Category:Finite groups

**finite group**
	mathematical group based upon a finite number of elements
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Subclass of	finitely generated group; locally finite group; thin group; profinite group; Hopfian group; FC-group; elementary amenable group; residually finite group;
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In abstract algebra, a finite group is a mathematical group with a finite number of elements. A group is a set of elements together with an operation which associates, to each ordered pair of elements, an element of the set.[1] With a finite group, the set is finite.

Subcategories

This category has the following 2 subcategories, out of 2 total.

G

Groups by order (36 C, 1 P)

S

Sporadic groups (1 C, 3 F)

Media in category "Finite groups"

The following 19 files are in this category, out of 19 total.

Binary icosahedral group elements 12-fold.svg 1,000 × 1,000; 47 KB
Binary icosahedral group subgroups.png 933 × 1,049; 100 KB
Binary octahedral group elements 12-fold.svg 1,000 × 1,000; 19 KB
Binary octahedral group elements.png 1,171 × 1,237; 101 KB
Binary octahedral group elements2.png 958 × 866; 299 KB
Binary octahedral group subgroups.png 2,152 × 1,948; 189 KB
Binary tetrahedral elements.svg 1,000 × 1,000; 5 KB
Binary tetrahedral group elements 12-fold.svg 1,000 × 1,000; 10 KB
Binary tetrahedral group elements-12fold.png 1,199 × 1,271; 131 KB
Binary tetrahedral group elements-12fold.svg 1,000 × 1,000; 4 KB
Binary tetrahedral group elements.png 963 × 1,001; 76 KB
Binary tetrahedral group subgroups.png 1,066 × 1,166; 64 KB
Cayley graph of the dihedral group of order 16.svg 385 × 385; 12 KB
Cayley graph of the modular maximal-cyclic group of order 16.svg 385 × 385; 12 KB
Cayley graph of the quasidihedral group of order 16.svg 385 × 385; 12 KB
Classification of the finite simple groups.jpg 4,000 × 4,000; 1.91 MB
Classification of the finite simple groups.png 2,100 × 2,100; 3.03 MB
Hierarchy of finite groups.svg 412 × 285; 51 KB
Pauli group-Cayley graph.svg 385 × 385; 22 KB