Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10601604 |
| Fitting | C2×C5×#432 ⋊ C2 |
| Sylow | C5 ⋊ C2×#1536 |
1234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 137605);