Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C22×D5⋊#99 |
| unambiguous semidirect product | D5⋊(C22×#99) |
| Fitting | C23×C5×D4 ⋊ C4 |
| Sylow | C5 ⋊ C23×#99 |
7902 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
128 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1114710);