Finite Group DatabasebetaFinite Group Databasebeta| order | 35838 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#13108656⋊C2 |
| unambiguous semidirect product | #13108656⋊(C2×C11) |
| derived, Sylow | C181 ⋊ C2×C9×C11 |
| Hall | C11×#13108656 ⋊ C2 |
| Hall | C11×D181 ⋊ C9 |
| Hall | C11×C181 ⋊ C2×C9 |
| Hall | #13108656 ⋊ C2×C11 |
| Hall | D181 ⋊ C9×C11 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17919 |
1188 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35838, 10);