Finite Group DatabasebetaFinite Group Databasebeta| order | 52352 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C25 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^7,409|a^2=e,e^2=f,f^2=g,d^a=dg,h^a=h^31,c^b=cg,h^d=h^408,h^e=h^143,h^f=h^408Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(52352, 21764);