Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C8 |
| direct product | #1716×D89 |
| Fitting | C89×#1716 ⋊ C2 |
| Sylow | C89 ⋊ C2×#1716 |
798 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
1196 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 157291);