Finite Group DatabasebetaFinite Group Databasebeta| order | 27588 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C3×C11×Dic209 |
| unambiguous semidirect product | C11⋊(C3×C11×Dic19) |
| derived | C11×C19 ⋊ C3×C4×C11 |
| Hall | C3×C112×C19 ⋊ C4 |
| Hall | C112×C19 ⋊ C3×C4 |
| Hall | C3×C112 ⋊ Dic19 |
| Sylow | C112 ⋊ C3×Dic19 |
| Hall | C3×C19 ⋊ C11×Dic11 |
| Sylow | C19 ⋊ C3×C11×Dic11 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2508 |
6996 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27588, 60);