Finite Group DatabasebetaFinite Group Databasebeta| order | 22308 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×Dic507 |
| unambiguous semidirect product | C3⋊(C11×Dic169) |
| derived, Hall | C3×C169 ⋊ C4×C11 |
| Hall | C3×C11×C169 ⋊ C4 |
| Hall | C11×C169 ⋊ Dic3 |
| Sylow | C169 ⋊ C11×Dic3 |
| Hall | C3×C11 ⋊ Dic169 |
| Sylow | C3 ⋊ C11×Dic169 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22308 |
5610 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22308, 10);