Finite Group DatabasebetaFinite Group Databasebeta| order | 58624 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C28 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^8,229|a^2=g,b^2=f,c^2=f,e^2=g,g^2=h,b^a=bf,c^a=ch,d^a=df,i^a=i^107,c^b=cfh,d^b=dh,e^b=eh,i^b=i^228,i^c=i^228,i^d=i^228,i^e=i^122,i^g=i^228Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(58624, 1116258);