Finite Group DatabasebetaFinite Group Databasebeta| order | 51776 |
| 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:
2^6,809|a^2=d,d^2=e,e^2=f,g^a=g^239,c^b=cf,g^d=g^491,g^e=g^808Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(51776, 1670);