Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | M32×D20 |
| Fitting | C4×C5×M32 ⋊ C2 |
| Sylow | C5 ⋊ D4×M32 |
734 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 322783);