Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#26022422 |
| Fitting | C2×#365×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2230 |
558 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2848 |
1454 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 324297);