Finite Group DatabasebetaFinite Group Databasebeta| order | 33012 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic1179 |
| unambiguous semidirect product | C9⋊(C7×Dic131) |
| unambiguous semidirect product | C131⋊(C7×Dic9) |
| derived, Hall | C9×C131 ⋊ C4×C7 |
| Hall | C7×C9×C131 ⋊ C4 |
| Hall | C7×C131 ⋊ Dic9 |
| Sylow | C131 ⋊ C7×Dic9 |
| Hall | C7×C9 ⋊ Dic131 |
| Sylow | C9 ⋊ C7×Dic131 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 33012 |
8274 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33012, 7);