Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×M16×C257 ⋊ C2 |
| Sylow | C257 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=e,e^2=f,b^a=bd,g^a=g^256,c^b=cf,g^b=g^2562588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662257, #45664269, #45664282, … |
| maximal normal subgroup of | #45662257, #45664269, #45664282, … |
| maximal quotient of | #45662669, #45662673, #45662677, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 517);