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{{derivative of|index of a subgroup}}

{{~~guided ~~tour-regular|target = beginners|~~Introduction ~~secnum = three|next = Lagrange's theorem|previous = Left and right coset spaces are naturally isomorphic}}

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

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

{{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.}}

{{#lst:Index of a subgroup|revisit}}

{{~~guided ~~tour-~~bottom~~regular|target = beginners|~~Introduction ~~secnum = three|next = Lagrange's theorem|previous = Left and right coset spaces are naturally isomorphic}}

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