Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic180 |
| Hall | C5×C9 ⋊ C2×Q16 |
| Sylow | C9 ⋊ C2×Dic20 |
| Sylow | C5 ⋊ C2×Dic36 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
366 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 864);