Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D5×#2946 |
| Fitting | C5×#2946 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2946 |
2946 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#60176 |
| maximal normal subgroup of | D5×#60176 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1033657);