Finite Group DatabasebetaFinite Group Databasebeta| order | 32128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#30631669 |
| Fitting | C22×M16×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
5044 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32128, 12983);