Finite Group DatabasebetaFinite Group Databasebeta| order | 41748 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C7 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^2,3,71,7^2|a^2=b,c^a=c^2,d^a=d^70,e^a=e^3f^4,f^a=ef^4,e^b=e^6,f^b=f^6,e^c=e^2f^6,f^c=f^4Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(41748, 115);