Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×AΣL(1,𝔽16)×D89 |
| Fitting | C2×AΣL(1,𝔽16)×C89 ⋊ C2 |
| Sylow | C89 ⋊ C22×AΣL(1,𝔽16) |
2774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1424 |
1196 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 322277);