Finite Group DatabasebetaFinite Group Databasebeta| order | 33462 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C1 |
| direct product | D11×C169⋊C9 |
| unambiguous semidirect product | C11⋊(C2×C169⋊C9) |
| unambiguous semidirect product | (D11×C169)⋊C9 |
| derived, Hall | C11×C169 ⋊ C2×C9 |
| Hall | C11×C169⋊C9 ⋊ C2 |
| Hall | D11×C169 ⋊ C9 |
| Sylow | C169 ⋊ C9×D11 |
| Sylow | C11 ⋊ C2×C169⋊C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16731 |
1239 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33462, 3);