Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
| direct product | #125×#168 |
| Sylow | C5 ⋊ C8×#125 |
742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1280 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 177872);