Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of Dic90 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic90 |
| Hall | C5×C9 ⋊ C22×Q8 |
| Sylow | C9 ⋊ C22×Dic10 |
| Sylow | C5 ⋊ C22×Dic18 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
372 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 1661);