Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C213 |
| direct product | C2×D5×#564 |
| Fitting | C2×C5×#564 ⋊ C2 |
| Sylow | C5 ⋊ C22×#564 |
6374 conjugacy classes of subgroups; only the 3275 normal subgroups are shown.
This group has 6374 conjugacy classes of subgroups — too many to draw. Only its 3275 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 640 |
152 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1076463);