Finite Group DatabasebetaFinite Group Databasebeta| order | 50816 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C29 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^7,397|a^2=g,e^2=f,b^a=bf,d^a=df,h^a=h^334,c^b=cf,h^g=h^396Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(50816, 21490);