Category:Finite groups

• Finite group

*

• Triple product property

2

• 2E6 (mathematics)

3

• 3-step group
• 3-transposition group
• 3D4

A

• A-group
• Alperin–Brauer–Gorenstein theorem
• Alternating group
• Aschbacher block
• ATLAS of Finite Groups
• Automorphisms of the symmetric and alternating groups

B

• B-theorem
• Baer–Suzuki theorem
• Balance theorem
• Black box group
• Brauer tree
• Brauer–Fowler theorem
• Brauer–Suzuki theorem
• Brauer–Suzuki–Wall theorem
• Burnside ring

C

• C-group
• Carter subgroup
• Cauchy's theorem (group theory)
• Cayley table
• Central product
• Chevalley–Shephard–Todd theorem
• Classical involution theorem
• Classification of finite simple groups
• CN-group
• Coherent set of characters
• Commuting probability
• Component theorem

D

• Dade isometry
• Dade's conjecture
• Deligne–Lusztig theory
• Dempwolff group
• Diameter (group theory)
• Dicyclic group
• Dowling geometry

E

• Elementary abelian group
• Exceptional character

F

• Feit–Thompson theorem
• Fibrifold
• Fitting subgroup
• Fourier transform on finite groups
• Frobenius group

G

• Generalized Fitting subgroup
• Gilman–Griess theorem
• Gorenstein–Harada theorem
• Gorenstein–Walter theorem
• Group of GF(2)-type
• Group of symplectic type

H

• Hall subgroup
• Hessian group

I

• Icosahedral symmetry
• Isoclinism of groups
• Iwasawa group

K

• Klein four-group

L

• L-balance theorem
• Lagrange's theorem (group theory)
• List of small groups
• Local analysis
• Lovász conjecture

M

• Mitchell's group
• Monomial group
• Multiplicative group of integers modulo n

N

• N-group (finite group theory)
• Normal p-complement

O

• Octahedral symmetry
• Omega and agemo subgroup

P

• P-constrained group
• P-soluble group
• P-stable group
• Pauli group
• Permutation group
• Primary cyclic group
• PSL(2,7)
• Puig subgroup

Q

• Quadratic pair
• Quasidihedral group
• Quasithin group
• Quaternion group

R

• Ree group
• Regular p-group
• Replacement theorem
• Representation ring
• Rubik's Cube group

S

• Sastry automorphism
• Schreier conjecture
• Schur cover
• Signalizer functor
• Sims conjecture
• Small subgroup confinement attack
• Space group
• Special abelian subgroup
• Special group (finite group theory)
• Strongly embedded subgroup
• Suzuki groups
• Sylow theorems

T

• Tate cohomology group
• Tetrahedral symmetry
• Thin group (finite group theory)
• Thompson factorization
• Thompson order formula
• Thompson subgroup
• Thompson transitivity theorem
• Thompson uniqueness theorem
• Triangle group
• Trichotomy theorem
• Trivial group

U

• Uniqueness case

V

• Valentiner group
• Vertex of a representation

W

• Walter theorem

Z

• Z* theorem
• Z-group
• ZJ theorem