Finite Group DatabasebetaFinite Group Databasebeta| order | 56166 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
| dihedral | D28083 |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,3,11,23,37|b^a=b^2,c^a=c^10,d^a=d^22,e^a=e^36Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(56166, 19);