Finite Group DatabasebetaFinite Group Databasebeta| order | 45012 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C11 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^2,3,31,11^2|a^2=b,c^a=c^2,d^a=d^30,e^a=e^10f^7,f^a=e^6f,e^b=e^10,f^b=f^10,e^c=e^5f^7,f^c=e^5f^5Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45012, 70);