.. _sphx_glr_api_gallery_abstract_algebra_subgroups:

Subgroups and cosets
----------------------

Subgroup and coset enumeration, and Lagrange's theorem.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Enumerates every subgroup of Z_12 and confirms each subgroup&#x27;s order divides 12, and that its left cosets partition the whole group.">

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  .. image:: /api/gallery/abstract_algebra/subgroups/images/thumb/sphx_glr_plot_01_lagranges_theorem_thumb.png
    :alt:

  :doc:`/api/gallery/abstract_algebra/subgroups/plot_01_lagranges_theorem`

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      <div class="sphx-glr-thumbnail-title">Lagrange's theorem: subgroup order divides group order</div>
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    </div>


.. toctree::
   :hidden:

   /api/gallery/abstract_algebra/subgroups/plot_01_lagranges_theorem