Finite Group DatabasebetaFinite Group Databasebeta| order | 40180 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C1 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^2,5,7,41,7|a^2=b,d^7=f^6,c^a=c^2,d^a=d^6f,e^a=e^40,f^a=f^6,c^b=c^4Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(40180, 31);