Finite Group DatabasebetaFinite Group Databasebeta| order | 16768 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×#16862243 |
| Fitting | C22×C42×C131 ⋊ C2 |
| Sylow | C131 ⋊ C22×#127 |
3000 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8384 |
4216 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16768, 17782);