Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C16 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C16×D89 |
| Fitting | C2×C4×C16×C89 ⋊ C2 |
| derived, Sylow | C89 ⋊ C22×C4×C16 |
1022 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
5888 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 322189);