Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#15668032 |
| Fitting | C8×#41×C89 ⋊ C2 |
| Sylow | C89 ⋊ C8×#135 |
750 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
3632 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 138944);