Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C3×C4×D60 |
| Fitting | C32×C42×C5 ⋊ C2 |
| Hall | C32×C5 ⋊ C4×D4 |
| Sylow | C32 ⋊ C4×D20 |
| Sylow | C5 ⋊ C3×C4×D12 |
406 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
396 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 4287);