Finite Group DatabasebetaFinite Group Databasebeta| order | 13572 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×Dic261 |
| unambiguous semidirect product | C9⋊(C13×Dic29) |
| derived, Hall | C9×C29 ⋊ C4×C13 |
| Hall | C9×C13×C29 ⋊ C4 |
| Hall | C13×C29 ⋊ Dic9 |
| Hall | C9×C13 ⋊ Dic29 |
| Sylow | C29 ⋊ C13×Dic9 |
| Sylow | C9 ⋊ C13×Dic29 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13572 |
3432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13572, 7);