Finite Group DatabasebetaFinite Group Databasebeta| order | 32128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×C22⋊D251 |
| Fitting | C22×M16×C251 ⋊ C2 |
| Sylow | C251 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
5050 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32128, 13244);