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Quotient Group Finite Group Property Cyclic Group Finitely Generated Solvable Subnormal Series Nilpotent Group
| 1 | Property |
| 1 | Finite |
| 1 | Quotient Group |
| 1 | Group |
| 2 | Cyclic Group |
| 3 | Finitely Generated |
| 5 | Solvable |
| 6 | Nilpotent Group |
| 7 | Subnormal Series |
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Supersolvable Group
A group
is supersolvable if it has a finite
normal series
is cyclic.
A supersolvable group is solvable.
Finitely generated nilpotent groups are supersolvable.