Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×M32×D127 |
| Fitting | C2×M32×C127 ⋊ C2 |
| Sylow | C127 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
2600 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 17604);