Finite Group DatabasebetaFinite Group Databasebeta| order | 32288 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
| direct product | C4×#22549056 |
| unambiguous semidirect product | #16860937⋊C8 |
| Fitting | C4×C1009 ⋊ C8 |
| derived, Sylow | C1009 ⋊ C4×C8 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4036 |
536 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32288, 237);