Finite Group DatabasebetaFinite Group Databasebeta| order | 47700 |
| 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:
2,3,2,5^2,53,3|a^2=c,b^3=g,d^a=d^3,e^a=e^3,f^a=f^52,d^b=d^3e^3,e^b=d^4e,d^c=d^4,e^c=e^4Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(47700, 140);