Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | #380×D127 |
| Fitting | #380×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#380 |
1232 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 6879);