Finite Group DatabasebetaFinite Group Databasebeta| order | 45012 |
| 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:
2,3,31,11^2,2|a^2=f,b^a=b^2,c^a=c^30,d^a=d^2e^10,e^a=d^3e^9,d^b=d^2e^10,e^b=d^7e^8Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45012, 37);