Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C25 |
| direct product | Q8×D5⋊C16 |
| unambiguous semidirect product | D5⋊(Q8×C16) |
| Sylow | C5 ⋊ C2×Q8×C16 |
582 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 1113896);