Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D5×#2238 |
| Fitting | C5×#2238 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2238 |
604 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
80 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#33688, AGL(1,𝔽5)×#2238, #72258431 |
| maximal normal subgroup of | D5×#33688, AGL(1,𝔽5)×#2238, #72258431 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 324449);