Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×#10612036 |
| Fitting | C2×C5×B(4,𝔽2) ⋊ C2 |
| Sylow | C5 ⋊ C2×#3027 |
5110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
122 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1036300);