Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×D17×D49 |
| Fitting, Hall | C9×C17×C49 ⋊ C22 |
| derived, Hall | C17×C49 ⋊ C22×C9 |
| Hall | C9×C49 ⋊ C2×D17 |
| Hall | C9×C17 ⋊ C2×D49 |
| Sylow | C49 ⋊ C2×C9×D17 |
| Sylow | C17 ⋊ C2×C9×D49 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7497 |
2340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 24);