Finite Group DatabasebetaFinite Group Databasebeta| order | 41748 |
| 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:
2,3,2,7^2,71|a^2=c,d^a=d^3e^5,e^a=d^5e^4,f^a=f^70,d^b=d^2,e^b=e^2,d^c=d^6,e^c=e^6Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(41748, 117);