Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D5×Q8⋊C8 |
| Fitting | C2×C5×Q8⋊C8 ⋊ C2 |
| Sylow | C5 ⋊ C22×Q8⋊C8 |
1454 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 135912);