Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×D5⋊#104 |
| Fitting | C4×C5×#41 ⋊ C4 |
| Sylow | C5 ⋊ C2×C4×#104 |
1878 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
152 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1103663);