Finite Group DatabasebetaFinite Group Databasebeta| order | 16768 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic524 |
| Sylow | C131 ⋊ C23×Q16 |
1464 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, 19233);