Finite Group DatabasebetaFinite Group Databasebeta| order | 21780 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×#11925890⋊C2 |
| unambiguous semidirect product | #11925890⋊(C2×C9) |
| Fitting, Hall | C9×C112 ⋊ C2×D5 |
| derived, Hall | #10597245 ⋊ C22×C9 |
| Hall | C9×#10597245 ⋊ C22 |
| Sylow | C112 ⋊ C2×C9×D5 |
102 conjugacy classes of subgroups.
261 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21780, 180);