Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C9×C17 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×C17×Dic7 |
| derived | C7 ⋊ C4×C7×C9×C17 |
| Hall | C72×C9×C17 ⋊ C4 |
| Hall | C72×C17 ⋊ C4×C9 |
| Hall | C72×C9 ⋊ C4×C17 |
| Sylow | C72 ⋊ C4×C9×C17 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4284 |
10710 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 154);