Finite Group DatabasebetaFinite Group Databasebeta| order | 40572 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^2,3^2,7,23,7|e^7=g^6,e^a=e^6g,f^a=f^22,g^a=g^6,d^b=d^2,e^b=e^6g,g^b=g^6,e^c=e^2g^3,g^c=g^2Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(40572, 61);