Finite Group DatabasebetaFinite Group Databasebeta| order | 22308 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C13 |
| direct product | C3×C11⋊#10621725 |
| unambiguous semidirect product | C11⋊(C3×#10621725) |
| derived, Hall | C11×C132 ⋊ C3×C4 |
| Hall | C3×C11×C132 ⋊ C4 |
| Hall | C3×C132 ⋊ Dic11 |
| Sylow | C132 ⋊ C3×Dic11 |
| Hall | C3×C11 ⋊ #10621725 |
| Sylow | C11 ⋊ C3×#10621725 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22308 |
5586 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22308, 70);