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groupprops jump to content main menu main menu move to sidebar hide key links groupprops main page report errors view log faq 1 question surveys subwiki ref guide credits logo tech lookup terms definitions facts theorems survey articles specific information top terms to know subgroup abelian group trivial group order of a group generating set homomorphism isomorphic groups cyclic group normal subgroup finite group all basic definitions popular groups symmetric group s3 order 3 6 symmetric group s4 order 4 24 alternating group a4 order 4 2 12 dihedral group d8 order 8 symmetric group s5 order 5 120 alternating group a5 order 5 2 60 quaternion group order 8 all particular groups long list groupprops search search log in personal tools log in want site search autocompletion see here encountering 429 too many requests errors when browsing the site see here groupprops the group properties wiki beta main page discussion english read view source view history tools tools move to sidebar hide actions read view source view history refresh general what links here related changes special pages printable version permanent link page information browse properties from groupprops tips for frequent site users learn site specific search shortcuts read the faq welcome to groupprops the group properties wiki beta 8000 articles including most basic group theory material it is managed by vipul naik a ph d in mathematics at the university of chicago it is part of a broader subject wikis initiative see the subject wikis reference guide for more details need help with undergraduate level group theory if you want something specific try the search bar else try basic definitions in group theory basic facts in group theory and elementary non basic facts in group theory pages there s much much more in the wiki pages on symmetric group s3 see also subgroups elements representations symmetric group s4 see also subgroups elements and representations dihedral group d8 see also subgroups elements representations and endomorphisms automorphisms symmetric group s5 see also subgroups elements and representations quaternion group see also subgroups elements and representations alternating group a4 alternating group a5 and many more incomplete not fully finished guided tour for beginners the part prepared so far goes over the basic definitions of groups subgroups cosets basic results such as lagrange s theorem and a little more along with stimulating exercises retrieved from https groupprops subwiki org w index php title main_page oldid 49001 this page was last edited on 17 december 2013 at 22 40 content is available under creative commons attribution share alike unless otherwise noted privacy policy about groupprops disclaimers mobile view toggle limited content width