Finite Group DatabasebetaFinite Group Databasebeta| order | 14508 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C31 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D13×C31 |
| Fitting | C2×C9×C13×C31 ⋊ C2 |
| derived, Sylow | C13 ⋊ C22×C9×C31 |
| Hall | C9×C13×C31 ⋊ C22 |
| Hall | C13×C31 ⋊ C22×C9 |
| Hall | C9×C13 ⋊ C22×C31 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7254 |
4464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14508, 71);