Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#26022251 |
| Fitting | C2×B(4,𝔽2)×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2199 |
1392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2848 |
1442 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 323595);