Finite Group DatabasebetaFinite Group Databasebeta| order | 33354 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C109 · Schur multiplier (H2) = C1 |
| direct product | C9×D17×C109 |
| unambiguous semidirect product | C17⋊(C2×C9×C109) |
| Fitting, Hall | C9×C17×C109 ⋊ C2 |
| derived, Sylow | C17 ⋊ C2×C9×C109 |
| Hall | C17×C109 ⋊ C2×C9 |
| Hall | C9×C17 ⋊ C2×C109 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16677 |
9810 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33354, 4);