Finite Group DatabasebetaFinite Group Databasebeta| order | 13572 |
| isoclinism | isoclinic class of #261 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C9×C29×#261 |
| Fitting, Hall | C9×C13×C29 ⋊ C4 |
| derived, Sylow | C13 ⋊ C4×C9×C29 |
| Hall | C13×C29 ⋊ C4×C9 |
| Hall | C9×C13 ⋊ C4×C29 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3393 |
1827 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13572, 25);