Finite Group DatabasebetaFinite Group Databasebeta| order | 16768 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#22553182 |
| Sylow | C131 ⋊ C2×#384 |
888 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16768 |
4216 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16768, 6911);