Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | D5×#2968 |
| Fitting | C5×#2968 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2968 |
2026 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#2968, #72269248 |
| maximal normal subgroup of | AGL(1,𝔽5)×#2968, #72269248 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1034034);