Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of D32 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×C5×D32 |
| Fitting | C2×C32×C4×C5 ⋊ C22 |
| derived, Sylow | C32 ⋊ C23×C4×C5 |
| Hall | C32×C5 ⋊ C23×C4 |
998 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 5632);