Finite Group DatabasebetaFinite Group Databasebeta| order | 49588 |
| 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:
2^2,7^2,11,23|a^2=b,c^a=c^4d^3,d^a=c^6d^3,e^a=e^10,f^a=f^22,c^b=c^6,d^b=d^6Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(49588, 68);