Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C3 |
| direct product | Q8×C3⋊Dic15 |
| Hall | C32×C5 ⋊ C4×Q8 |
| Sylow | C32 ⋊ Q8×Dic5 |
| Sylow | C5 ⋊ Q8×C3⋊Dic3 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 4528);