Finite Group DatabasebetaFinite Group Databasebeta| order | 54304 |
| 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:
2^5,1697|a^2=b,b^2=c,c^2=d,d^2=e,f^a=f^69,f^b=f^1367,f^c=f^292,f^d=f^414,f^e=f^1696Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(54304, 247);