Series-equivalent characteristic central subgroups may be distinct
- and are Series-equivalent subgroups (?) of : and are isomorphic groups and the quotient groups and are also isomorphic groups.
- and are both Central subgroup (?)s of , i.e., they are both contained in the center of . In particular, both are Characteristic central subgroup (?)s of .
- is not equal to , i.e., and are distinct subgroups.