Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#26022164 |
| Fitting | C23×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2184 |
1434 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5696 |
2522 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 323304);