Finite Group DatabasebetaFinite Group Databasebeta| order | 30636 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C23 · Schur multiplier (H2) = C1 |
| direct product | C23×C9⋊#3866 |
| unambiguous semidirect product | C9⋊(C23×#3866) |
| Fitting, Hall | C9×C23×C37 ⋊ C4 |
| derived, Hall | C9×C37 ⋊ C4×C23 |
| Hall | C23×C37 ⋊ Dic9 |
| Hall | C9×C23 ⋊ #3866 |
| Sylow | C37 ⋊ C23×Dic9 |
| Sylow | C9 ⋊ C23×#3866 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7659 |
2139 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30636, 23);