Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C5×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×C5×D3×C8 |
| Fitting | C2×C32×C5×C8 ⋊ C2 |
| derived | C3 ⋊ C22×C3×C5×C8 |
| Hall | C32×C5 ⋊ C22×C8 |
| Sylow | C32 ⋊ C22×C5×C8 |
326 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
720 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 4227);