Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #124×C257 ⋊ C2 |
| Sylow | C257 ⋊ #454 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4112 |
Polycyclic presentation:
2^6,257|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^256,d^c=df1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662470, #45662472, #45666337, … |
| maximal normal subgroup of | #45662470, #45662472, #45666337, … |
| maximal quotient of | #45663247, #45663254, #45663259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 721);