Finite Group DatabasebetaFinite Group Databasebeta| order | 13572 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C3×C13⋊C3×Dic29 |
| unambiguous semidirect product | (C13×Dic29)⋊C32 |
| unambiguous semidirect product | (C3×C13×Dic29)⋊C3 |
| derived, Hall | C13×C29 ⋊ C32×C4 |
| Hall | C3×C29×C13⋊C3 ⋊ C4 |
| Hall | C13×Dic29 ⋊ C32 |
| Sylow | C29 ⋊ C3×C4×C13⋊C3 |
| Sylow | C13 ⋊ C32×Dic29 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4524 |
672 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13572, 56);