Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#16861234 |
| Fitting | C4×#41×C127 ⋊ C2 |
| Sylow | C127 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
2564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 13316);