Finite Group DatabasebetaFinite Group Databasebeta| order | 51328 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C22 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^7,401|a^2=d,d^2=e,e^2=f,f^2=g,h^a=h^268,c^b=cg,h^b=h^400,h^c=h^400,h^d=h^45,h^e=h^20,h^f=h^400Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(51328, 21807);