Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of D3×D15 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×D3×C3⋊#168 |
| derived, Hall | C32×C5 ⋊ C22×C8 |
| Sylow | C32 ⋊ C22×#168 |
| Sylow | C5 ⋊ C2×D3×C3⋊C8 |
326 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
216 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 3666);