Finite Group DatabasebetaFinite Group Databasebeta| order | 21780 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3 |
| direct product | C32×#14559049 |
| derived, Hall | #10597245 ⋊ C32×C4 |
| Hall | C32×#10597245 ⋊ C4 |
| Hall | C32×C112 ⋊ Dic5 |
| Sylow | C112 ⋊ C32×Dic5 |
132 conjugacy classes of subgroups.
558 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21780, 329);