Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of #67180 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C3 |
| direct product | C22×#67180 |
| Hall | C32×C5 ⋊ C22×Q8 |
| Sylow | C32 ⋊ C22×Dic10 |
| Sylow | C5 ⋊ C22×#634 |
936 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, 5820);