Finite Group DatabasebetaFinite Group Databasebeta| order | 32576 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C8×D509 |
| Fitting | C4×C8×C509 ⋊ C2 |
| derived, Sylow | C509 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16288 |
8192 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32576, 493);