Finite Group DatabasebetaFinite Group Databasebeta| order | 54189 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
3^5,223|a^3=e,c^3=d,b^a=bd,f^b=f^39,f^c=f^183Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(54189, 165);