Finite Group DatabasebetaFinite Group Databasebeta| order | 45540 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,11,2,3,5,23,3|a^2=c,d^3=g^2,d^a=d^2g,e^a=e^2,f^a=f^22,g^a=g^2,f^b=f^2,e^c=e^4Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45540, 38);