Order (group theory)

Cardinality of a mathematical group, or of the subgroup generated by an element .mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+.mw-empty-elt+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}This article is about order in group theory. For other uses in mathematics, see Order (mathematics). For other uses, see Order (disambiguation). For groups with an ordering relation, see partially ordered group and totally ordered group. .mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+.mw-empty-elt+.ambox,.mw-parser-output .ambox+.mw-empty-elt+.mw-empty-elt+.ambox,.mw-parser-output .ambox+.mw-empty-elt+.mw-empty-elt+.mw-empty-elt+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.m