Finite Group DatabasebetaFinite Group Databasebeta| order | 13572 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D377 |
| unambiguous semidirect product | (C2×C29)⋊(C9×D13) |
| Fitting | C2×C9×C13×C29 ⋊ C2 |
| derived, Hall | C13×C29 ⋊ C22×C9 |
| Hall | C9×C13×C29 ⋊ C22 |
| Hall | C9×C29 ⋊ C2×D13 |
| Hall | C9×C13 ⋊ C2×D29 |
| Sylow | C29 ⋊ C2×C9×D13 |
| Sylow | C13 ⋊ C2×C9×D29 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6786 |
3420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13572, 48);