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Template:Group navbox - Revision history
2026-07-01T13:19:57Z
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wikipedia>Z423x5c6: // Edit via Wikiplus
2021-03-01T08:07:37Z
<p>// Edit via Wikiplus</p>
<p><b>New page</b></p><div>{{Navbox<br />
| name = Group navbox<br />
| title = [[Group (mathematics)|Groups]]<br />
| bodyclass = hlist<br />
| basestyle = background: #ceecee<br />
<br />
| group1 = [[Group theory|Basic notions]]<br />
| list1 = <br />
* [[Subgroup]]<br />
* [[Normal subgroup]]<br />
* [[Commutator subgroup]]<br />
* [[Quotient group]]<br />
* [[Group homomorphism]]<br />
* ([[Semidirect product|Semi-]]) [[Direct product of groups|direct product]]<br />
* [[Direct sum of groups|direct sum]]<br />
<br />
| group2 = Types of groups<br />
| list2 = <br />
* [[Finite group]]s<br />
* [[Abelian group]]s<br />
* [[Cyclic group]]s<br />
* [[Infinite group]]<br />
* [[Simple group]]s<br />
* [[Solvable group]]s<br />
* [[Symmetry group]]<br />
* [[Space group]]<br />
* [[Point group]]<br />
* [[Wallpaper group]]<br />
* [[Trivial group]]<br />
<br />
| group3 = [[Discrete group]]s<br />
| list3 = <br />
;[[Classification of finite simple groups]]<br />
: [[Cyclic group]] Z<sub>n</sub><br />
: [[Alternating group]] A<sub>n</sub><br />
<br />
;[[Sporadic group]]s<br />
: [[Mathieu group]] M<sub>11..12</sub>,M<sub>22..24</sub><br />
: [[Conway group]] Co<sub>1..3</sub><br />
: Janko groups [[Janko group J1|J<sub>1</sub>]], [[Janko group J2|J<sub>2</sub>]], [[Janko group J3|J<sub>3</sub>]], [[Janko group J4|J<sub>4</sub>]]<br />
: [[Fischer group]] F<sub>22..24</sub><br />
: [[Baby monster group]] B<br />
: [[Monster group]] M<br />
<br />
;Other finite groups<br />
: [[Symmetric group]] ''S''<sub>''n''</sub><br />
: [[Dihedral group]] ''D''<sub>''n''</sub><br />
: [[Rubik's Cube group]]<br />
<br />
| group4 = [[Lie group]]s<br />
| list4 = <br />
* [[General linear group]] GL(n)<br />
* [[Special linear group]] SL(n)<br />
* [[Orthogonal group]] O(n)<br />
* [[orthogonal group|Special orthogonal group]] SO(n)<br />
* [[Unitary group]] U(n)<br />
* [[Special unitary group]] SU(n)<br />
* [[Symplectic group]] Sp(n) <br />
<br />
;[[Exceptional Lie groups]]<br />
: [[G2 (mathematics)|G<sub>2</sub>]]<br />
: [[F4 (mathematics)|F<sub>4</sub>]]<br />
: [[E6 (mathematics)|E<sub>6</sub>]]<br />
: [[E7 (mathematics)|E<sub>7</sub>]]<br />
: [[E8 (mathematics)|E<sub>8</sub>]] <br />
<br />
* [[Circle group]]<br />
* [[Lorentz group]]<br />
* [[Poincaré group]]<br />
* [[Quaternion group]]<br />
<br />
| group5 = Infinite dimensional groups<br />
| list5 = <br />
* [[Conformal group]]<br />
* [[Diffeomorphism|Diffeomorphism group]]<br />
* [[Loop group]]<br />
* [[Quantum group]]<br />
* O(∞)<br />
* SU(∞)<br />
* Sp(∞)<br />
<br />
| belowstyle = font-weight:bold;<br />
<br />
| below = <br />
* [[History of group theory|History]]<br />
* [[Group theory#Applications of group theory|Applications]]<br />
* [[Abstract algebra]]<br />
}}<noinclude>[[Category:Mathematics navigational boxes]]</noinclude></div>
wikipedia>Z423x5c6