Finite Group DatabasebetaFinite Group Databasebeta| order | 32576 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#22550862 |
| Fitting | C4×Q8×C509 ⋊ C2 |
| Sylow | C509 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16288 |
5120 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32576, 1019);