Finite Group DatabasebetaFinite Group Databasebeta| order | 33354 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#11758279⋊C2 |
| unambiguous semidirect product | #11758279⋊(C2×C17) |
| derived, Sylow | C109 ⋊ C2×C9×C17 |
| Hall | C17×#11758279 ⋊ C2 |
| Hall | C17×D109 ⋊ C9 |
| Hall | C17×C109 ⋊ C2×C9 |
| Hall | #11758279 ⋊ C2×C17 |
| Hall | D109 ⋊ C9×C17 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16677 |
1224 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33354, 10);