Finite Group DatabasebetaFinite Group Databasebeta| order | 10836 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#19129337 |
| derived, Hall | C7×C43 ⋊ C22×C9 |
| Hall | #14582150 ⋊ C22 |
| Hall | C2×D7×C43 ⋊ C9 |
| Sylow | C43 ⋊ C2×D7⋊C9 |
| Hall | C2×D7 ⋊ C43⋊C9 |
| Sylow | C7 ⋊ C22×C43⋊C9 |
60 conjugacy classes of subgroups.
462 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10836, 50);