Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C49 · Schur multiplier (H2) = C3 |
| direct product | C49×#10597479 |
| Fitting, Hall | C32×C17×C49 ⋊ C4 |
| derived, Hall | C32×C17 ⋊ C4×C49 |
| Hall | C17×C49 ⋊ #157 |
| Hall | C32×C49 ⋊ #595 |
| Sylow | C17 ⋊ #157×C49 |
| Sylow | C32 ⋊ C49×#595 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4998 |
2058 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 111);