Finite Group DatabasebetaFinite Group Databasebeta| order | 51472 |
| 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:
2^4,3217|a^2=b,b^2=c,c^2=d,e^a=e^279,e^b=e^633,e^c=e^1781,e^d=e^3216Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(51472, 54);