Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C42 |
| direct product | C2×#26028609 |
| Fitting | C2×C43×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2858 |
4462 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
5720 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 375541);