Finite Group DatabasebetaFinite Group Databasebeta| order | 45180 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C3 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,5,2,3^2,251|a^2=c,d^a=de,e^a=de^2,f^a=f^250,f^b=f^219,d^c=d^2,e^c=e^2Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45180, 58);