Finite Group DatabasebetaFinite Group Databasebeta| order | 21780 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C11 |
| direct product | C5×#17983714 |
| derived, Hall | C112⋊C9 ⋊ C4×C5 |
| Hall | C5×C112⋊C9 ⋊ C4 |
| Hall | C5×C112 ⋊ Dic9 |
| Sylow | C112 ⋊ C5×Dic9 |
52 conjugacy classes of subgroups.
210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21780, 215);