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{{quotation|'''WHAT YOU NEED TO DO''':

* Read the two equivalent definitions of index (as number of left cosets, and number of right cosets)

* ~~Peruse through the rest ~~Convince yourself of why the ~~page's content~~two definitions are equivalent.}}{{#lst:Index of a subgroup|~~main~~beginner}}{{quotation|'''WHAT'S MORE''': Some further facts about index of a subgroup, some of which you'll see soon in the tour, and others, that'll be seen much later. Ignore those that use unfamiliar terminology.}}

{{guided tour-bottom|beginners|Introduction three|Lagrange's theorem|Left and right coset spaces are naturally isomorphic}}

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