Finite Group DatabasebetaFinite Group Databasebeta| order | 33948 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C41 · Schur multiplier (H2) = C1 |
| direct product | C41×Dic207 |
| unambiguous semidirect product | C9⋊(C41×Dic23) |
| unambiguous semidirect product | C23⋊(Dic9×C41) |
| derived, Hall | C9×C23 ⋊ C4×C41 |
| Hall | C9×C23×C41 ⋊ C4 |
| Hall | C23×C41 ⋊ Dic9 |
| Hall | C9×C41 ⋊ Dic23 |
| Sylow | C23 ⋊ Dic9×C41 |
| Sylow | C9 ⋊ C41×Dic23 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33948 |
8610 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33948, 7);