Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C42×#13083564 |
| Sylow | C89 ⋊ C42×Q16 |
1110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22784 |
3632 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 168044);