Finite Group DatabasebetaFinite Group Databasebeta| order | 61696 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C22 |
No aliases for this group.
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^8,241|a^2=e,c^2=e,d^2=h,e^2=f,f^2=g,g^2=h,b^a=bd,c^a=ch,d^a=dh,i^a=i^111,d^b=dh,i^b=i^240,i^c=i^111,i^e=i^30,i^f=i^177,i^g=i^240Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(61696, 1118875);