| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C27 |
| direct product | C2×D5×C22⋊C16 |
| Fitting | C2×C5×C22⋊C16 ⋊ C2 |
| Sylow | C5 ⋊ C22×C22⋊C16 |
1470 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
320 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 322231);