Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×#21439464 |
| Fitting | C3×C13×C49 ⋊ C3×C4 |
| derived, Hall | C13×C49 ⋊ C32×C4 |
| Hall | C3×#14274254 ⋊ C4 |
| Hall | C49⋊#261 ⋊ C32 |
| Sylow | C49 ⋊ C3×AGL(1,𝔽13) |
| Sylow | C13 ⋊ C3×(C49⋊C3)⋊C4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1911 |
231 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 133);