Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×D5×C4⋊Q8 |
| Fitting | C4×C5×C4⋊Q8 ⋊ C2 |
| Sylow | C5 ⋊ C2×C4×C4⋊Q8 |
3358 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 328084);