Finite Group DatabasebetaFinite Group Databasebeta| order | 51104 |
| 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:
2^5,1597|a^2=d,d^2=e,f^a=f^610,c^b=ce,f^b=f^1596,f^c=f^1596,f^d=f^1596Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(51104, 234);