Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#26022376 |
| Fitting | C2×#362×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2222 |
638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
1460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 324130);