINITION OF A GROUP.CHAPTER III. ON THE SIMPLER PROPERTIES OF A GROUP WHICH ARE INDEPENDENT OF ITS MODE OF REPRESENTATION.CHAPTER IV. ON ABELIAN GROUPS.CHAPTER V. ON GROUPS WHOSE ORDERS ARE POWERS OF PRIMESCHAPTER VI. ON SYLOW'S THEOREM.CHAPTER VII. ON THE COMPOSITION-SERIES OF A GROUP.CHAPTER VIII. ON SUBSTITUTION GROUPS: TRANSITIVE AND INTRANSITIVE GROUPS.CHAPTER IX. ON SUBSTITUTION GROUPS: PRIMITIVE AND IMPRIMITIVE GROUPS.CHAPTER X. ON SUBSTITUTION GROUPS: TRANSITIVITY AND PRIMITIVITY: (CONCLUDING PROPERTIES).CHAPTER XI. ON THE ISOMORPHISM OF A GROUP WITH ITSELF.CHAPTER XII. ON THE GRAPHICAL REPRESENTATION OF A GROUPCHAPTER XIII. ON THE GRAPHICAL REPRESENTATION OF GROUPS: GROUPS OF GENUS ZERO AND UNITY: CAYLEY'S COLOUR GROUPS CHAPTER XIV. ON THE LINEAR GROUP.CHAPTER XV. ON SOLUBLE AND COMPOSITE GROUPS