Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C26×C42 |
| direct product | C4×#19152341 |
| Fitting | C4×#120×C89 ⋊ C2 |
| Sylow | C89 ⋊ C4×H(3,𝔽4) |
2664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5696 |
2540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 332273);