Finite Group DatabasebetaFinite Group Databasebeta| order | 33396 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C3×C11×Dic253 |
| unambiguous semidirect product | C11⋊(C3×C11×Dic23) |
| derived | C11×C23 ⋊ C3×C4×C11 |
| Hall | C3×C112×C23 ⋊ C4 |
| Hall | C112×C23 ⋊ C3×C4 |
| Hall | C3×C112 ⋊ Dic23 |
| Sylow | C112 ⋊ C3×Dic23 |
| Hall | C3×C23 ⋊ C11×Dic11 |
| Sylow | C23 ⋊ C3×C11×Dic11 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3036 |
8448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33396, 58);