Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#10601789 |
| Fitting | C2×C5×B(4,𝔽2) ⋊ C2 |
| Sylow | C5 ⋊ C2×#2196 |
1956 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
104 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 323567);