Finite Group DatabasebetaFinite Group Databasebeta| order | 51006 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
| dihedral | D25503 |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,3,8501|b^a=b^2,c^a=c^8500Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(51006, 3);