Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C26×C42 |
| direct product | C2×#10605123 |
| Fitting | C2×C5×#376 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2346 |
2790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 328823);