Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C4×Q8×Dic10 |
| Sylow | C5 ⋊ C4×Q82 |
2324 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1280 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 329572);