Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C28 |
| direct product | C2×#10602768 |
| Fitting | C24×C5×C8 ⋊ C2 |
| Sylow | C5 ⋊ C2×#1869 |
2438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
368 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 170686);