Finite Group DatabasebetaFinite Group Databasebeta| order | 21780 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×#14559049 |
| derived, Hall | #10597245 ⋊ C4×C9 |
| Hall | C9×#10597245 ⋊ C4 |
| Hall | C9×C112 ⋊ Dic5 |
| Sylow | C112 ⋊ C9×Dic5 |
66 conjugacy classes of subgroups.
558 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21780, 133);