Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | D5×#2171 |
| Fitting | C5×#2171 ⋊ C2 |
| Sylow | C5 ⋊ C2×#2171 |
654 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#12068, AGL(1,𝔽5)×#2171, #72242124 |
| maximal normal subgroup of | D5×#12068, AGL(1,𝔽5)×#2171, #72242124 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 322798);