Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C17 · Schur multiplier (H2) = C2×C7 |
| direct product | C2×C17×#11725078 |
| derived, Sylow | C72 ⋊ C22×C9×C17 |
| Hall | C17×#89205 ⋊ C22 |
| Hall | C2×C17×C7⋊D7 ⋊ C9 |
| Hall | C72×C17 ⋊ C22×C9 |
| Hall | #89205 ⋊ C22×C17 |
| Hall | C2×C7⋊D7 ⋊ C9×C17 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2142 |
1428 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 208);