Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | Q8×#15667926 |
| Fitting | Q8×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ Q8×#99 |
1354 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5696 |
2255 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 186114);