Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C3×C5×#235 |
| Fitting | C22×C32×C4×C5 ⋊ C2 |
| Hall | C32×C5 ⋊ C2×#41 |
| Sylow | C32 ⋊ C2×C5×#41 |
710 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
540 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 5778);