Finite Group DatabasebetaFinite Group Databasebeta| order | 61184 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C213 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^8,239|a^2=gh,b^2=g,c^2=gh,d^2=g,e^2=g,f^2=g,b^a=bg,c^a=ch,d^a=dg,c^b=cgh,d^b=dh,i^b=i^238,i^c=i^238,i^d=i^238,f^e=fh,i^e=i^238,i^f=i^238Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(61184, 1083315);