Outer linear group:OL(2,3)
This group is defined as the outer linear group of degree two over the field of three elements. It is denoted .
|nilpotency class||--||not a nilpotent group.|
|derived length||4||commutator subgroup is .|
|Frattini length||2||Frattini subgroup is cyclic of order two.|
|Fitting length||3||Fitting subgroup is the quaternion group, and the quotient is dihedral of order twelve.|
This group can be defined using GAP's SmallGroup function: