Finite Group DatabasebetaFinite Group Databasebeta| order | 53888 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C24 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^7,421|a^2=f,d^2=e,f^2=g,b^a=be,c^a=cg,d^a=de,h^a=h^29,c^b=ceg,d^b=dg,h^b=h^420,h^c=h^420,h^d=h^420,h^f=h^420Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(53888, 21468);