Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×(C49⋊C3)⋊Dic13 |
| unambiguous semidirect product | (C49⋊C3)⋊(C3×Dic13) |
| derived, Hall | C13×C49 ⋊ C32×C4 |
| Hall | C3×C13×C49⋊C3 ⋊ C4 |
| Hall | Dic637 ⋊ C32 |
| Hall | C3×C49⋊C3 ⋊ Dic13 |
| Sylow | C49 ⋊ C32×Dic13 |
| Sylow | C13 ⋊ C3×(C49⋊C3)⋊C4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7644 |
768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 89);