Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×Q8×#13083551 |
| Fitting | C22×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×Q8×C22⋊C4 |
5414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
3620 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 328755);