Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C257 ⋊ #477 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
Polycyclic presentation:
2^6,257|a^2=df,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^2561811 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663439, #45663440, #45663444, … |
| maximal normal subgroup of | #45663439, #45663440, #45663444, … |
| maximal quotient of | #45664322, #45664573, #45664909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 841);