Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | #2226×D89 |
| Fitting | C89×#2226 ⋊ C2 |
| Sylow | C89 ⋊ C2×#2226 |
638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5696 |
1334 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 324173);