Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C23×Q8×D127 |
| Fitting | C23×Q8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C24×Q8 |
6264 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, 19304);