Finite Group DatabasebetaFinite Group Databasebeta| order | 45126 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
| dihedral | D22563 |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,3,23,109,3|b^3=e^2,b^a=b^2e,c^a=c^22,d^a=d^108,e^a=e^2Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(45126, 9);