Finite Group DatabasebetaFinite Group Databasebeta| order | 29988 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C7 |
| direct product | C17×#13183544 |
| derived, Hall | #89205 ⋊ C4×C17 |
| Hall | C17×#89205 ⋊ C4 |
| Hall | C72×C17 ⋊ Dic9 |
| Sylow | C72 ⋊ C17×Dic9 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2142 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29988, 197);