Finite Group DatabasebetaFinite Group Databasebeta| order | 40650 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C5 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2,3,5^2,271|c^a=c^4,d^a=d^4,c^b=cd^3,d^b=c^4d^3,e^b=e^28Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(40650, 37);