Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#10601170 |
| Fitting | C22×C5×#104 ⋊ C2 |
| Sylow | C5 ⋊ C2×#1876 |
1754 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
188 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 170850);