Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | AGL(1,𝔽5)×#387 |
| Fitting | C5×#387 ⋊ C4 |
| Sylow | C5 ⋊ C4×#387 |
1742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1098192);