Finite Group DatabasebetaFinite Group Databasebeta| order | 47648 |
| automorphism | ? |
| homology | Abelianization (H1) = ? · Schur multiplier (H2) = C2 |
| dihedral | D23824 |
| subgroup | G/H | |
|---|---|---|
| center | ? | |
| commutator | ? | |
| Frattini | ? | |
| hypercenter | ? | |
| hypocenter | ? | |
| LCS | ? | |
| UCS | ? | |
Subgroup lattice not available for this group.
Polycyclic presentation:
2^5,1489|c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^1488,c^b=cd,d^b=de,f^b=f^1488Character table not available for this group.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(47648, 88);