| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×D5×D4⋊C8 |
| Fitting | C2×C5×D4⋊C8 ⋊ C2 |
| Sylow | C5 ⋊ C22×D4⋊C8 |
1886 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 135908);