nilpotent group
group that has an upper central series terminating with G
self-dual group
group whose subgroups are isomorphic to quotient gruops and quotients to subgroups
abelian group
group whose group operation is commutative
quaternion group
finite group with 8 elements, whose elements can be represented by multiplication of unit quaternions {±1, ±i, ±j, ±k}
Heisenberg group
Lie group of 3×3 upper triangular matrices under matrix multiplication
Dedekind group
group such that every its subgroup is normal