Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D5⋊#354 |
| unambiguous semidirect product | D5⋊(C2×#354) |
| Fitting | C2×C5×#124 ⋊ C4 |
| Sylow | C5 ⋊ C22×#354 |
1502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
80 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1113505);