Finite Group DatabasebetaFinite Group Databasebeta| order | 32576 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#30654283 |
| unambiguous semidirect product | D509⋊#106 |
| Fitting | C2×C8×C509 ⋊ C4 |
| Sylow | C509 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8144 |
2060 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32576, 1557);